{"name":"Matrix Algebras Identity Tables","version":"2026-11-10","license":"https://creativecommons.org/licenses/by/4.0/","url":"https://www.dm.ufscar.br/profs/waldeck/pi/","creator":"Waldeck Schützer","note":"status is one of exact, probable, lower bound, upper bound, unchecked. Only exact values are certified equalities. A partition that is not listed is not claimed, it is not a 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,1,1,1,1)",2100,2100,"exact",2100,2100],[1,12,"t","(6,1,1,1,1,1,1)",462,462,"exact",462,462],[1,12,"t","(5,5,2)",1320,1320,"exact",1320,1320],[1,12,"t","(5,5,1,1)",1485,1485,"exact",1485,1485],[1,12,"t","(5,4,3)",2112,2112,"exact",2112,2112],[1,12,"t","(5,4,2,1)",5775,5775,"exact",5775,5775],[1,12,"t","(5,4,1,1,1)",3520,3520,"exact",3520,3520],[1,12,"t","(5,3,3,1)",4158,4158,"exact",4158,4158],[1,12,"t","(5,3,2,2)",4455,4455,"exact",4455,4455],[1,12,"t","(5,3,2,1,1)",7700,7700,"exact",7700,7700],[1,12,"t","(5,3,1,1,1,1)",3564,3564,"exact",3564,3564],[1,12,"t","(5,2,2,2,1)",3520,3520,"exact",3520,3520],[1,12,"t","(5,2,2,1,1,1)",3696,3696,"exact",3696,3696],[1,12,"t","(5,2,1,1,1,1,1)",1728,1728,"exact",1728,1728],[1,12,"t","(5,1,1,1,1,1,1,1)",330,330,"exact",330,330],[1,12,"t","(4,4,4)",462,462,"exact",462,462],[1,12,"t","(4,4,3,1)",2970,2970,"exact",2970,2970],[1,12,"t","(4,4,2,2)",2640,2640,"exact",2640,2640],[1,12,"t","(4,4,2,1,1)",4455,4455,"exact",4455,4455],[1,12,"t","(4,4,1,1,1,1)",1925,1925,"exact",1925,1925],[1,12,"t","(4,3,3,2)",2970,2970,"exact",2970,2970],[1,12,"t","(4,3,3,1,1)",4158,4158,"exact",4158,4158],[1,12,"t","(4,3,2,2,1)",5775,5775,"exact",5775,5775],[1,12,"t","(4,3,2,1,1,1)",5632,5632,"exact",5632,5632],[1,12,"t","(4,3,1,1,1,1,1)",2079,2079,"exact",2079,2079],[1,12,"t","(4,2,2,2,2)",1485,1485,"exact",1485,1485],[1,12,"t","(4,2,2,2,1,1)",3080,3080,"exact",3080,3080],[1,12,"t","(4,2,2,1,1,1,1)",2376,2376,"exact",2376,2376],[1,12,"t","(4,2,1,1,1,1,1,1)",945,945,"exact",945,945],[1,12,"t","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[1,12,"t","(3,3,3,3)",462,462,"exact",462,462],[1,12,"t","(3,3,3,2,1)",2112,2112,"exact",2112,2112],[1,12,"t","(3,3,3,1,1,1)",1650,1650,"exact",1650,1650],[1,12,"t","(3,3,2,2,2)",1320,1320,"exact",1320,1320],[1,12,"t","(3,3,2,2,1,1)",2673,2673,"exact",2673,2673],[1,12,"t","(3,3,2,1,1,1,1)",1925,1925,"exact",1925,1925],[1,12,"t","(3,3,1,1,1,1,1,1)",616,616,"exact",616,616],[1,12,"t","(3,2,2,2,2,1)",1155,1155,"exact",1155,1155],[1,12,"t","(3,2,2,2,1,1,1)",1408,1408,"exact",1408,1408],[1,12,"t","(3,2,2,1,1,1,1,1)",891,891,"exact",891,891],[1,12,"t","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[1,12,"t","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[1,12,"t","(2,2,2,2,2,2)",132,132,"exact",132,132],[1,12,"t","(2,2,2,2,2,1,1)",297,297,"exact",297,297],[1,12,"t","(2,2,2,2,1,1,1,1)",275,275,"exact",275,275],[1,12,"t","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[1,12,"t","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[1,12,"t","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[1,12,"t","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,13,"t","(13)",1,1,"exact",1,1],[1,13,"t","(12,1)",12,12,"exact",12,12],[1,13,"t","(11,2)",65,65,"exact",65,65],[1,13,"t","(11,1,1)",66,66,"exact",66,66],[1,13,"t","(10,3)",208,208,"exact",208,208],[1,13,"t","(10,2,1)",429,429,"exact",429,429],[1,13,"t","(10,1,1,1)",220,220,"exact",220,220],[1,13,"t","(9,4)",429,429,"exact",429,429],[1,13,"t","(9,3,1)",1365,1365,"exact",1365,1365],[1,13,"t","(9,2,2)",936,936,"exact",936,936],[1,13,"t","(9,2,1,1)",1430,1430,"exact",1430,1430],[1,13,"t","(9,1,1,1,1)",495,495,"exact",495,495],[1,13,"t","(8,5)",572,572,"exact",572,572],[1,13,"t","(8,4,1)",2574,2574,"exact",2574,2574],[1,13,"t","(8,3,2)",3432,3432,"exact",3432,3432],[1,13,"t","(8,3,1,1)",4212,4212,"exact",4212,4212],[1,13,"t","(8,2,2,1)",3640,3640,"exact",3640,3640],[1,13,"t","(8,2,1,1,1)",3003,3003,"exact",3003,3003],[1,13,"t","(8,1,1,1,1,1)",792,792,"exact",792,792],[1,13,"t","(7,6)",429,429,"exact",429,429],[1,13,"t","(7,5,1)",2860,2860,"exact",2860,2860],[1,13,"t","(7,4,2)",6006,6006,"exact",6006,6006],[1,13,"t","(7,4,1,1)",6864,6864,"exact",6864,6864],[1,13,"t","(7,3,3)",3575,3575,"exact",3575,3575],[1,13,"t","(7,3,2,1)",12012,12012,"exact",12012,12012],[1,13,"t","(7,3,1,1,1)",7800,7800,"exact",7800,7800],[1,13,"t","(7,2,2,2)",4004,4004,"exact",4004,4004],[1,13,"t","(7,2,2,1,1)",7371,7371,"exact",7371,7371],[1,13,"t","(7,2,1,1,1,1)",4290,4290,"exact",4290,4290],[1,13,"t","(7,1,1,1,1,1,1)",924,924,"exact",924,924],[1,13,"t","(6,6,1)",1287,1287,"exact",1287,1287],[1,13,"t","(6,5,2)",5148,5148,"exact",5148,5148],[1,13,"t","(6,5,1,1)",5720,5720,"exact",5720,5720],[1,13,"t","(6,4,3)",6435,6435,"exact",6435,6435],[1,13,"t","(6,4,2,1)",17160,17160,"exact",17160,17160],[1,13,"t","(6,4,1,1,1)",10296,10296,"exact",10296,10296],[1,13,"t","(6,3,3,1)",11440,11440,"exact",11440,11440],[1,13,"t","(6,3,2,2)",12012,12012,"exact",12012,12012],[1,13,"t","(6,3,2,1,1)",20592,20592,"exact",20592,20592],[1,13,"t","(6,3,1,1,1,1)",9360,9360,"exact",9360,9360],[1,13,"t","(6,2,2,2,1)",9009,9009,"exact",9009,9009],[1,13,"t","(6,2,2,1,1,1)",9360,9360,"exact",9360,9360],[1,13,"t","(6,2,1,1,1,1,1)",4290,4290,"exact",4290,4290],[1,13,"t","(6,1,1,1,1,1,1,1)",792,792,"exact",792,792],[1,13,"t","(5,5,3)",3432,3432,"exact",3432,3432],[1,13,"t","(5,5,2,1)",8580,8580,"exact",8580,8580],[1,13,"t","(5,5,1,1,1)",5005,5005,"exact",5005,5005],[1,13,"t","(5,4,4)",2574,2574,"exact",2574,2574],[1,13,"t","(5,4,3,1)",15015,15015,"exact",15015,15015],[1,13,"t","(5,4,2,2)",12870,12870,"exact",12870,12870],[1,13,"t","(5,4,2,1,1)",21450,21450,"exact",21450,21450],[1,13,"t","(5,4,1,1,1,1)",9009,9009,"exact",9009,9009],[1,13,"t","(5,3,3,2)",11583,11583,"exact",11583,11583],[1,13,"t","(5,3,3,1,1)",16016,16016,"exact",16016,16016],[1,13,"t","(5,3,2,2,1)",21450,21450,"exact",21450,21450],[1,13,"t","(5,3,2,1,1,1)",20592,20592,"exact",20592,20592],[1,13,"t","(5,3,1,1,1,1,1)",7371,7371,"exact",7371,7371],[1,13,"t","(5,2,2,2,2)",5005,5005,"exact",5005,5005],[1,13,"t","(5,2,2,2,1,1)",10296,10296,"exact",10296,10296],[1,13,"t","(5,2,2,1,1,1,1)",7800,7800,"exact",7800,7800],[1,13,"t","(5,2,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,13,"t","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[1,13,"t","(4,4,4,1)",3432,3432,"exact",3432,3432],[1,13,"t","(4,4,3,2)",8580,8580,"exact",8580,8580],[1,13,"t","(4,4,3,1,1)",11583,11583,"exact",11583,11583],[1,13,"t","(4,4,2,2,1)",12870,12870,"exact",12870,12870],[1,13,"t","(4,4,2,1,1,1)",12012,12012,"exact",12012,12012],[1,13,"t","(4,4,1,1,1,1,1)",4004,4004,"exact",4004,4004],[1,13,"t","(4,3,3,3)",3432,3432,"exact",3432,3432],[1,13,"t","(4,3,3,2,1)",15015,15015,"exact",15015,15015],[1,13,"t","(4,3,3,1,1,1)",11440,11440,"exact",11440,11440],[1,13,"t","(4,3,2,2,2)",8580,8580,"exact",8580,8580],[1,13,"t","(4,3,2,2,1,1)",17160,17160,"exact",17160,17160],[1,13,"t","(4,3,2,1,1,1,1)",12012,12012,"exact",12012,12012],[1,13,"t","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[1,13,"t","(4,2,2,2,2,1)",5720,5720,"exact",5720,5720],[1,13,"t","(4,2,2,2,1,1,1)",6864,6864,"exact",6864,6864],[1,13,"t","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[1,13,"t","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[1,13,"t","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[1,13,"t","(3,3,3,3,1)",2574,2574,"exact",2574,2574],[1,13,"t","(3,3,3,2,2)",3432,3432,"exact",3432,3432],[1,13,"t","(3,3,3,2,1,1)",6435,6435,"exact",6435,6435],[1,13,"t","(3,3,3,1,1,1,1)",3575,3575,"exact",3575,3575],[1,13,"t","(3,3,2,2,2,1)",5148,5148,"exact",5148,5148],[1,13,"t","(3,3,2,2,1,1,1)",6006,6006,"exact",6006,6006],[1,13,"t","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[1,13,"t","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[1,13,"t","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[1,13,"t","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[1,13,"t","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[1,13,"t","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[1,13,"t","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[1,13,"t","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[1,13,"t","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[1,13,"t","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[1,13,"t","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[1,13,"t","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[1,13,"t","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[1,13,"t","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[1,13,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,14,"t","(14)",1,1,"exact",1,1],[1,14,"t","(13,1)",13,13,"exact",13,13],[1,14,"t","(12,2)",77,77,"exact",77,77],[1,14,"t","(12,1,1)",78,78,"exact",78,78],[1,14,"t","(11,3)",273,273,"exact",273,273],[1,14,"t","(11,2,1)",560,560,"exact",560,560],[1,14,"t","(11,1,1,1)",286,286,"exact",286,286],[1,14,"t","(10,4)",637,637,"exact",637,637],[1,14,"t","(10,3,1)",2002,2002,"exact",2002,2002],[1,14,"t","(10,2,2)",1365,1365,"exact",1365,1365],[1,14,"t","(10,2,1,1)",2079,2079,"exact",2079,2079],[1,14,"t","(10,1,1,1,1)",715,715,"exact",715,715],[1,14,"t","(9,5)",1001,1001,"exact",1001,1001],[1,14,"t","(9,4,1)",4368,4368,"exact",4368,4368],[1,14,"t","(9,3,2)",5733,5733,"exact",5733,5733],[1,14,"t","(9,3,1,1)",7007,7007,"exact",7007,7007],[1,14,"t","(9,2,2,1)",6006,6006,"exact",6006,6006],[1,14,"t","(9,2,1,1,1)",4928,4928,"exact",4928,4928],[1,14,"t","(9,1,1,1,1,1)",1287,1287,"exact",1287,1287],[1,14,"t","(8,6)",1001,1001,"exact",1001,1001],[1,14,"t","(8,5,1)",6006,6006,"exact",6006,6006],[1,14,"t","(8,4,2)",12012,12012,"exact",12012,12012],[1,14,"t","(8,4,1,1)",13650,13650,"exact",13650,13650],[1,14,"t","(8,3,3)",7007,7007,"exact",7007,7007],[1,14,"t","(8,3,2,1)",23296,23296,"exact",23296,23296],[1,14,"t","(8,3,1,1,1)",15015,15015,"exact",15015,15015],[1,14,"t","(8,2,2,2)",7644,7644,"exact",7644,7644],[1,14,"t","(8,2,2,1,1)",14014,14014,"exact",14014,14014],[1,14,"t","(8,2,1,1,1,1)",8085,8085,"exact",8085,8085],[1,14,"t","(8,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[1,14,"t","(7,7)",429,429,"exact",429,429],[1,14,"t","(7,6,1)",4576,4576,"exact",4576,4576],[1,14,"t","(7,5,2)",14014,14014,"exact",14014,14014],[1,14,"t","(7,5,1,1)",15444,15444,"exact",15444,15444],[1,14,"t","(7,4,3)",16016,16016,"exact",16016,16016],[1,14,"t","(7,4,2,1)",42042,42042,"exact",42042,42042],[1,14,"t","(7,4,1,1,1)",24960,24960,"exact",24960,24960],[1,14,"t","(7,3,3,1)",27027,27027,"exact",27027,27027],[1,14,"t","(7,3,2,2)",28028,28028,"exact",28028,28028],[1,14,"t","(7,3,2,1,1)",47775,47775,"exact",47775,47775],[1,14,"t","(7,3,1,1,1,1)",21450,21450,"exact",21450,21450],[1,14,"t","(7,2,2,2,1)",20384,20384,"exact",20384,20384],[1,14,"t","(7,2,2,1,1,1)",21021,21021,"exact",21021,21021],[1,14,"t","(7,2,1,1,1,1,1)",9504,9504,"exact",9504,9504],[1,14,"t","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[1,14,"t","(6,6,2)",6435,6435,"exact",6435,6435],[1,14,"t","(6,6,1,1)",7007,7007,"exact",7007,7007],[1,14,"t","(6,5,3)",15015,15015,"exact",15015,15015],[1,14,"t","(6,5,2,1)",36608,36608,"exact",36608,36608],[1,14,"t","(6,5,1,1,1)",21021,21021,"exact",21021,21021],[1,14,"t","(6,4,4)",9009,9009,"exact",9009,9009],[1,14,"t","(6,4,3,1)",50050,50050,"exact",50050,50050],[1,14,"t","(6,4,2,2)",42042,42042,"exact",42042,42042],[1,14,"t","(6,4,2,1,1)",69498,69498,"exact",69498,69498],[1,14,"t","(6,4,1,1,1,1)",28665,28665,"exact",28665,28665],[1,14,"t","(6,3,3,2)",35035,35035,"exact",35035,35035],[1,14,"t","(6,3,3,1,1)",48048,48048,"exact",48048,48048],[1,14,"t","(6,3,2,2,1)",63063,63063,"exact",63063,63063],[1,14,"t","(6,3,2,1,1,1)",59904,59904,"exact",59904,59904],[1,14,"t","(6,3,1,1,1,1,1)",21021,21021,"exact",21021,21021],[1,14,"t","(6,2,2,2,2)",14014,14014,"exact",14014,14014],[1,14,"t","(6,2,2,2,1,1)",28665,28665,"exact",28665,28665],[1,14,"t","(6,2,2,1,1,1,1)",21450,21450,"exact",21450,21450],[1,14,"t","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[1,14,"t","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[1,14,"t","(5,5,4)",6006,6006,"exact",6006,6006],[1,14,"t","(5,5,3,1)",27027,27027,"exact",27027,27027],[1,14,"t","(5,5,2,2)",21450,21450,"exact",21450,21450],[1,14,"t","(5,5,2,1,1)",35035,35035,"exact",35035,35035],[1,14,"t","(5,5,1,1,1,1)",14014,14014,"exact",14014,14014],[1,14,"t","(5,4,4,1)",21021,21021,"exact",21021,21021],[1,14,"t","(5,4,3,2)",48048,48048,"exact",48048,48048],[1,14,"t","(5,4,3,1,1)",64064,64064,"exact",64064,64064],[1,14,"t","(5,4,2,2,1)",68640,68640,"exact",68640,68640],[1,14,"t","(5,4,2,1,1,1)",63063,63063,"exact",63063,63063],[1,14,"t","(5,4,1,1,1,1,1)",20384,20384,"exact",20384,20384],[1,14,"t","(5,3,3,3)",15015,15015,"exact",15015,15015],[1,14,"t","(5,3,3,2,1)",64064,64064,"exact",64064,64064],[1,14,"t","(5,3,3,1,1,1)",48048,48048,"exact",48048,48048],[1,14,"t","(5,3,2,2,2)",35035,35035,"exact",35035,35035],[1,14,"t","(5,3,2,2,1,1)",69498,69498,"exact",69498,69498],[1,14,"t","(5,3,2,1,1,1,1)",47775,47775,"exact",47775,47775],[1,14,"t","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[1,14,"t","(5,2,2,2,2,1)",21021,21021,"exact",21021,21021],[1,14,"t","(5,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[1,14,"t","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[1,14,"t","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[1,14,"t","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[1,14,"t","(4,4,4,2)",12012,12012,"exact",12012,12012],[1,14,"t","(4,4,4,1,1)",15015,15015,"exact",15015,15015],[1,14,"t","(4,4,3,3)",12012,12012,"exact",12012,12012],[1,14,"t","(4,4,3,2,1)",48048,48048,"exact",48048,48048],[1,14,"t","(4,4,3,1,1,1)",35035,35035,"exact",35035,35035],[1,14,"t","(4,4,2,2,2)",21450,21450,"exact",21450,21450],[1,14,"t","(4,4,2,2,1,1)",42042,42042,"exact",42042,42042],[1,14,"t","(4,4,2,1,1,1,1)",28028,28028,"exact",28028,28028],[1,14,"t","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[1,14,"t","(4,3,3,3,1)",21021,21021,"exact",21021,21021],[1,14,"t","(4,3,3,2,2)",27027,27027,"exact",27027,27027],[1,14,"t","(4,3,3,2,1,1)",50050,50050,"exact",50050,50050],[1,14,"t","(4,3,3,1,1,1,1)",27027,27027,"exact",27027,27027],[1,14,"t","(4,3,2,2,2,1)",36608,36608,"exact",36608,36608],[1,14,"t","(4,3,2,2,1,1,1)",42042,42042,"exact",42042,42042],[1,14,"t","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[1,14,"t","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[1,14,"t","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[1,14,"t","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[1,14,"t","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[1,14,"t","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[1,14,"t","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[1,14,"t","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[1,14,"t","(3,3,3,3,2)",6006,6006,"exact",6006,6006],[1,14,"t","(3,3,3,3,1,1)",9009,9009,"exact",9009,9009],[1,14,"t","(3,3,3,2,2,1)",15015,15015,"exact",15015,15015],[1,14,"t","(3,3,3,2,1,1,1)",16016,16016,"exact",16016,16016],[1,14,"t","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[1,14,"t","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[1,14,"t","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[1,14,"t","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[1,14,"t","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[1,14,"t","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[1,14,"t","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[1,14,"t","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[1,14,"t","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[1,14,"t","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[1,14,"t","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[1,14,"t","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[1,14,"t","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[1,14,"t","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[1,14,"t","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[1,14,"t","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[1,14,"t","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[1,14,"t","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[1,14,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[1,14,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,15,"t","(15)",1,1,"exact",1,1],[1,15,"t","(14,1)",14,14,"exact",14,14],[1,15,"t","(13,2)",90,90,"exact",90,90],[1,15,"t","(13,1,1)",91,91,"exact",91,91],[1,15,"t","(12,3)",350,350,"exact",350,350],[1,15,"t","(12,2,1)",715,715,"exact",715,715],[1,15,"t","(12,1,1,1)",364,364,"exact",364,364],[1,15,"t","(11,4)",910,910,"exact",910,910],[1,15,"t","(11,3,1)",2835,2835,"exact",2835,2835],[1,15,"t","(11,2,2)",1925,1925,"exact",1925,1925],[1,15,"t","(11,2,1,1)",2925,2925,"exact",2925,2925],[1,15,"t","(11,1,1,1,1)",1001,1001,"exact",1001,1001],[1,15,"t","(10,5)",1638,1638,"exact",1638,1638],[1,15,"t","(10,4,1)",7007,7007,"exact",7007,7007],[1,15,"t","(10,3,2)",9100,9100,"exact",9100,9100],[1,15,"t","(10,3,1,1)",11088,11088,"exact",11088,11088],[1,15,"t","(10,2,2,1)",9450,9450,"exact",9450,9450],[1,15,"t","(10,2,1,1,1)",7722,7722,"exact",7722,7722],[1,15,"t","(10,1,1,1,1,1)",2002,2002,"exact",2002,2002],[1,15,"t","(9,6)",2002,2002,"exact",2002,2002],[1,15,"t","(9,5,1)",11375,11375,"exact",11375,11375],[1,15,"t","(9,4,2)",22113,22113,"exact",22113,22113],[1,15,"t","(9,4,1,1)",25025,25025,"exact",25025,25025],[1,15,"t","(9,3,3)",12740,12740,"exact",12740,12740],[1,15,"t","(9,3,2,1)",42042,42042,"exact",42042,42042],[1,15,"t","(9,3,1,1,1)",26950,26950,"exact",26950,26950],[1,15,"t","(9,2,2,2)",13650,13650,"exact",13650,13650],[1,15,"t","(9,2,2,1,1)",24948,24948,"exact",24948,24948],[1,15,"t","(9,2,1,1,1,1)",14300,14300,"exact",14300,14300],[1,15,"t","(9,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,15,"t","(8,7)",1430,1430,"exact",1430,1430],[1,15,"t","(8,6,1)",11583,11583,"exact",11583,11583],[1,15,"t","(8,5,2)",32032,32032,"exact",32032,32032],[1,15,"t","(8,5,1,1)",35100,35100,"exact",35100,35100],[1,15,"t","(8,4,3)",35035,35035,"exact",35035,35035],[1,15,"t","(8,4,2,1)",91000,91000,"exact",91000,91000],[1,15,"t","(8,4,1,1,1)",53625,53625,"exact",53625,53625],[1,15,"t","(8,3,3,1)",57330,57330,"exact",57330,57330],[1,15,"t","(8,3,2,2)",58968,58968,"exact",58968,58968],[1,15,"t","(8,3,2,1,1)",100100,100100,"exact",100100,100100],[1,15,"t","(8,3,1,1,1,1)",44550,44550,"exact",44550,44550],[1,15,"t","(8,2,2,2,1)",42042,42042,"exact",42042,42042],[1,15,"t","(8,2,2,1,1,1)",43120,43120,"exact",43120,43120],[1,15,"t","(8,2,1,1,1,1,1)",19305,19305,"exact",19305,19305],[1,15,"t","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[1,15,"t","(7,7,1)",5005,5005,"exact",5005,5005],[1,15,"t","(7,6,2)",25025,25025,"exact",25025,25025],[1,15,"t","(7,6,1,1)",27027,27027,"exact",27027,27027],[1,15,"t","(7,5,3)",45045,45045,"exact",45045,45045],[1,15,"t","(7,5,2,1)",108108,108108,"exact",108108,108108],[1,15,"t","(7,5,1,1,1)",61425,61425,"exact",61425,61425],[1,15,"t","(7,4,4)",25025,25025,"exact",25025,25025],[1,15,"t","(7,4,3,1)",135135,135135,"exact",135135,135135],[1,15,"t","(7,4,2,2)",112112,112112,"exact",112112,112112],[1,15,"t","(7,4,2,1,1)",184275,184275,"exact",184275,184275],[1,15,"t","(7,4,1,1,1,1)",75075,75075,"exact",75075,75075],[1,15,"t","(7,3,3,2)",90090,90090,"exact",90090,90090],[1,15,"t","(7,3,3,1,1)",122850,122850,"exact",122850,122850],[1,15,"t","(7,3,2,2,1)",159250,159250,"exact",159250,159250],[1,15,"t","(7,3,2,1,1,1)",150150,150150,"exact",150150,150150],[1,15,"t","(7,3,1,1,1,1,1)",51975,51975,"exact",51975,51975],[1,15,"t","(7,2,2,2,2)",34398,34398,"exact",34398,34398],[1,15,"t","(7,2,2,2,1,1)",70070,70070,"exact",70070,70070],[1,15,"t","(7,2,2,1,1,1,1)",51975,51975,"exact",51975,51975],[1,15,"t","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[1,15,"t","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,15,"t","(6,6,3)",21450,21450,"exact",21450,21450],[1,15,"t","(6,6,2,1)",50050,50050,"exact",50050,50050],[1,15,"t","(6,6,1,1,1)",28028,28028,"exact",28028,28028],[1,15,"t","(6,5,4)",30030,30030,"exact",30030,30030],[1,15,"t","(6,5,3,1)",128700,128700,"exact",128700,128700],[1,15,"t","(6,5,2,2)",100100,100100,"exact",100100,100100],[1,15,"t","(6,5,2,1,1)",162162,162162,"exact",162162,162162],[1,15,"t","(6,5,1,1,1,1)",63700,63700,"exact",63700,63700],[1,15,"t","(6,4,4,1)",80080,80080,"exact",80080,80080],[1,15,"t","(6,4,3,2)",175175,175175,"exact",175175,175175],[1,15,"t","(6,4,3,1,1)",231660,231660,"exact",231660,231660],[1,15,"t","(6,4,2,2,1)",243243,243243,"exact",243243,243243],[1,15,"t","(6,4,2,1,1,1)",221130,221130,"exact",221130,221130],[1,15,"t","(6,4,1,1,1,1,1)",70070,70070,"exact",70070,70070],[1,15,"t","(6,3,3,3)",50050,50050,"exact",50050,50050],[1,15,"t","(6,3,3,2,1)",210210,210210,"exact",210210,210210],[1,15,"t","(6,3,3,1,1,1)",156000,156000,"exact",156000,156000],[1,15,"t","(6,3,2,2,2)",112112,112112,"exact",112112,112112],[1,15,"t","(6,3,2,2,1,1)",221130,221130,"exact",221130,221130],[1,15,"t","(6,3,2,1,1,1,1)",150150,150150,"exact",150150,150150],[1,15,"t","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[1,15,"t","(6,2,2,2,2,1)",63700,63700,"exact",63700,63700],[1,15,"t","(6,2,2,2,1,1,1)",75075,75075,"exact",75075,75075],[1,15,"t","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[1,15,"t","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[1,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[1,15,"t","(5,5,5)",6006,6006,"exact",6006,6006],[1,15,"t","(5,5,4,1)",54054,54054,"exact",54054,54054],[1,15,"t","(5,5,3,2)",96525,96525,"exact",96525,96525],[1,15,"t","(5,5,3,1,1)",126126,126126,"exact",126126,126126],[1,15,"t","(5,5,2,2,1)",125125,125125,"exact",125125,125125],[1,15,"t","(5,5,2,1,1,1)",112112,112112,"exact",112112,112112],[1,15,"t","(5,5,1,1,1,1,1)",34398,34398,"exact",34398,34398],[1,15,"t","(5,4,4,2)",81081,81081,"exact",81081,81081],[1,15,"t","(5,4,4,1,1)",100100,100100,"exact",100100,100100],[1,15,"t","(5,4,3,3)",75075,75075,"exact",75075,75075],[1,15,"t","(5,4,3,2,1)",292864,292864,"exact",292864,292864],[1,15,"t","(5,4,3,1,1,1)",210210,210210,"exact",210210,210210],[1,15,"t","(5,4,2,2,2)",125125,125125,"exact",125125,125125],[1,15,"t","(5,4,2,2,1,1)",243243,243243,"exact",243243,243243],[1,15,"t","(5,4,2,1,1,1,1)",159250,159250,"exact",159250,159250],[1,15,"t","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[1,15,"t","(5,3,3,3,1)",100100,100100,"exact",100100,100100],[1,15,"t","(5,3,3,2,2)",126126,126126,"exact",126126,126126],[1,15,"t","(5,3,3,2,1,1)",231660,231660,"exact",231660,231660],[1,15,"t","(5,3,3,1,1,1,1)",122850,122850,"exact",122850,122850],[1,15,"t","(5,3,2,2,2,1)",162162,162162,"exact",162162,162162],[1,15,"t","(5,3,2,2,1,1,1)",184275,184275,"exact",184275,184275],[1,15,"t","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[1,15,"t","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[1,15,"t","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[1,15,"t","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[1,15,"t","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[1,15,"t","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[1,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[1,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[1,15,"t","(4,4,4,3)",24024,24024,"exact",24024,24024],[1,15,"t","(4,4,4,2,1)",75075,75075,"exact",75075,75075],[1,15,"t","(4,4,4,1,1,1)",50050,50050,"exact",50050,50050],[1,15,"t","(4,4,3,3,1)",81081,81081,"exact",81081,81081],[1,15,"t","(4,4,3,2,2)",96525,96525,"exact",96525,96525],[1,15,"t","(4,4,3,2,1,1)",175175,175175,"exact",175175,175175],[1,15,"t","(4,4,3,1,1,1,1)",90090,90090,"exact",90090,90090],[1,15,"t","(4,4,2,2,2,1)",100100,100100,"exact",100100,100100],[1,15,"t","(4,4,2,2,1,1,1)",112112,112112,"exact",112112,112112],[1,15,"t","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[1,15,"t","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[1,15,"t","(4,3,3,3,2)",54054,54054,"exact",54054,54054],[1,15,"t","(4,3,3,3,1,1)",80080,80080,"exact",80080,80080],[1,15,"t","(4,3,3,2,2,1)",128700,128700,"exact",128700,128700],[1,15,"t","(4,3,3,2,1,1,1)",135135,135135,"exact",135135,135135],[1,15,"t","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[1,15,"t","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[1,15,"t","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[1,15,"t","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[1,15,"t","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[1,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[1,15,"t","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[1,15,"t","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[1,15,"t","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[1,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[1,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[1,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[1,15,"t","(3,3,3,3,3)",6006,6006,"exact",6006,6006],[1,15,"t","(3,3,3,3,2,1)",30030,30030,"exact",30030,30030],[1,15,"t","(3,3,3,3,1,1,1)",25025,25025,"exact",25025,25025],[1,15,"t","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[1,15,"t","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[1,15,"t","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[1,15,"t","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[1,15,"t","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[1,15,"t","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[1,15,"t","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[1,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[1,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[1,15,"t","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[1,15,"t","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[1,15,"t","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[1,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[1,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[1,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[1,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[1,15,"t","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[1,15,"t","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[1,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[1,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[1,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[1,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[1,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[1,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,16,"t","(16)",1,1,"exact",1,1],[1,16,"t","(15,1)",15,15,"exact",15,15],[1,16,"t","(14,2)",104,104,"exact",104,104],[1,16,"t","(14,1,1)",105,105,"exact",105,105],[1,16,"t","(13,3)",440,440,"exact",440,440],[1,16,"t","(13,2,1)",896,896,"exact",896,896],[1,16,"t","(13,1,1,1)",455,455,"exact",455,455],[1,16,"t","(12,4)",1260,1260,"exact",1260,1260],[1,16,"t","(12,3,1)",3900,3900,"exact",3900,3900],[1,16,"t","(12,2,2)",2640,2640,"exact",2640,2640],[1,16,"t","(12,2,1,1)",4004,4004,"exact",4004,4004],[1,16,"t","(12,1,1,1,1)",1365,1365,"exact",1365,1365],[1,16,"t","(11,5)",2548,2548,"exact",2548,2548],[1,16,"t","(11,4,1)",10752,10752,"exact",10752,10752],[1,16,"t","(11,3,2)",13860,13860,"exact",13860,13860],[1,16,"t","(11,3,1,1)",16848,16848,"exact",16848,16848],[1,16,"t","(11,2,2,1)",14300,14300,"exact",14300,14300],[1,16,"t","(11,2,1,1,1)",11648,11648,"exact",11648,11648],[1,16,"t","(11,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,16,"t","(10,6)",3640,3640,"exact",3640,3640],[1,16,"t","(10,5,1)",20020,20020,"exact",20020,20020],[1,16,"t","(10,4,2)",38220,38220,"exact",38220,38220],[1,16,"t","(10,4,1,1)",43120,43120,"exact",43120,43120],[1,16,"t","(10,3,3)",21840,21840,"exact",21840,21840],[1,16,"t","(10,3,2,1)",71680,71680,"exact",71680,71680],[1,16,"t","(10,3,1,1,1)",45760,45760,"exact",45760,45760],[1,16,"t","(10,2,2,2)",23100,23100,"exact",23100,23100],[1,16,"t","(10,2,2,1,1)",42120,42120,"exact",42120,42120],[1,16,"t","(10,2,1,1,1,1)",24024,24024,"exact",24024,24024],[1,16,"t","(10,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[1,16,"t","(9,7)",3432,3432,"exact",3432,3432],[1,16,"t","(9,6,1)",24960,24960,"exact",24960,24960],[1,16,"t","(9,5,2)",65520,65520,"exact",65520,65520],[1,16,"t","(9,5,1,1)",71500,71500,"exact",71500,71500],[1,16,"t","(9,4,3)",69888,69888,"exact",69888,69888],[1,16,"t","(9,4,2,1)",180180,180180,"exact",180180,180180],[1,16,"t","(9,4,1,1,1)",105600,105600,"exact",105600,105600],[1,16,"t","(9,3,3,1)",112112,112112,"exact",112112,112112],[1,16,"t","(9,3,2,2)",114660,114660,"exact",114660,114660],[1,16,"t","(9,3,2,1,1)",194040,194040,"exact",194040,194040],[1,16,"t","(9,3,1,1,1,1)",85800,85800,"exact",85800,85800],[1,16,"t","(9,2,2,2,1)",80640,80640,"exact",80640,80640],[1,16,"t","(9,2,2,1,1,1)",82368,82368,"exact",82368,82368],[1,16,"t","(9,2,1,1,1,1,1)",36608,36608,"exact",36608,36608],[1,16,"t","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[1,16,"t","(8,8)",1430,1430,"exact",1430,1430],[1,16,"t","(8,7,1)",18018,18018,"exact",18018,18018],[1,16,"t","(8,6,2)",68640,68640,"exact",68640,68640],[1,16,"t","(8,6,1,1)",73710,73710,"exact",73710,73710],[1,16,"t","(8,5,3)",112112,112112,"exact",112112,112112],[1,16,"t","(8,5,2,1)",266240,266240,"exact",266240,266240],[1,16,"t","(8,5,1,1,1)",150150,150150,"exact",150150,150150],[1,16,"t","(8,4,4)",60060,60060,"exact",60060,60060],[1,16,"t","(8,4,3,1)",318500,318500,"exact",318500,318500],[1,16,"t","(8,4,2,2)",262080,262080,"exact",262080,262080],[1,16,"t","(8,4,2,1,1)",429000,429000,"exact",429000,429000],[1,16,"t","(8,4,1,1,1,1)",173250,173250,"exact",173250,173250],[1,16,"t","(8,3,3,2)",206388,206388,"exact",206388,206388],[1,16,"t","(8,3,3,1,1)",280280,280280,"exact",280280,280280],[1,16,"t","(8,3,2,2,1)",360360,360360,"exact",360360,360360],[1,16,"t","(8,3,2,1,1,1)",337920,337920,"exact",337920,337920],[1,16,"t","(8,3,1,1,1,1,1)",115830,115830,"exact",115830,115830],[1,16,"t","(8,2,2,2,2)",76440,76440,"exact",76440,76440],[1,16,"t","(8,2,2,2,1,1)",155232,155232,"exact",155232,155232],[1,16,"t","(8,2,2,1,1,1,1)",114400,114400,"exact",114400,114400],[1,16,"t","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[1,16,"t","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[1,16,"t","(7,7,2)",30030,30030,"exact",30030,30030],[1,16,"t","(7,7,1,1)",32032,32032,"exact",32032,32032],[1,16,"t","(7,6,3)",91520,91520,"exact",91520,91520],[1,16,"t","(7,6,2,1)",210210,210210,"exact",210210,210210],[1,16,"t","(7,6,1,1,1)",116480,116480,"exact",116480,116480],[1,16,"t","(7,5,4)",100100,100100,"exact",100100,100100],[1,16,"t","(7,5,3,1)",416988,416988,"exact",416988,416988],[1,16,"t","(7,5,2,2)",320320,320320,"exact",320320,320320],[1,16,"t","(7,5,2,1,1)",515970,515970,"exact",515970,515970],[1,16,"t","(7,5,1,1,1,1)",200200,200200,"exact",200200,200200],[1,16,"t","(7,4,4,1)",240240,240240,"exact",240240,240240],[1,16,"t","(7,4,3,2)",512512,512512,"exact",512512,512512],[1,16,"t","(7,4,3,1,1)",673920,673920,"exact",673920,673920],[1,16,"t","(7,4,2,2,1)",698880,698880,"exact",698880,698880],[1,16,"t","(7,4,2,1,1,1)",630630,630630,"exact",630630,630630],[1,16,"t","(7,4,1,1,1,1,1)",197120,197120,"exact",197120,197120],[1,16,"t","(7,3,3,3)",140140,140140,"exact",140140,140140],[1,16,"t","(7,3,3,2,1)",582400,582400,"exact",582400,582400],[1,16,"t","(7,3,3,1,1,1)",429000,429000,"exact",429000,429000],[1,16,"t","(7,3,2,2,2)",305760,305760,"exact",305760,305760],[1,16,"t","(7,3,2,2,1,1)",600600,600600,"exact",600600,600600],[1,16,"t","(7,3,2,1,1,1,1)",404250,404250,"exact",404250,404250],[1,16,"t","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[1,16,"t","(7,2,2,2,2,1)",168168,168168,"exact",168168,168168],[1,16,"t","(7,2,2,2,1,1,1)",197120,197120,"exact",197120,197120],[1,16,"t","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[1,16,"t","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[1,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[1,16,"t","(6,6,4)",51480,51480,"exact",51480,51480],[1,16,"t","(6,6,3,1)",200200,200200,"exact",200200,200200],[1,16,"t","(6,6,2,2)",150150,150150,"exact",150150,150150],[1,16,"t","(6,6,2,1,1)",240240,240240,"exact",240240,240240],[1,16,"t","(6,6,1,1,1,1)",91728,91728,"exact",91728,91728],[1,16,"t","(6,5,5)",36036,36036,"exact",36036,36036],[1,16,"t","(6,5,4,1)",292864,292864,"exact",292864,292864],[1,16,"t","(6,5,3,2)",500500,500500,"exact",500500,500500],[1,16,"t","(6,5,3,1,1)",648648,648648,"exact",648648,648648],[1,16,"t","(6,5,2,2,1)",630630,630630,"exact",630630,630630],[1,16,"t","(6,5,2,1,1,1)",559104,559104,"exact",559104,559104],[1,16,"t","(6,5,1,1,1,1,1)",168168,168168,"exact",168168,168168],[1,16,"t","(6,4,4,2)",336336,336336,"exact",336336,336336],[1,16,"t","(6,4,4,1,1)",411840,411840,"exact",411840,411840],[1,16,"t","(6,4,3,3)",300300,300300,"exact",300300,300300],[1,16,"t","(6,4,3,2,1)",1153152,1153152,"exact",1153152,1153152],[1,16,"t","(6,4,3,1,1,1)",819000,819000,"exact",819000,819000],[1,16,"t","(6,4,2,2,2)",480480,480480,"exact",480480,480480],[1,16,"t","(6,4,2,2,1,1)",928746,928746,"exact",928746,928746],[1,16,"t","(6,4,2,1,1,1,1)",600600,600600,"exact",600600,600600],[1,16,"t","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[1,16,"t","(6,3,3,3,1)",360360,360360,"exact",360360,360360],[1,16,"t","(6,3,3,2,2)",448448,448448,"exact",448448,448448],[1,16,"t","(6,3,3,2,1,1)",819000,819000,"exact",819000,819000],[1,16,"t","(6,3,3,1,1,1,1)",429000,429000,"exact",429000,429000],[1,16,"t","(6,3,2,2,2,1)",559104,559104,"exact",559104,559104],[1,16,"t","(6,3,2,2,1,1,1)",630630,630630,"exact",630630,630630],[1,16,"t","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[1,16,"t","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[1,16,"t","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[1,16,"t","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[1,16,"t","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[1,16,"t","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[1,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[1,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,16,"t","(5,5,5,1)",60060,60060,"exact",60060,60060],[1,16,"t","(5,5,4,2)",231660,231660,"exact",231660,231660],[1,16,"t","(5,5,4,1,1)",280280,280280,"exact",280280,280280],[1,16,"t","(5,5,3,3)",171600,171600,"exact",171600,171600],[1,16,"t","(5,5,3,2,1)",640640,640640,"exact",640640,640640],[1,16,"t","(5,5,3,1,1,1)",448448,448448,"exact",448448,448448],[1,16,"t","(5,5,2,2,2)",250250,250250,"exact",250250,250250],[1,16,"t","(5,5,2,2,1,1)",480480,480480,"exact",480480,480480],[1,16,"t","(5,5,2,1,1,1,1)",305760,305760,"exact",305760,305760],[1,16,"t","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[1,16,"t","(5,4,4,3)",180180,180180,"exact",180180,180180],[1,16,"t","(5,4,4,2,1)",549120,549120,"exact",549120,549120],[1,16,"t","(5,4,4,1,1,1)",360360,360360,"exact",360360,360360],[1,16,"t","(5,4,3,3,1)",549120,549120,"exact",549120,549120],[1,16,"t","(5,4,3,2,2)",640640,640640,"exact",640640,640640],[1,16,"t","(5,4,3,2,1,1)",1153152,1153152,"exact",1153152,1153152],[1,16,"t","(5,4,3,1,1,1,1)",582400,582400,"exact",582400,582400],[1,16,"t","(5,4,2,2,2,1)",630630,630630,"exact",630630,630630],[1,16,"t","(5,4,2,2,1,1,1)",698880,698880,"exact",698880,698880],[1,16,"t","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[1,16,"t","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[1,16,"t","(5,3,3,3,2)",280280,280280,"exact",280280,280280],[1,16,"t","(5,3,3,3,1,1)",411840,411840,"exact",411840,411840],[1,16,"t","(5,3,3,2,2,1)",648648,648648,"exact",648648,648648],[1,16,"t","(5,3,3,2,1,1,1)",673920,673920,"exact",673920,673920],[1,16,"t","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[1,16,"t","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[1,16,"t","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[1,16,"t","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[1,16,"t","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[1,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[1,16,"t","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[1,16,"t","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[1,16,"t","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[1,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[1,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[1,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[1,16,"t","(4,4,4,4)",24024,24024,"exact",24024,24024],[1,16,"t","(4,4,4,3,1)",180180,180180,"exact",180180,180180],[1,16,"t","(4,4,4,2,2)",171600,171600,"exact",171600,171600],[1,16,"t","(4,4,4,2,1,1)",300300,300300,"exact",300300,300300],[1,16,"t","(4,4,4,1,1,1,1)",140140,140140,"exact",140140,140140],[1,16,"t","(4,4,3,3,2)",231660,231660,"exact",231660,231660],[1,16,"t","(4,4,3,3,1,1)",336336,336336,"exact",336336,336336],[1,16,"t","(4,4,3,2,2,1)",500500,500500,"exact",500500,500500],[1,16,"t","(4,4,3,2,1,1,1)",512512,512512,"exact",512512,512512],[1,16,"t","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[1,16,"t","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[1,16,"t","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[1,16,"t","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[1,16,"t","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[1,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[1,16,"t","(4,3,3,3,3)",60060,60060,"exact",60060,60060],[1,16,"t","(4,3,3,3,2,1)",292864,292864,"exact",292864,292864],[1,16,"t","(4,3,3,3,1,1,1)",240240,240240,"exact",240240,240240],[1,16,"t","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[1,16,"t","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[1,16,"t","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[1,16,"t","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[1,16,"t","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[1,16,"t","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[1,16,"t","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[1,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[1,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[1,16,"t","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[1,16,"t","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[1,16,"t","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[1,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[1,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[1,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[1,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[1,16,"t","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[1,16,"t","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[1,16,"t","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[1,16,"t","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[1,16,"t","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[1,16,"t","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[1,16,"t","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[1,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[1,16,"t","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[1,16,"t","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[1,16,"t","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[1,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[1,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[1,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[1,16,"t","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[1,16,"t","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[1,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[1,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[1,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[1,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[1,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[1,16,"t","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[1,16,"t","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[1,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[1,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[1,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[1,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[1,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[1,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[1,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,17,"t","(17)",1,1,"exact",1,1],[1,17,"t","(16,1)",16,16,"exact",16,16],[1,17,"t","(15,2)",119,119,"exact",119,119],[1,17,"t","(15,1,1)",120,120,"exact",120,120],[1,17,"t","(14,3)",544,544,"exact",544,544],[1,17,"t","(14,2,1)",1105,1105,"exact",1105,1105],[1,17,"t","(14,1,1,1)",560,560,"exact",560,560],[1,17,"t","(13,4)",1700,1700,"exact",1700,1700],[1,17,"t","(13,3,1)",5236,5236,"exact",5236,5236],[1,17,"t","(13,2,2)",3536,3536,"exact",3536,3536],[1,17,"t","(13,2,1,1)",5355,5355,"exact",5355,5355],[1,17,"t","(13,1,1,1,1)",1820,1820,"exact",1820,1820],[1,17,"t","(12,5)",3808,3808,"exact",3808,3808],[1,17,"t","(12,4,1)",15912,15912,"exact",15912,15912],[1,17,"t","(12,3,2)",20400,20400,"exact",20400,20400],[1,17,"t","(12,3,1,1)",24752,24752,"exact",24752,24752],[1,17,"t","(12,2,2,1)",20944,20944,"exact",20944,20944],[1,17,"t","(12,2,1,1,1)",17017,17017,"exact",17017,17017],[1,17,"t","(12,1,1,1,1,1)",4368,4368,"exact",4368,4368],[1,17,"t","(11,6)",6188,6188,"exact",6188,6188],[1,17,"t","(11,5,1)",33320,33320,"exact",33320,33320],[1,17,"t","(11,4,2)",62832,62832,"exact",62832,62832],[1,17,"t","(11,4,1,1)",70720,70720,"exact",70720,70720],[1,17,"t","(11,3,3)",35700,35700,"exact",35700,35700],[1,17,"t","(11,3,2,1)",116688,116688,"exact",116688,116688],[1,17,"t","(11,3,1,1,1)",74256,74256,"exact",74256,74256],[1,17,"t","(11,2,2,2)",37400,37400,"exact",37400,37400],[1,17,"t","(11,2,2,1,1)",68068,68068,"exact",68068,68068],[1,17,"t","(11,2,1,1,1,1)",38675,38675,"exact",38675,38675],[1,17,"t","(11,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[1,17,"t","(10,7)",7072,7072,"exact",7072,7072],[1,17,"t","(10,6,1)",48620,48620,"exact",48620,48620],[1,17,"t","(10,5,2)",123760,123760,"exact",123760,123760],[1,17,"t","(10,5,1,1)",134640,134640,"exact",134640,134640],[1,17,"t","(10,4,3)",129948,129948,"exact",129948,129948],[1,17,"t","(10,4,2,1)",333200,333200,"exact",333200,333200],[1,17,"t","(10,4,1,1,1)",194480,194480,"exact",194480,194480],[1,17,"t","(10,3,3,1)",205632,205632,"exact",205632,205632],[1,17,"t","(10,3,2,2)",209440,209440,"exact",209440,209440],[1,17,"t","(10,3,2,1,1)",353600,353600,"exact",353600,353600],[1,17,"t","(10,3,1,1,1,1)",155584,155584,"exact",155584,155584],[1,17,"t","(10,2,2,2,1)",145860,145860,"exact",145860,145860],[1,17,"t","(10,2,2,1,1,1)",148512,148512,"exact",148512,148512],[1,17,"t","(10,2,1,1,1,1,1)",65637,65637,"exact",65637,65637],[1,17,"t","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[1,17,"t","(9,8)",4862,4862,"exact",4862,4862],[1,17,"t","(9,7,1)",46410,46410,"exact",46410,46410],[1,17,"t","(9,6,2)",159120,159120,"exact",159120,159120],[1,17,"t","(9,6,1,1)",170170,170170,"exact",170170,170170],[1,17,"t","(9,5,3)",247520,247520,"exact",247520,247520],[1,17,"t","(9,5,2,1)",583440,583440,"exact",583440,583440],[1,17,"t","(9,5,1,1,1)",327250,327250,"exact",327250,327250],[1,17,"t","(9,4,4)",129948,129948,"exact",129948,129948],[1,17,"t","(9,4,3,1)",680680,680680,"exact",680680,680680],[1,17,"t","(9,4,2,2)",556920,556920,"exact",556920,556920],[1,17,"t","(9,4,2,1,1)",908820,908820,"exact",908820,908820],[1,17,"t","(9,4,1,1,1,1)",364650,364650,"exact",364650,364650],[1,17,"t","(9,3,3,2)",433160,433160,"exact",433160,433160],[1,17,"t","(9,3,3,1,1)",586432,586432,"exact",586432,586432],[1,17,"t","(9,3,2,2,1)",749700,749700,"exact",749700,749700],[1,17,"t","(9,3,2,1,1,1)",700128,700128,"exact",700128,700128],[1,17,"t","(9,3,1,1,1,1,1)",238238,238238,"exact",238238,238238],[1,17,"t","(9,2,2,2,2)",157080,157080,"exact",157080,157080],[1,17,"t","(9,2,2,2,1,1)",318240,318240,"exact",318240,318240],[1,17,"t","(9,2,2,1,1,1,1)",233376,233376,"exact",233376,233376],[1,17,"t","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[1,17,"t","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[1,17,"t","(8,8,1)",19448,19448,"exact",19448,19448],[1,17,"t","(8,7,2)",116688,116688,"exact",116688,116688],[1,17,"t","(8,7,1,1)",123760,123760,"exact",123760,123760],[1,17,"t","(8,6,3)",272272,272272,"exact",272272,272272],[1,17,"t","(8,6,2,1)",618800,618800,"exact",618800,618800],[1,17,"t","(8,6,1,1,1)",340340,340340,"exact",340340,340340],[1,17,"t","(8,5,4)",272272,272272,"exact",272272,272272],[1,17,"t","(8,5,3,1)",1113840,1113840,"exact",1113840,1113840],[1,17,"t","(8,5,2,2)",848640,848640,"exact",848640,848640],[1,17,"t","(8,5,2,1,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(8,5,1,1,1,1)",523600,523600,"exact",523600,523600],[1,17,"t","(8,4,4,1)",618800,618800,"exact",618800,618800],[1,17,"t","(8,4,3,2)",1299480,1299480,"exact",1299480,1299480],[1,17,"t","(8,4,3,1,1)",1701700,1701700,"exact",1701700,1701700],[1,17,"t","(8,4,2,2,1)",1750320,1750320,"exact",1750320,1750320],[1,17,"t","(8,4,2,1,1,1)",1570800,1570800,"exact",1570800,1570800],[1,17,"t","(8,4,1,1,1,1,1)",486200,486200,"exact",486200,486200],[1,17,"t","(8,3,3,3)",346528,346528,"exact",346528,346528],[1,17,"t","(8,3,3,2,1)",1429428,1429428,"exact",1429428,1429428],[1,17,"t","(8,3,3,1,1,1)",1047200,1047200,"exact",1047200,1047200],[1,17,"t","(8,3,2,2,2)",742560,742560,"exact",742560,742560],[1,17,"t","(8,3,2,2,1,1)",1454112,1454112,"exact",1454112,1454112],[1,17,"t","(8,3,2,1,1,1,1)",972400,972400,"exact",972400,972400],[1,17,"t","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[1,17,"t","(8,2,2,2,2,1)",399840,399840,"exact",399840,399840],[1,17,"t","(8,2,2,2,1,1,1)",466752,466752,"exact",466752,466752],[1,17,"t","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[1,17,"t","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[1,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[1,17,"t","(7,7,3)",121550,121550,"exact",121550,121550],[1,17,"t","(7,7,2,1)",272272,272272,"exact",272272,272272],[1,17,"t","(7,7,1,1,1)",148512,148512,"exact",148512,148512],[1,17,"t","(7,6,4)",243100,243100,"exact",243100,243100],[1,17,"t","(7,6,3,1)",918918,918918,"exact",918918,918918],[1,17,"t","(7,6,2,2)",680680,680680,"exact",680680,680680],[1,17,"t","(7,6,2,1,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"t","(7,6,1,1,1,1)",408408,408408,"exact",408408,408408],[1,17,"t","(7,5,5)",136136,136136,"exact",136136,136136],[1,17,"t","(7,5,4,1)",1050192,1050192,"exact",1050192,1050192],[1,17,"t","(7,5,3,2)",1750320,1750320,"exact",1750320,1750320],[1,17,"t","(7,5,3,1,1)",2255526,2255526,"exact",2255526,2255526],[1,17,"t","(7,5,2,2,1)",2165800,2165800,"exact",2165800,2165800],[1,17,"t","(7,5,2,1,1,1)",1905904,1905904,"exact",1905904,1905904],[1,17,"t","(7,5,1,1,1,1,1)",565488,565488,"exact",565488,565488],[1,17,"t","(7,4,4,2)",1089088,1089088,"exact",1089088,1089088],[1,17,"t","(7,4,4,1,1)",1326000,1326000,"exact",1326000,1326000],[1,17,"t","(7,4,3,3)",952952,952952,"exact",952952,952952],[1,17,"t","(7,4,3,2,1)",3620864,3620864,"exact",3620864,3620864],[1,17,"t","(7,4,3,1,1,1)",2552550,2552550,"exact",2552550,2552550],[1,17,"t","(7,4,2,2,2)",1485120,1485120,"exact",1485120,1485120],[1,17,"t","(7,4,2,2,1,1)",2858856,2858856,"exact",2858856,2858856],[1,17,"t","(7,4,2,1,1,1,1)",1832600,1832600,"exact",1832600,1832600],[1,17,"t","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[1,17,"t","(7,3,3,3,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"t","(7,3,3,2,2)",1336608,1336608,"exact",1336608,1336608],[1,17,"t","(7,3,3,2,1,1)",2431000,2431000,"exact",2431000,2431000],[1,17,"t","(7,3,3,1,1,1,1)",1262250,1262250,"exact",1262250,1262250],[1,17,"t","(7,3,2,2,2,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"t","(7,3,2,2,1,1,1)",1832600,1832600,"exact",1832600,1832600],[1,17,"t","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[1,17,"t","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[1,17,"t","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[1,17,"t","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[1,17,"t","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[1,17,"t","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[1,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[1,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[1,17,"t","(6,6,5)",87516,87516,"exact",87516,87516],[1,17,"t","(6,6,4,1)",544544,544544,"exact",544544,544544],[1,17,"t","(6,6,3,2)",850850,850850,"exact",850850,850850],[1,17,"t","(6,6,3,1,1)",1089088,1089088,"exact",1089088,1089088],[1,17,"t","(6,6,2,2,1)",1021020,1021020,"exact",1021020,1021020],[1,17,"t","(6,6,2,1,1,1)",891072,891072,"exact",891072,891072],[1,17,"t","(6,6,1,1,1,1,1)",259896,259896,"exact",259896,259896],[1,17,"t","(6,5,5,1)",388960,388960,"exact",388960,388960],[1,17,"t","(6,5,4,2)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(6,5,4,1,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"t","(6,5,3,3)",972400,972400,"exact",972400,972400],[1,17,"t","(6,5,3,2,1)",3573570,3573570,"exact",3573570,3573570],[1,17,"t","(6,5,3,1,1,1)",2475200,2475200,"exact",2475200,2475200],[1,17,"t","(6,5,2,2,2)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(6,5,2,2,1,1)",2598960,2598960,"exact",2598960,2598960],[1,17,"t","(6,5,2,1,1,1,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"t","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[1,17,"t","(6,4,4,3)",816816,816816,"exact",816816,816816],[1,17,"t","(6,4,4,2,1)",2450448,2450448,"exact",2450448,2450448],[1,17,"t","(6,4,4,1,1,1)",1591200,1591200,"exact",1591200,1591200],[1,17,"t","(6,4,3,3,1)",2362932,2362932,"exact",2362932,2362932],[1,17,"t","(6,4,3,2,2)",2722720,2722720,"exact",2722720,2722720],[1,17,"t","(6,4,3,2,1,1)",4873050,4873050,"exact",4873050,4873050],[1,17,"t","(6,4,3,1,1,1,1)",2431000,2431000,"exact",2431000,2431000],[1,17,"t","(6,4,2,2,2,1)",2598960,2598960,"exact",2598960,2598960],[1,17,"t","(6,4,2,2,1,1,1)",2858856,2858856,"exact",2858856,2858856],[1,17,"t","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[1,17,"t","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[1,17,"t","(6,3,3,3,2)",1089088,1089088,"exact",1089088,1089088],[1,17,"t","(6,3,3,3,1,1)",1591200,1591200,"exact",1591200,1591200],[1,17,"t","(6,3,3,2,2,1)",2475200,2475200,"exact",2475200,2475200],[1,17,"t","(6,3,3,2,1,1,1)",2552550,2552550,"exact",2552550,2552550],[1,17,"t","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[1,17,"t","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[1,17,"t","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[1,17,"t","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[1,17,"t","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[1,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[1,17,"t","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[1,17,"t","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[1,17,"t","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[1,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[1,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[1,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[1,17,"t","(5,5,5,2)",291720,291720,"exact",291720,291720],[1,17,"t","(5,5,5,1,1)",340340,340340,"exact",340340,340340],[1,17,"t","(5,5,4,3)",583440,583440,"exact",583440,583440],[1,17,"t","(5,5,4,2,1)",1701700,1701700,"exact",1701700,1701700],[1,17,"t","(5,5,4,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,17,"t","(5,5,3,3,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(5,5,3,2,2)",1531530,1531530,"exact",1531530,1531530],[1,17,"t","(5,5,3,2,1,1)",2722720,2722720,"exact",2722720,2722720],[1,17,"t","(5,5,3,1,1,1,1)",1336608,1336608,"exact",1336608,1336608],[1,17,"t","(5,5,2,2,2,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(5,5,2,2,1,1,1)",1485120,1485120,"exact",1485120,1485120],[1,17,"t","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[1,17,"t","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[1,17,"t","(5,4,4,4)",204204,204204,"exact",204204,204204],[1,17,"t","(5,4,4,3,1)",1458600,1458600,"exact",1458600,1458600],[1,17,"t","(5,4,4,2,2)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(5,4,4,2,1,1)",2362932,2362932,"exact",2362932,2362932],[1,17,"t","(5,4,4,1,1,1,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"t","(5,4,3,3,2)",1701700,1701700,"exact",1701700,1701700],[1,17,"t","(5,4,3,3,1,1)",2450448,2450448,"exact",2450448,2450448],[1,17,"t","(5,4,3,2,2,1)",3573570,3573570,"exact",3573570,3573570],[1,17,"t","(5,4,3,2,1,1,1)",3620864,3620864,"exact",3620864,3620864],[1,17,"t","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[1,17,"t","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[1,17,"t","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[1,17,"t","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[1,17,"t","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[1,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[1,17,"t","(5,3,3,3,3)",340340,340340,"exact",340340,340340],[1,17,"t","(5,3,3,3,2,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"t","(5,3,3,3,1,1,1)",1326000,1326000,"exact",1326000,1326000],[1,17,"t","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[1,17,"t","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[1,17,"t","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[1,17,"t","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[1,17,"t","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"t","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[1,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[1,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[1,17,"t","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[1,17,"t","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[1,17,"t","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[1,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[1,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[1,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[1,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[1,17,"t","(4,4,4,4,1)",204204,204204,"exact",204204,204204],[1,17,"t","(4,4,4,3,2)",583440,583440,"exact",583440,583440],[1,17,"t","(4,4,4,3,1,1)",816816,816816,"exact",816816,816816],[1,17,"t","(4,4,4,2,2,1)",972400,972400,"exact",972400,972400],[1,17,"t","(4,4,4,2,1,1,1)",952952,952952,"exact",952952,952952],[1,17,"t","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[1,17,"t","(4,4,3,3,3)",291720,291720,"exact",291720,291720],[1,17,"t","(4,4,3,3,2,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"t","(4,4,3,3,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,17,"t","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[1,17,"t","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[1,17,"t","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[1,17,"t","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[1,17,"t","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[1,17,"t","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[1,17,"t","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[1,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[1,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[1,17,"t","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[1,17,"t","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[1,17,"t","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[1,17,"t","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[1,17,"t","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[1,17,"t","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[1,17,"t","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[1,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[1,17,"t","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[1,17,"t","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[1,17,"t","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[1,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[1,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[1,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[1,17,"t","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[1,17,"t","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[1,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[1,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[1,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[1,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[1,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[1,17,"t","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[1,17,"t","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[1,17,"t","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[1,17,"t","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[1,17,"t","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[1,17,"t","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[1,17,"t","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[1,17,"t","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[1,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[1,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[1,17,"t","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[1,17,"t","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[1,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[1,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[1,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[1,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[1,17,"t","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[1,17,"t","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[1,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[1,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[1,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[1,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[1,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[1,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[1,17,"t","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[1,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[1,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[1,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[1,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[1,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[1,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[1,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[1,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,18,"t","(18)",1,1,"exact",1,1],[1,18,"t","(17,1)",17,17,"exact",17,17],[1,18,"t","(16,2)",135,135,"exact",135,135],[1,18,"t","(16,1,1)",136,136,"exact",136,136],[1,18,"t","(15,3)",663,663,"exact",663,663],[1,18,"t","(15,2,1)",1344,1344,"exact",1344,1344],[1,18,"t","(15,1,1,1)",680,680,"exact",680,680],[1,18,"t","(14,4)",2244,2244,"exact",2244,2244],[1,18,"t","(14,3,1)",6885,6885,"exact",6885,6885],[1,18,"t","(14,2,2)",4641,4641,"exact",4641,4641],[1,18,"t","(14,2,1,1)",7020,7020,"exact",7020,7020],[1,18,"t","(14,1,1,1,1)",2380,2380,"exact",2380,2380],[1,18,"t","(13,5)",5508,5508,"exact",5508,5508],[1,18,"t","(13,4,1)",22848,22848,"exact",22848,22848],[1,18,"t","(13,3,2)",29172,29172,"exact",29172,29172],[1,18,"t","(13,3,1,1)",35343,35343,"exact",35343,35343],[1,18,"t","(13,2,2,1)",29835,29835,"exact",29835,29835],[1,18,"t","(13,2,1,1,1)",24192,24192,"exact",24192,24192],[1,18,"t","(13,1,1,1,1,1)",6188,6188,"exact",6188,6188],[1,18,"t","(12,6)",9996,9996,"exact",9996,9996],[1,18,"t","(12,5,1)",53040,53040,"exact",53040,53040],[1,18,"t","(12,4,2)",99144,99144,"exact",99144,99144],[1,18,"t","(12,4,1,1)",111384,111384,"exact",111384,111384],[1,18,"t","(12,3,3)",56100,56100,"exact",56100,56100],[1,18,"t","(12,3,2,1)",182784,182784,"exact",182784,182784],[1,18,"t","(12,3,1,1,1)",116025,116025,"exact",116025,116025],[1,18,"t","(12,2,2,2)",58344,58344,"exact",58344,58344],[1,18,"t","(12,2,2,1,1)",106029,106029,"exact",106029,106029],[1,18,"t","(12,2,1,1,1,1)",60060,60060,"exact",60060,60060],[1,18,"t","(12,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[1,18,"t","(11,7)",13260,13260,"exact",13260,13260],[1,18,"t","(11,6,1)",88128,88128,"exact",88128,88128],[1,18,"t","(11,5,2)",219912,219912,"exact",219912,219912],[1,18,"t","(11,5,1,1)",238680,238680,"exact",238680,238680],[1,18,"t","(11,4,3)",228480,228480,"exact",228480,228480],[1,18,"t","(11,4,2,1)",583440,583440,"exact",583440,583440],[1,18,"t","(11,4,1,1,1)",339456,339456,"exact",339456,339456],[1,18,"t","(11,3,3,1)",358020,358020,"exact",358020,358020],[1,18,"t","(11,3,2,2)",363528,363528,"exact",363528,363528],[1,18,"t","(11,3,2,1,1)",612612,612612,"exact",612612,612612],[1,18,"t","(11,3,1,1,1,1)",268515,268515,"exact",268515,268515],[1,18,"t","(11,2,2,2,1)",251328,251328,"exact",251328,251328],[1,18,"t","(11,2,2,1,1,1)",255255,255255,"exact",255255,255255],[1,18,"t","(11,2,1,1,1,1,1)",112320,112320,"exact",112320,112320],[1,18,"t","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[1,18,"t","(10,8)",11934,11934,"exact",11934,11934],[1,18,"t","(10,7,1)",102102,102102,"exact",102102,102102],[1,18,"t","(10,6,2)",331500,331500,"exact",331500,331500],[1,18,"t","(10,6,1,1)",353430,353430,"exact",353430,353430],[1,18,"t","(10,5,3)",501228,501228,"exact",501228,501228],[1,18,"t","(10,5,2,1)",1175040,1175040,"exact",1175040,1175040],[1,18,"t","(10,5,1,1,1)",656370,656370,"exact",656370,656370],[1,18,"t","(10,4,4)",259896,259896,"exact",259896,259896],[1,18,"t","(10,4,3,1)",1349460,1349460,"exact",1349460,1349460],[1,18,"t","(10,4,2,2)",1099560,1099560,"exact",1099560,1099560],[1,18,"t","(10,4,2,1,1)",1790100,1790100,"exact",1790100,1790100],[1,18,"t","(10,4,1,1,1,1)",714714,714714,"exact",714714,714714],[1,18,"t","(10,3,3,2)",848232,848232,"exact",848232,848232],[1,18,"t","(10,3,3,1,1)",1145664,1145664,"exact",1145664,1145664],[1,18,"t","(10,3,2,2,1)",1458600,1458600,"exact",1458600,1458600],[1,18,"t","(10,3,2,1,1,1)",1357824,1357824,"exact",1357824,1357824],[1,18,"t","(10,3,1,1,1,1,1)",459459,459459,"exact",459459,459459],[1,18,"t","(10,2,2,2,2)",302940,302940,"exact",302940,302940],[1,18,"t","(10,2,2,2,1,1)",612612,612612,"exact",612612,612612],[1,18,"t","(10,2,2,1,1,1,1)",447525,447525,"exact",447525,447525],[1,18,"t","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[1,18,"t","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[1,18,"t","(9,9)",4862,4862,"exact",4862,4862],[1,18,"t","(9,8,1)",70720,70720,"exact",70720,70720],[1,18,"t","(9,7,2)",322218,322218,"exact",322218,322218],[1,18,"t","(9,7,1,1)",340340,340340,"exact",340340,340340],[1,18,"t","(9,6,3)",678912,678912,"exact",678912,678912],[1,18,"t","(9,6,2,1)",1531530,1531530,"exact",1531530,1531530],[1,18,"t","(9,6,1,1,1)",837760,837760,"exact",837760,837760],[1,18,"t","(9,5,4)",649740,649740,"exact",649740,649740],[1,18,"t","(9,5,3,1)",2625480,2625480,"exact",2625480,2625480],[1,18,"t","(9,5,2,2)",1989000,1989000,"exact",1989000,1989000],[1,18,"t","(9,5,2,1,1)",3180870,3180870,"exact",3180870,3180870],[1,18,"t","(9,5,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[1,18,"t","(9,4,4,1)",1429428,1429428,"exact",1429428,1429428],[1,18,"t","(9,4,3,2)",2970240,2970240,"exact",2970240,2970240],[1,18,"t","(9,4,3,1,1)",3877632,3877632,"exact",3877632,3877632],[1,18,"t","(9,4,2,2,1)",3965760,3965760,"exact",3965760,3965760],[1,18,"t","(9,4,2,1,1,1)",3544398,3544398,"exact",3544398,3544398],[1,18,"t","(9,4,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,18,"t","(9,3,3,3)",779688,779688,"exact",779688,779688],[1,18,"t","(9,3,3,2,1)",3198720,3198720,"exact",3198720,3198720],[1,18,"t","(9,3,3,1,1,1)",2333760,2333760,"exact",2333760,2333760],[1,18,"t","(9,3,2,2,2)",1649340,1649340,"exact",1649340,1649340],[1,18,"t","(9,3,2,2,1,1)",3222180,3222180,"exact",3222180,3222180],[1,18,"t","(9,3,2,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[1,18,"t","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[1,18,"t","(9,2,2,2,2,1)",875160,875160,"exact",875160,875160],[1,18,"t","(9,2,2,2,1,1,1)",1018368,1018368,"exact",1018368,1018368],[1,18,"t","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[1,18,"t","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[1,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[1,18,"t","(8,8,2)",136136,136136,"exact",136136,136136],[1,18,"t","(8,8,1,1)",143208,143208,"exact",143208,143208],[1,18,"t","(8,7,3)",510510,510510,"exact",510510,510510],[1,18,"t","(8,7,2,1)",1131520,1131520,"exact",1131520,1131520],[1,18,"t","(8,7,1,1,1)",612612,612612,"exact",612612,612612],[1,18,"t","(8,6,4)",787644,787644,"exact",787644,787644],[1,18,"t","(8,6,3,1)",2923830,2923830,"exact",2923830,2923830],[1,18,"t","(8,6,2,2)",2148120,2148120,"exact",2148120,2148120],[1,18,"t","(8,6,2,1,1)",3403400,3403400,"exact",3403400,3403400],[1,18,"t","(8,6,1,1,1,1)",1272348,1272348,"exact",1272348,1272348],[1,18,"t","(8,5,5)",408408,408408,"exact",408408,408408],[1,18,"t","(8,5,4,1)",3055104,3055104,"exact",3055104,3055104],[1,18,"t","(8,5,3,2)",5012280,5012280,"exact",5012280,5012280],[1,18,"t","(8,5,3,1,1)",6432426,6432426,"exact",6432426,6432426],[1,18,"t","(8,5,2,2,1)",6126120,6126120,"exact",6126120,6126120],[1,18,"t","(8,5,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[1,18,"t","(8,5,1,1,1,1,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"t","(8,4,4,2)",3007368,3007368,"exact",3007368,3007368],[1,18,"t","(8,4,4,1,1)",3646500,3646500,"exact",3646500,3646500],[1,18,"t","(8,4,3,3)",2598960,2598960,"exact",2598960,2598960],[1,18,"t","(8,4,3,2,1)",9801792,9801792,"exact",9801792,9801792],[1,18,"t","(8,4,3,1,1,1)",6872250,6872250,"exact",6872250,6872250],[1,18,"t","(8,4,2,2,2)",3978000,3978000,"exact",3978000,3978000],[1,18,"t","(8,4,2,2,1,1)",7634088,7634088,"exact",7634088,7634088],[1,18,"t","(8,4,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[1,18,"t","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[1,18,"t","(8,3,3,3,1)",2858856,2858856,"exact",2858856,2858856],[1,18,"t","(8,3,3,2,2)",3508596,3508596,"exact",3508596,3508596],[1,18,"t","(8,3,3,2,1,1)",6361740,6361740,"exact",6361740,6361740],[1,18,"t","(8,3,3,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[1,18,"t","(8,3,2,2,2,1)",4230144,4230144,"exact",4230144,4230144],[1,18,"t","(8,3,2,2,1,1,1)",4725864,4725864,"exact",4725864,4725864],[1,18,"t","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[1,18,"t","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[1,18,"t","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[1,18,"t","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[1,18,"t","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[1,18,"t","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[1,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[1,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[1,18,"t","(7,7,4)",364650,364650,"exact",364650,364650],[1,18,"t","(7,7,3,1)",1312740,1312740,"exact",1312740,1312740],[1,18,"t","(7,7,2,2)",952952,952952,"exact",952952,952952],[1,18,"t","(7,7,2,1,1)",1503684,1503684,"exact",1503684,1503684],[1,18,"t","(7,7,1,1,1,1)",556920,556920,"exact",556920,556920],[1,18,"t","(7,6,5)",466752,466752,"exact",466752,466752],[1,18,"t","(7,6,4,1)",2756754,2756754,"exact",2756754,2756754],[1,18,"t","(7,6,3,2)",4200768,4200768,"exact",4200768,4200768],[1,18,"t","(7,6,3,1,1)",5346432,5346432,"exact",5346432,5346432],[1,18,"t","(7,6,2,2,1)",4950400,4950400,"exact",4950400,4950400],[1,18,"t","(7,6,2,1,1,1)",4288284,4288284,"exact",4288284,4288284],[1,18,"t","(7,6,1,1,1,1,1)",1233792,1233792,"exact",1233792,1233792],[1,18,"t","(7,5,5,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"t","(7,5,4,2)",5250960,5250960,"exact",5250960,5250960],[1,18,"t","(7,5,4,1,1)",6265350,6265350,"exact",6265350,6265350],[1,18,"t","(7,5,3,3)",3675672,3675672,"exact",3675672,3675672],[1,18,"t","(7,5,3,2,1)",13366080,13366080,"exact",13366080,13366080],[1,18,"t","(7,5,3,1,1,1)",9189180,9189180,"exact",9189180,9189180],[1,18,"t","(7,5,2,2,2)",5012280,5012280,"exact",5012280,5012280],[1,18,"t","(7,5,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[1,18,"t","(7,5,2,1,1,1,1)",5937624,5937624,"exact",5937624,5937624],[1,18,"t","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[1,18,"t","(7,4,4,3)",2858856,2858856,"exact",2858856,2858856],[1,18,"t","(7,4,4,2,1)",8486400,8486400,"exact",8486400,8486400],[1,18,"t","(7,4,4,1,1,1)",5469750,5469750,"exact",5469750,5469750],[1,18,"t","(7,4,3,3,1)",8019648,8019648,"exact",8019648,8019648],[1,18,"t","(7,4,3,2,2)",9165312,9165312,"exact",9165312,9165312],[1,18,"t","(7,4,3,2,1,1)",16336320,16336320,"exact",16336320,16336320],[1,18,"t","(7,4,3,1,1,1,1)",8078400,8078400,"exact",8078400,8078400],[1,18,"t","(7,4,2,2,2,1)",8576568,8576568,"exact",8576568,8576568],[1,18,"t","(7,4,2,2,1,1,1)",9382912,9382912,"exact",9382912,9382912],[1,18,"t","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[1,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[1,18,"t","(7,3,3,3,2)",3508596,3508596,"exact",3508596,3508596],[1,18,"t","(7,3,3,3,1,1)",5105100,5105100,"exact",5105100,5105100],[1,18,"t","(7,3,3,2,2,1)",7876440,7876440,"exact",7876440,7876440],[1,18,"t","(7,3,3,2,1,1,1)",8078400,8078400,"exact",8078400,8078400],[1,18,"t","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[1,18,"t","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[1,18,"t","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[1,18,"t","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[1,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[1,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[1,18,"t","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[1,18,"t","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[1,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[1,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[1,18,"t","(6,6,6)",87516,87516,"exact",87516,87516],[1,18,"t","(6,6,5,1)",1021020,1021020,"exact",1021020,1021020],[1,18,"t","(6,6,4,2)",2756754,2756754,"exact",2756754,2756754],[1,18,"t","(6,6,4,1,1)",3267264,3267264,"exact",3267264,3267264],[1,18,"t","(6,6,3,3)",1823250,1823250,"exact",1823250,1823250],[1,18,"t","(6,6,3,2,1)",6534528,6534528,"exact",6534528,6534528],[1,18,"t","(6,6,3,1,1,1)",4455360,4455360,"exact",4455360,4455360],[1,18,"t","(6,6,2,2,2)",2382380,2382380,"exact",2382380,2382380],[1,18,"t","(6,6,2,2,1,1)",4511052,4511052,"exact",4511052,4511052],[1,18,"t","(6,6,2,1,1,1,1)",2784600,2784600,"exact",2784600,2784600],[1,18,"t","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[1,18,"t","(6,5,5,2)",2042040,2042040,"exact",2042040,2042040],[1,18,"t","(6,5,5,1,1)",2362932,2362932,"exact",2362932,2362932],[1,18,"t","(6,5,4,3)",3734016,3734016,"exact",3734016,3734016],[1,18,"t","(6,5,4,2,1)",10720710,10720710,"exact",10720710,10720710],[1,18,"t","(6,5,4,1,1,1)",6789120,6789120,"exact",6789120,6789120],[1,18,"t","(6,5,3,3,1)",8270262,8270262,"exact",8270262,8270262],[1,18,"t","(6,5,3,2,2)",9189180,9189180,"exact",9189180,9189180],[1,18,"t","(6,5,3,2,1,1)",16243500,16243500,"exact",16243500,16243500],[1,18,"t","(6,5,3,1,1,1,1)",7876440,7876440,"exact",7876440,7876440],[1,18,"t","(6,5,2,2,2,1)",7920640,7920640,"exact",7920640,7920640],[1,18,"t","(6,5,2,2,1,1,1)",8576568,8576568,"exact",8576568,8576568],[1,18,"t","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[1,18,"t","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[1,18,"t","(6,4,4,4)",1021020,1021020,"exact",1021020,1021020],[1,18,"t","(6,4,4,3,1)",7088796,7088796,"exact",7088796,7088796],[1,18,"t","(6,4,4,2,2)",6534528,6534528,"exact",6534528,6534528],[1,18,"t","(6,4,4,2,1,1)",11277630,11277630,"exact",11277630,11277630],[1,18,"t","(6,4,4,1,1,1,1)",5105100,5105100,"exact",5105100,5105100],[1,18,"t","(6,4,3,3,2)",7876440,7876440,"exact",7876440,7876440],[1,18,"t","(6,4,3,3,1,1)",11277630,11277630,"exact",11277630,11277630],[1,18,"t","(6,4,3,2,2,1)",16243500,16243500,"exact",16243500,16243500],[1,18,"t","(6,4,3,2,1,1,1)",16336320,16336320,"exact",16336320,16336320],[1,18,"t","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[1,18,"t","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[1,18,"t","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[1,18,"t","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[1,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[1,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[1,18,"t","(6,3,3,3,3)",1429428,1429428,"exact",1429428,1429428],[1,18,"t","(6,3,3,3,2,1)",6789120,6789120,"exact",6789120,6789120],[1,18,"t","(6,3,3,3,1,1,1)",5469750,5469750,"exact",5469750,5469750],[1,18,"t","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[1,18,"t","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[1,18,"t","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[1,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[1,18,"t","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[1,18,"t","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[1,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[1,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[1,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[1,18,"t","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[1,18,"t","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[1,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[1,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[1,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[1,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[1,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[1,18,"t","(5,5,5,3)",875160,875160,"exact",875160,875160],[1,18,"t","(5,5,5,2,1)",2333760,2333760,"exact",2333760,2333760],[1,18,"t","(5,5,5,1,1,1)",1429428,1429428,"exact",1429428,1429428],[1,18,"t","(5,5,4,4)",787644,787644,"exact",787644,787644],[1,18,"t","(5,5,4,3,1)",5105100,5105100,"exact",5105100,5105100],[1,18,"t","(5,5,4,2,2)",4594590,4594590,"exact",4594590,4594590],[1,18,"t","(5,5,4,2,1,1)",7876440,7876440,"exact",7876440,7876440],[1,18,"t","(5,5,4,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[1,18,"t","(5,5,3,3,2)",4594590,4594590,"exact",4594590,4594590],[1,18,"t","(5,5,3,3,1,1)",6534528,6534528,"exact",6534528,6534528],[1,18,"t","(5,5,3,2,2,1)",9189180,9189180,"exact",9189180,9189180],[1,18,"t","(5,5,3,2,1,1,1)",9165312,9165312,"exact",9165312,9165312],[1,18,"t","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[1,18,"t","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[1,18,"t","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[1,18,"t","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[1,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[1,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[1,18,"t","(5,4,4,4,1)",1867008,1867008,"exact",1867008,1867008],[1,18,"t","(5,4,4,3,2)",5105100,5105100,"exact",5105100,5105100],[1,18,"t","(5,4,4,3,1,1)",7088796,7088796,"exact",7088796,7088796],[1,18,"t","(5,4,4,2,2,1)",8270262,8270262,"exact",8270262,8270262],[1,18,"t","(5,4,4,2,1,1,1)",8019648,8019648,"exact",8019648,8019648],[1,18,"t","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[1,18,"t","(5,4,3,3,3)",2333760,2333760,"exact",2333760,2333760],[1,18,"t","(5,4,3,3,2,1)",10720710,10720710,"exact",10720710,10720710],[1,18,"t","(5,4,3,3,1,1,1)",8486400,8486400,"exact",8486400,8486400],[1,18,"t","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[1,18,"t","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[1,18,"t","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[1,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[1,18,"t","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[1,18,"t","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[1,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[1,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[1,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[1,18,"t","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[1,18,"t","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[1,18,"t","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[1,18,"t","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[1,18,"t","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[1,18,"t","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[1,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[1,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[1,18,"t","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[1,18,"t","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[1,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[1,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[1,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[1,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[1,18,"t","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[1,18,"t","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[1,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[1,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[1,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[1,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[1,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[1,18,"t","(4,4,4,4,2)",787644,787644,"exact",787644,787644],[1,18,"t","(4,4,4,4,1,1)",1021020,1021020,"exact",1021020,1021020],[1,18,"t","(4,4,4,3,3)",875160,875160,"exact",875160,875160],[1,18,"t","(4,4,4,3,2,1)",3734016,3734016,"exact",3734016,3734016],[1,18,"t","(4,4,4,3,1,1,1)",2858856,2858856,"exact",2858856,2858856],[1,18,"t","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[1,18,"t","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[1,18,"t","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[1,18,"t","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[1,18,"t","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[1,18,"t","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[1,18,"t","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[1,18,"t","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[1,18,"t","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[1,18,"t","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[1,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[1,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[1,18,"t","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[1,18,"t","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[1,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[1,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[1,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[1,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[1,18,"t","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[1,18,"t","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"t","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[1,18,"t","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[1,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[1,18,"t","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[1,18,"t","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[1,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[1,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[1,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[1,18,"t","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[1,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[1,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[1,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[1,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[1,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[1,18,"t","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[1,18,"t","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[1,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[1,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[1,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[1,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[1,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[1,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[1,18,"t","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[1,18,"t","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[1,18,"t","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[1,18,"t","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[1,18,"t","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[1,18,"t","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[1,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[1,18,"t","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[1,18,"t","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[1,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[1,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[1,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[1,18,"t","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[1,18,"t","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[1,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[1,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[1,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[1,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[1,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[1,18,"t","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[1,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[1,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[1,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[1,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[1,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[1,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[1,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[1,18,"t","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[1,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[1,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[1,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[1,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[1,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[1,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[1,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[1,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[1,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,1,"u","(1)",1,0,"exact",0,0],[1,2,"u","(2)",1,0,"exact",0,0],[1,2,"u","(1,1)",1,1,"exact",1,1],[1,3,"u","(3)",1,0,"exact",0,0],[1,3,"u","(2,1)",2,2,"exact",2,2],[1,3,"u","(1,1,1)",1,1,"exact",1,1],[1,4,"u","(4)",1,0,"exact",0,0],[1,4,"u","(3,1)",3,3,"exact",3,3],[1,4,"u","(2,2)",2,2,"exact",2,2],[1,4,"u","(2,1,1)",3,3,"exact",3,3],[1,4,"u","(1,1,1,1)",1,1,"exact",1,1],[1,5,"u","(5)",1,0,"exact",0,0],[1,5,"u","(4,1)",4,4,"exact",4,4],[1,5,"u","(3,2)",5,5,"exact",5,5],[1,5,"u","(3,1,1)",6,6,"exact",6,6],[1,5,"u","(2,2,1)",5,5,"exact",5,5],[1,5,"u","(2,1,1,1)",4,4,"exact",4,4],[1,5,"u","(1,1,1,1,1)",1,1,"exact",1,1],[1,6,"u","(6)",1,0,"exact",0,0],[1,6,"u","(5,1)",5,5,"exact",5,5],[1,6,"u","(4,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"exact",3432,3432],[1,13,"u","(4,4,3,2)",8580,8580,"exact",8580,8580],[1,13,"u","(4,4,3,1,1)",11583,11583,"exact",11583,11583],[1,13,"u","(4,4,2,2,1)",12870,12870,"exact",12870,12870],[1,13,"u","(4,4,2,1,1,1)",12012,12012,"exact",12012,12012],[1,13,"u","(4,4,1,1,1,1,1)",4004,4004,"exact",4004,4004],[1,13,"u","(4,3,3,3)",3432,3432,"exact",3432,3432],[1,13,"u","(4,3,3,2,1)",15015,15015,"exact",15015,15015],[1,13,"u","(4,3,3,1,1,1)",11440,11440,"exact",11440,11440],[1,13,"u","(4,3,2,2,2)",8580,8580,"exact",8580,8580],[1,13,"u","(4,3,2,2,1,1)",17160,17160,"exact",17160,17160],[1,13,"u","(4,3,2,1,1,1,1)",12012,12012,"exact",12012,12012],[1,13,"u","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[1,13,"u","(4,2,2,2,2,1)",5720,5720,"exact",5720,5720],[1,13,"u","(4,2,2,2,1,1,1)",6864,6864,"exact",6864,6864],[1,13,"u","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[1,13,"u","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[1,13,"u","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[1,13,"u","(3,3,3,3,1)",2574,2574,"exact",2574,2574],[1,13,"u","(3,3,3,2,2)",3432,3432,"exact",3432,3432],[1,13,"u","(3,3,3,2,1,1)",6435,6435,"exact",6435,6435],[1,13,"u","(3,3,3,1,1,1,1)",3575,3575,"exact",3575,3575],[1,13,"u","(3,3,2,2,2,1)",5148,5148,"exact",5148,5148],[1,13,"u","(3,3,2,2,1,1,1)",6006,6006,"exact",6006,6006],[1,13,"u","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[1,13,"u","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[1,13,"u","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[1,13,"u","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[1,13,"u","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[1,13,"u","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[1,13,"u","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[1,13,"u","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[1,13,"u","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[1,13,"u","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[1,13,"u","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[1,13,"u","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[1,13,"u","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[1,13,"u","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[1,13,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,14,"u","(14)",1,0,"exact",0,0],[1,14,"u","(13,1)",13,13,"exact",13,13],[1,14,"u","(12,2)",77,77,"exact",77,77],[1,14,"u","(12,1,1)",78,78,"exact",78,78],[1,14,"u","(11,3)",273,273,"exact",273,273],[1,14,"u","(11,2,1)",560,560,"exact",560,560],[1,14,"u","(11,1,1,1)",286,286,"exact",286,286],[1,14,"u","(10,4)",637,637,"exact",637,637],[1,14,"u","(10,3,1)",2002,2002,"exact",2002,2002],[1,14,"u","(10,2,2)",1365,1365,"exact",1365,1365],[1,14,"u","(10,2,1,1)",2079,2079,"exact",2079,2079],[1,14,"u","(10,1,1,1,1)",715,715,"exact",715,715],[1,14,"u","(9,5)",1001,1001,"exact",1001,1001],[1,14,"u","(9,4,1)",4368,4368,"exact",4368,4368],[1,14,"u","(9,3,2)",5733,5733,"exact",5733,5733],[1,14,"u","(9,3,1,1)",7007,7007,"exact",7007,7007],[1,14,"u","(9,2,2,1)",6006,6006,"exact",6006,6006],[1,14,"u","(9,2,1,1,1)",4928,4928,"exact",4928,4928],[1,14,"u","(9,1,1,1,1,1)",1287,1287,"exact",1287,1287],[1,14,"u","(8,6)",1001,1001,"exact",1001,1001],[1,14,"u","(8,5,1)",6006,6006,"exact",6006,6006],[1,14,"u","(8,4,2)",12012,12012,"exact",12012,12012],[1,14,"u","(8,4,1,1)",13650,13650,"exact",13650,13650],[1,14,"u","(8,3,3)",7007,7007,"exact",7007,7007],[1,14,"u","(8,3,2,1)",23296,23296,"exact",23296,23296],[1,14,"u","(8,3,1,1,1)",15015,15015,"exact",15015,15015],[1,14,"u","(8,2,2,2)",7644,7644,"exact",7644,7644],[1,14,"u","(8,2,2,1,1)",14014,14014,"exact",14014,14014],[1,14,"u","(8,2,1,1,1,1)",8085,8085,"exact",8085,8085],[1,14,"u","(8,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[1,14,"u","(7,7)",429,429,"exact",429,429],[1,14,"u","(7,6,1)",4576,4576,"exact",4576,4576],[1,14,"u","(7,5,2)",14014,14014,"exact",14014,14014],[1,14,"u","(7,5,1,1)",15444,15444,"exact",15444,15444],[1,14,"u","(7,4,3)",16016,16016,"exact",16016,16016],[1,14,"u","(7,4,2,1)",42042,42042,"exact",42042,42042],[1,14,"u","(7,4,1,1,1)",24960,24960,"exact",24960,24960],[1,14,"u","(7,3,3,1)",27027,27027,"exact",27027,27027],[1,14,"u","(7,3,2,2)",28028,28028,"exact",28028,28028],[1,14,"u","(7,3,2,1,1)",47775,47775,"exact",47775,47775],[1,14,"u","(7,3,1,1,1,1)",21450,21450,"exact",21450,21450],[1,14,"u","(7,2,2,2,1)",20384,20384,"exact",20384,20384],[1,14,"u","(7,2,2,1,1,1)",21021,21021,"exact",21021,21021],[1,14,"u","(7,2,1,1,1,1,1)",9504,9504,"exact",9504,9504],[1,14,"u","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[1,14,"u","(6,6,2)",6435,6435,"exact",6435,6435],[1,14,"u","(6,6,1,1)",7007,7007,"exact",7007,7007],[1,14,"u","(6,5,3)",15015,15015,"exact",15015,15015],[1,14,"u","(6,5,2,1)",36608,36608,"exact",36608,36608],[1,14,"u","(6,5,1,1,1)",21021,21021,"exact",21021,21021],[1,14,"u","(6,4,4)",9009,9009,"exact",9009,9009],[1,14,"u","(6,4,3,1)",50050,50050,"exact",50050,50050],[1,14,"u","(6,4,2,2)",42042,42042,"exact",42042,42042],[1,14,"u","(6,4,2,1,1)",69498,69498,"exact",69498,69498],[1,14,"u","(6,4,1,1,1,1)",28665,28665,"exact",28665,28665],[1,14,"u","(6,3,3,2)",35035,35035,"exact",35035,35035],[1,14,"u","(6,3,3,1,1)",48048,48048,"exact",48048,48048],[1,14,"u","(6,3,2,2,1)",63063,63063,"exact",63063,63063],[1,14,"u","(6,3,2,1,1,1)",59904,59904,"exact",59904,59904],[1,14,"u","(6,3,1,1,1,1,1)",21021,21021,"exact",21021,21021],[1,14,"u","(6,2,2,2,2)",14014,14014,"exact",14014,14014],[1,14,"u","(6,2,2,2,1,1)",28665,28665,"exact",28665,28665],[1,14,"u","(6,2,2,1,1,1,1)",21450,21450,"exact",21450,21450],[1,14,"u","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[1,14,"u","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[1,14,"u","(5,5,4)",6006,6006,"exact",6006,6006],[1,14,"u","(5,5,3,1)",27027,27027,"exact",27027,27027],[1,14,"u","(5,5,2,2)",21450,21450,"exact",21450,21450],[1,14,"u","(5,5,2,1,1)",35035,35035,"exact",35035,35035],[1,14,"u","(5,5,1,1,1,1)",14014,14014,"exact",14014,14014],[1,14,"u","(5,4,4,1)",21021,21021,"exact",21021,21021],[1,14,"u","(5,4,3,2)",48048,48048,"exact",48048,48048],[1,14,"u","(5,4,3,1,1)",64064,64064,"exact",64064,64064],[1,14,"u","(5,4,2,2,1)",68640,68640,"exact",68640,68640],[1,14,"u","(5,4,2,1,1,1)",63063,63063,"exact",63063,63063],[1,14,"u","(5,4,1,1,1,1,1)",20384,20384,"exact",20384,20384],[1,14,"u","(5,3,3,3)",15015,15015,"exact",15015,15015],[1,14,"u","(5,3,3,2,1)",64064,64064,"exact",64064,64064],[1,14,"u","(5,3,3,1,1,1)",48048,48048,"exact",48048,48048],[1,14,"u","(5,3,2,2,2)",35035,35035,"exact",35035,35035],[1,14,"u","(5,3,2,2,1,1)",69498,69498,"exact",69498,69498],[1,14,"u","(5,3,2,1,1,1,1)",47775,47775,"exact",47775,47775],[1,14,"u","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[1,14,"u","(5,2,2,2,2,1)",21021,21021,"exact",21021,21021],[1,14,"u","(5,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[1,14,"u","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[1,14,"u","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[1,14,"u","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[1,14,"u","(4,4,4,2)",12012,12012,"exact",12012,12012],[1,14,"u","(4,4,4,1,1)",15015,15015,"exact",15015,15015],[1,14,"u","(4,4,3,3)",12012,12012,"exact",12012,12012],[1,14,"u","(4,4,3,2,1)",48048,48048,"exact",48048,48048],[1,14,"u","(4,4,3,1,1,1)",35035,35035,"exact",35035,35035],[1,14,"u","(4,4,2,2,2)",21450,21450,"exact",21450,21450],[1,14,"u","(4,4,2,2,1,1)",42042,42042,"exact",42042,42042],[1,14,"u","(4,4,2,1,1,1,1)",28028,28028,"exact",28028,28028],[1,14,"u","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[1,14,"u","(4,3,3,3,1)",21021,21021,"exact",21021,21021],[1,14,"u","(4,3,3,2,2)",27027,27027,"exact",27027,27027],[1,14,"u","(4,3,3,2,1,1)",50050,50050,"exact",50050,50050],[1,14,"u","(4,3,3,1,1,1,1)",27027,27027,"exact",27027,27027],[1,14,"u","(4,3,2,2,2,1)",36608,36608,"exact",36608,36608],[1,14,"u","(4,3,2,2,1,1,1)",42042,42042,"exact",42042,42042],[1,14,"u","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[1,14,"u","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[1,14,"u","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[1,14,"u","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[1,14,"u","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[1,14,"u","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[1,14,"u","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[1,14,"u","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[1,14,"u","(3,3,3,3,2)",6006,6006,"exact",6006,6006],[1,14,"u","(3,3,3,3,1,1)",9009,9009,"exact",9009,9009],[1,14,"u","(3,3,3,2,2,1)",15015,15015,"exact",15015,15015],[1,14,"u","(3,3,3,2,1,1,1)",16016,16016,"exact",16016,16016],[1,14,"u","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[1,14,"u","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[1,14,"u","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[1,14,"u","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[1,14,"u","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[1,14,"u","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[1,14,"u","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[1,14,"u","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[1,14,"u","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[1,14,"u","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[1,14,"u","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[1,14,"u","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[1,14,"u","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[1,14,"u","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[1,14,"u","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[1,14,"u","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[1,14,"u","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[1,14,"u","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[1,14,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[1,14,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,15,"u","(15)",1,0,"exact",0,0],[1,15,"u","(14,1)",14,14,"exact",14,14],[1,15,"u","(13,2)",90,90,"exact",90,90],[1,15,"u","(13,1,1)",91,91,"exact",91,91],[1,15,"u","(12,3)",350,350,"exact",350,350],[1,15,"u","(12,2,1)",715,715,"exact",715,715],[1,15,"u","(12,1,1,1)",364,364,"exact",364,364],[1,15,"u","(11,4)",910,910,"exact",910,910],[1,15,"u","(11,3,1)",2835,2835,"exact",2835,2835],[1,15,"u","(11,2,2)",1925,1925,"exact",1925,1925],[1,15,"u","(11,2,1,1)",2925,2925,"exact",2925,2925],[1,15,"u","(11,1,1,1,1)",1001,1001,"exact",1001,1001],[1,15,"u","(10,5)",1638,1638,"exact",1638,1638],[1,15,"u","(10,4,1)",7007,7007,"exact",7007,7007],[1,15,"u","(10,3,2)",9100,9100,"exact",9100,9100],[1,15,"u","(10,3,1,1)",11088,11088,"exact",11088,11088],[1,15,"u","(10,2,2,1)",9450,9450,"exact",9450,9450],[1,15,"u","(10,2,1,1,1)",7722,7722,"exact",7722,7722],[1,15,"u","(10,1,1,1,1,1)",2002,2002,"exact",2002,2002],[1,15,"u","(9,6)",2002,2002,"exact",2002,2002],[1,15,"u","(9,5,1)",11375,11375,"exact",11375,11375],[1,15,"u","(9,4,2)",22113,22113,"exact",22113,22113],[1,15,"u","(9,4,1,1)",25025,25025,"exact",25025,25025],[1,15,"u","(9,3,3)",12740,12740,"exact",12740,12740],[1,15,"u","(9,3,2,1)",42042,42042,"exact",42042,42042],[1,15,"u","(9,3,1,1,1)",26950,26950,"exact",26950,26950],[1,15,"u","(9,2,2,2)",13650,13650,"exact",13650,13650],[1,15,"u","(9,2,2,1,1)",24948,24948,"exact",24948,24948],[1,15,"u","(9,2,1,1,1,1)",14300,14300,"exact",14300,14300],[1,15,"u","(9,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,15,"u","(8,7)",1430,1430,"exact",1430,1430],[1,15,"u","(8,6,1)",11583,11583,"exact",11583,11583],[1,15,"u","(8,5,2)",32032,32032,"exact",32032,32032],[1,15,"u","(8,5,1,1)",35100,35100,"exact",35100,35100],[1,15,"u","(8,4,3)",35035,35035,"exact",35035,35035],[1,15,"u","(8,4,2,1)",91000,91000,"exact",91000,91000],[1,15,"u","(8,4,1,1,1)",53625,53625,"exact",53625,53625],[1,15,"u","(8,3,3,1)",57330,57330,"exact",57330,57330],[1,15,"u","(8,3,2,2)",58968,58968,"exact",58968,58968],[1,15,"u","(8,3,2,1,1)",100100,100100,"exact",100100,100100],[1,15,"u","(8,3,1,1,1,1)",44550,44550,"exact",44550,44550],[1,15,"u","(8,2,2,2,1)",42042,42042,"exact",42042,42042],[1,15,"u","(8,2,2,1,1,1)",43120,43120,"exact",43120,43120],[1,15,"u","(8,2,1,1,1,1,1)",19305,19305,"exact",19305,19305],[1,15,"u","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[1,15,"u","(7,7,1)",5005,5005,"exact",5005,5005],[1,15,"u","(7,6,2)",25025,25025,"exact",25025,25025],[1,15,"u","(7,6,1,1)",27027,27027,"exact",27027,27027],[1,15,"u","(7,5,3)",45045,45045,"exact",45045,45045],[1,15,"u","(7,5,2,1)",108108,108108,"exact",108108,108108],[1,15,"u","(7,5,1,1,1)",61425,61425,"exact",61425,61425],[1,15,"u","(7,4,4)",25025,25025,"exact",25025,25025],[1,15,"u","(7,4,3,1)",135135,135135,"exact",135135,135135],[1,15,"u","(7,4,2,2)",112112,112112,"exact",112112,112112],[1,15,"u","(7,4,2,1,1)",184275,184275,"exact",184275,184275],[1,15,"u","(7,4,1,1,1,1)",75075,75075,"exact",75075,75075],[1,15,"u","(7,3,3,2)",90090,90090,"exact",90090,90090],[1,15,"u","(7,3,3,1,1)",122850,122850,"exact",122850,122850],[1,15,"u","(7,3,2,2,1)",159250,159250,"exact",159250,159250],[1,15,"u","(7,3,2,1,1,1)",150150,150150,"exact",150150,150150],[1,15,"u","(7,3,1,1,1,1,1)",51975,51975,"exact",51975,51975],[1,15,"u","(7,2,2,2,2)",34398,34398,"exact",34398,34398],[1,15,"u","(7,2,2,2,1,1)",70070,70070,"exact",70070,70070],[1,15,"u","(7,2,2,1,1,1,1)",51975,51975,"exact",51975,51975],[1,15,"u","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[1,15,"u","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,15,"u","(6,6,3)",21450,21450,"exact",21450,21450],[1,15,"u","(6,6,2,1)",50050,50050,"exact",50050,50050],[1,15,"u","(6,6,1,1,1)",28028,28028,"exact",28028,28028],[1,15,"u","(6,5,4)",30030,30030,"exact",30030,30030],[1,15,"u","(6,5,3,1)",128700,128700,"exact",128700,128700],[1,15,"u","(6,5,2,2)",100100,100100,"exact",100100,100100],[1,15,"u","(6,5,2,1,1)",162162,162162,"exact",162162,162162],[1,15,"u","(6,5,1,1,1,1)",63700,63700,"exact",63700,63700],[1,15,"u","(6,4,4,1)",80080,80080,"exact",80080,80080],[1,15,"u","(6,4,3,2)",175175,175175,"exact",175175,175175],[1,15,"u","(6,4,3,1,1)",231660,231660,"exact",231660,231660],[1,15,"u","(6,4,2,2,1)",243243,243243,"exact",243243,243243],[1,15,"u","(6,4,2,1,1,1)",221130,221130,"exact",221130,221130],[1,15,"u","(6,4,1,1,1,1,1)",70070,70070,"exact",70070,70070],[1,15,"u","(6,3,3,3)",50050,50050,"exact",50050,50050],[1,15,"u","(6,3,3,2,1)",210210,210210,"exact",210210,210210],[1,15,"u","(6,3,3,1,1,1)",156000,156000,"exact",156000,156000],[1,15,"u","(6,3,2,2,2)",112112,112112,"exact",112112,112112],[1,15,"u","(6,3,2,2,1,1)",221130,221130,"exact",221130,221130],[1,15,"u","(6,3,2,1,1,1,1)",150150,150150,"exact",150150,150150],[1,15,"u","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[1,15,"u","(6,2,2,2,2,1)",63700,63700,"exact",63700,63700],[1,15,"u","(6,2,2,2,1,1,1)",75075,75075,"exact",75075,75075],[1,15,"u","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[1,15,"u","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[1,15,"u","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[1,15,"u","(5,5,5)",6006,6006,"exact",6006,6006],[1,15,"u","(5,5,4,1)",54054,54054,"exact",54054,54054],[1,15,"u","(5,5,3,2)",96525,96525,"exact",96525,96525],[1,15,"u","(5,5,3,1,1)",126126,126126,"exact",126126,126126],[1,15,"u","(5,5,2,2,1)",125125,125125,"exact",125125,125125],[1,15,"u","(5,5,2,1,1,1)",112112,112112,"exact",112112,112112],[1,15,"u","(5,5,1,1,1,1,1)",34398,34398,"exact",34398,34398],[1,15,"u","(5,4,4,2)",81081,81081,"exact",81081,81081],[1,15,"u","(5,4,4,1,1)",100100,100100,"exact",100100,100100],[1,15,"u","(5,4,3,3)",75075,75075,"exact",75075,75075],[1,15,"u","(5,4,3,2,1)",292864,292864,"exact",292864,292864],[1,15,"u","(5,4,3,1,1,1)",210210,210210,"exact",210210,210210],[1,15,"u","(5,4,2,2,2)",125125,125125,"exact",125125,125125],[1,15,"u","(5,4,2,2,1,1)",243243,243243,"exact",243243,243243],[1,15,"u","(5,4,2,1,1,1,1)",159250,159250,"exact",159250,159250],[1,15,"u","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[1,15,"u","(5,3,3,3,1)",100100,100100,"exact",100100,100100],[1,15,"u","(5,3,3,2,2)",126126,126126,"exact",126126,126126],[1,15,"u","(5,3,3,2,1,1)",231660,231660,"exact",231660,231660],[1,15,"u","(5,3,3,1,1,1,1)",122850,122850,"exact",122850,122850],[1,15,"u","(5,3,2,2,2,1)",162162,162162,"exact",162162,162162],[1,15,"u","(5,3,2,2,1,1,1)",184275,184275,"exact",184275,184275],[1,15,"u","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[1,15,"u","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[1,15,"u","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[1,15,"u","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[1,15,"u","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[1,15,"u","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[1,15,"u","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[1,15,"u","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[1,15,"u","(4,4,4,3)",24024,24024,"exact",24024,24024],[1,15,"u","(4,4,4,2,1)",75075,75075,"exact",75075,75075],[1,15,"u","(4,4,4,1,1,1)",50050,50050,"exact",50050,50050],[1,15,"u","(4,4,3,3,1)",81081,81081,"exact",81081,81081],[1,15,"u","(4,4,3,2,2)",96525,96525,"exact",96525,96525],[1,15,"u","(4,4,3,2,1,1)",175175,175175,"exact",175175,175175],[1,15,"u","(4,4,3,1,1,1,1)",90090,90090,"exact",90090,90090],[1,15,"u","(4,4,2,2,2,1)",100100,100100,"exact",100100,100100],[1,15,"u","(4,4,2,2,1,1,1)",112112,112112,"exact",112112,112112],[1,15,"u","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[1,15,"u","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[1,15,"u","(4,3,3,3,2)",54054,54054,"exact",54054,54054],[1,15,"u","(4,3,3,3,1,1)",80080,80080,"exact",80080,80080],[1,15,"u","(4,3,3,2,2,1)",128700,128700,"exact",128700,128700],[1,15,"u","(4,3,3,2,1,1,1)",135135,135135,"exact",135135,135135],[1,15,"u","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[1,15,"u","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[1,15,"u","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[1,15,"u","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[1,15,"u","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[1,15,"u","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[1,15,"u","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[1,15,"u","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[1,15,"u","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[1,15,"u","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[1,15,"u","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[1,15,"u","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[1,15,"u","(3,3,3,3,3)",6006,6006,"exact",6006,6006],[1,15,"u","(3,3,3,3,2,1)",30030,30030,"exact",30030,30030],[1,15,"u","(3,3,3,3,1,1,1)",25025,25025,"exact",25025,25025],[1,15,"u","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[1,15,"u","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[1,15,"u","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[1,15,"u","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[1,15,"u","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[1,15,"u","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[1,15,"u","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[1,15,"u","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[1,15,"u","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[1,15,"u","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[1,15,"u","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[1,15,"u","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[1,15,"u","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[1,15,"u","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[1,15,"u","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[1,15,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[1,15,"u","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[1,15,"u","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[1,15,"u","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[1,15,"u","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[1,15,"u","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[1,15,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[1,15,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[1,15,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,16,"u","(16)",1,0,"exact",0,0],[1,16,"u","(15,1)",15,15,"exact",15,15],[1,16,"u","(14,2)",104,104,"exact",104,104],[1,16,"u","(14,1,1)",105,105,"exact",105,105],[1,16,"u","(13,3)",440,440,"exact",440,440],[1,16,"u","(13,2,1)",896,896,"exact",896,896],[1,16,"u","(13,1,1,1)",455,455,"exact",455,455],[1,16,"u","(12,4)",1260,1260,"exact",1260,1260],[1,16,"u","(12,3,1)",3900,3900,"exact",3900,3900],[1,16,"u","(12,2,2)",2640,2640,"exact",2640,2640],[1,16,"u","(12,2,1,1)",4004,4004,"exact",4004,4004],[1,16,"u","(12,1,1,1,1)",1365,1365,"exact",1365,1365],[1,16,"u","(11,5)",2548,2548,"exact",2548,2548],[1,16,"u","(11,4,1)",10752,10752,"exact",10752,10752],[1,16,"u","(11,3,2)",13860,13860,"exact",13860,13860],[1,16,"u","(11,3,1,1)",16848,16848,"exact",16848,16848],[1,16,"u","(11,2,2,1)",14300,14300,"exact",14300,14300],[1,16,"u","(11,2,1,1,1)",11648,11648,"exact",11648,11648],[1,16,"u","(11,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,16,"u","(10,6)",3640,3640,"exact",3640,3640],[1,16,"u","(10,5,1)",20020,20020,"exact",20020,20020],[1,16,"u","(10,4,2)",38220,38220,"exact",38220,38220],[1,16,"u","(10,4,1,1)",43120,43120,"exact",43120,43120],[1,16,"u","(10,3,3)",21840,21840,"exact",21840,21840],[1,16,"u","(10,3,2,1)",71680,71680,"exact",71680,71680],[1,16,"u","(10,3,1,1,1)",45760,45760,"exact",45760,45760],[1,16,"u","(10,2,2,2)",23100,23100,"exact",23100,23100],[1,16,"u","(10,2,2,1,1)",42120,42120,"exact",42120,42120],[1,16,"u","(10,2,1,1,1,1)",24024,24024,"exact",24024,24024],[1,16,"u","(10,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[1,16,"u","(9,7)",3432,3432,"exact",3432,3432],[1,16,"u","(9,6,1)",24960,24960,"exact",24960,24960],[1,16,"u","(9,5,2)",65520,65520,"exact",65520,65520],[1,16,"u","(9,5,1,1)",71500,71500,"exact",71500,71500],[1,16,"u","(9,4,3)",69888,69888,"exact",69888,69888],[1,16,"u","(9,4,2,1)",180180,180180,"exact",180180,180180],[1,16,"u","(9,4,1,1,1)",105600,105600,"exact",105600,105600],[1,16,"u","(9,3,3,1)",112112,112112,"exact",112112,112112],[1,16,"u","(9,3,2,2)",114660,114660,"exact",114660,114660],[1,16,"u","(9,3,2,1,1)",194040,194040,"exact",194040,194040],[1,16,"u","(9,3,1,1,1,1)",85800,85800,"exact",85800,85800],[1,16,"u","(9,2,2,2,1)",80640,80640,"exact",80640,80640],[1,16,"u","(9,2,2,1,1,1)",82368,82368,"exact",82368,82368],[1,16,"u","(9,2,1,1,1,1,1)",36608,36608,"exact",36608,36608],[1,16,"u","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[1,16,"u","(8,8)",1430,1430,"exact",1430,1430],[1,16,"u","(8,7,1)",18018,18018,"exact",18018,18018],[1,16,"u","(8,6,2)",68640,68640,"exact",68640,68640],[1,16,"u","(8,6,1,1)",73710,73710,"exact",73710,73710],[1,16,"u","(8,5,3)",112112,112112,"exact",112112,112112],[1,16,"u","(8,5,2,1)",266240,266240,"exact",266240,266240],[1,16,"u","(8,5,1,1,1)",150150,150150,"exact",150150,150150],[1,16,"u","(8,4,4)",60060,60060,"exact",60060,60060],[1,16,"u","(8,4,3,1)",318500,318500,"exact",318500,318500],[1,16,"u","(8,4,2,2)",262080,262080,"exact",262080,262080],[1,16,"u","(8,4,2,1,1)",429000,429000,"exact",429000,429000],[1,16,"u","(8,4,1,1,1,1)",173250,173250,"exact",173250,173250],[1,16,"u","(8,3,3,2)",206388,206388,"exact",206388,206388],[1,16,"u","(8,3,3,1,1)",280280,280280,"exact",280280,280280],[1,16,"u","(8,3,2,2,1)",360360,360360,"exact",360360,360360],[1,16,"u","(8,3,2,1,1,1)",337920,337920,"exact",337920,337920],[1,16,"u","(8,3,1,1,1,1,1)",115830,115830,"exact",115830,115830],[1,16,"u","(8,2,2,2,2)",76440,76440,"exact",76440,76440],[1,16,"u","(8,2,2,2,1,1)",155232,155232,"exact",155232,155232],[1,16,"u","(8,2,2,1,1,1,1)",114400,114400,"exact",114400,114400],[1,16,"u","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[1,16,"u","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[1,16,"u","(7,7,2)",30030,30030,"exact",30030,30030],[1,16,"u","(7,7,1,1)",32032,32032,"exact",32032,32032],[1,16,"u","(7,6,3)",91520,91520,"exact",91520,91520],[1,16,"u","(7,6,2,1)",210210,210210,"exact",210210,210210],[1,16,"u","(7,6,1,1,1)",116480,116480,"exact",116480,116480],[1,16,"u","(7,5,4)",100100,100100,"exact",100100,100100],[1,16,"u","(7,5,3,1)",416988,416988,"exact",416988,416988],[1,16,"u","(7,5,2,2)",320320,320320,"exact",320320,320320],[1,16,"u","(7,5,2,1,1)",515970,515970,"exact",515970,515970],[1,16,"u","(7,5,1,1,1,1)",200200,200200,"exact",200200,200200],[1,16,"u","(7,4,4,1)",240240,240240,"exact",240240,240240],[1,16,"u","(7,4,3,2)",512512,512512,"exact",512512,512512],[1,16,"u","(7,4,3,1,1)",673920,673920,"exact",673920,673920],[1,16,"u","(7,4,2,2,1)",698880,698880,"exact",698880,698880],[1,16,"u","(7,4,2,1,1,1)",630630,630630,"exact",630630,630630],[1,16,"u","(7,4,1,1,1,1,1)",197120,197120,"exact",197120,197120],[1,16,"u","(7,3,3,3)",140140,140140,"exact",140140,140140],[1,16,"u","(7,3,3,2,1)",582400,582400,"exact",582400,582400],[1,16,"u","(7,3,3,1,1,1)",429000,429000,"exact",429000,429000],[1,16,"u","(7,3,2,2,2)",305760,305760,"exact",305760,305760],[1,16,"u","(7,3,2,2,1,1)",600600,600600,"exact",600600,600600],[1,16,"u","(7,3,2,1,1,1,1)",404250,404250,"exact",404250,404250],[1,16,"u","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[1,16,"u","(7,2,2,2,2,1)",168168,168168,"exact",168168,168168],[1,16,"u","(7,2,2,2,1,1,1)",197120,197120,"exact",197120,197120],[1,16,"u","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[1,16,"u","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[1,16,"u","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[1,16,"u","(6,6,4)",51480,51480,"exact",51480,51480],[1,16,"u","(6,6,3,1)",200200,200200,"exact",200200,200200],[1,16,"u","(6,6,2,2)",150150,150150,"exact",150150,150150],[1,16,"u","(6,6,2,1,1)",240240,240240,"exact",240240,240240],[1,16,"u","(6,6,1,1,1,1)",91728,91728,"exact",91728,91728],[1,16,"u","(6,5,5)",36036,36036,"exact",36036,36036],[1,16,"u","(6,5,4,1)",292864,292864,"exact",292864,292864],[1,16,"u","(6,5,3,2)",500500,500500,"exact",500500,500500],[1,16,"u","(6,5,3,1,1)",648648,648648,"exact",648648,648648],[1,16,"u","(6,5,2,2,1)",630630,630630,"exact",630630,630630],[1,16,"u","(6,5,2,1,1,1)",559104,559104,"exact",559104,559104],[1,16,"u","(6,5,1,1,1,1,1)",168168,168168,"exact",168168,168168],[1,16,"u","(6,4,4,2)",336336,336336,"exact",336336,336336],[1,16,"u","(6,4,4,1,1)",411840,411840,"exact",411840,411840],[1,16,"u","(6,4,3,3)",300300,300300,"exact",300300,300300],[1,16,"u","(6,4,3,2,1)",1153152,1153152,"exact",1153152,1153152],[1,16,"u","(6,4,3,1,1,1)",819000,819000,"exact",819000,819000],[1,16,"u","(6,4,2,2,2)",480480,480480,"exact",480480,480480],[1,16,"u","(6,4,2,2,1,1)",928746,928746,"exact",928746,928746],[1,16,"u","(6,4,2,1,1,1,1)",600600,600600,"exact",600600,600600],[1,16,"u","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[1,16,"u","(6,3,3,3,1)",360360,360360,"exact",360360,360360],[1,16,"u","(6,3,3,2,2)",448448,448448,"exact",448448,448448],[1,16,"u","(6,3,3,2,1,1)",819000,819000,"exact",819000,819000],[1,16,"u","(6,3,3,1,1,1,1)",429000,429000,"exact",429000,429000],[1,16,"u","(6,3,2,2,2,1)",559104,559104,"exact",559104,559104],[1,16,"u","(6,3,2,2,1,1,1)",630630,630630,"exact",630630,630630],[1,16,"u","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[1,16,"u","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[1,16,"u","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[1,16,"u","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[1,16,"u","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[1,16,"u","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[1,16,"u","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[1,16,"u","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[1,16,"u","(5,5,5,1)",60060,60060,"exact",60060,60060],[1,16,"u","(5,5,4,2)",231660,231660,"exact",231660,231660],[1,16,"u","(5,5,4,1,1)",280280,280280,"exact",280280,280280],[1,16,"u","(5,5,3,3)",171600,171600,"exact",171600,171600],[1,16,"u","(5,5,3,2,1)",640640,640640,"exact",640640,640640],[1,16,"u","(5,5,3,1,1,1)",448448,448448,"exact",448448,448448],[1,16,"u","(5,5,2,2,2)",250250,250250,"exact",250250,250250],[1,16,"u","(5,5,2,2,1,1)",480480,480480,"exact",480480,480480],[1,16,"u","(5,5,2,1,1,1,1)",305760,305760,"exact",305760,305760],[1,16,"u","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[1,16,"u","(5,4,4,3)",180180,180180,"exact",180180,180180],[1,16,"u","(5,4,4,2,1)",549120,549120,"exact",549120,549120],[1,16,"u","(5,4,4,1,1,1)",360360,360360,"exact",360360,360360],[1,16,"u","(5,4,3,3,1)",549120,549120,"exact",549120,549120],[1,16,"u","(5,4,3,2,2)",640640,640640,"exact",640640,640640],[1,16,"u","(5,4,3,2,1,1)",1153152,1153152,"exact",1153152,1153152],[1,16,"u","(5,4,3,1,1,1,1)",582400,582400,"exact",582400,582400],[1,16,"u","(5,4,2,2,2,1)",630630,630630,"exact",630630,630630],[1,16,"u","(5,4,2,2,1,1,1)",698880,698880,"exact",698880,698880],[1,16,"u","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[1,16,"u","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[1,16,"u","(5,3,3,3,2)",280280,280280,"exact",280280,280280],[1,16,"u","(5,3,3,3,1,1)",411840,411840,"exact",411840,411840],[1,16,"u","(5,3,3,2,2,1)",648648,648648,"exact",648648,648648],[1,16,"u","(5,3,3,2,1,1,1)",673920,673920,"exact",673920,673920],[1,16,"u","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[1,16,"u","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[1,16,"u","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[1,16,"u","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[1,16,"u","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[1,16,"u","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[1,16,"u","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[1,16,"u","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[1,16,"u","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[1,16,"u","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[1,16,"u","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[1,16,"u","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[1,16,"u","(4,4,4,4)",24024,24024,"exact",24024,24024],[1,16,"u","(4,4,4,3,1)",180180,180180,"exact",180180,180180],[1,16,"u","(4,4,4,2,2)",171600,171600,"exact",171600,171600],[1,16,"u","(4,4,4,2,1,1)",300300,300300,"exact",300300,300300],[1,16,"u","(4,4,4,1,1,1,1)",140140,140140,"exact",140140,140140],[1,16,"u","(4,4,3,3,2)",231660,231660,"exact",231660,231660],[1,16,"u","(4,4,3,3,1,1)",336336,336336,"exact",336336,336336],[1,16,"u","(4,4,3,2,2,1)",500500,500500,"exact",500500,500500],[1,16,"u","(4,4,3,2,1,1,1)",512512,512512,"exact",512512,512512],[1,16,"u","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[1,16,"u","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[1,16,"u","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[1,16,"u","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[1,16,"u","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[1,16,"u","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[1,16,"u","(4,3,3,3,3)",60060,60060,"exact",60060,60060],[1,16,"u","(4,3,3,3,2,1)",292864,292864,"exact",292864,292864],[1,16,"u","(4,3,3,3,1,1,1)",240240,240240,"exact",240240,240240],[1,16,"u","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[1,16,"u","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[1,16,"u","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[1,16,"u","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[1,16,"u","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[1,16,"u","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[1,16,"u","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[1,16,"u","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[1,16,"u","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[1,16,"u","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[1,16,"u","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[1,16,"u","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[1,16,"u","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[1,16,"u","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[1,16,"u","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[1,16,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[1,16,"u","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[1,16,"u","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[1,16,"u","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[1,16,"u","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[1,16,"u","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[1,16,"u","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[1,16,"u","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[1,16,"u","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[1,16,"u","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[1,16,"u","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[1,16,"u","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[1,16,"u","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[1,16,"u","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[1,16,"u","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[1,16,"u","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[1,16,"u","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[1,16,"u","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[1,16,"u","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[1,16,"u","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[1,16,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[1,16,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[1,16,"u","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[1,16,"u","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[1,16,"u","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[1,16,"u","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[1,16,"u","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[1,16,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[1,16,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[1,16,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[1,16,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,17,"u","(17)",1,0,"exact",0,0],[1,17,"u","(16,1)",16,16,"exact",16,16],[1,17,"u","(15,2)",119,119,"exact",119,119],[1,17,"u","(15,1,1)",120,120,"exact",120,120],[1,17,"u","(14,3)",544,544,"exact",544,544],[1,17,"u","(14,2,1)",1105,1105,"exact",1105,1105],[1,17,"u","(14,1,1,1)",560,560,"exact",560,560],[1,17,"u","(13,4)",1700,1700,"exact",1700,1700],[1,17,"u","(13,3,1)",5236,5236,"exact",5236,5236],[1,17,"u","(13,2,2)",3536,3536,"exact",3536,3536],[1,17,"u","(13,2,1,1)",5355,5355,"exact",5355,5355],[1,17,"u","(13,1,1,1,1)",1820,1820,"exact",1820,1820],[1,17,"u","(12,5)",3808,3808,"exact",3808,3808],[1,17,"u","(12,4,1)",15912,15912,"exact",15912,15912],[1,17,"u","(12,3,2)",20400,20400,"exact",20400,20400],[1,17,"u","(12,3,1,1)",24752,24752,"exact",24752,24752],[1,17,"u","(12,2,2,1)",20944,20944,"exact",20944,20944],[1,17,"u","(12,2,1,1,1)",17017,17017,"exact",17017,17017],[1,17,"u","(12,1,1,1,1,1)",4368,4368,"exact",4368,4368],[1,17,"u","(11,6)",6188,6188,"exact",6188,6188],[1,17,"u","(11,5,1)",33320,33320,"exact",33320,33320],[1,17,"u","(11,4,2)",62832,62832,"exact",62832,62832],[1,17,"u","(11,4,1,1)",70720,70720,"exact",70720,70720],[1,17,"u","(11,3,3)",35700,35700,"exact",35700,35700],[1,17,"u","(11,3,2,1)",116688,116688,"exact",116688,116688],[1,17,"u","(11,3,1,1,1)",74256,74256,"exact",74256,74256],[1,17,"u","(11,2,2,2)",37400,37400,"exact",37400,37400],[1,17,"u","(11,2,2,1,1)",68068,68068,"exact",68068,68068],[1,17,"u","(11,2,1,1,1,1)",38675,38675,"exact",38675,38675],[1,17,"u","(11,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[1,17,"u","(10,7)",7072,7072,"exact",7072,7072],[1,17,"u","(10,6,1)",48620,48620,"exact",48620,48620],[1,17,"u","(10,5,2)",123760,123760,"exact",123760,123760],[1,17,"u","(10,5,1,1)",134640,134640,"exact",134640,134640],[1,17,"u","(10,4,3)",129948,129948,"exact",129948,129948],[1,17,"u","(10,4,2,1)",333200,333200,"exact",333200,333200],[1,17,"u","(10,4,1,1,1)",194480,194480,"exact",194480,194480],[1,17,"u","(10,3,3,1)",205632,205632,"exact",205632,205632],[1,17,"u","(10,3,2,2)",209440,209440,"exact",209440,209440],[1,17,"u","(10,3,2,1,1)",353600,353600,"exact",353600,353600],[1,17,"u","(10,3,1,1,1,1)",155584,155584,"exact",155584,155584],[1,17,"u","(10,2,2,2,1)",145860,145860,"exact",145860,145860],[1,17,"u","(10,2,2,1,1,1)",148512,148512,"exact",148512,148512],[1,17,"u","(10,2,1,1,1,1,1)",65637,65637,"exact",65637,65637],[1,17,"u","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[1,17,"u","(9,8)",4862,4862,"exact",4862,4862],[1,17,"u","(9,7,1)",46410,46410,"exact",46410,46410],[1,17,"u","(9,6,2)",159120,159120,"exact",159120,159120],[1,17,"u","(9,6,1,1)",170170,170170,"exact",170170,170170],[1,17,"u","(9,5,3)",247520,247520,"exact",247520,247520],[1,17,"u","(9,5,2,1)",583440,583440,"exact",583440,583440],[1,17,"u","(9,5,1,1,1)",327250,327250,"exact",327250,327250],[1,17,"u","(9,4,4)",129948,129948,"exact",129948,129948],[1,17,"u","(9,4,3,1)",680680,680680,"exact",680680,680680],[1,17,"u","(9,4,2,2)",556920,556920,"exact",556920,556920],[1,17,"u","(9,4,2,1,1)",908820,908820,"exact",908820,908820],[1,17,"u","(9,4,1,1,1,1)",364650,364650,"exact",364650,364650],[1,17,"u","(9,3,3,2)",433160,433160,"exact",433160,433160],[1,17,"u","(9,3,3,1,1)",586432,586432,"exact",586432,586432],[1,17,"u","(9,3,2,2,1)",749700,749700,"exact",749700,749700],[1,17,"u","(9,3,2,1,1,1)",700128,700128,"exact",700128,700128],[1,17,"u","(9,3,1,1,1,1,1)",238238,238238,"exact",238238,238238],[1,17,"u","(9,2,2,2,2)",157080,157080,"exact",157080,157080],[1,17,"u","(9,2,2,2,1,1)",318240,318240,"exact",318240,318240],[1,17,"u","(9,2,2,1,1,1,1)",233376,233376,"exact",233376,233376],[1,17,"u","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[1,17,"u","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[1,17,"u","(8,8,1)",19448,19448,"exact",19448,19448],[1,17,"u","(8,7,2)",116688,116688,"exact",116688,116688],[1,17,"u","(8,7,1,1)",123760,123760,"exact",123760,123760],[1,17,"u","(8,6,3)",272272,272272,"exact",272272,272272],[1,17,"u","(8,6,2,1)",618800,618800,"exact",618800,618800],[1,17,"u","(8,6,1,1,1)",340340,340340,"exact",340340,340340],[1,17,"u","(8,5,4)",272272,272272,"exact",272272,272272],[1,17,"u","(8,5,3,1)",1113840,1113840,"exact",1113840,1113840],[1,17,"u","(8,5,2,2)",848640,848640,"exact",848640,848640],[1,17,"u","(8,5,2,1,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(8,5,1,1,1,1)",523600,523600,"exact",523600,523600],[1,17,"u","(8,4,4,1)",618800,618800,"exact",618800,618800],[1,17,"u","(8,4,3,2)",1299480,1299480,"exact",1299480,1299480],[1,17,"u","(8,4,3,1,1)",1701700,1701700,"exact",1701700,1701700],[1,17,"u","(8,4,2,2,1)",1750320,1750320,"exact",1750320,1750320],[1,17,"u","(8,4,2,1,1,1)",1570800,1570800,"exact",1570800,1570800],[1,17,"u","(8,4,1,1,1,1,1)",486200,486200,"exact",486200,486200],[1,17,"u","(8,3,3,3)",346528,346528,"exact",346528,346528],[1,17,"u","(8,3,3,2,1)",1429428,1429428,"exact",1429428,1429428],[1,17,"u","(8,3,3,1,1,1)",1047200,1047200,"exact",1047200,1047200],[1,17,"u","(8,3,2,2,2)",742560,742560,"exact",742560,742560],[1,17,"u","(8,3,2,2,1,1)",1454112,1454112,"exact",1454112,1454112],[1,17,"u","(8,3,2,1,1,1,1)",972400,972400,"exact",972400,972400],[1,17,"u","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[1,17,"u","(8,2,2,2,2,1)",399840,399840,"exact",399840,399840],[1,17,"u","(8,2,2,2,1,1,1)",466752,466752,"exact",466752,466752],[1,17,"u","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[1,17,"u","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[1,17,"u","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[1,17,"u","(7,7,3)",121550,121550,"exact",121550,121550],[1,17,"u","(7,7,2,1)",272272,272272,"exact",272272,272272],[1,17,"u","(7,7,1,1,1)",148512,148512,"exact",148512,148512],[1,17,"u","(7,6,4)",243100,243100,"exact",243100,243100],[1,17,"u","(7,6,3,1)",918918,918918,"exact",918918,918918],[1,17,"u","(7,6,2,2)",680680,680680,"exact",680680,680680],[1,17,"u","(7,6,2,1,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"u","(7,6,1,1,1,1)",408408,408408,"exact",408408,408408],[1,17,"u","(7,5,5)",136136,136136,"exact",136136,136136],[1,17,"u","(7,5,4,1)",1050192,1050192,"exact",1050192,1050192],[1,17,"u","(7,5,3,2)",1750320,1750320,"exact",1750320,1750320],[1,17,"u","(7,5,3,1,1)",2255526,2255526,"exact",2255526,2255526],[1,17,"u","(7,5,2,2,1)",2165800,2165800,"exact",2165800,2165800],[1,17,"u","(7,5,2,1,1,1)",1905904,1905904,"exact",1905904,1905904],[1,17,"u","(7,5,1,1,1,1,1)",565488,565488,"exact",565488,565488],[1,17,"u","(7,4,4,2)",1089088,1089088,"exact",1089088,1089088],[1,17,"u","(7,4,4,1,1)",1326000,1326000,"exact",1326000,1326000],[1,17,"u","(7,4,3,3)",952952,952952,"exact",952952,952952],[1,17,"u","(7,4,3,2,1)",3620864,3620864,"exact",3620864,3620864],[1,17,"u","(7,4,3,1,1,1)",2552550,2552550,"exact",2552550,2552550],[1,17,"u","(7,4,2,2,2)",1485120,1485120,"exact",1485120,1485120],[1,17,"u","(7,4,2,2,1,1)",2858856,2858856,"exact",2858856,2858856],[1,17,"u","(7,4,2,1,1,1,1)",1832600,1832600,"exact",1832600,1832600],[1,17,"u","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[1,17,"u","(7,3,3,3,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"u","(7,3,3,2,2)",1336608,1336608,"exact",1336608,1336608],[1,17,"u","(7,3,3,2,1,1)",2431000,2431000,"exact",2431000,2431000],[1,17,"u","(7,3,3,1,1,1,1)",1262250,1262250,"exact",1262250,1262250],[1,17,"u","(7,3,2,2,2,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"u","(7,3,2,2,1,1,1)",1832600,1832600,"exact",1832600,1832600],[1,17,"u","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[1,17,"u","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[1,17,"u","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[1,17,"u","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[1,17,"u","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[1,17,"u","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[1,17,"u","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[1,17,"u","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[1,17,"u","(6,6,5)",87516,87516,"exact",87516,87516],[1,17,"u","(6,6,4,1)",544544,544544,"exact",544544,544544],[1,17,"u","(6,6,3,2)",850850,850850,"exact",850850,850850],[1,17,"u","(6,6,3,1,1)",1089088,1089088,"exact",1089088,1089088],[1,17,"u","(6,6,2,2,1)",1021020,1021020,"exact",1021020,1021020],[1,17,"u","(6,6,2,1,1,1)",891072,891072,"exact",891072,891072],[1,17,"u","(6,6,1,1,1,1,1)",259896,259896,"exact",259896,259896],[1,17,"u","(6,5,5,1)",388960,388960,"exact",388960,388960],[1,17,"u","(6,5,4,2)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(6,5,4,1,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"u","(6,5,3,3)",972400,972400,"exact",972400,972400],[1,17,"u","(6,5,3,2,1)",3573570,3573570,"exact",3573570,3573570],[1,17,"u","(6,5,3,1,1,1)",2475200,2475200,"exact",2475200,2475200],[1,17,"u","(6,5,2,2,2)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(6,5,2,2,1,1)",2598960,2598960,"exact",2598960,2598960],[1,17,"u","(6,5,2,1,1,1,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"u","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[1,17,"u","(6,4,4,3)",816816,816816,"exact",816816,816816],[1,17,"u","(6,4,4,2,1)",2450448,2450448,"exact",2450448,2450448],[1,17,"u","(6,4,4,1,1,1)",1591200,1591200,"exact",1591200,1591200],[1,17,"u","(6,4,3,3,1)",2362932,2362932,"exact",2362932,2362932],[1,17,"u","(6,4,3,2,2)",2722720,2722720,"exact",2722720,2722720],[1,17,"u","(6,4,3,2,1,1)",4873050,4873050,"exact",4873050,4873050],[1,17,"u","(6,4,3,1,1,1,1)",2431000,2431000,"exact",2431000,2431000],[1,17,"u","(6,4,2,2,2,1)",2598960,2598960,"exact",2598960,2598960],[1,17,"u","(6,4,2,2,1,1,1)",2858856,2858856,"exact",2858856,2858856],[1,17,"u","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[1,17,"u","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[1,17,"u","(6,3,3,3,2)",1089088,1089088,"exact",1089088,1089088],[1,17,"u","(6,3,3,3,1,1)",1591200,1591200,"exact",1591200,1591200],[1,17,"u","(6,3,3,2,2,1)",2475200,2475200,"exact",2475200,2475200],[1,17,"u","(6,3,3,2,1,1,1)",2552550,2552550,"exact",2552550,2552550],[1,17,"u","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[1,17,"u","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[1,17,"u","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[1,17,"u","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[1,17,"u","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[1,17,"u","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[1,17,"u","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[1,17,"u","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[1,17,"u","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[1,17,"u","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[1,17,"u","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[1,17,"u","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[1,17,"u","(5,5,5,2)",291720,291720,"exact",291720,291720],[1,17,"u","(5,5,5,1,1)",340340,340340,"exact",340340,340340],[1,17,"u","(5,5,4,3)",583440,583440,"exact",583440,583440],[1,17,"u","(5,5,4,2,1)",1701700,1701700,"exact",1701700,1701700],[1,17,"u","(5,5,4,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,17,"u","(5,5,3,3,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(5,5,3,2,2)",1531530,1531530,"exact",1531530,1531530],[1,17,"u","(5,5,3,2,1,1)",2722720,2722720,"exact",2722720,2722720],[1,17,"u","(5,5,3,1,1,1,1)",1336608,1336608,"exact",1336608,1336608],[1,17,"u","(5,5,2,2,2,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(5,5,2,2,1,1,1)",1485120,1485120,"exact",1485120,1485120],[1,17,"u","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[1,17,"u","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[1,17,"u","(5,4,4,4)",204204,204204,"exact",204204,204204],[1,17,"u","(5,4,4,3,1)",1458600,1458600,"exact",1458600,1458600],[1,17,"u","(5,4,4,2,2)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(5,4,4,2,1,1)",2362932,2362932,"exact",2362932,2362932],[1,17,"u","(5,4,4,1,1,1,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"u","(5,4,3,3,2)",1701700,1701700,"exact",1701700,1701700],[1,17,"u","(5,4,3,3,1,1)",2450448,2450448,"exact",2450448,2450448],[1,17,"u","(5,4,3,2,2,1)",3573570,3573570,"exact",3573570,3573570],[1,17,"u","(5,4,3,2,1,1,1)",3620864,3620864,"exact",3620864,3620864],[1,17,"u","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[1,17,"u","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[1,17,"u","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[1,17,"u","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[1,17,"u","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[1,17,"u","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[1,17,"u","(5,3,3,3,3)",340340,340340,"exact",340340,340340],[1,17,"u","(5,3,3,3,2,1)",1633632,1633632,"exact",1633632,1633632],[1,17,"u","(5,3,3,3,1,1,1)",1326000,1326000,"exact",1326000,1326000],[1,17,"u","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[1,17,"u","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[1,17,"u","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[1,17,"u","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[1,17,"u","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[1,17,"u","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[1,17,"u","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[1,17,"u","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[1,17,"u","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[1,17,"u","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[1,17,"u","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[1,17,"u","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[1,17,"u","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[1,17,"u","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[1,17,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[1,17,"u","(4,4,4,4,1)",204204,204204,"exact",204204,204204],[1,17,"u","(4,4,4,3,2)",583440,583440,"exact",583440,583440],[1,17,"u","(4,4,4,3,1,1)",816816,816816,"exact",816816,816816],[1,17,"u","(4,4,4,2,2,1)",972400,972400,"exact",972400,972400],[1,17,"u","(4,4,4,2,1,1,1)",952952,952952,"exact",952952,952952],[1,17,"u","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[1,17,"u","(4,4,3,3,3)",291720,291720,"exact",291720,291720],[1,17,"u","(4,4,3,3,2,1)",1361360,1361360,"exact",1361360,1361360],[1,17,"u","(4,4,3,3,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,17,"u","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[1,17,"u","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[1,17,"u","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[1,17,"u","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[1,17,"u","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[1,17,"u","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[1,17,"u","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[1,17,"u","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[1,17,"u","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[1,17,"u","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[1,17,"u","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[1,17,"u","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[1,17,"u","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[1,17,"u","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[1,17,"u","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[1,17,"u","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[1,17,"u","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[1,17,"u","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[1,17,"u","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[1,17,"u","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[1,17,"u","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[1,17,"u","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[1,17,"u","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[1,17,"u","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[1,17,"u","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[1,17,"u","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[1,17,"u","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[1,17,"u","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[1,17,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[1,17,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[1,17,"u","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[1,17,"u","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[1,17,"u","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[1,17,"u","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[1,17,"u","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[1,17,"u","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[1,17,"u","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[1,17,"u","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[1,17,"u","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[1,17,"u","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[1,17,"u","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[1,17,"u","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[1,17,"u","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[1,17,"u","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[1,17,"u","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[1,17,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[1,17,"u","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[1,17,"u","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[1,17,"u","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[1,17,"u","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[1,17,"u","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[1,17,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[1,17,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[1,17,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[1,17,"u","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[1,17,"u","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[1,17,"u","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[1,17,"u","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[1,17,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[1,17,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[1,17,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[1,17,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[1,17,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,18,"u","(18)",1,0,"exact",0,0],[1,18,"u","(17,1)",17,17,"exact",17,17],[1,18,"u","(16,2)",135,135,"exact",135,135],[1,18,"u","(16,1,1)",136,136,"exact",136,136],[1,18,"u","(15,3)",663,663,"exact",663,663],[1,18,"u","(15,2,1)",1344,1344,"exact",1344,1344],[1,18,"u","(15,1,1,1)",680,680,"exact",680,680],[1,18,"u","(14,4)",2244,2244,"exact",2244,2244],[1,18,"u","(14,3,1)",6885,6885,"exact",6885,6885],[1,18,"u","(14,2,2)",4641,4641,"exact",4641,4641],[1,18,"u","(14,2,1,1)",7020,7020,"exact",7020,7020],[1,18,"u","(14,1,1,1,1)",2380,2380,"exact",2380,2380],[1,18,"u","(13,5)",5508,5508,"exact",5508,5508],[1,18,"u","(13,4,1)",22848,22848,"exact",22848,22848],[1,18,"u","(13,3,2)",29172,29172,"exact",29172,29172],[1,18,"u","(13,3,1,1)",35343,35343,"exact",35343,35343],[1,18,"u","(13,2,2,1)",29835,29835,"exact",29835,29835],[1,18,"u","(13,2,1,1,1)",24192,24192,"exact",24192,24192],[1,18,"u","(13,1,1,1,1,1)",6188,6188,"exact",6188,6188],[1,18,"u","(12,6)",9996,9996,"exact",9996,9996],[1,18,"u","(12,5,1)",53040,53040,"exact",53040,53040],[1,18,"u","(12,4,2)",99144,99144,"exact",99144,99144],[1,18,"u","(12,4,1,1)",111384,111384,"exact",111384,111384],[1,18,"u","(12,3,3)",56100,56100,"exact",56100,56100],[1,18,"u","(12,3,2,1)",182784,182784,"exact",182784,182784],[1,18,"u","(12,3,1,1,1)",116025,116025,"exact",116025,116025],[1,18,"u","(12,2,2,2)",58344,58344,"exact",58344,58344],[1,18,"u","(12,2,2,1,1)",106029,106029,"exact",106029,106029],[1,18,"u","(12,2,1,1,1,1)",60060,60060,"exact",60060,60060],[1,18,"u","(12,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[1,18,"u","(11,7)",13260,13260,"exact",13260,13260],[1,18,"u","(11,6,1)",88128,88128,"exact",88128,88128],[1,18,"u","(11,5,2)",219912,219912,"exact",219912,219912],[1,18,"u","(11,5,1,1)",238680,238680,"exact",238680,238680],[1,18,"u","(11,4,3)",228480,228480,"exact",228480,228480],[1,18,"u","(11,4,2,1)",583440,583440,"exact",583440,583440],[1,18,"u","(11,4,1,1,1)",339456,339456,"exact",339456,339456],[1,18,"u","(11,3,3,1)",358020,358020,"exact",358020,358020],[1,18,"u","(11,3,2,2)",363528,363528,"exact",363528,363528],[1,18,"u","(11,3,2,1,1)",612612,612612,"exact",612612,612612],[1,18,"u","(11,3,1,1,1,1)",268515,268515,"exact",268515,268515],[1,18,"u","(11,2,2,2,1)",251328,251328,"exact",251328,251328],[1,18,"u","(11,2,2,1,1,1)",255255,255255,"exact",255255,255255],[1,18,"u","(11,2,1,1,1,1,1)",112320,112320,"exact",112320,112320],[1,18,"u","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[1,18,"u","(10,8)",11934,11934,"exact",11934,11934],[1,18,"u","(10,7,1)",102102,102102,"exact",102102,102102],[1,18,"u","(10,6,2)",331500,331500,"exact",331500,331500],[1,18,"u","(10,6,1,1)",353430,353430,"exact",353430,353430],[1,18,"u","(10,5,3)",501228,501228,"exact",501228,501228],[1,18,"u","(10,5,2,1)",1175040,1175040,"exact",1175040,1175040],[1,18,"u","(10,5,1,1,1)",656370,656370,"exact",656370,656370],[1,18,"u","(10,4,4)",259896,259896,"exact",259896,259896],[1,18,"u","(10,4,3,1)",1349460,1349460,"exact",1349460,1349460],[1,18,"u","(10,4,2,2)",1099560,1099560,"exact",1099560,1099560],[1,18,"u","(10,4,2,1,1)",1790100,1790100,"exact",1790100,1790100],[1,18,"u","(10,4,1,1,1,1)",714714,714714,"exact",714714,714714],[1,18,"u","(10,3,3,2)",848232,848232,"exact",848232,848232],[1,18,"u","(10,3,3,1,1)",1145664,1145664,"exact",1145664,1145664],[1,18,"u","(10,3,2,2,1)",1458600,1458600,"exact",1458600,1458600],[1,18,"u","(10,3,2,1,1,1)",1357824,1357824,"exact",1357824,1357824],[1,18,"u","(10,3,1,1,1,1,1)",459459,459459,"exact",459459,459459],[1,18,"u","(10,2,2,2,2)",302940,302940,"exact",302940,302940],[1,18,"u","(10,2,2,2,1,1)",612612,612612,"exact",612612,612612],[1,18,"u","(10,2,2,1,1,1,1)",447525,447525,"exact",447525,447525],[1,18,"u","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[1,18,"u","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[1,18,"u","(9,9)",4862,4862,"exact",4862,4862],[1,18,"u","(9,8,1)",70720,70720,"exact",70720,70720],[1,18,"u","(9,7,2)",322218,322218,"exact",322218,322218],[1,18,"u","(9,7,1,1)",340340,340340,"exact",340340,340340],[1,18,"u","(9,6,3)",678912,678912,"exact",678912,678912],[1,18,"u","(9,6,2,1)",1531530,1531530,"exact",1531530,1531530],[1,18,"u","(9,6,1,1,1)",837760,837760,"exact",837760,837760],[1,18,"u","(9,5,4)",649740,649740,"exact",649740,649740],[1,18,"u","(9,5,3,1)",2625480,2625480,"exact",2625480,2625480],[1,18,"u","(9,5,2,2)",1989000,1989000,"exact",1989000,1989000],[1,18,"u","(9,5,2,1,1)",3180870,3180870,"exact",3180870,3180870],[1,18,"u","(9,5,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[1,18,"u","(9,4,4,1)",1429428,1429428,"exact",1429428,1429428],[1,18,"u","(9,4,3,2)",2970240,2970240,"exact",2970240,2970240],[1,18,"u","(9,4,3,1,1)",3877632,3877632,"exact",3877632,3877632],[1,18,"u","(9,4,2,2,1)",3965760,3965760,"exact",3965760,3965760],[1,18,"u","(9,4,2,1,1,1)",3544398,3544398,"exact",3544398,3544398],[1,18,"u","(9,4,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,18,"u","(9,3,3,3)",779688,779688,"exact",779688,779688],[1,18,"u","(9,3,3,2,1)",3198720,3198720,"exact",3198720,3198720],[1,18,"u","(9,3,3,1,1,1)",2333760,2333760,"exact",2333760,2333760],[1,18,"u","(9,3,2,2,2)",1649340,1649340,"exact",1649340,1649340],[1,18,"u","(9,3,2,2,1,1)",3222180,3222180,"exact",3222180,3222180],[1,18,"u","(9,3,2,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[1,18,"u","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[1,18,"u","(9,2,2,2,2,1)",875160,875160,"exact",875160,875160],[1,18,"u","(9,2,2,2,1,1,1)",1018368,1018368,"exact",1018368,1018368],[1,18,"u","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[1,18,"u","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[1,18,"u","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[1,18,"u","(8,8,2)",136136,136136,"exact",136136,136136],[1,18,"u","(8,8,1,1)",143208,143208,"exact",143208,143208],[1,18,"u","(8,7,3)",510510,510510,"exact",510510,510510],[1,18,"u","(8,7,2,1)",1131520,1131520,"exact",1131520,1131520],[1,18,"u","(8,7,1,1,1)",612612,612612,"exact",612612,612612],[1,18,"u","(8,6,4)",787644,787644,"exact",787644,787644],[1,18,"u","(8,6,3,1)",2923830,2923830,"exact",2923830,2923830],[1,18,"u","(8,6,2,2)",2148120,2148120,"exact",2148120,2148120],[1,18,"u","(8,6,2,1,1)",3403400,3403400,"exact",3403400,3403400],[1,18,"u","(8,6,1,1,1,1)",1272348,1272348,"exact",1272348,1272348],[1,18,"u","(8,5,5)",408408,408408,"exact",408408,408408],[1,18,"u","(8,5,4,1)",3055104,3055104,"exact",3055104,3055104],[1,18,"u","(8,5,3,2)",5012280,5012280,"exact",5012280,5012280],[1,18,"u","(8,5,3,1,1)",6432426,6432426,"exact",6432426,6432426],[1,18,"u","(8,5,2,2,1)",6126120,6126120,"exact",6126120,6126120],[1,18,"u","(8,5,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[1,18,"u","(8,5,1,1,1,1,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"u","(8,4,4,2)",3007368,3007368,"exact",3007368,3007368],[1,18,"u","(8,4,4,1,1)",3646500,3646500,"exact",3646500,3646500],[1,18,"u","(8,4,3,3)",2598960,2598960,"exact",2598960,2598960],[1,18,"u","(8,4,3,2,1)",9801792,9801792,"exact",9801792,9801792],[1,18,"u","(8,4,3,1,1,1)",6872250,6872250,"exact",6872250,6872250],[1,18,"u","(8,4,2,2,2)",3978000,3978000,"exact",3978000,3978000],[1,18,"u","(8,4,2,2,1,1)",7634088,7634088,"exact",7634088,7634088],[1,18,"u","(8,4,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[1,18,"u","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[1,18,"u","(8,3,3,3,1)",2858856,2858856,"exact",2858856,2858856],[1,18,"u","(8,3,3,2,2)",3508596,3508596,"exact",3508596,3508596],[1,18,"u","(8,3,3,2,1,1)",6361740,6361740,"exact",6361740,6361740],[1,18,"u","(8,3,3,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[1,18,"u","(8,3,2,2,2,1)",4230144,4230144,"exact",4230144,4230144],[1,18,"u","(8,3,2,2,1,1,1)",4725864,4725864,"exact",4725864,4725864],[1,18,"u","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[1,18,"u","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[1,18,"u","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[1,18,"u","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[1,18,"u","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[1,18,"u","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[1,18,"u","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[1,18,"u","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[1,18,"u","(7,7,4)",364650,364650,"exact",364650,364650],[1,18,"u","(7,7,3,1)",1312740,1312740,"exact",1312740,1312740],[1,18,"u","(7,7,2,2)",952952,952952,"exact",952952,952952],[1,18,"u","(7,7,2,1,1)",1503684,1503684,"exact",1503684,1503684],[1,18,"u","(7,7,1,1,1,1)",556920,556920,"exact",556920,556920],[1,18,"u","(7,6,5)",466752,466752,"exact",466752,466752],[1,18,"u","(7,6,4,1)",2756754,2756754,"exact",2756754,2756754],[1,18,"u","(7,6,3,2)",4200768,4200768,"exact",4200768,4200768],[1,18,"u","(7,6,3,1,1)",5346432,5346432,"exact",5346432,5346432],[1,18,"u","(7,6,2,2,1)",4950400,4950400,"exact",4950400,4950400],[1,18,"u","(7,6,2,1,1,1)",4288284,4288284,"exact",4288284,4288284],[1,18,"u","(7,6,1,1,1,1,1)",1233792,1233792,"exact",1233792,1233792],[1,18,"u","(7,5,5,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"u","(7,5,4,2)",5250960,5250960,"exact",5250960,5250960],[1,18,"u","(7,5,4,1,1)",6265350,6265350,"exact",6265350,6265350],[1,18,"u","(7,5,3,3)",3675672,3675672,"exact",3675672,3675672],[1,18,"u","(7,5,3,2,1)",13366080,13366080,"exact",13366080,13366080],[1,18,"u","(7,5,3,1,1,1)",9189180,9189180,"exact",9189180,9189180],[1,18,"u","(7,5,2,2,2)",5012280,5012280,"exact",5012280,5012280],[1,18,"u","(7,5,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[1,18,"u","(7,5,2,1,1,1,1)",5937624,5937624,"exact",5937624,5937624],[1,18,"u","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[1,18,"u","(7,4,4,3)",2858856,2858856,"exact",2858856,2858856],[1,18,"u","(7,4,4,2,1)",8486400,8486400,"exact",8486400,8486400],[1,18,"u","(7,4,4,1,1,1)",5469750,5469750,"exact",5469750,5469750],[1,18,"u","(7,4,3,3,1)",8019648,8019648,"exact",8019648,8019648],[1,18,"u","(7,4,3,2,2)",9165312,9165312,"exact",9165312,9165312],[1,18,"u","(7,4,3,2,1,1)",16336320,16336320,"exact",16336320,16336320],[1,18,"u","(7,4,3,1,1,1,1)",8078400,8078400,"exact",8078400,8078400],[1,18,"u","(7,4,2,2,2,1)",8576568,8576568,"exact",8576568,8576568],[1,18,"u","(7,4,2,2,1,1,1)",9382912,9382912,"exact",9382912,9382912],[1,18,"u","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[1,18,"u","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[1,18,"u","(7,3,3,3,2)",3508596,3508596,"exact",3508596,3508596],[1,18,"u","(7,3,3,3,1,1)",5105100,5105100,"exact",5105100,5105100],[1,18,"u","(7,3,3,2,2,1)",7876440,7876440,"exact",7876440,7876440],[1,18,"u","(7,3,3,2,1,1,1)",8078400,8078400,"exact",8078400,8078400],[1,18,"u","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[1,18,"u","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[1,18,"u","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[1,18,"u","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[1,18,"u","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[1,18,"u","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[1,18,"u","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[1,18,"u","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"u","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[1,18,"u","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[1,18,"u","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[1,18,"u","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[1,18,"u","(6,6,6)",87516,87516,"exact",87516,87516],[1,18,"u","(6,6,5,1)",1021020,1021020,"exact",1021020,1021020],[1,18,"u","(6,6,4,2)",2756754,2756754,"exact",2756754,2756754],[1,18,"u","(6,6,4,1,1)",3267264,3267264,"exact",3267264,3267264],[1,18,"u","(6,6,3,3)",1823250,1823250,"exact",1823250,1823250],[1,18,"u","(6,6,3,2,1)",6534528,6534528,"exact",6534528,6534528],[1,18,"u","(6,6,3,1,1,1)",4455360,4455360,"exact",4455360,4455360],[1,18,"u","(6,6,2,2,2)",2382380,2382380,"exact",2382380,2382380],[1,18,"u","(6,6,2,2,1,1)",4511052,4511052,"exact",4511052,4511052],[1,18,"u","(6,6,2,1,1,1,1)",2784600,2784600,"exact",2784600,2784600],[1,18,"u","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[1,18,"u","(6,5,5,2)",2042040,2042040,"exact",2042040,2042040],[1,18,"u","(6,5,5,1,1)",2362932,2362932,"exact",2362932,2362932],[1,18,"u","(6,5,4,3)",3734016,3734016,"exact",3734016,3734016],[1,18,"u","(6,5,4,2,1)",10720710,10720710,"exact",10720710,10720710],[1,18,"u","(6,5,4,1,1,1)",6789120,6789120,"exact",6789120,6789120],[1,18,"u","(6,5,3,3,1)",8270262,8270262,"exact",8270262,8270262],[1,18,"u","(6,5,3,2,2)",9189180,9189180,"exact",9189180,9189180],[1,18,"u","(6,5,3,2,1,1)",16243500,16243500,"exact",16243500,16243500],[1,18,"u","(6,5,3,1,1,1,1)",7876440,7876440,"exact",7876440,7876440],[1,18,"u","(6,5,2,2,2,1)",7920640,7920640,"exact",7920640,7920640],[1,18,"u","(6,5,2,2,1,1,1)",8576568,8576568,"exact",8576568,8576568],[1,18,"u","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[1,18,"u","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[1,18,"u","(6,4,4,4)",1021020,1021020,"exact",1021020,1021020],[1,18,"u","(6,4,4,3,1)",7088796,7088796,"exact",7088796,7088796],[1,18,"u","(6,4,4,2,2)",6534528,6534528,"exact",6534528,6534528],[1,18,"u","(6,4,4,2,1,1)",11277630,11277630,"exact",11277630,11277630],[1,18,"u","(6,4,4,1,1,1,1)",5105100,5105100,"exact",5105100,5105100],[1,18,"u","(6,4,3,3,2)",7876440,7876440,"exact",7876440,7876440],[1,18,"u","(6,4,3,3,1,1)",11277630,11277630,"exact",11277630,11277630],[1,18,"u","(6,4,3,2,2,1)",16243500,16243500,"exact",16243500,16243500],[1,18,"u","(6,4,3,2,1,1,1)",16336320,16336320,"exact",16336320,16336320],[1,18,"u","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[1,18,"u","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[1,18,"u","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[1,18,"u","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[1,18,"u","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[1,18,"u","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[1,18,"u","(6,3,3,3,3)",1429428,1429428,"exact",1429428,1429428],[1,18,"u","(6,3,3,3,2,1)",6789120,6789120,"exact",6789120,6789120],[1,18,"u","(6,3,3,3,1,1,1)",5469750,5469750,"exact",5469750,5469750],[1,18,"u","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[1,18,"u","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[1,18,"u","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[1,18,"u","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[1,18,"u","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[1,18,"u","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[1,18,"u","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[1,18,"u","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[1,18,"u","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[1,18,"u","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[1,18,"u","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[1,18,"u","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[1,18,"u","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[1,18,"u","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[1,18,"u","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[1,18,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[1,18,"u","(5,5,5,3)",875160,875160,"exact",875160,875160],[1,18,"u","(5,5,5,2,1)",2333760,2333760,"exact",2333760,2333760],[1,18,"u","(5,5,5,1,1,1)",1429428,1429428,"exact",1429428,1429428],[1,18,"u","(5,5,4,4)",787644,787644,"exact",787644,787644],[1,18,"u","(5,5,4,3,1)",5105100,5105100,"exact",5105100,5105100],[1,18,"u","(5,5,4,2,2)",4594590,4594590,"exact",4594590,4594590],[1,18,"u","(5,5,4,2,1,1)",7876440,7876440,"exact",7876440,7876440],[1,18,"u","(5,5,4,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[1,18,"u","(5,5,3,3,2)",4594590,4594590,"exact",4594590,4594590],[1,18,"u","(5,5,3,3,1,1)",6534528,6534528,"exact",6534528,6534528],[1,18,"u","(5,5,3,2,2,1)",9189180,9189180,"exact",9189180,9189180],[1,18,"u","(5,5,3,2,1,1,1)",9165312,9165312,"exact",9165312,9165312],[1,18,"u","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[1,18,"u","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[1,18,"u","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[1,18,"u","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[1,18,"u","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[1,18,"u","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[1,18,"u","(5,4,4,4,1)",1867008,1867008,"exact",1867008,1867008],[1,18,"u","(5,4,4,3,2)",5105100,5105100,"exact",5105100,5105100],[1,18,"u","(5,4,4,3,1,1)",7088796,7088796,"exact",7088796,7088796],[1,18,"u","(5,4,4,2,2,1)",8270262,8270262,"exact",8270262,8270262],[1,18,"u","(5,4,4,2,1,1,1)",8019648,8019648,"exact",8019648,8019648],[1,18,"u","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[1,18,"u","(5,4,3,3,3)",2333760,2333760,"exact",2333760,2333760],[1,18,"u","(5,4,3,3,2,1)",10720710,10720710,"exact",10720710,10720710],[1,18,"u","(5,4,3,3,1,1,1)",8486400,8486400,"exact",8486400,8486400],[1,18,"u","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[1,18,"u","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[1,18,"u","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[1,18,"u","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[1,18,"u","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[1,18,"u","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[1,18,"u","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[1,18,"u","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[1,18,"u","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[1,18,"u","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[1,18,"u","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[1,18,"u","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[1,18,"u","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[1,18,"u","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[1,18,"u","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[1,18,"u","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[1,18,"u","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[1,18,"u","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[1,18,"u","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[1,18,"u","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[1,18,"u","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[1,18,"u","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[1,18,"u","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[1,18,"u","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[1,18,"u","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[1,18,"u","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[1,18,"u","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[1,18,"u","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[1,18,"u","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[1,18,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[1,18,"u","(4,4,4,4,2)",787644,787644,"exact",787644,787644],[1,18,"u","(4,4,4,4,1,1)",1021020,1021020,"exact",1021020,1021020],[1,18,"u","(4,4,4,3,3)",875160,875160,"exact",875160,875160],[1,18,"u","(4,4,4,3,2,1)",3734016,3734016,"exact",3734016,3734016],[1,18,"u","(4,4,4,3,1,1,1)",2858856,2858856,"exact",2858856,2858856],[1,18,"u","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[1,18,"u","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[1,18,"u","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[1,18,"u","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[1,18,"u","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[1,18,"u","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[1,18,"u","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[1,18,"u","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[1,18,"u","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[1,18,"u","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[1,18,"u","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[1,18,"u","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[1,18,"u","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[1,18,"u","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[1,18,"u","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[1,18,"u","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[1,18,"u","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[1,18,"u","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[1,18,"u","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[1,18,"u","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[1,18,"u","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[1,18,"u","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[1,18,"u","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[1,18,"u","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[1,18,"u","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[1,18,"u","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[1,18,"u","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[1,18,"u","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[1,18,"u","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[1,18,"u","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[1,18,"u","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[1,18,"u","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[1,18,"u","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[1,18,"u","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[1,18,"u","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[1,18,"u","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[1,18,"u","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[1,18,"u","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[1,18,"u","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[1,18,"u","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[1,18,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[1,18,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[1,18,"u","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[1,18,"u","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[1,18,"u","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[1,18,"u","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[1,18,"u","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[1,18,"u","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[1,18,"u","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[1,18,"u","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[1,18,"u","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[1,18,"u","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[1,18,"u","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[1,18,"u","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[1,18,"u","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[1,18,"u","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[1,18,"u","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[1,18,"u","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[1,18,"u","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[1,18,"u","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[1,18,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[1,18,"u","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[1,18,"u","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[1,18,"u","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[1,18,"u","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[1,18,"u","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[1,18,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[1,18,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[1,18,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[1,18,"u","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[1,18,"u","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[1,18,"u","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[1,18,"u","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[1,18,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[1,18,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[1,18,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[1,18,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[1,18,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[1,18,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,19,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,19,"u","(10,9)",16796,16796,"exact",16796,16796],[1,19,"u","(13,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[1,19,"u","(13,6)",15504,15504,"exact",15504,15504],[1,19,"u","(14,1,1,1,1,1)",8568,8568,"exact",8568,8568],[1,19,"u","(14,5)",7752,7752,"exact",7752,7752],[1,19,"u","(15,1,1,1,1)",3060,3060,"exact",3060,3060],[1,19,"u","(15,2,1,1)",9044,9044,"exact",9044,9044],[1,19,"u","(15,2,2)",5985,5985,"exact",5985,5985],[1,19,"u","(15,3,1)",8892,8892,"exact",8892,8892],[1,19,"u","(15,4)",2907,2907,"exact",2907,2907],[1,19,"u","(16,1,1,1)",816,816,"exact",816,816],[1,19,"u","(16,2,1)",1615,1615,"exact",1615,1615],[1,19,"u","(16,3)",798,798,"exact",798,798],[1,19,"u","(17,1,1)",153,153,"exact",153,153],[1,19,"u","(17,2)",152,152,"exact",152,152],[1,19,"u","(18,1)",18,18,"exact",18,18],[1,19,"u","(19)",1,0,"exact",0,0],[1,19,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[1,19,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",152,152,"exact",152,152],[1,19,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",798,798,"exact",798,798],[1,19,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",2907,2907,"exact",2907,2907],[1,19,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1)",7752,7752,"exact",7752,7752],[1,19,"u","(2,2,2,2,2,2,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[1,19,"u","(2,2,2,2,2,2,2,2,2,1)",16796,16796,"exact",16796,16796],[1,19,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[1,19,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1615,1615,"exact",1615,1615],[1,19,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",8892,8892,"exact",8892,8892],[1,19,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[1,19,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",816,816,"exact",816,816],[1,19,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",9044,9044,"exact",9044,9044],[1,19,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3060,3060,"exact",3060,3060],[1,19,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1)",8568,8568,"exact",8568,8568],[1,19,"u","(7,1,1,1,1,1,1,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[1,20,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,20,"u","(10,10)",16796,16796,"exact",16796,16796],[1,20,"u","(15,1,1,1,1,1)",11628,11628,"exact",11628,11628],[1,20,"u","(15,5)",10659,10659,"exact",10659,10659],[1,20,"u","(16,1,1,1,1)",3876,3876,"exact",3876,3876],[1,20,"u","(16,2,1,1)",11475,11475,"exact",11475,11475],[1,20,"u","(16,2,2)",7600,7600,"exact",7600,7600],[1,20,"u","(16,3,1)",11305,11305,"exact",11305,11305],[1,20,"u","(16,4)",3705,3705,"exact",3705,3705],[1,20,"u","(17,1,1,1)",969,969,"exact",969,969],[1,20,"u","(17,2,1)",1920,1920,"exact",1920,1920],[1,20,"u","(17,3)",950,950,"exact",950,950],[1,20,"u","(18,1,1)",171,171,"exact",171,171],[1,20,"u","(18,2)",170,170,"exact",170,170],[1,20,"u","(19,1)",19,19,"exact",19,19],[1,20,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[1,20,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",170,170,"exact",170,170],[1,20,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",950,950,"exact",950,950],[1,20,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",3705,3705,"exact",3705,3705],[1,20,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1)",10659,10659,"exact",10659,10659],[1,20,"u","(2,2,2,2,2,2,2,2,2,2)",16796,16796,"exact",16796,16796],[1,20,"u","(20)",1,0,"exact",0,0],[1,20,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",171,171,"exact",171,171],[1,20,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1920,1920,"exact",1920,1920],[1,20,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",11305,11305,"exact",11305,11305],[1,20,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7600,7600,"exact",7600,7600],[1,20,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",969,969,"exact",969,969],[1,20,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11475,11475,"exact",11475,11475],[1,20,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3876,3876,"exact",3876,3876],[1,20,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11628,11628,"exact",11628,11628],[1,21,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,21,"u","(16,1,1,1,1,1)",15504,15504,"exact",15504,15504],[1,21,"u","(16,5)",14364,14364,"exact",14364,14364],[1,21,"u","(17,1,1,1,1)",4845,4845,"exact",4845,4845],[1,21,"u","(17,2,1,1)",14364,14364,"exact",14364,14364],[1,21,"u","(17,2,2)",9520,9520,"exact",9520,9520],[1,21,"u","(17,3,1)",14175,14175,"exact",14175,14175],[1,21,"u","(17,4)",4655,4655,"exact",4655,4655],[1,21,"u","(18,1,1,1)",1140,1140,"exact",1140,1140],[1,21,"u","(18,2,1)",2261,2261,"exact",2261,2261],[1,21,"u","(18,3)",1120,1120,"exact",1120,1120],[1,21,"u","(19,1,1)",190,190,"exact",190,190],[1,21,"u","(19,2)",189,189,"exact",189,189],[1,21,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",20,20,"exact",20,20],[1,21,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",189,189,"exact",189,189],[1,21,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1120,1120,"exact",1120,1120],[1,21,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",4655,4655,"exact",4655,4655],[1,21,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[1,21,"u","(20,1)",20,20,"exact",20,20],[1,21,"u","(21)",1,0,"exact",0,0],[1,21,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",190,190,"exact",190,190],[1,21,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2261,2261,"exact",2261,2261],[1,21,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14175,14175,"exact",14175,14175],[1,21,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",9520,9520,"exact",9520,9520],[1,21,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1140,1140,"exact",1140,1140],[1,21,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[1,21,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4845,4845,"exact",4845,4845],[1,21,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[1,22,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,22,"u","(17,5)",19019,19019,"exact",19019,19019],[1,22,"u","(18,1,1,1,1)",5985,5985,"exact",5985,5985],[1,22,"u","(18,2,1,1)",17765,17765,"exact",17765,17765],[1,22,"u","(18,2,2)",11781,11781,"exact",11781,11781],[1,22,"u","(18,3,1)",17556,17556,"exact",17556,17556],[1,22,"u","(18,4)",5775,5775,"exact",5775,5775],[1,22,"u","(19,1,1,1)",1330,1330,"exact",1330,1330],[1,22,"u","(19,2,1)",2640,2640,"exact",2640,2640],[1,22,"u","(19,3)",1309,1309,"exact",1309,1309],[1,22,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",21,21,"exact",21,21],[1,22,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",209,209,"exact",209,209],[1,22,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1309,1309,"exact",1309,1309],[1,22,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5775,5775,"exact",5775,5775],[1,22,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",19019,19019,"exact",19019,19019],[1,22,"u","(20,1,1)",210,210,"exact",210,210],[1,22,"u","(20,2)",209,209,"exact",209,209],[1,22,"u","(21,1)",21,21,"exact",21,21],[1,22,"u","(22)",1,0,"exact",0,0],[1,22,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",210,210,"exact",210,210],[1,22,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[1,22,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17556,17556,"exact",17556,17556],[1,22,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11781,11781,"exact",11781,11781],[1,22,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1330,1330,"exact",1330,1330],[1,22,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17765,17765,"exact",17765,17765],[1,22,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[1,23,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,23,"u","(19,1,1,1,1)",7315,7315,"exact",7315,7315],[1,23,"u","(19,2,2)",14421,14421,"exact",14421,14421],[1,23,"u","(19,4)",7084,7084,"exact",7084,7084],[1,23,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",22,22,"exact",22,22],[1,23,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",230,230,"exact",230,230],[1,23,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1518,1518,"exact",1518,1518],[1,23,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7084,7084,"exact",7084,7084],[1,23,"u","(20,1,1,1)",1540,1540,"exact",1540,1540],[1,23,"u","(20,2,1)",3059,3059,"exact",3059,3059],[1,23,"u","(20,3)",1518,1518,"exact",1518,1518],[1,23,"u","(21,1,1)",231,231,"exact",231,231],[1,23,"u","(21,2)",230,230,"exact",230,230],[1,23,"u","(22,1)",22,22,"exact",22,22],[1,23,"u","(23)",1,0,"exact",0,0],[1,23,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",231,231,"exact",231,231],[1,23,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3059,3059,"exact",3059,3059],[1,23,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14421,14421,"exact",14421,14421],[1,23,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1540,1540,"exact",1540,1540],[1,23,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7315,7315,"exact",7315,7315],[1,24,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,24,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",23,23,"exact",23,23],[1,24,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",252,252,"exact",252,252],[1,24,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1748,1748,"exact",1748,1748],[1,24,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8602,8602,"exact",8602,8602],[1,24,"u","(20,1,1,1,1)",8855,8855,"exact",8855,8855],[1,24,"u","(20,2,2)",17480,17480,"exact",17480,17480],[1,24,"u","(20,4)",8602,8602,"exact",8602,8602],[1,24,"u","(21,1,1,1)",1771,1771,"exact",1771,1771],[1,24,"u","(21,2,1)",3520,3520,"exact",3520,3520],[1,24,"u","(21,3)",1748,1748,"exact",1748,1748],[1,24,"u","(22,1,1)",253,253,"exact",253,253],[1,24,"u","(22,2)",252,252,"exact",252,252],[1,24,"u","(23,1)",23,23,"exact",23,23],[1,24,"u","(24)",1,0,"exact",0,0],[1,24,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",253,253,"exact",253,253],[1,24,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3520,3520,"exact",3520,3520],[1,24,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17480,17480,"exact",17480,17480],[1,24,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1771,1771,"exact",1771,1771],[1,24,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8855,8855,"exact",8855,8855],[1,25,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,25,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",24,24,"exact",24,24],[1,25,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",275,275,"exact",275,275],[1,25,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2000,2000,"exact",2000,2000],[1,25,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10350,10350,"exact",10350,10350],[1,25,"u","(21,1,1,1,1)",10626,10626,"exact",10626,10626],[1,25,"u","(21,4)",10350,10350,"exact",10350,10350],[1,25,"u","(22,1,1,1)",2024,2024,"exact",2024,2024],[1,25,"u","(22,2,1)",4025,4025,"exact",4025,4025],[1,25,"u","(22,3)",2000,2000,"exact",2000,2000],[1,25,"u","(23,1,1)",276,276,"exact",276,276],[1,25,"u","(23,2)",275,275,"exact",275,275],[1,25,"u","(24,1)",24,24,"exact",24,24],[1,25,"u","(25)",1,0,"exact",0,0],[1,25,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",276,276,"exact",276,276],[1,25,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4025,4025,"exact",4025,4025],[1,25,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2024,2024,"exact",2024,2024],[1,25,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10626,10626,"exact",10626,10626],[1,26,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,26,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",25,25,"exact",25,25],[1,26,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",299,299,"exact",299,299],[1,26,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2275,2275,"exact",2275,2275],[1,26,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12350,12350,"exact",12350,12350],[1,26,"u","(22,1,1,1,1)",12650,12650,"exact",12650,12650],[1,26,"u","(22,4)",12350,12350,"exact",12350,12350],[1,26,"u","(23,1,1,1)",2300,2300,"exact",2300,2300],[1,26,"u","(23,2,1)",4576,4576,"exact",4576,4576],[1,26,"u","(23,3)",2275,2275,"exact",2275,2275],[1,26,"u","(24,1,1)",300,300,"exact",300,300],[1,26,"u","(24,2)",299,299,"exact",299,299],[1,26,"u","(25,1)",25,25,"exact",25,25],[1,26,"u","(26)",1,0,"exact",0,0],[1,26,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",300,300,"exact",300,300],[1,26,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4576,4576,"exact",4576,4576],[1,26,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2300,2300,"exact",2300,2300],[1,26,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12650,12650,"exact",12650,12650],[1,27,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,27,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",26,26,"exact",26,26],[1,27,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",324,324,"exact",324,324],[1,27,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2574,2574,"exact",2574,2574],[1,27,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14625,14625,"exact",14625,14625],[1,27,"u","(23,1,1,1,1)",14950,14950,"exact",14950,14950],[1,27,"u","(23,4)",14625,14625,"exact",14625,14625],[1,27,"u","(24,1,1,1)",2600,2600,"exact",2600,2600],[1,27,"u","(24,2,1)",5175,5175,"exact",5175,5175],[1,27,"u","(24,3)",2574,2574,"exact",2574,2574],[1,27,"u","(25,1,1)",325,325,"exact",325,325],[1,27,"u","(25,2)",324,324,"exact",324,324],[1,27,"u","(26,1)",26,26,"exact",26,26],[1,27,"u","(27)",1,0,"exact",0,0],[1,27,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",325,325,"exact",325,325],[1,27,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5175,5175,"exact",5175,5175],[1,27,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2600,2600,"exact",2600,2600],[1,27,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14950,14950,"exact",14950,14950],[1,28,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,28,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",27,27,"exact",27,27],[1,28,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[1,28,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2898,2898,"exact",2898,2898],[1,28,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17199,17199,"exact",17199,17199],[1,28,"u","(24,1,1,1,1)",17550,17550,"exact",17550,17550],[1,28,"u","(24,4)",17199,17199,"exact",17199,17199],[1,28,"u","(25,1,1,1)",2925,2925,"exact",2925,2925],[1,28,"u","(25,2,1)",5824,5824,"exact",5824,5824],[1,28,"u","(25,3)",2898,2898,"exact",2898,2898],[1,28,"u","(26,1,1)",351,351,"exact",351,351],[1,28,"u","(26,2)",350,350,"exact",350,350],[1,28,"u","(27,1)",27,27,"exact",27,27],[1,28,"u","(28)",1,0,"exact",0,0],[1,28,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",351,351,"exact",351,351],[1,28,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5824,5824,"exact",5824,5824],[1,28,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[1,28,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17550,17550,"exact",17550,17550],[1,29,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,29,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",28,28,"exact",28,28],[1,29,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",377,377,"exact",377,377],[1,29,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3248,3248,"exact",3248,3248],[1,29,"u","(26,1,1,1)",3276,3276,"exact",3276,3276],[1,29,"u","(26,2,1)",6525,6525,"exact",6525,6525],[1,29,"u","(26,3)",3248,3248,"exact",3248,3248],[1,29,"u","(27,1,1)",378,378,"exact",378,378],[1,29,"u","(27,2)",377,377,"exact",377,377],[1,29,"u","(28,1)",28,28,"exact",28,28],[1,29,"u","(29)",1,0,"exact",0,0],[1,29,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",378,378,"exact",378,378],[1,29,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",6525,6525,"exact",6525,6525],[1,29,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3276,3276,"exact",3276,3276],[1,30,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,30,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",29,29,"exact",29,29],[1,30,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",405,405,"exact",405,405],[1,30,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3625,3625,"exact",3625,3625],[1,30,"u","(27,1,1,1)",3654,3654,"exact",3654,3654],[1,30,"u","(27,2,1)",7280,7280,"exact",7280,7280],[1,30,"u","(27,3)",3625,3625,"exact",3625,3625],[1,30,"u","(28,1,1)",406,406,"exact",406,406],[1,30,"u","(28,2)",405,405,"exact",405,405],[1,30,"u","(29,1)",29,29,"exact",29,29],[1,30,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",406,406,"exact",406,406],[1,30,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7280,7280,"exact",7280,7280],[1,30,"u","(30)",1,0,"exact",0,0],[1,30,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3654,3654,"exact",3654,3654],[1,31,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[1,31,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",30,30,"exact",30,30],[1,31,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",434,434,"exact",434,434],[1,31,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4030,4030,"exact",4030,4030],[1,31,"u","(28,1,1,1)",4060,4060,"exact",4060,4060],[1,31,"u","(28,2,1)",8091,8091,"exact",8091,8091],[1,31,"u","(28,3)",4030,4030,"exact",4030,4030],[1,31,"u","(29,1,1)",435,435,"exact",435,435],[1,31,"u","(29,2)",434,434,"exact",434,434],[1,31,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",435,435,"exact",435,435],[1,31,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8091,8091,"exact",8091,8091],[1,31,"u","(30,1)",30,30,"exact",30,30],[1,31,"u","(31)",1,0,"exact",0,0],[1,31,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4060,4060,"exact",4060,4060],[2,4,"c","(2,2)",2,1,"exact",1,1],[2,5,"c","(2,2,1)",5,1,"exact",1,1],[2,5,"c","(3,2)",5,1,"exact",1,1],[2,5,"c","(3,1,1)",6,1,"exact",1,1],[2,6,"c","(2,2,2)",5,2,"exact",2,2],[2,6,"c","(4,2)",9,2,"exact",2,2],[2,6,"c","(3,1,1,1)",10,1,"exact",1,1],[2,6,"c","(4,1,1)",10,1,"exact",1,1],[2,6,"c","(3,2,1)",16,2,"exact",2,2],[2,7,"c","(2,2,2,1)",14,1,"exact",1,1],[2,7,"c","(4,1,1,1)",20,1,"exact",1,1],[2,7,"c","(3,2,1,1)",35,1,"exact",1,1],[2,7,"c","(4,3)",14,1,"exact",1,1],[2,7,"c","(3,2,2)",21,2,"exact",2,2],[2,7,"c","(3,3,1)",21,2,"exact",2,2],[2,7,"c","(5,2)",14,2,"exact",2,2],[2,7,"c","(5,1,1)",15,2,"exact",2,2],[2,7,"c","(4,2,1)",35,3,"exact",3,3],[2,8,"c","(2,2,2,2)",14,1,"exact",1,1],[2,8,"c","(3,3,1,1)",56,2,"exact",2,2],[2,8,"c","(4,4)",14,2,"exact",2,2],[2,8,"c","(5,1,1,1)",35,2,"exact",2,2],[2,8,"c","(3,2,2,1)",70,1,"exact",1,1],[2,8,"c","(3,3,2)",42,1,"exact",1,1],[2,8,"c","(4,2,1,1)",90,1,"exact",1,1],[2,8,"c","(5,3)",28,1,"exact",1,1],[2,8,"c","(4,2,2)",56,4,"exact",4,4],[2,8,"c","(6,2)",20,3,"exact",3,3],[2,8,"c","(6,1,1)",21,2,"exact",2,2],[2,8,"c","(4,3,1)",70,3,"exact",3,3],[2,8,"c","(5,2,1)",64,4,"exact",4,4],[2,9,"c","(3,2,2,2)",84,1,"exact",1,1],[2,9,"c","(3,3,3)",42,2,"exact",2,2],[2,9,"c","(3,3,2,1)",168,1,"exact",1,1],[2,9,"c","(6,1,1,1)",56,2,"exact",2,2],[2,9,"c","(4,2,2,1)",216,2,"exact",2,2],[2,9,"c","(4,3,1,1)",216,2,"exact",2,2],[2,9,"c","(5,4)",42,2,"exact",2,2],[2,9,"c","(4,4,1)",84,2,"exact",2,2],[2,9,"c","(5,2,1,1)",189,2,"exact",2,2],[2,9,"c","(7,2)",27,3,"exact",3,3],[2,9,"c","(6,3)",48,2,"exact",2,2],[2,9,"c","(5,2,2)",120,4,"exact",4,4],[2,9,"c","(4,3,2)",168,3,"exact",3,3],[2,9,"c","(7,1,1)",28,3,"exact",3,3],[2,9,"c","(5,3,1)",162,5,"exact",5,5],[2,9,"c","(6,2,1)",105,5,"exact",5,5],[2,10,"c","(8,2)",35,4,"exact",4,4],[2,10,"c","(8,1,1)",36,3,"exact",3,3],[2,10,"c","(7,3)",75,2,"exact",2,2],[2,10,"c","(7,1,1,1)",84,3,"exact",3,3],[2,10,"c","(6,4)",90,4,"exact",4,4],[2,10,"c","(7,2,1)",160,4,"lower bound",4,6],[2,10,"c","(4,3,3)",210,2,"exact",2,2],[2,10,"c","(6,2,2)",225,6,"exact",6,6],[2,10,"c","(3,3,3,1)",210,1,"lower bound",1,2],[2,10,"c","(5,4,1)",288,1,"lower bound",1,4],[2,10,"c","(4,2,2,2)",300,2,"exact",2,2],[2,10,"c","(6,3,1)",315,6,"exact",6,6],[2,10,"c","(6,2,1,1)",350,2,"exact",2,2],[2,10,"c","(5,3,2)",450,3,"lower bound",3,4],[2,10,"c","(5,2,2,1)",525,2,"exact",2,2],[2,10,"c","(5,3,1,1)",567,2,"lower bound",2,4],[2,10,"c","(4,3,2,1)",768,2,"exact",2,2],[2,11,"c","(9,2)",44,4,"exact",4,4],[2,11,"c","(9,1,1)",45,4,"exact",4,4],[2,11,"c","(8,3)",110,3,"exact",3,3],[2,11,"c","(8,1,1,1)",120,3,"exact",3,3],[2,11,"c","(6,5)",132,2,"exact",2,2],[2,11,"c","(7,4)",165,4,"exact",4,4],[2,11,"c","(8,2,1)",231,2,"lower bound",2,7],[2,11,"c","(5,5,1)",330,3,"exact",3,3],[2,11,"c","(7,2,2)",385,5,"lower bound",5,6],[2,11,"c","(3,3,3,2)",462,1,"exact",1,1],[2,11,"c","(7,3,1)",550,8,"exact",8,8],[2,11,"c","(7,2,1,1)",594,3,"exact",3,3],[2,11,"c","(6,4,1)",693,3,"lower bound",3,6],[2,11,"c","(5,4,2)",990,1,"lower bound",1,5],[2,11,"c","(5,3,3)",660,3,"lower bound",3,4],[2,11,"c","(6,3,2)",990,3,"lower bound",3,6],[2,11,"c","(5,2,2,2)",825,2,"exact",2,2],[2,11,"c","(6,2,2,1)",1100,3,"exact",3,3],[2,11,"c","(5,4,1,1)",1155,2,"exact",2,2],[2,11,"c","(4,3,3,1)",1188,1,"lower bound",1,2],[2,11,"c","(6,3,1,1)",1232,2,"lower bound",2,4],[2,11,"c","(4,4,2,1)",1320,2,"exact",2,2],[2,11,"c","(4,3,2,2)",1320,1,"exact",1,1],[2,11,"c","(5,3,2,1)",2310,3,"exact",3,3],[2,12,"c","(10,2)",54,5,"exact",5,5],[2,12,"c","(10,1,1)",55,4,"exact",4,4],[2,12,"c","(6,6)",132,3,"lower bound",3,7],[2,12,"c","(9,3)",154,3,"lower bound",3,5],[2,12,"c","(9,1,1,1)",165,4,"exact",4,4],[2,12,"c","(8,4)",275,6,"lower bound",6,11],[2,12,"c","(7,5)",297,2,"lower bound",2,7],[2,12,"c","(3,3,3,3)",462,1,"exact",1,1],[2,12,"c","(8,2,2)",616,6,"lower bound",6,13],[2,12,"c","(4,4,4)",462,1,"lower bound",1,6],[2,12,"c","(8,3,1)",891,9,"lower bound",9,49],[2,12,"c","(8,2,1,1)",945,3,"exact",3,3],[2,12,"c","(7,4,1)",1408,3,"lower bound",3,46],[2,12,"c","(5,5,1,1)",1485,3,"exact",3,3],[2,12,"c","(6,3,3)",1650,4,"lower bound",4,24],[2,12,"c","(6,2,2,2)",1925,3,"exact",3,3],[2,12,"c","(7,3,2)",1925,3,"lower bound",3,49],[2,12,"c","(7,2,2,1)",2079,3,"exact",3,3],[2,12,"c","(7,3,1,1)",2376,3,"lower bound",3,6],[2,12,"c","(5,4,3)",2112,3,"lower bound",3,26],[2,12,"c","(4,4,2,2)",2640,2,"exact",2,2],[2,12,"c","(6,4,2)",2673,2,"lower bound",2,48],[2,12,"c","(4,3,3,2)",2970,1,"exact",1,1],[2,12,"c","(6,4,1,1)",3080,2,"exact",2,2],[2,13,"c","(11,2)",65,5,"exact",5,5],[2,13,"c","(11,1,1)",66,5,"exact",5,5],[2,13,"c","(10,3)",208,4,"lower bound",4,5],[2,13,"c","(10,1,1,1)",220,4,"exact",4,4],[2,13,"c","(9,4)",429,6,"lower bound",6,11],[2,13,"c","(7,6)",429,3,"lower bound",3,16],[2,13,"c","(10,2,1)",429,3,"lower bound",3,10],[2,13,"c","(8,5)",572,4,"lower bound",4,16],[2,13,"c","(9,2,2)",936,5,"lower 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40,"exact",1540,1540],[2,11,"f","(5,3,2,1)",2310,2298,"exact",2298,2298],[2,11,"f","(5,3,3)",660,648,"exact",648,648],[2,11,"f","(5,4,1,1)",1155,1147,"exact",1147,1147],[2,11,"f","(5,4,2)",990,972,"exact",972,972],[2,11,"f","(5,5,1)",330,320,"exact",320,320],[2,11,"f","(6,1,1,1,1,1)",252,252,"exact",252,252],[2,11,"f","(6,2,1,1,1)",924,924,"exact",924,924],[2,11,"f","(6,2,2,1)",1100,1090,"exact",1090,1090],[2,11,"f","(6,3,1,1)",1232,1220,"exact",1220,1220],[2,11,"f","(6,3,2)",990,966,"exact",966,966],[2,11,"f","(6,4,1)",693,669,"exact",669,669],[2,11,"f","(6,5)",132,122,"exact",122,122],[2,11,"f","(7,1,1,1,1)",210,210,"exact",210,210],[2,11,"f","(7,2,1,1)",594,582,"exact",582,582],[2,11,"f","(7,2,2)",385,367,"exact",367,367],[2,11,"f","(7,3,1)",550,520,"exact",520,520],[2,11,"f","(7,4)",165,149,"exact",149,149],[2,11,"f","(8,1,1,1)",120,113,"exact",113,113],[2,11,"f","(8,2,1)",231,203,"exact",203,203],[2,11,"f","(8,3)",110,92,"exact",92,92],[2,11,"f","(9,1,1)",45,28,"exact",28,28],[2,11,"f","(9,2)",44,28,"exact",28,28],[2,11,"f","(10,1)",10,0,"exact",0,0],[2,11,"f","(11)",1,0,"exact",0,0],[2,12,"f","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,12,"f","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[2,12,"f","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[2,12,"f","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[2,12,"f","(2,2,2,2,1,1,1,1)",275,275,"exact",275,275],[2,12,"f","(2,2,2,2,2,1,1)",297,297,"exact",297,297],[2,12,"f","(2,2,2,2,2,2)",132,132,"exact",132,132],[2,12,"f","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[2,12,"f","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[2,12,"f","(3,2,2,1,1,1,1,1)",891,891,"exact",891,891],[2,12,"f","(3,2,2,2,1,1,1)",1408,1408,"exact",1408,1408],[2,12,"f","(3,2,2,2,2,1)",1155,1155,"exact",1155,1155],[2,12,"f","(3,3,1,1,1,1,1,1)",616,616,"exact",616,616],[2,12,"f","(3,3,2,1,1,1,1)",1925,1925,"exact",1925,1925],[2,12,"f","(3,3,2,2,1,1)",2673,2673,"exact",2673,2673],[2,12,"f","(3,3,2,2,2)",1320,1320,"exact",1320,1320],[2,12,"f","(3,3,3,1,1,1)",1650,1650,"exact",1650,1650],[2,12,"f","(3,3,3,2,1)",2112,2112,"exact",2112,2112],[2,12,"f","(3,3,3,3)",462,461,"exact",461,461],[2,12,"f","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[2,12,"f","(4,2,1,1,1,1,1,1)",945,945,"exact",945,945],[2,12,"f","(4,2,2,1,1,1,1)",2376,2376,"exact",2376,2376],[2,12,"f","(4,2,2,2,1,1)",3080,3080,"exact",3080,3080],[2,12,"f","(4,2,2,2,2)",1485,1485,"exact",1485,1485],[2,12,"f","(4,3,1,1,1,1,1)",2079,2079,"exact",2079,2079],[2,12,"f","(4,3,2,1,1,1)",5632,5632,"exact",5632,5632],[2,12,"f","(4,3,2,2,1)",5775,5775,"exact",5775,5775],[2,12,"f","(4,3,3,1,1)",4158,4158,"exact",4158,4158],[2,12,"f","(4,3,3,2)",2970,2966,"exact",2966,2966],[2,12,"f","(4,4,1,1,1,1)",1925,1925,"exact",1925,1925],[2,12,"f","(4,4,2,1,1)",4455,4455,"exact",4455,4455],[2,12,"f","(4,4,2,2)",2640,2637,"exact",2637,2637],[2,12,"f","(4,4,3,1)",2970,2964,"exact",2964,2964],[2,12,"f","(4,4,4)",462,457,"exact",457,457],[2,12,"f","(5,1,1,1,1,1,1,1)",330,330,"exact",330,330],[2,12,"f","(5,2,1,1,1,1,1)",1728,1728,"exact",1728,1728],[2,12,"f","(5,2,2,1,1,1)",3696,3696,"exact",3696,3696],[2,12,"f","(5,2,2,2,1)",3520,3520,"exact",3520,3520],[2,12,"f","(5,3,1,1,1,1)",3564,3564,"exact",3564,3564],[2,12,"f","(5,3,2,1,1)",7700,7700,"exact",7700,7700],[2,12,"f","(5,3,2,2)",4455,4449,"exact",4449,4449],[2,12,"f","(5,3,3,1)",4158,4149,"exact",4149,4149],[2,12,"f","(5,4,1,1,1)",3520,3520,"exact",3520,3520],[2,12,"f","(5,4,2,1)",5775,5763,"exact",5763,5763],[2,12,"f","(5,4,3)",2112,2096,"exact",2096,2096],[2,12,"f","(5,5,1,1)",1485,1480,"exact",1480,1480],[2,12,"f","(5,5,2)",1320,1308,"exact",1308,1308],[2,12,"f","(6,1,1,1,1,1,1)",462,462,"exact",462,462],[2,12,"f","(6,2,1,1,1,1)",2100,2100,"exact",2100,2100],[2,12,"f","(6,2,2,1,1)",3564,3564,"exact",3564,3564],[2,12,"f","(6,2,2,2)",1925,1920,"exact",1920,1920],[2,12,"f","(6,3,1,1,1)",3696,3696,"exact",3696,3696],[2,12,"f","(6,3,2,1)",5632,5616,"exact",5616,5616],[2,12,"f","(6,3,3)",1650,1634,"exact",1634,1634],[2,12,"f","(6,4,1,1)",3080,3068,"exact",3068,3068],[2,12,"f","(6,4,2)",2673,2646,"exact",2646,2646],[2,12,"f","(6,5,1)",1155,1135,"exact",1135,1135],[2,12,"f","(6,6)",132,126,"exact",126,126],[2,12,"f","(7,1,1,1,1,1)",462,462,"exact",462,462],[2,12,"f","(7,2,1,1,1)",1728,1728,"exact",1728,1728],[2,12,"f","(7,2,2,1)",2079,2067,"exact",2067,2067],[2,12,"f","(7,3,1,1)",2376,2361,"exact",2361,2361],[2,12,"f","(7,3,2)",1925,1895,"exact",1895,1895],[2,12,"f","(7,4,1)",1408,1376,"exact",1376,1376],[2,12,"f","(7,5)",297,282,"exact",282,282],[2,12,"f","(8,1,1,1,1)",330,330,"exact",330,330],[2,12,"f","(8,2,1,1)",945,931,"exact",931,931],[2,12,"f","(8,2,2)",616,595,"exact",595,595],[2,12,"f","(8,3,1)",891,855,"exact",855,855],[2,12,"f","(8,4)",275,255,"exact",255,255],[2,12,"f","(9,1,1,1)",165,157,"exact",157,157],[2,12,"f","(9,2,1)",320,288,"exact",288,288],[2,12,"f","(9,3)",154,133,"exact",133,133],[2,12,"f","(10,1,1)",55,36,"exact",36,36],[2,12,"f","(10,2)",54,36,"exact",36,36],[2,12,"f","(11,1)",11,0,"exact",0,0],[2,12,"f","(12)",1,0,"exact",0,0],[2,13,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,13,"f","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[2,13,"f","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[2,13,"f","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[2,13,"f","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[2,13,"f","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[2,13,"f","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[2,13,"f","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[2,13,"f","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[2,13,"f","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,13,"f","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[2,13,"f","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[2,13,"f","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[2,13,"f","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[2,13,"f","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[2,13,"f","(3,3,2,2,1,1,1)",6006,6006,"exact",6006,6006],[2,13,"f","(3,3,2,2,2,1)",5148,5148,"exact",5148,5148],[2,13,"f","(3,3,3,1,1,1,1)",3575,3575,"exact",3575,3575],[2,13,"f","(3,3,3,2,1,1)",6435,6435,"exact",6435,6435],[2,13,"f","(3,3,3,2,2)",3432,3432,"exact",3432,3432],[2,13,"f","(3,3,3,3,1)",2574,2574,"exact",2574,2574],[2,13,"f","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[2,13,"f","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[2,13,"f","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[2,13,"f","(4,2,2,2,1,1,1)",6864,6864,"exact",6864,6864],[2,13,"f","(4,2,2,2,2,1)",5720,5720,"exact",5720,5720],[2,13,"f","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[2,13,"f","(4,3,2,1,1,1,1)",12012,12012,"exact",12012,12012],[2,13,"f","(4,3,2,2,1,1)",17160,17160,"exact",17160,17160],[2,13,"f","(4,3,2,2,2)",8580,8580,"exact",8580,8580],[2,13,"f","(4,3,3,1,1,1)",11440,11440,"exact",11440,11440],[2,13,"f","(4,3,3,2,1)",15015,15015,"exact",15015,15015],[2,13,"f","(4,3,3,3)",3432,3430,"exact",3430,3430],[2,13,"f","(4,4,1,1,1,1,1)",4004,4004,"exact",4004,4004],[2,13,"f","(4,4,2,1,1,1)",12012,12012,"exact",12012,12012],[2,13,"f","(4,4,2,2,1)",12870,12870,"exact",12870,12870],[2,13,"f","(4,4,3,1,1)",11583,11583,"exact",11583,11583],[2,13,"f","(4,4,3,2)",8580,8576,"exact",8576,8576],[2,13,"f","(4,4,4,1)",3432,3428,"exact",3428,3428],[2,13,"f","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[2,13,"f","(5,2,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,13,"f","(5,2,2,1,1,1,1)",7800,7800,"exact",7800,7800],[2,13,"f","(5,2,2,2,1,1)",10296,10296,"exact",10296,10296],[2,13,"f","(5,2,2,2,2)",5005,5005,"exact",5005,5005],[2,13,"f","(5,3,1,1,1,1,1)",7371,7371,"exact",7371,7371],[2,13,"f","(5,3,2,1,1,1)",20592,20592,"exact",20592,20592],[2,13,"f","(5,3,2,2,1)",21450,21450,"exact",21450,21450],[2,13,"f","(5,3,3,1,1)",16016,16016,"exact",16016,16016],[2,13,"f","(5,3,3,2)",11583,11577,"exact",11577,11577],[2,13,"f","(5,4,1,1,1,1)",9009,9009,"exact",9009,9009],[2,13,"f","(5,4,2,1,1)",21450,21450,"exact",21450,21450],[2,13,"f","(5,4,2,2)",12870,12864,"exact",12864,12864],[2,13,"f","(5,4,3,1)",15015,15003,"exact",15003,15003],[2,13,"f","(5,4,4)",2574,2564,"exact",2564,2564],[2,13,"f","(5,5,1,1,1)",5005,5005,"exact",5005,5005],[2,13,"f","(5,5,2,1)",8580,8572,"exact",8572,8572],[2,13,"f","(5,5,3)",3432,3420,"exact",3420,3420],[2,13,"f","(6,1,1,1,1,1,1,1)",792,792,"exact",792,792],[2,13,"f","(6,2,1,1,1,1,1)",4290,4290,"exact",4290,4290],[2,13,"f","(6,2,2,1,1,1)",9360,9360,"exact",9360,9360],[2,13,"f","(6,2,2,2,1)",9009,9009,"exact",9009,9009],[2,13,"f","(6,3,1,1,1,1)",9360,9360,"exact",9360,9360],[2,13,"f","(6,3,2,1,1)",20592,20592,"exact",20592,20592],[2,13,"f","(6,3,2,2)",12012,12004,"exact",12004,12004],[2,13,"f","(6,3,3,1)",11440,11428,"exact",11428,11428],[2,13,"f","(6,4,1,1,1)",10296,10296,"exact",10296,10296],[2,13,"f","(6,4,2,1)",17160,17142,"exact",17142,17142],[2,13,"f","(6,4,3)",6435,6411,"exact",6411,6411],[2,13,"f","(6,5,1,1)",5720,5710,"exact",5710,5710],[2,13,"f","(6,5,2)",5148,5124,"exact",5124,5124],[2,13,"f","(6,6,1)",1287,1275,"exact",1275,1275],[2,13,"f","(7,1,1,1,1,1,1)",924,924,"exact",924,924],[2,13,"f","(7,2,1,1,1,1)",4290,4290,"exact",4290,4290],[2,13,"f","(7,2,2,1,1)",7371,7371,"exact",7371,7371],[2,13,"f","(7,2,2,2)",4004,3998,"exact",3998,3998],[2,13,"f","(7,3,1,1,1)",7800,7800,"exact",7800,7800],[2,13,"f","(7,3,2,1)",12012,11992,"exact",11992,11992],[2,13,"f","(7,3,3)",3575,3555,"exact",3555,3555],[2,13,"f","(7,4,1,1)",6864,6848,"exact",6848,6848],[2,13,"f","(7,4,2)",6006,5970,"exact",5970,5970],[2,13,"f","(7,5,1)",2860,2830,"exact",2830,2830],[2,13,"f","(7,6)",429,417,"exact",417,417],[2,13,"f","(8,1,1,1,1,1)",792,792,"exact",792,792],[2,13,"f","(8,2,1,1,1)",3003,3003,"exact",3003,3003],[2,13,"f","(8,2,2,1)",3640,3626,"exact",3626,3626],[2,13,"f","(8,3,1,1)",4212,4194,"exact",4194,4194],[2,13,"f","(8,3,2)",3432,3396,"exact",3396,3396],[2,13,"f","(8,4,1)",2574,2534,"exact",2534,2534],[2,13,"f","(8,5)",572,552,"exact",552,552],[2,13,"f","(9,1,1,1,1)",495,495,"exact",495,495],[2,13,"f","(9,2,1,1)",1430,1414,"exact",1414,1414],[2,13,"f","(9,2,2)",936,912,"exact",912,912],[2,13,"f","(9,3,1)",1365,1323,"exact",1323,1323],[2,13,"f","(9,4)",429,405,"exact",405,405],[2,13,"f","(10,1,1,1)",220,211,"exact",211,211],[2,13,"f","(10,2,1)",429,393,"exact",393,393],[2,13,"f","(10,3)",208,184,"exact",184,184],[2,13,"f","(11,1,1)",66,45,"exact",45,45],[2,13,"f","(11,2)",65,45,"exact",45,45],[2,13,"f","(12,1)",12,0,"exact",0,0],[2,13,"f","(13)",1,0,"exact",0,0],[2,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[2,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[2,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[2,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[2,14,"f","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[2,14,"f","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[2,14,"f","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[2,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[2,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[2,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,14,"f","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,14,"f","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[2,14,"f","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[2,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,14,"f","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[2,14,"f","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[2,14,"f","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[2,14,"f","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[2,14,"f","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,14,"f","(3,3,3,2,1,1,1)",16016,16016,"exact",16016,16016],[2,14,"f","(3,3,3,2,2,1)",15015,15015,"exact",15015,15015],[2,14,"f","(3,3,3,3,1,1)",9009,9009,"exact",9009,9009],[2,14,"f","(3,3,3,3,2)",6006,6006,"exact",6006,6006],[2,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[2,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[2,14,"f","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,14,"f","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[2,14,"f","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[2,14,"f","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[2,14,"f","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[2,14,"f","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[2,14,"f","(4,3,2,2,1,1,1)",42042,42042,"exact",42042,42042],[2,14,"f","(4,3,2,2,2,1)",36608,36608,"exact",36608,36608],[2,14,"f","(4,3,3,1,1,1,1)",27027,27027,"exact",27027,27027],[2,14,"f","(4,3,3,2,1,1)",50050,50050,"exact",50050,50050],[2,14,"f","(4,3,3,2,2)",27027,27027,"exact",27027,27027],[2,14,"f","(4,3,3,3,1)",21021,21021,"exact",21021,21021],[2,14,"f","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[2,14,"f","(4,4,2,1,1,1,1)",28028,28028,"exact",28028,28028],[2,14,"f","(4,4,2,2,1,1)",42042,42042,"exact",42042,42042],[2,14,"f","(4,4,2,2,2)",21450,21450,"exact",21450,21450],[2,14,"f","(4,4,3,1,1,1)",35035,35035,"exact",35035,35035],[2,14,"f","(4,4,3,2,1)",48048,48048,"exact",48048,48048],[2,14,"f","(4,4,3,3)",12012,12010,"exact",12010,12010],[2,14,"f","(4,4,4,1,1)",15015,15015,"exact",15015,15015],[2,14,"f","(4,4,4,2)",12012,12006,"lower bound",12006,12009],[2,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[2,14,"f","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[2,14,"f","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[2,14,"f","(5,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[2,14,"f","(5,2,2,2,2,1)",21021,21021,"exact",21021,21021],[2,14,"f","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[2,14,"f","(5,3,2,1,1,1,1)",47775,47775,"exact",47775,47775],[2,14,"f","(5,3,2,2,1,1)",69498,69498,"exact",69498,69498],[2,14,"f","(5,3,2,2,2)",35035,35035,"exact",35035,35035],[2,14,"f","(5,3,3,1,1,1)",48048,48048,"exact",48048,48048],[2,14,"f","(5,3,3,2,1)",64064,64064,"exact",64064,64064],[2,14,"f","(5,3,3,3)",15015,15012,"exact",15012,15012],[2,14,"f","(5,4,1,1,1,1,1)",20384,20384,"exact",20384,20384],[2,14,"f","(5,4,2,1,1,1)",63063,63063,"exact",63063,63063],[2,14,"f","(5,4,2,2,1)",68640,68640,"exact",68640,68640],[2,14,"f","(5,4,3,1,1)",64064,64064,"exact",64064,64064],[2,14,"f","(5,4,3,2)",48048,48018,"lower bound",48018,48040],[2,14,"f","(5,4,4,1)",21021,20952,"lower bound",20952,21014],[2,14,"f","(5,5,1,1,1,1)",14014,14014,"exact",14014,14014],[2,14,"f","(5,5,2,1,1)",35035,35035,"exact",35035,35035],[2,14,"f","(5,5,2,2)",21450,21430,"lower bound",21430,21446],[2,14,"f","(5,5,3,1)",27027,26926,"lower bound",26926,27019],[2,14,"f","(5,5,4)",6006,5894,"lower bound",5894,5996],[2,14,"f","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[2,14,"f","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[2,14,"f","(6,2,2,1,1,1,1)",21450,21450,"exact",21450,21450],[2,14,"f","(6,2,2,2,1,1)",28665,28665,"exact",28665,28665],[2,14,"f","(6,2,2,2,2)",14014,14014,"exact",14014,14014],[2,14,"f","(6,3,1,1,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"f","(6,3,2,1,1,1)",59904,59904,"exact",59904,59904],[2,14,"f","(6,3,2,2,1)",63063,63063,"exact",63063,63063],[2,14,"f","(6,3,3,1,1)",48048,48048,"exact",48048,48048],[2,14,"f","(6,3,3,2)",35035,35007,"lower bound",35007,35027],[2,14,"f","(6,4,1,1,1,1)",28665,28665,"exact",28665,28665],[2,14,"f","(6,4,2,1,1)",69498,69498,"exact",69498,69498],[2,14,"f","(6,4,2,2)",42042,41994,"lower bound",41994,42033],[2,14,"f","(6,4,3,1)",50050,49835,"lower bound",49835,50033],[2,14,"f","(6,4,4)",9009,8823,"lower bound",8823,8994],[2,14,"f","(6,5,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"f","(6,5,2,1)",36608,36399,"lower bound",36399,36593],[2,14,"f","(6,5,3)",15015,14671,"lower bound",14671,14991],[2,14,"f","(6,6,1,1)",7007,6935,"lower bound",6935,7001],[2,14,"f","(6,6,2)",6435,6243,"lower bound",6243,6420],[2,14,"f","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[2,14,"f","(7,2,1,1,1,1,1)",9504,9504,"exact",9504,9504],[2,14,"f","(7,2,2,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"f","(7,2,2,2,1)",20384,20384,"exact",20384,20384],[2,14,"f","(7,3,1,1,1,1)",21450,21450,"exact",21450,21450],[2,14,"f","(7,3,2,1,1)",47775,47775,"exact",47775,47775],[2,14,"f","(7,3,2,2)",28028,27976,"lower bound",27976,28018],[2,14,"f","(7,3,3,1)",27027,26862,"lower bound",26862,27013],[2,14,"f","(7,4,1,1,1)",24960,24960,"exact",24960,24960],[2,14,"f","(7,4,2,1)",42042,41727,"lower bound",41727,42019],[2,14,"f","(7,4,3)",16016,15560,"lower bound",15560,15984],[2,14,"f","(7,5,1,1)",15444,15263,"lower bound",15263,15429],[2,14,"f","(7,5,2)",14014,13534,"lower bound",13534,13978],[2,14,"f","(7,6,1)",4576,4363,"lower bound",4363,4552],[2,14,"f","(7,7)",429,409,"lower bound",409,422],[2,14,"f","(8,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[2,14,"f","(8,2,1,1,1,1)",8085,8085,"exact",8085,8085],[2,14,"f","(8,2,2,1,1)",14014,14014,"exact",14014,14014],[2,14,"f","(8,2,2,2)",7644,7632,"lower bound",7632,7637],[2,14,"f","(8,3,1,1,1)",15015,15015,"exact",15015,15015],[2,14,"f","(8,3,2,1)",23296,23047,"lower bound",23047,23273],[2,14,"f","(8,3,3)",7007,6725,"lower bound",6725,6983],[2,14,"f","(8,4,1,1)",13650,13421,"lower bound",13421,13630],[2,14,"f","(8,4,2)",12012,11459,"lower bound",11459,11967],[2,14,"f","(8,5,1)",6006,5669,"lower bound",5669,5966],[2,14,"f","(8,6)",1001,969,"lower bound",969,983],[2,14,"f","(9,1,1,1,1,1)",1287,1287,"exact",1287,1287],[2,14,"f","(9,2,1,1,1)",4928,4928,"exact",4928,4928],[2,14,"f","(9,2,2,1)",6006,5980,"lower bound",5980,5990],[2,14,"f","(9,3,1,1)",7007,6893,"lower bound",6893,6986],[2,14,"f","(9,3,2)",5733,5436,"lower bound",5436,5691],[2,14,"f","(9,4,1)",4368,4073,"lower bound",4073,4320],[2,14,"f","(9,5)",1001,970,"lower bound",970,976],[2,14,"f","(10,1,1,1,1)",715,715,"exact",715,715],[2,14,"f","(10,2,1,1)",2079,2061,"exact",2061,2061],[2,14,"f","(10,2,2)",1365,1336,"lower bound",1336,1338],[2,14,"f","(10,3,1)",2002,1905,"lower bound",1905,1954],[2,14,"f","(10,4)",637,607,"lower bound",607,609],[2,14,"f","(11,1,1,1)",286,276,"exact",276,276],[2,14,"f","(11,2,1)",560,518,"lower bound",518,520],[2,14,"f","(11,3)",273,246,"exact",246,246],[2,14,"f","(12,1,1)",78,55,"exact",55,55],[2,14,"f","(12,2)",77,55,"exact",55,55],[2,14,"f","(13,1)",13,0,"exact",0,0],[2,14,"f","(14)",1,0,"exact",0,0],[2,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[2,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[2,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[2,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[2,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[2,15,"f","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"f","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[2,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[2,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[2,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[2,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,15,"f","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[2,15,"f","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[2,15,"f","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[2,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[2,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[2,15,"f","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[2,15,"f","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[2,15,"f","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[2,15,"f","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[2,15,"f","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[2,15,"f","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[2,15,"f","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[2,15,"f","(3,3,3,3,1,1,1)",25025,25025,"exact",25025,25025],[2,15,"f","(3,3,3,3,2,1)",30030,30030,"exact",30030,30030],[2,15,"f","(3,3,3,3,3)",6006,6006,"exact",6006,6006],[2,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[2,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[2,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[2,15,"f","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[2,15,"f","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[2,15,"f","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[2,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[2,15,"f","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,15,"f","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[2,15,"f","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[2,15,"f","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[2,15,"f","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[2,15,"f","(4,3,3,2,1,1,1)",135135,135135,"exact",135135,135135],[2,15,"f","(4,3,3,2,2,1)",128700,128700,"exact",128700,128700],[2,15,"f","(4,3,3,3,1,1)",80080,80080,"exact",80080,80080],[2,15,"f","(4,3,3,3,2)",54054,54054,"exact",54054,54054],[2,15,"f","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[2,15,"f","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[2,15,"f","(4,4,2,2,1,1,1)",112112,112112,"exact",112112,112112],[2,15,"f","(4,4,2,2,2,1)",100100,100100,"exact",100100,100100],[2,15,"f","(4,4,3,1,1,1,1)",90090,90090,"exact",90090,90090],[2,15,"f","(4,4,3,2,1,1)",175175,175175,"exact",175175,175175],[2,15,"f","(4,4,3,2,2)",96525,96525,"exact",96525,96525],[2,15,"f","(4,4,3,3,1)",81081,81081,"exact",81081,81081],[2,15,"f","(4,4,4,1,1,1)",50050,50050,"exact",50050,50050],[2,15,"f","(4,4,4,2,1)",75075,75075,"exact",75075,75075],[2,15,"f","(4,4,4,3)",24024,24016,"lower bound",24016,24022],[2,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[2,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[2,15,"f","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[2,15,"f","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[2,15,"f","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[2,15,"f","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[2,15,"f","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[2,15,"f","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[2,15,"f","(5,3,2,2,1,1,1)",184275,184275,"exact",184275,184275],[2,15,"f","(5,3,2,2,2,1)",162162,162162,"exact",162162,162162],[2,15,"f","(5,3,3,1,1,1,1)",122850,122850,"exact",122850,122850],[2,15,"f","(5,3,3,2,1,1)",231660,231660,"exact",231660,231660],[2,15,"f","(5,3,3,2,2)",126126,126126,"exact",126126,126126],[2,15,"f","(5,3,3,3,1)",100100,100100,"exact",100100,100100],[2,15,"f","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,15,"f","(5,4,2,1,1,1,1)",159250,159250,"exact",159250,159250],[2,15,"f","(5,4,2,2,1,1)",243243,243243,"exact",243243,243243],[2,15,"f","(5,4,2,2,2)",125125,125125,"exact",125125,125125],[2,15,"f","(5,4,3,1,1,1)",210210,210210,"exact",210210,210210],[2,15,"f","(5,4,3,2,1)",292864,292864,"exact",292864,292864],[2,15,"f","(5,4,3,3)",75075,75040,"lower bound",75040,75071],[2,15,"f","(5,4,4,1,1)",100100,100100,"exact",100100,100100],[2,15,"f","(5,4,4,2)",81081,80976,"lower bound",80976,81076],[2,15,"f","(5,5,1,1,1,1,1)",34398,34398,"exact",34398,34398],[2,15,"f","(5,5,2,1,1,1)",112112,112112,"exact",112112,112112],[2,15,"f","(5,5,2,2,1)",125125,125125,"exact",125125,125125],[2,15,"f","(5,5,3,1,1)",126126,126126,"exact",126126,126126],[2,15,"f","(5,5,3,2)",96525,96374,"lower bound",96374,96520],[2,15,"f","(5,5,4,1)",54054,53772,"lower bound",53772,54049],[2,15,"f","(5,5,5)",6006,5894,"lower bound",5894,6000],[2,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"f","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[2,15,"f","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[2,15,"f","(6,2,2,2,1,1,1)",75075,75075,"exact",75075,75075],[2,15,"f","(6,2,2,2,2,1)",63700,63700,"exact",63700,63700],[2,15,"f","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[2,15,"f","(6,3,2,1,1,1,1)",150150,150150,"exact",150150,150150],[2,15,"f","(6,3,2,2,1,1)",221130,221130,"exact",221130,221130],[2,15,"f","(6,3,2,2,2)",112112,112112,"exact",112112,112112],[2,15,"f","(6,3,3,1,1,1)",156000,156000,"exact",156000,156000],[2,15,"f","(6,3,3,2,1)",210210,210210,"exact",210210,210210],[2,15,"f","(6,3,3,3)",50050,50019,"lower bound",50019,50046],[2,15,"f","(6,4,1,1,1,1,1)",70070,70070,"exact",70070,70070],[2,15,"f","(6,4,2,1,1,1)",221130,221130,"exact",221130,221130],[2,15,"f","(6,4,2,2,1)",243243,243243,"exact",243243,243243],[2,15,"f","(6,4,3,1,1)",231660,231660,"exact",231660,231660],[2,15,"f","(6,4,3,2)",175175,174854,"lower bound",174854,175164],[2,15,"f","(6,4,4,1)",80080,79610,"lower bound",79610,80071],[2,15,"f","(6,5,1,1,1,1)",63700,63700,"exact",63700,63700],[2,15,"f","(6,5,2,1,1)",162162,162162,"exact",162162,162162],[2,15,"f","(6,5,2,2)",100100,99823,"lower bound",99823,100093],[2,15,"f","(6,5,3,1)",128700,127831,"lower bound",127831,128686],[2,15,"f","(6,5,4)",30030,29388,"lower bound",29388,30018],[2,15,"f","(6,6,1,1,1)",28028,28028,"exact",28028,28028],[2,15,"f","(6,6,2,1)",50050,49577,"lower bound",49577,50043],[2,15,"f","(6,6,3)",21450,20914,"lower bound",20914,21440],[2,15,"f","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,15,"f","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[2,15,"f","(7,2,2,1,1,1,1)",51975,51975,"exact",51975,51975],[2,15,"f","(7,2,2,2,1,1)",70070,70070,"exact",70070,70070],[2,15,"f","(7,2,2,2,2)",34398,34398,"exact",34398,34398],[2,15,"f","(7,3,1,1,1,1,1)",51975,51975,"exact",51975,51975],[2,15,"f","(7,3,2,1,1,1)",150150,150150,"exact",150150,150150],[2,15,"f","(7,3,2,2,1)",159250,159250,"exact",159250,159250],[2,15,"f","(7,3,3,1,1)",122850,122850,"exact",122850,122850],[2,15,"f","(7,3,3,2)",90090,89845,"lower bound",89845,90081],[2,15,"f","(7,4,1,1,1,1)",75075,75075,"exact",75075,75075],[2,15,"f","(7,4,2,1,1)",184275,184275,"exact",184275,184275],[2,15,"f","(7,4,2,2)",112112,111697,"lower bound",111697,112101],[2,15,"f","(7,4,3,1)",135135,133984,"lower bound",133984,135115],[2,15,"f","(7,4,4)",25025,24383,"lower bound",24383,25011],[2,15,"f","(7,5,1,1,1)",61425,61425,"exact",61425,61425],[2,15,"f","(7,5,2,1)",108108,106923,"lower bound",106923,108088],[2,15,"f","(7,5,3)",45045,43765,"lower bound",43765,45019],[2,15,"f","(7,6,1,1)",27027,26561,"lower bound",26561,27018],[2,15,"f","(7,6,2)",25025,24140,"lower bound",24140,25004],[2,15,"f","(7,7,1)",5005,4772,"lower bound",4772,4994],[2,15,"f","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[2,15,"f","(8,2,1,1,1,1,1)",19305,19305,"exact",19305,19305],[2,15,"f","(8,2,2,1,1,1)",43120,43120,"exact",43120,43120],[2,15,"f","(8,2,2,2,1)",42042,42042,"exact",42042,42042],[2,15,"f","(8,3,1,1,1,1)",44550,44550,"exact",44550,44550],[2,15,"f","(8,3,2,1,1)",100100,100100,"exact",100100,100100],[2,15,"f","(8,3,2,2)",58968,58655,"lower bound",58655,58957],[2,15,"f","(8,3,3,1)",57330,56634,"lower bound",56634,57315],[2,15,"f","(8,4,1,1,1)",53625,53625,"exact",53625,53625],[2,15,"f","(8,4,2,1)",91000,89654,"lower bound",89654,90974],[2,15,"f","(8,4,3)",35035,33744,"lower bound",33744,35004],[2,15,"f","(8,5,1,1)",35100,34353,"lower bound",34353,35083],[2,15,"f","(8,5,2)",32032,30662,"lower bound",30662,31994],[2,15,"f","(8,6,1)",11583,11001,"lower bound",11001,11551],[2,15,"f","(8,7)",1430,1416,"exact",1416,1416],[2,15,"f","(9,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,15,"f","(9,2,1,1,1,1)",14300,14300,"exact",14300,14300],[2,15,"f","(9,2,2,1,1)",24948,24948,"exact",24948,24948],[2,15,"f","(9,2,2,2)",13650,13612,"lower bound",13612,13643],[2,15,"f","(9,3,1,1,1)",26950,26950,"exact",26950,26950],[2,15,"f","(9,3,2,1)",42042,41356,"lower bound",41356,42018],[2,15,"f","(9,3,3)",12740,12161,"lower bound",12161,12712],[2,15,"f","(9,4,1,1)",25025,24387,"lower bound",24387,25004],[2,15,"f","(9,4,2)",22113,20968,"lower bound",20968,22069],[2,15,"f","(9,5,1)",11375,10712,"lower bound",10712,11328],[2,15,"f","(9,6)",2002,1939,"lower bound",1939,1978],[2,15,"f","(10,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"f","(10,2,1,1,1)",7722,7722,"exact",7722,7722],[2,15,"f","(10,2,2,1)",9450,9377,"lower bound",9377,9432],[2,15,"f","(10,3,1,1)",11088,10859,"lower bound",10859,11067],[2,15,"f","(10,3,2)",9100,8677,"lower bound",8677,9052],[2,15,"f","(10,4,1)",7007,6585,"lower bound",6585,6954],[2,15,"f","(10,5)",1638,1608,"exact",1608,1608],[2,15,"f","(11,1,1,1,1)",1001,1001,"exact",1001,1001],[2,15,"f","(11,2,1,1)",2925,2855,"lower bound",2855,2905],[2,15,"f","(11,2,2)",1925,1895,"exact",1895,1895],[2,15,"f","(11,3,1)",2835,2669,"lower bound",2669,2781],[2,15,"f","(11,4)",910,878,"exact",878,878],[2,15,"f","(12,1,1,1)",364,351,"lower bound",351,353],[2,15,"f","(12,2,1)",715,669,"lower bound",669,671],[2,15,"f","(12,3)",350,320,"exact",320,320],[2,15,"f","(13,1,1)",91,66,"exact",66,66],[2,15,"f","(13,2)",90,66,"exact",66,66],[2,15,"f","(14,1)",14,0,"exact",0,0],[2,15,"f","(15)",1,0,"exact",0,0],[2,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,16,"f","(10,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[2,16,"f","(10,2,1,1,1,1)",24024,24024,"exact",24024,24024],[2,16,"f","(10,2,2,1,1)",42120,42120,"exact",42120,42120],[2,16,"f","(10,2,2,2)",23100,22989,"lower bound",22989,23100],[2,16,"f","(10,3,1,1,1)",45760,45760,"exact",45760,45760],[2,16,"f","(10,3,2,1)",71680,70269,"lower bound",70269,71680],[2,16,"f","(10,3,3)",21840,20838,"lower bound",20838,21840],[2,16,"f","(10,4,1,1)",43120,41831,"lower bound",41831,43120],[2,16,"f","(10,4,2)",38220,36230,"lower bound",36230,38220],[2,16,"f","(10,5,1)",20020,18905,"lower bound",18905,20014],[2,16,"f","(10,6)",3640,3547,"lower bound",3547,3610],[2,16,"f","(11,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,16,"f","(11,2,1,1,1)",11648,11648,"exact",11648,11648],[2,16,"f","(11,2,2,1)",14300,14127,"lower bound",14127,14280],[2,16,"f","(11,3,1,1)",16848,16383,"lower bound",16383,16822],[2,16,"f","(11,3,2)",13860,13241,"lower bound",13241,13806],[2,16,"f","(11,4,1)",10752,10132,"lower bound",10132,10691],[2,16,"f","(11,5)",2548,2486,"lower bound",2486,2513],[2,16,"f","(12,1,1,1,1)",1365,1365,"exact",1365,1365],[2,16,"f","(12,2,1,1)",4004,3875,"lower bound",3875,3982],[2,16,"f","(12,2,2)",2640,2607,"exact",2607,2607],[2,16,"f","(12,3,1)",3900,3658,"lower bound",3658,3840],[2,16,"f","(12,4)",1260,1224,"exact",1224,1224],[2,16,"f","(13,1,1,1)",455,441,"lower bound",441,443],[2,16,"f","(13,2,1)",896,846,"lower bound",846,848],[2,16,"f","(13,3)",440,407,"exact",407,407],[2,16,"f","(14,1,1)",105,78,"exact",78,78],[2,16,"f","(14,2)",104,78,"exact",78,78],[2,16,"f","(15,1)",15,0,"exact",0,0],[2,16,"f","(16)",1,0,"exact",0,0],[2,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[2,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[2,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[2,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[2,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[2,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[2,16,"f","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[2,16,"f","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[2,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[2,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[2,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[2,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[2,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[2,16,"f","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[2,16,"f","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[2,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[2,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[2,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[2,16,"f","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[2,16,"f","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[2,16,"f","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[2,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[2,16,"f","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[2,16,"f","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[2,16,"f","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[2,16,"f","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[2,16,"f","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[2,16,"f","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[2,16,"f","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[2,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[2,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[2,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[2,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[2,16,"f","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[2,16,"f","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[2,16,"f","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[2,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[2,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[2,16,"f","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[2,16,"f","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[2,16,"f","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[2,16,"f","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[2,16,"f","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[2,16,"f","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[2,16,"f","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[2,16,"f","(4,3,3,3,1,1,1)",240240,240240,"exact",240240,240240],[2,16,"f","(4,3,3,3,2,1)",292864,292864,"exact",292864,292864],[2,16,"f","(4,3,3,3,3)",60060,60060,"exact",60060,60060],[2,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[2,16,"f","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[2,16,"f","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[2,16,"f","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[2,16,"f","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[2,16,"f","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[2,16,"f","(4,4,3,2,1,1,1)",512512,512512,"exact",512512,512512],[2,16,"f","(4,4,3,2,2,1)",500500,500500,"exact",500500,500500],[2,16,"f","(4,4,3,3,1,1)",336336,336336,"exact",336336,336336],[2,16,"f","(4,4,3,3,2)",231660,231660,"exact",231660,231660],[2,16,"f","(4,4,4,1,1,1,1)",140140,140140,"exact",140140,140140],[2,16,"f","(4,4,4,2,1,1)",300300,300300,"exact",300300,300300],[2,16,"f","(4,4,4,2,2)",171600,171600,"exact",171600,171600],[2,16,"f","(4,4,4,3,1)",180180,180180,"exact",180180,180180],[2,16,"f","(4,4,4,4)",24024,24016,"lower bound",24016,24024],[2,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[2,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[2,16,"f","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[2,16,"f","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[2,16,"f","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[2,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[2,16,"f","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[2,16,"f","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"f","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[2,16,"f","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[2,16,"f","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[2,16,"f","(5,3,3,2,1,1,1)",673920,673920,"exact",673920,673920],[2,16,"f","(5,3,3,2,2,1)",648648,648648,"exact",648648,648648],[2,16,"f","(5,3,3,3,1,1)",411840,411840,"exact",411840,411840],[2,16,"f","(5,3,3,3,2)",280280,280280,"exact",280280,280280],[2,16,"f","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[2,16,"f","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[2,16,"f","(5,4,2,2,1,1,1)",698880,698880,"exact",698880,698880],[2,16,"f","(5,4,2,2,2,1)",630630,630630,"exact",630630,630630],[2,16,"f","(5,4,3,1,1,1,1)",582400,582400,"exact",582400,582400],[2,16,"f","(5,4,3,2,1,1)",1153152,1153152,"exact",1153152,1153152],[2,16,"f","(5,4,3,2,2)",640640,640640,"exact",640640,640640],[2,16,"f","(5,4,3,3,1)",549120,549120,"exact",549120,549120],[2,16,"f","(5,4,4,1,1,1)",360360,360360,"exact",360360,360360],[2,16,"f","(5,4,4,2,1)",549120,549120,"exact",549120,549120],[2,16,"f","(5,4,4,3)",180180,180032,"lower bound",180032,180180],[2,16,"f","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[2,16,"f","(5,5,2,1,1,1,1)",305760,305760,"exact",305760,305760],[2,16,"f","(5,5,2,2,1,1)",480480,480480,"exact",480480,480480],[2,16,"f","(5,5,2,2,2)",250250,250250,"exact",250250,250250],[2,16,"f","(5,5,3,1,1,1)",448448,448448,"exact",448448,448448],[2,16,"f","(5,5,3,2,1)",640640,640640,"exact",640640,640640],[2,16,"f","(5,5,3,3)",171600,171414,"lower bound",171414,171600],[2,16,"f","(5,5,4,1,1)",280280,280280,"exact",280280,280280],[2,16,"f","(5,5,4,2)",231660,231122,"lower bound",231122,231660],[2,16,"f","(5,5,5,1)",60060,59666,"lower bound",59666,60060],[2,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[2,16,"f","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[2,16,"f","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[2,16,"f","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[2,16,"f","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[2,16,"f","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[2,16,"f","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[2,16,"f","(6,3,2,2,1,1,1)",630630,630630,"exact",630630,630630],[2,16,"f","(6,3,2,2,2,1)",559104,559104,"exact",559104,559104],[2,16,"f","(6,3,3,1,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"f","(6,3,3,2,1,1)",819000,819000,"exact",819000,819000],[2,16,"f","(6,3,3,2,2)",448448,448448,"exact",448448,448448],[2,16,"f","(6,3,3,3,1)",360360,360360,"exact",360360,360360],[2,16,"f","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[2,16,"f","(6,4,2,1,1,1,1)",600600,600600,"exact",600600,600600],[2,16,"f","(6,4,2,2,1,1)",928746,928746,"exact",928746,928746],[2,16,"f","(6,4,2,2,2)",480480,480480,"exact",480480,480480],[2,16,"f","(6,4,3,1,1,1)",819000,819000,"exact",819000,819000],[2,16,"f","(6,4,3,2,1)",1153152,1153152,"exact",1153152,1153152],[2,16,"f","(6,4,3,3)",300300,299913,"lower bound",299913,300300],[2,16,"f","(6,4,4,1,1)",411840,411840,"exact",411840,411840],[2,16,"f","(6,4,4,2)",336336,335440,"lower bound",335440,336336],[2,16,"f","(6,5,1,1,1,1,1)",168168,168168,"exact",168168,168168],[2,16,"f","(6,5,2,1,1,1)",559104,559104,"exact",559104,559104],[2,16,"f","(6,5,2,2,1)",630630,630630,"exact",630630,630630],[2,16,"f","(6,5,3,1,1)",648648,648648,"exact",648648,648648],[2,16,"f","(6,5,3,2)",500500,498882,"lower bound",498882,500500],[2,16,"f","(6,5,4,1)",292864,290601,"lower bound",290601,292864],[2,16,"f","(6,5,5)",36036,35282,"lower bound",35282,36036],[2,16,"f","(6,6,1,1,1,1)",91728,91728,"exact",91728,91728],[2,16,"f","(6,6,2,1,1)",240240,240240,"exact",240240,240240],[2,16,"f","(6,6,2,2)",150150,149400,"lower bound",149400,150150],[2,16,"f","(6,6,3,1)",200200,198322,"lower bound",198322,200200],[2,16,"f","(6,6,4)",51480,50302,"lower bound",50302,51480],[2,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[2,16,"f","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[2,16,"f","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[2,16,"f","(7,2,2,2,1,1,1)",197120,197120,"exact",197120,197120],[2,16,"f","(7,2,2,2,2,1)",168168,168168,"exact",168168,168168],[2,16,"f","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[2,16,"f","(7,3,2,1,1,1,1)",404250,404250,"exact",404250,404250],[2,16,"f","(7,3,2,2,1,1)",600600,600600,"exact",600600,600600],[2,16,"f","(7,3,2,2,2)",305760,305760,"exact",305760,305760],[2,16,"f","(7,3,3,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"f","(7,3,3,2,1)",582400,582400,"exact",582400,582400],[2,16,"f","(7,3,3,3)",140140,139864,"lower bound",139864,140140],[2,16,"f","(7,4,1,1,1,1,1)",197120,197120,"exact",197120,197120],[2,16,"f","(7,4,2,1,1,1)",630630,630630,"exact",630630,630630],[2,16,"f","(7,4,2,2,1)",698880,698880,"exact",698880,698880],[2,16,"f","(7,4,3,1,1)",673920,673920,"exact",673920,673920],[2,16,"f","(7,4,3,2)",512512,510380,"lower bound",510380,512512],[2,16,"f","(7,4,4,1)",240240,237977,"lower bound",237977,240240],[2,16,"f","(7,5,1,1,1,1)",200200,200200,"exact",200200,200200],[2,16,"f","(7,5,2,1,1)",515970,515970,"exact",515970,515970],[2,16,"f","(7,5,2,2)",320320,318443,"lower bound",318443,320320],[2,16,"f","(7,5,3,1)",416988,412503,"lower bound",412503,416988],[2,16,"f","(7,5,4)",100100,97536,"lower bound",97536,100100],[2,16,"f","(7,6,1,1,1)",116480,116480,"exact",116480,116480],[2,16,"f","(7,6,2,1)",210210,207201,"lower bound",207201,210210],[2,16,"f","(7,6,3)",91520,88819,"lower bound",88819,91520],[2,16,"f","(7,7,1,1)",32032,31333,"lower bound",31333,32032],[2,16,"f","(7,7,2)",30030,28912,"lower bound",28912,30030],[2,16,"f","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[2,16,"f","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,16,"f","(8,2,2,1,1,1,1)",114400,114400,"exact",114400,114400],[2,16,"f","(8,2,2,2,1,1)",155232,155232,"exact",155232,155232],[2,16,"f","(8,2,2,2,2)",76440,76440,"exact",76440,76440],[2,16,"f","(8,3,1,1,1,1,1)",115830,115830,"exact",115830,115830],[2,16,"f","(8,3,2,1,1,1)",337920,337920,"exact",337920,337920],[2,16,"f","(8,3,2,2,1)",360360,360360,"exact",360360,360360],[2,16,"f","(8,3,3,1,1)",280280,280280,"exact",280280,280280],[2,16,"f","(8,3,3,2)",206388,205134,"lower bound",205134,206388],[2,16,"f","(8,4,1,1,1,1)",173250,173250,"exact",173250,173250],[2,16,"f","(8,4,2,1,1)",429000,429000,"exact",429000,429000],[2,16,"f","(8,4,2,2)",262080,260006,"lower bound",260006,262080],[2,16,"f","(8,4,3,1)",318500,314016,"lower bound",314016,318500],[2,16,"f","(8,4,4)",60060,58127,"lower bound",58127,60060],[2,16,"f","(8,5,1,1,1)",150150,150150,"exact",150150,150150],[2,16,"f","(8,5,2,1)",266240,261592,"lower bound",261592,266240],[2,16,"f","(8,5,3)",112112,108171,"lower bound",108171,112112],[2,16,"f","(8,6,1,1)",73710,71915,"lower bound",71915,73710],[2,16,"f","(8,6,2)",68640,65803,"lower bound",65803,68640],[2,16,"f","(8,7,1)",18018,17189,"lower bound",17189,17993],[2,16,"f","(8,8)",1430,1422,"exact",1422,1422],[2,16,"f","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[2,16,"f","(9,2,1,1,1,1,1)",36608,36608,"exact",36608,36608],[2,16,"f","(9,2,2,1,1,1)",82368,82368,"exact",82368,82368],[2,16,"f","(9,2,2,2,1)",80640,80640,"exact",80640,80640],[2,16,"f","(9,3,1,1,1,1)",85800,85800,"exact",85800,85800],[2,16,"f","(9,3,2,1,1)",194040,194040,"exact",194040,194040],[2,16,"f","(9,3,2,2)",114660,113623,"lower bound",113623,114660],[2,16,"f","(9,3,3,1)",112112,110151,"lower bound",110151,112112],[2,16,"f","(9,4,1,1,1)",105600,105600,"exact",105600,105600],[2,16,"f","(9,4,2,1)",180180,176365,"lower bound",176365,180180],[2,16,"f","(9,4,3)",69888,66873,"lower bound",66873,69888],[2,16,"f","(9,5,1,1)",71500,69452,"lower bound",69452,71500],[2,16,"f","(9,5,2)",65520,62342,"lower bound",62342,65520],[2,16,"f","(9,6,1)",24960,23652,"lower bound",23652,24956],[2,16,"f","(9,7)",3432,3355,"lower bound",3355,3411],[2,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,17,"f","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[2,17,"f","(10,2,1,1,1,1,1)",65637,65637,"exact",65637,65637],[2,17,"f","(10,2,2,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"f","(10,2,2,2,1)",145860,145860,"exact",145860,145860],[2,17,"f","(10,3,1,1,1,1)",155584,155584,"exact",155584,155584],[2,17,"f","(10,3,2,1,1)",353600,353600,"exact",353600,353600],[2,17,"f","(10,3,2,2)",209440,206881,"lower bound",206881,209440],[2,17,"f","(10,3,3,1)",205632,201258,"lower bound",201258,205632],[2,17,"f","(10,4,1,1,1)",194480,194480,"exact",194480,194480],[2,17,"f","(10,4,2,1)",333200,324695,"lower bound",324695,333200],[2,17,"f","(10,4,3)",129948,123941,"lower bound",123941,129948],[2,17,"f","(10,5,1,1)",134640,130188,"lower bound",130188,134640],[2,17,"f","(10,5,2)",123760,117477,"lower bound",117477,123760],[2,17,"f","(10,6,1)",48620,46104,"lower bound",46104,48615],[2,17,"f","(10,7)",7072,6902,"lower bound",6902,7048],[2,17,"f","(11,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[2,17,"f","(11,2,1,1,1,1)",38675,38675,"exact",38675,38675],[2,17,"f","(11,2,2,1,1)",68068,68068,"exact",68068,68068],[2,17,"f","(11,2,2,2)",37400,37116,"lower bound",37116,37400],[2,17,"f","(11,3,1,1,1)",74256,74256,"exact",74256,74256],[2,17,"f","(11,3,2,1)",116688,114020,"lower bound",114020,116688],[2,17,"f","(11,3,3)",35700,34079,"lower bound",34079,35700],[2,17,"f","(11,4,1,1)",70720,68346,"lower bound",68346,70720],[2,17,"f","(11,4,2)",62832,59603,"lower bound",59603,62832],[2,17,"f","(11,5,1)",33320,31523,"lower bound",31523,33313],[2,17,"f","(11,6)",6188,6033,"lower bound",6033,6156],[2,17,"f","(12,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,17,"f","(12,2,1,1,1)",17017,17017,"exact",17017,17017],[2,17,"f","(12,2,2,1)",20944,20609,"lower bound",20609,20944],[2,17,"f","(12,3,1,1)",24752,23916,"lower bound",23916,24752],[2,17,"f","(12,3,2)",20400,19506,"lower bound",19506,20400],[2,17,"f","(12,4,1)",15912,15014,"lower bound",15014,15843],[2,17,"f","(12,5)",3808,3710,"lower bound",3710,3768],[2,17,"f","(13,1,1,1,1)",1820,1820,"exact",1820,1820],[2,17,"f","(13,2,1,1)",5355,5162,"lower bound",5162,5349],[2,17,"f","(13,2,2)",3536,3453,"lower bound",3453,3500],[2,17,"f","(13,3,1)",5236,4911,"lower bound",4911,5173],[2,17,"f","(13,4)",1700,1631,"lower bound",1631,1660],[2,17,"f","(14,1,1,1)",560,519,"lower bound",519,547],[2,17,"f","(14,2,1)",1105,1002,"lower bound",1002,1053],[2,17,"f","(14,3)",544,485,"lower bound",485,508],[2,17,"f","(15,1,1)",120,78,"lower bound",78,91],[2,17,"f","(15,2)",119,78,"lower bound",78,91],[2,17,"f","(16,1)",16,0,"exact",0,0],[2,17,"f","(17)",1,0,"exact",0,0],[2,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[2,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[2,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[2,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[2,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[2,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[2,17,"f","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[2,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[2,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[2,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[2,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[2,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[2,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[2,17,"f","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[2,17,"f","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[2,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[2,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[2,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[2,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[2,17,"f","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[2,17,"f","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[2,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[2,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[2,17,"f","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[2,17,"f","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[2,17,"f","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[2,17,"f","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[2,17,"f","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"f","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[2,17,"f","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[2,17,"f","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[2,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[2,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[2,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[2,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[2,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[2,17,"f","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[2,17,"f","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[2,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[2,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[2,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[2,17,"f","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[2,17,"f","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[2,17,"f","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[2,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[2,17,"f","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[2,17,"f","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[2,17,"f","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[2,17,"f","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[2,17,"f","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[2,17,"f","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[2,17,"f","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[2,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[2,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[2,17,"f","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[2,17,"f","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[2,17,"f","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[2,17,"f","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[2,17,"f","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[2,17,"f","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"f","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[2,17,"f","(4,4,3,3,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"f","(4,4,3,3,2,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(4,4,3,3,3)",291720,291720,"exact",291720,291720],[2,17,"f","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[2,17,"f","(4,4,4,2,1,1,1)",952952,952952,"exact",952952,952952],[2,17,"f","(4,4,4,2,2,1)",972400,972400,"exact",972400,972400],[2,17,"f","(4,4,4,3,1,1)",816816,816816,"exact",816816,816816],[2,17,"f","(4,4,4,3,2)",583440,583440,"exact",583440,583440],[2,17,"f","(4,4,4,4,1)",204204,204204,"exact",204204,204204],[2,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[2,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[2,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[2,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[2,17,"f","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[2,17,"f","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[2,17,"f","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[2,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[2,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[2,17,"f","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[2,17,"f","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"f","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[2,17,"f","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"f","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[2,17,"f","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"f","(5,3,3,3,1,1,1)",1326000,1326000,"exact",1326000,1326000],[2,17,"f","(5,3,3,3,2,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"f","(5,3,3,3,3)",340340,340340,"exact",340340,340340],[2,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[2,17,"f","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[2,17,"f","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"f","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[2,17,"f","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[2,17,"f","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,17,"f","(5,4,3,2,1,1,1)",3620864,3620864,"exact",3620864,3620864],[2,17,"f","(5,4,3,2,2,1)",3573570,3573570,"exact",3573570,3573570],[2,17,"f","(5,4,3,3,1,1)",2450448,2450448,"exact",2450448,2450448],[2,17,"f","(5,4,3,3,2)",1701700,1701700,"exact",1701700,1701700],[2,17,"f","(5,4,4,1,1,1,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"f","(5,4,4,2,1,1)",2362932,2362932,"exact",2362932,2362932],[2,17,"f","(5,4,4,2,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(5,4,4,3,1)",1458600,1458600,"exact",1458600,1458600],[2,17,"f","(5,4,4,4)",204204,204048,"lower bound",204048,204204],[2,17,"f","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[2,17,"f","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[2,17,"f","(5,5,2,2,1,1,1)",1485120,1485120,"exact",1485120,1485120],[2,17,"f","(5,5,2,2,2,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(5,5,3,1,1,1,1)",1336608,1336608,"exact",1336608,1336608],[2,17,"f","(5,5,3,2,1,1)",2722720,2722720,"exact",2722720,2722720],[2,17,"f","(5,5,3,2,2)",1531530,1531530,"exact",1531530,1531530],[2,17,"f","(5,5,3,3,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(5,5,4,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"f","(5,5,4,2,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"f","(5,5,4,3)",583440,582568,"lower bound",582568,583440],[2,17,"f","(5,5,5,1,1)",340340,340340,"exact",340340,340340],[2,17,"f","(5,5,5,2)",291720,290788,"lower bound",290788,291720],[2,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[2,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[2,17,"f","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[2,17,"f","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[2,17,"f","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[2,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"f","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[2,17,"f","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[2,17,"f","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[2,17,"f","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[2,17,"f","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[2,17,"f","(6,3,3,2,1,1,1)",2552550,2552550,"exact",2552550,2552550],[2,17,"f","(6,3,3,2,2,1)",2475200,2475200,"exact",2475200,2475200],[2,17,"f","(6,3,3,3,1,1)",1591200,1591200,"exact",1591200,1591200],[2,17,"f","(6,3,3,3,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"f","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[2,17,"f","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[2,17,"f","(6,4,2,2,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,17,"f","(6,4,2,2,2,1)",2598960,2598960,"exact",2598960,2598960],[2,17,"f","(6,4,3,1,1,1,1)",2431000,2431000,"exact",2431000,2431000],[2,17,"f","(6,4,3,2,1,1)",4873050,4873050,"exact",4873050,4873050],[2,17,"f","(6,4,3,2,2)",2722720,2722720,"exact",2722720,2722720],[2,17,"f","(6,4,3,3,1)",2362932,2362932,"exact",2362932,2362932],[2,17,"f","(6,4,4,1,1,1)",1591200,1591200,"exact",1591200,1591200],[2,17,"f","(6,4,4,2,1)",2450448,2450448,"exact",2450448,2450448],[2,17,"f","(6,4,4,3)",816816,815385,"lower bound",815385,816816],[2,17,"f","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[2,17,"f","(6,5,2,1,1,1,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"f","(6,5,2,2,1,1)",2598960,2598960,"exact",2598960,2598960],[2,17,"f","(6,5,2,2,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(6,5,3,1,1,1)",2475200,2475200,"exact",2475200,2475200],[2,17,"f","(6,5,3,2,1)",3573570,3573570,"exact",3573570,3573570],[2,17,"f","(6,5,3,3)",972400,970209,"lower bound",970209,972400],[2,17,"f","(6,5,4,1,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"f","(6,5,4,2)",1361360,1356045,"lower bound",1356045,1361360],[2,17,"f","(6,5,5,1)",388960,385549,"lower bound",385549,388960],[2,17,"f","(6,6,1,1,1,1,1)",259896,259896,"exact",259896,259896],[2,17,"f","(6,6,2,1,1,1)",891072,891072,"exact",891072,891072],[2,17,"f","(6,6,2,2,1)",1021020,1021020,"exact",1021020,1021020],[2,17,"f","(6,6,3,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"f","(6,6,3,2)",850850,846604,"lower bound",846604,850850],[2,17,"f","(6,6,4,1)",544544,539225,"lower bound",539225,544544],[2,17,"f","(6,6,5)",87516,85584,"lower bound",85584,87516],[2,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[2,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[2,17,"f","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[2,17,"f","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[2,17,"f","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[2,17,"f","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[2,17,"f","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[2,17,"f","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[2,17,"f","(7,3,2,2,1,1,1)",1832600,1832600,"exact",1832600,1832600],[2,17,"f","(7,3,2,2,2,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"f","(7,3,3,1,1,1,1)",1262250,1262250,"exact",1262250,1262250],[2,17,"f","(7,3,3,2,1,1)",2431000,2431000,"exact",2431000,2431000],[2,17,"f","(7,3,3,2,2)",1336608,1336608,"exact",1336608,1336608],[2,17,"f","(7,3,3,3,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"f","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[2,17,"f","(7,4,2,1,1,1,1)",1832600,1832600,"exact",1832600,1832600],[2,17,"f","(7,4,2,2,1,1)",2858856,2858856,"exact",2858856,2858856],[2,17,"f","(7,4,2,2,2)",1485120,1485120,"exact",1485120,1485120],[2,17,"f","(7,4,3,1,1,1)",2552550,2552550,"exact",2552550,2552550],[2,17,"f","(7,4,3,2,1)",3620864,3620864,"exact",3620864,3620864],[2,17,"f","(7,4,3,3)",952952,950157,"lower bound",950157,952952],[2,17,"f","(7,4,4,1,1)",1326000,1326000,"exact",1326000,1326000],[2,17,"f","(7,4,4,2)",1089088,1083797,"lower bound",1083797,1089088],[2,17,"f","(7,5,1,1,1,1,1)",565488,565488,"exact",565488,565488],[2,17,"f","(7,5,2,1,1,1)",1905904,1905904,"exact",1905904,1905904],[2,17,"f","(7,5,2,2,1)",2165800,2165800,"exact",2165800,2165800],[2,17,"f","(7,5,3,1,1)",2255526,2255526,"exact",2255526,2255526],[2,17,"f","(7,5,3,2)",1750320,1740208,"lower bound",1740208,1750320],[2,17,"f","(7,5,4,1)",1050192,1038617,"lower bound",1038617,1050192],[2,17,"f","(7,5,5)",136136,132818,"lower bound",132818,136136],[2,17,"f","(7,6,1,1,1,1)",408408,408408,"exact",408408,408408],[2,17,"f","(7,6,2,1,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"f","(7,6,2,2)",680680,675044,"lower bound",675044,680680],[2,17,"f","(7,6,3,1)",918918,906845,"lower bound",906845,918918],[2,17,"f","(7,6,4)",243100,236657,"lower bound",236657,243100],[2,17,"f","(7,7,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"f","(7,7,2,1)",272272,267446,"lower bound",267446,272272],[2,17,"f","(7,7,3)",121550,117731,"lower bound",117731,121550],[2,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[2,17,"f","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[2,17,"f","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"f","(8,2,2,2,1,1,1)",466752,466752,"exact",466752,466752],[2,17,"f","(8,2,2,2,2,1)",399840,399840,"exact",399840,399840],[2,17,"f","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"f","(8,3,2,1,1,1,1)",972400,972400,"exact",972400,972400],[2,17,"f","(8,3,2,2,1,1)",1454112,1454112,"exact",1454112,1454112],[2,17,"f","(8,3,2,2,2)",742560,742560,"exact",742560,742560],[2,17,"f","(8,3,3,1,1,1)",1047200,1047200,"exact",1047200,1047200],[2,17,"f","(8,3,3,2,1)",1429428,1429428,"exact",1429428,1429428],[2,17,"f","(8,3,3,3)",346528,344998,"lower bound",344998,346528],[2,17,"f","(8,4,1,1,1,1,1)",486200,486200,"exact",486200,486200],[2,17,"f","(8,4,2,1,1,1)",1570800,1570800,"exact",1570800,1570800],[2,17,"f","(8,4,2,2,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"f","(8,4,3,1,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"f","(8,4,3,2)",1299480,1289536,"lower bound",1289536,1299480],[2,17,"f","(8,4,4,1)",618800,610120,"lower bound",610120,618800],[2,17,"f","(8,5,1,1,1,1)",523600,523600,"exact",523600,523600],[2,17,"f","(8,5,2,1,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"f","(8,5,2,2)",848640,840041,"lower bound",840041,848640],[2,17,"f","(8,5,3,1)",1113840,1096282,"lower bound",1096282,1113840],[2,17,"f","(8,5,4)",272272,263834,"lower bound",263834,272272],[2,17,"f","(8,6,1,1,1)",340340,340340,"exact",340340,340340],[2,17,"f","(8,6,2,1)",618800,606511,"lower bound",606511,618800],[2,17,"f","(8,6,3)",272272,262793,"lower bound",262793,272272],[2,17,"f","(8,7,1,1)",123760,120437,"lower bound",120437,123760],[2,17,"f","(8,7,2)",116688,111904,"lower bound",111904,116688],[2,17,"f","(8,8,1)",19448,18611,"lower bound",18611,19437],[2,17,"f","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[2,17,"f","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[2,17,"f","(9,2,2,1,1,1,1)",233376,233376,"exact",233376,233376],[2,17,"f","(9,2,2,2,1,1)",318240,318240,"exact",318240,318240],[2,17,"f","(9,2,2,2,2)",157080,157080,"exact",157080,157080],[2,17,"f","(9,3,1,1,1,1,1)",238238,238238,"exact",238238,238238],[2,17,"f","(9,3,2,1,1,1)",700128,700128,"exact",700128,700128],[2,17,"f","(9,3,2,2,1)",749700,749700,"exact",749700,749700],[2,17,"f","(9,3,3,1,1)",586432,586432,"exact",586432,586432],[2,17,"f","(9,3,3,2)",433160,428908,"lower bound",428908,433160],[2,17,"f","(9,4,1,1,1,1)",364650,364650,"exact",364650,364650],[2,17,"f","(9,4,2,1,1)",908820,908820,"exact",908820,908820],[2,17,"f","(9,4,2,2)",556920,549994,"lower bound",549994,556920],[2,17,"f","(9,4,3,1)",680680,667405,"lower bound",667405,680680],[2,17,"f","(9,4,4)",129948,125000,"lower bound",125000,129948],[2,17,"f","(9,5,1,1,1)",327250,327250,"exact",327250,327250],[2,17,"f","(9,5,2,1)",583440,569751,"lower bound",569751,583440],[2,17,"f","(9,5,3)",247520,237386,"lower bound",237386,247520],[2,17,"f","(9,6,1,1)",170170,165019,"lower bound",165019,170170],[2,17,"f","(9,6,2)",159120,151797,"lower bound",151797,159120],[2,17,"f","(9,7,1)",46410,44196,"lower bound",44196,46407],[2,17,"f","(9,8)",4862,4777,"lower bound",4777,4851],[2,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,18,"f","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[2,18,"f","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[2,18,"f","(10,2,2,1,1,1,1)",447525,447525,"exact",447525,447525],[2,18,"f","(10,2,2,2,1,1)",612612,612612,"exact",612612,612612],[2,18,"f","(10,2,2,2,2)",302940,302940,"exact",302940,302940],[2,18,"f","(10,3,1,1,1,1,1)",459459,459459,"exact",459459,459459],[2,18,"f","(10,3,2,1,1,1)",1357824,1357824,"exact",1357824,1357824],[2,18,"f","(10,3,2,2,1)",1458600,1458600,"exact",1458600,1458600],[2,18,"f","(10,3,3,1,1)",1145664,1145664,"exact",1145664,1145664],[2,18,"f","(10,3,3,2)",848232,837047,"lower bound",837047,848232],[2,18,"f","(10,4,1,1,1,1)",714714,714714,"exact",714714,714714],[2,18,"f","(10,4,2,1,1)",1790100,1790100,"exact",1790100,1790100],[2,18,"f","(10,4,2,2)",1099560,1081570,"lower bound",1081570,1099560],[2,18,"f","(10,4,3,1)",1349460,1317299,"lower bound",1317299,1349460],[2,18,"f","(10,4,4)",259896,248941,"lower bound",248941,259896],[2,18,"f","(10,5,1,1,1)",656370,656370,"exact",656370,656370],[2,18,"f","(10,5,2,1)",1175040,1142111,"lower bound",1142111,1175040],[2,18,"f","(10,5,3)",501228,478804,"lower bound",478804,501228],[2,18,"f","(10,6,1,1)",353430,341311,"lower bound",341311,353430],[2,18,"f","(10,6,2)",331500,315378,"lower bound",315378,331500],[2,18,"f","(10,7,1)",102102,97202,"lower bound",97202,102098],[2,18,"f","(10,8)",11934,11679,"lower bound",11679,11917],[2,18,"f","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[2,18,"f","(11,2,1,1,1,1,1)",112320,112320,"exact",112320,112320],[2,18,"f","(11,2,2,1,1,1)",255255,255255,"exact",255255,255255],[2,18,"f","(11,2,2,2,1)",251328,251328,"exact",251328,251328],[2,18,"f","(11,3,1,1,1,1)",268515,268515,"exact",268515,268515],[2,18,"f","(11,3,2,1,1)",612612,612612,"exact",612612,612612],[2,18,"f","(11,3,2,2)",363528,358017,"lower bound",358017,363528],[2,18,"f","(11,3,3,1)",358020,349357,"lower bound",349357,358020],[2,18,"f","(11,4,1,1,1)",339456,339456,"exact",339456,339456],[2,18,"f","(11,4,2,1)",583440,566664,"lower bound",566664,583440],[2,18,"f","(11,4,3)",228480,217623,"lower bound",217623,228480],[2,18,"f","(11,5,1,1)",238680,230057,"lower bound",230057,238680],[2,18,"f","(11,5,2)",219912,208603,"lower bound",208603,219912],[2,18,"f","(11,6,1)",88128,83660,"lower bound",83660,88122],[2,18,"f","(11,7)",13260,12935,"lower bound",12935,13230],[2,18,"f","(12,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[2,18,"f","(12,2,1,1,1,1)",60060,60060,"exact",60060,60060],[2,18,"f","(12,2,2,1,1)",106029,106029,"exact",106029,106029],[2,18,"f","(12,2,2,2)",58344,57725,"lower bound",57725,58344],[2,18,"f","(12,3,1,1,1)",116025,116025,"exact",116025,116025],[2,18,"f","(12,3,2,1)",182784,178051,"lower bound",178051,182784],[2,18,"f","(12,3,3)",56100,53585,"lower bound",53585,56100],[2,18,"f","(12,4,1,1)",111384,107276,"lower bound",107276,111384],[2,18,"f","(12,4,2)",99144,94123,"lower bound",94123,99144],[2,18,"f","(12,5,1)",53040,50247,"lower bound",50247,53032],[2,18,"f","(12,6)",9996,9743,"lower bound",9743,9978],[2,18,"f","(13,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,18,"f","(13,2,1,1,1)",24192,24192,"exact",24192,24192],[2,18,"f","(13,2,2,1)",29835,29224,"lower bound",29224,29835],[2,18,"f","(13,3,1,1)",35343,33989,"lower bound",33989,35343],[2,18,"f","(13,3,2)",29172,27870,"lower bound",27870,29172],[2,18,"f","(13,4,1)",22848,21556,"lower bound",21556,22838],[2,18,"f","(13,5)",5508,5341,"lower bound",5341,5467],[2,18,"f","(14,1,1,1,1)",2380,2380,"exact",2380,2380],[2,18,"f","(14,2,1,1)",7020,6683,"lower bound",6683,7012],[2,18,"f","(14,2,2)",4641,4455,"lower bound",4455,4602],[2,18,"f","(14,3,1)",6885,6398,"lower bound",6398,6816],[2,18,"f","(14,4)",2244,2116,"lower bound",2116,2200],[2,18,"f","(15,1,1,1)",680,597,"lower bound",597,666],[2,18,"f","(15,2,1)",1344,1158,"lower bound",1158,1288],[2,18,"f","(15,3)",663,563,"lower bound",563,624],[2,18,"f","(16,1,1)",136,78,"lower bound",78,105],[2,18,"f","(16,2)",135,78,"lower bound",78,105],[2,18,"f","(17,1)",17,0,"exact",0,0],[2,18,"f","(18)",1,0,"exact",0,0],[2,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[2,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[2,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[2,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[2,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[2,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[2,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[2,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[2,18,"f","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[2,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[2,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[2,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[2,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[2,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[2,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[2,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[2,18,"f","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[2,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[2,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[2,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[2,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[2,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[2,18,"f","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[2,18,"f","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[2,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[2,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[2,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[2,18,"f","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[2,18,"f","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[2,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[2,18,"f","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[2,18,"f","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[2,18,"f","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[2,18,"f","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[2,18,"f","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[2,18,"f","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[2,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[2,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[2,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[2,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[2,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[2,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[2,18,"f","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[2,18,"f","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[2,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[2,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[2,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[2,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[2,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[2,18,"f","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[2,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[2,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[2,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[2,18,"f","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[2,18,"f","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[2,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"f","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[2,18,"f","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[2,18,"f","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"f","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[2,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[2,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[2,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[2,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[2,18,"f","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[2,18,"f","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[2,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[2,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[2,18,"f","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[2,18,"f","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[2,18,"f","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[2,18,"f","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[2,18,"f","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[2,18,"f","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[2,18,"f","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[2,18,"f","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[2,18,"f","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[2,18,"f","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[2,18,"f","(4,4,4,3,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"f","(4,4,4,3,2,1)",3734016,3734016,"exact",3734016,3734016],[2,18,"f","(4,4,4,3,3)",875160,875160,"exact",875160,875160],[2,18,"f","(4,4,4,4,1,1)",1021020,1021020,"exact",1021020,1021020],[2,18,"f","(4,4,4,4,2)",787644,787644,"exact",787644,787644],[2,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[2,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[2,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[2,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[2,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[2,18,"f","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[2,18,"f","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[2,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[2,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[2,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[2,18,"f","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[2,18,"f","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[2,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[2,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[2,18,"f","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[2,18,"f","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[2,18,"f","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[2,18,"f","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[2,18,"f","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[2,18,"f","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[2,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[2,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[2,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[2,18,"f","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[2,18,"f","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[2,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[2,18,"f","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[2,18,"f","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[2,18,"f","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[2,18,"f","(5,4,3,3,1,1,1)",8486400,8486400,"exact",8486400,8486400],[2,18,"f","(5,4,3,3,2,1)",10720710,10720710,"exact",10720710,10720710],[2,18,"f","(5,4,3,3,3)",2333760,2333760,"exact",2333760,2333760],[2,18,"f","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"f","(5,4,4,2,1,1,1)",8019648,8019648,"exact",8019648,8019648],[2,18,"f","(5,4,4,2,2,1)",8270262,8270262,"exact",8270262,8270262],[2,18,"f","(5,4,4,3,1,1)",7088796,7088796,"exact",7088796,7088796],[2,18,"f","(5,4,4,3,2)",5105100,5105100,"exact",5105100,5105100],[2,18,"f","(5,4,4,4,1)",1867008,1867008,"exact",1867008,1867008],[2,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[2,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[2,18,"f","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[2,18,"f","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[2,18,"f","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[2,18,"f","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[2,18,"f","(5,5,3,2,1,1,1)",9165312,9165312,"exact",9165312,9165312],[2,18,"f","(5,5,3,2,2,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"f","(5,5,3,3,1,1)",6534528,6534528,"exact",6534528,6534528],[2,18,"f","(5,5,3,3,2)",4594590,4594590,"exact",4594590,4594590],[2,18,"f","(5,5,4,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[2,18,"f","(5,5,4,2,1,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"f","(5,5,4,2,2)",4594590,4594590,"exact",4594590,4594590],[2,18,"f","(5,5,4,3,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"f","(5,5,4,4)",787644,786616,"lower bound",786616,787644],[2,18,"f","(5,5,5,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"f","(5,5,5,2,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"f","(5,5,5,3)",875160,873356,"lower bound",873356,875160],[2,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[2,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[2,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[2,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[2,18,"f","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[2,18,"f","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[2,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[2,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[2,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[2,18,"f","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[2,18,"f","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[2,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"f","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[2,18,"f","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"f","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[2,18,"f","(6,3,3,3,1,1,1)",5469750,5469750,"exact",5469750,5469750],[2,18,"f","(6,3,3,3,2,1)",6789120,6789120,"exact",6789120,6789120],[2,18,"f","(6,3,3,3,3)",1429428,1429428,"exact",1429428,1429428],[2,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[2,18,"f","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[2,18,"f","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[2,18,"f","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[2,18,"f","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[2,18,"f","(6,4,3,2,1,1,1)",16336320,16336320,"exact",16336320,16336320],[2,18,"f","(6,4,3,2,2,1)",16243500,16243500,"exact",16243500,16243500],[2,18,"f","(6,4,3,3,1,1)",11277630,11277630,"exact",11277630,11277630],[2,18,"f","(6,4,3,3,2)",7876440,7876440,"exact",7876440,7876440],[2,18,"f","(6,4,4,1,1,1,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"f","(6,4,4,2,1,1)",11277630,11277630,"exact",11277630,11277630],[2,18,"f","(6,4,4,2,2)",6534528,6534528,"exact",6534528,6534528],[2,18,"f","(6,4,4,3,1)",7088796,7088796,"exact",7088796,7088796],[2,18,"f","(6,4,4,4)",1021020,1019433,"lower bound",1019433,1021020],[2,18,"f","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[2,18,"f","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[2,18,"f","(6,5,2,2,1,1,1)",8576568,8576568,"exact",8576568,8576568],[2,18,"f","(6,5,2,2,2,1)",7920640,7920640,"exact",7920640,7920640],[2,18,"f","(6,5,3,1,1,1,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"f","(6,5,3,2,1,1)",16243500,16243500,"exact",16243500,16243500],[2,18,"f","(6,5,3,2,2)",9189180,9189180,"exact",9189180,9189180],[2,18,"f","(6,5,3,3,1)",8270262,8270262,"exact",8270262,8270262],[2,18,"f","(6,5,4,1,1,1)",6789120,6789120,"exact",6789120,6789120],[2,18,"f","(6,5,4,2,1)",10720710,10720710,"exact",10720710,10720710],[2,18,"f","(6,5,4,3)",3734016,3724207,"lower bound",3724207,3734016],[2,18,"f","(6,5,5,1,1)",2362932,2362932,"exact",2362932,2362932],[2,18,"f","(6,5,5,2)",2042040,2032382,"lower bound",2032382,2042040],[2,18,"f","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[2,18,"f","(6,6,2,1,1,1,1)",2784600,2784600,"exact",2784600,2784600],[2,18,"f","(6,6,2,2,1,1)",4511052,4511052,"exact",4511052,4511052],[2,18,"f","(6,6,2,2,2)",2382380,2382380,"exact",2382380,2382380],[2,18,"f","(6,6,3,1,1,1)",4455360,4455360,"exact",4455360,4455360],[2,18,"f","(6,6,3,2,1)",6534528,6534528,"exact",6534528,6534528],[2,18,"f","(6,6,3,3)",1823250,1816813,"lower bound",1816813,1823250],[2,18,"f","(6,6,4,1,1)",3267264,3267264,"exact",3267264,3267264],[2,18,"f","(6,6,4,2)",2756754,2741874,"lower bound",2741874,2756754],[2,18,"f","(6,6,5,1)",1021020,1010358,"lower bound",1010358,1021020],[2,18,"f","(6,6,6)",87516,85584,"lower bound",85584,87516],[2,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[2,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[2,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[2,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,18,"f","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"f","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[2,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[2,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[2,18,"f","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[2,18,"f","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[2,18,"f","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[2,18,"f","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[2,18,"f","(7,3,3,2,1,1,1)",8078400,8078400,"exact",8078400,8078400],[2,18,"f","(7,3,3,2,2,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"f","(7,3,3,3,1,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"f","(7,3,3,3,2)",3508596,3508596,"exact",3508596,3508596],[2,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[2,18,"f","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[2,18,"f","(7,4,2,2,1,1,1)",9382912,9382912,"exact",9382912,9382912],[2,18,"f","(7,4,2,2,2,1)",8576568,8576568,"exact",8576568,8576568],[2,18,"f","(7,4,3,1,1,1,1)",8078400,8078400,"exact",8078400,8078400],[2,18,"f","(7,4,3,2,1,1)",16336320,16336320,"exact",16336320,16336320],[2,18,"f","(7,4,3,2,2)",9165312,9165312,"exact",9165312,9165312],[2,18,"f","(7,4,3,3,1)",8019648,8019648,"exact",8019648,8019648],[2,18,"f","(7,4,4,1,1,1)",5469750,5469750,"exact",5469750,5469750],[2,18,"f","(7,4,4,2,1)",8486400,8486400,"exact",8486400,8486400],[2,18,"f","(7,4,4,3)",2858856,2849339,"lower bound",2849339,2858856],[2,18,"f","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[2,18,"f","(7,5,2,1,1,1,1)",5937624,5937624,"exact",5937624,5937624],[2,18,"f","(7,5,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[2,18,"f","(7,5,2,2,2)",5012280,5012280,"exact",5012280,5012280],[2,18,"f","(7,5,3,1,1,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"f","(7,5,3,2,1)",13366080,13366080,"exact",13366080,13366080],[2,18,"f","(7,5,3,3)",3675672,3660574,"lower bound",3660574,3675672],[2,18,"f","(7,5,4,1,1)",6265350,6265350,"exact",6265350,6265350],[2,18,"f","(7,5,4,2)",5250960,5218667,"lower bound",5218667,5250960],[2,18,"f","(7,5,5,1)",1575288,1556984,"lower bound",1556984,1575288],[2,18,"f","(7,6,1,1,1,1,1)",1233792,1233792,"exact",1233792,1233792],[2,18,"f","(7,6,2,1,1,1)",4288284,4288284,"exact",4288284,4288284],[2,18,"f","(7,6,2,2,1)",4950400,4950400,"exact",4950400,4950400],[2,18,"f","(7,6,3,1,1)",5346432,5346432,"exact",5346432,5346432],[2,18,"f","(7,6,3,2)",4200768,4168701,"lower bound",4168701,4200768],[2,18,"f","(7,6,4,1)",2756754,2721344,"lower bound",2721344,2756754],[2,18,"f","(7,6,5)",466752,455059,"lower bound",455059,466752],[2,18,"f","(7,7,1,1,1,1)",556920,556920,"exact",556920,556920],[2,18,"f","(7,7,2,1,1)",1503684,1503684,"exact",1503684,1503684],[2,18,"f","(7,7,2,2)",952952,942490,"lower bound",942490,952952],[2,18,"f","(7,7,3,1)",1312740,1292022,"lower bound",1292022,1312740],[2,18,"f","(7,7,4)",364650,354388,"lower bound",354388,364650],[2,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[2,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[2,18,"f","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[2,18,"f","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[2,18,"f","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[2,18,"f","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[2,18,"f","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[2,18,"f","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[2,18,"f","(8,3,2,2,1,1,1)",4725864,4725864,"exact",4725864,4725864],[2,18,"f","(8,3,2,2,2,1)",4230144,4230144,"exact",4230144,4230144],[2,18,"f","(8,3,3,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[2,18,"f","(8,3,3,2,1,1)",6361740,6361740,"exact",6361740,6361740],[2,18,"f","(8,3,3,2,2)",3508596,3508596,"exact",3508596,3508596],[2,18,"f","(8,3,3,3,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"f","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[2,18,"f","(8,4,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[2,18,"f","(8,4,2,2,1,1)",7634088,7634088,"exact",7634088,7634088],[2,18,"f","(8,4,2,2,2)",3978000,3978000,"exact",3978000,3978000],[2,18,"f","(8,4,3,1,1,1)",6872250,6872250,"exact",6872250,6872250],[2,18,"f","(8,4,3,2,1)",9801792,9801792,"exact",9801792,9801792],[2,18,"f","(8,4,3,3)",2598960,2584691,"lower bound",2584691,2598960],[2,18,"f","(8,4,4,1,1)",3646500,3646500,"exact",3646500,3646500],[2,18,"f","(8,4,4,2)",3007368,2983453,"lower bound",2983453,3007368],[2,18,"f","(8,5,1,1,1,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"f","(8,5,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[2,18,"f","(8,5,2,2,1)",6126120,6126120,"exact",6126120,6126120],[2,18,"f","(8,5,3,1,1)",6432426,6432426,"exact",6432426,6432426],[2,18,"f","(8,5,3,2)",5012280,4966067,"lower bound",4966067,5012280],[2,18,"f","(8,5,4,1)",3055104,3008853,"lower bound",3008853,3055104],[2,18,"f","(8,5,5)",408408,396652,"lower bound",396652,408408],[2,18,"f","(8,6,1,1,1,1)",1272348,1272348,"exact",1272348,1272348],[2,18,"f","(8,6,2,1,1)",3403400,3403400,"exact",3403400,3403400],[2,18,"f","(8,6,2,2)",2148120,2121596,"lower bound",2121596,2148120],[2,18,"f","(8,6,3,1)",2923830,2872431,"lower bound",2872431,2923830],[2,18,"f","(8,6,4)",787644,763284,"lower bound",763284,787644],[2,18,"f","(8,7,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"f","(8,7,2,1)",1131520,1106298,"lower bound",1106298,1131520],[2,18,"f","(8,7,3)",510510,492428,"lower bound",492428,510510],[2,18,"f","(8,8,1,1)",143208,139048,"lower bound",139048,143208],[2,18,"f","(8,8,2)",136136,130515,"lower bound",130515,136136],[2,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[2,18,"f","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[2,18,"f","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[2,18,"f","(9,2,2,2,1,1,1)",1018368,1018368,"exact",1018368,1018368],[2,18,"f","(9,2,2,2,2,1)",875160,875160,"exact",875160,875160],[2,18,"f","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[2,18,"f","(9,3,2,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[2,18,"f","(9,3,2,2,1,1)",3222180,3222180,"exact",3222180,3222180],[2,18,"f","(9,3,2,2,2)",1649340,1649340,"exact",1649340,1649340],[2,18,"f","(9,3,3,1,1,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"f","(9,3,3,2,1)",3198720,3198720,"exact",3198720,3198720],[2,18,"f","(9,3,3,3)",779688,773906,"lower bound",773906,779688],[2,18,"f","(9,4,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,18,"f","(9,4,2,1,1,1)",3544398,3544398,"exact",3544398,3544398],[2,18,"f","(9,4,2,2,1)",3965760,3965760,"exact",3965760,3965760],[2,18,"f","(9,4,3,1,1)",3877632,3877632,"exact",3877632,3877632],[2,18,"f","(9,4,3,2)",2970240,2935843,"lower bound",2935843,2970240],[2,18,"f","(9,4,4,1)",1429428,1402525,"lower bound",1402525,1429428],[2,18,"f","(9,5,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[2,18,"f","(9,5,2,1,1)",3180870,3180870,"exact",3180870,3180870],[2,18,"f","(9,5,2,2)",1989000,1959786,"lower bound",1959786,1989000],[2,18,"f","(9,5,3,1)",2625480,2570824,"lower bound",2570824,2625480],[2,18,"f","(9,5,4)",649740,626220,"lower bound",626220,649740],[2,18,"f","(9,6,1,1,1)",837760,837760,"exact",837760,837760],[2,18,"f","(9,6,2,1)",1531530,1493078,"lower bound",1493078,1531530],[2,18,"f","(9,6,3)",678912,651976,"lower bound",651976,678912],[2,18,"f","(9,7,1,1)",340340,329652,"lower bound",329652,340340],[2,18,"f","(9,7,2)",322218,307897,"lower bound",307897,322218],[2,18,"f","(9,8,1)",70720,67584,"lower bound",67584,70718],[2,18,"f","(9,9)",4862,4777,"lower bound",4777,4856],[2,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,19,"f","(10,9)",16796,16456,"lower bound",16456,16794],[2,19,"f","(13,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[2,19,"f","(13,6)",15504,15084,"lower bound",15084,15496],[2,19,"f","(14,1,1,1,1,1)",8568,8568,"exact",8568,8568],[2,19,"f","(14,5)",7752,7457,"lower bound",7457,7742],[2,19,"f","(15,1,1,1,1)",3060,3060,"exact",3060,3060],[2,19,"f","(15,2,1,1)",9044,8438,"lower bound",8438,9044],[2,19,"f","(15,2,2)",5985,5613,"lower bound",5613,5984],[2,19,"f","(15,3,1)",8892,8119,"lower bound",8119,8879],[2,19,"f","(15,4)",2907,2679,"lower bound",2679,2895],[2,19,"f","(16,1,1,1)",816,675,"lower bound",675,816],[2,19,"f","(16,2,1)",1615,1314,"lower bound",1314,1600],[2,19,"f","(16,3)",798,641,"lower bound",641,784],[2,19,"f","(17,1,1)",153,78,"lower bound",78,136],[2,19,"f","(17,2)",152,78,"lower bound",78,136],[2,19,"f","(18,1)",18,0,"exact",0,0],[2,19,"f","(19)",1,0,"exact",0,0],[2,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[2,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[2,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,20,"f","(10,10)",16796,16456,"lower bound",16456,16795],[2,20,"f","(15,1,1,1,1,1)",11628,11628,"exact",11628,11628],[2,20,"f","(15,5)",10659,10136,"lower bound",10136,10648],[2,20,"f","(16,1,1,1,1)",3876,3876,"exact",3876,3876],[2,20,"f","(16,2,1,1)",11475,10427,"lower bound",10427,11475],[2,20,"f","(16,2,2)",7600,6927,"lower bound",6927,7599],[2,20,"f","(16,3,1)",11305,10074,"lower bound",10074,11291],[2,20,"f","(16,4)",3705,3320,"lower bound",3320,3692],[2,20,"f","(17,1,1,1)",969,753,"lower bound",753,969],[2,20,"f","(17,2,1)",1920,1470,"lower bound",1470,1904],[2,20,"f","(17,3)",950,719,"lower bound",719,935],[2,20,"f","(18,1,1)",171,78,"lower bound",78,153],[2,20,"f","(18,2)",170,78,"lower bound",78,153],[2,20,"f","(19,1)",19,0,"exact",0,0],[2,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[2,20,"f","(20)",1,0,"exact",0,0],[2,21,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,21,"f","(16,1,1,1,1,1)",15504,15504,"exact",15504,15504],[2,21,"f","(16,5)",14364,13456,"lower bound",13456,14352],[2,21,"f","(17,1,1,1,1)",4845,4845,"exact",4845,4845],[2,21,"f","(17,2,1,1)",14364,12650,"lower bound",12650,14364],[2,21,"f","(17,2,2)",9520,8397,"lower bound",8397,9519],[2,21,"f","(17,3,1)",14175,12263,"lower bound",12263,14160],[2,21,"f","(17,4)",4655,4039,"lower bound",4039,4641],[2,21,"f","(18,1,1,1)",1140,831,"lower bound",831,1140],[2,21,"f","(18,2,1)",2261,1626,"lower bound",1626,2244],[2,21,"f","(18,3)",1120,797,"lower bound",797,1104],[2,21,"f","(19,1,1)",190,78,"lower bound",78,171],[2,21,"f","(19,2)",189,78,"lower bound",78,171],[2,21,"f","(20,1)",20,0,"exact",0,0],[2,21,"f","(21)",1,0,"exact",0,0],[2,22,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,22,"f","(17,5)",19019,17495,"lower bound",17495,19006],[2,22,"f","(18,1,1,1,1)",5985,5985,"exact",5985,5985],[2,22,"f","(18,2,1,1)",17765,15107,"lower bound",15107,17765],[2,22,"f","(18,2,2)",11781,10023,"lower bound",10023,11780],[2,22,"f","(18,3,1)",17556,14686,"lower bound",14686,17540],[2,22,"f","(18,4)",5775,4836,"lower bound",4836,5760],[2,22,"f","(19,1,1,1)",1330,909,"lower bound",909,1330],[2,22,"f","(19,2,1)",2640,1782,"lower bound",1782,2622],[2,22,"f","(19,3)",1309,875,"lower bound",875,1292],[2,22,"f","(20,1,1)",210,78,"lower bound",78,190],[2,22,"f","(20,2)",209,78,"lower bound",78,190],[2,22,"f","(21,1)",21,0,"exact",0,0],[2,22,"f","(22)",1,0,"exact",0,0],[2,23,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,23,"f","(19,1,1,1,1)",7315,7315,"exact",7315,7315],[2,23,"f","(19,2,2)",14421,11805,"lower bound",11805,14420],[2,23,"f","(19,4)",7084,5711,"lower bound",5711,7068],[2,23,"f","(20,1,1,1)",1540,987,"lower bound",987,1540],[2,23,"f","(20,2,1)",3059,1938,"lower bound",1938,3040],[2,23,"f","(20,3)",1518,953,"lower bound",953,1500],[2,23,"f","(21,1,1)",231,78,"lower bound",78,210],[2,23,"f","(21,2)",230,78,"lower bound",78,210],[2,23,"f","(22,1)",22,0,"exact",0,0],[2,23,"f","(23)",1,0,"exact",0,0],[2,24,"f","(20,1,1,1,1)",8855,8855,"exact",8855,8855],[2,24,"f","(20,2,2)",17480,13743,"lower bound",13743,17479],[2,24,"f","(20,4)",8602,6664,"lower bound",6664,8585],[2,24,"f","(21,1,1,1)",1771,1065,"lower bound",1065,1771],[2,24,"f","(21,2,1)",3520,2094,"lower bound",2094,3500],[2,24,"f","(21,3)",1748,1031,"lower bound",1031,1729],[2,24,"f","(22,1,1)",253,78,"lower bound",78,231],[2,24,"f","(22,2)",252,78,"lower bound",78,231],[2,24,"f","(23,1)",23,0,"exact",0,0],[2,24,"f","(24)",1,0,"exact",0,0],[2,25,"f","(21,1,1,1,1)",10626,10626,"exact",10626,10626],[2,25,"f","(21,4)",10350,7695,"lower bound",7695,10332],[2,25,"f","(22,1,1,1)",2024,1143,"lower bound",1143,2024],[2,25,"f","(22,2,1)",4025,2250,"lower bound",2250,4004],[2,25,"f","(22,3)",2000,1109,"lower bound",1109,1980],[2,25,"f","(23,1,1)",276,78,"lower bound",78,253],[2,25,"f","(23,2)",275,78,"lower bound",78,253],[2,25,"f","(24,1)",24,0,"exact",0,0],[2,25,"f","(25)",1,0,"exact",0,0],[2,26,"f","(22,1,1,1,1)",12650,12650,"exact",12650,12650],[2,26,"f","(22,4)",12350,8804,"lower bound",8804,12331],[2,26,"f","(23,1,1,1)",2300,1221,"lower bound",1221,2300],[2,26,"f","(23,2,1)",4576,2406,"lower bound",2406,4554],[2,26,"f","(23,3)",2275,1187,"lower bound",1187,2254],[2,26,"f","(24,1,1)",300,78,"lower bound",78,276],[2,26,"f","(24,2)",299,78,"lower bound",78,276],[2,26,"f","(25,1)",25,0,"exact",0,0],[2,26,"f","(26)",1,0,"exact",0,0],[2,27,"f","(23,1,1,1,1)",14950,14950,"exact",14950,14950],[2,27,"f","(23,4)",14625,9991,"lower bound",9991,14605],[2,27,"f","(24,1,1,1)",2600,1299,"lower bound",1299,2600],[2,27,"f","(24,2,1)",5175,2562,"lower bound",2562,5152],[2,27,"f","(24,3)",2574,1265,"lower bound",1265,2552],[2,27,"f","(25,1,1)",325,78,"lower bound",78,300],[2,27,"f","(25,2)",324,78,"lower bound",78,300],[2,27,"f","(26,1)",26,0,"exact",0,0],[2,27,"f","(27)",1,0,"exact",0,0],[2,28,"f","(24,1,1,1,1)",17550,17550,"exact",17550,17550],[2,28,"f","(24,4)",17199,11256,"lower bound",11256,17178],[2,28,"f","(25,1,1,1)",2925,1377,"lower bound",1377,2925],[2,28,"f","(25,2,1)",5824,2718,"lower bound",2718,5800],[2,28,"f","(25,3)",2898,1343,"lower bound",1343,2875],[2,28,"f","(26,1,1)",351,78,"lower bound",78,325],[2,28,"f","(26,2)",350,78,"lower bound",78,325],[2,28,"f","(27,1)",27,0,"exact",0,0],[2,28,"f","(28)",1,0,"exact",0,0],[2,29,"f","(26,1,1,1)",3276,1455,"lower bound",1455,3276],[2,29,"f","(26,2,1)",6525,2874,"lower bound",2874,6500],[2,29,"f","(26,3)",3248,1421,"lower bound",1421,3224],[2,29,"f","(27,1,1)",378,78,"lower bound",78,351],[2,29,"f","(27,2)",377,78,"lower bound",78,351],[2,29,"f","(28,1)",28,0,"exact",0,0],[2,29,"f","(29)",1,0,"exact",0,0],[2,30,"f","(27,1,1,1)",3654,1533,"lower bound",1533,3654],[2,30,"f","(27,2,1)",7280,3030,"lower bound",3030,7254],[2,30,"f","(27,3)",3625,1499,"lower bound",1499,3600],[2,30,"f","(28,1,1)",406,78,"lower bound",78,378],[2,30,"f","(28,2)",405,78,"lower bound",78,378],[2,30,"f","(29,1)",29,0,"exact",0,0],[2,30,"f","(30)",1,0,"exact",0,0],[2,31,"f","(28,1,1,1)",4060,1611,"lower bound",1611,4060],[2,31,"f","(28,2,1)",8091,3186,"lower bound",3186,8064],[2,31,"f","(28,3)",4030,1577,"lower bound",1577,4004],[2,31,"f","(29,1,1)",435,78,"lower bound",78,406],[2,31,"f","(29,2)",434,78,"lower bound",78,406],[2,31,"f","(30,1)",30,0,"exact",0,0],[2,4,"p","(1,1,1,1)",1,1,"exact",1,1],[2,4,"p","(2,1,1)",3,0,"exact",0,0],[2,4,"p","(2,2)",2,0,"exact",0,0],[2,4,"p","(3,1)",3,0,"exact",0,0],[2,4,"p","(4)",1,0,"exact",0,0],[2,5,"p","(1,1,1,1,1)",1,0,"exact",0,0],[2,5,"p","(2,1,1,1)",4,2,"exact",2,2],[2,5,"p","(2,2,1)",5,1,"exact",1,1],[2,5,"p","(3,1,1)",6,1,"exact",1,1],[2,5,"p","(3,2)",5,1,"exact",1,1],[2,5,"p","(4,1)",4,0,"exact",0,0],[2,5,"p","(5)",1,0,"exact",0,0],[2,6,"p","(1,1,1,1,1,1)",1,1,"exact",1,1],[2,6,"p","(2,1,1,1,1)",5,2,"exact",2,2],[2,6,"p","(2,2,1,1)",9,4,"exact",4,4],[2,6,"p","(2,2,2)",5,1,"exact",1,1],[2,6,"p","(3,1,1,1)",10,4,"exact",4,4],[2,6,"p","(3,2,1)",16,5,"exact",5,5],[2,6,"p","(3,3)",5,1,"exact",1,1],[2,6,"p","(4,1,1)",10,2,"exact",2,2],[2,6,"p","(4,2)",9,2,"exact",2,2],[2,6,"p","(5,1)",5,0,"exact",0,0],[2,6,"p","(6)",1,0,"exact",0,0],[2,7,"p","(1,1,1,1,1,1,1)",1,0,"exact",0,0],[2,7,"p","(2,1,1,1,1,1)",6,3,"exact",3,3],[2,7,"p","(2,2,1,1,1)",14,6,"exact",6,6],[2,7,"p","(2,2,2,1)",14,6,"exact",6,6],[2,7,"p","(3,1,1,1,1)",15,6,"exact",6,6],[2,7,"p","(3,2,1,1)",35,14,"exact",14,14],[2,7,"p","(3,2,2)",21,7,"exact",7,7],[2,7,"p","(3,3,1)",21,7,"exact",7,7],[2,7,"p","(4,1,1,1)",20,7,"exact",7,7],[2,7,"p","(4,2,1)",35,11,"exact",11,11],[2,7,"p","(4,3)",14,4,"exact",4,4],[2,7,"p","(5,1,1)",15,3,"exact",3,3],[2,7,"p","(5,2)",14,3,"exact",3,3],[2,7,"p","(6,1)",6,0,"exact",0,0],[2,7,"p","(7)",1,0,"exact",0,0],[2,8,"p","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,8,"p","(2,1,1,1,1,1,1)",7,3,"exact",3,3],[2,8,"p","(2,2,1,1,1,1)",20,9,"exact",9,9],[2,8,"p","(2,2,2,1,1)",28,12,"exact",12,12],[2,8,"p","(2,2,2,2)",14,6,"exact",6,6],[2,8,"p","(3,1,1,1,1,1)",21,9,"exact",9,9],[2,8,"p","(3,2,1,1,1)",64,26,"exact",26,26],[2,8,"p","(3,2,2,1)",70,28,"exact",28,28],[2,8,"p","(3,3,1,1)",56,22,"exact",22,22],[2,8,"p","(3,3,2)",42,15,"exact",15,15],[2,8,"p","(4,1,1,1,1)",35,13,"exact",13,13],[2,8,"p","(4,2,1,1)",90,33,"exact",33,33],[2,8,"p","(4,2,2)",56,19,"exact",19,19],[2,8,"p","(4,3,1)",70,24,"exact",24,24],[2,8,"p","(4,4)",14,4,"exact",4,4],[2,8,"p","(5,1,1,1)",35,11,"exact",11,11],[2,8,"p","(5,2,1)",64,19,"exact",19,19],[2,8,"p","(5,3)",28,8,"exact",8,8],[2,8,"p","(6,1,1)",21,4,"exact",4,4],[2,8,"p","(6,2)",20,4,"exact",4,4],[2,8,"p","(7,1)",7,0,"exact",0,0],[2,8,"p","(8)",1,0,"exact",0,0],[2,9,"p","(1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[2,9,"p","(2,1,1,1,1,1,1,1)",8,4,"exact",4,4],[2,9,"p","(2,2,1,1,1,1,1)",27,12,"exact",12,12],[2,9,"p","(2,2,2,1,1,1)",48,21,"exact",21,21],[2,9,"p","(2,2,2,2,1)",42,18,"exact",18,18],[2,9,"p","(3,1,1,1,1,1,1)",28,12,"exact",12,12],[2,9,"p","(3,2,1,1,1,1)",105,44,"exact",44,44],[2,9,"p","(3,2,2,1,1)",162,66,"exact",66,66],[2,9,"p","(3,2,2,2)",84,34,"exact",34,34],[2,9,"p","(3,3,1,1,1)",120,48,"exact",48,48],[2,9,"p","(3,3,2,1)",168,66,"exact",66,66],[2,9,"p","(3,3,3)",42,15,"exact",15,15],[2,9,"p","(4,1,1,1,1,1)",56,22,"exact",22,22],[2,9,"p","(4,2,1,1,1)",189,72,"exact",72,72],[2,9,"p","(4,2,2,1)",216,81,"exact",81,81],[2,9,"p","(4,3,1,1)",216,80,"exact",80,80],[2,9,"p","(4,3,2)",168,60,"exact",60,60],[2,9,"p","(4,4,1)",84,29,"exact",29,29],[2,9,"p","(5,1,1,1,1)",70,24,"exact",24,24],[2,9,"p","(5,2,1,1)",189,64,"exact",64,64],[2,9,"p","(5,2,2)",120,39,"exact",39,39],[2,9,"p","(5,3,1)",162,53,"exact",53,53],[2,9,"p","(5,4)",42,13,"exact",13,13],[2,9,"p","(6,1,1,1)",56,16,"exact",16,16],[2,9,"p","(6,2,1)",105,29,"exact",29,29],[2,9,"p","(6,3)",48,13,"exact",13,13],[2,9,"p","(7,1,1)",28,5,"exact",5,5],[2,9,"p","(7,2)",27,5,"exact",5,5],[2,9,"p","(8,1)",8,0,"exact",0,0],[2,9,"p","(9)",1,0,"exact",0,0],[2,10,"p","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,10,"p","(2,1,1,1,1,1,1,1,1)",9,4,"exact",4,4],[2,10,"p","(2,2,1,1,1,1,1,1)",35,16,"exact",16,16],[2,10,"p","(2,2,2,1,1,1,1)",75,33,"exact",33,33],[2,10,"p","(2,2,2,2,1,1)",90,39,"exact",39,39],[2,10,"p","(2,2,2,2,2)",42,18,"exact",18,18],[2,10,"p","(3,1,1,1,1,1,1,1)",36,16,"exact",16,16],[2,10,"p","(3,2,1,1,1,1,1)",160,68,"exact",68,68],[2,10,"p","(3,2,2,1,1,1)",315,131,"exact",131,131],[2,10,"p","(3,2,2,2,1)",288,118,"exact",118,118],[2,10,"p","(3,3,1,1,1,1)",225,92,"exact",92,92],[2,10,"p","(3,3,2,1,1)",450,180,"exact",180,180],[2,10,"p","(3,3,2,2)",252,100,"exact",100,100],[2,10,"p","(3,3,3,1)",210,82,"exact",82,82],[2,10,"p","(4,1,1,1,1,1,1)",84,34,"exact",34,34],[2,10,"p","(4,2,1,1,1,1)",350,138,"exact",138,138],[2,10,"p","(4,2,2,1,1)",567,219,"exact",219,219],[2,10,"p","(4,2,2,2)",300,115,"exact",115,115],[2,10,"p","(4,3,1,1,1)",525,200,"exact",200,200],[2,10,"p","(4,3,2,1)",768,288,"exact",288,288],[2,10,"p","(4,3,3)",210,76,"exact",76,76],[2,10,"p","(4,4,1,1)",300,110,"exact",110,110],[2,10,"p","(4,4,2)",252,90,"exact",90,90],[2,10,"p","(5,1,1,1,1,1)",126,46,"exact",46,46],[2,10,"p","(5,2,1,1,1)",448,160,"exact",160,160],[2,10,"p","(5,2,2,1)",525,185,"exact",185,185],[2,10,"p","(5,3,1,1)",567,198,"exact",198,198],[2,10,"p","(5,3,2)",450,154,"exact",154,154],[2,10,"p","(5,4,1)",288,97,"exact",97,97],[2,10,"p","(5,5)",42,13,"exact",13,13],[2,10,"p","(6,1,1,1,1)",126,40,"exact",40,40],[2,10,"p","(6,2,1,1)",350,110,"exact",110,110],[2,10,"p","(6,2,2)",225,69,"exact",69,69],[2,10,"p","(6,3,1)",315,97,"exact",97,97],[2,10,"p","(6,4)",90,27,"exact",27,27],[2,10,"p","(7,1,1,1)",84,22,"exact",22,22],[2,10,"p","(7,2,1)",160,41,"exact",41,41],[2,10,"p","(7,3)",75,19,"exact",19,19],[2,10,"p","(8,1,1)",36,6,"exact",6,6],[2,10,"p","(8,2)",35,6,"exact",6,6],[2,10,"p","(9,1)",9,0,"exact",0,0],[2,10,"p","(10)",1,0,"exact",0,0],[2,11,"p","(1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[2,11,"p","(2,1,1,1,1,1,1,1,1,1)",10,5,"exact",5,5],[2,11,"p","(2,2,1,1,1,1,1,1,1)",44,20,"exact",20,20],[2,11,"p","(2,2,2,1,1,1,1,1)",110,49,"exact",49,49],[2,11,"p","(2,2,2,2,1,1,1)",165,72,"exact",72,72],[2,11,"p","(2,2,2,2,2,1)",132,57,"exact",57,57],[2,11,"p","(3,1,1,1,1,1,1,1,1)",45,20,"exact",20,20],[2,11,"p","(3,2,1,1,1,1,1,1)",231,100,"exact",100,100],[2,11,"p","(3,2,2,1,1,1,1)",550,232,"exact",232,232],[2,11,"p","(3,2,2,2,1,1)",693,288,"exact",288,288],[2,11,"p","(3,2,2,2,2)",330,136,"exact",136,136],[2,11,"p","(3,3,1,1,1,1,1)",385,160,"exact",160,160],[2,11,"p","(3,3,2,1,1,1)",990,403,"exact",403,403],[2,11,"p","(3,3,2,2,1)",990,398,"exact",398,398],[2,11,"p","(3,3,3,1,1)",660,262,"exact",262,262],[2,11,"p","(3,3,3,2)",462,182,"exact",182,182],[2,11,"p","(4,1,1,1,1,1,1,1)",120,50,"exact",50,50],[2,11,"p","(4,2,1,1,1,1,1)",594,240,"exact",240,240],[2,11,"p","(4,2,2,1,1,1)",1232,488,"exact",488,488],[2,11,"p","(4,2,2,2,1)",1155,452,"exact",452,452],[2,11,"p","(4,3,1,1,1,1)",1100,430,"exact",430,430],[2,11,"p","(4,3,2,1,1)",2310,887,"exact",887,887],[2,11,"p","(4,3,2,2)",1320,503,"exact",503,503],[2,11,"p","(4,3,3,1)",1188,447,"exact",447,447],[2,11,"p","(4,4,1,1,1)",825,310,"exact",310,310],[2,11,"p","(4,4,2,1)",1320,489,"exact",489,489],[2,11,"p","(4,4,3)",462,167,"exact",167,167],[2,11,"p","(5,1,1,1,1,1,1)",210,80,"exact",80,80],[2,11,"p","(5,2,1,1,1,1)",924,344,"exact",344,344],[2,11,"p","(5,2,2,1,1)",1540,564,"exact",564,564],[2,11,"p","(5,2,2,2)",825,300,"exact",300,300],[2,11,"p","(5,3,1,1,1)",1540,558,"exact",558,558],[2,11,"p","(5,3,2,1)",2310,826,"exact",826,826],[2,11,"p","(5,3,3)",660,231,"exact",231,231],[2,11,"p","(5,4,1,1)",1155,406,"exact",406,406],[2,11,"p","(5,4,2)",990,343,"exact",343,343],[2,11,"p","(5,5,1)",330,111,"exact",111,111],[2,11,"p","(6,1,1,1,1,1)",252,86,"exact",86,86],[2,11,"p","(6,2,1,1,1)",924,310,"exact",310,310],[2,11,"p","(6,2,2,1)",1100,365,"exact",365,365],[2,11,"p","(6,3,1,1)",1232,406,"exact",406,406],[2,11,"p","(6,3,2)",990,322,"exact",322,322],[2,11,"p","(6,4,1)",693,223,"exact",223,223],[2,11,"p","(6,5)",132,41,"exact",41,41],[2,11,"p","(7,1,1,1,1)",210,62,"exact",62,62],[2,11,"p","(7,2,1,1)",594,174,"exact",174,174],[2,11,"p","(7,2,2)",385,111,"exact",111,111],[2,11,"p","(7,3,1)",550,159,"exact",159,159],[2,11,"p","(7,4)",165,47,"exact",47,47],[2,11,"p","(8,1,1,1)",120,29,"exact",29,29],[2,11,"p","(8,2,1)",231,55,"exact",55,55],[2,11,"p","(8,3)",110,26,"exact",26,26],[2,11,"p","(9,1,1)",45,7,"exact",7,7],[2,11,"p","(9,2)",44,7,"exact",7,7],[2,11,"p","(10,1)",10,0,"exact",0,0],[2,11,"p","(11)",1,0,"exact",0,0],[2,12,"p","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,12,"p","(2,1,1,1,1,1,1,1,1,1,1)",11,5,"exact",5,5],[2,12,"p","(2,2,1,1,1,1,1,1,1,1)",54,25,"exact",25,25],[2,12,"p","(2,2,2,1,1,1,1,1,1)",154,69,"exact",69,69],[2,12,"p","(2,2,2,2,1,1,1,1)",275,121,"exact",121,121],[2,12,"p","(2,2,2,2,2,1,1)",297,129,"exact",129,129],[2,12,"p","(2,2,2,2,2,2)",132,57,"exact",57,57],[2,12,"p","(3,1,1,1,1,1,1,1,1,1)",55,25,"exact",25,25],[2,12,"p","(3,2,1,1,1,1,1,1,1)",320,140,"exact",140,140],[2,12,"p","(3,2,2,1,1,1,1,1)",891,381,"exact",381,381],[2,12,"p","(3,2,2,2,1,1,1)",1408,592,"exact",592,592],[2,12,"p","(3,2,2,2,2,1)",1155,481,"exact",481,481],[2,12,"p","(3,3,1,1,1,1,1,1)",616,260,"exact",260,260],[2,12,"p","(3,3,2,1,1,1,1)",1925,795,"exact",795,795],[2,12,"p","(3,3,2,2,1,1)",2673,1089,"exact",1089,1089],[2,12,"p","(3,3,2,2,2)",1320,534,"exact",534,534],[2,12,"p","(3,3,3,1,1,1)",1650,665,"exact",665,665],[2,12,"p","(3,3,3,2,1)",2112,842,"exact",842,842],[2,12,"p","(3,3,3,3)",462,182,"exact",182,182],[2,12,"p","(4,1,1,1,1,1,1,1,1)",165,70,"exact",70,70],[2,12,"p","(4,2,1,1,1,1,1,1)",945,390,"exact",390,390],[2,12,"p","(4,2,2,1,1,1,1)",2376,960,"exact",960,960],[2,12,"p","(4,2,2,2,1,1)",3080,1228,"exact",1228,1228],[2,12,"p","(4,2,2,2,2)",1485,588,"exact",588,588],[2,12,"p","(4,3,1,1,1,1,1)",2079,830,"exact",830,830],[2,12,"p","(4,3,2,1,1,1)",5632,2208,"exact",2208,2208],[2,12,"p","(4,3,2,2,1)",5775,2240,"exact",2240,2240],[2,12,"p","(4,3,3,1,1)",4158,1596,"exact",1596,1596],[2,12,"p","(4,3,3,2)",2970,1132,"exact",1132,1132],[2,12,"p","(4,4,1,1,1,1)",1925,740,"exact",740,740],[2,12,"p","(4,4,2,1,1)",4455,1686,"exact",1686,1686],[2,12,"p","(4,4,2,2)",2640,992,"exact",992,992],[2,12,"p","(4,4,3,1)",2970,1104,"exact",1104,1104],[2,12,"p","(4,4,4)",462,164,"lower bound",164,167],[2,12,"p","(5,1,1,1,1,1,1,1)",330,130,"exact",130,130],[2,12,"p","(5,2,1,1,1,1,1)",1728,664,"exact",664,664],[2,12,"p","(5,2,2,1,1,1)",3696,1396,"exact",1396,1396],[2,12,"p","(5,2,2,2,1)",3520,1316,"exact",1316,1316],[2,12,"p","(5,3,1,1,1,1)",3564,1332,"exact",1332,1332],[2,12,"p","(5,3,2,1,1)",7700,2835,"exact",2835,2835],[2,12,"p","(5,3,2,2)",4455,1629,"exact",1629,1629],[2,12,"p","(5,3,3,1)",4158,1505,"exact",1505,1505],[2,12,"p","(5,4,1,1,1)",3520,1274,"exact",1274,1274],[2,12,"p","(5,4,2,1)",5775,2065,"exact",2065,2065],[2,12,"p","(5,4,3)",2112,721,"lower bound",721,743],[2,12,"p","(5,5,1,1)",1485,518,"exact",518,518],[2,12,"p","(5,5,2)",1320,439,"lower bound",439,455],[2,12,"p","(6,1,1,1,1,1,1)",462,166,"exact",166,166],[2,12,"p","(6,2,1,1,1,1)",2100,740,"exact",740,740],[2,12,"p","(6,2,2,1,1)",3564,1239,"exact",1239,1239],[2,12,"p","(6,2,2,2)",1925,665,"exact",665,665],[2,12,"p","(6,3,1,1,1)",3696,1274,"exact",1274,1274],[2,12,"p","(6,3,2,1)",5632,1920,"exact",1920,1920],[2,12,"p","(6,3,3)",1650,534,"lower bound",534,554],[2,12,"p","(6,4,1,1)",3080,1036,"exact",1036,1036],[2,12,"p","(6,4,2)",2673,851,"lower bound",851,890],[2,12,"p","(6,5,1)",1155,353,"lower bound",353,377],[2,12,"p","(6,6)",132,37,"lower bound",37,41],[2,12,"p","(7,1,1,1,1,1)",462,148,"exact",148,148],[2,12,"p","(7,2,1,1,1)",1728,546,"exact",546,546],[2,12,"p","(7,2,2,1)",2079,651,"exact",651,651],[2,12,"p","(7,3,1,1)",2376,740,"exact",740,740],[2,12,"p","(7,3,2)",1925,552,"lower bound",552,594],[2,12,"p","(7,4,1)",1408,393,"lower bound",393,431],[2,12,"p","(7,5)",297,84,"lower bound",84,89],[2,12,"p","(8,1,1,1,1)",330,91,"exact",91,91],[2,12,"p","(8,2,1,1)",945,259,"exact",259,259],[2,12,"p","(8,2,2)",616,162,"lower bound",162,167],[2,12,"p","(8,3,1)",891,202,"lower bound",202,242],[2,12,"p","(8,4)",275,69,"lower bound",69,74],[2,12,"p","(9,1,1,1)",165,37,"exact",37,37],[2,12,"p","(9,2,1)",320,70,"lower bound",70,71],[2,12,"p","(9,3)",154,32,"lower bound",32,34],[2,12,"p","(11,1)",11,0,"exact",0,0],[2,12,"p","(12)",1,0,"exact",0,0],[2,12,"p","(10,1,1)",55,8,"exact",8,8],[2,12,"p","(10,2)",54,8,"exact",8,8],[2,13,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[2,13,"p","(2,1,1,1,1,1,1,1,1,1,1,1)",12,6,"exact",6,6],[2,13,"p","(2,2,1,1,1,1,1,1,1,1,1)",65,30,"exact",30,30],[2,13,"p","(2,2,2,1,1,1,1,1,1,1)",208,94,"exact",94,94],[2,13,"p","(2,2,2,2,1,1,1,1,1)",429,190,"exact",190,190],[2,13,"p","(2,2,2,2,2,1,1,1)",572,250,"exact",250,250],[2,13,"p","(2,2,2,2,2,2,1)",429,186,"exact",186,186],[2,13,"p","(3,1,1,1,1,1,1,1,1,1,1)",66,30,"exact",30,30],[2,13,"p","(3,2,1,1,1,1,1,1,1,1)",429,190,"exact",190,190],[2,13,"p","(3,2,2,1,1,1,1,1,1)",1365,590,"exact",590,590],[2,13,"p","(3,2,2,2,1,1,1,1)",2574,1094,"exact",1094,1094],[2,13,"p","(3,2,2,2,2,1,1)",2860,1202,"exact",1202,1202],[2,13,"p","(3,2,2,2,2,2)",1287,538,"exact",538,538],[2,13,"p","(3,3,1,1,1,1,1,1,1)",936,400,"exact",400,400],[2,13,"p","(3,3,2,1,1,1,1,1)",3432,1436,"exact",1436,1436],[2,13,"p","(3,3,2,2,1,1,1)",6006,2476,"exact",2476,2476],[2,13,"p","(3,3,2,2,2,1)",5148,2104,"exact",2104,2104],[2,13,"p","(3,3,3,1,1,1,1)",3575,1460,"exact",1460,1460],[2,13,"p","(3,3,3,2,1,1)",6435,2596,"exact",2596,2596],[2,13,"p","(3,3,3,2,2)",3432,1376,"exact",1376,1376],[2,13,"p","(3,3,3,3,1)",2574,1024,"exact",1024,1024],[2,13,"p","(4,1,1,1,1,1,1,1,1,1)",220,95,"exact",95,95],[2,13,"p","(4,2,1,1,1,1,1,1,1)",1430,600,"exact",600,600],[2,13,"p","(4,2,2,1,1,1,1,1)",4212,1731,"exact",1731,1731],[2,13,"p","(4,2,2,2,1,1,1)",6864,2780,"exact",2780,2780],[2,13,"p","(4,2,2,2,2,1)",5720,2297,"exact",2297,2297],[2,13,"p","(4,3,1,1,1,1,1,1)",3640,1480,"exact",1480,1480],[2,13,"p","(4,3,2,1,1,1,1)",12012,4793,"exact",4793,4793],[2,13,"p","(4,3,2,2,1,1)",17160,6765,"exact",6765,6765],[2,13,"p","(4,3,2,2,2)",8580,3362,"exact",3362,3362],[2,13,"p","(4,3,3,1,1,1)",11440,4469,"exact",4469,4469],[2,13,"p","(4,3,3,2,1)",15015,5810,"exact",5810,5810],[2,13,"p","(4,3,3,3)",3432,1314,"exact",1314,1314],[2,13,"p","(4,4,1,1,1,1,1)",4004,1570,"exact",1570,1570],[2,13,"p","(4,4,2,1,1,1)",12012,4634,"exact",4634,4634],[2,13,"p","(4,4,2,2,1)",12870,4918,"exact",4918,4918],[2,13,"p","(4,4,3,1,1)",11583,4386,"exact",4386,4386],[2,13,"p","(4,4,3,2)",8580,3228,"exact",3228,3228],[2,13,"p","(4,4,4,1)",3432,1272,"exact",1272,1272],[2,13,"p","(5,1,1,1,1,1,1,1,1)",495,200,"exact",200,200],[2,13,"p","(5,2,1,1,1,1,1,1)",3003,1184,"exact",1184,1184],[2,13,"p","(5,2,2,1,1,1,1)",7800,3020,"exact",3020,3020],[2,13,"p","(5,2,2,2,1,1)",10296,3940,"exact",3940,3940],[2,13,"p","(5,2,2,2,2)",5005,1904,"exact",1904,1904],[2,13,"p","(5,3,1,1,1,1,1)",7371,2826,"exact",2826,2826],[2,13,"p","(5,3,2,1,1,1)",20592,7771,"exact",7771,7771],[2,13,"p","(5,3,2,2,1)",21450,8020,"exact",8020,8020],[2,13,"p","(5,3,3,1,1)",16016,5936,"exact",5936,5936],[2,13,"p","(5,3,3,2)",11583,4266,"exact",4266,4266],[2,13,"p","(5,4,1,1,1,1)",9009,3346,"exact",3346,3346],[2,13,"p","(5,4,2,1,1)",21450,7860,"exact",7860,7860],[2,13,"p","(5,4,2,2)",12870,4686,"exact",4686,4686],[2,13,"p","(5,4,3,1)",15015,5418,"exact",5418,5418],[2,13,"p","(5,4,4)",2574,875,"lower bound",875,912],[2,13,"p","(5,5,1,1,1)",5005,1792,"exact",1792,1792],[2,13,"p","(5,5,2,1)",8580,3039,"exact",3039,3039],[2,13,"p","(5,5,3)",3432,1145,"lower bound",1145,1200],[2,13,"p","(6,1,1,1,1,1,1,1)",792,296,"exact",296,296],[2,13,"p","(6,2,1,1,1,1,1)",4290,1570,"exact",1570,1570],[2,13,"p","(6,2,2,1,1,1)",9360,3375,"exact",3375,3375],[2,13,"p","(6,2,2,2,1)",9009,3220,"exact",3220,3220],[2,13,"p","(6,3,1,1,1,1)",9360,3346,"exact",3346,3346],[2,13,"p","(6,3,2,1,1)",20592,7268,"exact",7268,7268],[2,13,"p","(6,3,2,2)",12012,4214,"exact",4214,4214],[2,13,"p","(6,3,3,1)",11440,3980,"exact",3980,3980],[2,13,"p","(6,4,1,1,1)",10296,3584,"exact",3584,3584],[2,13,"p","(6,4,2,1)",17160,5912,"exact",5912,5912],[2,13,"p","(6,4,3)",6435,2073,"lower bound",2073,2190],[2,13,"p","(6,5,1,1)",5720,1932,"exact",1932,1932],[2,13,"p","(6,5,2)",5148,1610,"lower bound",1610,1725],[2,13,"p","(6,6,1)",1287,377,"lower bound",377,420],[2,13,"p","(7,1,1,1,1,1,1)",924,314,"exact",314,314],[2,13,"p","(7,2,1,1,1,1)",4290,1434,"exact",1434,1434],[2,13,"p","(7,2,2,1,1)",7371,2436,"exact",2436,2436],[2,13,"p","(7,2,2,2)",4004,1316,"exact",1316,1316],[2,13,"p","(7,3,1,1,1)",7800,2560,"exact",2560,2560],[2,13,"p","(7,3,2,1)",12012,3906,"exact",3906,3906],[2,13,"p","(7,3,3)",3575,1061,"lower bound",1061,1150],[2,13,"p","(7,4,1,1)",6864,2208,"exact",2208,2208],[2,13,"p","(7,4,2)",6006,1745,"lower bound",1745,1918],[2,13,"p","(7,5,1)",2860,795,"lower bound",795,900],[2,13,"p","(7,6)",429,127,"lower bound",127,132],[2,13,"p","(8,1,1,1,1,1)",792,239,"exact",239,239],[2,13,"p","(8,2,1,1,1)",3003,896,"exact",896,896],[2,13,"p","(8,2,2,1)",3640,1078,"exact",1078,1078],[2,13,"p","(8,3,1,1)",4212,1242,"exact",1242,1242],[2,13,"p","(8,3,2)",3432,867,"lower bound",867,1006],[2,13,"p","(8,4,1)",2574,618,"lower bound",618,750],[2,13,"p","(8,5)",572,160,"lower bound",160,165],[2,13,"p","(9,1,1,1,1)",495,128,"exact",128,128],[2,13,"p","(9,2,1,1)",1430,368,"exact",368,368],[2,13,"p","(9,2,2)",936,235,"lower bound",235,240],[2,13,"p","(9,3,1)",1365,297,"lower bound",297,350],[2,13,"p","(9,4)",429,105,"lower bound",105,110],[2,13,"p","(10,1,1,1)",220,46,"exact",46,46],[2,13,"p","(10,2,1)",429,89,"lower bound",89,90],[2,13,"p","(10,3)",208,42,"lower bound",42,44],[2,13,"p","(12,1)",12,0,"exact",0,0],[2,13,"p","(13)",1,0,"exact",0,0],[2,13,"p","(11,1,1)",66,9,"exact",9,9],[2,13,"p","(11,2)",65,9,"exact",9,9],[2,14,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,14,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,6,"exact",6,6],[2,14,"p","(2,2,1,1,1,1,1,1,1,1,1,1)",77,36,"exact",36,36],[2,14,"p","(2,2,2,1,1,1,1,1,1,1,1)",273,124,"exact",124,124],[2,14,"p","(2,2,2,2,1,1,1,1,1,1)",637,284,"exact",284,284],[2,14,"p","(2,2,2,2,2,1,1,1,1)",1001,440,"exact",440,440],[2,14,"p","(2,2,2,2,2,2,1,1)",1001,436,"exact",436,436],[2,14,"p","(2,2,2,2,2,2,2)",429,186,"exact",186,186],[2,14,"p","(3,1,1,1,1,1,1,1,1,1,1,1)",78,36,"exact",36,36],[2,14,"p","(3,2,1,1,1,1,1,1,1,1,1)",560,250,"exact",250,250],[2,14,"p","(3,2,2,1,1,1,1,1,1,1)",2002,874,"exact",874,874],[2,14,"p","(3,2,2,2,1,1,1,1,1)",4368,1874,"exact",1874,1874],[2,14,"p","(3,2,2,2,2,1,1,1)",6006,2546,"exact",2546,2546],[2,14,"p","(3,2,2,2,2,2,1)",4576,1926,"exact",1926,1926],[2,14,"p","(3,3,1,1,1,1,1,1,1,1)",1365,590,"exact",590,590],[2,14,"p","(3,3,2,1,1,1,1,1,1)",5733,2426,"exact",2426,2426],[2,14,"p","(3,3,2,2,1,1,1,1)",12012,5006,"exact",5006,5006],[2,14,"p","(3,3,2,2,2,1,1)",14014,5782,"exact",5782,5782],[2,14,"p","(3,3,2,2,2,2)",6435,2642,"exact",2642,2642],[2,14,"p","(3,3,3,1,1,1,1,1)",7007,2896,"exact",2896,2896],[2,14,"p","(3,3,3,2,1,1,1)",16016,6532,"exact",6532,6532],[2,14,"p","(3,3,3,2,2,1)",15015,6076,"exact",6076,6076],[2,14,"p","(3,3,3,3,1,1)",9009,3620,"exact",3620,3620],[2,14,"p","(3,3,3,3,2)",6006,2400,"exact",2400,2400],[2,14,"p","(4,1,1,1,1,1,1,1,1,1,1)",286,125,"exact",125,125],[2,14,"p","(4,2,1,1,1,1,1,1,1,1)",2079,885,"exact",885,885],[2,14,"p","(4,2,2,1,1,1,1,1,1)",7007,2921,"exact",2921,2921],[2,14,"p","(4,2,2,2,1,1,1,1)",13650,5605,"exact",5605,5605],[2,14,"p","(4,2,2,2,2,1,1)",15444,6279,"exact",6279,6279],[2,14,"p","(4,2,2,2,2,2)",7007,2835,"exact",2835,2835],[2,14,"p","(4,3,1,1,1,1,1,1,1)",6006,2480,"exact",2480,2480],[2,14,"p","(4,3,2,1,1,1,1,1)",23296,9440,"exact",9440,9440],[2,14,"p","(4,3,2,2,1,1,1)",42042,16814,"exact",16814,16814],[2,14,"p","(4,3,2,2,2,1)",36608,14528,"exact",14528,14528],[2,14,"p","(4,3,3,1,1,1,1)",27027,10722,"exact",10722,10722],[2,14,"p","(4,3,3,2,1,1)",50050,19640,"exact",19640,19640],[2,14,"p","(4,3,3,2,2)",27027,10548,"exact",10548,10548],[2,14,"p","(4,3,3,3,1)",21021,8148,"exact",8148,8148],[2,14,"p","(4,4,1,1,1,1,1,1)",7644,3050,"exact",3050,3050],[2,14,"p","(4,4,2,1,1,1,1)",28028,10997,"exact",10997,10997],[2,14,"p","(4,4,2,2,1,1)",42042,16317,"exact",16317,16317],[2,14,"p","(4,4,2,2,2)",21450,8280,"exact",8280,8280],[2,14,"p","(4,4,3,1,1,1)",35035,13489,"exact",13489,13489],[2,14,"p","(4,4,3,2,1)",48048,18342,"exact",18342,18342],[2,14,"p","(4,4,3,3)",12012,4542,"exact",4542,4542],[2,14,"p","(4,4,4,1,1)",15015,5658,"exact",5658,5658],[2,14,"p","(4,4,4,2)",12012,4500,"exact",4500,4500],[2,14,"p","(5,1,1,1,1,1,1,1,1,1)",715,295,"exact",295,295],[2,14,"p","(5,2,1,1,1,1,1,1,1)",4928,1984,"exact",1984,1984],[2,14,"p","(5,2,2,1,1,1,1,1)",15015,5935,"exact",5935,5935],[2,14,"p","(5,2,2,2,1,1,1)",24960,9740,"exact",9740,9740],[2,14,"p","(5,2,2,2,2,1)",21021,8141,"exact",8141,8141],[2,14,"p","(5,3,1,1,1,1,1,1)",14014,5490,"exact",5490,5490],[2,14,"p","(5,3,2,1,1,1,1)",47775,18410,"exact",18410,18410],[2,14,"p","(5,3,2,2,1,1)",69498,26496,"exact",26496,26496],[2,14,"p","(5,3,2,2,2)",35035,13286,"exact",13286,13286],[2,14,"p","(5,3,3,1,1,1)",48048,18176,"exact",18176,18176],[2,14,"p","(5,3,3,2,1)",64064,24032,"exact",24032,24032],[2,14,"p","(5,3,3,3)",15015,5580,"exact",5580,5580],[2,14,"p","(5,4,1,1,1,1,1)",20384,7742,"exact",7742,7742],[2,14,"p","(5,4,2,1,1,1)",63063,23611,"exact",23611,23611],[2,14,"p","(5,4,2,2,1)",68640,25484,"exact",25484,25484],[2,14,"p","(5,4,3,1,1)",64064,23600,"exact",23600,23600],[2,14,"p","(5,4,3,2)",48048,17598,"exact",17598,17598],[2,14,"p","(5,4,4,1)",21021,7602,"exact",7602,7602],[2,14,"p","(5,5,1,1,1,1)",14014,5138,"exact",5138,5138],[2,14,"p","(5,5,2,1,1)",35035,12691,"exact",12691,12691],[2,14,"p","(5,5,2,2)",21450,7725,"exact",7725,7725],[2,14,"p","(5,5,3,1)",27027,9657,"exact",9657,9657],[2,14,"p","(5,5,4)",6006,2007,"lower bound",2007,2112],[2,14,"p","(6,1,1,1,1,1,1,1,1)",1287,496,"exact",496,496],[2,14,"p","(6,2,1,1,1,1,1,1)",8085,3050,"exact",3050,3050],[2,14,"p","(6,2,2,1,1,1,1)",21450,7965,"exact",7965,7965],[2,14,"p","(6,2,2,2,1,1)",28665,10535,"exact",10535,10535],[2,14,"p","(6,2,2,2,2)",14014,5124,"exact",5124,5124],[2,14,"p","(6,3,1,1,1,1,1)",21021,7742,"exact",7742,7742],[2,14,"p","(6,3,2,1,1,1)",59904,21760,"exact",21760,21760],[2,14,"p","(6,3,2,2,1)",63063,22722,"exact",22722,22722],[2,14,"p","(6,3,3,1,1)",48048,17184,"exact",17184,17184],[2,14,"p","(6,3,3,2)",35035,12460,"exact",12460,12460],[2,14,"p","(6,4,1,1,1,1)",28665,10276,"exact",10276,10276],[2,14,"p","(6,4,2,1,1)",69498,24624,"exact",24624,24624],[2,14,"p","(6,4,2,2)",42042,14812,"exact",14812,14812],[2,14,"p","(6,4,3,1)",50050,17500,"exact",17500,17500],[2,14,"p","(6,4,4)",9009,2928,"lower bound",2928,3102],[2,14,"p","(6,5,1,1,1)",21021,7308,"exact",7308,7308],[2,14,"p","(6,5,2,1)",36608,12608,"exact",12608,12608],[2,14,"p","(6,5,3)",15015,4791,"lower bound",4791,5115],[2,14,"p","(6,6,1,1)",7007,2352,"exact",2352,2352],[2,14,"p","(6,6,2)",6435,1965,"lower bound",1965,2145],[2,14,"p","(7,1,1,1,1,1,1,1)",1716,610,"exact",610,610],[2,14,"p","(7,2,1,1,1,1,1)",9504,3318,"exact",3318,3318],[2,14,"p","(7,2,2,1,1,1)",21021,7245,"exact",7245,7245],[2,14,"p","(7,2,2,2,1)",20384,6972,"exact",6972,6972],[2,14,"p","(7,3,1,1,1,1)",21450,7340,"exact",7340,7340],[2,14,"p","(7,3,2,1,1)",47775,16170,"exact",16170,16170],[2,14,"p","(7,3,2,2)",28028,9436,"exact",9436,9436],[2,14,"p","(7,3,3,1)",27027,9036,"exact",9036,9036],[2,14,"p","(7,4,1,1,1)",24960,8352,"exact",8352,8352],[2,14,"p","(7,4,2,1)",42042,13944,"exact",13944,13944],[2,14,"p","(7,4,3)",16016,4830,"lower bound",4830,5258],[2,14,"p","(7,5,1,1)",15444,5040,"exact",5040,5040],[2,14,"p","(7,5,2)",14014,4095,"lower bound",4095,4543],[2,14,"p","(7,6,1)",4576,1259,"lower bound",1259,1452],[2,14,"p","(7,7)",429,127,"lower bound",127,132],[2,14,"p","(8,1,1,1,1,1,1)",1716,553,"exact",553,553],[2,14,"p","(8,2,1,1,1,1)",8085,2569,"exact",2569,2569],[2,14,"p","(8,2,2,1,1)",14014,4410,"exact",4410,4410],[2,14,"p","(8,2,2,2)",7644,2394,"exact",2394,2394],[2,14,"p","(8,3,1,1,1)",15015,4698,"exact",4698,4698],[2,14,"p","(8,3,2,1)",23296,7232,"exact",7232,7232],[2,14,"p","(8,3,3)",7007,1895,"lower bound",1895,2156],[2,14,"p","(8,4,1,1)",13650,4200,"exact",4200,4200],[2,14,"p","(8,4,2)",12012,3162,"lower bound",3162,3674],[2,14,"p","(8,5,1)",6006,1514,"lower bound",1514,1815],[2,14,"p","(8,6)",1001,292,"lower bound",292,297],[2,14,"p","(9,1,1,1,1,1)",1287,367,"exact",367,367],[2,14,"p","(9,2,1,1,1)",4928,1392,"exact",1392,1392],[2,14,"p","(9,2,2,1)",6006,1686,"exact",1686,1686],[2,14,"p","(9,3,1,1)",7007,1960,"exact",1960,1960],[2,14,"p","(9,3,2)",5733,1337,"lower bound",1337,1596],[2,14,"p","(9,4,1)",4368,959,"lower bound",959,1210],[2,14,"p","(9,5)",1001,269,"lower bound",269,275],[2,14,"p","(10,1,1,1,1)",715,174,"exact",174,174],[2,14,"p","(10,2,1,1)",2079,504,"exact",504,504],[2,14,"p","(10,2,2)",1365,326,"lower bound",326,330],[2,14,"p","(10,3,1)",2002,431,"lower bound",431,484],[2,14,"p","(10,4)",637,149,"lower bound",149,154],[2,14,"p","(11,1,1,1)",286,56,"exact",56,56],[2,14,"p","(13,1)",13,0,"exact",0,0],[2,14,"p","(14)",1,0,"exact",0,0],[2,14,"p","(11,2,1)",560,107,"lower bound",107,110],[2,14,"p","(11,3)",273,53,"lower bound",53,54],[2,14,"p","(12,1,1)",78,10,"exact",10,10],[2,14,"p","(12,2)",77,10,"exact",10,10],[2,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[2,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,7,"exact",7,7],[2,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,42,"exact",42,42],[2,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,160,"exact",160,160],[2,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,408,"exact",408,408],[2,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,724,"exact",724,724],[2,15,"p","(2,2,2,2,2,2,1,1,1)",2002,876,"exact",876,876],[2,15,"p","(2,2,2,2,2,2,2,1)",1430,622,"exact",622,622],[2,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,42,"exact",42,42],[2,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,322,"exact",322,322],[2,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,1248,"exact",1248,1248],[2,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,3032,"exact",3032,3032],[2,15,"p","(3,2,2,2,2,1,1,1,1)",11375,4860,"exact",4860,4860],[2,15,"p","(3,2,2,2,2,2,1,1)",11583,4908,"exact",4908,4908],[2,15,"p","(3,2,2,2,2,2,2)",5005,2112,"exact",2112,2112],[2,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,840,"exact",840,840],[2,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,3890,"exact",3890,3890],[2,15,"p","(3,3,2,2,1,1,1,1,1)",22113,9306,"exact",9306,9306],[2,15,"p","(3,3,2,2,2,1,1,1)",32032,13334,"exact",13334,13334],[2,15,"p","(3,3,2,2,2,2,1)",25025,10350,"exact",10350,10350],[2,15,"p","(3,3,3,1,1,1,1,1,1)",12740,5322,"exact",5322,5322],[2,15,"p","(3,3,3,2,1,1,1,1)",35035,14434,"exact",14434,14434],[2,15,"p","(3,3,3,2,2,1,1)",45045,18390,"exact",18390,18390],[2,15,"p","(3,3,3,2,2,2)",21450,8718,"exact",8718,8718],[2,15,"p","(3,3,3,3,1,1,1)",25025,10152,"exact",10152,10152],[2,15,"p","(3,3,3,3,2,1)",30030,12096,"exact",12096,12096],[2,15,"p","(3,3,3,3,3)",6006,2400,"exact",2400,2400],[2,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,161,"exact",161,161],[2,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,1260,"exact",1260,1260],[2,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,4680,"exact",4680,4680],[2,15,"p","(4,2,2,2,1,1,1,1,1)",25025,10400,"exact",10400,10400],[2,15,"p","(4,2,2,2,2,1,1,1)",35100,14430,"exact",14430,14430],[2,15,"p","(4,2,2,2,2,2,1)",27027,11040,"exact",11040,11040],[2,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,3955,"exact",3955,3955],[2,15,"p","(4,3,2,1,1,1,1,1,1)",42042,17267,"exact",17267,17267],[2,15,"p","(4,3,2,2,1,1,1,1)",91000,36865,"exact",36865,36865],[2,15,"p","(4,3,2,2,2,1,1)",108108,43403,"exact",43403,43403],[2,15,"p","(4,3,2,2,2,2)",50050,20005,"exact",20005,20005],[2,15,"p","(4,3,3,1,1,1,1,1)",57330,23058,"exact",23058,23058],[2,15,"p","(4,3,3,2,1,1,1)",135135,53708,"exact",53708,53708],[2,15,"p","(4,3,3,2,2,1)",128700,50792,"exact",50792,50792],[2,15,"p","(4,3,3,3,1,1)",80080,31408,"exact",31408,31408],[2,15,"p","(4,3,3,3,2)",54054,21096,"exact",21096,21096],[2,15,"p","(4,4,1,1,1,1,1,1,1)",13650,5530,"exact",5530,5530],[2,15,"p","(4,4,2,1,1,1,1,1)",58968,23487,"exact",23487,23487],[2,15,"p","(4,4,2,2,1,1,1)",112112,44128,"exact",44128,44128],[2,15,"p","(4,4,2,2,2,1)",100100,39125,"exact",39125,39125],[2,15,"p","(4,4,3,1,1,1,1)",90090,35208,"exact",35208,35208],[2,15,"p","(4,4,3,2,1,1)",175175,67788,"exact",67788,67788],[2,15,"p","(4,4,3,2,2)",96525,37170,"exact",37170,37170],[2,15,"p","(4,4,3,3,1)",81081,31032,"exact",31032,31032],[2,15,"p","(4,4,4,1,1,1)",50050,19147,"exact",19147,19147],[2,15,"p","(4,4,4,2,1)",75075,28500,"exact",28500,28500],[2,15,"p","(4,4,4,3)",24024,9036,"lower bound",9036,9042],[2,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,420,"exact",420,420],[2,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,3164,"exact",3164,3164],[2,15,"p","(5,2,2,1,1,1,1,1,1)",26950,10840,"exact",10840,10840],[2,15,"p","(5,2,2,2,1,1,1,1)",53625,21280,"exact",21280,21280],[2,15,"p","(5,2,2,2,2,1,1)",61425,24160,"exact",24160,24160],[2,15,"p","(5,2,2,2,2,2)",28028,10976,"exact",10976,10976],[2,15,"p","(5,3,1,1,1,1,1,1,1)",24948,9954,"exact",9954,9954],[2,15,"p","(5,3,2,1,1,1,1,1)",100100,39275,"exact",39275,39275],[2,15,"p","(5,3,2,2,1,1,1)",184275,71460,"exact",71460,71460],[2,15,"p","(5,3,2,2,2,1)",162162,62451,"exact",62451,62451],[2,15,"p","(5,3,3,1,1,1,1)",122850,47308,"exact",47308,47308],[2,15,"p","(5,3,3,2,1,1)",231660,88344,"exact",88344,88344],[2,15,"p","(5,3,3,2,2)",126126,47866,"exact",47866,47866],[2,15,"p","(5,3,3,3,1)",100100,37760,"exact",37760,37760],[2,15,"p","(5,4,1,1,1,1,1,1)",42042,16282,"exact",16282,16282],[2,15,"p","(5,4,2,1,1,1,1)",159250,60760,"exact",60760,60760],[2,15,"p","(5,4,2,2,1,1)",243243,91908,"exact",91908,91908],[2,15,"p","(5,4,2,2,2)",125125,47050,"exact",47050,47050],[2,15,"p","(5,4,3,1,1,1)",210210,78876,"exact",78876,78876],[2,15,"p","(5,4,3,2,1)",292864,109056,"exact",109056,109056],[2,15,"p","(5,4,3,3)",75075,27689,"lower bound",27689,27720],[2,15,"p","(5,4,4,1,1)",100100,36860,"exact",36860,36860],[2,15,"p","(5,4,4,2)",81081,29600,"lower bound",29600,29700],[2,15,"p","(5,5,1,1,1,1,1)",34398,12880,"exact",12880,12880],[2,15,"p","(5,5,2,1,1,1)",112112,41440,"exact",41440,41440],[2,15,"p","(5,5,2,2,1)",125125,45900,"exact",45900,45900],[2,15,"p","(5,5,3,1,1)",126126,45948,"exact",45948,45948],[2,15,"p","(5,5,3,2)",96525,34834,"lower bound",34834,34980],[2,15,"p","(5,5,4,1)",54054,19094,"lower bound",19094,19371],[2,15,"p","(5,5,5)",6006,2003,"lower bound",2003,2112],[2,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,791,"exact",791,791],[2,15,"p","(6,2,1,1,1,1,1,1,1)",14300,5530,"exact",5530,5530],[2,15,"p","(6,2,2,1,1,1,1,1)",44550,16950,"exact",16950,16950],[2,15,"p","(6,2,2,2,1,1,1)",75075,28240,"exact",28240,28240],[2,15,"p","(6,2,2,2,2,1)",63700,23800,"exact",23800,23800],[2,15,"p","(6,3,1,1,1,1,1,1)",43120,16282,"exact",16282,16282],[2,15,"p","(6,3,2,1,1,1,1)",150150,55877,"exact",55877,55877],[2,15,"p","(6,3,2,2,1,1)",221130,81513,"exact",81513,81513],[2,15,"p","(6,3,2,2,2)",112112,41132,"exact",41132,41132],[2,15,"p","(6,3,3,1,1,1)",156000,57120,"exact",57120,57120],[2,15,"p","(6,3,3,2,1)",210210,76398,"exact",76398,76398],[2,15,"p","(6,3,3,3)",50050,18013,"lower bound",18013,18040],[2,15,"p","(6,4,1,1,1,1,1)",70070,25760,"exact",25760,25760],[2,15,"p","(6,4,2,1,1,1)",221130,80271,"exact",80271,80271],[2,15,"p","(6,4,2,2,1)",243243,87642,"exact",87642,87642],[2,15,"p","(6,4,3,1,1)",231660,82908,"exact",82908,82908],[2,15,"p","(6,4,3,2)",175175,62060,"lower bound",62060,62370],[2,15,"p","(6,4,4,1)",80080,27743,"lower bound",27743,28204],[2,15,"p","(6,5,1,1,1,1)",63700,22722,"exact",22722,22722],[2,15,"p","(6,5,2,1,1)",162162,57231,"exact",57231,57231],[2,15,"p","(6,5,2,2)",100100,34875,"lower bound",34875,35145],[2,15,"p","(6,5,3,1)",128700,44025,"lower bound",44025,44880],[2,15,"p","(6,5,4)",30030,9699,"lower bound",9699,10329],[2,15,"p","(6,6,1,1,1)",28028,9660,"exact",9660,9660],[2,15,"p","(6,6,2,1)",50050,16639,"lower bound",16639,17105],[2,15,"p","(6,6,3)",21450,6734,"lower bound",6734,7260],[2,15,"p","(7,1,1,1,1,1,1,1,1)",3003,1106,"exact",1106,1106],[2,15,"p","(7,2,1,1,1,1,1,1)",19305,6978,"exact",6978,6978],[2,15,"p","(7,2,2,1,1,1,1)",51975,18528,"exact",18528,18528],[2,15,"p","(7,2,2,2,1,1)",70070,24752,"exact",24752,24752],[2,15,"p","(7,2,2,2,2)",34398,12096,"exact",12096,12096],[2,15,"p","(7,3,1,1,1,1,1)",51975,18400,"exact",18400,18400],[2,15,"p","(7,3,2,1,1,1)",150150,52515,"exact",52515,52515],[2,15,"p","(7,3,2,2,1)",159250,55300,"exact",55300,55300],[2,15,"p","(7,3,3,1,1)",122850,42390,"exact",42390,42390],[2,15,"p","(7,3,3,2)",90090,30696,"lower bound",30696,30932],[2,15,"p","(7,4,1,1,1,1)",75075,25968,"exact",25968,25968],[2,15,"p","(7,4,2,1,1)",184275,63090,"exact",63090,63090],[2,15,"p","(7,4,2,2)",112112,37788,"lower bound",37788,38192],[2,15,"p","(7,4,3,1)",135135,44607,"lower bound",44607,45738],[2,15,"p","(7,4,4)",25025,7732,"lower bound",7732,8360],[2,15,"p","(7,5,1,1,1)",61425,20700,"exact",20700,20700],[2,15,"p","(7,5,2,1)",108108,34970,"lower bound",34970,36135],[2,15,"p","(7,5,3)",45045,13662,"lower bound",13662,14916],[2,15,"p","(7,6,1,1)",27027,8387,"lower bound",8387,8844],[2,15,"p","(7,6,2)",25025,7276,"lower bound",7276,8140],[2,15,"p","(7,7,1)",5005,1360,"lower bound",1360,1584],[2,15,"p","(8,1,1,1,1,1,1,1)",3432,1163,"exact",1163,1163],[2,15,"p","(8,2,1,1,1,1,1)",19305,6440,"exact",6440,6440],[2,15,"p","(8,2,2,1,1,1)",43120,14224,"exact",14224,14224],[2,15,"p","(8,2,2,2,1)",42042,13776,"exact",13776,13776],[2,15,"p","(8,3,1,1,1,1)",44550,14607,"exact",14607,14607],[2,15,"p","(8,3,2,1,1)",100100,32510,"exact",32510,32510],[2,15,"p","(8,3,2,2)",58968,18760,"lower bound",18760,19062],[2,15,"p","(8,3,3,1)",57330,17743,"lower bound",17743,18424],[2,15,"p","(8,4,1,1,1)",53625,17250,"exact",17250,17250],[2,15,"p","(8,4,2,1)",91000,27730,"lower bound",27730,29050],[2,15,"p","(8,4,3)",35035,9828,"lower bound",9828,11088],[2,15,"p","(8,5,1,1)",35100,10325,"lower bound",10325,11055],[2,15,"p","(8,5,2)",32032,8700,"lower bound",8700,10032],[2,15,"p","(8,6,1)",11583,3009,"lower bound",3009,3564],[2,15,"p","(8,7)",1430,424,"lower bound",424,429],[2,15,"p","(9,1,1,1,1,1,1)",3003,920,"exact",920,920],[2,15,"p","(9,2,1,1,1,1)",14300,4328,"exact",4328,4328],[2,15,"p","(9,2,2,1,1)",24948,7488,"exact",7488,7488],[2,15,"p","(9,2,2,2)",13650,4049,"lower bound",4049,4080],[2,15,"p","(9,3,1,1,1)",26950,8050,"exact",8050,8050],[2,15,"p","(9,3,2,1)",42042,11812,"lower bound",11812,12474],[2,15,"p","(9,3,3)",12740,3195,"lower bound",3195,3752],[2,15,"p","(9,4,1,1)",25025,6753,"lower bound",6753,7370],[2,15,"p","(9,4,2)",22113,5379,"lower bound",5379,6480],[2,15,"p","(9,5,1)",11375,2678,"lower bound",2678,3300],[2,15,"p","(9,6)",2002,527,"lower bound",527,572],[2,15,"p","(10,1,1,1,1,1)",2002,541,"exact",541,541],[2,15,"p","(10,2,1,1,1)",7722,2070,"exact",2070,2070],[2,15,"p","(10,2,2,1)",9450,2462,"lower bound",2462,2520],[2,15,"p","(10,3,1,1)",11088,2740,"lower bound",2740,2948],[2,15,"p","(10,3,2)",9100,2026,"lower bound",2026,2410],[2,15,"p","(10,4,1)",7007,1473,"lower bound",1473,1848],[2,15,"p","(10,5)",1638,423,"lower bound",423,429],[2,15,"p","(11,1,1,1,1)",1001,230,"exact",230,230],[2,15,"p","(11,2,1,1)",2925,619,"lower bound",619,670],[2,15,"p","(11,2,2)",1925,438,"lower bound",438,440],[2,15,"p","(11,3,1)",2835,533,"lower bound",533,648],[2,15,"p","(11,4)",910,206,"lower bound",206,208],[2,15,"p","(14,1)",14,0,"exact",0,0],[2,15,"p","(15)",1,0,"exact",0,0],[2,15,"p","(12,1,1,1)",364,65,"lower bound",65,67],[2,15,"p","(12,2,1)",715,129,"lower bound",129,132],[2,15,"p","(12,3)",350,64,"exact",64,64],[2,15,"p","(13,1,1)",91,11,"exact",11,11],[2,15,"p","(13,2)",90,11,"exact",11,11],[2,4,"s","(4)",1,0,"exact",0,0],[2,4,"s","(3,1)",3,0,"exact",0,0],[2,4,"s","(2,2)",2,0,"exact",0,0],[2,4,"s","(2,1,1)",3,0,"exact",0,0],[2,4,"s","(1,1,1,1)",1,1,"exact",1,1],[2,5,"s","(5)",1,0,"exact",0,0],[2,5,"s","(4,1)",4,0,"exact",0,0],[2,5,"s","(3,2)",5,0,"lower bound",0,1],[2,5,"s","(3,1,1)",6,0,"lower bound",0,1],[2,5,"s","(2,2,1)",5,0,"lower bound",0,1],[2,5,"s","(2,1,1,1)",4,1,"lower bound",1,3],[2,5,"s","(1,1,1,1,1)",1,1,"exact",1,1],[2,6,"s","(6)",1,0,"exact",0,0],[2,6,"s","(5,1)",5,0,"exact",0,0],[2,6,"s","(4,2)",9,2,"lower bound",2,3],[2,6,"s","(4,1,1)",10,3,"exact",3,3],[2,6,"s","(3,3)",5,0,"lower bound",0,2],[2,6,"s","(3,2,1)",16,7,"lower bound",7,8],[2,6,"s","(3,1,1,1)",10,8,"exact",8,8],[2,6,"s","(2,2,2)",5,2,"exact",2,2],[2,6,"s","(2,2,1,1)",9,7,"exact",7,7],[2,6,"s","(2,1,1,1,1)",5,5,"exact",5,5],[2,6,"s","(1,1,1,1,1,1)",1,1,"exact",1,1],[2,7,"s","(7)",1,0,"exact",0,0],[2,7,"s","(6,1)",6,0,"exact",0,0],[2,7,"s","(5,2)",14,5,"lower bound",5,6],[2,7,"s","(5,1,1)",15,6,"exact",6,6],[2,7,"s","(4,3)",14,6,"lower bound",6,8],[2,7,"s","(4,2,1)",35,22,"lower bound",22,23],[2,7,"s","(4,1,1,1)",20,17,"exact",17,17],[2,7,"s","(3,3,1)",21,13,"lower bound",13,15],[2,7,"s","(3,2,2)",21,14,"lower bound",14,15],[2,7,"s","(3,2,1,1)",35,31,"exact",31,31],[2,7,"s","(3,1,1,1,1)",15,15,"exact",15,15],[2,7,"s","(2,2,2,1)",14,12,"exact",12,12],[2,7,"s","(2,2,1,1,1)",14,14,"exact",14,14],[2,7,"s","(2,1,1,1,1,1)",6,6,"exact",6,6],[2,7,"s","(1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,8,"s","(8)",1,0,"exact",0,0],[2,8,"s","(7,1)",7,0,"exact",0,0],[2,8,"s","(6,2)",20,5,"lower bound",5,10],[2,8,"s","(6,1,1)",21,6,"lower bound",6,10],[2,8,"s","(5,3)",28,11,"lower bound",11,19],[2,8,"s","(5,2,1)",64,33,"lower bound",33,48],[2,8,"s","(5,1,1,1)",35,23,"lower bound",23,31],[2,8,"s","(4,4)",14,6,"lower bound",6,10],[2,8,"s","(4,3,1)",70,41,"lower bound",41,58],[2,8,"s","(4,2,2)",56,36,"lower bound",36,47],[2,8,"s","(4,2,1,1)",90,70,"lower bound",70,84],[2,8,"s","(4,1,1,1,1)",35,32,"lower bound",32,35],[2,8,"s","(3,3,2)",42,27,"lower bound",27,36],[2,8,"s","(3,3,1,1)",56,44,"lower bound",44,53],[2,8,"s","(3,2,2,1)",70,57,"lower bound",57,66],[2,8,"s","(3,2,1,1,1)",64,60,"lower bound",60,64],[2,8,"s","(3,1,1,1,1,1)",21,21,"exact",21,21],[2,8,"s","(2,2,2,2)",14,12,"lower bound",12,13],[2,8,"s","(2,2,2,1,1)",28,26,"lower bound",26,28],[2,8,"s","(2,2,1,1,1,1)",20,20,"exact",20,20],[2,8,"s","(2,1,1,1,1,1,1)",7,7,"exact",7,7],[2,8,"s","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,9,"s","(9)",1,0,"exact",0,0],[2,9,"s","(8,1)",8,0,"exact",0,0],[2,9,"s","(7,2)",27,5,"lower bound",5,15],[2,9,"s","(7,1,1)",28,6,"lower bound",6,15],[2,9,"s","(6,3)",48,16,"lower bound",16,36],[2,9,"s","(6,2,1)",105,44,"lower bound",44,85],[2,9,"s","(6,1,1,1)",56,29,"lower bound",29,51],[2,9,"s","(5,4)",42,17,"lower bound",17,34],[2,9,"s","(5,3,1)",162,85,"lower bound",85,144],[2,9,"s","(5,2,2)",120,69,"lower bound",69,108],[2,9,"s","(5,2,1,1)",189,126,"lower bound",126,181],[2,9,"s","(5,1,1,1,1)",70,55,"lower bound",55,70],[2,9,"s","(4,4,1)",84,47,"lower bound",47,76],[2,9,"s","(4,3,2)",168,104,"lower bound",104,156],[2,9,"s","(4,3,1,1)",216,155,"lower bound",155,210],[2,9,"s","(4,2,2,1)",216,163,"lower bound",163,210],[2,9,"s","(4,2,1,1,1)",189,162,"lower bound",162,189],[2,9,"s","(4,1,1,1,1,1)",56,53,"lower bound",53,56],[2,9,"s","(3,3,3)",42,27,"lower bound",27,38],[2,9,"s","(3,3,2,1)",168,128,"lower bound",128,164],[2,9,"s","(3,3,1,1,1)",120,104,"lower bound",104,120],[2,9,"s","(3,2,2,2)",84,69,"lower bound",69,82],[2,9,"s","(3,2,2,1,1)",162,143,"lower bound",143,162],[2,9,"s","(3,2,1,1,1,1)",105,101,"lower bound",101,105],[2,9,"s","(3,1,1,1,1,1,1)",28,28,"exact",28,28],[2,9,"s","(2,2,2,2,1)",42,38,"lower bound",38,42],[2,9,"s","(2,2,2,1,1,1)",48,46,"lower bound",46,48],[2,9,"s","(2,2,1,1,1,1,1)",27,27,"exact",27,27],[2,9,"s","(2,1,1,1,1,1,1,1)",8,8,"exact",8,8],[2,9,"s","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,10,"s","(10)",1,0,"exact",0,0],[2,10,"s","(9,1)",9,0,"exact",0,0],[2,10,"s","(8,2)",35,5,"lower bound",5,21],[2,10,"s","(8,1,1)",36,6,"lower bound",6,21],[2,10,"s","(7,3)",75,21,"lower bound",21,60],[2,10,"s","(7,2,1)",160,55,"lower bound",55,136],[2,10,"s","(7,1,1,1)",84,35,"lower bound",35,78],[2,10,"s","(6,4)",90,33,"lower bound",33,78],[2,10,"s","(6,3,1)",315,145,"lower bound",145,291],[2,10,"s","(6,2,2)",225,113,"lower bound",113,210],[2,10,"s","(6,2,1,1)",350,199,"lower bound",199,340],[2,10,"s","(6,1,1,1,1)",126,84,"lower bound",84,126],[2,10,"s","(5,5)",42,17,"lower bound",17,37],[2,10,"s","(5,4,1)",288,149,"lower bound",149,272],[2,10,"s","(5,3,2)",450,258,"lower bound",258,432],[2,10,"s","(5,3,1,1)",567,366,"lower bound",366,558],[2,10,"s","(5,2,2,1)",525,358,"lower bound",358,517],[2,10,"s","(5,2,1,1,1)",448,343,"lower bound",343,448],[2,10,"s","(5,1,1,1,1,1)",126,108,"lower bound",108,126],[2,10,"s","(4,4,2)",252,151,"lower bound",151,243],[2,10,"s","(4,4,1,1)",300,202,"lower bound",202,296],[2,10,"s","(4,3,3)",210,131,"lower bound",131,202],[2,10,"s","(4,3,2,1)",768,550,"lower bound",550,760],[2,10,"s","(4,3,1,1,1)",525,421,"lower bound",421,525],[2,10,"s","(4,2,2,2)",300,232,"lower bound",232,297],[2,10,"s","(4,2,2,1,1)",567,468,"lower bound",468,567],[2,10,"s","(4,2,1,1,1,1)",350,316,"lower bound",316,350],[2,10,"s","(4,1,1,1,1,1,1)",84,81,"lower bound",81,84],[2,10,"s","(3,3,3,1)",210,155,"lower bound",155,207],[2,10,"s","(3,3,2,2)",252,197,"lower bound",197,250],[2,10,"s","(3,3,2,1,1)",450,375,"lower bound",375,450],[2,10,"s","(3,3,1,1,1,1)",225,205,"lower bound",205,225],[2,10,"s","(3,2,2,2,1)",288,250,"lower bound",250,288],[2,10,"s","(3,2,2,1,1,1)",315,290,"lower bound",290,315],[2,10,"s","(3,2,1,1,1,1,1)",160,156,"lower bound",156,160],[2,10,"s","(3,1,1,1,1,1,1,1)",36,36,"exact",36,36],[2,10,"s","(2,2,2,2,2)",42,38,"lower bound",38,42],[2,10,"s","(2,2,2,2,1,1)",90,84,"lower bound",84,90],[2,10,"s","(2,2,2,1,1,1,1)",75,73,"lower bound",73,75],[2,10,"s","(2,2,1,1,1,1,1,1)",35,35,"exact",35,35],[2,10,"s","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[2,10,"s","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,11,"s","(11)",1,0,"exact",0,0],[2,11,"s","(10,1)",10,0,"exact",0,0],[2,11,"s","(9,2)",44,5,"lower bound",5,28],[2,11,"s","(9,1,1)",45,6,"lower bound",6,28],[2,11,"s","(8,3)",110,26,"lower bound",26,92],[2,11,"s","(8,2,1)",231,66,"lower bound",66,203],[2,11,"s","(8,1,1,1)",120,41,"lower bound",41,113],[2,11,"s","(7,4)",165,54,"lower bound",54,149],[2,11,"s","(7,3,1)",550,221,"lower bound",221,520],[2,11,"s","(7,2,2)",385,168,"lower bound",168,367],[2,11,"s","(7,2,1,1)",594,289,"lower bound",289,582],[2,11,"s","(7,1,1,1,1)",210,119,"lower bound",119,210],[2,11,"s","(6,5)",132,50,"lower bound",50,122],[2,11,"s","(6,4,1)",693,327,"lower bound",327,669],[2,11,"s","(6,3,2)",990,516,"lower bound",516,966],[2,11,"s","(6,3,1,1)",1232,710,"lower bound",710,1220],[2,11,"s","(6,2,2,1)",1100,670,"lower bound",670,1090],[2,11,"s","(6,2,1,1,1)",924,626,"lower bound",626,924],[2,11,"s","(6,1,1,1,1,1)",252,192,"lower bound",192,252],[2,11,"s","(5,5,1)",330,166,"lower bound",166,320],[2,11,"s","(5,4,2)",990,558,"lower bound",558,972],[2,11,"s","(5,4,1,1)",1155,717,"lower bound",717,1147],[2,11,"s","(5,3,3)",660,389,"lower bound",389,648],[2,11,"s","(5,3,2,1)",2310,1532,"lower bound",1532,2298],[2,11,"s","(5,3,1,1,1)",1540,1130,"lower bound",1130,1540],[2,11,"s","(5,2,2,2)",825,590,"lower bound",590,821],[2,11,"s","(5,2,2,1,1)",1540,1169,"lower bound",1169,1540],[2,11,"s","(5,2,1,1,1,1)",924,767,"lower bound",767,924],[2,11,"s","(5,1,1,1,1,1,1)",210,189,"lower bound",189,210],[2,11,"s","(4,4,3)",462,282,"lower bound",282,454],[2,11,"s","(4,4,2,1)",1320,903,"lower bound",903,1314],[2,11,"s","(4,4,1,1,1)",825,623,"lower bound",623,825],[2,11,"s","(4,3,3,1)",1188,836,"lower bound",836,1182],[2,11,"s","(4,3,2,2)",1320,979,"lower bound",979,1316],[2,11,"s","(4,3,2,1,1)",2310,1814,"lower bound",1814,2310],[2,11,"s","(4,3,1,1,1,1)",1100,942,"lower bound",942,1100],[2,11,"s","(4,2,2,2,1)",1155,950,"lower bound",950,1155],[2,11,"s","(4,2,2,1,1,1)",1232,1074,"lower bound",1074,1232],[2,11,"s","(4,2,1,1,1,1,1)",594,553,"lower bound",553,594],[2,11,"s","(4,1,1,1,1,1,1,1)",120,117,"lower bound",117,120],[2,11,"s","(3,3,3,2)",462,352,"lower bound",352,460],[2,11,"s","(3,3,3,1,1)",660,530,"lower bound",530,660],[2,11,"s","(3,3,2,2,1)",990,822,"lower bound",822,990],[2,11,"s","(3,3,2,1,1,1)",990,870,"lower bound",870,990],[2,11,"s","(3,3,1,1,1,1,1)",385,361,"lower bound",361,385],[2,11,"s","(3,2,2,2,2)",330,288,"lower bound",288,330],[2,11,"s","(3,2,2,2,1,1)",693,624,"lower bound",624,693],[2,11,"s","(3,2,2,1,1,1,1)",550,519,"lower bound",519,550],[2,11,"s","(3,2,1,1,1,1,1,1)",231,227,"lower bound",227,231],[2,11,"s","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[2,11,"s","(2,2,2,2,2,1)",132,122,"lower bound",122,132],[2,11,"s","(2,2,2,2,1,1,1)",165,157,"lower bound",157,165],[2,11,"s","(2,2,2,1,1,1,1,1)",110,108,"lower bound",108,110],[2,11,"s","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[2,11,"s","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[2,11,"s","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,12,"s","(12)",1,0,"lower bound",0,1],[2,12,"s","(11,1)",11,0,"lower bound",0,11],[2,12,"s","(10,2)",54,5,"lower bound",5,54],[2,12,"s","(10,1,1)",55,6,"lower bound",6,55],[2,12,"s","(9,3)",154,31,"lower bound",31,154],[2,12,"s","(9,2,1)",320,77,"lower bound",77,320],[2,12,"s","(9,1,1,1)",165,47,"lower bound",47,165],[2,12,"s","(8,4)",275,80,"lower bound",80,275],[2,12,"s","(8,3,1)",891,313,"lower bound",313,891],[2,12,"s","(8,2,2)",616,234,"lower bound",234,616],[2,12,"s","(8,2,1,1)",945,396,"lower bound",396,945],[2,12,"s","(8,1,1,1,1)",330,160,"lower bound",160,330],[2,12,"s","(7,5)",297,104,"lower bound",104,297],[2,12,"s","(7,4,1)",1408,602,"lower bound",602,1408],[2,12,"s","(7,3,2)",1925,905,"lower bound",905,1925],[2,12,"s","(7,3,1,1)",2376,1220,"lower bound",1220,2376],[2,12,"s","(7,2,2,1)",2079,1127,"lower bound",1127,2079],[2,12,"s","(7,2,1,1,1)",1728,1034,"lower bound",1034,1728],[2,12,"s","(7,1,1,1,1,1)",462,311,"lower bound",311,462],[2,12,"s","(6,6)",132,50,"lower bound",50,132],[2,12,"s","(6,5,1)",1155,543,"lower bound",543,1155],[2,12,"s","(6,4,2)",2673,1401,"lower bound",1401,2673],[2,12,"s","(6,4,1,1)",3080,1754,"lower bound",1754,3080],[2,12,"s","(6,3,3)",1650,905,"lower bound",905,1650],[2,12,"s","(6,3,2,1)",5632,3428,"lower bound",3428,5632],[2,12,"s","(6,3,1,1,1)",3696,2466,"lower bound",2466,3696],[2,12,"s","(6,2,2,2)",1925,1260,"lower bound",1260,1925],[2,12,"s","(6,2,2,1,1)",3564,2465,"lower bound",2465,3564],[2,12,"s","(6,2,1,1,1,1)",2100,1585,"lower bound",1585,2100],[2,12,"s","(6,1,1,1,1,1,1)",462,381,"lower bound",381,462],[2,12,"s","(5,5,2)",1320,724,"lower bound",724,1320],[2,12,"s","(5,5,1,1)",1485,883,"lower bound",883,1485],[2,12,"s","(5,4,3)",2112,1229,"lower bound",1229,2112],[2,12,"s","(5,4,2,1)",5775,3710,"lower bound",3710,5775],[2,12,"s","(5,4,1,1,1)",3520,2470,"lower bound",2470,3520],[2,12,"s","(5,3,3,1)",4158,2757,"lower bound",2757,4158],[2,12,"s","(5,3,2,2)",4455,3101,"lower bound",3101,4455],[2,12,"s","(5,3,2,1,1)",7700,5645,"lower bound",5645,7700],[2,12,"s","(5,3,1,1,1,1)",3564,2839,"lower bound",2839,3564],[2,12,"s","(5,2,2,2,1)",3520,2709,"lower bound",2709,3520],[2,12,"s","(5,2,2,1,1,1)",3696,3010,"lower bound",3010,3696],[2,12,"s","(5,2,1,1,1,1,1)",1728,1509,"lower bound",1509,1728],[2,12,"s","(5,1,1,1,1,1,1,1)",330,306,"lower bound",306,330],[2,12,"s","(4,4,4)",462,282,"lower bound",282,462],[2,12,"s","(4,4,3,1)",2970,2021,"lower bound",2021,2970],[2,12,"s","(4,4,2,2)",2640,1882,"lower bound",1882,2640],[2,12,"s","(4,4,2,1,1)",4455,3340,"lower bound",3340,4455],[2,12,"s","(4,4,1,1,1,1)",1925,1565,"lower bound",1565,1925],[2,12,"s","(4,3,3,2)",2970,2167,"lower bound",2167,2970],[2,12,"s","(4,3,3,1,1)",4158,3180,"lower bound",3180,4158],[2,12,"s","(4,3,2,2,1)",5775,4565,"lower bound",4565,5775],[2,12,"s","(4,3,2,1,1,1)",5632,4700,"lower bound",4700,5632],[2,12,"s","(4,3,1,1,1,1,1)",2079,1856,"lower bound",1856,2079],[2,12,"s","(4,2,2,2,2)",1485,1238,"lower bound",1238,1485],[2,12,"s","(4,2,2,2,1,1)",3080,2648,"lower bound",2648,3080],[2,12,"s","(4,2,2,1,1,1,1)",2376,2146,"lower bound",2146,2376],[2,12,"s","(4,2,1,1,1,1,1,1)",945,897,"lower bound",897,945],[2,12,"s","(4,1,1,1,1,1,1,1,1)",165,162,"lower bound",162,165],[2,12,"s","(3,3,3,3)",462,352,"lower bound",352,462],[2,12,"s","(3,3,3,2,1)",2112,1704,"lower bound",1704,2112],[2,12,"s","(3,3,3,1,1,1)",1650,1400,"lower bound",1400,1650],[2,12,"s","(3,3,2,2,2)",1320,1110,"lower bound",1110,1320],[2,12,"s","(3,3,2,2,1,1)",2673,2316,"lower bound",2316,2673],[2,12,"s","(3,3,2,1,1,1,1)",1925,1750,"lower bound",1750,1925],[2,12,"s","(3,3,1,1,1,1,1,1)",616,588,"lower bound",588,616],[2,12,"s","(3,2,2,2,2,1)",1155,1034,"lower bound",1034,1155],[2,12,"s","(3,2,2,2,1,1,1)",1408,1300,"lower bound",1300,1408],[2,12,"s","(3,2,2,1,1,1,1,1)",891,854,"lower bound",854,891],[2,12,"s","(3,2,1,1,1,1,1,1,1)",320,316,"lower bound",316,320],[2,12,"s","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[2,12,"s","(2,2,2,2,2,2)",132,122,"lower bound",122,132],[2,12,"s","(2,2,2,2,2,1,1)",297,279,"lower bound",279,297],[2,12,"s","(2,2,2,2,1,1,1,1)",275,265,"lower bound",265,275],[2,12,"s","(2,2,2,1,1,1,1,1,1)",154,152,"lower bound",152,154],[2,12,"s","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[2,12,"s","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[2,12,"s","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,13,"s","(13)",1,0,"lower bound",0,1],[2,13,"s","(12,1)",12,0,"lower bound",0,12],[2,13,"s","(11,2)",65,5,"lower bound",5,65],[2,13,"s","(11,1,1)",66,6,"lower bound",6,66],[2,13,"s","(10,3)",208,36,"lower bound",36,208],[2,13,"s","(10,2,1)",429,88,"lower bound",88,429],[2,13,"s","(10,1,1,1)",220,53,"lower bound",53,220],[2,13,"s","(9,4)",429,111,"lower bound",111,429],[2,13,"s","(9,3,1)",1365,421,"lower bound",421,1365],[2,13,"s","(9,2,2)",936,311,"lower bound",311,936],[2,13,"s","(9,2,1,1)",1430,520,"lower bound",520,1430],[2,13,"s","(9,1,1,1,1)",495,207,"lower bound",207,495],[2,13,"s","(8,5)",572,184,"lower bound",184,572],[2,13,"s","(8,4,1)",2574,995,"lower bound",995,2574],[2,13,"s","(8,3,2)",3432,1452,"lower bound",1452,3432],[2,13,"s","(8,3,1,1)",4212,1929,"lower bound",1929,4212],[2,13,"s","(8,2,2,1)",3640,1757,"lower bound",1757,3640],[2,13,"s","(8,2,1,1,1)",3003,1590,"lower bound",1590,3003],[2,13,"s","(8,1,1,1,1,1)",792,471,"lower bound",471,792],[2,13,"s","(7,6)",429,154,"lower bound",154,429],[2,13,"s","(7,5,1)",2860,1249,"lower bound",1249,2860],[2,13,"s","(7,4,2)",6006,2908,"lower bound",2908,6006],[2,13,"s","(7,4,1,1)",6864,3576,"lower bound",3576,6864],[2,13,"s","(7,3,3)",3575,1810,"lower bound",1810,3575],[2,13,"s","(7,3,2,1)",12012,6680,"lower bound",6680,12012],[2,13,"s","(7,3,1,1,1)",7800,4720,"lower bound",4720,7800],[2,13,"s","(7,2,2,2)",4004,2387,"lower bound",2387,4004],[2,13,"s","(7,2,2,1,1)",7371,4626,"lower bound",4626,7371],[2,13,"s","(7,2,1,1,1,1)",4290,2930,"lower bound",2930,4290],[2,13,"s","(7,1,1,1,1,1,1)",924,692,"lower bound",692,924],[2,13,"s","(6,6,1)",1287,593,"lower bound",593,1287],[2,13,"s","(6,5,2)",5148,2668,"lower bound",2668,5148],[2,13,"s","(6,5,1,1)",5720,3180,"lower bound",3180,5720],[2,13,"s","(6,4,3)",6435,3535,"lower bound",3535,6435],[2,13,"s","(6,4,2,1)",17160,10293,"lower bound",10293,17160],[2,13,"s","(6,4,1,1,1)",10296,6690,"lower bound",6690,10296],[2,13,"s","(6,3,3,1)",11440,7090,"lower bound",7090,11440],[2,13,"s","(6,3,2,2)",12012,7789,"lower bound",7789,12012],[2,13,"s","(6,3,2,1,1)",20592,14004,"lower bound",14004,20592],[2,13,"s","(6,3,1,1,1,1)",9360,6890,"lower bound",6890,9360],[2,13,"s","(6,2,2,2,1)",9009,6434,"lower bound",6434,9009],[2,13,"s","(6,2,2,1,1,1)",9360,7060,"lower bound",7060,9360],[2,13,"s","(6,2,1,1,1,1,1)",4290,3475,"lower bound",3475,4290],[2,13,"s","(6,1,1,1,1,1,1,1)",792,687,"lower bound",687,792],[2,13,"s","(5,5,3)",3432,1953,"lower bound",1953,3432],[2,13,"s","(5,5,2,1)",8580,5317,"lower bound",5317,8580],[2,13,"s","(5,5,1,1,1)",5005,3353,"lower bound",3353,5005],[2,13,"s","(5,4,4)",2574,1511,"lower bound",1511,2574],[2,13,"s","(5,4,3,1)",15015,9717,"lower bound",9717,15015],[2,13,"s","(5,4,2,2)",12870,8693,"lower bound",8693,12870],[2,13,"s","(5,4,2,1,1)",21450,15165,"lower bound",15165,21450],[2,13,"s","(5,4,1,1,1,1)",9009,6874,"lower bound",6874,9009],[2,13,"s","(5,3,3,2)",11583,8025,"lower bound",8025,11583],[2,13,"s","(5,3,3,1,1)",16016,11582,"lower bound",11582,16016],[2,13,"s","(5,3,2,2,1)",21450,16020,"lower bound",16020,21450],[2,13,"s","(5,3,2,1,1,1)",20592,16194,"lower bound",16194,20592],[2,13,"s","(5,3,1,1,1,1,1)",7371,6204,"lower bound",6204,7371],[2,13,"s","(5,2,2,2,2)",5005,3947,"lower bound",3947,5005],[2,13,"s","(5,2,2,2,1,1)",10296,8367,"lower bound",8367,10296],[2,13,"s","(5,2,2,1,1,1,1)",7800,6665,"lower bound",6665,7800],[2,13,"s","(5,2,1,1,1,1,1,1)",3003,2712,"lower bound",2712,3003],[2,13,"s","(5,1,1,1,1,1,1,1,1)",495,468,"lower bound",468,495],[2,13,"s","(4,4,4,1)",3432,2303,"lower bound",2303,3432],[2,13,"s","(4,4,3,2)",8580,6070,"lower bound",6070,8580],[2,13,"s","(4,4,3,1,1)",11583,8541,"lower bound",8541,11583],[2,13,"s","(4,4,2,2,1)",12870,9787,"lower bound",9787,12870],[2,13,"s","(4,4,2,1,1,1)",12012,9605,"lower bound",9605,12012],[2,13,"s","(4,4,1,1,1,1,1)",4004,3421,"lower bound",3421,4004],[2,13,"s","(4,3,3,3)",3432,2519,"lower bound",2519,3432],[2,13,"s","(4,3,3,2,1)",15015,11616,"lower bound",11616,15015],[2,13,"s","(4,3,3,1,1,1)",11440,9280,"lower bound",9280,11440],[2,13,"s","(4,3,2,2,2)",8580,6913,"lower bound",6913,8580],[2,13,"s","(4,3,2,2,1,1)",17160,14229,"lower bound",14229,17160],[2,13,"s","(4,3,2,1,1,1,1)",12012,10452,"lower bound",10452,12012],[2,13,"s","(4,3,1,1,1,1,1,1)",3640,3341,"lower bound",3341,3640],[2,13,"s","(4,2,2,2,2,1)",5720,4920,"lower bound",4920,5720],[2,13,"s","(4,2,2,2,1,1,1)",6864,6094,"lower bound",6094,6864],[2,13,"s","(4,2,2,1,1,1,1,1)",4212,3897,"lower bound",3897,4212],[2,13,"s","(4,2,1,1,1,1,1,1,1)",1430,1375,"lower bound",1375,1430],[2,13,"s","(4,1,1,1,1,1,1,1,1,1)",220,217,"lower bound",217,220],[2,13,"s","(3,3,3,3,1)",2574,2056,"lower bound",2056,2574],[2,13,"s","(3,3,3,2,2)",3432,2814,"lower bound",2814,3432],[2,13,"s","(3,3,3,2,1,1)",6435,5420,"lower bound",5420,6435],[2,13,"s","(3,3,3,1,1,1,1)",3575,3150,"lower bound",3150,3575],[2,13,"s","(3,3,2,2,2,1)",5148,4460,"lower bound",4460,5148],[2,13,"s","(3,3,2,2,1,1,1)",6006,5366,"lower bound",5366,6006],[2,13,"s","(3,3,2,1,1,1,1,1)",3432,3192,"lower bound",3192,3432],[2,13,"s","(3,3,1,1,1,1,1,1,1)",936,904,"lower bound",904,936],[2,13,"s","(3,2,2,2,2,2)",1287,1156,"lower bound",1156,1287],[2,13,"s","(3,2,2,2,2,1,1)",2860,2613,"lower bound",2613,2860],[2,13,"s","(3,2,2,2,1,1,1,1)",2574,2419,"lower bound",2419,2574],[2,13,"s","(3,2,2,1,1,1,1,1,1)",1365,1322,"lower bound",1322,1365],[2,13,"s","(3,2,1,1,1,1,1,1,1,1)",429,425,"lower bound",425,429],[2,13,"s","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[2,13,"s","(2,2,2,2,2,2,1)",429,401,"lower bound",401,429],[2,13,"s","(2,2,2,2,2,1,1,1)",572,544,"lower bound",544,572],[2,13,"s","(2,2,2,2,1,1,1,1,1)",429,417,"lower bound",417,429],[2,13,"s","(2,2,2,1,1,1,1,1,1,1)",208,206,"lower bound",206,208],[2,13,"s","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[2,13,"s","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[2,13,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,14,"s","(14)",1,0,"lower bound",0,1],[2,14,"s","(13,1)",13,0,"lower bound",0,13],[2,14,"s","(12,2)",77,5,"lower bound",5,77],[2,14,"s","(12,1,1)",78,6,"lower bound",6,78],[2,14,"s","(11,3)",273,41,"lower bound",41,273],[2,14,"s","(11,2,1)",560,99,"lower bound",99,560],[2,14,"s","(11,1,1,1)",286,59,"lower bound",59,286],[2,14,"s","(10,4)",637,147,"lower bound",147,637],[2,14,"s","(10,3,1)",2002,545,"lower bound",545,2002],[2,14,"s","(10,2,2)",1365,399,"lower bound",399,1365],[2,14,"s","(10,2,1,1)",2079,661,"lower bound",661,2079],[2,14,"s","(10,1,1,1,1)",715,260,"lower bound",260,715],[2,14,"s","(9,5)",1001,295,"lower bound",295,1001],[2,14,"s","(9,4,1)",4368,1527,"lower bound",1527,4368],[2,14,"s","(9,3,2)",5733,2184,"lower bound",2184,5733],[2,14,"s","(9,3,1,1)",7007,2870,"lower bound",2870,7007],[2,14,"s","(9,2,2,1)",6006,2588,"lower bound",2588,6006],[2,14,"s","(9,2,1,1,1)",4928,2317,"lower bound",2317,4928],[2,14,"s","(9,1,1,1,1,1)",1287,678,"lower bound",678,1287],[2,14,"s","(8,6)",1001,338,"lower bound",338,1001],[2,14,"s","(8,5,1)",6006,2428,"lower bound",2428,6006],[2,14,"s","(8,4,2)",12012,5355,"lower bound",5355,12012],[2,14,"s","(8,4,1,1)",13650,6500,"lower bound",6500,13650],[2,14,"s","(8,3,3)",7007,3262,"lower bound",3262,7007],[2,14,"s","(8,3,2,1)",23296,11818,"lower bound",11818,23296],[2,14,"s","(8,3,1,1,1)",15015,8239,"lower bound",8239,15015],[2,14,"s","(8,2,2,2)",7644,4144,"lower bound",4144,7644],[2,14,"s","(8,2,2,1,1)",14014,7973,"lower bound",7973,14014],[2,14,"s","(8,2,1,1,1,1)",8085,4991,"lower bound",4991,8085],[2,14,"s","(8,1,1,1,1,1,1)",1716,1163,"lower bound",1163,1716],[2,14,"s","(7,7)",429,154,"lower bound",154,429],[2,14,"s","(7,6,1)",4576,1996,"lower bound",1996,4576],[2,14,"s","(7,5,2)",14014,6825,"lower bound",6825,14014],[2,14,"s","(7,5,1,1)",15444,8005,"lower bound",8005,15444],[2,14,"s","(7,4,3)",16016,8253,"lower bound",8253,16016],[2,14,"s","(7,4,2,1)",42042,23457,"lower bound",23457,42042],[2,14,"s","(7,4,1,1,1)",24960,14986,"lower bound",14986,24960],[2,14,"s","(7,3,3,1)",27027,15580,"lower bound",15580,27027],[2,14,"s","(7,3,2,2)",28028,16856,"lower bound",16856,28028],[2,14,"s","(7,3,2,1,1)",47775,30030,"lower bound",30030,47775],[2,14,"s","(7,3,1,1,1,1)",21450,14540,"lower bound",14540,21450],[2,14,"s","(7,2,2,2,1)",20384,13447,"lower bound",13447,20384],[2,14,"s","(7,2,2,1,1,1)",21021,14616,"lower bound",14616,21021],[2,14,"s","(7,2,1,1,1,1,1)",9504,7097,"lower bound",7097,9504],[2,14,"s","(7,1,1,1,1,1,1,1)",1716,1379,"lower bound",1379,1716],[2,14,"s","(6,6,2)",6435,3261,"lower bound",3261,6435],[2,14,"s","(6,6,1,1)",7007,3773,"lower bound",3773,7007],[2,14,"s","(6,5,3)",15015,8156,"lower bound",8156,15015],[2,14,"s","(6,5,2,1)",36608,21458,"lower bound",21458,36608],[2,14,"s","(6,5,1,1,1)",21021,13223,"lower bound",13223,21021],[2,14,"s","(6,4,4)",9009,5046,"lower bound",5046,9009],[2,14,"s","(6,4,3,1)",50050,30635,"lower bound",30635,50050],[2,14,"s","(6,4,2,2)",42042,26775,"lower bound",26775,42042],[2,14,"s","(6,4,2,1,1)",69498,46152,"lower bound",46152,69498],[2,14,"s","(6,4,1,1,1,1)",28665,20454,"lower bound",20454,28665],[2,14,"s","(6,3,3,2)",35035,22904,"lower bound",22904,35035],[2,14,"s","(6,3,3,1,1)",48048,32676,"lower bound",32676,48048],[2,14,"s","(6,3,2,2,1)",63063,44247,"lower bound",44247,63063],[2,14,"s","(6,3,2,1,1,1)",59904,44148,"lower bound",44148,59904],[2,14,"s","(6,3,1,1,1,1,1)",21021,16569,"lower bound",16569,21021],[2,14,"s","(6,2,2,2,2)",14014,10381,"lower bound",10381,14014],[2,14,"s","(6,2,2,2,1,1)",28665,21861,"lower bound",21861,28665],[2,14,"s","(6,2,2,1,1,1,1)",21450,17200,"lower bound",17200,21450],[2,14,"s","(6,2,1,1,1,1,1,1)",8085,6874,"lower bound",6874,8085],[2,14,"s","(6,1,1,1,1,1,1,1,1)",1287,1155,"lower bound",1155,1287],[2,14,"s","(5,5,4)",6006,3464,"lower bound",3464,6006],[2,14,"s","(5,5,3,1)",27027,16987,"lower bound",16987,27027],[2,14,"s","(5,5,2,2)",21450,14010,"lower bound",14010,21450],[2,14,"s","(5,5,2,1,1)",35035,23835,"lower bound",23835,35035],[2,14,"s","(5,5,1,1,1,1)",14014,10227,"lower bound",10227,14014],[2,14,"s","(5,4,4,1)",21021,13531,"lower bound",13531,21021],[2,14,"s","(5,4,3,2)",48048,32505,"lower bound",32505,48048],[2,14,"s","(5,4,3,1,1)",64064,45005,"lower bound",45005,64064],[2,14,"s","(5,4,2,2,1)",68640,49665,"lower bound",49665,68640],[2,14,"s","(5,4,2,1,1,1)",63063,47838,"lower bound",47838,63063],[2,14,"s","(5,4,1,1,1,1,1)",20384,16499,"lower bound",16499,20384],[2,14,"s","(5,3,3,3)",15015,10544,"lower bound",10544,15015],[2,14,"s","(5,3,3,2,1)",64064,47243,"lower bound",47243,64064],[2,14,"s","(5,3,3,1,1,1)",48048,37056,"lower bound",37056,48048],[2,14,"s","(5,3,2,2,2)",35035,26880,"lower bound",26880,35035],[2,14,"s","(5,3,2,2,1,1)",69498,54810,"lower bound",54810,69498],[2,14,"s","(5,3,2,1,1,1,1)",47775,39515,"lower bound",39515,47775],[2,14,"s","(5,3,1,1,1,1,1,1)",14014,12257,"lower bound",12257,14014],[2,14,"s","(5,2,2,2,2,1)",21021,17234,"lower bound",17234,21021],[2,14,"s","(5,2,2,2,1,1,1)",24960,21126,"lower bound",21126,24960],[2,14,"s","(5,2,2,1,1,1,1,1)",15015,13274,"lower bound",13274,15015],[2,14,"s","(5,2,1,1,1,1,1,1,1)",4928,4555,"lower bound",4555,4928],[2,14,"s","(5,1,1,1,1,1,1,1,1,1)",715,685,"lower bound",685,715],[2,14,"s","(4,4,4,2)",12012,8373,"lower bound",8373,12012],[2,14,"s","(4,4,4,1,1)",15015,10844,"lower bound",10844,15015],[2,14,"s","(4,4,3,3)",12012,8589,"lower bound",8589,12012],[2,14,"s","(4,4,3,2,1)",48048,36014,"lower bound",36014,48048],[2,14,"s","(4,4,3,1,1,1)",35035,27426,"lower bound",27426,35035],[2,14,"s","(4,4,2,2,2)",21450,16700,"lower bound",16700,21450],[2,14,"s","(4,4,2,2,1,1)",42042,33621,"lower bound",33621,42042],[2,14,"s","(4,4,2,1,1,1,1)",28028,23478,"lower bound",23478,28028],[2,14,"s","(4,4,1,1,1,1,1,1)",7644,6762,"lower bound",6762,7644],[2,14,"s","(4,3,3,3,1)",21021,16191,"lower bound",16191,21021],[2,14,"s","(4,3,3,2,2)",27027,21343,"lower bound",21343,27027],[2,14,"s","(4,3,3,2,1,1)",50050,40545,"lower bound",40545,50050],[2,14,"s","(4,3,3,1,1,1,1)",27027,22882,"lower bound",22882,27027],[2,14,"s","(4,3,2,2,2,1)",36608,30522,"lower bound",30522,36608],[2,14,"s","(4,3,2,2,1,1,1)",42042,36141,"lower bound",36141,42042],[2,14,"s","(4,3,2,1,1,1,1,1)",23296,20882,"lower bound",20882,23296],[2,14,"s","(4,3,1,1,1,1,1,1,1)",6006,5620,"lower bound",5620,6006],[2,14,"s","(4,2,2,2,2,2)",7007,6076,"lower bound",6076,7007],[2,14,"s","(4,2,2,2,2,1,1)",15444,13627,"lower bound",13627,15444],[2,14,"s","(4,2,2,2,1,1,1,1)",13650,12410,"lower bound",12410,13650],[2,14,"s","(4,2,2,1,1,1,1,1,1)",7007,6594,"lower bound",6594,7007],[2,14,"s","(4,2,1,1,1,1,1,1,1,1)",2079,2017,"lower bound",2017,2079],[2,14,"s","(4,1,1,1,1,1,1,1,1,1,1)",286,283,"lower bound",283,286],[2,14,"s","(3,3,3,3,2)",6006,4870,"lower bound",4870,6006],[2,14,"s","(3,3,3,3,1,1)",9009,7476,"lower bound",7476,9009],[2,14,"s","(3,3,3,2,2,1)",15015,12694,"lower bound",12694,15015],[2,14,"s","(3,3,3,2,1,1,1)",16016,13936,"lower bound",13936,16016],[2,14,"s","(3,3,3,1,1,1,1,1)",7007,6342,"lower bound",6342,7007],[2,14,"s","(3,3,2,2,2,2)",6435,5616,"lower bound",5616,6435],[2,14,"s","(3,3,2,2,2,1,1)",14014,12439,"lower bound",12439,14014],[2,14,"s","(3,3,2,2,1,1,1,1)",12012,10977,"lower bound",10977,12012],[2,14,"s","(3,3,2,1,1,1,1,1,1)",5733,5418,"lower bound",5418,5733],[2,14,"s","(3,3,1,1,1,1,1,1,1,1)",1365,1329,"lower bound",1329,1365],[2,14,"s","(3,2,2,2,2,2,1)",4576,4170,"lower bound",4170,4576],[2,14,"s","(3,2,2,2,2,1,1,1)",6006,5576,"lower bound",5576,6006],[2,14,"s","(3,2,2,2,1,1,1,1,1)",4368,4158,"lower bound",4158,4368],[2,14,"s","(3,2,2,1,1,1,1,1,1,1)",2002,1953,"lower bound",1953,2002],[2,14,"s","(3,2,1,1,1,1,1,1,1,1,1)",560,556,"lower bound",556,560],[2,14,"s","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[2,14,"s","(2,2,2,2,2,2,2)",429,401,"lower bound",401,429],[2,14,"s","(2,2,2,2,2,2,1,1)",1001,945,"lower bound",945,1001],[2,14,"s","(2,2,2,2,2,1,1,1,1)",1001,961,"lower bound",961,1001],[2,14,"s","(2,2,2,2,1,1,1,1,1,1)",637,623,"lower bound",623,637],[2,14,"s","(2,2,2,1,1,1,1,1,1,1,1)",273,271,"lower bound",271,273],[2,14,"s","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[2,14,"s","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[2,14,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,1,"t","(1)",1,0,"exact",0,0],[2,2,"t","(2)",1,0,"exact",0,0],[2,2,"t","(1,1)",1,0,"exact",0,0],[2,3,"t","(3)",1,0,"exact",0,0],[2,3,"t","(2,1)",2,1,"exact",1,1],[2,3,"t","(1,1,1)",1,0,"exact",0,0],[2,4,"t","(1,1,1,1)",1,1,"unchecked",1,1],[2,4,"t","(2,1,1)",3,1,"lower bound",1,2],[2,4,"t","(2,2)",2,1,"exact",1,1],[2,4,"t","(3,1)",3,1,"lower bound",1,2],[2,4,"t","(4)",1,0,"unchecked",0,0],[2,5,"t","(1,1,1,1,1)",1,1,"unchecked",1,1],[2,5,"t","(2,1,1,1)",4,4,"unchecked",4,4],[2,5,"t","(2,2,1)",5,2,"lower bound",2,4],[2,5,"t","(3,1,1)",6,2,"lower bound",2,5],[2,5,"t","(3,2)",5,2,"lower bound",2,4],[2,5,"t","(4,1)",4,1,"lower bound",1,3],[2,5,"t","(5)",1,0,"unchecked",0,0],[2,6,"t","(1,1,1,1,1,1)",1,1,"unchecked",1,1],[2,6,"t","(2,1,1,1,1)",5,5,"unchecked",5,5],[2,6,"t","(2,2,1,1)",9,9,"unchecked",9,9],[2,6,"t","(2,2,2)",5,2,"lower bound",2,4],[2,6,"t","(3,1,1,1)",10,10,"unchecked",10,10],[2,6,"t","(3,2,1)",16,8,"lower bound",8,15],[2,6,"t","(3,3)",5,2,"lower bound",2,4],[2,6,"t","(4,1,1)",10,3,"lower bound",3,9],[2,6,"t","(4,2)",9,3,"lower bound",3,8],[2,6,"t","(5,1)",5,1,"lower bound",1,4],[2,6,"t","(6)",1,0,"unchecked",0,0],[2,7,"t","(1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[2,7,"t","(2,1,1,1,1,1)",6,6,"unchecked",6,6],[2,7,"t","(2,2,1,1,1)",14,14,"unchecked",14,14],[2,7,"t","(2,2,2,1)",14,14,"unchecked",14,14],[2,7,"t","(3,1,1,1,1)",15,15,"unchecked",15,15],[2,7,"t","(3,2,1,1)",35,35,"unchecked",35,35],[2,7,"t","(3,2,2)",21,15,"lower bound",15,20],[2,7,"t","(3,3,1)",21,15,"lower bound",15,20],[2,7,"t","(4,1,1,1)",20,20,"unchecked",20,20],[2,7,"t","(4,2,1)",35,23,"lower bound",23,34],[2,7,"t","(4,3)",14,8,"lower bound",8,13],[2,7,"t","(5,1,1)",15,6,"lower bound",6,14],[2,7,"t","(5,2)",14,6,"lower bound",6,13],[2,7,"t","(6,1)",6,1,"lower bound",1,5],[2,7,"t","(7)",1,0,"unchecked",0,0],[2,8,"t","(1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[2,8,"t","(2,1,1,1,1,1,1)",7,7,"unchecked",7,7],[2,8,"t","(2,2,1,1,1,1)",20,20,"unchecked",20,20],[2,8,"t","(2,2,2,1,1)",28,28,"unchecked",28,28],[2,8,"t","(2,2,2,2)",14,14,"unchecked",14,14],[2,8,"t","(3,1,1,1,1,1)",21,21,"unchecked",21,21],[2,8,"t","(3,2,1,1,1)",64,64,"unchecked",64,64],[2,8,"t","(3,2,2,1)",70,70,"unchecked",70,70],[2,8,"t","(3,3,1,1)",56,56,"unchecked",56,56],[2,8,"t","(3,3,2)",42,36,"lower bound",36,41],[2,8,"t","(4,1,1,1,1)",35,35,"unchecked",35,35],[2,8,"t","(4,2,1,1)",90,90,"unchecked",90,90],[2,8,"t","(4,2,2)",56,47,"lower bound",47,55],[2,8,"t","(4,3,1)",70,58,"lower bound",58,69],[2,8,"t","(4,4)",14,10,"lower bound",10,13],[2,8,"t","(5,1,1,1)",35,35,"unchecked",35,35],[2,8,"t","(5,2,1)",64,48,"lower bound",48,63],[2,8,"t","(5,3)",28,19,"lower bound",19,27],[2,8,"t","(6,1,1)",21,10,"lower bound",10,20],[2,8,"t","(6,2)",20,10,"lower bound",10,19],[2,8,"t","(7,1)",7,1,"lower bound",1,6],[2,8,"t","(8)",1,0,"unchecked",0,0],[2,9,"t","(1,1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[2,9,"t","(2,1,1,1,1,1,1,1)",8,8,"unchecked",8,8],[2,9,"t","(2,2,1,1,1,1,1)",27,27,"unchecked",27,27],[2,9,"t","(2,2,2,1,1,1)",48,48,"unchecked",48,48],[2,9,"t","(2,2,2,2,1)",42,42,"unchecked",42,42],[2,9,"t","(3,1,1,1,1,1,1)",28,28,"unchecked",28,28],[2,9,"t","(3,2,1,1,1,1)",105,105,"unchecked",105,105],[2,9,"t","(3,2,2,1,1)",162,162,"unchecked",162,162],[2,9,"t","(3,2,2,2)",84,84,"unchecked",84,84],[2,9,"t","(3,3,1,1,1)",120,120,"unchecked",120,120],[2,9,"t","(3,3,2,1)",168,168,"unchecked",168,168],[2,9,"t","(3,3,3)",42,38,"lower bound",38,41],[2,9,"t","(4,1,1,1,1,1)",56,56,"unchecked",56,56],[2,9,"t","(4,2,1,1,1)",189,189,"unchecked",189,189],[2,9,"t","(4,2,2,1)",216,216,"unchecked",216,216],[2,9,"t","(4,3,1,1)",216,216,"unchecked",216,216],[2,9,"t","(4,3,2)",168,156,"lower bound",156,167],[2,9,"t","(4,4,1)",84,76,"lower bound",76,83],[2,9,"t","(5,1,1,1,1)",70,70,"unchecked",70,70],[2,9,"t","(5,2,1,1)",189,189,"unchecked",189,189],[2,9,"t","(5,2,2)",120,108,"lower bound",108,119],[2,9,"t","(5,3,1)",162,144,"lower bound",144,161],[2,9,"t","(5,4)",42,34,"lower bound",34,41],[2,9,"t","(6,1,1,1)",56,56,"unchecked",56,56],[2,9,"t","(6,2,1)",105,85,"lower bound",85,104],[2,9,"t","(6,3)",48,36,"lower bound",36,47],[2,9,"t","(7,1,1)",28,15,"lower bound",15,27],[2,9,"t","(7,2)",27,15,"lower bound",15,26],[2,9,"t","(8,1)",8,1,"lower bound",1,7],[2,9,"t","(9)",1,0,"unchecked",0,0],[2,10,"t","(10)",1,0,"exact",0,0],[2,10,"t","(8,2)",35,21,"lower bound",21,34],[2,10,"t","(8,1,1)",36,21,"lower bound",21,35],[2,10,"t","(7,3)",75,60,"lower bound",60,74],[2,10,"t","(7,2,1)",160,136,"lower bound",136,159],[2,10,"t","(7,1,1,1)",84,84,"exact",84,84],[2,10,"t","(6,4)",90,78,"lower bound",78,89],[2,10,"t","(6,3,1)",315,291,"lower bound",291,314],[2,10,"t","(6,2,2)",225,210,"lower bound",210,224],[2,10,"t","(6,2,1,1)",350,350,"exact",350,350],[2,10,"t","(6,1,1,1,1)",126,126,"exact",126,126],[2,10,"t","(5,5)",42,37,"lower bound",37,41],[2,10,"t","(5,4,1)",288,272,"lower bound",272,287],[2,10,"t","(5,3,2)",450,432,"lower bound",432,449],[2,10,"t","(5,3,1,1)",567,567,"exact",567,567],[2,10,"t","(5,2,2,1)",525,525,"exact",525,525],[2,10,"t","(5,2,1,1,1)",448,448,"exact",448,448],[2,10,"t","(5,1,1,1,1,1)",126,126,"exact",126,126],[2,10,"t","(4,4,2)",252,243,"lower bound",243,251],[2,10,"t","(4,4,1,1)",300,300,"exact",300,300],[2,10,"t","(4,3,3)",210,202,"lower bound",202,209],[2,10,"t","(4,3,2,1)",768,768,"exact",768,768],[2,10,"t","(4,3,1,1,1)",525,525,"exact",525,525],[2,10,"t","(4,2,2,2)",300,300,"exact",300,300],[2,10,"t","(4,2,2,1,1)",567,567,"exact",567,567],[2,10,"t","(4,2,1,1,1,1)",350,350,"exact",350,350],[2,10,"t","(4,1,1,1,1,1,1)",84,84,"exact",84,84],[2,10,"t","(3,3,3,1)",210,210,"exact",210,210],[2,10,"t","(3,3,2,2)",252,252,"exact",252,252],[2,10,"t","(3,3,2,1,1)",450,450,"exact",450,450],[2,10,"t","(3,3,1,1,1,1)",225,225,"exact",225,225],[2,10,"t","(3,2,2,2,1)",288,288,"exact",288,288],[2,10,"t","(3,2,2,1,1,1)",315,315,"exact",315,315],[2,10,"t","(3,2,1,1,1,1,1)",160,160,"exact",160,160],[2,10,"t","(3,1,1,1,1,1,1,1)",36,36,"exact",36,36],[2,10,"t","(2,2,2,2,2)",42,42,"exact",42,42],[2,10,"t","(2,2,2,2,1,1)",90,90,"exact",90,90],[2,10,"t","(2,2,2,1,1,1,1)",75,75,"exact",75,75],[2,10,"t","(2,2,1,1,1,1,1,1)",35,35,"exact",35,35],[2,10,"t","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[2,10,"t","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,10,"t","(9,1)",9,1,"lower bound",1,8],[2,11,"t","(11)",1,0,"exact",0,0],[2,11,"t","(9,2)",44,28,"lower bound",28,43],[2,11,"t","(9,1,1)",45,28,"lower bound",28,44],[2,11,"t","(8,3)",110,92,"lower bound",92,109],[2,11,"t","(8,2,1)",231,203,"lower bound",203,230],[2,11,"t","(8,1,1,1)",120,120,"exact",120,120],[2,11,"t","(7,4)",165,149,"lower bound",149,164],[2,11,"t","(7,3,1)",550,520,"lower bound",520,549],[2,11,"t","(7,2,2)",385,367,"lower bound",367,384],[2,11,"t","(7,2,1,1)",594,594,"exact",594,594],[2,11,"t","(7,1,1,1,1)",210,210,"exact",210,210],[2,11,"t","(6,5)",132,122,"lower bound",122,131],[2,11,"t","(6,4,1)",693,669,"lower bound",669,692],[2,11,"t","(6,3,2)",990,966,"lower bound",966,989],[2,11,"t","(6,3,1,1)",1232,1232,"exact",1232,1232],[2,11,"t","(6,2,2,1)",1100,1100,"exact",1100,1100],[2,11,"t","(6,2,1,1,1)",924,924,"exact",924,924],[2,11,"t","(6,1,1,1,1,1)",252,252,"exact",252,252],[2,11,"t","(5,5,1)",330,320,"lower bound",320,329],[2,11,"t","(5,4,2)",990,972,"lower bound",972,989],[2,11,"t","(5,4,1,1)",1155,1155,"exact",1155,1155],[2,11,"t","(5,3,3)",660,648,"lower bound",648,659],[2,11,"t","(5,3,2,1)",2310,2310,"exact",2310,2310],[2,11,"t","(5,3,1,1,1)",1540,1540,"exact",1540,1540],[2,11,"t","(5,2,2,2)",825,825,"exact",825,825],[2,11,"t","(5,2,2,1,1)",1540,1540,"exact",1540,1540],[2,11,"t","(5,2,1,1,1,1)",924,924,"exact",924,924],[2,11,"t","(5,1,1,1,1,1,1)",210,210,"exact",210,210],[2,11,"t","(4,4,3)",462,454,"lower bound",454,461],[2,11,"t","(4,4,2,1)",1320,1320,"exact",1320,1320],[2,11,"t","(4,4,1,1,1)",825,825,"exact",825,825],[2,11,"t","(4,3,3,1)",1188,1188,"exact",1188,1188],[2,11,"t","(4,3,2,2)",1320,1320,"exact",1320,1320],[2,11,"t","(4,3,2,1,1)",2310,2310,"exact",2310,2310],[2,11,"t","(4,3,1,1,1,1)",1100,1100,"exact",1100,1100],[2,11,"t","(4,2,2,2,1)",1155,1155,"exact",1155,1155],[2,11,"t","(4,2,2,1,1,1)",1232,1232,"exact",1232,1232],[2,11,"t","(4,2,1,1,1,1,1)",594,594,"exact",594,594],[2,11,"t","(4,1,1,1,1,1,1,1)",120,120,"exact",120,120],[2,11,"t","(3,3,3,2)",462,462,"exact",462,462],[2,11,"t","(3,3,3,1,1)",660,660,"exact",660,660],[2,11,"t","(3,3,2,2,1)",990,990,"exact",990,990],[2,11,"t","(3,3,2,1,1,1)",990,990,"exact",990,990],[2,11,"t","(3,3,1,1,1,1,1)",385,385,"exact",385,385],[2,11,"t","(3,2,2,2,2)",330,330,"exact",330,330],[2,11,"t","(3,2,2,2,1,1)",693,693,"exact",693,693],[2,11,"t","(3,2,2,1,1,1,1)",550,550,"exact",550,550],[2,11,"t","(3,2,1,1,1,1,1,1)",231,231,"exact",231,231],[2,11,"t","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[2,11,"t","(2,2,2,2,2,1)",132,132,"exact",132,132],[2,11,"t","(2,2,2,2,1,1,1)",165,165,"exact",165,165],[2,11,"t","(2,2,2,1,1,1,1,1)",110,110,"exact",110,110],[2,11,"t","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[2,11,"t","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[2,11,"t","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,11,"t","(10,1)",10,1,"lower bound",1,9],[2,12,"t","(12)",1,0,"exact",0,0],[2,12,"t","(9,1,1,1)",165,165,"exact",165,165],[2,12,"t","(8,2,1,1)",945,945,"exact",945,945],[2,12,"t","(8,1,1,1,1)",330,330,"exact",330,330],[2,12,"t","(7,3,1,1)",2376,2376,"exact",2376,2376],[2,12,"t","(7,2,2,1)",2079,2079,"exact",2079,2079],[2,12,"t","(7,2,1,1,1)",1728,1728,"exact",1728,1728],[2,12,"t","(7,1,1,1,1,1)",462,462,"exact",462,462],[2,12,"t","(6,4,1,1)",3080,3080,"exact",3080,3080],[2,12,"t","(6,3,2,1)",5632,5632,"exact",5632,5632],[2,12,"t","(6,3,1,1,1)",3696,3696,"exact",3696,3696],[2,12,"t","(6,2,2,2)",1925,1925,"exact",1925,1925],[2,12,"t","(6,2,2,1,1)",3564,3564,"exact",3564,3564],[2,12,"t","(6,2,1,1,1,1)",2100,2100,"exact",2100,2100],[2,12,"t","(6,1,1,1,1,1,1)",462,462,"exact",462,462],[2,12,"t","(5,5,1,1)",1485,1485,"exact",1485,1485],[2,12,"t","(5,4,2,1)",5775,5775,"exact",5775,5775],[2,12,"t","(5,4,1,1,1)",3520,3520,"exact",3520,3520],[2,12,"t","(5,3,3,1)",4158,4158,"exact",4158,4158],[2,12,"t","(5,3,2,2)",4455,4455,"exact",4455,4455],[2,12,"t","(5,3,2,1,1)",7700,7700,"exact",7700,7700],[2,12,"t","(5,3,1,1,1,1)",3564,3564,"exact",3564,3564],[2,12,"t","(5,2,2,2,1)",3520,3520,"exact",3520,3520],[2,12,"t","(5,2,2,1,1,1)",3696,3696,"exact",3696,3696],[2,12,"t","(5,2,1,1,1,1,1)",1728,1728,"exact",1728,1728],[2,12,"t","(5,1,1,1,1,1,1,1)",330,330,"exact",330,330],[2,12,"t","(4,4,3,1)",2970,2970,"exact",2970,2970],[2,12,"t","(4,4,2,2)",2640,2640,"exact",2640,2640],[2,12,"t","(4,4,2,1,1)",4455,4455,"exact",4455,4455],[2,12,"t","(4,4,1,1,1,1)",1925,1925,"exact",1925,1925],[2,12,"t","(4,3,3,2)",2970,2970,"exact",2970,2970],[2,12,"t","(4,3,3,1,1)",4158,4158,"exact",4158,4158],[2,12,"t","(4,3,2,2,1)",5775,5775,"exact",5775,5775],[2,12,"t","(4,3,2,1,1,1)",5632,5632,"exact",5632,5632],[2,12,"t","(4,3,1,1,1,1,1)",2079,2079,"exact",2079,2079],[2,12,"t","(4,2,2,2,2)",1485,1485,"exact",1485,1485],[2,12,"t","(4,2,2,2,1,1)",3080,3080,"exact",3080,3080],[2,12,"t","(4,2,2,1,1,1,1)",2376,2376,"exact",2376,2376],[2,12,"t","(4,2,1,1,1,1,1,1)",945,945,"exact",945,945],[2,12,"t","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[2,12,"t","(3,3,3,3)",462,462,"exact",462,462],[2,12,"t","(3,3,3,2,1)",2112,2112,"exact",2112,2112],[2,12,"t","(3,3,3,1,1,1)",1650,1650,"exact",1650,1650],[2,12,"t","(3,3,2,2,2)",1320,1320,"exact",1320,1320],[2,12,"t","(3,3,2,2,1,1)",2673,2673,"exact",2673,2673],[2,12,"t","(3,3,2,1,1,1,1)",1925,1925,"exact",1925,1925],[2,12,"t","(3,3,1,1,1,1,1,1)",616,616,"exact",616,616],[2,12,"t","(3,2,2,2,2,1)",1155,1155,"exact",1155,1155],[2,12,"t","(3,2,2,2,1,1,1)",1408,1408,"exact",1408,1408],[2,12,"t","(3,2,2,1,1,1,1,1)",891,891,"exact",891,891],[2,12,"t","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[2,12,"t","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[2,12,"t","(2,2,2,2,2,2)",132,132,"exact",132,132],[2,12,"t","(2,2,2,2,2,1,1)",297,297,"exact",297,297],[2,12,"t","(2,2,2,2,1,1,1,1)",275,275,"exact",275,275],[2,12,"t","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[2,12,"t","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[2,12,"t","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[2,12,"t","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,12,"t","(11,1)",11,1,"lower bound",1,10],[2,12,"t","(10,2)",54,36,"lower bound",36,53],[2,12,"t","(10,1,1)",55,36,"lower bound",36,54],[2,12,"t","(6,6)",132,122,"lower bound",122,131],[2,12,"t","(9,3)",154,131,"lower bound",131,153],[2,12,"t","(8,4)",275,250,"lower bound",250,274],[2,12,"t","(7,5)",297,277,"lower bound",277,296],[2,12,"t","(9,2,1)",320,287,"lower bound",287,319],[2,12,"t","(4,4,4)",462,454,"lower bound",454,461],[2,12,"t","(8,2,2)",616,590,"lower bound",590,615],[2,12,"t","(8,3,1)",891,815,"lower bound",815,890],[2,12,"t","(6,5,1)",1155,1111,"lower bound",1111,1154],[2,12,"t","(5,5,2)",1320,1292,"lower bound",1292,1319],[2,12,"t","(7,4,1)",1408,1338,"lower bound",1338,1407],[2,12,"t","(6,3,3)",1650,1614,"lower bound",1614,1649],[2,12,"t","(7,3,2)",1925,1853,"lower bound",1853,1924],[2,12,"t","(5,4,3)",2112,2074,"lower bound",2074,2111],[2,12,"t","(6,4,2)",2673,2607,"lower bound",2607,2672],[2,13,"t","(13)",1,0,"exact",0,0],[2,13,"t","(10,1,1,1)",220,220,"exact",220,220],[2,13,"t","(9,2,1,1)",1430,1430,"exact",1430,1430],[2,13,"t","(9,1,1,1,1)",495,495,"exact",495,495],[2,13,"t","(8,3,1,1)",4212,4212,"exact",4212,4212],[2,13,"t","(8,2,2,1)",3640,3640,"exact",3640,3640],[2,13,"t","(8,2,1,1,1)",3003,3003,"exact",3003,3003],[2,13,"t","(8,1,1,1,1,1)",792,792,"exact",792,792],[2,13,"t","(7,4,1,1)",6864,6864,"exact",6864,6864],[2,13,"t","(7,3,2,1)",12012,12012,"exact",12012,12012],[2,13,"t","(7,3,1,1,1)",7800,7800,"exact",7800,7800],[2,13,"t","(7,2,2,2)",4004,4004,"exact",4004,4004],[2,13,"t","(7,2,2,1,1)",7371,7371,"exact",7371,7371],[2,13,"t","(7,2,1,1,1,1)",4290,4290,"exact",4290,4290],[2,13,"t","(7,1,1,1,1,1,1)",924,924,"exact",924,924],[2,13,"t","(6,5,1,1)",5720,5720,"exact",5720,5720],[2,13,"t","(6,4,2,1)",17160,17160,"exact",17160,17160],[2,13,"t","(6,4,1,1,1)",10296,10296,"exact",10296,10296],[2,13,"t","(6,3,3,1)",11440,11440,"exact",11440,11440],[2,13,"t","(6,3,2,2)",12012,12012,"exact",12012,12012],[2,13,"t","(6,3,2,1,1)",20592,20592,"exact",20592,20592],[2,13,"t","(6,3,1,1,1,1)",9360,9360,"exact",9360,9360],[2,13,"t","(6,2,2,2,1)",9009,9009,"exact",9009,9009],[2,13,"t","(6,2,2,1,1,1)",9360,9360,"exact",9360,9360],[2,13,"t","(6,2,1,1,1,1,1)",4290,4290,"exact",4290,4290],[2,13,"t","(6,1,1,1,1,1,1,1)",792,792,"exact",792,792],[2,13,"t","(5,5,2,1)",8580,8580,"exact",8580,8580],[2,13,"t","(5,5,1,1,1)",5005,5005,"exact",5005,5005],[2,13,"t","(5,4,3,1)",15015,15015,"exact",15015,15015],[2,13,"t","(5,4,2,2)",12870,12870,"exact",12870,12870],[2,13,"t","(5,4,2,1,1)",21450,21450,"exact",21450,21450],[2,13,"t","(5,4,1,1,1,1)",9009,9009,"exact",9009,9009],[2,13,"t","(5,3,3,2)",11583,11583,"exact",11583,11583],[2,13,"t","(5,3,3,1,1)",16016,16016,"exact",16016,16016],[2,13,"t","(5,3,2,2,1)",21450,21450,"exact",21450,21450],[2,13,"t","(5,3,2,1,1,1)",20592,20592,"exact",20592,20592],[2,13,"t","(5,3,1,1,1,1,1)",7371,7371,"exact",7371,7371],[2,13,"t","(5,2,2,2,2)",5005,5005,"exact",5005,5005],[2,13,"t","(5,2,2,2,1,1)",10296,10296,"exact",10296,10296],[2,13,"t","(5,2,2,1,1,1,1)",7800,7800,"exact",7800,7800],[2,13,"t","(5,2,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,13,"t","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[2,13,"t","(4,4,4,1)",3432,3432,"exact",3432,3432],[2,13,"t","(4,4,3,2)",8580,8580,"exact",8580,8580],[2,13,"t","(4,4,3,1,1)",11583,11583,"exact",11583,11583],[2,13,"t","(4,4,2,2,1)",12870,12870,"exact",12870,12870],[2,13,"t","(4,4,2,1,1,1)",12012,12012,"exact",12012,12012],[2,13,"t","(4,4,1,1,1,1,1)",4004,4004,"exact",4004,4004],[2,13,"t","(4,3,3,3)",3432,3432,"exact",3432,3432],[2,13,"t","(4,3,3,2,1)",15015,15015,"exact",15015,15015],[2,13,"t","(4,3,3,1,1,1)",11440,11440,"exact",11440,11440],[2,13,"t","(4,3,2,2,2)",8580,8580,"exact",8580,8580],[2,13,"t","(4,3,2,2,1,1)",17160,17160,"exact",17160,17160],[2,13,"t","(4,3,2,1,1,1,1)",12012,12012,"exact",12012,12012],[2,13,"t","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[2,13,"t","(4,2,2,2,2,1)",5720,5720,"exact",5720,5720],[2,13,"t","(4,2,2,2,1,1,1)",6864,6864,"exact",6864,6864],[2,13,"t","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[2,13,"t","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[2,13,"t","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[2,13,"t","(3,3,3,3,1)",2574,2574,"exact",2574,2574],[2,13,"t","(3,3,3,2,2)",3432,3432,"exact",3432,3432],[2,13,"t","(3,3,3,2,1,1)",6435,6435,"exact",6435,6435],[2,13,"t","(3,3,3,1,1,1,1)",3575,3575,"exact",3575,3575],[2,13,"t","(3,3,2,2,2,1)",5148,5148,"exact",5148,5148],[2,13,"t","(3,3,2,2,1,1,1)",6006,6006,"exact",6006,6006],[2,13,"t","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[2,13,"t","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[2,13,"t","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[2,13,"t","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[2,13,"t","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[2,13,"t","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,13,"t","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[2,13,"t","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[2,13,"t","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[2,13,"t","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[2,13,"t","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[2,13,"t","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[2,13,"t","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[2,13,"t","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[2,13,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,13,"t","(12,1)",12,1,"lower bound",1,11],[2,13,"t","(11,2)",65,45,"lower bound",45,64],[2,13,"t","(11,1,1)",66,45,"lower bound",45,65],[2,13,"t","(10,3)",208,183,"lower bound",183,207],[2,13,"t","(7,6)",429,404,"lower bound",404,428],[2,13,"t","(9,4)",429,400,"lower bound",400,428],[2,13,"t","(10,2,1)",429,392,"lower bound",392,428],[2,13,"t","(8,5)",572,540,"lower bound",540,571],[2,13,"t","(9,2,2)",936,908,"lower bound",908,935],[2,13,"t","(6,6,1)",1287,1233,"lower bound",1233,1286],[2,13,"t","(9,3,1)",1365,1270,"lower bound",1270,1364],[2,13,"t","(5,4,4)",2574,2528,"lower bound",2528,2573],[2,13,"t","(8,4,1)",2574,2403,"lower bound",2403,2573],[2,13,"t","(7,5,1)",2860,2726,"lower bound",2726,2859],[2,13,"t","(5,5,3)",3432,3366,"lower bound",3366,3431],[2,13,"t","(8,3,2)",3432,3258,"lower bound",3258,3431],[2,13,"t","(7,3,3)",3575,3467,"lower bound",3467,3574],[2,13,"t","(6,5,2)",5148,5010,"lower bound",5010,5147],[2,13,"t","(7,4,2)",6006,5798,"lower bound",5798,6005],[2,13,"t","(6,4,3)",6435,6295,"lower bound",6295,6434],[2,14,"t","(14)",1,0,"exact",0,0],[2,14,"t","(11,1,1,1)",286,286,"exact",286,286],[2,14,"t","(10,2,1,1)",2079,2079,"exact",2079,2079],[2,14,"t","(10,1,1,1,1)",715,715,"exact",715,715],[2,14,"t","(9,3,1,1)",7007,7007,"exact",7007,7007],[2,14,"t","(9,2,2,1)",6006,6006,"exact",6006,6006],[2,14,"t","(9,2,1,1,1)",4928,4928,"exact",4928,4928],[2,14,"t","(9,1,1,1,1,1)",1287,1287,"exact",1287,1287],[2,14,"t","(8,4,1,1)",13650,13650,"exact",13650,13650],[2,14,"t","(8,3,2,1)",23296,23296,"exact",23296,23296],[2,14,"t","(8,3,1,1,1)",15015,15015,"exact",15015,15015],[2,14,"t","(8,2,2,2)",7644,7644,"exact",7644,7644],[2,14,"t","(8,2,2,1,1)",14014,14014,"exact",14014,14014],[2,14,"t","(8,2,1,1,1,1)",8085,8085,"exact",8085,8085],[2,14,"t","(8,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[2,14,"t","(7,5,1,1)",15444,15444,"exact",15444,15444],[2,14,"t","(7,4,2,1)",42042,42042,"exact",42042,42042],[2,14,"t","(7,4,1,1,1)",24960,24960,"exact",24960,24960],[2,14,"t","(7,3,3,1)",27027,27027,"exact",27027,27027],[2,14,"t","(7,3,2,2)",28028,28028,"exact",28028,28028],[2,14,"t","(7,3,2,1,1)",47775,47775,"exact",47775,47775],[2,14,"t","(7,3,1,1,1,1)",21450,21450,"exact",21450,21450],[2,14,"t","(7,2,2,2,1)",20384,20384,"exact",20384,20384],[2,14,"t","(7,2,2,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"t","(7,2,1,1,1,1,1)",9504,9504,"exact",9504,9504],[2,14,"t","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[2,14,"t","(6,6,1,1)",7007,7007,"exact",7007,7007],[2,14,"t","(6,5,2,1)",36608,36608,"exact",36608,36608],[2,14,"t","(6,5,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"t","(6,4,3,1)",50050,50050,"exact",50050,50050],[2,14,"t","(6,4,2,2)",42042,42042,"exact",42042,42042],[2,14,"t","(6,4,2,1,1)",69498,69498,"exact",69498,69498],[2,14,"t","(6,4,1,1,1,1)",28665,28665,"exact",28665,28665],[2,14,"t","(6,3,3,2)",35035,35035,"exact",35035,35035],[2,14,"t","(6,3,3,1,1)",48048,48048,"exact",48048,48048],[2,14,"t","(6,3,2,2,1)",63063,63063,"exact",63063,63063],[2,14,"t","(6,3,2,1,1,1)",59904,59904,"exact",59904,59904],[2,14,"t","(6,3,1,1,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"t","(6,2,2,2,2)",14014,14014,"exact",14014,14014],[2,14,"t","(6,2,2,2,1,1)",28665,28665,"exact",28665,28665],[2,14,"t","(6,2,2,1,1,1,1)",21450,21450,"exact",21450,21450],[2,14,"t","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[2,14,"t","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[2,14,"t","(5,5,3,1)",27027,27027,"exact",27027,27027],[2,14,"t","(5,5,2,2)",21450,21450,"exact",21450,21450],[2,14,"t","(5,5,2,1,1)",35035,35035,"exact",35035,35035],[2,14,"t","(5,5,1,1,1,1)",14014,14014,"exact",14014,14014],[2,14,"t","(5,4,4,1)",21021,21021,"exact",21021,21021],[2,14,"t","(5,4,3,2)",48048,48048,"exact",48048,48048],[2,14,"t","(5,4,3,1,1)",64064,64064,"exact",64064,64064],[2,14,"t","(5,4,2,2,1)",68640,68640,"exact",68640,68640],[2,14,"t","(5,4,2,1,1,1)",63063,63063,"exact",63063,63063],[2,14,"t","(5,4,1,1,1,1,1)",20384,20384,"exact",20384,20384],[2,14,"t","(5,3,3,3)",15015,15015,"exact",15015,15015],[2,14,"t","(5,3,3,2,1)",64064,64064,"exact",64064,64064],[2,14,"t","(5,3,3,1,1,1)",48048,48048,"exact",48048,48048],[2,14,"t","(5,3,2,2,2)",35035,35035,"exact",35035,35035],[2,14,"t","(5,3,2,2,1,1)",69498,69498,"exact",69498,69498],[2,14,"t","(5,3,2,1,1,1,1)",47775,47775,"exact",47775,47775],[2,14,"t","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[2,14,"t","(5,2,2,2,2,1)",21021,21021,"exact",21021,21021],[2,14,"t","(5,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[2,14,"t","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[2,14,"t","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[2,14,"t","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[2,14,"t","(4,4,4,2)",12012,12012,"exact",12012,12012],[2,14,"t","(4,4,4,1,1)",15015,15015,"exact",15015,15015],[2,14,"t","(4,4,3,3)",12012,12012,"exact",12012,12012],[2,14,"t","(4,4,3,2,1)",48048,48048,"exact",48048,48048],[2,14,"t","(4,4,3,1,1,1)",35035,35035,"exact",35035,35035],[2,14,"t","(4,4,2,2,2)",21450,21450,"exact",21450,21450],[2,14,"t","(4,4,2,2,1,1)",42042,42042,"exact",42042,42042],[2,14,"t","(4,4,2,1,1,1,1)",28028,28028,"exact",28028,28028],[2,14,"t","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[2,14,"t","(4,3,3,3,1)",21021,21021,"exact",21021,21021],[2,14,"t","(4,3,3,2,2)",27027,27027,"exact",27027,27027],[2,14,"t","(4,3,3,2,1,1)",50050,50050,"exact",50050,50050],[2,14,"t","(4,3,3,1,1,1,1)",27027,27027,"exact",27027,27027],[2,14,"t","(4,3,2,2,2,1)",36608,36608,"exact",36608,36608],[2,14,"t","(4,3,2,2,1,1,1)",42042,42042,"exact",42042,42042],[2,14,"t","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[2,14,"t","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[2,14,"t","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[2,14,"t","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[2,14,"t","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[2,14,"t","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,14,"t","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[2,14,"t","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[2,14,"t","(3,3,3,3,2)",6006,6006,"exact",6006,6006],[2,14,"t","(3,3,3,3,1,1)",9009,9009,"exact",9009,9009],[2,14,"t","(3,3,3,2,2,1)",15015,15015,"exact",15015,15015],[2,14,"t","(3,3,3,2,1,1,1)",16016,16016,"exact",16016,16016],[2,14,"t","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,14,"t","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[2,14,"t","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[2,14,"t","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[2,14,"t","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[2,14,"t","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,14,"t","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[2,14,"t","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[2,14,"t","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,14,"t","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,14,"t","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[2,14,"t","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[2,14,"t","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[2,14,"t","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[2,14,"t","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[2,14,"t","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[2,14,"t","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[2,14,"t","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[2,14,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[2,14,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,14,"t","(13,1)",13,1,"lower bound",1,12],[2,14,"t","(12,2)",77,55,"lower bound",55,76],[2,14,"t","(12,1,1)",78,55,"lower bound",55,77],[2,14,"t","(11,3)",273,246,"lower bound",246,272],[2,14,"t","(7,7)",429,409,"lower bound",409,428],[2,14,"t","(11,2,1)",560,518,"lower bound",518,559],[2,14,"t","(10,4)",637,607,"lower bound",607,636],[2,14,"t","(8,6)",1001,969,"lower bound",969,1000],[2,14,"t","(9,5)",1001,970,"lower bound",970,1000],[2,14,"t","(10,2,2)",1365,1336,"lower bound",1336,1364],[2,14,"t","(10,3,1)",2002,1905,"lower bound",1905,2001],[2,14,"t","(9,4,1)",4368,4073,"lower bound",4073,4367],[2,14,"t","(7,6,1)",4576,4363,"lower bound",4363,4575],[2,14,"t","(9,3,2)",5733,5436,"lower bound",5436,5732],[2,14,"t","(5,5,4)",6006,5894,"lower bound",5894,6005],[2,14,"t","(8,5,1)",6006,5669,"lower bound",5669,6005],[2,14,"t","(6,6,2)",6435,6243,"lower bound",6243,6434],[2,14,"t","(8,3,3)",7007,6725,"lower bound",6725,7006],[2,14,"t","(6,4,4)",9009,8823,"lower bound",8823,9008],[2,14,"t","(8,4,2)",12012,11459,"lower bound",11459,12011],[2,14,"t","(7,5,2)",14014,13534,"lower bound",13534,14013],[2,14,"t","(6,5,3)",15015,14671,"lower bound",14671,15014],[2,14,"t","(7,4,3)",16016,15560,"lower bound",15560,16015],[2,15,"t","(15)",1,0,"exact",0,0],[2,15,"t","(12,1,1,1)",364,364,"exact",364,364],[2,15,"t","(11,2,1,1)",2925,2925,"exact",2925,2925],[2,15,"t","(11,1,1,1,1)",1001,1001,"exact",1001,1001],[2,15,"t","(10,3,1,1)",11088,11088,"exact",11088,11088],[2,15,"t","(10,2,2,1)",9450,9450,"exact",9450,9450],[2,15,"t","(10,2,1,1,1)",7722,7722,"exact",7722,7722],[2,15,"t","(10,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"t","(9,4,1,1)",25025,25025,"exact",25025,25025],[2,15,"t","(9,3,2,1)",42042,42042,"exact",42042,42042],[2,15,"t","(9,3,1,1,1)",26950,26950,"exact",26950,26950],[2,15,"t","(9,2,2,2)",13650,13650,"exact",13650,13650],[2,15,"t","(9,2,2,1,1)",24948,24948,"exact",24948,24948],[2,15,"t","(9,2,1,1,1,1)",14300,14300,"exact",14300,14300],[2,15,"t","(9,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,15,"t","(8,5,1,1)",35100,35100,"exact",35100,35100],[2,15,"t","(8,4,2,1)",91000,91000,"exact",91000,91000],[2,15,"t","(8,4,1,1,1)",53625,53625,"exact",53625,53625],[2,15,"t","(8,3,3,1)",57330,57330,"exact",57330,57330],[2,15,"t","(8,3,2,2)",58968,58968,"exact",58968,58968],[2,15,"t","(8,3,2,1,1)",100100,100100,"exact",100100,100100],[2,15,"t","(8,3,1,1,1,1)",44550,44550,"exact",44550,44550],[2,15,"t","(8,2,2,2,1)",42042,42042,"exact",42042,42042],[2,15,"t","(8,2,2,1,1,1)",43120,43120,"exact",43120,43120],[2,15,"t","(8,2,1,1,1,1,1)",19305,19305,"exact",19305,19305],[2,15,"t","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[2,15,"t","(7,6,1,1)",27027,27027,"exact",27027,27027],[2,15,"t","(7,5,2,1)",108108,108108,"exact",108108,108108],[2,15,"t","(7,5,1,1,1)",61425,61425,"exact",61425,61425],[2,15,"t","(7,4,3,1)",135135,135135,"exact",135135,135135],[2,15,"t","(7,4,2,2)",112112,112112,"exact",112112,112112],[2,15,"t","(7,4,2,1,1)",184275,184275,"exact",184275,184275],[2,15,"t","(7,4,1,1,1,1)",75075,75075,"exact",75075,75075],[2,15,"t","(7,3,3,2)",90090,90090,"exact",90090,90090],[2,15,"t","(7,3,3,1,1)",122850,122850,"exact",122850,122850],[2,15,"t","(7,3,2,2,1)",159250,159250,"exact",159250,159250],[2,15,"t","(7,3,2,1,1,1)",150150,150150,"exact",150150,150150],[2,15,"t","(7,3,1,1,1,1,1)",51975,51975,"exact",51975,51975],[2,15,"t","(7,2,2,2,2)",34398,34398,"exact",34398,34398],[2,15,"t","(7,2,2,2,1,1)",70070,70070,"exact",70070,70070],[2,15,"t","(7,2,2,1,1,1,1)",51975,51975,"exact",51975,51975],[2,15,"t","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[2,15,"t","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,15,"t","(6,6,2,1)",50050,50050,"exact",50050,50050],[2,15,"t","(6,6,1,1,1)",28028,28028,"exact",28028,28028],[2,15,"t","(6,5,3,1)",128700,128700,"exact",128700,128700],[2,15,"t","(6,5,2,2)",100100,100100,"exact",100100,100100],[2,15,"t","(6,5,2,1,1)",162162,162162,"exact",162162,162162],[2,15,"t","(6,5,1,1,1,1)",63700,63700,"exact",63700,63700],[2,15,"t","(6,4,4,1)",80080,80080,"exact",80080,80080],[2,15,"t","(6,4,3,2)",175175,175175,"exact",175175,175175],[2,15,"t","(6,4,3,1,1)",231660,231660,"exact",231660,231660],[2,15,"t","(6,4,2,2,1)",243243,243243,"exact",243243,243243],[2,15,"t","(6,4,2,1,1,1)",221130,221130,"exact",221130,221130],[2,15,"t","(6,4,1,1,1,1,1)",70070,70070,"exact",70070,70070],[2,15,"t","(6,3,3,3)",50050,50050,"exact",50050,50050],[2,15,"t","(6,3,3,2,1)",210210,210210,"exact",210210,210210],[2,15,"t","(6,3,3,1,1,1)",156000,156000,"exact",156000,156000],[2,15,"t","(6,3,2,2,2)",112112,112112,"exact",112112,112112],[2,15,"t","(6,3,2,2,1,1)",221130,221130,"exact",221130,221130],[2,15,"t","(6,3,2,1,1,1,1)",150150,150150,"exact",150150,150150],[2,15,"t","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[2,15,"t","(6,2,2,2,2,1)",63700,63700,"exact",63700,63700],[2,15,"t","(6,2,2,2,1,1,1)",75075,75075,"exact",75075,75075],[2,15,"t","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[2,15,"t","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[2,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"t","(5,5,4,1)",54054,54054,"exact",54054,54054],[2,15,"t","(5,5,3,2)",96525,96525,"exact",96525,96525],[2,15,"t","(5,5,3,1,1)",126126,126126,"exact",126126,126126],[2,15,"t","(5,5,2,2,1)",125125,125125,"exact",125125,125125],[2,15,"t","(5,5,2,1,1,1)",112112,112112,"exact",112112,112112],[2,15,"t","(5,5,1,1,1,1,1)",34398,34398,"exact",34398,34398],[2,15,"t","(5,4,4,2)",81081,81081,"exact",81081,81081],[2,15,"t","(5,4,4,1,1)",100100,100100,"exact",100100,100100],[2,15,"t","(5,4,3,3)",75075,75075,"exact",75075,75075],[2,15,"t","(5,4,3,2,1)",292864,292864,"exact",292864,292864],[2,15,"t","(5,4,3,1,1,1)",210210,210210,"exact",210210,210210],[2,15,"t","(5,4,2,2,2)",125125,125125,"exact",125125,125125],[2,15,"t","(5,4,2,2,1,1)",243243,243243,"exact",243243,243243],[2,15,"t","(5,4,2,1,1,1,1)",159250,159250,"exact",159250,159250],[2,15,"t","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,15,"t","(5,3,3,3,1)",100100,100100,"exact",100100,100100],[2,15,"t","(5,3,3,2,2)",126126,126126,"exact",126126,126126],[2,15,"t","(5,3,3,2,1,1)",231660,231660,"exact",231660,231660],[2,15,"t","(5,3,3,1,1,1,1)",122850,122850,"exact",122850,122850],[2,15,"t","(5,3,2,2,2,1)",162162,162162,"exact",162162,162162],[2,15,"t","(5,3,2,2,1,1,1)",184275,184275,"exact",184275,184275],[2,15,"t","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[2,15,"t","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[2,15,"t","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[2,15,"t","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[2,15,"t","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[2,15,"t","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[2,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[2,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[2,15,"t","(4,4,4,3)",24024,24024,"exact",24024,24024],[2,15,"t","(4,4,4,2,1)",75075,75075,"exact",75075,75075],[2,15,"t","(4,4,4,1,1,1)",50050,50050,"exact",50050,50050],[2,15,"t","(4,4,3,3,1)",81081,81081,"exact",81081,81081],[2,15,"t","(4,4,3,2,2)",96525,96525,"exact",96525,96525],[2,15,"t","(4,4,3,2,1,1)",175175,175175,"exact",175175,175175],[2,15,"t","(4,4,3,1,1,1,1)",90090,90090,"exact",90090,90090],[2,15,"t","(4,4,2,2,2,1)",100100,100100,"exact",100100,100100],[2,15,"t","(4,4,2,2,1,1,1)",112112,112112,"exact",112112,112112],[2,15,"t","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[2,15,"t","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[2,15,"t","(4,3,3,3,2)",54054,54054,"exact",54054,54054],[2,15,"t","(4,3,3,3,1,1)",80080,80080,"exact",80080,80080],[2,15,"t","(4,3,3,2,2,1)",128700,128700,"exact",128700,128700],[2,15,"t","(4,3,3,2,1,1,1)",135135,135135,"exact",135135,135135],[2,15,"t","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[2,15,"t","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[2,15,"t","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[2,15,"t","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[2,15,"t","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[2,15,"t","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[2,15,"t","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[2,15,"t","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[2,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[2,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[2,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[2,15,"t","(3,3,3,3,3)",6006,6006,"exact",6006,6006],[2,15,"t","(3,3,3,3,2,1)",30030,30030,"exact",30030,30030],[2,15,"t","(3,3,3,3,1,1,1)",25025,25025,"exact",25025,25025],[2,15,"t","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[2,15,"t","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[2,15,"t","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[2,15,"t","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[2,15,"t","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[2,15,"t","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[2,15,"t","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[2,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[2,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[2,15,"t","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[2,15,"t","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[2,15,"t","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[2,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[2,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[2,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[2,15,"t","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[2,15,"t","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[2,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[2,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[2,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[2,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[2,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,15,"t","(14,1)",14,1,"lower bound",1,13],[2,15,"t","(13,2)",90,66,"lower bound",66,89],[2,15,"t","(13,1,1)",91,66,"lower bound",66,90],[2,15,"t","(12,3)",350,320,"lower bound",320,349],[2,15,"t","(12,2,1)",715,669,"lower bound",669,714],[2,15,"t","(11,4)",910,878,"lower bound",878,909],[2,15,"t","(8,7)",1430,1416,"lower bound",1416,1429],[2,15,"t","(10,5)",1638,1608,"lower bound",1608,1637],[2,15,"t","(11,2,2)",1925,1895,"lower bound",1895,1924],[2,15,"t","(9,6)",2002,1939,"lower bound",1939,2001],[2,15,"t","(11,3,1)",2835,2669,"lower bound",2669,2834],[2,15,"t","(7,7,1)",5005,4772,"lower bound",4772,5004],[2,15,"t","(5,5,5)",6006,5894,"lower bound",5894,6005],[2,15,"t","(10,4,1)",7007,6585,"lower bound",6585,7006],[2,15,"t","(10,3,2)",9100,8677,"lower bound",8677,9099],[2,15,"t","(9,5,1)",11375,10712,"lower bound",10712,11374],[2,15,"t","(8,6,1)",11583,11001,"lower bound",11001,11582],[2,15,"t","(9,3,3)",12740,12161,"lower bound",12161,12739],[2,15,"t","(6,5,4)",30030,29388,"lower bound",29388,30030],[2,15,"t","(6,6,3)",21450,20914,"lower bound",20914,21450],[2,15,"t","(7,4,4)",25025,24383,"lower bound",24383,25025],[2,15,"t","(7,5,3)",45045,43765,"lower bound",43765,45045],[2,15,"t","(7,6,2)",25025,24140,"lower bound",24140,25025],[2,15,"t","(8,4,3)",35035,33744,"lower bound",33744,35035],[2,15,"t","(8,5,2)",32032,30662,"lower bound",30662,32032],[2,15,"t","(9,4,2)",22113,20968,"lower bound",20968,22113],[2,16,"t","(16)",1,0,"exact",0,0],[2,16,"t","(13,1,1,1)",455,455,"exact",455,455],[2,16,"t","(12,2,1,1)",4004,4004,"exact",4004,4004],[2,16,"t","(12,1,1,1,1)",1365,1365,"exact",1365,1365],[2,16,"t","(11,3,1,1)",16848,16848,"exact",16848,16848],[2,16,"t","(11,2,2,1)",14300,14300,"exact",14300,14300],[2,16,"t","(11,2,1,1,1)",11648,11648,"exact",11648,11648],[2,16,"t","(11,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,16,"t","(10,4,1,1)",43120,43120,"exact",43120,43120],[2,16,"t","(10,3,2,1)",71680,71680,"exact",71680,71680],[2,16,"t","(10,3,1,1,1)",45760,45760,"exact",45760,45760],[2,16,"t","(10,2,2,2)",23100,23100,"exact",23100,23100],[2,16,"t","(10,2,2,1,1)",42120,42120,"exact",42120,42120],[2,16,"t","(10,2,1,1,1,1)",24024,24024,"exact",24024,24024],[2,16,"t","(10,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[2,16,"t","(9,5,1,1)",71500,71500,"exact",71500,71500],[2,16,"t","(9,4,2,1)",180180,180180,"exact",180180,180180],[2,16,"t","(9,4,1,1,1)",105600,105600,"exact",105600,105600],[2,16,"t","(9,3,3,1)",112112,112112,"exact",112112,112112],[2,16,"t","(9,3,2,2)",114660,114660,"exact",114660,114660],[2,16,"t","(9,3,2,1,1)",194040,194040,"exact",194040,194040],[2,16,"t","(9,3,1,1,1,1)",85800,85800,"exact",85800,85800],[2,16,"t","(9,2,2,2,1)",80640,80640,"exact",80640,80640],[2,16,"t","(9,2,2,1,1,1)",82368,82368,"exact",82368,82368],[2,16,"t","(9,2,1,1,1,1,1)",36608,36608,"exact",36608,36608],[2,16,"t","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[2,16,"t","(8,6,1,1)",73710,73710,"exact",73710,73710],[2,16,"t","(8,5,2,1)",266240,266240,"exact",266240,266240],[2,16,"t","(8,5,1,1,1)",150150,150150,"exact",150150,150150],[2,16,"t","(8,4,3,1)",318500,318500,"exact",318500,318500],[2,16,"t","(8,4,2,2)",262080,262080,"exact",262080,262080],[2,16,"t","(8,4,2,1,1)",429000,429000,"exact",429000,429000],[2,16,"t","(8,4,1,1,1,1)",173250,173250,"exact",173250,173250],[2,16,"t","(8,3,3,2)",206388,206388,"exact",206388,206388],[2,16,"t","(8,3,3,1,1)",280280,280280,"exact",280280,280280],[2,16,"t","(8,3,2,2,1)",360360,360360,"exact",360360,360360],[2,16,"t","(8,3,2,1,1,1)",337920,337920,"exact",337920,337920],[2,16,"t","(8,3,1,1,1,1,1)",115830,115830,"exact",115830,115830],[2,16,"t","(8,2,2,2,2)",76440,76440,"exact",76440,76440],[2,16,"t","(8,2,2,2,1,1)",155232,155232,"exact",155232,155232],[2,16,"t","(8,2,2,1,1,1,1)",114400,114400,"exact",114400,114400],[2,16,"t","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,16,"t","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[2,16,"t","(7,7,1,1)",32032,32032,"exact",32032,32032],[2,16,"t","(7,6,2,1)",210210,210210,"exact",210210,210210],[2,16,"t","(7,6,1,1,1)",116480,116480,"exact",116480,116480],[2,16,"t","(7,5,3,1)",416988,416988,"exact",416988,416988],[2,16,"t","(7,5,2,2)",320320,320320,"exact",320320,320320],[2,16,"t","(7,5,2,1,1)",515970,515970,"exact",515970,515970],[2,16,"t","(7,5,1,1,1,1)",200200,200200,"exact",200200,200200],[2,16,"t","(7,4,4,1)",240240,240240,"exact",240240,240240],[2,16,"t","(7,4,3,2)",512512,512512,"exact",512512,512512],[2,16,"t","(7,4,3,1,1)",673920,673920,"exact",673920,673920],[2,16,"t","(7,4,2,2,1)",698880,698880,"exact",698880,698880],[2,16,"t","(7,4,2,1,1,1)",630630,630630,"exact",630630,630630],[2,16,"t","(7,4,1,1,1,1,1)",197120,197120,"exact",197120,197120],[2,16,"t","(7,3,3,3)",140140,140140,"exact",140140,140140],[2,16,"t","(7,3,3,2,1)",582400,582400,"exact",582400,582400],[2,16,"t","(7,3,3,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"t","(7,3,2,2,2)",305760,305760,"exact",305760,305760],[2,16,"t","(7,3,2,2,1,1)",600600,600600,"exact",600600,600600],[2,16,"t","(7,3,2,1,1,1,1)",404250,404250,"exact",404250,404250],[2,16,"t","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[2,16,"t","(7,2,2,2,2,1)",168168,168168,"exact",168168,168168],[2,16,"t","(7,2,2,2,1,1,1)",197120,197120,"exact",197120,197120],[2,16,"t","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[2,16,"t","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[2,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[2,16,"t","(6,6,3,1)",200200,200200,"exact",200200,200200],[2,16,"t","(6,6,2,2)",150150,150150,"exact",150150,150150],[2,16,"t","(6,6,2,1,1)",240240,240240,"exact",240240,240240],[2,16,"t","(6,6,1,1,1,1)",91728,91728,"exact",91728,91728],[2,16,"t","(6,5,4,1)",292864,292864,"exact",292864,292864],[2,16,"t","(6,5,3,2)",500500,500500,"exact",500500,500500],[2,16,"t","(6,5,3,1,1)",648648,648648,"exact",648648,648648],[2,16,"t","(6,5,2,2,1)",630630,630630,"exact",630630,630630],[2,16,"t","(6,5,2,1,1,1)",559104,559104,"exact",559104,559104],[2,16,"t","(6,5,1,1,1,1,1)",168168,168168,"exact",168168,168168],[2,16,"t","(6,4,4,2)",336336,336336,"exact",336336,336336],[2,16,"t","(6,4,4,1,1)",411840,411840,"exact",411840,411840],[2,16,"t","(6,4,3,3)",300300,300300,"exact",300300,300300],[2,16,"t","(6,4,3,2,1)",1153152,1153152,"exact",1153152,1153152],[2,16,"t","(6,4,3,1,1,1)",819000,819000,"exact",819000,819000],[2,16,"t","(6,4,2,2,2)",480480,480480,"exact",480480,480480],[2,16,"t","(6,4,2,2,1,1)",928746,928746,"exact",928746,928746],[2,16,"t","(6,4,2,1,1,1,1)",600600,600600,"exact",600600,600600],[2,16,"t","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[2,16,"t","(6,3,3,3,1)",360360,360360,"exact",360360,360360],[2,16,"t","(6,3,3,2,2)",448448,448448,"exact",448448,448448],[2,16,"t","(6,3,3,2,1,1)",819000,819000,"exact",819000,819000],[2,16,"t","(6,3,3,1,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"t","(6,3,2,2,2,1)",559104,559104,"exact",559104,559104],[2,16,"t","(6,3,2,2,1,1,1)",630630,630630,"exact",630630,630630],[2,16,"t","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[2,16,"t","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[2,16,"t","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[2,16,"t","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[2,16,"t","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[2,16,"t","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[2,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[2,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,16,"t","(5,5,5,1)",60060,60060,"exact",60060,60060],[2,16,"t","(5,5,4,2)",231660,231660,"exact",231660,231660],[2,16,"t","(5,5,4,1,1)",280280,280280,"exact",280280,280280],[2,16,"t","(5,5,3,3)",171600,171600,"exact",171600,171600],[2,16,"t","(5,5,3,2,1)",640640,640640,"exact",640640,640640],[2,16,"t","(5,5,3,1,1,1)",448448,448448,"exact",448448,448448],[2,16,"t","(5,5,2,2,2)",250250,250250,"exact",250250,250250],[2,16,"t","(5,5,2,2,1,1)",480480,480480,"exact",480480,480480],[2,16,"t","(5,5,2,1,1,1,1)",305760,305760,"exact",305760,305760],[2,16,"t","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[2,16,"t","(5,4,4,3)",180180,180180,"exact",180180,180180],[2,16,"t","(5,4,4,2,1)",549120,549120,"exact",549120,549120],[2,16,"t","(5,4,4,1,1,1)",360360,360360,"exact",360360,360360],[2,16,"t","(5,4,3,3,1)",549120,549120,"exact",549120,549120],[2,16,"t","(5,4,3,2,2)",640640,640640,"exact",640640,640640],[2,16,"t","(5,4,3,2,1,1)",1153152,1153152,"exact",1153152,1153152],[2,16,"t","(5,4,3,1,1,1,1)",582400,582400,"exact",582400,582400],[2,16,"t","(5,4,2,2,2,1)",630630,630630,"exact",630630,630630],[2,16,"t","(5,4,2,2,1,1,1)",698880,698880,"exact",698880,698880],[2,16,"t","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[2,16,"t","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[2,16,"t","(5,3,3,3,2)",280280,280280,"exact",280280,280280],[2,16,"t","(5,3,3,3,1,1)",411840,411840,"exact",411840,411840],[2,16,"t","(5,3,3,2,2,1)",648648,648648,"exact",648648,648648],[2,16,"t","(5,3,3,2,1,1,1)",673920,673920,"exact",673920,673920],[2,16,"t","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[2,16,"t","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[2,16,"t","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[2,16,"t","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"t","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[2,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[2,16,"t","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[2,16,"t","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[2,16,"t","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[2,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[2,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[2,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,16,"t","(4,4,4,4)",24024,24024,"exact",24024,24024],[2,16,"t","(4,4,4,3,1)",180180,180180,"exact",180180,180180],[2,16,"t","(4,4,4,2,2)",171600,171600,"exact",171600,171600],[2,16,"t","(4,4,4,2,1,1)",300300,300300,"exact",300300,300300],[2,16,"t","(4,4,4,1,1,1,1)",140140,140140,"exact",140140,140140],[2,16,"t","(4,4,3,3,2)",231660,231660,"exact",231660,231660],[2,16,"t","(4,4,3,3,1,1)",336336,336336,"exact",336336,336336],[2,16,"t","(4,4,3,2,2,1)",500500,500500,"exact",500500,500500],[2,16,"t","(4,4,3,2,1,1,1)",512512,512512,"exact",512512,512512],[2,16,"t","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[2,16,"t","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[2,16,"t","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[2,16,"t","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[2,16,"t","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[2,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[2,16,"t","(4,3,3,3,3)",60060,60060,"exact",60060,60060],[2,16,"t","(4,3,3,3,2,1)",292864,292864,"exact",292864,292864],[2,16,"t","(4,3,3,3,1,1,1)",240240,240240,"exact",240240,240240],[2,16,"t","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[2,16,"t","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[2,16,"t","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[2,16,"t","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[2,16,"t","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[2,16,"t","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[2,16,"t","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[2,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[2,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[2,16,"t","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[2,16,"t","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[2,16,"t","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[2,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[2,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[2,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[2,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[2,16,"t","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[2,16,"t","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[2,16,"t","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[2,16,"t","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[2,16,"t","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[2,16,"t","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[2,16,"t","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[2,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[2,16,"t","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[2,16,"t","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[2,16,"t","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[2,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[2,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[2,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[2,16,"t","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[2,16,"t","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[2,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[2,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[2,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[2,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[2,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[2,16,"t","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[2,16,"t","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[2,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[2,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[2,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[2,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[2,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[2,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[2,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,16,"t","(15,1)",15,1,"lower bound",1,14],[2,16,"t","(14,2)",104,78,"lower bound",78,103],[2,16,"t","(14,1,1)",105,78,"lower bound",78,104],[2,16,"t","(13,3)",440,407,"lower bound",407,439],[2,16,"t","(13,2,1)",896,846,"lower bound",846,895],[2,16,"t","(12,4)",1260,1224,"lower bound",1224,1259],[2,16,"t","(8,8)",1430,1422,"lower bound",1422,1429],[2,16,"t","(11,5)",2548,2486,"lower bound",2486,2547],[2,16,"t","(12,2,2)",2640,2607,"lower bound",2607,2639],[2,16,"t","(9,7)",3432,3355,"lower bound",3355,3431],[2,16,"t","(10,6)",3640,3547,"lower bound",3547,3639],[2,16,"t","(12,3,1)",3900,3658,"lower bound",3658,3899],[2,16,"t","(11,4,1)",10752,10132,"lower bound",10132,10751],[2,16,"t","(11,3,2)",13860,13241,"lower bound",13241,13859],[2,16,"t","(8,7,1)",18018,17189,"lower bound",17189,18017],[2,16,"t","(10,3,3)",21840,20838,"lower bound",20838,21840],[2,16,"t","(10,4,2)",38220,36230,"lower bound",36230,38220],[2,16,"t","(10,5,1)",20020,18905,"lower bound",18905,20020],[2,16,"t","(6,5,5)",36036,35282,"lower bound",35282,36036],[2,16,"t","(6,6,4)",51480,50302,"lower bound",50302,51480],[2,16,"t","(7,5,4)",100100,97536,"lower bound",97536,100100],[2,16,"t","(7,6,3)",91520,88819,"lower bound",88819,91520],[2,16,"t","(7,7,2)",30030,28912,"lower bound",28912,30030],[2,16,"t","(8,4,4)",60060,58127,"lower bound",58127,60060],[2,16,"t","(8,5,3)",112112,108171,"lower bound",108171,112112],[2,16,"t","(8,6,2)",68640,65803,"lower bound",65803,68640],[2,16,"t","(9,4,3)",69888,66873,"lower bound",66873,69888],[2,16,"t","(9,5,2)",65520,62342,"lower bound",62342,65520],[2,16,"t","(9,6,1)",24960,23652,"lower bound",23652,24960],[2,17,"t","(17)",1,0,"exact",0,0],[2,17,"t","(14,1,1,1)",560,560,"exact",560,560],[2,17,"t","(13,2,1,1)",5355,5355,"exact",5355,5355],[2,17,"t","(13,1,1,1,1)",1820,1820,"exact",1820,1820],[2,17,"t","(12,3,1,1)",24752,24752,"exact",24752,24752],[2,17,"t","(12,2,2,1)",20944,20944,"exact",20944,20944],[2,17,"t","(12,2,1,1,1)",17017,17017,"exact",17017,17017],[2,17,"t","(12,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,17,"t","(11,4,1,1)",70720,70720,"exact",70720,70720],[2,17,"t","(11,3,2,1)",116688,116688,"exact",116688,116688],[2,17,"t","(11,3,1,1,1)",74256,74256,"exact",74256,74256],[2,17,"t","(11,2,2,2)",37400,37400,"exact",37400,37400],[2,17,"t","(11,2,2,1,1)",68068,68068,"exact",68068,68068],[2,17,"t","(11,2,1,1,1,1)",38675,38675,"exact",38675,38675],[2,17,"t","(11,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[2,17,"t","(10,5,1,1)",134640,134640,"exact",134640,134640],[2,17,"t","(10,4,2,1)",333200,333200,"exact",333200,333200],[2,17,"t","(10,4,1,1,1)",194480,194480,"exact",194480,194480],[2,17,"t","(10,3,3,1)",205632,205632,"exact",205632,205632],[2,17,"t","(10,3,2,2)",209440,209440,"exact",209440,209440],[2,17,"t","(10,3,2,1,1)",353600,353600,"exact",353600,353600],[2,17,"t","(10,3,1,1,1,1)",155584,155584,"exact",155584,155584],[2,17,"t","(10,2,2,2,1)",145860,145860,"exact",145860,145860],[2,17,"t","(10,2,2,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"t","(10,2,1,1,1,1,1)",65637,65637,"exact",65637,65637],[2,17,"t","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[2,17,"t","(9,6,1,1)",170170,170170,"exact",170170,170170],[2,17,"t","(9,5,2,1)",583440,583440,"exact",583440,583440],[2,17,"t","(9,5,1,1,1)",327250,327250,"exact",327250,327250],[2,17,"t","(9,4,3,1)",680680,680680,"exact",680680,680680],[2,17,"t","(9,4,2,2)",556920,556920,"exact",556920,556920],[2,17,"t","(9,4,2,1,1)",908820,908820,"exact",908820,908820],[2,17,"t","(9,4,1,1,1,1)",364650,364650,"exact",364650,364650],[2,17,"t","(9,3,3,2)",433160,433160,"exact",433160,433160],[2,17,"t","(9,3,3,1,1)",586432,586432,"exact",586432,586432],[2,17,"t","(9,3,2,2,1)",749700,749700,"exact",749700,749700],[2,17,"t","(9,3,2,1,1,1)",700128,700128,"exact",700128,700128],[2,17,"t","(9,3,1,1,1,1,1)",238238,238238,"exact",238238,238238],[2,17,"t","(9,2,2,2,2)",157080,157080,"exact",157080,157080],[2,17,"t","(9,2,2,2,1,1)",318240,318240,"exact",318240,318240],[2,17,"t","(9,2,2,1,1,1,1)",233376,233376,"exact",233376,233376],[2,17,"t","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[2,17,"t","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[2,17,"t","(8,7,1,1)",123760,123760,"exact",123760,123760],[2,17,"t","(8,6,2,1)",618800,618800,"exact",618800,618800],[2,17,"t","(8,6,1,1,1)",340340,340340,"exact",340340,340340],[2,17,"t","(8,5,3,1)",1113840,1113840,"exact",1113840,1113840],[2,17,"t","(8,5,2,2)",848640,848640,"exact",848640,848640],[2,17,"t","(8,5,2,1,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(8,5,1,1,1,1)",523600,523600,"exact",523600,523600],[2,17,"t","(8,4,4,1)",618800,618800,"exact",618800,618800],[2,17,"t","(8,4,3,2)",1299480,1299480,"exact",1299480,1299480],[2,17,"t","(8,4,3,1,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"t","(8,4,2,2,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"t","(8,4,2,1,1,1)",1570800,1570800,"exact",1570800,1570800],[2,17,"t","(8,4,1,1,1,1,1)",486200,486200,"exact",486200,486200],[2,17,"t","(8,3,3,3)",346528,346528,"exact",346528,346528],[2,17,"t","(8,3,3,2,1)",1429428,1429428,"exact",1429428,1429428],[2,17,"t","(8,3,3,1,1,1)",1047200,1047200,"exact",1047200,1047200],[2,17,"t","(8,3,2,2,2)",742560,742560,"exact",742560,742560],[2,17,"t","(8,3,2,2,1,1)",1454112,1454112,"exact",1454112,1454112],[2,17,"t","(8,3,2,1,1,1,1)",972400,972400,"exact",972400,972400],[2,17,"t","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"t","(8,2,2,2,2,1)",399840,399840,"exact",399840,399840],[2,17,"t","(8,2,2,2,1,1,1)",466752,466752,"exact",466752,466752],[2,17,"t","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"t","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[2,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[2,17,"t","(7,7,2,1)",272272,272272,"exact",272272,272272],[2,17,"t","(7,7,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"t","(7,6,3,1)",918918,918918,"exact",918918,918918],[2,17,"t","(7,6,2,2)",680680,680680,"exact",680680,680680],[2,17,"t","(7,6,2,1,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"t","(7,6,1,1,1,1)",408408,408408,"exact",408408,408408],[2,17,"t","(7,5,4,1)",1050192,1050192,"exact",1050192,1050192],[2,17,"t","(7,5,3,2)",1750320,1750320,"exact",1750320,1750320],[2,17,"t","(7,5,3,1,1)",2255526,2255526,"exact",2255526,2255526],[2,17,"t","(7,5,2,2,1)",2165800,2165800,"exact",2165800,2165800],[2,17,"t","(7,5,2,1,1,1)",1905904,1905904,"exact",1905904,1905904],[2,17,"t","(7,5,1,1,1,1,1)",565488,565488,"exact",565488,565488],[2,17,"t","(7,4,4,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"t","(7,4,4,1,1)",1326000,1326000,"exact",1326000,1326000],[2,17,"t","(7,4,3,3)",952952,952952,"exact",952952,952952],[2,17,"t","(7,4,3,2,1)",3620864,3620864,"exact",3620864,3620864],[2,17,"t","(7,4,3,1,1,1)",2552550,2552550,"exact",2552550,2552550],[2,17,"t","(7,4,2,2,2)",1485120,1485120,"exact",1485120,1485120],[2,17,"t","(7,4,2,2,1,1)",2858856,2858856,"exact",2858856,2858856],[2,17,"t","(7,4,2,1,1,1,1)",1832600,1832600,"exact",1832600,1832600],[2,17,"t","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[2,17,"t","(7,3,3,3,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"t","(7,3,3,2,2)",1336608,1336608,"exact",1336608,1336608],[2,17,"t","(7,3,3,2,1,1)",2431000,2431000,"exact",2431000,2431000],[2,17,"t","(7,3,3,1,1,1,1)",1262250,1262250,"exact",1262250,1262250],[2,17,"t","(7,3,2,2,2,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"t","(7,3,2,2,1,1,1)",1832600,1832600,"exact",1832600,1832600],[2,17,"t","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[2,17,"t","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[2,17,"t","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[2,17,"t","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[2,17,"t","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[2,17,"t","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[2,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[2,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[2,17,"t","(6,6,4,1)",544544,544544,"exact",544544,544544],[2,17,"t","(6,6,3,2)",850850,850850,"exact",850850,850850],[2,17,"t","(6,6,3,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"t","(6,6,2,2,1)",1021020,1021020,"exact",1021020,1021020],[2,17,"t","(6,6,2,1,1,1)",891072,891072,"exact",891072,891072],[2,17,"t","(6,6,1,1,1,1,1)",259896,259896,"exact",259896,259896],[2,17,"t","(6,5,5,1)",388960,388960,"exact",388960,388960],[2,17,"t","(6,5,4,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(6,5,4,1,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"t","(6,5,3,3)",972400,972400,"exact",972400,972400],[2,17,"t","(6,5,3,2,1)",3573570,3573570,"exact",3573570,3573570],[2,17,"t","(6,5,3,1,1,1)",2475200,2475200,"exact",2475200,2475200],[2,17,"t","(6,5,2,2,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(6,5,2,2,1,1)",2598960,2598960,"exact",2598960,2598960],[2,17,"t","(6,5,2,1,1,1,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"t","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[2,17,"t","(6,4,4,3)",816816,816816,"exact",816816,816816],[2,17,"t","(6,4,4,2,1)",2450448,2450448,"exact",2450448,2450448],[2,17,"t","(6,4,4,1,1,1)",1591200,1591200,"exact",1591200,1591200],[2,17,"t","(6,4,3,3,1)",2362932,2362932,"exact",2362932,2362932],[2,17,"t","(6,4,3,2,2)",2722720,2722720,"exact",2722720,2722720],[2,17,"t","(6,4,3,2,1,1)",4873050,4873050,"exact",4873050,4873050],[2,17,"t","(6,4,3,1,1,1,1)",2431000,2431000,"exact",2431000,2431000],[2,17,"t","(6,4,2,2,2,1)",2598960,2598960,"exact",2598960,2598960],[2,17,"t","(6,4,2,2,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,17,"t","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[2,17,"t","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[2,17,"t","(6,3,3,3,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"t","(6,3,3,3,1,1)",1591200,1591200,"exact",1591200,1591200],[2,17,"t","(6,3,3,2,2,1)",2475200,2475200,"exact",2475200,2475200],[2,17,"t","(6,3,3,2,1,1,1)",2552550,2552550,"exact",2552550,2552550],[2,17,"t","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[2,17,"t","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[2,17,"t","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[2,17,"t","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[2,17,"t","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[2,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"t","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[2,17,"t","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[2,17,"t","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[2,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[2,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[2,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,17,"t","(5,5,5,2)",291720,291720,"exact",291720,291720],[2,17,"t","(5,5,5,1,1)",340340,340340,"exact",340340,340340],[2,17,"t","(5,5,4,3)",583440,583440,"exact",583440,583440],[2,17,"t","(5,5,4,2,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"t","(5,5,4,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"t","(5,5,3,3,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(5,5,3,2,2)",1531530,1531530,"exact",1531530,1531530],[2,17,"t","(5,5,3,2,1,1)",2722720,2722720,"exact",2722720,2722720],[2,17,"t","(5,5,3,1,1,1,1)",1336608,1336608,"exact",1336608,1336608],[2,17,"t","(5,5,2,2,2,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(5,5,2,2,1,1,1)",1485120,1485120,"exact",1485120,1485120],[2,17,"t","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[2,17,"t","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[2,17,"t","(5,4,4,4)",204204,204204,"exact",204204,204204],[2,17,"t","(5,4,4,3,1)",1458600,1458600,"exact",1458600,1458600],[2,17,"t","(5,4,4,2,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(5,4,4,2,1,1)",2362932,2362932,"exact",2362932,2362932],[2,17,"t","(5,4,4,1,1,1,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"t","(5,4,3,3,2)",1701700,1701700,"exact",1701700,1701700],[2,17,"t","(5,4,3,3,1,1)",2450448,2450448,"exact",2450448,2450448],[2,17,"t","(5,4,3,2,2,1)",3573570,3573570,"exact",3573570,3573570],[2,17,"t","(5,4,3,2,1,1,1)",3620864,3620864,"exact",3620864,3620864],[2,17,"t","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,17,"t","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[2,17,"t","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[2,17,"t","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"t","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[2,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[2,17,"t","(5,3,3,3,3)",340340,340340,"exact",340340,340340],[2,17,"t","(5,3,3,3,2,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"t","(5,3,3,3,1,1,1)",1326000,1326000,"exact",1326000,1326000],[2,17,"t","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"t","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[2,17,"t","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"t","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[2,17,"t","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"t","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[2,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[2,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[2,17,"t","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[2,17,"t","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[2,17,"t","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[2,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[2,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[2,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[2,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[2,17,"t","(4,4,4,4,1)",204204,204204,"exact",204204,204204],[2,17,"t","(4,4,4,3,2)",583440,583440,"exact",583440,583440],[2,17,"t","(4,4,4,3,1,1)",816816,816816,"exact",816816,816816],[2,17,"t","(4,4,4,2,2,1)",972400,972400,"exact",972400,972400],[2,17,"t","(4,4,4,2,1,1,1)",952952,952952,"exact",952952,952952],[2,17,"t","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[2,17,"t","(4,4,3,3,3)",291720,291720,"exact",291720,291720],[2,17,"t","(4,4,3,3,2,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"t","(4,4,3,3,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"t","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[2,17,"t","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"t","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[2,17,"t","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[2,17,"t","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[2,17,"t","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[2,17,"t","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[2,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[2,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[2,17,"t","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[2,17,"t","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[2,17,"t","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[2,17,"t","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[2,17,"t","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[2,17,"t","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[2,17,"t","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[2,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[2,17,"t","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[2,17,"t","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[2,17,"t","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[2,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[2,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[2,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[2,17,"t","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[2,17,"t","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[2,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[2,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[2,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[2,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[2,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[2,17,"t","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[2,17,"t","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[2,17,"t","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[2,17,"t","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"t","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[2,17,"t","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[2,17,"t","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[2,17,"t","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[2,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[2,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[2,17,"t","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[2,17,"t","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[2,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[2,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[2,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[2,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[2,17,"t","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[2,17,"t","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[2,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[2,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[2,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[2,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[2,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[2,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[2,17,"t","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[2,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[2,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[2,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[2,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[2,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[2,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[2,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,17,"t","(16,1)",16,1,"lower bound",1,15],[2,17,"t","(15,2)",119,79,"lower bound",79,118],[2,17,"t","(15,1,1)",120,79,"lower bound",79,119],[2,17,"t","(14,3)",544,485,"lower bound",485,543],[2,17,"t","(14,2,1)",1105,1002,"lower bound",1002,1104],[2,17,"t","(13,4)",1700,1631,"lower bound",1631,1699],[2,17,"t","(13,2,2)",3536,3453,"lower bound",3453,3535],[2,17,"t","(12,5)",3808,3710,"lower bound",3710,3807],[2,17,"t","(9,8)",4862,4777,"lower bound",4777,4861],[2,17,"t","(13,3,1)",5236,4911,"lower bound",4911,5235],[2,17,"t","(11,6)",6188,6033,"lower bound",6033,6187],[2,17,"t","(10,7)",7072,6902,"lower bound",6902,7071],[2,17,"t","(12,4,1)",15912,15014,"lower bound",15014,15911],[2,17,"t","(8,8,1)",19448,18611,"lower bound",18611,19447],[2,17,"t","(10,4,3)",129948,123941,"lower bound",123941,129948],[2,17,"t","(10,5,2)",123760,117477,"lower bound",117477,123760],[2,17,"t","(10,6,1)",48620,46104,"lower bound",46104,48620],[2,17,"t","(11,3,3)",35700,34079,"lower bound",34079,35700],[2,17,"t","(11,4,2)",62832,59603,"lower bound",59603,62832],[2,17,"t","(11,5,1)",33320,31523,"lower bound",31523,33320],[2,17,"t","(12,3,2)",20400,19506,"lower bound",19506,20400],[2,17,"t","(6,6,5)",87516,85584,"lower bound",85584,87516],[2,17,"t","(7,5,5)",136136,132818,"lower bound",132818,136136],[2,17,"t","(7,6,4)",243100,236657,"lower bound",236657,243100],[2,17,"t","(7,7,3)",121550,117731,"lower bound",117731,121550],[2,17,"t","(8,5,4)",272272,263834,"lower bound",263834,272272],[2,17,"t","(8,6,3)",272272,262793,"lower bound",262793,272272],[2,17,"t","(8,7,2)",116688,111904,"lower bound",111904,116688],[2,17,"t","(9,4,4)",129948,125000,"lower bound",125000,129948],[2,17,"t","(9,5,3)",247520,237386,"lower bound",237386,247520],[2,17,"t","(9,6,2)",159120,151797,"lower bound",151797,159120],[2,17,"t","(9,7,1)",46410,44196,"lower bound",44196,46410],[2,18,"t","(18)",1,0,"exact",0,0],[2,18,"t","(15,1,1,1)",680,680,"exact",680,680],[2,18,"t","(14,2,1,1)",7020,7020,"exact",7020,7020],[2,18,"t","(14,1,1,1,1)",2380,2380,"exact",2380,2380],[2,18,"t","(13,3,1,1)",35343,35343,"exact",35343,35343],[2,18,"t","(13,2,2,1)",29835,29835,"exact",29835,29835],[2,18,"t","(13,2,1,1,1)",24192,24192,"exact",24192,24192],[2,18,"t","(13,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,18,"t","(12,4,1,1)",111384,111384,"exact",111384,111384],[2,18,"t","(12,3,2,1)",182784,182784,"exact",182784,182784],[2,18,"t","(12,3,1,1,1)",116025,116025,"exact",116025,116025],[2,18,"t","(12,2,2,2)",58344,58344,"exact",58344,58344],[2,18,"t","(12,2,2,1,1)",106029,106029,"exact",106029,106029],[2,18,"t","(12,2,1,1,1,1)",60060,60060,"exact",60060,60060],[2,18,"t","(12,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[2,18,"t","(11,5,1,1)",238680,238680,"exact",238680,238680],[2,18,"t","(11,4,2,1)",583440,583440,"exact",583440,583440],[2,18,"t","(11,4,1,1,1)",339456,339456,"exact",339456,339456],[2,18,"t","(11,3,3,1)",358020,358020,"exact",358020,358020],[2,18,"t","(11,3,2,2)",363528,363528,"exact",363528,363528],[2,18,"t","(11,3,2,1,1)",612612,612612,"exact",612612,612612],[2,18,"t","(11,3,1,1,1,1)",268515,268515,"exact",268515,268515],[2,18,"t","(11,2,2,2,1)",251328,251328,"exact",251328,251328],[2,18,"t","(11,2,2,1,1,1)",255255,255255,"exact",255255,255255],[2,18,"t","(11,2,1,1,1,1,1)",112320,112320,"exact",112320,112320],[2,18,"t","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[2,18,"t","(10,6,1,1)",353430,353430,"exact",353430,353430],[2,18,"t","(10,5,2,1)",1175040,1175040,"exact",1175040,1175040],[2,18,"t","(10,5,1,1,1)",656370,656370,"exact",656370,656370],[2,18,"t","(10,4,3,1)",1349460,1349460,"exact",1349460,1349460],[2,18,"t","(10,4,2,2)",1099560,1099560,"exact",1099560,1099560],[2,18,"t","(10,4,2,1,1)",1790100,1790100,"exact",1790100,1790100],[2,18,"t","(10,4,1,1,1,1)",714714,714714,"exact",714714,714714],[2,18,"t","(10,3,3,2)",848232,848232,"exact",848232,848232],[2,18,"t","(10,3,3,1,1)",1145664,1145664,"exact",1145664,1145664],[2,18,"t","(10,3,2,2,1)",1458600,1458600,"exact",1458600,1458600],[2,18,"t","(10,3,2,1,1,1)",1357824,1357824,"exact",1357824,1357824],[2,18,"t","(10,3,1,1,1,1,1)",459459,459459,"exact",459459,459459],[2,18,"t","(10,2,2,2,2)",302940,302940,"exact",302940,302940],[2,18,"t","(10,2,2,2,1,1)",612612,612612,"exact",612612,612612],[2,18,"t","(10,2,2,1,1,1,1)",447525,447525,"exact",447525,447525],[2,18,"t","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[2,18,"t","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[2,18,"t","(9,7,1,1)",340340,340340,"exact",340340,340340],[2,18,"t","(9,6,2,1)",1531530,1531530,"exact",1531530,1531530],[2,18,"t","(9,6,1,1,1)",837760,837760,"exact",837760,837760],[2,18,"t","(9,5,3,1)",2625480,2625480,"exact",2625480,2625480],[2,18,"t","(9,5,2,2)",1989000,1989000,"exact",1989000,1989000],[2,18,"t","(9,5,2,1,1)",3180870,3180870,"exact",3180870,3180870],[2,18,"t","(9,5,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[2,18,"t","(9,4,4,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"t","(9,4,3,2)",2970240,2970240,"exact",2970240,2970240],[2,18,"t","(9,4,3,1,1)",3877632,3877632,"exact",3877632,3877632],[2,18,"t","(9,4,2,2,1)",3965760,3965760,"exact",3965760,3965760],[2,18,"t","(9,4,2,1,1,1)",3544398,3544398,"exact",3544398,3544398],[2,18,"t","(9,4,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,18,"t","(9,3,3,3)",779688,779688,"exact",779688,779688],[2,18,"t","(9,3,3,2,1)",3198720,3198720,"exact",3198720,3198720],[2,18,"t","(9,3,3,1,1,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"t","(9,3,2,2,2)",1649340,1649340,"exact",1649340,1649340],[2,18,"t","(9,3,2,2,1,1)",3222180,3222180,"exact",3222180,3222180],[2,18,"t","(9,3,2,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[2,18,"t","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[2,18,"t","(9,2,2,2,2,1)",875160,875160,"exact",875160,875160],[2,18,"t","(9,2,2,2,1,1,1)",1018368,1018368,"exact",1018368,1018368],[2,18,"t","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[2,18,"t","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[2,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[2,18,"t","(8,8,1,1)",143208,143208,"exact",143208,143208],[2,18,"t","(8,7,2,1)",1131520,1131520,"exact",1131520,1131520],[2,18,"t","(8,7,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"t","(8,6,3,1)",2923830,2923830,"exact",2923830,2923830],[2,18,"t","(8,6,2,2)",2148120,2148120,"exact",2148120,2148120],[2,18,"t","(8,6,2,1,1)",3403400,3403400,"exact",3403400,3403400],[2,18,"t","(8,6,1,1,1,1)",1272348,1272348,"exact",1272348,1272348],[2,18,"t","(8,5,4,1)",3055104,3055104,"exact",3055104,3055104],[2,18,"t","(8,5,3,2)",5012280,5012280,"exact",5012280,5012280],[2,18,"t","(8,5,3,1,1)",6432426,6432426,"exact",6432426,6432426],[2,18,"t","(8,5,2,2,1)",6126120,6126120,"exact",6126120,6126120],[2,18,"t","(8,5,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[2,18,"t","(8,5,1,1,1,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"t","(8,4,4,2)",3007368,3007368,"exact",3007368,3007368],[2,18,"t","(8,4,4,1,1)",3646500,3646500,"exact",3646500,3646500],[2,18,"t","(8,4,3,3)",2598960,2598960,"exact",2598960,2598960],[2,18,"t","(8,4,3,2,1)",9801792,9801792,"exact",9801792,9801792],[2,18,"t","(8,4,3,1,1,1)",6872250,6872250,"exact",6872250,6872250],[2,18,"t","(8,4,2,2,2)",3978000,3978000,"exact",3978000,3978000],[2,18,"t","(8,4,2,2,1,1)",7634088,7634088,"exact",7634088,7634088],[2,18,"t","(8,4,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[2,18,"t","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[2,18,"t","(8,3,3,3,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"t","(8,3,3,2,2)",3508596,3508596,"exact",3508596,3508596],[2,18,"t","(8,3,3,2,1,1)",6361740,6361740,"exact",6361740,6361740],[2,18,"t","(8,3,3,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[2,18,"t","(8,3,2,2,2,1)",4230144,4230144,"exact",4230144,4230144],[2,18,"t","(8,3,2,2,1,1,1)",4725864,4725864,"exact",4725864,4725864],[2,18,"t","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[2,18,"t","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[2,18,"t","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[2,18,"t","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[2,18,"t","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[2,18,"t","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[2,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[2,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[2,18,"t","(7,7,3,1)",1312740,1312740,"exact",1312740,1312740],[2,18,"t","(7,7,2,2)",952952,952952,"exact",952952,952952],[2,18,"t","(7,7,2,1,1)",1503684,1503684,"exact",1503684,1503684],[2,18,"t","(7,7,1,1,1,1)",556920,556920,"exact",556920,556920],[2,18,"t","(7,6,4,1)",2756754,2756754,"exact",2756754,2756754],[2,18,"t","(7,6,3,2)",4200768,4200768,"exact",4200768,4200768],[2,18,"t","(7,6,3,1,1)",5346432,5346432,"exact",5346432,5346432],[2,18,"t","(7,6,2,2,1)",4950400,4950400,"exact",4950400,4950400],[2,18,"t","(7,6,2,1,1,1)",4288284,4288284,"exact",4288284,4288284],[2,18,"t","(7,6,1,1,1,1,1)",1233792,1233792,"exact",1233792,1233792],[2,18,"t","(7,5,5,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"t","(7,5,4,2)",5250960,5250960,"exact",5250960,5250960],[2,18,"t","(7,5,4,1,1)",6265350,6265350,"exact",6265350,6265350],[2,18,"t","(7,5,3,3)",3675672,3675672,"exact",3675672,3675672],[2,18,"t","(7,5,3,2,1)",13366080,13366080,"exact",13366080,13366080],[2,18,"t","(7,5,3,1,1,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"t","(7,5,2,2,2)",5012280,5012280,"exact",5012280,5012280],[2,18,"t","(7,5,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[2,18,"t","(7,5,2,1,1,1,1)",5937624,5937624,"exact",5937624,5937624],[2,18,"t","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[2,18,"t","(7,4,4,3)",2858856,2858856,"exact",2858856,2858856],[2,18,"t","(7,4,4,2,1)",8486400,8486400,"exact",8486400,8486400],[2,18,"t","(7,4,4,1,1,1)",5469750,5469750,"exact",5469750,5469750],[2,18,"t","(7,4,3,3,1)",8019648,8019648,"exact",8019648,8019648],[2,18,"t","(7,4,3,2,2)",9165312,9165312,"exact",9165312,9165312],[2,18,"t","(7,4,3,2,1,1)",16336320,16336320,"exact",16336320,16336320],[2,18,"t","(7,4,3,1,1,1,1)",8078400,8078400,"exact",8078400,8078400],[2,18,"t","(7,4,2,2,2,1)",8576568,8576568,"exact",8576568,8576568],[2,18,"t","(7,4,2,2,1,1,1)",9382912,9382912,"exact",9382912,9382912],[2,18,"t","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[2,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[2,18,"t","(7,3,3,3,2)",3508596,3508596,"exact",3508596,3508596],[2,18,"t","(7,3,3,3,1,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"t","(7,3,3,2,2,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"t","(7,3,3,2,1,1,1)",8078400,8078400,"exact",8078400,8078400],[2,18,"t","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[2,18,"t","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[2,18,"t","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[2,18,"t","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[2,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[2,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[2,18,"t","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[2,18,"t","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[2,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[2,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[2,18,"t","(6,6,5,1)",1021020,1021020,"exact",1021020,1021020],[2,18,"t","(6,6,4,2)",2756754,2756754,"exact",2756754,2756754],[2,18,"t","(6,6,4,1,1)",3267264,3267264,"exact",3267264,3267264],[2,18,"t","(6,6,3,3)",1823250,1823250,"exact",1823250,1823250],[2,18,"t","(6,6,3,2,1)",6534528,6534528,"exact",6534528,6534528],[2,18,"t","(6,6,3,1,1,1)",4455360,4455360,"exact",4455360,4455360],[2,18,"t","(6,6,2,2,2)",2382380,2382380,"exact",2382380,2382380],[2,18,"t","(6,6,2,2,1,1)",4511052,4511052,"exact",4511052,4511052],[2,18,"t","(6,6,2,1,1,1,1)",2784600,2784600,"exact",2784600,2784600],[2,18,"t","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[2,18,"t","(6,5,5,2)",2042040,2042040,"exact",2042040,2042040],[2,18,"t","(6,5,5,1,1)",2362932,2362932,"exact",2362932,2362932],[2,18,"t","(6,5,4,3)",3734016,3734016,"exact",3734016,3734016],[2,18,"t","(6,5,4,2,1)",10720710,10720710,"exact",10720710,10720710],[2,18,"t","(6,5,4,1,1,1)",6789120,6789120,"exact",6789120,6789120],[2,18,"t","(6,5,3,3,1)",8270262,8270262,"exact",8270262,8270262],[2,18,"t","(6,5,3,2,2)",9189180,9189180,"exact",9189180,9189180],[2,18,"t","(6,5,3,2,1,1)",16243500,16243500,"exact",16243500,16243500],[2,18,"t","(6,5,3,1,1,1,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"t","(6,5,2,2,2,1)",7920640,7920640,"exact",7920640,7920640],[2,18,"t","(6,5,2,2,1,1,1)",8576568,8576568,"exact",8576568,8576568],[2,18,"t","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[2,18,"t","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[2,18,"t","(6,4,4,4)",1021020,1021020,"exact",1021020,1021020],[2,18,"t","(6,4,4,3,1)",7088796,7088796,"exact",7088796,7088796],[2,18,"t","(6,4,4,2,2)",6534528,6534528,"exact",6534528,6534528],[2,18,"t","(6,4,4,2,1,1)",11277630,11277630,"exact",11277630,11277630],[2,18,"t","(6,4,4,1,1,1,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"t","(6,4,3,3,2)",7876440,7876440,"exact",7876440,7876440],[2,18,"t","(6,4,3,3,1,1)",11277630,11277630,"exact",11277630,11277630],[2,18,"t","(6,4,3,2,2,1)",16243500,16243500,"exact",16243500,16243500],[2,18,"t","(6,4,3,2,1,1,1)",16336320,16336320,"exact",16336320,16336320],[2,18,"t","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[2,18,"t","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[2,18,"t","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[2,18,"t","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[2,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[2,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"t","(6,3,3,3,3)",1429428,1429428,"exact",1429428,1429428],[2,18,"t","(6,3,3,3,2,1)",6789120,6789120,"exact",6789120,6789120],[2,18,"t","(6,3,3,3,1,1,1)",5469750,5469750,"exact",5469750,5469750],[2,18,"t","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[2,18,"t","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"t","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[2,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"t","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[2,18,"t","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[2,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[2,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[2,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[2,18,"t","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[2,18,"t","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[2,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[2,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[2,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[2,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[2,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,18,"t","(5,5,5,3)",875160,875160,"exact",875160,875160],[2,18,"t","(5,5,5,2,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"t","(5,5,5,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"t","(5,5,4,4)",787644,787644,"exact",787644,787644],[2,18,"t","(5,5,4,3,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"t","(5,5,4,2,2)",4594590,4594590,"exact",4594590,4594590],[2,18,"t","(5,5,4,2,1,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"t","(5,5,4,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[2,18,"t","(5,5,3,3,2)",4594590,4594590,"exact",4594590,4594590],[2,18,"t","(5,5,3,3,1,1)",6534528,6534528,"exact",6534528,6534528],[2,18,"t","(5,5,3,2,2,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"t","(5,5,3,2,1,1,1)",9165312,9165312,"exact",9165312,9165312],[2,18,"t","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[2,18,"t","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[2,18,"t","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[2,18,"t","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[2,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[2,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[2,18,"t","(5,4,4,4,1)",1867008,1867008,"exact",1867008,1867008],[2,18,"t","(5,4,4,3,2)",5105100,5105100,"exact",5105100,5105100],[2,18,"t","(5,4,4,3,1,1)",7088796,7088796,"exact",7088796,7088796],[2,18,"t","(5,4,4,2,2,1)",8270262,8270262,"exact",8270262,8270262],[2,18,"t","(5,4,4,2,1,1,1)",8019648,8019648,"exact",8019648,8019648],[2,18,"t","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"t","(5,4,3,3,3)",2333760,2333760,"exact",2333760,2333760],[2,18,"t","(5,4,3,3,2,1)",10720710,10720710,"exact",10720710,10720710],[2,18,"t","(5,4,3,3,1,1,1)",8486400,8486400,"exact",8486400,8486400],[2,18,"t","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[2,18,"t","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[2,18,"t","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[2,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[2,18,"t","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[2,18,"t","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[2,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[2,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[2,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[2,18,"t","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[2,18,"t","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[2,18,"t","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[2,18,"t","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[2,18,"t","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[2,18,"t","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[2,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[2,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[2,18,"t","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[2,18,"t","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[2,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[2,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[2,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[2,18,"t","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[2,18,"t","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[2,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[2,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[2,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[2,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[2,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[2,18,"t","(4,4,4,4,2)",787644,787644,"exact",787644,787644],[2,18,"t","(4,4,4,4,1,1)",1021020,1021020,"exact",1021020,1021020],[2,18,"t","(4,4,4,3,3)",875160,875160,"exact",875160,875160],[2,18,"t","(4,4,4,3,2,1)",3734016,3734016,"exact",3734016,3734016],[2,18,"t","(4,4,4,3,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"t","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[2,18,"t","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[2,18,"t","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[2,18,"t","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[2,18,"t","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[2,18,"t","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[2,18,"t","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[2,18,"t","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[2,18,"t","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[2,18,"t","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[2,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[2,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[2,18,"t","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[2,18,"t","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[2,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[2,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[2,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[2,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[2,18,"t","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[2,18,"t","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"t","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[2,18,"t","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[2,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"t","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[2,18,"t","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[2,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[2,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[2,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[2,18,"t","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[2,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[2,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[2,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[2,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[2,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[2,18,"t","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[2,18,"t","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[2,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[2,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[2,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[2,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[2,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[2,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[2,18,"t","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[2,18,"t","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[2,18,"t","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[2,18,"t","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[2,18,"t","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[2,18,"t","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[2,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[2,18,"t","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[2,18,"t","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[2,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[2,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[2,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[2,18,"t","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[2,18,"t","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[2,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[2,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[2,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[2,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[2,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[2,18,"t","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[2,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[2,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[2,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[2,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[2,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[2,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[2,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[2,18,"t","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[2,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[2,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[2,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[2,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[2,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[2,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[2,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[2,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[2,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,18,"t","(17,1)",17,1,"lower bound",1,16],[2,18,"t","(16,2)",135,80,"lower bound",80,134],[2,18,"t","(16,1,1)",136,80,"lower bound",80,135],[2,18,"t","(15,3)",663,564,"lower bound",564,662],[2,18,"t","(15,2,1)",1344,1160,"lower bound",1160,1343],[2,18,"t","(14,4)",2244,2116,"lower bound",2116,2243],[2,18,"t","(14,2,2)",4641,4455,"lower bound",4455,4640],[2,18,"t","(9,9)",4862,4777,"lower bound",4777,4861],[2,18,"t","(13,5)",5508,5341,"lower bound",5341,5507],[2,18,"t","(14,3,1)",6885,6398,"lower bound",6398,6884],[2,18,"t","(12,6)",9996,9743,"lower bound",9743,9995],[2,18,"t","(10,8)",11934,11679,"lower bound",11679,11933],[2,18,"t","(11,7)",13260,12935,"lower bound",12935,13259],[2,18,"t","(10,4,4)",259896,248941,"lower bound",248941,259896],[2,18,"t","(10,5,3)",501228,478804,"lower bound",478804,501228],[2,18,"t","(10,6,2)",331500,315378,"lower bound",315378,331500],[2,18,"t","(10,7,1)",102102,97202,"lower bound",97202,102102],[2,18,"t","(11,4,3)",228480,217623,"lower bound",217623,228480],[2,18,"t","(11,5,2)",219912,208603,"lower bound",208603,219912],[2,18,"t","(11,6,1)",88128,83660,"lower bound",83660,88128],[2,18,"t","(12,3,3)",56100,53585,"lower bound",53585,56100],[2,18,"t","(12,4,2)",99144,94123,"lower bound",94123,99144],[2,18,"t","(12,5,1)",53040,50247,"lower bound",50247,53040],[2,18,"t","(13,3,2)",29172,27870,"lower bound",27870,29172],[2,18,"t","(13,4,1)",22848,21556,"lower bound",21556,22848],[2,18,"t","(6,6,6)",87516,85584,"lower bound",85584,87516],[2,18,"t","(7,6,5)",466752,455059,"lower bound",455059,466752],[2,18,"t","(7,7,4)",364650,354388,"lower bound",354388,364650],[2,18,"t","(8,5,5)",408408,396652,"lower bound",396652,408408],[2,18,"t","(8,6,4)",787644,763284,"lower bound",763284,787644],[2,18,"t","(8,7,3)",510510,492428,"lower bound",492428,510510],[2,18,"t","(8,8,2)",136136,130515,"lower bound",130515,136136],[2,18,"t","(9,5,4)",649740,626220,"lower bound",626220,649740],[2,18,"t","(9,6,3)",678912,651976,"lower bound",651976,678912],[2,18,"t","(9,7,2)",322218,307897,"lower bound",307897,322218],[2,18,"t","(9,8,1)",70720,67584,"lower bound",67584,70720],[2,19,"t","(18,1)",18,1,"lower bound",1,17],[2,19,"t","(17,2)",152,81,"lower bound",81,151],[2,19,"t","(17,1,1)",153,81,"lower bound",81,152],[2,19,"t","(16,3)",798,644,"lower bound",644,797],[2,19,"t","(16,2,1)",1615,1320,"lower bound",1320,1614],[2,19,"t","(15,4)",2907,2680,"lower bound",2680,2906],[2,19,"t","(15,2,2)",5985,5615,"lower bound",5615,5984],[2,19,"t","(14,5)",7752,7457,"lower bound",7457,7751],[2,19,"t","(15,3,1)",8892,8122,"lower bound",8122,8891],[2,19,"t","(13,6)",15504,15084,"lower bound",15084,15503],[2,19,"t","(10,9)",16796,16456,"lower bound",16456,16795],[2,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,19,"t","(13,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[2,19,"t","(14,1,1,1,1,1)",8568,8568,"exact",8568,8568],[2,19,"t","(15,1,1,1,1)",3060,3060,"exact",3060,3060],[2,19,"t","(15,2,1,1)",9044,9044,"exact",9044,9044],[2,19,"t","(16,1,1,1)",816,816,"exact",816,816],[2,19,"t","(19)",1,0,"exact",0,0],[2,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[2,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[2,20,"t","(19,1)",19,1,"lower bound",1,18],[2,20,"t","(18,2)",170,82,"lower bound",82,169],[2,20,"t","(18,1,1)",171,82,"lower bound",82,170],[2,20,"t","(17,3)",950,725,"lower bound",725,949],[2,20,"t","(17,2,1)",1920,1482,"lower bound",1482,1919],[2,20,"t","(16,4)",3705,3324,"lower bound",3324,3704],[2,20,"t","(16,2,2)",7600,6935,"lower bound",6935,7599],[2,20,"t","(15,5)",10659,10137,"lower bound",10137,10658],[2,20,"t","(16,3,1)",11305,10086,"lower bound",10086,11304],[2,20,"t","(10,10)",16796,16456,"lower bound",16456,16795],[2,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,20,"t","(15,1,1,1,1,1)",11628,11628,"exact",11628,11628],[2,20,"t","(16,1,1,1,1)",3876,3876,"exact",3876,3876],[2,20,"t","(16,2,1,1)",11475,11475,"exact",11475,11475],[2,20,"t","(17,1,1,1)",969,969,"exact",969,969],[2,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[2,20,"t","(20)",1,0,"exact",0,0],[2,21,"t","(20,1)",20,1,"lower bound",1,19],[2,21,"t","(19,2)",189,83,"lower bound",83,188],[2,21,"t","(19,1,1)",190,83,"lower bound",83,189],[2,21,"t","(18,3)",1120,807,"lower bound",807,1119],[2,21,"t","(18,2,1)",2261,1646,"lower bound",1646,2260],[2,21,"t","(17,4)",4655,4049,"lower bound",4049,4654],[2,21,"t","(17,2,2)",9520,8417,"lower bound",8417,9519],[2,21,"t","(17,3,1)",14175,12293,"lower bound",12293,14174],[2,21,"t","(16,5)",14364,13461,"lower bound",13461,14363],[2,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,21,"t","(16,1,1,1,1,1)",15504,15504,"exact",15504,15504],[2,21,"t","(17,1,1,1,1)",4845,4845,"exact",4845,4845],[2,21,"t","(17,2,1,1)",14364,14364,"exact",14364,14364],[2,21,"t","(18,1,1,1)",1140,1140,"exact",1140,1140],[2,21,"t","(21)",1,0,"exact",0,0],[2,22,"t","(21,1)",21,1,"lower bound",1,20],[2,22,"t","(20,2)",209,84,"lower bound",84,208],[2,22,"t","(20,1,1)",210,84,"lower bound",84,209],[2,22,"t","(19,3)",1309,890,"lower bound",890,1308],[2,22,"t","(19,2,1)",2640,1812,"lower bound",1812,2639],[2,22,"t","(18,4)",5775,4856,"lower bound",4856,5774],[2,22,"t","(18,2,2)",11781,10063,"lower bound",10063,11780],[2,22,"t","(18,3,1)",17556,14746,"lower bound",14746,17555],[2,22,"t","(17,5)",19019,17510,"lower bound",17510,19018],[2,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,22,"t","(18,1,1,1,1)",5985,5985,"exact",5985,5985],[2,22,"t","(18,2,1,1)",17765,17765,"exact",17765,17765],[2,22,"t","(19,1,1,1)",1330,1330,"exact",1330,1330],[2,22,"t","(22)",1,0,"exact",0,0],[2,23,"t","(22,1)",22,1,"lower bound",1,21],[2,23,"t","(21,2)",230,85,"lower bound",85,229],[2,23,"t","(21,1,1)",231,85,"lower bound",85,230],[2,23,"t","(20,3)",1518,974,"lower bound",974,1517],[2,23,"t","(20,2,1)",3059,1980,"lower bound",1980,3058],[2,23,"t","(19,4)",7084,5746,"lower bound",5746,7083],[2,23,"t","(19,2,2)",14421,11875,"lower bound",11875,14420],[2,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,23,"t","(19,1,1,1,1)",7315,7315,"exact",7315,7315],[2,23,"t","(20,1,1,1)",1540,1540,"exact",1540,1540],[2,23,"t","(23)",1,0,"exact",0,0],[2,24,"t","(23,1)",23,1,"lower bound",1,22],[2,24,"t","(22,2)",252,86,"lower bound",86,251],[2,24,"t","(22,1,1)",253,86,"lower bound",86,252],[2,24,"t","(21,3)",1748,1059,"lower bound",1059,1747],[2,24,"t","(21,2,1)",3520,2150,"lower bound",2150,3519],[2,24,"t","(20,4)",8602,6720,"lower bound",6720,8601],[2,24,"t","(20,2,2)",17480,13855,"lower bound",13855,17479],[2,24,"t","(20,1,1,1,1)",8855,8855,"exact",8855,8855],[2,24,"t","(21,1,1,1)",1771,1771,"exact",1771,1771],[2,24,"t","(24)",1,0,"exact",0,0],[2,25,"t","(24,1)",24,1,"lower bound",1,23],[2,25,"t","(23,2)",275,87,"lower bound",87,274],[2,25,"t","(23,1,1)",276,87,"lower bound",87,275],[2,25,"t","(22,3)",2000,1145,"lower bound",1145,1999],[2,25,"t","(22,2,1)",4025,2322,"lower bound",2322,4024],[2,25,"t","(21,4)",10350,7779,"lower bound",7779,10349],[2,25,"t","(21,1,1,1,1)",10626,10626,"exact",10626,10626],[2,25,"t","(22,1,1,1)",2024,2024,"exact",2024,2024],[2,25,"t","(25)",1,0,"exact",0,0],[2,26,"t","(25,1)",25,1,"lower bound",1,24],[2,26,"t","(24,2)",299,88,"lower bound",88,298],[2,26,"t","(24,1,1)",300,88,"lower bound",88,299],[2,26,"t","(23,3)",2275,1232,"lower bound",1232,2274],[2,26,"t","(23,2,1)",4576,2496,"lower bound",2496,4575],[2,26,"t","(22,4)",12350,8924,"lower bound",8924,12349],[2,26,"t","(22,1,1,1,1)",12650,12650,"exact",12650,12650],[2,26,"t","(23,1,1,1)",2300,2300,"exact",2300,2300],[2,26,"t","(26)",1,0,"exact",0,0],[2,27,"t","(26,1)",26,1,"lower bound",1,25],[2,27,"t","(25,2)",324,89,"lower bound",89,323],[2,27,"t","(25,1,1)",325,89,"lower bound",89,324],[2,27,"t","(24,3)",2574,1320,"lower bound",1320,2573],[2,27,"t","(24,2,1)",5175,2672,"lower bound",2672,5174],[2,27,"t","(23,4)",14625,10156,"lower bound",10156,14624],[2,27,"t","(23,1,1,1,1)",14950,14950,"exact",14950,14950],[2,27,"t","(24,1,1,1)",2600,2600,"exact",2600,2600],[2,27,"t","(27)",1,0,"exact",0,0],[2,28,"t","(27,1)",27,1,"lower bound",1,26],[2,28,"t","(26,2)",350,90,"lower bound",90,349],[2,28,"t","(26,1,1)",351,90,"lower bound",90,350],[2,28,"t","(25,3)",2898,1409,"lower bound",1409,2897],[2,28,"t","(25,2,1)",5824,2850,"lower bound",2850,5823],[2,28,"t","(24,4)",17199,11476,"lower bound",11476,17198],[2,28,"t","(24,1,1,1,1)",17550,17550,"exact",17550,17550],[2,28,"t","(25,1,1,1)",2925,2925,"exact",2925,2925],[2,28,"t","(28)",1,0,"exact",0,0],[2,29,"t","(28,1)",28,1,"lower bound",1,27],[2,29,"t","(27,2)",377,91,"lower bound",91,376],[2,29,"t","(27,1,1)",378,91,"lower bound",91,377],[2,29,"t","(26,3)",3248,1499,"lower bound",1499,3247],[2,29,"t","(26,2,1)",6525,3030,"lower bound",3030,6524],[2,29,"t","(26,1,1,1)",3276,3276,"exact",3276,3276],[2,29,"t","(29)",1,0,"exact",0,0],[2,30,"t","(29,1)",29,1,"lower bound",1,28],[2,30,"t","(28,2)",405,92,"lower bound",92,404],[2,30,"t","(28,1,1)",406,92,"lower bound",92,405],[2,30,"t","(27,3)",3625,1590,"lower bound",1590,3624],[2,30,"t","(27,2,1)",7280,3212,"lower bound",3212,7279],[2,30,"t","(27,1,1,1)",3654,3654,"exact",3654,3654],[2,30,"t","(30)",1,0,"exact",0,0],[2,31,"t","(30,1)",30,1,"lower bound",1,29],[2,31,"t","(29,2)",434,93,"lower bound",93,433],[2,31,"t","(29,1,1)",435,93,"lower bound",93,434],[2,31,"t","(28,3)",4030,1682,"lower bound",1682,4029],[2,31,"t","(28,2,1)",8091,3396,"lower bound",3396,8090],[2,31,"t","(28,1,1,1)",4060,4060,"exact",4060,4060],[2,1,"u","(1)",1,0,"exact",0,0],[2,2,"u","(2)",1,0,"exact",0,0],[2,2,"u","(1,1)",1,0,"exact",0,0],[2,3,"u","(3)",1,0,"exact",0,0],[2,3,"u","(2,1)",2,0,"exact",0,0],[2,3,"u","(1,1,1)",1,0,"exact",0,0],[2,4,"u","(4)",1,0,"exact",0,0],[2,4,"u","(3,1)",3,0,"exact",0,0],[2,4,"u","(2,2)",2,1,"exact",1,1],[2,4,"u","(2,1,1)",3,1,"exact",1,1],[2,4,"u","(1,1,1,1)",1,1,"exact",1,1],[2,5,"u","(5)",1,0,"exact",0,0],[2,5,"u","(4,1)",4,0,"exact",0,0],[2,5,"u","(3,2)",5,3,"exact",3,3],[2,5,"u","(3,1,1)",6,3,"exact",3,3],[2,5,"u","(2,2,1)",5,4,"exact",4,4],[2,5,"u","(2,1,1,1)",4,4,"exact",4,4],[2,5,"u","(1,1,1,1,1)",1,1,"exact",1,1],[2,6,"u","(6)",1,0,"exact",0,0],[2,6,"u","(5,1)",5,0,"exact",0,0],[2,6,"u","(4,2)",9,6,"exact",6,6],[2,6,"u","(4,1,1)",10,6,"exact",6,6],[2,6,"u","(3,3)",5,4,"exact",4,4],[2,6,"u","(3,2,1)",16,14,"exact",14,14],[2,6,"u","(3,1,1,1)",10,10,"exact",10,10],[2,6,"u","(2,2,2)",5,5,"exact",5,5],[2,6,"u","(2,2,1,1)",9,9,"exact",9,9],[2,6,"u","(2,1,1,1,1)",5,5,"exact",5,5],[2,6,"u","(1,1,1,1,1,1)",1,1,"exact",1,1],[2,7,"u","(7)",1,0,"exact",0,0],[2,7,"u","(6,1)",6,0,"exact",0,0],[2,7,"u","(5,2)",14,10,"exact",10,10],[2,7,"u","(5,1,1)",15,10,"exact",10,10],[2,7,"u","(4,3)",14,12,"exact",12,12],[2,7,"u","(4,2,1)",35,32,"exact",32,32],[2,7,"u","(4,1,1,1)",20,20,"exact",20,20],[2,7,"u","(3,3,1)",21,20,"exact",20,20],[2,7,"u","(3,2,2)",21,21,"exact",21,21],[2,7,"u","(3,2,1,1)",35,35,"exact",35,35],[2,7,"u","(3,1,1,1,1)",15,15,"exact",15,15],[2,7,"u","(2,2,2,1)",14,14,"exact",14,14],[2,7,"u","(2,2,1,1,1)",14,14,"exact",14,14],[2,7,"u","(2,1,1,1,1,1)",6,6,"exact",6,6],[2,7,"u","(1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,8,"u","(8)",1,0,"exact",0,0],[2,8,"u","(7,1)",7,0,"exact",0,0],[2,8,"u","(6,2)",20,15,"exact",15,15],[2,8,"u","(6,1,1)",21,15,"exact",15,15],[2,8,"u","(5,3)",28,25,"exact",25,25],[2,8,"u","(5,2,1)",64,60,"exact",60,60],[2,8,"u","(5,1,1,1)",35,35,"exact",35,35],[2,8,"u","(4,4)",14,13,"exact",13,13],[2,8,"u","(4,3,1)",70,68,"exact",68,68],[2,8,"u","(4,2,2)",56,56,"exact",56,56],[2,8,"u","(4,2,1,1)",90,90,"exact",90,90],[2,8,"u","(4,1,1,1,1)",35,35,"exact",35,35],[2,8,"u","(3,3,2)",42,42,"exact",42,42],[2,8,"u","(3,3,1,1)",56,56,"exact",56,56],[2,8,"u","(3,2,2,1)",70,70,"exact",70,70],[2,8,"u","(3,2,1,1,1)",64,64,"exact",64,64],[2,8,"u","(3,1,1,1,1,1)",21,21,"exact",21,21],[2,8,"u","(2,2,2,2)",14,14,"exact",14,14],[2,8,"u","(2,2,2,1,1)",28,28,"exact",28,28],[2,8,"u","(2,2,1,1,1,1)",20,20,"exact",20,20],[2,8,"u","(2,1,1,1,1,1,1)",7,7,"exact",7,7],[2,8,"u","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,9,"u","(9)",1,0,"exact",0,0],[2,9,"u","(8,1)",8,0,"exact",0,0],[2,9,"u","(7,2)",27,21,"exact",21,21],[2,9,"u","(7,1,1)",28,21,"exact",21,21],[2,9,"u","(6,3)",48,44,"exact",44,44],[2,9,"u","(6,2,1)",105,100,"exact",100,100],[2,9,"u","(6,1,1,1)",56,56,"exact",56,56],[2,9,"u","(5,4)",42,40,"exact",40,40],[2,9,"u","(5,3,1)",162,159,"exact",159,159],[2,9,"u","(5,2,2)",120,120,"exact",120,120],[2,9,"u","(5,2,1,1)",189,189,"exact",189,189],[2,9,"u","(5,1,1,1,1)",70,70,"exact",70,70],[2,9,"u","(4,4,1)",84,83,"exact",83,83],[2,9,"u","(4,3,2)",168,168,"exact",168,168],[2,9,"u","(4,3,1,1)",216,216,"exact",216,216],[2,9,"u","(4,2,2,1)",216,216,"exact",216,216],[2,9,"u","(4,2,1,1,1)",189,189,"exact",189,189],[2,9,"u","(4,1,1,1,1,1)",56,56,"exact",56,56],[2,9,"u","(3,3,3)",42,42,"exact",42,42],[2,9,"u","(3,3,2,1)",168,168,"exact",168,168],[2,9,"u","(3,3,1,1,1)",120,120,"exact",120,120],[2,9,"u","(3,2,2,2)",84,84,"exact",84,84],[2,9,"u","(3,2,2,1,1)",162,162,"exact",162,162],[2,9,"u","(3,2,1,1,1,1)",105,105,"exact",105,105],[2,9,"u","(3,1,1,1,1,1,1)",28,28,"exact",28,28],[2,9,"u","(2,2,2,2,1)",42,42,"exact",42,42],[2,9,"u","(2,2,2,1,1,1)",48,48,"exact",48,48],[2,9,"u","(2,2,1,1,1,1,1)",27,27,"exact",27,27],[2,9,"u","(2,1,1,1,1,1,1,1)",8,8,"exact",8,8],[2,9,"u","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,10,"u","(10)",1,0,"exact",0,0],[2,10,"u","(9,1)",9,0,"exact",0,0],[2,10,"u","(8,2)",35,28,"exact",28,28],[2,10,"u","(8,1,1)",36,28,"exact",28,28],[2,10,"u","(7,3)",75,70,"exact",70,70],[2,10,"u","(7,2,1)",160,154,"exact",154,154],[2,10,"u","(7,1,1,1)",84,84,"exact",84,84],[2,10,"u","(6,4)",90,87,"exact",87,87],[2,10,"u","(6,3,1)",315,311,"exact",311,311],[2,10,"u","(6,2,2)",225,225,"exact",225,225],[2,10,"u","(6,2,1,1)",350,350,"exact",350,350],[2,10,"u","(6,1,1,1,1)",126,126,"exact",126,126],[2,10,"u","(5,5)",42,41,"exact",41,41],[2,10,"u","(5,4,1)",288,286,"exact",286,286],[2,10,"u","(5,3,2)",450,450,"exact",450,450],[2,10,"u","(5,3,1,1)",567,567,"exact",567,567],[2,10,"u","(5,2,2,1)",525,525,"exact",525,525],[2,10,"u","(5,2,1,1,1)",448,448,"exact",448,448],[2,10,"u","(5,1,1,1,1,1)",126,126,"exact",126,126],[2,10,"u","(4,4,2)",252,252,"exact",252,252],[2,10,"u","(4,4,1,1)",300,300,"exact",300,300],[2,10,"u","(4,3,3)",210,210,"exact",210,210],[2,10,"u","(4,3,2,1)",768,768,"exact",768,768],[2,10,"u","(4,3,1,1,1)",525,525,"exact",525,525],[2,10,"u","(4,2,2,2)",300,300,"exact",300,300],[2,10,"u","(4,2,2,1,1)",567,567,"exact",567,567],[2,10,"u","(4,2,1,1,1,1)",350,350,"exact",350,350],[2,10,"u","(4,1,1,1,1,1,1)",84,84,"exact",84,84],[2,10,"u","(3,3,3,1)",210,210,"exact",210,210],[2,10,"u","(3,3,2,2)",252,252,"exact",252,252],[2,10,"u","(3,3,2,1,1)",450,450,"exact",450,450],[2,10,"u","(3,3,1,1,1,1)",225,225,"exact",225,225],[2,10,"u","(3,2,2,2,1)",288,288,"exact",288,288],[2,10,"u","(3,2,2,1,1,1)",315,315,"exact",315,315],[2,10,"u","(3,2,1,1,1,1,1)",160,160,"exact",160,160],[2,10,"u","(3,1,1,1,1,1,1,1)",36,36,"exact",36,36],[2,10,"u","(2,2,2,2,2)",42,42,"exact",42,42],[2,10,"u","(2,2,2,2,1,1)",90,90,"exact",90,90],[2,10,"u","(2,2,2,1,1,1,1)",75,75,"exact",75,75],[2,10,"u","(2,2,1,1,1,1,1,1)",35,35,"exact",35,35],[2,10,"u","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[2,10,"u","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,11,"u","(11)",1,0,"exact",0,0],[2,11,"u","(10,1)",10,0,"exact",0,0],[2,11,"u","(9,2)",44,36,"exact",36,36],[2,11,"u","(9,1,1)",45,36,"exact",36,36],[2,11,"u","(8,3)",110,104,"exact",104,104],[2,11,"u","(8,2,1)",231,224,"exact",224,224],[2,11,"u","(8,1,1,1)",120,120,"exact",120,120],[2,11,"u","(7,4)",165,161,"exact",161,161],[2,11,"u","(7,3,1)",550,545,"exact",545,545],[2,11,"u","(7,2,2)",385,385,"exact",385,385],[2,11,"u","(7,2,1,1)",594,594,"exact",594,594],[2,11,"u","(7,1,1,1,1)",210,210,"exact",210,210],[2,11,"u","(6,5)",132,130,"exact",130,130],[2,11,"u","(6,4,1)",693,690,"exact",690,690],[2,11,"u","(6,3,2)",990,990,"exact",990,990],[2,11,"u","(6,3,1,1)",1232,1232,"exact",1232,1232],[2,11,"u","(6,2,2,1)",1100,1100,"exact",1100,1100],[2,11,"u","(6,2,1,1,1)",924,924,"exact",924,924],[2,11,"u","(6,1,1,1,1,1)",252,252,"exact",252,252],[2,11,"u","(5,5,1)",330,329,"exact",329,329],[2,11,"u","(5,4,2)",990,990,"exact",990,990],[2,11,"u","(5,4,1,1)",1155,1155,"exact",1155,1155],[2,11,"u","(5,3,3)",660,660,"exact",660,660],[2,11,"u","(5,3,2,1)",2310,2310,"exact",2310,2310],[2,11,"u","(5,3,1,1,1)",1540,1540,"exact",1540,1540],[2,11,"u","(5,2,2,2)",825,825,"exact",825,825],[2,11,"u","(5,2,2,1,1)",1540,1540,"exact",1540,1540],[2,11,"u","(5,2,1,1,1,1)",924,924,"exact",924,924],[2,11,"u","(5,1,1,1,1,1,1)",210,210,"exact",210,210],[2,11,"u","(4,4,3)",462,462,"exact",462,462],[2,11,"u","(4,4,2,1)",1320,1320,"exact",1320,1320],[2,11,"u","(4,4,1,1,1)",825,825,"exact",825,825],[2,11,"u","(4,3,3,1)",1188,1188,"exact",1188,1188],[2,11,"u","(4,3,2,2)",1320,1320,"exact",1320,1320],[2,11,"u","(4,3,2,1,1)",2310,2310,"exact",2310,2310],[2,11,"u","(4,3,1,1,1,1)",1100,1100,"exact",1100,1100],[2,11,"u","(4,2,2,2,1)",1155,1155,"exact",1155,1155],[2,11,"u","(4,2,2,1,1,1)",1232,1232,"exact",1232,1232],[2,11,"u","(4,2,1,1,1,1,1)",594,594,"exact",594,594],[2,11,"u","(4,1,1,1,1,1,1,1)",120,120,"exact",120,120],[2,11,"u","(3,3,3,2)",462,462,"exact",462,462],[2,11,"u","(3,3,3,1,1)",660,660,"exact",660,660],[2,11,"u","(3,3,2,2,1)",990,990,"exact",990,990],[2,11,"u","(3,3,2,1,1,1)",990,990,"exact",990,990],[2,11,"u","(3,3,1,1,1,1,1)",385,385,"exact",385,385],[2,11,"u","(3,2,2,2,2)",330,330,"exact",330,330],[2,11,"u","(3,2,2,2,1,1)",693,693,"exact",693,693],[2,11,"u","(3,2,2,1,1,1,1)",550,550,"exact",550,550],[2,11,"u","(3,2,1,1,1,1,1,1)",231,231,"exact",231,231],[2,11,"u","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[2,11,"u","(2,2,2,2,2,1)",132,132,"exact",132,132],[2,11,"u","(2,2,2,2,1,1,1)",165,165,"exact",165,165],[2,11,"u","(2,2,2,1,1,1,1,1)",110,110,"exact",110,110],[2,11,"u","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[2,11,"u","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[2,11,"u","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,12,"u","(12)",1,0,"exact",0,0],[2,12,"u","(11,1)",11,0,"exact",0,0],[2,12,"u","(10,2)",54,45,"exact",45,45],[2,12,"u","(10,1,1)",55,45,"exact",45,45],[2,12,"u","(9,3)",154,147,"exact",147,147],[2,12,"u","(9,2,1)",320,312,"exact",312,312],[2,12,"u","(9,1,1,1)",165,165,"exact",165,165],[2,12,"u","(8,4)",275,270,"exact",270,270],[2,12,"u","(8,3,1)",891,885,"exact",885,885],[2,12,"u","(8,2,2)",616,616,"exact",616,616],[2,12,"u","(8,2,1,1)",945,945,"exact",945,945],[2,12,"u","(8,1,1,1,1)",330,330,"exact",330,330],[2,12,"u","(7,5)",297,294,"exact",294,294],[2,12,"u","(7,4,1)",1408,1404,"exact",1404,1404],[2,12,"u","(7,3,2)",1925,1925,"exact",1925,1925],[2,12,"u","(7,3,1,1)",2376,2376,"exact",2376,2376],[2,12,"u","(7,2,2,1)",2079,2079,"exact",2079,2079],[2,12,"u","(7,2,1,1,1)",1728,1728,"exact",1728,1728],[2,12,"u","(7,1,1,1,1,1)",462,462,"exact",462,462],[2,12,"u","(6,6)",132,131,"exact",131,131],[2,12,"u","(6,5,1)",1155,1153,"exact",1153,1153],[2,12,"u","(6,4,2)",2673,2673,"exact",2673,2673],[2,12,"u","(6,4,1,1)",3080,3080,"exact",3080,3080],[2,12,"u","(6,3,3)",1650,1650,"exact",1650,1650],[2,12,"u","(6,3,2,1)",5632,5632,"exact",5632,5632],[2,12,"u","(6,3,1,1,1)",3696,3696,"exact",3696,3696],[2,12,"u","(6,2,2,2)",1925,1925,"exact",1925,1925],[2,12,"u","(6,2,2,1,1)",3564,3564,"exact",3564,3564],[2,12,"u","(6,2,1,1,1,1)",2100,2100,"exact",2100,2100],[2,12,"u","(6,1,1,1,1,1,1)",462,462,"exact",462,462],[2,12,"u","(5,5,2)",1320,1320,"exact",1320,1320],[2,12,"u","(5,5,1,1)",1485,1485,"exact",1485,1485],[2,12,"u","(5,4,3)",2112,2112,"exact",2112,2112],[2,12,"u","(5,4,2,1)",5775,5775,"exact",5775,5775],[2,12,"u","(5,4,1,1,1)",3520,3520,"exact",3520,3520],[2,12,"u","(5,3,3,1)",4158,4158,"exact",4158,4158],[2,12,"u","(5,3,2,2)",4455,4455,"exact",4455,4455],[2,12,"u","(5,3,2,1,1)",7700,7700,"exact",7700,7700],[2,12,"u","(5,3,1,1,1,1)",3564,3564,"exact",3564,3564],[2,12,"u","(5,2,2,2,1)",3520,3520,"exact",3520,3520],[2,12,"u","(5,2,2,1,1,1)",3696,3696,"exact",3696,3696],[2,12,"u","(5,2,1,1,1,1,1)",1728,1728,"exact",1728,1728],[2,12,"u","(5,1,1,1,1,1,1,1)",330,330,"exact",330,330],[2,12,"u","(4,4,4)",462,462,"exact",462,462],[2,12,"u","(4,4,3,1)",2970,2970,"exact",2970,2970],[2,12,"u","(4,4,2,2)",2640,2640,"exact",2640,2640],[2,12,"u","(4,4,2,1,1)",4455,4455,"exact",4455,4455],[2,12,"u","(4,4,1,1,1,1)",1925,1925,"exact",1925,1925],[2,12,"u","(4,3,3,2)",2970,2970,"exact",2970,2970],[2,12,"u","(4,3,3,1,1)",4158,4158,"exact",4158,4158],[2,12,"u","(4,3,2,2,1)",5775,5775,"exact",5775,5775],[2,12,"u","(4,3,2,1,1,1)",5632,5632,"exact",5632,5632],[2,12,"u","(4,3,1,1,1,1,1)",2079,2079,"exact",2079,2079],[2,12,"u","(4,2,2,2,2)",1485,1485,"exact",1485,1485],[2,12,"u","(4,2,2,2,1,1)",3080,3080,"exact",3080,3080],[2,12,"u","(4,2,2,1,1,1,1)",2376,2376,"exact",2376,2376],[2,12,"u","(4,2,1,1,1,1,1,1)",945,945,"exact",945,945],[2,12,"u","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[2,12,"u","(3,3,3,3)",462,462,"exact",462,462],[2,12,"u","(3,3,3,2,1)",2112,2112,"exact",2112,2112],[2,12,"u","(3,3,3,1,1,1)",1650,1650,"exact",1650,1650],[2,12,"u","(3,3,2,2,2)",1320,1320,"exact",1320,1320],[2,12,"u","(3,3,2,2,1,1)",2673,2673,"exact",2673,2673],[2,12,"u","(3,3,2,1,1,1,1)",1925,1925,"exact",1925,1925],[2,12,"u","(3,3,1,1,1,1,1,1)",616,616,"exact",616,616],[2,12,"u","(3,2,2,2,2,1)",1155,1155,"exact",1155,1155],[2,12,"u","(3,2,2,2,1,1,1)",1408,1408,"exact",1408,1408],[2,12,"u","(3,2,2,1,1,1,1,1)",891,891,"exact",891,891],[2,12,"u","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[2,12,"u","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[2,12,"u","(2,2,2,2,2,2)",132,132,"exact",132,132],[2,12,"u","(2,2,2,2,2,1,1)",297,297,"exact",297,297],[2,12,"u","(2,2,2,2,1,1,1,1)",275,275,"exact",275,275],[2,12,"u","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[2,12,"u","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[2,12,"u","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[2,12,"u","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,13,"u","(13)",1,0,"exact",0,0],[2,13,"u","(12,1)",12,0,"exact",0,0],[2,13,"u","(11,2)",65,55,"exact",55,55],[2,13,"u","(11,1,1)",66,55,"exact",55,55],[2,13,"u","(10,3)",208,200,"exact",200,200],[2,13,"u","(10,2,1)",429,420,"exact",420,420],[2,13,"u","(10,1,1,1)",220,220,"exact",220,220],[2,13,"u","(9,4)",429,423,"exact",423,423],[2,13,"u","(9,3,1)",1365,1358,"exact",1358,1358],[2,13,"u","(9,2,2)",936,936,"exact",936,936],[2,13,"u","(9,2,1,1)",1430,1430,"exact",1430,1430],[2,13,"u","(9,1,1,1,1)",495,495,"exact",495,495],[2,13,"u","(8,5)",572,568,"exact",568,568],[2,13,"u","(8,4,1)",2574,2569,"exact",2569,2569],[2,13,"u","(8,3,2)",3432,3432,"exact",3432,3432],[2,13,"u","(8,3,1,1)",4212,4212,"exact",4212,4212],[2,13,"u","(8,2,2,1)",3640,3640,"exact",3640,3640],[2,13,"u","(8,2,1,1,1)",3003,3003,"exact",3003,3003],[2,13,"u","(8,1,1,1,1,1)",792,792,"exact",792,792],[2,13,"u","(7,6)",429,427,"exact",427,427],[2,13,"u","(7,5,1)",2860,2857,"exact",2857,2857],[2,13,"u","(7,4,2)",6006,6006,"exact",6006,6006],[2,13,"u","(7,4,1,1)",6864,6864,"exact",6864,6864],[2,13,"u","(7,3,3)",3575,3575,"exact",3575,3575],[2,13,"u","(7,3,2,1)",12012,12012,"exact",12012,12012],[2,13,"u","(7,3,1,1,1)",7800,7800,"exact",7800,7800],[2,13,"u","(7,2,2,2)",4004,4004,"exact",4004,4004],[2,13,"u","(7,2,2,1,1)",7371,7371,"exact",7371,7371],[2,13,"u","(7,2,1,1,1,1)",4290,4290,"exact",4290,4290],[2,13,"u","(7,1,1,1,1,1,1)",924,924,"exact",924,924],[2,13,"u","(6,6,1)",1287,1286,"exact",1286,1286],[2,13,"u","(6,5,2)",5148,5148,"exact",5148,5148],[2,13,"u","(6,5,1,1)",5720,5720,"exact",5720,5720],[2,13,"u","(6,4,3)",6435,6435,"exact",6435,6435],[2,13,"u","(6,4,2,1)",17160,17160,"exact",17160,17160],[2,13,"u","(6,4,1,1,1)",10296,10296,"exact",10296,10296],[2,13,"u","(6,3,3,1)",11440,11440,"exact",11440,11440],[2,13,"u","(6,3,2,2)",12012,12012,"exact",12012,12012],[2,13,"u","(6,3,2,1,1)",20592,20592,"exact",20592,20592],[2,13,"u","(6,3,1,1,1,1)",9360,9360,"exact",9360,9360],[2,13,"u","(6,2,2,2,1)",9009,9009,"exact",9009,9009],[2,13,"u","(6,2,2,1,1,1)",9360,9360,"exact",9360,9360],[2,13,"u","(6,2,1,1,1,1,1)",4290,4290,"exact",4290,4290],[2,13,"u","(6,1,1,1,1,1,1,1)",792,792,"exact",792,792],[2,13,"u","(5,5,3)",3432,3432,"exact",3432,3432],[2,13,"u","(5,5,2,1)",8580,8580,"exact",8580,8580],[2,13,"u","(5,5,1,1,1)",5005,5005,"exact",5005,5005],[2,13,"u","(5,4,4)",2574,2574,"exact",2574,2574],[2,13,"u","(5,4,3,1)",15015,15015,"exact",15015,15015],[2,13,"u","(5,4,2,2)",12870,12870,"exact",12870,12870],[2,13,"u","(5,4,2,1,1)",21450,21450,"exact",21450,21450],[2,13,"u","(5,4,1,1,1,1)",9009,9009,"exact",9009,9009],[2,13,"u","(5,3,3,2)",11583,11583,"exact",11583,11583],[2,13,"u","(5,3,3,1,1)",16016,16016,"exact",16016,16016],[2,13,"u","(5,3,2,2,1)",21450,21450,"exact",21450,21450],[2,13,"u","(5,3,2,1,1,1)",20592,20592,"exact",20592,20592],[2,13,"u","(5,3,1,1,1,1,1)",7371,7371,"exact",7371,7371],[2,13,"u","(5,2,2,2,2)",5005,5005,"exact",5005,5005],[2,13,"u","(5,2,2,2,1,1)",10296,10296,"exact",10296,10296],[2,13,"u","(5,2,2,1,1,1,1)",7800,7800,"exact",7800,7800],[2,13,"u","(5,2,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,13,"u","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[2,13,"u","(4,4,4,1)",3432,3432,"exact",3432,3432],[2,13,"u","(4,4,3,2)",8580,8580,"exact",8580,8580],[2,13,"u","(4,4,3,1,1)",11583,11583,"exact",11583,11583],[2,13,"u","(4,4,2,2,1)",12870,12870,"exact",12870,12870],[2,13,"u","(4,4,2,1,1,1)",12012,12012,"exact",12012,12012],[2,13,"u","(4,4,1,1,1,1,1)",4004,4004,"exact",4004,4004],[2,13,"u","(4,3,3,3)",3432,3432,"exact",3432,3432],[2,13,"u","(4,3,3,2,1)",15015,15015,"exact",15015,15015],[2,13,"u","(4,3,3,1,1,1)",11440,11440,"exact",11440,11440],[2,13,"u","(4,3,2,2,2)",8580,8580,"exact",8580,8580],[2,13,"u","(4,3,2,2,1,1)",17160,17160,"exact",17160,17160],[2,13,"u","(4,3,2,1,1,1,1)",12012,12012,"exact",12012,12012],[2,13,"u","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[2,13,"u","(4,2,2,2,2,1)",5720,5720,"exact",5720,5720],[2,13,"u","(4,2,2,2,1,1,1)",6864,6864,"exact",6864,6864],[2,13,"u","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[2,13,"u","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[2,13,"u","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[2,13,"u","(3,3,3,3,1)",2574,2574,"exact",2574,2574],[2,13,"u","(3,3,3,2,2)",3432,3432,"exact",3432,3432],[2,13,"u","(3,3,3,2,1,1)",6435,6435,"exact",6435,6435],[2,13,"u","(3,3,3,1,1,1,1)",3575,3575,"exact",3575,3575],[2,13,"u","(3,3,2,2,2,1)",5148,5148,"exact",5148,5148],[2,13,"u","(3,3,2,2,1,1,1)",6006,6006,"exact",6006,6006],[2,13,"u","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[2,13,"u","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[2,13,"u","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[2,13,"u","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[2,13,"u","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[2,13,"u","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,13,"u","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[2,13,"u","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[2,13,"u","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[2,13,"u","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[2,13,"u","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[2,13,"u","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[2,13,"u","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[2,13,"u","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[2,13,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,14,"u","(14)",1,0,"exact",0,0],[2,14,"u","(13,1)",13,0,"exact",0,0],[2,14,"u","(12,2)",77,66,"exact",66,66],[2,14,"u","(12,1,1)",78,66,"exact",66,66],[2,14,"u","(11,3)",273,264,"exact",264,264],[2,14,"u","(11,2,1)",560,550,"exact",550,550],[2,14,"u","(11,1,1,1)",286,286,"exact",286,286],[2,14,"u","(10,4)",637,630,"exact",630,630],[2,14,"u","(10,3,1)",2002,1994,"exact",1994,1994],[2,14,"u","(10,2,2)",1365,1365,"exact",1365,1365],[2,14,"u","(10,2,1,1)",2079,2079,"exact",2079,2079],[2,14,"u","(10,1,1,1,1)",715,715,"exact",715,715],[2,14,"u","(9,5)",1001,996,"exact",996,996],[2,14,"u","(9,4,1)",4368,4362,"exact",4362,4362],[2,14,"u","(9,3,2)",5733,5733,"exact",5733,5733],[2,14,"u","(9,3,1,1)",7007,7007,"exact",7007,7007],[2,14,"u","(9,2,2,1)",6006,6006,"exact",6006,6006],[2,14,"u","(9,2,1,1,1)",4928,4928,"exact",4928,4928],[2,14,"u","(9,1,1,1,1,1)",1287,1287,"exact",1287,1287],[2,14,"u","(8,6)",1001,998,"exact",998,998],[2,14,"u","(8,5,1)",6006,6002,"exact",6002,6002],[2,14,"u","(8,4,2)",12012,12012,"exact",12012,12012],[2,14,"u","(8,4,1,1)",13650,13650,"exact",13650,13650],[2,14,"u","(8,3,3)",7007,7007,"exact",7007,7007],[2,14,"u","(8,3,2,1)",23296,23296,"exact",23296,23296],[2,14,"u","(8,3,1,1,1)",15015,15015,"exact",15015,15015],[2,14,"u","(8,2,2,2)",7644,7644,"exact",7644,7644],[2,14,"u","(8,2,2,1,1)",14014,14014,"exact",14014,14014],[2,14,"u","(8,2,1,1,1,1)",8085,8085,"exact",8085,8085],[2,14,"u","(8,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[2,14,"u","(7,7)",429,428,"exact",428,428],[2,14,"u","(7,6,1)",4576,4574,"exact",4574,4574],[2,14,"u","(7,5,2)",14014,14014,"exact",14014,14014],[2,14,"u","(7,5,1,1)",15444,15444,"exact",15444,15444],[2,14,"u","(7,4,3)",16016,16016,"exact",16016,16016],[2,14,"u","(7,4,2,1)",42042,42042,"exact",42042,42042],[2,14,"u","(7,4,1,1,1)",24960,24960,"exact",24960,24960],[2,14,"u","(7,3,3,1)",27027,27027,"exact",27027,27027],[2,14,"u","(7,3,2,2)",28028,28028,"exact",28028,28028],[2,14,"u","(7,3,2,1,1)",47775,47775,"exact",47775,47775],[2,14,"u","(7,3,1,1,1,1)",21450,21450,"exact",21450,21450],[2,14,"u","(7,2,2,2,1)",20384,20384,"exact",20384,20384],[2,14,"u","(7,2,2,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"u","(7,2,1,1,1,1,1)",9504,9504,"exact",9504,9504],[2,14,"u","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[2,14,"u","(6,6,2)",6435,6435,"exact",6435,6435],[2,14,"u","(6,6,1,1)",7007,7007,"exact",7007,7007],[2,14,"u","(6,5,3)",15015,15015,"exact",15015,15015],[2,14,"u","(6,5,2,1)",36608,36608,"exact",36608,36608],[2,14,"u","(6,5,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"u","(6,4,4)",9009,9009,"exact",9009,9009],[2,14,"u","(6,4,3,1)",50050,50050,"exact",50050,50050],[2,14,"u","(6,4,2,2)",42042,42042,"exact",42042,42042],[2,14,"u","(6,4,2,1,1)",69498,69498,"exact",69498,69498],[2,14,"u","(6,4,1,1,1,1)",28665,28665,"exact",28665,28665],[2,14,"u","(6,3,3,2)",35035,35035,"exact",35035,35035],[2,14,"u","(6,3,3,1,1)",48048,48048,"exact",48048,48048],[2,14,"u","(6,3,2,2,1)",63063,63063,"exact",63063,63063],[2,14,"u","(6,3,2,1,1,1)",59904,59904,"exact",59904,59904],[2,14,"u","(6,3,1,1,1,1,1)",21021,21021,"exact",21021,21021],[2,14,"u","(6,2,2,2,2)",14014,14014,"exact",14014,14014],[2,14,"u","(6,2,2,2,1,1)",28665,28665,"exact",28665,28665],[2,14,"u","(6,2,2,1,1,1,1)",21450,21450,"exact",21450,21450],[2,14,"u","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[2,14,"u","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[2,14,"u","(5,5,4)",6006,6006,"exact",6006,6006],[2,14,"u","(5,5,3,1)",27027,27027,"exact",27027,27027],[2,14,"u","(5,5,2,2)",21450,21450,"exact",21450,21450],[2,14,"u","(5,5,2,1,1)",35035,35035,"exact",35035,35035],[2,14,"u","(5,5,1,1,1,1)",14014,14014,"exact",14014,14014],[2,14,"u","(5,4,4,1)",21021,21021,"exact",21021,21021],[2,14,"u","(5,4,3,2)",48048,48048,"exact",48048,48048],[2,14,"u","(5,4,3,1,1)",64064,64064,"exact",64064,64064],[2,14,"u","(5,4,2,2,1)",68640,68640,"exact",68640,68640],[2,14,"u","(5,4,2,1,1,1)",63063,63063,"exact",63063,63063],[2,14,"u","(5,4,1,1,1,1,1)",20384,20384,"exact",20384,20384],[2,14,"u","(5,3,3,3)",15015,15015,"exact",15015,15015],[2,14,"u","(5,3,3,2,1)",64064,64064,"exact",64064,64064],[2,14,"u","(5,3,3,1,1,1)",48048,48048,"exact",48048,48048],[2,14,"u","(5,3,2,2,2)",35035,35035,"exact",35035,35035],[2,14,"u","(5,3,2,2,1,1)",69498,69498,"exact",69498,69498],[2,14,"u","(5,3,2,1,1,1,1)",47775,47775,"exact",47775,47775],[2,14,"u","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[2,14,"u","(5,2,2,2,2,1)",21021,21021,"exact",21021,21021],[2,14,"u","(5,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[2,14,"u","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[2,14,"u","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[2,14,"u","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[2,14,"u","(4,4,4,2)",12012,12012,"exact",12012,12012],[2,14,"u","(4,4,4,1,1)",15015,15015,"exact",15015,15015],[2,14,"u","(4,4,3,3)",12012,12012,"exact",12012,12012],[2,14,"u","(4,4,3,2,1)",48048,48048,"exact",48048,48048],[2,14,"u","(4,4,3,1,1,1)",35035,35035,"exact",35035,35035],[2,14,"u","(4,4,2,2,2)",21450,21450,"exact",21450,21450],[2,14,"u","(4,4,2,2,1,1)",42042,42042,"exact",42042,42042],[2,14,"u","(4,4,2,1,1,1,1)",28028,28028,"exact",28028,28028],[2,14,"u","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[2,14,"u","(4,3,3,3,1)",21021,21021,"exact",21021,21021],[2,14,"u","(4,3,3,2,2)",27027,27027,"exact",27027,27027],[2,14,"u","(4,3,3,2,1,1)",50050,50050,"exact",50050,50050],[2,14,"u","(4,3,3,1,1,1,1)",27027,27027,"exact",27027,27027],[2,14,"u","(4,3,2,2,2,1)",36608,36608,"exact",36608,36608],[2,14,"u","(4,3,2,2,1,1,1)",42042,42042,"exact",42042,42042],[2,14,"u","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[2,14,"u","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[2,14,"u","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[2,14,"u","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[2,14,"u","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[2,14,"u","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,14,"u","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[2,14,"u","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[2,14,"u","(3,3,3,3,2)",6006,6006,"exact",6006,6006],[2,14,"u","(3,3,3,3,1,1)",9009,9009,"exact",9009,9009],[2,14,"u","(3,3,3,2,2,1)",15015,15015,"exact",15015,15015],[2,14,"u","(3,3,3,2,1,1,1)",16016,16016,"exact",16016,16016],[2,14,"u","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,14,"u","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[2,14,"u","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[2,14,"u","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[2,14,"u","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[2,14,"u","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,14,"u","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[2,14,"u","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[2,14,"u","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,14,"u","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,14,"u","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[2,14,"u","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[2,14,"u","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[2,14,"u","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[2,14,"u","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[2,14,"u","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[2,14,"u","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[2,14,"u","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[2,14,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[2,14,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,15,"u","(15)",1,0,"exact",0,0],[2,15,"u","(14,1)",14,0,"exact",0,0],[2,15,"u","(13,2)",90,78,"exact",78,78],[2,15,"u","(13,1,1)",91,78,"exact",78,78],[2,15,"u","(12,3)",350,340,"exact",340,340],[2,15,"u","(12,2,1)",715,704,"exact",704,704],[2,15,"u","(12,1,1,1)",364,364,"exact",364,364],[2,15,"u","(11,4)",910,902,"exact",902,902],[2,15,"u","(11,3,1)",2835,2826,"exact",2826,2826],[2,15,"u","(11,2,2)",1925,1925,"exact",1925,1925],[2,15,"u","(11,2,1,1)",2925,2925,"exact",2925,2925],[2,15,"u","(11,1,1,1,1)",1001,1001,"exact",1001,1001],[2,15,"u","(10,5)",1638,1632,"exact",1632,1632],[2,15,"u","(10,4,1)",7007,7000,"exact",7000,7000],[2,15,"u","(10,3,2)",9100,9100,"exact",9100,9100],[2,15,"u","(10,3,1,1)",11088,11088,"exact",11088,11088],[2,15,"u","(10,2,2,1)",9450,9450,"exact",9450,9450],[2,15,"u","(10,2,1,1,1)",7722,7722,"exact",7722,7722],[2,15,"u","(10,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"u","(9,6)",2002,1998,"exact",1998,1998],[2,15,"u","(9,5,1)",11375,11370,"exact",11370,11370],[2,15,"u","(9,4,2)",22113,22113,"exact",22113,22113],[2,15,"u","(9,4,1,1)",25025,25025,"exact",25025,25025],[2,15,"u","(9,3,3)",12740,12740,"exact",12740,12740],[2,15,"u","(9,3,2,1)",42042,42042,"exact",42042,42042],[2,15,"u","(9,3,1,1,1)",26950,26950,"exact",26950,26950],[2,15,"u","(9,2,2,2)",13650,13650,"exact",13650,13650],[2,15,"u","(9,2,2,1,1)",24948,24948,"exact",24948,24948],[2,15,"u","(9,2,1,1,1,1)",14300,14300,"exact",14300,14300],[2,15,"u","(9,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,15,"u","(8,7)",1430,1428,"exact",1428,1428],[2,15,"u","(8,6,1)",11583,11580,"exact",11580,11580],[2,15,"u","(8,5,2)",32032,32032,"exact",32032,32032],[2,15,"u","(8,5,1,1)",35100,35100,"exact",35100,35100],[2,15,"u","(8,4,3)",35035,35035,"exact",35035,35035],[2,15,"u","(8,4,2,1)",91000,91000,"exact",91000,91000],[2,15,"u","(8,4,1,1,1)",53625,53625,"exact",53625,53625],[2,15,"u","(8,3,3,1)",57330,57330,"exact",57330,57330],[2,15,"u","(8,3,2,2)",58968,58968,"exact",58968,58968],[2,15,"u","(8,3,2,1,1)",100100,100100,"exact",100100,100100],[2,15,"u","(8,3,1,1,1,1)",44550,44550,"exact",44550,44550],[2,15,"u","(8,2,2,2,1)",42042,42042,"exact",42042,42042],[2,15,"u","(8,2,2,1,1,1)",43120,43120,"exact",43120,43120],[2,15,"u","(8,2,1,1,1,1,1)",19305,19305,"exact",19305,19305],[2,15,"u","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[2,15,"u","(7,7,1)",5005,5004,"exact",5004,5004],[2,15,"u","(7,6,2)",25025,25025,"exact",25025,25025],[2,15,"u","(7,6,1,1)",27027,27027,"exact",27027,27027],[2,15,"u","(7,5,3)",45045,45045,"exact",45045,45045],[2,15,"u","(7,5,2,1)",108108,108108,"exact",108108,108108],[2,15,"u","(7,5,1,1,1)",61425,61425,"exact",61425,61425],[2,15,"u","(7,4,4)",25025,25025,"exact",25025,25025],[2,15,"u","(7,4,3,1)",135135,135135,"exact",135135,135135],[2,15,"u","(7,4,2,2)",112112,112112,"exact",112112,112112],[2,15,"u","(7,4,2,1,1)",184275,184275,"exact",184275,184275],[2,15,"u","(7,4,1,1,1,1)",75075,75075,"exact",75075,75075],[2,15,"u","(7,3,3,2)",90090,90090,"exact",90090,90090],[2,15,"u","(7,3,3,1,1)",122850,122850,"exact",122850,122850],[2,15,"u","(7,3,2,2,1)",159250,159250,"exact",159250,159250],[2,15,"u","(7,3,2,1,1,1)",150150,150150,"exact",150150,150150],[2,15,"u","(7,3,1,1,1,1,1)",51975,51975,"exact",51975,51975],[2,15,"u","(7,2,2,2,2)",34398,34398,"exact",34398,34398],[2,15,"u","(7,2,2,2,1,1)",70070,70070,"exact",70070,70070],[2,15,"u","(7,2,2,1,1,1,1)",51975,51975,"exact",51975,51975],[2,15,"u","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[2,15,"u","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,15,"u","(6,6,3)",21450,21450,"exact",21450,21450],[2,15,"u","(6,6,2,1)",50050,50050,"exact",50050,50050],[2,15,"u","(6,6,1,1,1)",28028,28028,"exact",28028,28028],[2,15,"u","(6,5,4)",30030,30030,"exact",30030,30030],[2,15,"u","(6,5,3,1)",128700,128700,"exact",128700,128700],[2,15,"u","(6,5,2,2)",100100,100100,"exact",100100,100100],[2,15,"u","(6,5,2,1,1)",162162,162162,"exact",162162,162162],[2,15,"u","(6,5,1,1,1,1)",63700,63700,"exact",63700,63700],[2,15,"u","(6,4,4,1)",80080,80080,"exact",80080,80080],[2,15,"u","(6,4,3,2)",175175,175175,"exact",175175,175175],[2,15,"u","(6,4,3,1,1)",231660,231660,"exact",231660,231660],[2,15,"u","(6,4,2,2,1)",243243,243243,"exact",243243,243243],[2,15,"u","(6,4,2,1,1,1)",221130,221130,"exact",221130,221130],[2,15,"u","(6,4,1,1,1,1,1)",70070,70070,"exact",70070,70070],[2,15,"u","(6,3,3,3)",50050,50050,"exact",50050,50050],[2,15,"u","(6,3,3,2,1)",210210,210210,"exact",210210,210210],[2,15,"u","(6,3,3,1,1,1)",156000,156000,"exact",156000,156000],[2,15,"u","(6,3,2,2,2)",112112,112112,"exact",112112,112112],[2,15,"u","(6,3,2,2,1,1)",221130,221130,"exact",221130,221130],[2,15,"u","(6,3,2,1,1,1,1)",150150,150150,"exact",150150,150150],[2,15,"u","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[2,15,"u","(6,2,2,2,2,1)",63700,63700,"exact",63700,63700],[2,15,"u","(6,2,2,2,1,1,1)",75075,75075,"exact",75075,75075],[2,15,"u","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[2,15,"u","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[2,15,"u","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"u","(5,5,5)",6006,6006,"exact",6006,6006],[2,15,"u","(5,5,4,1)",54054,54054,"exact",54054,54054],[2,15,"u","(5,5,3,2)",96525,96525,"exact",96525,96525],[2,15,"u","(5,5,3,1,1)",126126,126126,"exact",126126,126126],[2,15,"u","(5,5,2,2,1)",125125,125125,"exact",125125,125125],[2,15,"u","(5,5,2,1,1,1)",112112,112112,"exact",112112,112112],[2,15,"u","(5,5,1,1,1,1,1)",34398,34398,"exact",34398,34398],[2,15,"u","(5,4,4,2)",81081,81081,"exact",81081,81081],[2,15,"u","(5,4,4,1,1)",100100,100100,"exact",100100,100100],[2,15,"u","(5,4,3,3)",75075,75075,"exact",75075,75075],[2,15,"u","(5,4,3,2,1)",292864,292864,"exact",292864,292864],[2,15,"u","(5,4,3,1,1,1)",210210,210210,"exact",210210,210210],[2,15,"u","(5,4,2,2,2)",125125,125125,"exact",125125,125125],[2,15,"u","(5,4,2,2,1,1)",243243,243243,"exact",243243,243243],[2,15,"u","(5,4,2,1,1,1,1)",159250,159250,"exact",159250,159250],[2,15,"u","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,15,"u","(5,3,3,3,1)",100100,100100,"exact",100100,100100],[2,15,"u","(5,3,3,2,2)",126126,126126,"exact",126126,126126],[2,15,"u","(5,3,3,2,1,1)",231660,231660,"exact",231660,231660],[2,15,"u","(5,3,3,1,1,1,1)",122850,122850,"exact",122850,122850],[2,15,"u","(5,3,2,2,2,1)",162162,162162,"exact",162162,162162],[2,15,"u","(5,3,2,2,1,1,1)",184275,184275,"exact",184275,184275],[2,15,"u","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[2,15,"u","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[2,15,"u","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[2,15,"u","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[2,15,"u","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[2,15,"u","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[2,15,"u","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[2,15,"u","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[2,15,"u","(4,4,4,3)",24024,24024,"exact",24024,24024],[2,15,"u","(4,4,4,2,1)",75075,75075,"exact",75075,75075],[2,15,"u","(4,4,4,1,1,1)",50050,50050,"exact",50050,50050],[2,15,"u","(4,4,3,3,1)",81081,81081,"exact",81081,81081],[2,15,"u","(4,4,3,2,2)",96525,96525,"exact",96525,96525],[2,15,"u","(4,4,3,2,1,1)",175175,175175,"exact",175175,175175],[2,15,"u","(4,4,3,1,1,1,1)",90090,90090,"exact",90090,90090],[2,15,"u","(4,4,2,2,2,1)",100100,100100,"exact",100100,100100],[2,15,"u","(4,4,2,2,1,1,1)",112112,112112,"exact",112112,112112],[2,15,"u","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[2,15,"u","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[2,15,"u","(4,3,3,3,2)",54054,54054,"exact",54054,54054],[2,15,"u","(4,3,3,3,1,1)",80080,80080,"exact",80080,80080],[2,15,"u","(4,3,3,2,2,1)",128700,128700,"exact",128700,128700],[2,15,"u","(4,3,3,2,1,1,1)",135135,135135,"exact",135135,135135],[2,15,"u","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[2,15,"u","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[2,15,"u","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[2,15,"u","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[2,15,"u","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,15,"u","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[2,15,"u","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[2,15,"u","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[2,15,"u","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[2,15,"u","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[2,15,"u","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[2,15,"u","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[2,15,"u","(3,3,3,3,3)",6006,6006,"exact",6006,6006],[2,15,"u","(3,3,3,3,2,1)",30030,30030,"exact",30030,30030],[2,15,"u","(3,3,3,3,1,1,1)",25025,25025,"exact",25025,25025],[2,15,"u","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[2,15,"u","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[2,15,"u","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[2,15,"u","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[2,15,"u","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[2,15,"u","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[2,15,"u","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[2,15,"u","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[2,15,"u","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[2,15,"u","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[2,15,"u","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[2,15,"u","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[2,15,"u","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[2,15,"u","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[2,15,"u","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[2,15,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[2,15,"u","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[2,15,"u","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[2,15,"u","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[2,15,"u","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[2,15,"u","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[2,15,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[2,15,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[2,15,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,16,"u","(16)",1,0,"exact",0,0],[2,16,"u","(15,1)",15,0,"exact",0,0],[2,16,"u","(14,2)",104,91,"exact",91,91],[2,16,"u","(14,1,1)",105,91,"exact",91,91],[2,16,"u","(13,3)",440,429,"exact",429,429],[2,16,"u","(13,2,1)",896,884,"exact",884,884],[2,16,"u","(13,1,1,1)",455,455,"exact",455,455],[2,16,"u","(12,4)",1260,1251,"exact",1251,1251],[2,16,"u","(12,3,1)",3900,3890,"exact",3890,3890],[2,16,"u","(12,2,2)",2640,2640,"exact",2640,2640],[2,16,"u","(12,2,1,1)",4004,4004,"exact",4004,4004],[2,16,"u","(12,1,1,1,1)",1365,1365,"exact",1365,1365],[2,16,"u","(11,5)",2548,2541,"exact",2541,2541],[2,16,"u","(11,4,1)",10752,10744,"exact",10744,10744],[2,16,"u","(11,3,2)",13860,13860,"exact",13860,13860],[2,16,"u","(11,3,1,1)",16848,16848,"exact",16848,16848],[2,16,"u","(11,2,2,1)",14300,14300,"exact",14300,14300],[2,16,"u","(11,2,1,1,1)",11648,11648,"exact",11648,11648],[2,16,"u","(11,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,16,"u","(10,6)",3640,3635,"exact",3635,3635],[2,16,"u","(10,5,1)",20020,20014,"exact",20014,20014],[2,16,"u","(10,4,2)",38220,38220,"exact",38220,38220],[2,16,"u","(10,4,1,1)",43120,43120,"exact",43120,43120],[2,16,"u","(10,3,3)",21840,21840,"exact",21840,21840],[2,16,"u","(10,3,2,1)",71680,71680,"exact",71680,71680],[2,16,"u","(10,3,1,1,1)",45760,45760,"exact",45760,45760],[2,16,"u","(10,2,2,2)",23100,23100,"exact",23100,23100],[2,16,"u","(10,2,2,1,1)",42120,42120,"exact",42120,42120],[2,16,"u","(10,2,1,1,1,1)",24024,24024,"exact",24024,24024],[2,16,"u","(10,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[2,16,"u","(9,7)",3432,3429,"exact",3429,3429],[2,16,"u","(9,6,1)",24960,24956,"exact",24956,24956],[2,16,"u","(9,5,2)",65520,65520,"exact",65520,65520],[2,16,"u","(9,5,1,1)",71500,71500,"exact",71500,71500],[2,16,"u","(9,4,3)",69888,69888,"exact",69888,69888],[2,16,"u","(9,4,2,1)",180180,180180,"exact",180180,180180],[2,16,"u","(9,4,1,1,1)",105600,105600,"exact",105600,105600],[2,16,"u","(9,3,3,1)",112112,112112,"exact",112112,112112],[2,16,"u","(9,3,2,2)",114660,114660,"exact",114660,114660],[2,16,"u","(9,3,2,1,1)",194040,194040,"exact",194040,194040],[2,16,"u","(9,3,1,1,1,1)",85800,85800,"exact",85800,85800],[2,16,"u","(9,2,2,2,1)",80640,80640,"exact",80640,80640],[2,16,"u","(9,2,2,1,1,1)",82368,82368,"exact",82368,82368],[2,16,"u","(9,2,1,1,1,1,1)",36608,36608,"exact",36608,36608],[2,16,"u","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[2,16,"u","(8,8)",1430,1429,"exact",1429,1429],[2,16,"u","(8,7,1)",18018,18016,"exact",18016,18016],[2,16,"u","(8,6,2)",68640,68640,"exact",68640,68640],[2,16,"u","(8,6,1,1)",73710,73710,"exact",73710,73710],[2,16,"u","(8,5,3)",112112,112112,"exact",112112,112112],[2,16,"u","(8,5,2,1)",266240,266240,"exact",266240,266240],[2,16,"u","(8,5,1,1,1)",150150,150150,"exact",150150,150150],[2,16,"u","(8,4,4)",60060,60060,"exact",60060,60060],[2,16,"u","(8,4,3,1)",318500,318500,"exact",318500,318500],[2,16,"u","(8,4,2,2)",262080,262080,"exact",262080,262080],[2,16,"u","(8,4,2,1,1)",429000,429000,"exact",429000,429000],[2,16,"u","(8,4,1,1,1,1)",173250,173250,"exact",173250,173250],[2,16,"u","(8,3,3,2)",206388,206388,"exact",206388,206388],[2,16,"u","(8,3,3,1,1)",280280,280280,"exact",280280,280280],[2,16,"u","(8,3,2,2,1)",360360,360360,"exact",360360,360360],[2,16,"u","(8,3,2,1,1,1)",337920,337920,"exact",337920,337920],[2,16,"u","(8,3,1,1,1,1,1)",115830,115830,"exact",115830,115830],[2,16,"u","(8,2,2,2,2)",76440,76440,"exact",76440,76440],[2,16,"u","(8,2,2,2,1,1)",155232,155232,"exact",155232,155232],[2,16,"u","(8,2,2,1,1,1,1)",114400,114400,"exact",114400,114400],[2,16,"u","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[2,16,"u","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[2,16,"u","(7,7,2)",30030,30030,"exact",30030,30030],[2,16,"u","(7,7,1,1)",32032,32032,"exact",32032,32032],[2,16,"u","(7,6,3)",91520,91520,"exact",91520,91520],[2,16,"u","(7,6,2,1)",210210,210210,"exact",210210,210210],[2,16,"u","(7,6,1,1,1)",116480,116480,"exact",116480,116480],[2,16,"u","(7,5,4)",100100,100100,"exact",100100,100100],[2,16,"u","(7,5,3,1)",416988,416988,"exact",416988,416988],[2,16,"u","(7,5,2,2)",320320,320320,"exact",320320,320320],[2,16,"u","(7,5,2,1,1)",515970,515970,"exact",515970,515970],[2,16,"u","(7,5,1,1,1,1)",200200,200200,"exact",200200,200200],[2,16,"u","(7,4,4,1)",240240,240240,"exact",240240,240240],[2,16,"u","(7,4,3,2)",512512,512512,"exact",512512,512512],[2,16,"u","(7,4,3,1,1)",673920,673920,"exact",673920,673920],[2,16,"u","(7,4,2,2,1)",698880,698880,"exact",698880,698880],[2,16,"u","(7,4,2,1,1,1)",630630,630630,"exact",630630,630630],[2,16,"u","(7,4,1,1,1,1,1)",197120,197120,"exact",197120,197120],[2,16,"u","(7,3,3,3)",140140,140140,"exact",140140,140140],[2,16,"u","(7,3,3,2,1)",582400,582400,"exact",582400,582400],[2,16,"u","(7,3,3,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"u","(7,3,2,2,2)",305760,305760,"exact",305760,305760],[2,16,"u","(7,3,2,2,1,1)",600600,600600,"exact",600600,600600],[2,16,"u","(7,3,2,1,1,1,1)",404250,404250,"exact",404250,404250],[2,16,"u","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[2,16,"u","(7,2,2,2,2,1)",168168,168168,"exact",168168,168168],[2,16,"u","(7,2,2,2,1,1,1)",197120,197120,"exact",197120,197120],[2,16,"u","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[2,16,"u","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[2,16,"u","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[2,16,"u","(6,6,4)",51480,51480,"exact",51480,51480],[2,16,"u","(6,6,3,1)",200200,200200,"exact",200200,200200],[2,16,"u","(6,6,2,2)",150150,150150,"exact",150150,150150],[2,16,"u","(6,6,2,1,1)",240240,240240,"exact",240240,240240],[2,16,"u","(6,6,1,1,1,1)",91728,91728,"exact",91728,91728],[2,16,"u","(6,5,5)",36036,36036,"exact",36036,36036],[2,16,"u","(6,5,4,1)",292864,292864,"exact",292864,292864],[2,16,"u","(6,5,3,2)",500500,500500,"exact",500500,500500],[2,16,"u","(6,5,3,1,1)",648648,648648,"exact",648648,648648],[2,16,"u","(6,5,2,2,1)",630630,630630,"exact",630630,630630],[2,16,"u","(6,5,2,1,1,1)",559104,559104,"exact",559104,559104],[2,16,"u","(6,5,1,1,1,1,1)",168168,168168,"exact",168168,168168],[2,16,"u","(6,4,4,2)",336336,336336,"exact",336336,336336],[2,16,"u","(6,4,4,1,1)",411840,411840,"exact",411840,411840],[2,16,"u","(6,4,3,3)",300300,300300,"exact",300300,300300],[2,16,"u","(6,4,3,2,1)",1153152,1153152,"exact",1153152,1153152],[2,16,"u","(6,4,3,1,1,1)",819000,819000,"exact",819000,819000],[2,16,"u","(6,4,2,2,2)",480480,480480,"exact",480480,480480],[2,16,"u","(6,4,2,2,1,1)",928746,928746,"exact",928746,928746],[2,16,"u","(6,4,2,1,1,1,1)",600600,600600,"exact",600600,600600],[2,16,"u","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[2,16,"u","(6,3,3,3,1)",360360,360360,"exact",360360,360360],[2,16,"u","(6,3,3,2,2)",448448,448448,"exact",448448,448448],[2,16,"u","(6,3,3,2,1,1)",819000,819000,"exact",819000,819000],[2,16,"u","(6,3,3,1,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"u","(6,3,2,2,2,1)",559104,559104,"exact",559104,559104],[2,16,"u","(6,3,2,2,1,1,1)",630630,630630,"exact",630630,630630],[2,16,"u","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[2,16,"u","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[2,16,"u","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[2,16,"u","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[2,16,"u","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[2,16,"u","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[2,16,"u","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[2,16,"u","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[2,16,"u","(5,5,5,1)",60060,60060,"exact",60060,60060],[2,16,"u","(5,5,4,2)",231660,231660,"exact",231660,231660],[2,16,"u","(5,5,4,1,1)",280280,280280,"exact",280280,280280],[2,16,"u","(5,5,3,3)",171600,171600,"exact",171600,171600],[2,16,"u","(5,5,3,2,1)",640640,640640,"exact",640640,640640],[2,16,"u","(5,5,3,1,1,1)",448448,448448,"exact",448448,448448],[2,16,"u","(5,5,2,2,2)",250250,250250,"exact",250250,250250],[2,16,"u","(5,5,2,2,1,1)",480480,480480,"exact",480480,480480],[2,16,"u","(5,5,2,1,1,1,1)",305760,305760,"exact",305760,305760],[2,16,"u","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[2,16,"u","(5,4,4,3)",180180,180180,"exact",180180,180180],[2,16,"u","(5,4,4,2,1)",549120,549120,"exact",549120,549120],[2,16,"u","(5,4,4,1,1,1)",360360,360360,"exact",360360,360360],[2,16,"u","(5,4,3,3,1)",549120,549120,"exact",549120,549120],[2,16,"u","(5,4,3,2,2)",640640,640640,"exact",640640,640640],[2,16,"u","(5,4,3,2,1,1)",1153152,1153152,"exact",1153152,1153152],[2,16,"u","(5,4,3,1,1,1,1)",582400,582400,"exact",582400,582400],[2,16,"u","(5,4,2,2,2,1)",630630,630630,"exact",630630,630630],[2,16,"u","(5,4,2,2,1,1,1)",698880,698880,"exact",698880,698880],[2,16,"u","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[2,16,"u","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[2,16,"u","(5,3,3,3,2)",280280,280280,"exact",280280,280280],[2,16,"u","(5,3,3,3,1,1)",411840,411840,"exact",411840,411840],[2,16,"u","(5,3,3,2,2,1)",648648,648648,"exact",648648,648648],[2,16,"u","(5,3,3,2,1,1,1)",673920,673920,"exact",673920,673920],[2,16,"u","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[2,16,"u","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[2,16,"u","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[2,16,"u","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[2,16,"u","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[2,16,"u","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[2,16,"u","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[2,16,"u","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[2,16,"u","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[2,16,"u","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[2,16,"u","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[2,16,"u","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[2,16,"u","(4,4,4,4)",24024,24024,"exact",24024,24024],[2,16,"u","(4,4,4,3,1)",180180,180180,"exact",180180,180180],[2,16,"u","(4,4,4,2,2)",171600,171600,"exact",171600,171600],[2,16,"u","(4,4,4,2,1,1)",300300,300300,"exact",300300,300300],[2,16,"u","(4,4,4,1,1,1,1)",140140,140140,"exact",140140,140140],[2,16,"u","(4,4,3,3,2)",231660,231660,"exact",231660,231660],[2,16,"u","(4,4,3,3,1,1)",336336,336336,"exact",336336,336336],[2,16,"u","(4,4,3,2,2,1)",500500,500500,"exact",500500,500500],[2,16,"u","(4,4,3,2,1,1,1)",512512,512512,"exact",512512,512512],[2,16,"u","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[2,16,"u","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[2,16,"u","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[2,16,"u","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[2,16,"u","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[2,16,"u","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[2,16,"u","(4,3,3,3,3)",60060,60060,"exact",60060,60060],[2,16,"u","(4,3,3,3,2,1)",292864,292864,"exact",292864,292864],[2,16,"u","(4,3,3,3,1,1,1)",240240,240240,"exact",240240,240240],[2,16,"u","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[2,16,"u","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[2,16,"u","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[2,16,"u","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[2,16,"u","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[2,16,"u","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[2,16,"u","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[2,16,"u","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[2,16,"u","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[2,16,"u","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[2,16,"u","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[2,16,"u","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[2,16,"u","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[2,16,"u","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[2,16,"u","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[2,16,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[2,16,"u","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[2,16,"u","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[2,16,"u","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[2,16,"u","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[2,16,"u","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[2,16,"u","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[2,16,"u","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[2,16,"u","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[2,16,"u","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[2,16,"u","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[2,16,"u","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[2,16,"u","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[2,16,"u","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[2,16,"u","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[2,16,"u","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[2,16,"u","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[2,16,"u","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[2,16,"u","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[2,16,"u","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[2,16,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[2,16,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[2,16,"u","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[2,16,"u","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[2,16,"u","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[2,16,"u","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[2,16,"u","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[2,16,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[2,16,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[2,16,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[2,16,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,17,"u","(17)",1,0,"exact",0,0],[2,17,"u","(16,1)",16,0,"exact",0,0],[2,17,"u","(15,2)",119,105,"exact",105,105],[2,17,"u","(15,1,1)",120,105,"exact",105,105],[2,17,"u","(14,3)",544,532,"exact",532,532],[2,17,"u","(14,2,1)",1105,1092,"exact",1092,1092],[2,17,"u","(14,1,1,1)",560,560,"exact",560,560],[2,17,"u","(13,4)",1700,1690,"exact",1690,1690],[2,17,"u","(13,3,1)",5236,5225,"exact",5225,5225],[2,17,"u","(13,2,2)",3536,3536,"exact",3536,3536],[2,17,"u","(13,2,1,1)",5355,5355,"exact",5355,5355],[2,17,"u","(13,1,1,1,1)",1820,1820,"exact",1820,1820],[2,17,"u","(12,5)",3808,3800,"exact",3800,3800],[2,17,"u","(12,4,1)",15912,15903,"exact",15903,15903],[2,17,"u","(12,3,2)",20400,20400,"exact",20400,20400],[2,17,"u","(12,3,1,1)",24752,24752,"exact",24752,24752],[2,17,"u","(12,2,2,1)",20944,20944,"exact",20944,20944],[2,17,"u","(12,2,1,1,1)",17017,17017,"exact",17017,17017],[2,17,"u","(12,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,17,"u","(11,6)",6188,6182,"exact",6182,6182],[2,17,"u","(11,5,1)",33320,33313,"exact",33313,33313],[2,17,"u","(11,4,2)",62832,62832,"exact",62832,62832],[2,17,"u","(11,4,1,1)",70720,70720,"exact",70720,70720],[2,17,"u","(11,3,3)",35700,35700,"exact",35700,35700],[2,17,"u","(11,3,2,1)",116688,116688,"exact",116688,116688],[2,17,"u","(11,3,1,1,1)",74256,74256,"exact",74256,74256],[2,17,"u","(11,2,2,2)",37400,37400,"exact",37400,37400],[2,17,"u","(11,2,2,1,1)",68068,68068,"exact",68068,68068],[2,17,"u","(11,2,1,1,1,1)",38675,38675,"exact",38675,38675],[2,17,"u","(11,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[2,17,"u","(10,7)",7072,7068,"exact",7068,7068],[2,17,"u","(10,6,1)",48620,48615,"exact",48615,48615],[2,17,"u","(10,5,2)",123760,123760,"exact",123760,123760],[2,17,"u","(10,5,1,1)",134640,134640,"exact",134640,134640],[2,17,"u","(10,4,3)",129948,129948,"exact",129948,129948],[2,17,"u","(10,4,2,1)",333200,333200,"exact",333200,333200],[2,17,"u","(10,4,1,1,1)",194480,194480,"exact",194480,194480],[2,17,"u","(10,3,3,1)",205632,205632,"exact",205632,205632],[2,17,"u","(10,3,2,2)",209440,209440,"exact",209440,209440],[2,17,"u","(10,3,2,1,1)",353600,353600,"exact",353600,353600],[2,17,"u","(10,3,1,1,1,1)",155584,155584,"exact",155584,155584],[2,17,"u","(10,2,2,2,1)",145860,145860,"exact",145860,145860],[2,17,"u","(10,2,2,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"u","(10,2,1,1,1,1,1)",65637,65637,"exact",65637,65637],[2,17,"u","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[2,17,"u","(9,8)",4862,4860,"exact",4860,4860],[2,17,"u","(9,7,1)",46410,46407,"exact",46407,46407],[2,17,"u","(9,6,2)",159120,159120,"exact",159120,159120],[2,17,"u","(9,6,1,1)",170170,170170,"exact",170170,170170],[2,17,"u","(9,5,3)",247520,247520,"exact",247520,247520],[2,17,"u","(9,5,2,1)",583440,583440,"exact",583440,583440],[2,17,"u","(9,5,1,1,1)",327250,327250,"exact",327250,327250],[2,17,"u","(9,4,4)",129948,129948,"exact",129948,129948],[2,17,"u","(9,4,3,1)",680680,680680,"exact",680680,680680],[2,17,"u","(9,4,2,2)",556920,556920,"exact",556920,556920],[2,17,"u","(9,4,2,1,1)",908820,908820,"exact",908820,908820],[2,17,"u","(9,4,1,1,1,1)",364650,364650,"exact",364650,364650],[2,17,"u","(9,3,3,2)",433160,433160,"exact",433160,433160],[2,17,"u","(9,3,3,1,1)",586432,586432,"exact",586432,586432],[2,17,"u","(9,3,2,2,1)",749700,749700,"exact",749700,749700],[2,17,"u","(9,3,2,1,1,1)",700128,700128,"exact",700128,700128],[2,17,"u","(9,3,1,1,1,1,1)",238238,238238,"exact",238238,238238],[2,17,"u","(9,2,2,2,2)",157080,157080,"exact",157080,157080],[2,17,"u","(9,2,2,2,1,1)",318240,318240,"exact",318240,318240],[2,17,"u","(9,2,2,1,1,1,1)",233376,233376,"exact",233376,233376],[2,17,"u","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[2,17,"u","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[2,17,"u","(8,8,1)",19448,19447,"exact",19447,19447],[2,17,"u","(8,7,2)",116688,116688,"exact",116688,116688],[2,17,"u","(8,7,1,1)",123760,123760,"exact",123760,123760],[2,17,"u","(8,6,3)",272272,272272,"exact",272272,272272],[2,17,"u","(8,6,2,1)",618800,618800,"exact",618800,618800],[2,17,"u","(8,6,1,1,1)",340340,340340,"exact",340340,340340],[2,17,"u","(8,5,4)",272272,272272,"exact",272272,272272],[2,17,"u","(8,5,3,1)",1113840,1113840,"exact",1113840,1113840],[2,17,"u","(8,5,2,2)",848640,848640,"exact",848640,848640],[2,17,"u","(8,5,2,1,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(8,5,1,1,1,1)",523600,523600,"exact",523600,523600],[2,17,"u","(8,4,4,1)",618800,618800,"exact",618800,618800],[2,17,"u","(8,4,3,2)",1299480,1299480,"exact",1299480,1299480],[2,17,"u","(8,4,3,1,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"u","(8,4,2,2,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"u","(8,4,2,1,1,1)",1570800,1570800,"exact",1570800,1570800],[2,17,"u","(8,4,1,1,1,1,1)",486200,486200,"exact",486200,486200],[2,17,"u","(8,3,3,3)",346528,346528,"exact",346528,346528],[2,17,"u","(8,3,3,2,1)",1429428,1429428,"exact",1429428,1429428],[2,17,"u","(8,3,3,1,1,1)",1047200,1047200,"exact",1047200,1047200],[2,17,"u","(8,3,2,2,2)",742560,742560,"exact",742560,742560],[2,17,"u","(8,3,2,2,1,1)",1454112,1454112,"exact",1454112,1454112],[2,17,"u","(8,3,2,1,1,1,1)",972400,972400,"exact",972400,972400],[2,17,"u","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"u","(8,2,2,2,2,1)",399840,399840,"exact",399840,399840],[2,17,"u","(8,2,2,2,1,1,1)",466752,466752,"exact",466752,466752],[2,17,"u","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"u","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[2,17,"u","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[2,17,"u","(7,7,3)",121550,121550,"exact",121550,121550],[2,17,"u","(7,7,2,1)",272272,272272,"exact",272272,272272],[2,17,"u","(7,7,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"u","(7,6,4)",243100,243100,"exact",243100,243100],[2,17,"u","(7,6,3,1)",918918,918918,"exact",918918,918918],[2,17,"u","(7,6,2,2)",680680,680680,"exact",680680,680680],[2,17,"u","(7,6,2,1,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"u","(7,6,1,1,1,1)",408408,408408,"exact",408408,408408],[2,17,"u","(7,5,5)",136136,136136,"exact",136136,136136],[2,17,"u","(7,5,4,1)",1050192,1050192,"exact",1050192,1050192],[2,17,"u","(7,5,3,2)",1750320,1750320,"exact",1750320,1750320],[2,17,"u","(7,5,3,1,1)",2255526,2255526,"exact",2255526,2255526],[2,17,"u","(7,5,2,2,1)",2165800,2165800,"exact",2165800,2165800],[2,17,"u","(7,5,2,1,1,1)",1905904,1905904,"exact",1905904,1905904],[2,17,"u","(7,5,1,1,1,1,1)",565488,565488,"exact",565488,565488],[2,17,"u","(7,4,4,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"u","(7,4,4,1,1)",1326000,1326000,"exact",1326000,1326000],[2,17,"u","(7,4,3,3)",952952,952952,"exact",952952,952952],[2,17,"u","(7,4,3,2,1)",3620864,3620864,"exact",3620864,3620864],[2,17,"u","(7,4,3,1,1,1)",2552550,2552550,"exact",2552550,2552550],[2,17,"u","(7,4,2,2,2)",1485120,1485120,"exact",1485120,1485120],[2,17,"u","(7,4,2,2,1,1)",2858856,2858856,"exact",2858856,2858856],[2,17,"u","(7,4,2,1,1,1,1)",1832600,1832600,"exact",1832600,1832600],[2,17,"u","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[2,17,"u","(7,3,3,3,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"u","(7,3,3,2,2)",1336608,1336608,"exact",1336608,1336608],[2,17,"u","(7,3,3,2,1,1)",2431000,2431000,"exact",2431000,2431000],[2,17,"u","(7,3,3,1,1,1,1)",1262250,1262250,"exact",1262250,1262250],[2,17,"u","(7,3,2,2,2,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"u","(7,3,2,2,1,1,1)",1832600,1832600,"exact",1832600,1832600],[2,17,"u","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[2,17,"u","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[2,17,"u","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[2,17,"u","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[2,17,"u","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[2,17,"u","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[2,17,"u","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[2,17,"u","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[2,17,"u","(6,6,5)",87516,87516,"exact",87516,87516],[2,17,"u","(6,6,4,1)",544544,544544,"exact",544544,544544],[2,17,"u","(6,6,3,2)",850850,850850,"exact",850850,850850],[2,17,"u","(6,6,3,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"u","(6,6,2,2,1)",1021020,1021020,"exact",1021020,1021020],[2,17,"u","(6,6,2,1,1,1)",891072,891072,"exact",891072,891072],[2,17,"u","(6,6,1,1,1,1,1)",259896,259896,"exact",259896,259896],[2,17,"u","(6,5,5,1)",388960,388960,"exact",388960,388960],[2,17,"u","(6,5,4,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(6,5,4,1,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"u","(6,5,3,3)",972400,972400,"exact",972400,972400],[2,17,"u","(6,5,3,2,1)",3573570,3573570,"exact",3573570,3573570],[2,17,"u","(6,5,3,1,1,1)",2475200,2475200,"exact",2475200,2475200],[2,17,"u","(6,5,2,2,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(6,5,2,2,1,1)",2598960,2598960,"exact",2598960,2598960],[2,17,"u","(6,5,2,1,1,1,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"u","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[2,17,"u","(6,4,4,3)",816816,816816,"exact",816816,816816],[2,17,"u","(6,4,4,2,1)",2450448,2450448,"exact",2450448,2450448],[2,17,"u","(6,4,4,1,1,1)",1591200,1591200,"exact",1591200,1591200],[2,17,"u","(6,4,3,3,1)",2362932,2362932,"exact",2362932,2362932],[2,17,"u","(6,4,3,2,2)",2722720,2722720,"exact",2722720,2722720],[2,17,"u","(6,4,3,2,1,1)",4873050,4873050,"exact",4873050,4873050],[2,17,"u","(6,4,3,1,1,1,1)",2431000,2431000,"exact",2431000,2431000],[2,17,"u","(6,4,2,2,2,1)",2598960,2598960,"exact",2598960,2598960],[2,17,"u","(6,4,2,2,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,17,"u","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[2,17,"u","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[2,17,"u","(6,3,3,3,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"u","(6,3,3,3,1,1)",1591200,1591200,"exact",1591200,1591200],[2,17,"u","(6,3,3,2,2,1)",2475200,2475200,"exact",2475200,2475200],[2,17,"u","(6,3,3,2,1,1,1)",2552550,2552550,"exact",2552550,2552550],[2,17,"u","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[2,17,"u","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[2,17,"u","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[2,17,"u","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[2,17,"u","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[2,17,"u","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[2,17,"u","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[2,17,"u","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[2,17,"u","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[2,17,"u","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[2,17,"u","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[2,17,"u","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[2,17,"u","(5,5,5,2)",291720,291720,"exact",291720,291720],[2,17,"u","(5,5,5,1,1)",340340,340340,"exact",340340,340340],[2,17,"u","(5,5,4,3)",583440,583440,"exact",583440,583440],[2,17,"u","(5,5,4,2,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"u","(5,5,4,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"u","(5,5,3,3,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(5,5,3,2,2)",1531530,1531530,"exact",1531530,1531530],[2,17,"u","(5,5,3,2,1,1)",2722720,2722720,"exact",2722720,2722720],[2,17,"u","(5,5,3,1,1,1,1)",1336608,1336608,"exact",1336608,1336608],[2,17,"u","(5,5,2,2,2,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(5,5,2,2,1,1,1)",1485120,1485120,"exact",1485120,1485120],[2,17,"u","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[2,17,"u","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[2,17,"u","(5,4,4,4)",204204,204204,"exact",204204,204204],[2,17,"u","(5,4,4,3,1)",1458600,1458600,"exact",1458600,1458600],[2,17,"u","(5,4,4,2,2)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(5,4,4,2,1,1)",2362932,2362932,"exact",2362932,2362932],[2,17,"u","(5,4,4,1,1,1,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"u","(5,4,3,3,2)",1701700,1701700,"exact",1701700,1701700],[2,17,"u","(5,4,3,3,1,1)",2450448,2450448,"exact",2450448,2450448],[2,17,"u","(5,4,3,2,2,1)",3573570,3573570,"exact",3573570,3573570],[2,17,"u","(5,4,3,2,1,1,1)",3620864,3620864,"exact",3620864,3620864],[2,17,"u","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,17,"u","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[2,17,"u","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[2,17,"u","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"u","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[2,17,"u","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[2,17,"u","(5,3,3,3,3)",340340,340340,"exact",340340,340340],[2,17,"u","(5,3,3,3,2,1)",1633632,1633632,"exact",1633632,1633632],[2,17,"u","(5,3,3,3,1,1,1)",1326000,1326000,"exact",1326000,1326000],[2,17,"u","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[2,17,"u","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[2,17,"u","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[2,17,"u","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[2,17,"u","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[2,17,"u","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[2,17,"u","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[2,17,"u","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[2,17,"u","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[2,17,"u","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[2,17,"u","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[2,17,"u","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[2,17,"u","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[2,17,"u","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[2,17,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[2,17,"u","(4,4,4,4,1)",204204,204204,"exact",204204,204204],[2,17,"u","(4,4,4,3,2)",583440,583440,"exact",583440,583440],[2,17,"u","(4,4,4,3,1,1)",816816,816816,"exact",816816,816816],[2,17,"u","(4,4,4,2,2,1)",972400,972400,"exact",972400,972400],[2,17,"u","(4,4,4,2,1,1,1)",952952,952952,"exact",952952,952952],[2,17,"u","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[2,17,"u","(4,4,3,3,3)",291720,291720,"exact",291720,291720],[2,17,"u","(4,4,3,3,2,1)",1361360,1361360,"exact",1361360,1361360],[2,17,"u","(4,4,3,3,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,17,"u","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[2,17,"u","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[2,17,"u","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[2,17,"u","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[2,17,"u","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[2,17,"u","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[2,17,"u","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[2,17,"u","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[2,17,"u","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[2,17,"u","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[2,17,"u","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[2,17,"u","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[2,17,"u","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[2,17,"u","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[2,17,"u","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[2,17,"u","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[2,17,"u","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[2,17,"u","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[2,17,"u","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[2,17,"u","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[2,17,"u","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[2,17,"u","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[2,17,"u","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[2,17,"u","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[2,17,"u","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[2,17,"u","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[2,17,"u","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[2,17,"u","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[2,17,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[2,17,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[2,17,"u","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[2,17,"u","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[2,17,"u","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[2,17,"u","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[2,17,"u","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[2,17,"u","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[2,17,"u","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[2,17,"u","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[2,17,"u","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[2,17,"u","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[2,17,"u","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[2,17,"u","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[2,17,"u","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[2,17,"u","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[2,17,"u","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[2,17,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[2,17,"u","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[2,17,"u","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[2,17,"u","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[2,17,"u","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[2,17,"u","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[2,17,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[2,17,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[2,17,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[2,17,"u","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[2,17,"u","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[2,17,"u","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,17,"u","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[2,17,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[2,17,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[2,17,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[2,17,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[2,17,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,18,"u","(18)",1,0,"exact",0,0],[2,18,"u","(17,1)",17,0,"exact",0,0],[2,18,"u","(16,2)",135,120,"exact",120,120],[2,18,"u","(16,1,1)",136,120,"exact",120,120],[2,18,"u","(15,3)",663,650,"exact",650,650],[2,18,"u","(15,2,1)",1344,1330,"exact",1330,1330],[2,18,"u","(15,1,1,1)",680,680,"exact",680,680],[2,18,"u","(14,4)",2244,2233,"exact",2233,2233],[2,18,"u","(14,3,1)",6885,6873,"exact",6873,6873],[2,18,"u","(14,2,2)",4641,4641,"exact",4641,4641],[2,18,"u","(14,2,1,1)",7020,7020,"exact",7020,7020],[2,18,"u","(14,1,1,1,1)",2380,2380,"exact",2380,2380],[2,18,"u","(13,5)",5508,5499,"exact",5499,5499],[2,18,"u","(13,4,1)",22848,22838,"exact",22838,22838],[2,18,"u","(13,3,2)",29172,29172,"exact",29172,29172],[2,18,"u","(13,3,1,1)",35343,35343,"exact",35343,35343],[2,18,"u","(13,2,2,1)",29835,29835,"exact",29835,29835],[2,18,"u","(13,2,1,1,1)",24192,24192,"exact",24192,24192],[2,18,"u","(13,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,18,"u","(12,6)",9996,9989,"exact",9989,9989],[2,18,"u","(12,5,1)",53040,53032,"exact",53032,53032],[2,18,"u","(12,4,2)",99144,99144,"exact",99144,99144],[2,18,"u","(12,4,1,1)",111384,111384,"exact",111384,111384],[2,18,"u","(12,3,3)",56100,56100,"exact",56100,56100],[2,18,"u","(12,3,2,1)",182784,182784,"exact",182784,182784],[2,18,"u","(12,3,1,1,1)",116025,116025,"exact",116025,116025],[2,18,"u","(12,2,2,2)",58344,58344,"exact",58344,58344],[2,18,"u","(12,2,2,1,1)",106029,106029,"exact",106029,106029],[2,18,"u","(12,2,1,1,1,1)",60060,60060,"exact",60060,60060],[2,18,"u","(12,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[2,18,"u","(11,7)",13260,13255,"exact",13255,13255],[2,18,"u","(11,6,1)",88128,88122,"exact",88122,88122],[2,18,"u","(11,5,2)",219912,219912,"exact",219912,219912],[2,18,"u","(11,5,1,1)",238680,238680,"exact",238680,238680],[2,18,"u","(11,4,3)",228480,228480,"exact",228480,228480],[2,18,"u","(11,4,2,1)",583440,583440,"exact",583440,583440],[2,18,"u","(11,4,1,1,1)",339456,339456,"exact",339456,339456],[2,18,"u","(11,3,3,1)",358020,358020,"exact",358020,358020],[2,18,"u","(11,3,2,2)",363528,363528,"exact",363528,363528],[2,18,"u","(11,3,2,1,1)",612612,612612,"exact",612612,612612],[2,18,"u","(11,3,1,1,1,1)",268515,268515,"exact",268515,268515],[2,18,"u","(11,2,2,2,1)",251328,251328,"exact",251328,251328],[2,18,"u","(11,2,2,1,1,1)",255255,255255,"exact",255255,255255],[2,18,"u","(11,2,1,1,1,1,1)",112320,112320,"exact",112320,112320],[2,18,"u","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[2,18,"u","(10,8)",11934,11931,"exact",11931,11931],[2,18,"u","(10,7,1)",102102,102098,"exact",102098,102098],[2,18,"u","(10,6,2)",331500,331500,"exact",331500,331500],[2,18,"u","(10,6,1,1)",353430,353430,"exact",353430,353430],[2,18,"u","(10,5,3)",501228,501228,"exact",501228,501228],[2,18,"u","(10,5,2,1)",1175040,1175040,"exact",1175040,1175040],[2,18,"u","(10,5,1,1,1)",656370,656370,"exact",656370,656370],[2,18,"u","(10,4,4)",259896,259896,"exact",259896,259896],[2,18,"u","(10,4,3,1)",1349460,1349460,"exact",1349460,1349460],[2,18,"u","(10,4,2,2)",1099560,1099560,"exact",1099560,1099560],[2,18,"u","(10,4,2,1,1)",1790100,1790100,"exact",1790100,1790100],[2,18,"u","(10,4,1,1,1,1)",714714,714714,"exact",714714,714714],[2,18,"u","(10,3,3,2)",848232,848232,"exact",848232,848232],[2,18,"u","(10,3,3,1,1)",1145664,1145664,"exact",1145664,1145664],[2,18,"u","(10,3,2,2,1)",1458600,1458600,"exact",1458600,1458600],[2,18,"u","(10,3,2,1,1,1)",1357824,1357824,"exact",1357824,1357824],[2,18,"u","(10,3,1,1,1,1,1)",459459,459459,"exact",459459,459459],[2,18,"u","(10,2,2,2,2)",302940,302940,"exact",302940,302940],[2,18,"u","(10,2,2,2,1,1)",612612,612612,"exact",612612,612612],[2,18,"u","(10,2,2,1,1,1,1)",447525,447525,"exact",447525,447525],[2,18,"u","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[2,18,"u","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[2,18,"u","(9,9)",4862,4861,"exact",4861,4861],[2,18,"u","(9,8,1)",70720,70718,"exact",70718,70718],[2,18,"u","(9,7,2)",322218,322218,"exact",322218,322218],[2,18,"u","(9,7,1,1)",340340,340340,"exact",340340,340340],[2,18,"u","(9,6,3)",678912,678912,"exact",678912,678912],[2,18,"u","(9,6,2,1)",1531530,1531530,"exact",1531530,1531530],[2,18,"u","(9,6,1,1,1)",837760,837760,"exact",837760,837760],[2,18,"u","(9,5,4)",649740,649740,"exact",649740,649740],[2,18,"u","(9,5,3,1)",2625480,2625480,"exact",2625480,2625480],[2,18,"u","(9,5,2,2)",1989000,1989000,"exact",1989000,1989000],[2,18,"u","(9,5,2,1,1)",3180870,3180870,"exact",3180870,3180870],[2,18,"u","(9,5,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[2,18,"u","(9,4,4,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"u","(9,4,3,2)",2970240,2970240,"exact",2970240,2970240],[2,18,"u","(9,4,3,1,1)",3877632,3877632,"exact",3877632,3877632],[2,18,"u","(9,4,2,2,1)",3965760,3965760,"exact",3965760,3965760],[2,18,"u","(9,4,2,1,1,1)",3544398,3544398,"exact",3544398,3544398],[2,18,"u","(9,4,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,18,"u","(9,3,3,3)",779688,779688,"exact",779688,779688],[2,18,"u","(9,3,3,2,1)",3198720,3198720,"exact",3198720,3198720],[2,18,"u","(9,3,3,1,1,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"u","(9,3,2,2,2)",1649340,1649340,"exact",1649340,1649340],[2,18,"u","(9,3,2,2,1,1)",3222180,3222180,"exact",3222180,3222180],[2,18,"u","(9,3,2,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[2,18,"u","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[2,18,"u","(9,2,2,2,2,1)",875160,875160,"exact",875160,875160],[2,18,"u","(9,2,2,2,1,1,1)",1018368,1018368,"exact",1018368,1018368],[2,18,"u","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[2,18,"u","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[2,18,"u","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[2,18,"u","(8,8,2)",136136,136136,"exact",136136,136136],[2,18,"u","(8,8,1,1)",143208,143208,"exact",143208,143208],[2,18,"u","(8,7,3)",510510,510510,"exact",510510,510510],[2,18,"u","(8,7,2,1)",1131520,1131520,"exact",1131520,1131520],[2,18,"u","(8,7,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"u","(8,6,4)",787644,787644,"exact",787644,787644],[2,18,"u","(8,6,3,1)",2923830,2923830,"exact",2923830,2923830],[2,18,"u","(8,6,2,2)",2148120,2148120,"exact",2148120,2148120],[2,18,"u","(8,6,2,1,1)",3403400,3403400,"exact",3403400,3403400],[2,18,"u","(8,6,1,1,1,1)",1272348,1272348,"exact",1272348,1272348],[2,18,"u","(8,5,5)",408408,408408,"exact",408408,408408],[2,18,"u","(8,5,4,1)",3055104,3055104,"exact",3055104,3055104],[2,18,"u","(8,5,3,2)",5012280,5012280,"exact",5012280,5012280],[2,18,"u","(8,5,3,1,1)",6432426,6432426,"exact",6432426,6432426],[2,18,"u","(8,5,2,2,1)",6126120,6126120,"exact",6126120,6126120],[2,18,"u","(8,5,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[2,18,"u","(8,5,1,1,1,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"u","(8,4,4,2)",3007368,3007368,"exact",3007368,3007368],[2,18,"u","(8,4,4,1,1)",3646500,3646500,"exact",3646500,3646500],[2,18,"u","(8,4,3,3)",2598960,2598960,"exact",2598960,2598960],[2,18,"u","(8,4,3,2,1)",9801792,9801792,"exact",9801792,9801792],[2,18,"u","(8,4,3,1,1,1)",6872250,6872250,"exact",6872250,6872250],[2,18,"u","(8,4,2,2,2)",3978000,3978000,"exact",3978000,3978000],[2,18,"u","(8,4,2,2,1,1)",7634088,7634088,"exact",7634088,7634088],[2,18,"u","(8,4,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[2,18,"u","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[2,18,"u","(8,3,3,3,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"u","(8,3,3,2,2)",3508596,3508596,"exact",3508596,3508596],[2,18,"u","(8,3,3,2,1,1)",6361740,6361740,"exact",6361740,6361740],[2,18,"u","(8,3,3,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[2,18,"u","(8,3,2,2,2,1)",4230144,4230144,"exact",4230144,4230144],[2,18,"u","(8,3,2,2,1,1,1)",4725864,4725864,"exact",4725864,4725864],[2,18,"u","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[2,18,"u","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[2,18,"u","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[2,18,"u","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[2,18,"u","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[2,18,"u","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[2,18,"u","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[2,18,"u","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[2,18,"u","(7,7,4)",364650,364650,"exact",364650,364650],[2,18,"u","(7,7,3,1)",1312740,1312740,"exact",1312740,1312740],[2,18,"u","(7,7,2,2)",952952,952952,"exact",952952,952952],[2,18,"u","(7,7,2,1,1)",1503684,1503684,"exact",1503684,1503684],[2,18,"u","(7,7,1,1,1,1)",556920,556920,"exact",556920,556920],[2,18,"u","(7,6,5)",466752,466752,"exact",466752,466752],[2,18,"u","(7,6,4,1)",2756754,2756754,"exact",2756754,2756754],[2,18,"u","(7,6,3,2)",4200768,4200768,"exact",4200768,4200768],[2,18,"u","(7,6,3,1,1)",5346432,5346432,"exact",5346432,5346432],[2,18,"u","(7,6,2,2,1)",4950400,4950400,"exact",4950400,4950400],[2,18,"u","(7,6,2,1,1,1)",4288284,4288284,"exact",4288284,4288284],[2,18,"u","(7,6,1,1,1,1,1)",1233792,1233792,"exact",1233792,1233792],[2,18,"u","(7,5,5,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"u","(7,5,4,2)",5250960,5250960,"exact",5250960,5250960],[2,18,"u","(7,5,4,1,1)",6265350,6265350,"exact",6265350,6265350],[2,18,"u","(7,5,3,3)",3675672,3675672,"exact",3675672,3675672],[2,18,"u","(7,5,3,2,1)",13366080,13366080,"exact",13366080,13366080],[2,18,"u","(7,5,3,1,1,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"u","(7,5,2,2,2)",5012280,5012280,"exact",5012280,5012280],[2,18,"u","(7,5,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[2,18,"u","(7,5,2,1,1,1,1)",5937624,5937624,"exact",5937624,5937624],[2,18,"u","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[2,18,"u","(7,4,4,3)",2858856,2858856,"exact",2858856,2858856],[2,18,"u","(7,4,4,2,1)",8486400,8486400,"exact",8486400,8486400],[2,18,"u","(7,4,4,1,1,1)",5469750,5469750,"exact",5469750,5469750],[2,18,"u","(7,4,3,3,1)",8019648,8019648,"exact",8019648,8019648],[2,18,"u","(7,4,3,2,2)",9165312,9165312,"exact",9165312,9165312],[2,18,"u","(7,4,3,2,1,1)",16336320,16336320,"exact",16336320,16336320],[2,18,"u","(7,4,3,1,1,1,1)",8078400,8078400,"exact",8078400,8078400],[2,18,"u","(7,4,2,2,2,1)",8576568,8576568,"exact",8576568,8576568],[2,18,"u","(7,4,2,2,1,1,1)",9382912,9382912,"exact",9382912,9382912],[2,18,"u","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[2,18,"u","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[2,18,"u","(7,3,3,3,2)",3508596,3508596,"exact",3508596,3508596],[2,18,"u","(7,3,3,3,1,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"u","(7,3,3,2,2,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"u","(7,3,3,2,1,1,1)",8078400,8078400,"exact",8078400,8078400],[2,18,"u","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[2,18,"u","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[2,18,"u","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[2,18,"u","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[2,18,"u","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[2,18,"u","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[2,18,"u","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[2,18,"u","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"u","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[2,18,"u","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[2,18,"u","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[2,18,"u","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[2,18,"u","(6,6,6)",87516,87516,"exact",87516,87516],[2,18,"u","(6,6,5,1)",1021020,1021020,"exact",1021020,1021020],[2,18,"u","(6,6,4,2)",2756754,2756754,"exact",2756754,2756754],[2,18,"u","(6,6,4,1,1)",3267264,3267264,"exact",3267264,3267264],[2,18,"u","(6,6,3,3)",1823250,1823250,"exact",1823250,1823250],[2,18,"u","(6,6,3,2,1)",6534528,6534528,"exact",6534528,6534528],[2,18,"u","(6,6,3,1,1,1)",4455360,4455360,"exact",4455360,4455360],[2,18,"u","(6,6,2,2,2)",2382380,2382380,"exact",2382380,2382380],[2,18,"u","(6,6,2,2,1,1)",4511052,4511052,"exact",4511052,4511052],[2,18,"u","(6,6,2,1,1,1,1)",2784600,2784600,"exact",2784600,2784600],[2,18,"u","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[2,18,"u","(6,5,5,2)",2042040,2042040,"exact",2042040,2042040],[2,18,"u","(6,5,5,1,1)",2362932,2362932,"exact",2362932,2362932],[2,18,"u","(6,5,4,3)",3734016,3734016,"exact",3734016,3734016],[2,18,"u","(6,5,4,2,1)",10720710,10720710,"exact",10720710,10720710],[2,18,"u","(6,5,4,1,1,1)",6789120,6789120,"exact",6789120,6789120],[2,18,"u","(6,5,3,3,1)",8270262,8270262,"exact",8270262,8270262],[2,18,"u","(6,5,3,2,2)",9189180,9189180,"exact",9189180,9189180],[2,18,"u","(6,5,3,2,1,1)",16243500,16243500,"exact",16243500,16243500],[2,18,"u","(6,5,3,1,1,1,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"u","(6,5,2,2,2,1)",7920640,7920640,"exact",7920640,7920640],[2,18,"u","(6,5,2,2,1,1,1)",8576568,8576568,"exact",8576568,8576568],[2,18,"u","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[2,18,"u","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[2,18,"u","(6,4,4,4)",1021020,1021020,"exact",1021020,1021020],[2,18,"u","(6,4,4,3,1)",7088796,7088796,"exact",7088796,7088796],[2,18,"u","(6,4,4,2,2)",6534528,6534528,"exact",6534528,6534528],[2,18,"u","(6,4,4,2,1,1)",11277630,11277630,"exact",11277630,11277630],[2,18,"u","(6,4,4,1,1,1,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"u","(6,4,3,3,2)",7876440,7876440,"exact",7876440,7876440],[2,18,"u","(6,4,3,3,1,1)",11277630,11277630,"exact",11277630,11277630],[2,18,"u","(6,4,3,2,2,1)",16243500,16243500,"exact",16243500,16243500],[2,18,"u","(6,4,3,2,1,1,1)",16336320,16336320,"exact",16336320,16336320],[2,18,"u","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[2,18,"u","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[2,18,"u","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[2,18,"u","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[2,18,"u","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[2,18,"u","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"u","(6,3,3,3,3)",1429428,1429428,"exact",1429428,1429428],[2,18,"u","(6,3,3,3,2,1)",6789120,6789120,"exact",6789120,6789120],[2,18,"u","(6,3,3,3,1,1,1)",5469750,5469750,"exact",5469750,5469750],[2,18,"u","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[2,18,"u","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"u","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[2,18,"u","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"u","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[2,18,"u","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[2,18,"u","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[2,18,"u","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[2,18,"u","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[2,18,"u","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[2,18,"u","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[2,18,"u","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[2,18,"u","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[2,18,"u","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[2,18,"u","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[2,18,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[2,18,"u","(5,5,5,3)",875160,875160,"exact",875160,875160],[2,18,"u","(5,5,5,2,1)",2333760,2333760,"exact",2333760,2333760],[2,18,"u","(5,5,5,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"u","(5,5,4,4)",787644,787644,"exact",787644,787644],[2,18,"u","(5,5,4,3,1)",5105100,5105100,"exact",5105100,5105100],[2,18,"u","(5,5,4,2,2)",4594590,4594590,"exact",4594590,4594590],[2,18,"u","(5,5,4,2,1,1)",7876440,7876440,"exact",7876440,7876440],[2,18,"u","(5,5,4,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[2,18,"u","(5,5,3,3,2)",4594590,4594590,"exact",4594590,4594590],[2,18,"u","(5,5,3,3,1,1)",6534528,6534528,"exact",6534528,6534528],[2,18,"u","(5,5,3,2,2,1)",9189180,9189180,"exact",9189180,9189180],[2,18,"u","(5,5,3,2,1,1,1)",9165312,9165312,"exact",9165312,9165312],[2,18,"u","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[2,18,"u","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[2,18,"u","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[2,18,"u","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[2,18,"u","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[2,18,"u","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[2,18,"u","(5,4,4,4,1)",1867008,1867008,"exact",1867008,1867008],[2,18,"u","(5,4,4,3,2)",5105100,5105100,"exact",5105100,5105100],[2,18,"u","(5,4,4,3,1,1)",7088796,7088796,"exact",7088796,7088796],[2,18,"u","(5,4,4,2,2,1)",8270262,8270262,"exact",8270262,8270262],[2,18,"u","(5,4,4,2,1,1,1)",8019648,8019648,"exact",8019648,8019648],[2,18,"u","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"u","(5,4,3,3,3)",2333760,2333760,"exact",2333760,2333760],[2,18,"u","(5,4,3,3,2,1)",10720710,10720710,"exact",10720710,10720710],[2,18,"u","(5,4,3,3,1,1,1)",8486400,8486400,"exact",8486400,8486400],[2,18,"u","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[2,18,"u","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[2,18,"u","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[2,18,"u","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[2,18,"u","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[2,18,"u","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[2,18,"u","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[2,18,"u","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[2,18,"u","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[2,18,"u","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[2,18,"u","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[2,18,"u","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[2,18,"u","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[2,18,"u","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[2,18,"u","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[2,18,"u","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[2,18,"u","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[2,18,"u","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[2,18,"u","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[2,18,"u","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[2,18,"u","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[2,18,"u","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[2,18,"u","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[2,18,"u","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[2,18,"u","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[2,18,"u","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[2,18,"u","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[2,18,"u","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[2,18,"u","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[2,18,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[2,18,"u","(4,4,4,4,2)",787644,787644,"exact",787644,787644],[2,18,"u","(4,4,4,4,1,1)",1021020,1021020,"exact",1021020,1021020],[2,18,"u","(4,4,4,3,3)",875160,875160,"exact",875160,875160],[2,18,"u","(4,4,4,3,2,1)",3734016,3734016,"exact",3734016,3734016],[2,18,"u","(4,4,4,3,1,1,1)",2858856,2858856,"exact",2858856,2858856],[2,18,"u","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[2,18,"u","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[2,18,"u","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[2,18,"u","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[2,18,"u","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[2,18,"u","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[2,18,"u","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[2,18,"u","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[2,18,"u","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[2,18,"u","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[2,18,"u","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[2,18,"u","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[2,18,"u","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[2,18,"u","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[2,18,"u","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[2,18,"u","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[2,18,"u","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[2,18,"u","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[2,18,"u","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[2,18,"u","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[2,18,"u","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[2,18,"u","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[2,18,"u","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[2,18,"u","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[2,18,"u","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[2,18,"u","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[2,18,"u","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[2,18,"u","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[2,18,"u","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[2,18,"u","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[2,18,"u","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[2,18,"u","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[2,18,"u","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[2,18,"u","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[2,18,"u","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[2,18,"u","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[2,18,"u","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[2,18,"u","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[2,18,"u","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[2,18,"u","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[2,18,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[2,18,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[2,18,"u","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[2,18,"u","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[2,18,"u","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[2,18,"u","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[2,18,"u","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[2,18,"u","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[2,18,"u","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[2,18,"u","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[2,18,"u","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[2,18,"u","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[2,18,"u","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[2,18,"u","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[2,18,"u","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[2,18,"u","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[2,18,"u","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[2,18,"u","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[2,18,"u","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[2,18,"u","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[2,18,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[2,18,"u","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[2,18,"u","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[2,18,"u","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[2,18,"u","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[2,18,"u","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[2,18,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[2,18,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[2,18,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[2,18,"u","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[2,18,"u","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[2,18,"u","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[2,18,"u","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[2,18,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[2,18,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[2,18,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[2,18,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[2,18,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[2,18,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,19,"u","(17,2)",152,136,"exact",136,136],[2,19,"u","(17,1,1)",153,136,"exact",136,136],[2,19,"u","(16,3)",798,784,"exact",784,784],[2,19,"u","(16,2,1)",1615,1600,"exact",1600,1600],[2,19,"u","(15,4)",2907,2895,"exact",2895,2895],[2,19,"u","(14,5)",7752,7742,"exact",7742,7742],[2,19,"u","(15,3,1)",8892,8879,"exact",8879,8879],[2,19,"u","(13,6)",15504,15496,"exact",15496,15496],[2,19,"u","(10,9)",16796,16794,"exact",16794,16794],[2,19,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,19,"u","(13,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[2,19,"u","(14,1,1,1,1,1)",8568,8568,"exact",8568,8568],[2,19,"u","(15,1,1,1,1)",3060,3060,"exact",3060,3060],[2,19,"u","(15,2,1,1)",9044,9044,"exact",9044,9044],[2,19,"u","(15,2,2)",5985,5985,"exact",5985,5985],[2,19,"u","(16,1,1,1)",816,816,"exact",816,816],[2,19,"u","(18,1)",18,0,"exact",0,0],[2,19,"u","(19)",1,0,"exact",0,0],[2,19,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[2,19,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",152,152,"exact",152,152],[2,19,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",798,798,"exact",798,798],[2,19,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",2907,2907,"exact",2907,2907],[2,19,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1)",7752,7752,"exact",7752,7752],[2,19,"u","(2,2,2,2,2,2,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[2,19,"u","(2,2,2,2,2,2,2,2,2,1)",16796,16796,"exact",16796,16796],[2,19,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[2,19,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1615,1615,"exact",1615,1615],[2,19,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",8892,8892,"exact",8892,8892],[2,19,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[2,19,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",816,816,"exact",816,816],[2,19,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",9044,9044,"exact",9044,9044],[2,19,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3060,3060,"exact",3060,3060],[2,19,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1)",8568,8568,"exact",8568,8568],[2,19,"u","(7,1,1,1,1,1,1,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[2,20,"u","(18,2)",170,153,"exact",153,153],[2,20,"u","(18,1,1)",171,153,"exact",153,153],[2,20,"u","(17,3)",950,935,"exact",935,935],[2,20,"u","(17,2,1)",1920,1904,"exact",1904,1904],[2,20,"u","(16,4)",3705,3692,"exact",3692,3692],[2,20,"u","(15,5)",10659,10648,"exact",10648,10648],[2,20,"u","(16,3,1)",11305,11291,"exact",11291,11291],[2,20,"u","(10,10)",16796,16795,"exact",16795,16795],[2,20,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,20,"u","(15,1,1,1,1,1)",11628,11628,"exact",11628,11628],[2,20,"u","(16,1,1,1,1)",3876,3876,"exact",3876,3876],[2,20,"u","(16,2,1,1)",11475,11475,"exact",11475,11475],[2,20,"u","(16,2,2)",7600,7600,"exact",7600,7600],[2,20,"u","(17,1,1,1)",969,969,"exact",969,969],[2,20,"u","(19,1)",19,0,"exact",0,0],[2,20,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[2,20,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",170,170,"exact",170,170],[2,20,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",950,950,"exact",950,950],[2,20,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",3705,3705,"exact",3705,3705],[2,20,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1)",10659,10659,"exact",10659,10659],[2,20,"u","(2,2,2,2,2,2,2,2,2,2)",16796,16796,"exact",16796,16796],[2,20,"u","(20)",1,0,"exact",0,0],[2,20,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",171,171,"exact",171,171],[2,20,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1920,1920,"exact",1920,1920],[2,20,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",11305,11305,"exact",11305,11305],[2,20,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7600,7600,"exact",7600,7600],[2,20,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",969,969,"exact",969,969],[2,20,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11475,11475,"exact",11475,11475],[2,20,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3876,3876,"exact",3876,3876],[2,20,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11628,11628,"exact",11628,11628],[2,21,"u","(19,2)",189,171,"exact",171,171],[2,21,"u","(19,1,1)",190,171,"exact",171,171],[2,21,"u","(18,3)",1120,1104,"exact",1104,1104],[2,21,"u","(18,2,1)",2261,2244,"exact",2244,2244],[2,21,"u","(17,4)",4655,4641,"exact",4641,4641],[2,21,"u","(17,3,1)",14175,14160,"exact",14160,14160],[2,21,"u","(16,5)",14364,14352,"exact",14352,14352],[2,21,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,21,"u","(16,1,1,1,1,1)",15504,15504,"exact",15504,15504],[2,21,"u","(17,1,1,1,1)",4845,4845,"exact",4845,4845],[2,21,"u","(17,2,1,1)",14364,14364,"exact",14364,14364],[2,21,"u","(17,2,2)",9520,9520,"exact",9520,9520],[2,21,"u","(18,1,1,1)",1140,1140,"exact",1140,1140],[2,21,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",20,20,"exact",20,20],[2,21,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",189,189,"exact",189,189],[2,21,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1120,1120,"exact",1120,1120],[2,21,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",4655,4655,"exact",4655,4655],[2,21,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[2,21,"u","(20,1)",20,0,"exact",0,0],[2,21,"u","(21)",1,0,"exact",0,0],[2,21,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",190,190,"exact",190,190],[2,21,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2261,2261,"exact",2261,2261],[2,21,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14175,14175,"exact",14175,14175],[2,21,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",9520,9520,"exact",9520,9520],[2,21,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1140,1140,"exact",1140,1140],[2,21,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[2,21,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4845,4845,"exact",4845,4845],[2,21,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[2,22,"u","(20,2)",209,190,"exact",190,190],[2,22,"u","(20,1,1)",210,190,"exact",190,190],[2,22,"u","(19,3)",1309,1292,"exact",1292,1292],[2,22,"u","(19,2,1)",2640,2622,"exact",2622,2622],[2,22,"u","(18,4)",5775,5760,"exact",5760,5760],[2,22,"u","(18,3,1)",17556,17540,"exact",17540,17540],[2,22,"u","(17,5)",19019,19006,"exact",19006,19006],[2,22,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,22,"u","(18,1,1,1,1)",5985,5985,"exact",5985,5985],[2,22,"u","(18,2,1,1)",17765,17765,"exact",17765,17765],[2,22,"u","(18,2,2)",11781,11781,"exact",11781,11781],[2,22,"u","(19,1,1,1)",1330,1330,"exact",1330,1330],[2,22,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",21,21,"exact",21,21],[2,22,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",209,209,"exact",209,209],[2,22,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1309,1309,"exact",1309,1309],[2,22,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5775,5775,"exact",5775,5775],[2,22,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",19019,19019,"exact",19019,19019],[2,22,"u","(21,1)",21,0,"exact",0,0],[2,22,"u","(22)",1,0,"exact",0,0],[2,22,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",210,210,"exact",210,210],[2,22,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[2,22,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17556,17556,"exact",17556,17556],[2,22,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11781,11781,"exact",11781,11781],[2,22,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1330,1330,"exact",1330,1330],[2,22,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17765,17765,"exact",17765,17765],[2,22,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[2,23,"u","(21,2)",230,210,"exact",210,210],[2,23,"u","(21,1,1)",231,210,"exact",210,210],[2,23,"u","(20,3)",1518,1500,"exact",1500,1500],[2,23,"u","(20,2,1)",3059,3040,"exact",3040,3040],[2,23,"u","(19,4)",7084,7068,"exact",7068,7068],[2,23,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,23,"u","(19,1,1,1,1)",7315,7315,"exact",7315,7315],[2,23,"u","(19,2,2)",14421,14421,"exact",14421,14421],[2,23,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",22,22,"exact",22,22],[2,23,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",230,230,"exact",230,230],[2,23,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1518,1518,"exact",1518,1518],[2,23,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7084,7084,"exact",7084,7084],[2,23,"u","(20,1,1,1)",1540,1540,"exact",1540,1540],[2,23,"u","(22,1)",22,0,"exact",0,0],[2,23,"u","(23)",1,0,"exact",0,0],[2,23,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",231,231,"exact",231,231],[2,23,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3059,3059,"exact",3059,3059],[2,23,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14421,14421,"exact",14421,14421],[2,23,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1540,1540,"exact",1540,1540],[2,23,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7315,7315,"exact",7315,7315],[2,24,"u","(22,2)",252,231,"exact",231,231],[2,24,"u","(22,1,1)",253,231,"exact",231,231],[2,24,"u","(21,3)",1748,1729,"exact",1729,1729],[2,24,"u","(21,2,1)",3520,3500,"exact",3500,3500],[2,24,"u","(20,4)",8602,8585,"exact",8585,8585],[2,24,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,24,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",23,23,"exact",23,23],[2,24,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",252,252,"exact",252,252],[2,24,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1748,1748,"exact",1748,1748],[2,24,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8602,8602,"exact",8602,8602],[2,24,"u","(20,1,1,1,1)",8855,8855,"exact",8855,8855],[2,24,"u","(20,2,2)",17480,17480,"exact",17480,17480],[2,24,"u","(21,1,1,1)",1771,1771,"exact",1771,1771],[2,24,"u","(23,1)",23,0,"exact",0,0],[2,24,"u","(24)",1,0,"exact",0,0],[2,24,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",253,253,"exact",253,253],[2,24,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3520,3520,"exact",3520,3520],[2,24,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17480,17480,"exact",17480,17480],[2,24,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1771,1771,"exact",1771,1771],[2,24,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8855,8855,"exact",8855,8855],[2,25,"u","(23,2)",275,253,"exact",253,253],[2,25,"u","(23,1,1)",276,253,"exact",253,253],[2,25,"u","(22,3)",2000,1980,"exact",1980,1980],[2,25,"u","(22,2,1)",4025,4004,"exact",4004,4004],[2,25,"u","(21,4)",10350,10332,"exact",10332,10332],[2,25,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,25,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",24,24,"exact",24,24],[2,25,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",275,275,"exact",275,275],[2,25,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2000,2000,"exact",2000,2000],[2,25,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10350,10350,"exact",10350,10350],[2,25,"u","(21,1,1,1,1)",10626,10626,"exact",10626,10626],[2,25,"u","(22,1,1,1)",2024,2024,"exact",2024,2024],[2,25,"u","(24,1)",24,0,"exact",0,0],[2,25,"u","(25)",1,0,"exact",0,0],[2,25,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",276,276,"exact",276,276],[2,25,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4025,4025,"exact",4025,4025],[2,25,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2024,2024,"exact",2024,2024],[2,25,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10626,10626,"exact",10626,10626],[2,26,"u","(24,2)",299,276,"exact",276,276],[2,26,"u","(24,1,1)",300,276,"exact",276,276],[2,26,"u","(23,3)",2275,2254,"exact",2254,2254],[2,26,"u","(23,2,1)",4576,4554,"exact",4554,4554],[2,26,"u","(22,4)",12350,12331,"exact",12331,12331],[2,26,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,26,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",25,25,"exact",25,25],[2,26,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",299,299,"exact",299,299],[2,26,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2275,2275,"exact",2275,2275],[2,26,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12350,12350,"exact",12350,12350],[2,26,"u","(22,1,1,1,1)",12650,12650,"exact",12650,12650],[2,26,"u","(23,1,1,1)",2300,2300,"exact",2300,2300],[2,26,"u","(25,1)",25,0,"exact",0,0],[2,26,"u","(26)",1,0,"exact",0,0],[2,26,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",300,300,"exact",300,300],[2,26,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4576,4576,"exact",4576,4576],[2,26,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2300,2300,"exact",2300,2300],[2,26,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12650,12650,"exact",12650,12650],[2,27,"u","(25,2)",324,300,"exact",300,300],[2,27,"u","(25,1,1)",325,300,"exact",300,300],[2,27,"u","(24,3)",2574,2552,"exact",2552,2552],[2,27,"u","(24,2,1)",5175,5152,"exact",5152,5152],[2,27,"u","(23,4)",14625,14605,"exact",14605,14605],[2,27,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,27,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",26,26,"exact",26,26],[2,27,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",324,324,"exact",324,324],[2,27,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2574,2574,"exact",2574,2574],[2,27,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14625,14625,"exact",14625,14625],[2,27,"u","(23,1,1,1,1)",14950,14950,"exact",14950,14950],[2,27,"u","(24,1,1,1)",2600,2600,"exact",2600,2600],[2,27,"u","(26,1)",26,0,"exact",0,0],[2,27,"u","(27)",1,0,"exact",0,0],[2,27,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",325,325,"exact",325,325],[2,27,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5175,5175,"exact",5175,5175],[2,27,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2600,2600,"exact",2600,2600],[2,27,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14950,14950,"exact",14950,14950],[2,28,"u","(26,2)",350,325,"exact",325,325],[2,28,"u","(26,1,1)",351,325,"exact",325,325],[2,28,"u","(25,3)",2898,2875,"exact",2875,2875],[2,28,"u","(25,2,1)",5824,5800,"exact",5800,5800],[2,28,"u","(24,4)",17199,17178,"exact",17178,17178],[2,28,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,28,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",27,27,"exact",27,27],[2,28,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[2,28,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2898,2898,"exact",2898,2898],[2,28,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17199,17199,"exact",17199,17199],[2,28,"u","(24,1,1,1,1)",17550,17550,"exact",17550,17550],[2,28,"u","(25,1,1,1)",2925,2925,"exact",2925,2925],[2,28,"u","(27,1)",27,0,"exact",0,0],[2,28,"u","(28)",1,0,"exact",0,0],[2,28,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",351,351,"exact",351,351],[2,28,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5824,5824,"exact",5824,5824],[2,28,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[2,28,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17550,17550,"exact",17550,17550],[2,29,"u","(27,2)",377,351,"exact",351,351],[2,29,"u","(27,1,1)",378,351,"exact",351,351],[2,29,"u","(26,3)",3248,3224,"exact",3224,3224],[2,29,"u","(26,2,1)",6525,6500,"exact",6500,6500],[2,29,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,29,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",28,28,"exact",28,28],[2,29,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",377,377,"exact",377,377],[2,29,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3248,3248,"exact",3248,3248],[2,29,"u","(26,1,1,1)",3276,3276,"exact",3276,3276],[2,29,"u","(28,1)",28,0,"exact",0,0],[2,29,"u","(29)",1,0,"exact",0,0],[2,29,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",378,378,"exact",378,378],[2,29,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",6525,6525,"exact",6525,6525],[2,29,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3276,3276,"exact",3276,3276],[2,30,"u","(28,2)",405,378,"exact",378,378],[2,30,"u","(28,1,1)",406,378,"exact",378,378],[2,30,"u","(27,3)",3625,3600,"exact",3600,3600],[2,30,"u","(27,2,1)",7280,7254,"exact",7254,7254],[2,30,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,30,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",29,29,"exact",29,29],[2,30,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",405,405,"exact",405,405],[2,30,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3625,3625,"exact",3625,3625],[2,30,"u","(27,1,1,1)",3654,3654,"exact",3654,3654],[2,30,"u","(29,1)",29,0,"exact",0,0],[2,30,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",406,406,"exact",406,406],[2,30,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7280,7280,"exact",7280,7280],[2,30,"u","(30)",1,0,"exact",0,0],[2,30,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3654,3654,"exact",3654,3654],[2,31,"u","(29,2)",434,406,"exact",406,406],[2,31,"u","(29,1,1)",435,406,"exact",406,406],[2,31,"u","(28,3)",4030,4004,"exact",4004,4004],[2,31,"u","(28,2,1)",8091,8064,"exact",8064,8064],[2,31,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[2,31,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",30,30,"exact",30,30],[2,31,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",434,434,"exact",434,434],[2,31,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4030,4030,"exact",4030,4030],[2,31,"u","(28,1,1,1)",4060,4060,"exact",4060,4060],[2,31,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",435,435,"exact",435,435],[2,31,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8091,8091,"exact",8091,8091],[2,31,"u","(30,1)",30,0,"exact",0,0],[2,31,"u","(31)",1,0,"exact",0,0],[2,31,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4060,4060,"exact",4060,4060],[3,8,"c","(2,2,2,2)",14,1,"exact",1,1],[3,8,"c","(3,3,1,1)",56,2,"exact",2,2],[3,8,"c","(3,2,2,1)",70,1,"exact",1,1],[3,9,"c","(6,1,1,1)",56,1,"exact",1,1],[3,9,"c","(6,3)",48,1,"exact",1,1],[3,9,"c","(4,4,1)",84,3,"exact",3,3],[3,9,"c","(5,2,2)",120,2,"exact",2,2],[3,9,"c","(3,2,2,2)",84,1,"lower bound",1,5],[3,9,"c","(5,3,1)",162,1,"lower bound",1,4],[3,9,"c","(4,3,2)",168,6,"exact",6,6],[3,9,"c","(5,2,1,1)",189,1,"lower bound",1,4],[3,10,"c","(7,3)",75,1,"exact",1,1],[3,10,"c","(7,1,1,1)",84,1,"exact",1,1],[3,10,"c","(6,4)",90,1,"lower bound",1,3],[3,10,"c","(7,2,1)",160,2,"exact",2,2],[3,10,"c","(4,3,3)",210,1,"lower bound",1,11],[3,10,"c","(5,4,1)",288,1,"lower bound",1,15],[3,10,"c","(6,3,1)",315,1,"lower bound",1,11],[3,11,"c","(8,3)",110,2,"exact",2,2],[3,11,"c","(8,1,1,1)",120,2,"exact",2,2],[3,11,"c","(4,1,1,1,1,1,1,1)",120,1,"probable",0,1],[3,11,"c","(7,4)",165,1,"lower bound",1,6],[3,11,"c","(8,2,1)",231,4,"exact",4,4],[3,11,"c","(7,3,1)",550,1,"lower 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1,1)",385,320,"exact",320,320],[3,11,"f","(3,3,2,1,1,1)",990,715,"exact",715,715],[3,11,"f","(3,3,2,2,1)",990,636,"exact",636,636],[3,11,"f","(3,3,3,1,1)",660,407,"exact",407,407],[3,11,"f","(3,3,3,2)",462,270,"exact",270,270],[3,11,"f","(4,1,1,1,1,1,1,1)",120,108,"exact",108,108],[3,11,"f","(4,2,1,1,1,1,1)",594,483,"exact",483,483],[3,11,"f","(4,2,2,1,1,1)",1232,865,"exact",865,865],[3,11,"f","(4,2,2,2,1)",1155,710,"exact",710,710],[3,11,"f","(4,3,1,1,1,1)",1100,764,"exact",764,764],[3,11,"f","(4,3,2,1,1)",2310,1347,"exact",1347,1347],[3,11,"f","(4,3,2,2)",1320,704,"exact",704,704],[3,11,"f","(4,3,3,1)",1188,597,"exact",597,597],[3,11,"f","(4,4,1,1,1)",825,456,"exact",456,456],[3,11,"f","(4,4,2,1)",1320,626,"exact",626,626],[3,11,"f","(4,4,3)",462,191,"exact",191,191],[3,11,"f","(5,1,1,1,1,1,1)",210,168,"exact",168,168],[3,11,"f","(5,2,1,1,1,1)",924,611,"exact",611,611],[3,11,"f","(5,2,2,1,1)",1540,829,"exact",829,829],[3,11,"f","(5,2,2,2)",825,399,"exact",399,399],[3,11,"f","(5,3,1,1,1)",1540,795,"exact",795,795],[3,11,"f","(5,3,2,1)",2310,1006,"exact",1006,1006],[3,11,"f","(5,3,3)",660,251,"exact",251,251],[3,11,"f","(5,4,1,1)",1155,459,"exact",459,459],[3,11,"f","(5,4,2)",990,347,"exact",347,347],[3,11,"f","(5,5,1)",330,99,"exact",99,99],[3,11,"f","(6,1,1,1,1,1)",252,155,"exact",155,155],[3,11,"f","(6,2,1,1,1)",924,415,"exact",415,415],[3,11,"f","(6,2,2,1)",1100,402,"exact",402,402],[3,11,"f","(6,3,1,1)",1232,413,"exact",413,413],[3,11,"f","(6,3,2)",990,290,"exact",290,290],[3,11,"f","(6,4,1)",693,183,"exact",183,183],[3,11,"f","(6,5)",132,28,"exact",28,28],[3,11,"f","(7,1,1,1,1)",210,69,"exact",69,69],[3,11,"f","(7,2,1,1)",594,142,"exact",142,142],[3,11,"f","(7,2,2)",385,82,"exact",82,82],[3,11,"f","(7,3,1)",550,104,"exact",104,104],[3,11,"f","(7,4)",165,28,"exact",28,28],[3,11,"f","(8,1,1,1)",120,10,"exact",10,10],[3,11,"f","(8,2,1)",231,20,"exact",20,20],[3,11,"f","(8,3)",110,10,"exact",10,10],[3,11,"f","(9,1,1)",45,0,"exact",0,0],[3,11,"f","(9,2)",44,0,"exact",0,0],[3,11,"f","(10,1)",10,0,"exact",0,0],[3,11,"f","(11)",1,0,"exact",0,0],[3,12,"f","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"f","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[3,12,"f","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[3,12,"f","(2,2,2,1,1,1,1,1,1)",154,151,"exact",151,151],[3,12,"f","(2,2,2,2,1,1,1,1)",275,259,"exact",259,259],[3,12,"f","(2,2,2,2,2,1,1)",297,270,"exact",270,270],[3,12,"f","(2,2,2,2,2,2)",132,114,"exact",114,114],[3,12,"f","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[3,12,"f","(3,2,1,1,1,1,1,1,1)",320,315,"exact",315,315],[3,12,"f","(3,2,2,1,1,1,1,1)",891,844,"exact",844,844],[3,12,"f","(3,2,2,2,1,1,1)",1408,1275,"exact",1275,1275],[3,12,"f","(3,2,2,2,2,1)",1155,999,"exact",999,999],[3,12,"f","(3,3,1,1,1,1,1,1)",616,584,"exact",584,584],[3,12,"f","(3,3,2,1,1,1,1)",1925,1742,"exact",1742,1742],[3,12,"f","(3,3,2,2,1,1)",2673,2271,"exact",2271,2271],[3,12,"f","(3,3,2,2,2)",1320,1083,"exact",1083,1083],[3,12,"f","(3,3,3,1,1,1)",1650,1391,"exact",1391,1391],[3,12,"f","(3,3,3,2,1)",2112,1678,"exact",1678,1678],[3,12,"f","(3,3,3,3)",462,352,"exact",352,352],[3,12,"f","(4,1,1,1,1,1,1,1,1)",165,162,"exact",162,162],[3,12,"f","(4,2,1,1,1,1,1,1)",945,895,"exact",895,895],[3,12,"f","(4,2,2,1,1,1,1)",2376,2127,"exact",2127,2127],[3,12,"f","(4,2,2,2,1,1)",3080,2587,"exact",2587,2587],[3,12,"f","(4,2,2,2,2)",1485,1187,"exact",1187,1187],[3,12,"f","(4,3,1,1,1,1,1)",2079,1861,"exact",1861,1861],[3,12,"f","(4,3,2,1,1,1)",5632,4652,"exact",4652,4652],[3,12,"f","(4,3,2,2,1)",5775,4459,"exact",4459,4459],[3,12,"f","(4,3,3,1,1)",4158,3128,"exact",3128,3128],[3,12,"f","(4,3,3,2)",2970,2138,"exact",2138,2138],[3,12,"f","(4,4,1,1,1,1)",1925,1558,"exact",1558,1558],[3,12,"f","(4,4,2,1,1)",4455,3288,"exact",3288,3288],[3,12,"f","(4,4,2,2)",2640,1839,"exact",1839,1839],[3,12,"f","(4,4,3,1)",2970,1997,"exact",1997,1997],[3,12,"f","(4,4,4)",462,280,"exact",280,280],[3,12,"f","(5,1,1,1,1,1,1,1)",330,308,"exact",308,308],[3,12,"f","(5,2,1,1,1,1,1)",1728,1521,"exact",1521,1521],[3,12,"f","(5,2,2,1,1,1)",3696,2963,"exact",2963,2963],[3,12,"f","(5,2,2,2,1)",3520,2604,"exact",2604,2604],[3,12,"f","(5,3,1,1,1,1)",3564,2832,"exact",2832,2832],[3,12,"f","(5,3,2,1,1)",7700,5482,"exact",5482,5482],[3,12,"f","(5,3,2,2)",4455,2994,"exact",2994,2994],[3,12,"f","(5,3,3,1)",4158,2673,"exact",2673,2673],[3,12,"f","(5,4,1,1,1)",3520,2410,"exact",2410,2410],[3,12,"f","(5,4,2,1)",5775,3583,"exact",3583,3583],[3,12,"f","(5,4,3)",2112,1195,"exact",1195,1195],[3,12,"f","(5,5,1,1)",1485,844,"exact",844,844],[3,12,"f","(5,5,2)",1320,698,"exact",698,698],[3,12,"f","(6,1,1,1,1,1,1)",462,396,"exact",396,396],[3,12,"f","(6,2,1,1,1,1)",2100,1581,"exact",1581,1581],[3,12,"f","(6,2,2,1,1)",3564,2348,"exact",2348,2348],[3,12,"f","(6,2,2,2)",1925,1176,"exact",1176,1176],[3,12,"f","(6,3,1,1,1)",3696,2359,"exact",2359,2359],[3,12,"f","(6,3,2,1)",5632,3207,"exact",3207,3207],[3,12,"f","(6,3,3)",1650,852,"exact",852,852],[3,12,"f","(6,4,1,1)",3080,1643,"exact",1643,1643],[3,12,"f","(6,4,2)",2673,1308,"exact",1308,1308],[3,12,"f","(6,5,1)",1155,508,"exact",508,508],[3,12,"f","(6,6)",132,47,"exact",47,47],[3,12,"f","(7,1,1,1,1,1)",462,319,"exact",319,319],[3,12,"f","(7,2,1,1,1)",1728,957,"exact",957,957],[3,12,"f","(7,2,2,1)",2079,1000,"exact",1000,1000],[3,12,"f","(7,3,1,1)",2376,1072,"exact",1072,1072],[3,12,"f","(7,3,2)",1925,792,"exact",792,792],[3,12,"f","(7,4,1)",1408,534,"exact",534,534],[3,12,"f","(7,5)",297,97,"exact",97,97],[3,12,"f","(8,1,1,1,1)",330,133,"exact",133,133],[3,12,"f","(8,2,1,1)",945,305,"exact",305,305],[3,12,"f","(8,2,2)",616,182,"exact",182,182],[3,12,"f","(8,3,1)",891,243,"exact",243,243],[3,12,"f","(8,4)",275,68,"exact",68,68],[3,12,"f","(9,1,1,1)",165,20,"exact",20,20],[3,12,"f","(9,2,1)",320,40,"exact",40,40],[3,12,"f","(9,3)",154,20,"exact",20,20],[3,12,"f","(10,1,1)",55,0,"exact",0,0],[3,12,"f","(10,2)",54,0,"exact",0,0],[3,12,"f","(11,1)",11,0,"exact",0,0],[3,12,"f","(12)",1,0,"exact",0,0],[3,13,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"f","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[3,13,"f","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[3,13,"f","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[3,13,"f","(2,2,2,2,1,1,1,1,1)",429,425,"exact",425,425],[3,13,"f","(2,2,2,2,2,1,1,1)",572,557,"exact",557,557],[3,13,"f","(2,2,2,2,2,2,1)",429,410,"exact",410,410],[3,13,"f","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[3,13,"f","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"f","(3,2,2,1,1,1,1,1,1)",1365,1354,"exact",1354,1354],[3,13,"f","(3,2,2,2,1,1,1,1)",2574,2510,"exact",2510,2510],[3,13,"f","(3,2,2,2,2,1,1)",2860,2736,"exact",2736,2736],[3,13,"f","(3,2,2,2,2,2)",1287,1211,"exact",1211,1211],[3,13,"f","(3,3,1,1,1,1,1,1,1)",936,928,"exact",928,928],[3,13,"f","(3,3,2,1,1,1,1,1)",3432,3350,"exact",3350,3350],[3,13,"f","(3,3,2,2,1,1,1)",6006,5725,"exact",5725,5725],[3,13,"f","(3,3,2,2,2,1)",5148,4796,"exact",4796,4796],[3,13,"f","(3,3,3,1,1,1,1)",3575,3405,"exact",3405,3405],[3,13,"f","(3,3,3,2,1,1)",6435,5937,"exact",5937,5937],[3,13,"f","(3,3,3,2,2)",3432,3107,"exact",3107,3107],[3,13,"f","(3,3,3,3,1)",2574,2299,"exact",2299,2299],[3,13,"f","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[3,13,"f","(4,2,1,1,1,1,1,1,1)",1430,1419,"exact",1419,1419],[3,13,"f","(4,2,2,1,1,1,1,1)",4212,4102,"exact",4102,4102],[3,13,"f","(4,2,2,2,1,1,1)",6864,6520,"exact",6520,6520],[3,13,"f","(4,2,2,2,2,1)",5720,5297,"exact",5297,5297],[3,13,"f","(4,3,1,1,1,1,1,1)",3640,3546,"exact",3546,3546],[3,13,"f","(4,3,2,1,1,1,1)",12012,11375,"exact",11375,11375],[3,13,"f","(4,3,2,2,1,1)",17160,15701,"exact",15701,15701],[3,13,"f","(4,3,2,2,2)",8580,7673,"exact",7673,7673],[3,13,"f","(4,3,3,1,1,1)",11440,10389,"exact",10389,10389],[3,13,"f","(4,3,3,2,1)",15015,13172,"exact",13172,13172],[3,13,"f","(4,3,3,3)",3432,2920,"exact",2920,2920],[3,13,"f","(4,4,1,1,1,1,1)",4004,3773,"exact",3773,3773],[3,13,"f","(4,4,2,1,1,1)",12012,10836,"exact",10836,10836],[3,13,"f","(4,4,2,2,1)",12870,11177,"exact",11177,11177],[3,13,"f","(4,4,3,1,1)",11583,9907,"exact",9907,9907],[3,13,"f","(4,4,3,2)",8580,7126,"exact",7126,7126],[3,13,"f","(4,4,4,1)",3432,2765,"exact",2765,2765],[3,13,"f","(5,1,1,1,1,1,1,1,1)",495,489,"exact",489,489],[3,13,"f","(5,2,1,1,1,1,1,1)",3003,2913,"exact",2913,2913],[3,13,"f","(5,2,2,1,1,1,1)",7800,7321,"exact",7321,7321],[3,13,"f","(5,2,2,2,1,1)",10296,9292,"exact",9292,9292],[3,13,"f","(5,2,2,2,2)",5005,4391,"exact",4391,4391],[3,13,"f","(5,3,1,1,1,1,1)",7371,6911,"exact",6911,6911],[3,13,"f","(5,3,2,1,1,1)",20592,18369,"exact",18369,18369],[3,13,"f","(5,3,2,2,1)",21450,18343,"exact",18343,18343],[3,13,"f","(5,3,3,1,1)",16016,13460,"exact",13460,13460],[3,13,"f","(5,3,3,2)",11583,9440,"exact",9440,9440],[3,13,"f","(5,4,1,1,1,1)",9009,7936,"exact",7936,7936],[3,13,"f","(5,4,2,1,1)",21450,17786,"exact",17786,17786],[3,13,"f","(5,4,2,2)",12870,10297,"exact",10297,10297],[3,13,"f","(5,4,3,1)",15015,11696,"exact",11696,11696],[3,13,"f","(5,4,4)",2574,1876,"exact",1876,1876],[3,13,"f","(5,5,1,1,1)",5005,4004,"exact",4004,4004],[3,13,"f","(5,5,2,1)",8580,6459,"exact",6459,6459],[3,13,"f","(5,5,3)",3432,2434,"exact",2434,2434],[3,13,"f","(6,1,1,1,1,1,1,1)",792,759,"exact",759,759],[3,13,"f","(6,2,1,1,1,1,1)",4290,3957,"exact",3957,3957],[3,13,"f","(6,2,2,1,1,1)",9360,8126,"exact",8126,8126],[3,13,"f","(6,2,2,2,1)",9009,7418,"exact",7418,7418],[3,13,"f","(6,3,1,1,1,1)",9360,8061,"exact",8061,8061],[3,13,"f","(6,3,2,1,1)",20592,16503,"exact",16503,16503],[3,13,"f","(6,3,2,2)",12012,9241,"exact",9241,9241],[3,13,"f","(6,3,3,1)",11440,8539,"exact",8539,8539],[3,13,"f","(6,4,1,1,1)",10296,8023,"exact",8023,8023],[3,13,"f","(6,4,2,1)",17160,12497,"exact",12497,12497],[3,13,"f","(6,4,3)",6435,4393,"exact",4393,4393],[3,13,"f","(6,5,1,1)",5720,3926,"exact",3926,3926],[3,13,"f","(6,5,2)",5148,3349,"exact",3349,3349],[3,13,"f","(6,6,1)",1287,759,"exact",759,759],[3,13,"f","(7,1,1,1,1,1,1)",924,829,"exact",829,829],[3,13,"f","(7,2,1,1,1,1)",4290,3516,"exact",3516,3516],[3,13,"f","(7,2,2,1,1)",7371,5505,"exact",5505,5505],[3,13,"f","(7,2,2,2)",4004,2838,"exact",2838,2838],[3,13,"f","(7,3,1,1,1)",7800,5688,"exact",5688,5688],[3,13,"f","(7,3,2,1)",12012,8078,"exact",8078,8078],[3,13,"f","(7,3,3)",3575,2235,"exact",2235,2235],[3,13,"f","(7,4,1,1)",6864,4392,"exact",4392,4392],[3,13,"f","(7,4,2)",6006,3618,"exact",3618,3618],[3,13,"f","(7,5,1)",2860,1590,"exact",1590,1590],[3,13,"f","(7,6)",429,206,"exact",206,206],[3,13,"f","(8,1,1,1,1,1)",792,593,"exact",593,593],[3,13,"f","(8,2,1,1,1)",3003,1915,"exact",1915,1915],[3,13,"f","(8,2,2,1)",3640,2093,"exact",2093,2093],[3,13,"f","(8,3,1,1)",4212,2309,"exact",2309,2309],[3,13,"f","(8,3,2)",3432,1755,"exact",1755,1755],[3,13,"f","(8,4,1)",2574,1233,"exact",1233,1233],[3,13,"f","(8,5)",572,243,"exact",243,243],[3,13,"f","(9,1,1,1,1)",495,233,"exact",233,233],[3,13,"f","(9,2,1,1)",1430,568,"exact",568,568],[3,13,"f","(9,2,2)",936,348,"exact",348,348],[3,13,"f","(9,3,1)",1365,476,"exact",476,476],[3,13,"f","(9,4)",429,138,"exact",138,138],[3,13,"f","(10,1,1,1)",220,35,"exact",35,35],[3,13,"f","(10,2,1)",429,70,"exact",70,70],[3,13,"f","(10,3)",208,35,"exact",35,35],[3,13,"f","(11,1,1)",66,0,"exact",0,0],[3,13,"f","(11,2)",65,0,"exact",0,0],[3,13,"f","(12,1)",12,0,"exact",0,0],[3,13,"f","(13)",1,0,"exact",0,0],[3,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[3,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[3,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[3,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[3,14,"f","(2,2,2,2,2,1,1,1,1)",1001,997,"exact",997,997],[3,14,"f","(2,2,2,2,2,2,1,1)",1001,990,"exact",990,990],[3,14,"f","(2,2,2,2,2,2,2)",429,420,"exact",420,420],[3,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[3,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,14,"f","(3,2,2,2,1,1,1,1,1)",4368,4146,"lower bound",4146,4353],[3,14,"f","(3,2,2,2,2,1,1,1)",6006,5296,"lower bound",5296,5942],[3,14,"f","(3,2,2,2,2,2,1)",4576,4096,"lower bound",4096,4494],[3,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,14,"f","(3,3,2,1,1,1,1,1,1)",5733,5710,"lower bound",5710,5714],[3,14,"f","(3,3,2,2,1,1,1,1)",12012,10432,"lower bound",10432,11888],[3,14,"f","(3,3,2,2,2,1,1)",14014,11311,"lower bound",11311,13887],[3,14,"f","(3,3,2,2,2,2)",6435,5176,"lower bound",5176,6264],[3,14,"f","(3,3,3,1,1,1,1,1)",7007,6749,"lower bound",6749,6931],[3,14,"f","(3,3,3,2,1,1,1)",16016,12977,"lower bound",12977,15779],[3,14,"f","(3,3,3,2,2,1)",15015,11990,"lower bound",11990,14517],[3,14,"f","(3,3,3,3,1,1)",9009,6727,"lower bound",6727,8721],[3,14,"f","(3,3,3,3,2)",6006,5023,"lower bound",5023,5726],[3,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[3,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[3,14,"f","(4,2,2,1,1,1,1,1,1)",7007,6972,"lower bound",6972,6983],[3,14,"f","(4,2,2,2,1,1,1,1)",13650,11791,"lower bound",11791,13492],[3,14,"f","(4,2,2,2,2,1,1)",15444,11924,"lower bound",11924,15156],[3,14,"f","(4,2,2,2,2,2)",7007,5176,"lower bound",5176,6805],[3,14,"f","(4,3,1,1,1,1,1,1,1)",6006,5977,"lower bound",5977,5985],[3,14,"f","(4,3,2,1,1,1,1,1)",23296,20362,"lower bound",20362,23133],[3,14,"f","(4,3,2,2,1,1,1)",42042,30485,"lower bound",30485,41660],[3,14,"f","(4,3,2,2,2,1)",36608,24547,"lower bound",24547,35958],[3,14,"f","(4,3,3,1,1,1,1)",27027,20129,"lower bound",20129,26808],[3,14,"f","(4,3,3,2,1,1)",50050,32405,"lower bound",32405,49127],[3,14,"f","(4,3,3,2,2)",27027,17811,"lower bound",17811,26321],[3,14,"f","(4,3,3,3,1)",21021,14105,"lower bound",14105,20368],[3,14,"f","(4,4,1,1,1,1,1,1)",7644,7309,"lower bound",7309,7553],[3,14,"f","(4,4,2,1,1,1,1)",28028,20733,"lower bound",20733,27752],[3,14,"f","(4,4,2,2,1,1)",42042,25647,"lower bound",25647,41190],[3,14,"f","(4,4,2,2,2)",21450,12518,"lower bound",12518,20809],[3,14,"f","(4,4,3,1,1,1)",35035,21589,"lower bound",21589,34247],[3,14,"f","(4,4,3,2,1)",48048,28261,"lower bound",28261,46328],[3,14,"f","(4,4,3,3)",12012,8092,"lower bound",8092,10996],[3,14,"f","(4,4,4,1,1)",15015,9391,"lower bound",9391,13847],[3,14,"f","(4,4,4,2)",12012,7978,"lower bound",7978,10888],[3,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,14,"f","(5,2,1,1,1,1,1,1,1)",4928,4670,"lower bound",4670,4908],[3,14,"f","(5,2,2,1,1,1,1,1)",15015,12669,"lower bound",12669,14883],[3,14,"f","(5,2,2,2,1,1,1)",24960,17885,"lower bound",17885,24668],[3,14,"f","(5,2,2,2,2,1)",21021,14790,"lower bound",14790,20526],[3,14,"f","(5,3,1,1,1,1,1,1)",14014,11718,"lower bound",11718,13890],[3,14,"f","(5,3,2,1,1,1,1)",47775,32854,"lower bound",32854,47293],[3,14,"f","(5,3,2,2,1,1)",69498,41287,"lower bound",41287,67820],[3,14,"f","(5,3,2,2,2)",35035,21161,"lower bound",21161,33841],[3,14,"f","(5,3,3,1,1,1)",48048,27604,"lower bound",27604,46818],[3,14,"f","(5,3,3,2,1)",64064,35079,"lower bound",35079,61436],[3,14,"f","(5,3,3,3)",15015,8843,"lower bound",8843,13620],[3,14,"f","(5,4,1,1,1,1,1)",20384,15199,"lower bound",15199,20093],[3,14,"f","(5,4,2,1,1,1)",63063,36700,"lower bound",36700,61279],[3,14,"f","(5,4,2,2,1)",68640,35705,"lower bound",35705,65529],[3,14,"f","(5,4,3,1,1)",64064,33179,"lower bound",33179,60821],[3,14,"f","(5,4,3,2)",48048,24392,"lower bound",24392,45150],[3,14,"f","(5,4,4,1)",21021,11511,"lower bound",11511,19483],[3,14,"f","(5,5,1,1,1,1)",14014,9931,"lower bound",9931,13395],[3,14,"f","(5,5,2,1,1)",35035,19156,"lower bound",19156,32964],[3,14,"f","(5,5,2,2)",21450,9973,"lower bound",9973,19959],[3,14,"f","(5,5,3,1)",27027,13855,"lower bound",13855,24922],[3,14,"f","(5,5,4)",6006,4096,"lower bound",4096,4988],[3,14,"f","(6,1,1,1,1,1,1,1,1)",1287,1278,"exact",1278,1278],[3,14,"f","(6,2,1,1,1,1,1,1)",8085,7363,"lower bound",7363,7946],[3,14,"f","(6,2,2,1,1,1,1)",21450,15324,"lower bound",15324,21058],[3,14,"f","(6,2,2,2,1,1)",28665,16957,"lower bound",16957,27713],[3,14,"f","(6,2,2,2,2)",14014,8970,"lower bound",8970,12935],[3,14,"f","(6,3,1,1,1,1,1)",21021,14764,"lower bound",14764,20619],[3,14,"f","(6,3,2,1,1,1)",59904,32245,"lower bound",32245,57757],[3,14,"f","(6,3,2,2,1)",63063,31097,"lower bound",31097,59576],[3,14,"f","(6,3,3,1,1)",48048,22101,"lower bound",22101,45096],[3,14,"f","(6,3,3,2)",35035,15805,"lower bound",15805,32509],[3,14,"f","(6,4,1,1,1,1)",28665,16471,"lower bound",16471,27415],[3,14,"f","(6,4,2,1,1)",69498,32479,"lower bound",32479,64848],[3,14,"f","(6,4,2,2)",42042,17967,"lower bound",17967,38728],[3,14,"f","(6,4,3,1)",50050,22891,"lower bound",22891,45694],[3,14,"f","(6,4,4)",9009,5522,"lower bound",5522,7329],[3,14,"f","(6,5,1,1,1)",21021,13092,"lower bound",13092,19241],[3,14,"f","(6,5,2,1)",36608,18181,"lower bound",18181,32976],[3,14,"f","(6,5,3)",15015,9857,"lower bound",9857,12001],[3,14,"f","(6,6,1,1)",7007,4445,"lower bound",4445,5592],[3,14,"f","(6,6,2)",6435,4096,"lower bound",4096,4945],[3,14,"f","(7,1,1,1,1,1,1,1)",1716,1667,"lower bound",1667,1669],[3,14,"f","(7,2,1,1,1,1,1)",9504,8239,"lower bound",8239,9017],[3,14,"f","(7,2,2,1,1,1)",21021,13087,"lower bound",13087,19913],[3,14,"f","(7,2,2,2,1)",20384,11806,"lower bound",11806,18824],[3,14,"f","(7,3,1,1,1,1)",21450,12927,"lower bound",12927,20236],[3,14,"f","(7,3,2,1,1)",47775,21953,"lower bound",21953,43650],[3,14,"f","(7,3,2,2)",28028,12483,"lower bound",12483,25214],[3,14,"f","(7,3,3,1)",27027,11261,"lower bound",11261,24048],[3,14,"f","(7,4,1,1,1)",24960,13361,"lower bound",13361,22537],[3,14,"f","(7,4,2,1)",42042,18853,"lower bound",18853,37054],[3,14,"f","(7,4,3)",16016,9844,"lower bound",9844,12320],[3,14,"f","(7,5,1,1)",15444,9294,"lower bound",9294,11956],[3,14,"f","(7,5,2)",14014,8181,"lower bound",8181,10447],[3,14,"f","(7,6,1)",4576,3138,"lower bound",3138,3213],[3,14,"f","(7,7)",429,262,"exact",262,262],[3,14,"f","(8,1,1,1,1,1,1)",1716,1582,"lower bound",1582,1587],[3,14,"f","(8,2,1,1,1,1)",8085,5354,"lower bound",5354,7196],[3,14,"f","(8,2,2,1,1)",14014,7482,"lower bound",7482,11366],[3,14,"f","(8,2,2,2)",7644,4927,"lower bound",4927,5971],[3,14,"f","(8,3,1,1,1)",15015,7696,"lower bound",7696,11956],[3,14,"f","(8,3,2,1)",23296,10570,"lower bound",10570,18841],[3,14,"f","(8,3,3)",7007,4096,"lower bound",4096,4988],[3,14,"f","(8,4,1,1)",13650,7217,"lower bound",7217,9900],[3,14,"f","(8,4,2)",12012,6121,"lower bound",6121,8323],[3,14,"f","(8,5,1)",6006,3742,"lower bound",3742,3948],[3,14,"f","(8,6)",1001,578,"lower bound",578,579],[3,14,"f","(9,1,1,1,1,1)",1287,1001,"lower bound",1001,1024],[3,14,"f","(9,2,1,1,1)",4928,2715,"lower bound",2715,3482],[3,14,"f","(9,2,2,1)",6006,3012,"lower bound",3012,3932],[3,14,"f","(9,3,1,1)",7007,3019,"lower bound",3019,4415],[3,14,"f","(9,3,2)",5733,3030,"lower bound",3030,3439],[3,14,"f","(9,4,1)",4368,2357,"lower bound",2357,2493],[3,14,"f","(9,5)",1001,507,"lower bound",507,511],[3,14,"f","(10,1,1,1,1)",715,362,"lower bound",362,378],[3,14,"f","(10,2,1,1)",2079,958,"lower bound",958,962],[3,14,"f","(10,2,2)",1365,598,"exact",598,598],[3,14,"f","(10,3,1)",2002,834,"exact",834,834],[3,14,"f","(10,4)",637,245,"lower bound",245,247],[3,14,"f","(11,1,1,1)",286,56,"exact",56,56],[3,14,"f","(11,2,1)",560,112,"exact",112,112],[3,14,"f","(11,3)",273,56,"exact",56,56],[3,14,"f","(12,1,1)",78,0,"exact",0,0],[3,14,"f","(12,2)",77,0,"exact",0,0],[3,14,"f","(13,1)",13,0,"exact",0,0],[3,14,"f","(14)",1,0,"exact",0,0],[3,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[3,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[3,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[3,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[3,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[3,15,"f","(2,2,2,2,2,2,1,1,1)",2002,1999,"exact",1999,1999],[3,15,"f","(2,2,2,2,2,2,2,1)",1430,1423,"exact",1423,1423],[3,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[3,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[3,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,15,"f","(3,2,2,2,2,1,1,1,1)",11375,10439,"lower bound",10439,11365],[3,15,"f","(3,2,2,2,2,2,1,1)",11583,10382,"lower bound",10382,11572],[3,15,"f","(3,2,2,2,2,2,2)",5005,4516,"lower bound",4516,4971],[3,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[3,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[3,15,"f","(3,3,2,2,1,1,1,1,1)",22113,20288,"lower bound",20288,22095],[3,15,"f","(3,3,2,2,2,1,1,1)",32032,27039,"lower bound",27039,32006],[3,15,"f","(3,3,2,2,2,2,1)",25025,20583,"lower bound",20583,25000],[3,15,"f","(3,3,3,1,1,1,1,1,1)",12740,12459,"lower bound",12459,12729],[3,15,"f","(3,3,3,2,1,1,1,1)",35035,30158,"lower bound",30158,35007],[3,15,"f","(3,3,3,2,2,1,1)",45045,36278,"lower bound",36278,44998],[3,15,"f","(3,3,3,2,2,2)",21450,17166,"lower bound",17166,21424],[3,15,"f","(3,3,3,3,1,1,1)",25025,19704,"lower bound",19704,24988],[3,15,"f","(3,3,3,3,2,1)",30030,23740,"lower bound",23740,29967],[3,15,"f","(3,3,3,3,3)",6006,5023,"lower bound",5023,5881],[3,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[3,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[3,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[3,15,"f","(4,2,2,2,1,1,1,1,1)",25025,22909,"lower bound",22909,25002],[3,15,"f","(4,2,2,2,2,1,1,1)",35100,29011,"lower bound",29011,35059],[3,15,"f","(4,2,2,2,2,2,1)",27027,21196,"lower bound",21196,26983],[3,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[3,15,"f","(4,3,2,1,1,1,1,1,1)",42042,39021,"lower bound",39021,42005],[3,15,"f","(4,3,2,2,1,1,1,1)",91000,73070,"lower bound",73070,90887],[3,15,"f","(4,3,2,2,2,1,1)",108108,78267,"lower bound",78267,107916],[3,15,"f","(4,3,2,2,2,2)",50050,34899,"lower bound",34899,49931],[3,15,"f","(4,3,3,1,1,1,1,1)",57330,47240,"lower bound",47240,57260],[3,15,"f","(4,3,3,2,1,1,1)",135135,95996,"lower bound",95996,134979],[3,15,"f","(4,3,3,2,2,1)",128700,86753,"lower bound",86753,128307],[3,15,"f","(4,3,3,3,1,1)",80080,53237,"lower bound",53237,79766],[3,15,"f","(4,3,3,3,2)",54054,36939,"lower bound",36939,53776],[3,15,"f","(4,4,1,1,1,1,1,1,1)",13650,13286,"lower bound",13286,13638],[3,15,"f","(4,4,2,1,1,1,1,1)",58968,48404,"lower bound",48404,58883],[3,15,"f","(4,4,2,2,1,1,1)",112112,76865,"lower bound",76865,111953],[3,15,"f","(4,4,2,2,2,1)",100100,62712,"lower bound",62712,99717],[3,15,"f","(4,4,3,1,1,1,1)",90090,62451,"lower bound",62451,89962],[3,15,"f","(4,4,3,2,1,1)",175175,107902,"lower bound",107902,174462],[3,15,"f","(4,4,3,2,2)",96525,58590,"lower bound",58590,95918],[3,15,"f","(4,4,3,3,1)",81081,50458,"lower bound",50458,80471],[3,15,"f","(4,4,4,1,1,1)",50050,30980,"lower bound",30980,49751],[3,15,"f","(4,4,4,2,1)",75075,45630,"lower bound",45630,74435],[3,15,"f","(4,4,4,3)",24024,16070,"lower bound",16070,23756],[3,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[3,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[3,15,"f","(5,2,2,1,1,1,1,1,1)",26950,24311,"lower bound",24311,26923],[3,15,"f","(5,2,2,2,1,1,1,1)",53625,42345,"lower bound",42345,53524],[3,15,"f","(5,2,2,2,2,1,1)",61425,44599,"lower bound",44599,61253],[3,15,"f","(5,2,2,2,2,2)",28028,19966,"lower bound",19966,27917],[3,15,"f","(5,3,1,1,1,1,1,1,1)",24948,22365,"lower bound",22365,24921],[3,15,"f","(5,3,2,1,1,1,1,1)",100100,77603,"lower bound",77603,99910],[3,15,"f","(5,3,2,2,1,1,1)",184275,122511,"lower bound",122511,183893],[3,15,"f","(5,3,2,2,2,1)",162162,101785,"lower bound",101785,161371],[3,15,"f","(5,3,3,1,1,1,1)",122850,80587,"lower bound",80587,122631],[3,15,"f","(5,3,3,2,1,1)",231660,136375,"lower bound",136375,230394],[3,15,"f","(5,3,3,2,2)",126126,74051,"lower bound",74051,125172],[3,15,"f","(5,3,3,3,1)",100100,58027,"lower bound",58027,99181],[3,15,"f","(5,4,1,1,1,1,1,1)",42042,34226,"lower bound",34226,41950],[3,15,"f","(5,4,2,1,1,1,1)",159250,105486,"lower bound",105486,158898],[3,15,"f","(5,4,2,2,1,1)",243243,139339,"lower bound",139339,241770],[3,15,"f","(5,4,2,2,2)",125125,69384,"lower bound",69384,124009],[3,15,"f","(5,4,3,1,1,1)",210210,119072,"lower bound",119072,208758],[3,15,"f","(5,4,3,2,1)",292864,156616,"lower bound",156616,289628],[3,15,"f","(5,4,3,3)",75075,41327,"lower bound",41327,73994],[3,15,"f","(5,4,4,1,1)",100100,54081,"lower bound",54081,98760],[3,15,"f","(5,4,4,2)",81081,43881,"lower bound",43881,79699],[3,15,"f","(5,5,1,1,1,1,1)",34398,25130,"lower bound",25130,34303],[3,15,"f","(5,5,2,1,1,1)",112112,65787,"lower bound",65787,111186],[3,15,"f","(5,5,2,2,1)",125125,64834,"lower bound",64834,123409],[3,15,"f","(5,5,3,1,1)",126126,66190,"lower bound",66190,124153],[3,15,"f","(5,5,3,2)",96525,48220,"lower bound",48220,94725],[3,15,"f","(5,5,4,1)",54054,29462,"lower bound",29462,52779],[3,15,"f","(5,5,5)",6006,4096,"lower bound",4096,5423],[3,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"f","(6,2,1,1,1,1,1,1,1)",14300,13311,"lower bound",13311,14280],[3,15,"f","(6,2,2,1,1,1,1,1)",44550,35356,"lower bound",35356,44418],[3,15,"f","(6,2,2,2,1,1,1)",75075,50166,"lower bound",50166,74783],[3,15,"f","(6,2,2,2,2,1)",63700,40717,"lower bound",40717,63205],[3,15,"f","(6,3,1,1,1,1,1,1)",43120,33845,"lower bound",33845,42986],[3,15,"f","(6,3,2,1,1,1,1)",150150,95187,"lower bound",95187,149597],[3,15,"f","(6,3,2,2,1,1)",221130,121586,"lower bound",121586,219263],[3,15,"f","(6,3,2,2,2)",112112,61228,"lower bound",61228,110790],[3,15,"f","(6,3,3,1,1,1)",156000,81950,"lower bound",81950,154562],[3,15,"f","(6,3,3,2,1)",210210,104082,"lower bound",104082,207167],[3,15,"f","(6,3,3,3)",50050,24648,"lower bound",24648,49118],[3,15,"f","(6,4,1,1,1,1,1)",70070,46434,"lower bound",46434,69684],[3,15,"f","(6,4,2,1,1,1)",221130,117895,"lower bound",117895,218781],[3,15,"f","(6,4,2,2,1)",243243,117248,"lower bound",117248,239255],[3,15,"f","(6,4,3,1,1)",231660,110650,"lower bound",110650,227376],[3,15,"f","(6,4,3,2)",175175,81055,"lower bound",81055,171311],[3,15,"f","(6,4,4,1)",80080,39924,"lower bound",39924,77933],[3,15,"f","(6,5,1,1,1,1)",63700,39494,"lower bound",39494,62812],[3,15,"f","(6,5,2,1,1)",162162,82908,"lower bound",82908,158546],[3,15,"f","(6,5,2,2)",100100,46121,"lower bound",46121,97468],[3,15,"f","(6,5,3,1)",128700,64784,"lower bound",64784,124789],[3,15,"f","(6,5,4)",30030,19475,"lower bound",19475,27887],[3,15,"f","(6,6,1,1,1)",28028,17537,"lower bound",17537,27195],[3,15,"f","(6,6,2,1)",50050,26722,"lower bound",26722,48113],[3,15,"f","(6,6,3)",21450,13953,"lower bound",13953,19143],[3,15,"f","(7,1,1,1,1,1,1,1,1)",3003,2990,"exact",2990,2990],[3,15,"f","(7,2,1,1,1,1,1,1)",19305,17269,"lower bound",17269,19195],[3,15,"f","(7,2,2,1,1,1,1)",51975,36650,"lower bound",36650,51583],[3,15,"f","(7,2,2,2,1,1)",70070,41850,"lower bound",41850,69118],[3,15,"f","(7,2,2,2,2)",34398,20776,"lower bound",20776,33750],[3,15,"f","(7,3,1,1,1,1,1)",51975,35930,"lower bound",35930,51554],[3,15,"f","(7,3,2,1,1,1)",150150,80212,"lower bound",80212,147881],[3,15,"f","(7,3,2,2,1)",159250,77339,"lower bound",77339,155576],[3,15,"f","(7,3,3,1,1)",122850,55315,"lower bound",55315,119678],[3,15,"f","(7,3,3,2)",90090,39549,"lower bound",39549,87352],[3,15,"f","(7,4,1,1,1,1)",75075,42759,"lower bound",42759,73657],[3,15,"f","(7,4,2,1,1)",184275,86646,"lower bound",86646,179002],[3,15,"f","(7,4,2,2)",112112,49303,"lower bound",49303,108335],[3,15,"f","(7,4,3,1)",135135,62849,"lower bound",62849,129972],[3,15,"f","(7,4,4)",25025,15366,"lower bound",15366,22530],[3,15,"f","(7,5,1,1,1)",61425,35747,"lower bound",35747,59253],[3,15,"f","(7,5,2,1)",108108,54509,"lower bound",54509,103148],[3,15,"f","(7,5,3)",45045,27882,"lower bound",27882,40067],[3,15,"f","(7,6,1,1)",27027,16877,"lower bound",16877,24240],[3,15,"f","(7,6,2)",25025,15415,"lower bound",15415,22035],[3,15,"f","(7,7,1)",5005,3400,"lower bound",3400,3983],[3,15,"f","(8,1,1,1,1,1,1,1)",3432,3368,"lower bound",3368,3370],[3,15,"f","(8,2,1,1,1,1,1)",19305,15175,"lower bound",15175,18962],[3,15,"f","(8,2,2,1,1,1)",43120,25923,"lower bound",25923,41971],[3,15,"f","(8,2,2,2,1)",42042,24215,"lower bound",24215,40242],[3,15,"f","(8,3,1,1,1,1)",44550,25977,"lower bound",25977,43262],[3,15,"f","(8,3,2,1,1)",100100,47701,"lower bound",47701,95773],[3,15,"f","(8,3,2,2)",58968,27980,"lower bound",27980,55674],[3,15,"f","(8,3,3,1)",57330,25927,"lower bound",25927,53803],[3,15,"f","(8,4,1,1,1)",53625,28274,"lower bound",28274,50991],[3,15,"f","(8,4,2,1)",91000,42761,"lower bound",42761,85273],[3,15,"f","(8,4,3)",35035,20061,"lower bound",20061,30008],[3,15,"f","(8,5,1,1)",35100,20253,"lower bound",20253,31043],[3,15,"f","(8,5,2)",32032,18044,"lower bound",18044,27578],[3,15,"f","(8,6,1)",11583,7458,"lower bound",7458,8967],[3,15,"f","(8,7)",1430,998,"exact",998,998],[3,15,"f","(9,1,1,1,1,1,1)",3003,2831,"lower bound",2831,2835],[3,15,"f","(9,2,1,1,1,1)",14300,9070,"lower bound",9070,12865],[3,15,"f","(9,2,2,1,1)",24948,13209,"lower bound",13209,22701],[3,15,"f","(9,2,2,2)",13650,7939,"lower bound",7939,11369],[3,15,"f","(9,3,1,1,1)",26950,13430,"lower bound",13430,24167],[3,15,"f","(9,3,2,1)",42042,19631,"lower bound",19631,36748],[3,15,"f","(9,3,3)",12740,7126,"lower bound",7126,9887],[3,15,"f","(9,4,1,1)",25025,12593,"lower bound",12593,20948],[3,15,"f","(9,4,2)",22113,11508,"lower bound",11508,18065],[3,15,"f","(9,5,1)",11375,6606,"lower bound",6606,8279],[3,15,"f","(9,6)",2002,1319,"lower bound",1319,1320],[3,15,"f","(10,1,1,1,1,1)",2002,1658,"lower bound",1658,1665],[3,15,"f","(10,2,1,1,1)",7722,4035,"lower bound",4035,5852],[3,15,"f","(10,2,2,1)",9450,4568,"lower bound",4568,6756],[3,15,"f","(10,3,1,1)",11088,4811,"lower bound",4811,7695],[3,15,"f","(10,3,2)",9100,4462,"lower bound",4462,6063],[3,15,"f","(10,4,1)",7007,3515,"lower bound",3515,4495],[3,15,"f","(10,5)",1638,951,"lower bound",951,953],[3,15,"f","(11,1,1,1,1)",1001,576,"lower bound",576,580],[3,15,"f","(11,2,1,1)",2925,1515,"lower bound",1515,1555],[3,15,"f","(11,2,2)",1925,956,"exact",956,956],[3,15,"f","(11,3,1)",2835,1349,"lower bound",1349,1397],[3,15,"f","(11,4)",910,407,"exact",407,407],[3,15,"f","(12,1,1,1)",364,84,"exact",84,84],[3,15,"f","(12,2,1)",715,168,"exact",168,168],[3,15,"f","(12,3)",350,84,"exact",84,84],[3,15,"f","(13,1,1)",91,0,"exact",0,0],[3,15,"f","(13,2)",90,0,"exact",0,0],[3,15,"f","(14,1)",14,0,"exact",0,0],[3,15,"f","(15)",1,0,"exact",0,0],[3,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,16,"f","(10,1,1,1,1,1,1)",5005,4489,"lower bound",4489,4795],[3,16,"f","(10,2,1,1,1,1)",24024,14763,"lower bound",14763,24024],[3,16,"f","(10,2,2,1,1)",42120,21812,"lower bound",21812,42075],[3,16,"f","(10,2,2,2)",23100,12507,"lower bound",12507,23055],[3,16,"f","(10,3,1,1,1)",45760,22276,"lower bound",22276,45628],[3,16,"f","(10,3,2,1)",71680,33472,"lower bound",33472,71360],[3,16,"f","(10,3,3)",21840,11588,"lower bound",11588,21696],[3,16,"f","(10,4,1,1)",43120,20919,"lower bound",20919,42714],[3,16,"f","(10,4,2)",38220,19485,"lower bound",19485,37800],[3,16,"f","(10,5,1)",20020,11072,"lower bound",11072,19615],[3,16,"f","(10,6)",3640,2595,"lower bound",2595,2674],[3,16,"f","(11,1,1,1,1,1)",3003,2577,"lower bound",2577,2589],[3,16,"f","(11,2,1,1,1)",11648,6126,"lower bound",6126,9301],[3,16,"f","(11,2,2,1)",14300,7039,"lower bound",7039,10887],[3,16,"f","(11,3,1,1)",16848,7675,"lower bound",7675,12534],[3,16,"f","(11,3,2)",13860,6767,"lower bound",6767,9973],[3,16,"f","(11,4,1)",10752,5271,"lower bound",5271,7471],[3,16,"f","(11,5)",2548,1634,"lower bound",1634,1668],[3,16,"f","(12,1,1,1,1)",1365,846,"lower bound",846,850],[3,16,"f","(12,2,1,1)",4004,1900,"lower bound",1900,2335],[3,16,"f","(12,2,2)",2640,1444,"lower bound",1444,1477],[3,16,"f","(12,3,1)",3900,2049,"lower bound",2049,2122],[3,16,"f","(12,4)",1260,629,"exact",629,629],[3,16,"f","(13,1,1,1)",455,120,"exact",120,120],[3,16,"f","(13,2,1)",896,240,"exact",240,240],[3,16,"f","(13,3)",440,120,"exact",120,120],[3,16,"f","(14,1,1)",105,0,"exact",0,0],[3,16,"f","(14,2)",104,0,"exact",0,0],[3,16,"f","(15,1)",15,0,"exact",0,0],[3,16,"f","(16)",1,0,"exact",0,0],[3,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[3,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[3,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[3,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[3,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[3,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[3,16,"f","(2,2,2,2,2,2,2,1,1)",3432,3430,"lower bound",3430,3432],[3,16,"f","(2,2,2,2,2,2,2,2)",1430,1426,"exact",1426,1426],[3,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[3,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[3,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[3,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[3,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[3,16,"f","(3,2,2,2,2,2,1,1,1)",24960,22820,"lower bound",22820,24960],[3,16,"f","(3,2,2,2,2,2,2,1)",18018,16321,"lower bound",16321,18018],[3,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[3,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[3,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[3,16,"f","(3,3,2,2,2,1,1,1,1)",65520,57766,"lower bound",57766,65520],[3,16,"f","(3,3,2,2,2,2,1,1)",68640,58004,"lower bound",58004,68640],[3,16,"f","(3,3,2,2,2,2,2)",30030,25099,"lower bound",25099,30030],[3,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[3,16,"f","(3,3,3,2,1,1,1,1,1)",69888,62905,"lower bound",62905,69888],[3,16,"f","(3,3,3,2,2,1,1,1)",112112,93475,"lower bound",93475,112112],[3,16,"f","(3,3,3,2,2,2,1)",91520,74027,"lower bound",74027,91520],[3,16,"f","(3,3,3,3,1,1,1,1)",60060,49862,"lower bound",49862,60060],[3,16,"f","(3,3,3,3,2,1,1)",100100,79722,"lower bound",79722,100100],[3,16,"f","(3,3,3,3,2,2)",51480,40906,"lower bound",40906,51480],[3,16,"f","(3,3,3,3,3,1)",36036,28763,"lower bound",28763,36036],[3,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[3,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[3,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[3,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[3,16,"f","(4,2,2,2,2,1,1,1,1)",71500,62359,"lower bound",62359,71500],[3,16,"f","(4,2,2,2,2,2,1,1)",73710,60589,"lower bound",60589,73710],[3,16,"f","(4,2,2,2,2,2,2)",32032,25712,"lower bound",25712,32032],[3,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[3,16,"f","(4,3,2,2,1,1,1,1,1)",180180,155288,"lower bound",155288,180180],[3,16,"f","(4,3,2,2,2,1,1,1)",266240,207387,"lower bound",207387,266240],[3,16,"f","(4,3,2,2,2,2,1)",210210,154945,"lower bound",154945,210210],[3,16,"f","(4,3,3,1,1,1,1,1,1)",112112,98720,"lower bound",98720,112112],[3,16,"f","(4,3,3,2,1,1,1,1)",318500,246464,"lower bound",246464,318500],[3,16,"f","(4,3,3,2,2,1,1)",416988,297294,"lower bound",297294,416988],[3,16,"f","(4,3,3,2,2,2)",200200,138818,"lower bound",138818,200200],[3,16,"f","(4,3,3,3,1,1,1)",240240,168937,"lower bound",168937,240240],[3,16,"f","(4,3,3,3,2,1)",292864,200669,"lower bound",200669,292864],[3,16,"f","(4,3,3,3,3)",60060,41962,"lower bound",41962,60060],[3,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[3,16,"f","(4,4,2,1,1,1,1,1,1)",114660,100711,"lower bound",100711,114660],[3,16,"f","(4,4,2,2,1,1,1,1)",262080,198339,"lower bound",198339,262080],[3,16,"f","(4,4,2,2,2,1,1)",320320,217844,"lower bound",217844,320320],[3,16,"f","(4,4,2,2,2,2)",150150,97611,"lower bound",97611,150150],[3,16,"f","(4,4,3,1,1,1,1,1)",206388,158095,"lower bound",158095,206388],[3,16,"f","(4,4,3,2,1,1,1)",512512,343214,"lower bound",343214,512512],[3,16,"f","(4,4,3,2,2,1)",500500,315957,"lower bound",315957,500500],[3,16,"f","(4,4,3,3,1,1)",336336,211597,"lower bound",211597,336336],[3,16,"f","(4,4,3,3,2)",231660,145987,"lower bound",145987,231660],[3,16,"f","(4,4,4,1,1,1,1)",140140,93431,"lower bound",93431,140140],[3,16,"f","(4,4,4,2,1,1)",300300,184512,"lower bound",184512,300300],[3,16,"f","(4,4,4,2,2)",171600,104220,"lower bound",104220,171600],[3,16,"f","(4,4,4,3,1)",180180,112158,"lower bound",112158,180180],[3,16,"f","(4,4,4,4)",24024,16070,"lower bound",16070,24024],[3,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[3,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[3,16,"f","(5,2,2,2,1,1,1,1,1)",105600,89565,"lower bound",89565,105600],[3,16,"f","(5,2,2,2,2,1,1,1)",150150,115955,"lower bound",115955,150150],[3,16,"f","(5,2,2,2,2,2,1)",116480,85761,"lower bound",85761,116480],[3,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[3,16,"f","(5,3,2,1,1,1,1,1,1)",194040,163300,"lower bound",163300,194040],[3,16,"f","(5,3,2,2,1,1,1,1)",429000,315529,"lower bound",315529,429000],[3,16,"f","(5,3,2,2,2,1,1)",515970,347162,"lower bound",347162,515970],[3,16,"f","(5,3,2,2,2,2)",240240,156650,"lower bound",156650,240240],[3,16,"f","(5,3,3,1,1,1,1,1)",280280,205430,"lower bound",205430,280280],[3,16,"f","(5,3,3,2,1,1,1)",673920,435469,"lower bound",435469,673920],[3,16,"f","(5,3,3,2,2,1)",648648,398964,"lower bound",398964,648648],[3,16,"f","(5,3,3,3,1,1)",411840,247639,"lower bound",247639,411840],[3,16,"f","(5,3,3,3,2)",280280,169017,"lower bound",169017,280280],[3,16,"f","(5,4,1,1,1,1,1,1,1)",80640,69877,"lower bound",69877,80640],[3,16,"f","(5,4,2,1,1,1,1,1)",360360,265719,"lower bound",265719,360360],[3,16,"f","(5,4,2,2,1,1,1)",698880,444201,"lower bound",444201,698880],[3,16,"f","(5,4,2,2,2,1)",630630,373220,"lower bound",373220,630630],[3,16,"f","(5,4,3,1,1,1,1)",582400,367596,"lower bound",367596,582400],[3,16,"f","(5,4,3,2,1,1)",1153152,659304,"lower bound",659304,1153152],[3,16,"f","(5,4,3,2,2)",640640,358641,"lower bound",358641,640640],[3,16,"f","(5,4,3,3,1)",549120,306428,"lower bound",306428,549120],[3,16,"f","(5,4,4,1,1,1)",360360,204133,"lower bound",204133,360360],[3,16,"f","(5,4,4,2,1)",549120,300208,"lower bound",300208,549120],[3,16,"f","(5,4,4,3)",180180,101278,"lower bound",101278,180180],[3,16,"f","(5,5,1,1,1,1,1,1)",76440,59356,"lower bound",59356,76440],[3,16,"f","(5,5,2,1,1,1,1)",305760,196403,"lower bound",196403,305760],[3,16,"f","(5,5,2,2,1,1)",480480,269960,"lower bound",269960,480480],[3,16,"f","(5,5,2,2,2)",250250,134218,"lower bound",134218,250250],[3,16,"f","(5,5,3,1,1,1)",448448,251049,"lower bound",251049,448448],[3,16,"f","(5,5,3,2,1)",640640,335860,"lower bound",335860,640640],[3,16,"f","(5,5,3,3)",171600,89547,"lower bound",89547,171600],[3,16,"f","(5,5,4,1,1)",280280,149733,"lower bound",149733,280277],[3,16,"f","(5,5,4,2)",231660,121563,"lower bound",121563,231657],[3,16,"f","(5,5,5,1)",60060,33558,"lower bound",33558,60056],[3,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[3,16,"f","(6,2,2,1,1,1,1,1,1)",85800,72978,"lower bound",72978,85800],[3,16,"f","(6,2,2,2,1,1,1,1)",173250,127867,"lower bound",127867,173250],[3,16,"f","(6,2,2,2,2,1,1)",200200,135482,"lower bound",135482,200200],[3,16,"f","(6,2,2,2,2,2)",91728,60683,"lower bound",60683,91728],[3,16,"f","(6,3,1,1,1,1,1,1,1)",82368,69521,"lower bound",69521,82368],[3,16,"f","(6,3,2,1,1,1,1,1)",337920,241991,"lower bound",241991,337920],[3,16,"f","(6,3,2,2,1,1,1)",630630,389450,"lower bound",389450,630630],[3,16,"f","(6,3,2,2,2,1)",559104,325316,"lower bound",325316,559104],[3,16,"f","(6,3,3,1,1,1,1)",429000,257724,"lower bound",257724,429000],[3,16,"f","(6,3,3,2,1,1)",819000,443993,"lower bound",443993,819000],[3,16,"f","(6,3,3,2,2)",448448,239361,"lower bound",239361,448448],[3,16,"f","(6,3,3,3,1)",360360,186757,"lower bound",186757,360360],[3,16,"f","(6,4,1,1,1,1,1,1)",155232,114505,"lower bound",114505,155232],[3,16,"f","(6,4,2,1,1,1,1)",600600,365002,"lower bound",365002,600600],[3,16,"f","(6,4,2,2,1,1)",928746,496068,"lower bound",496068,928746],[3,16,"f","(6,4,2,2,2)",480480,247860,"lower bound",247860,480480],[3,16,"f","(6,4,3,1,1,1)",819000,429567,"lower bound",429567,819000],[3,16,"f","(6,4,3,2,1)",1153152,569651,"lower bound",569651,1153152],[3,16,"f","(6,4,3,3)",300300,147030,"lower bound",147030,300300],[3,16,"f","(6,4,4,1,1)",411840,204655,"lower bound",204655,411834],[3,16,"f","(6,4,4,2)",336336,164860,"lower bound",164860,336330],[3,16,"f","(6,5,1,1,1,1,1)",168168,111058,"lower bound",111058,168168],[3,16,"f","(6,5,2,1,1,1)",559104,306084,"lower bound",306084,559104],[3,16,"f","(6,5,2,2,1)",630630,311111,"lower bound",311111,630630],[3,16,"f","(6,5,3,1,1)",648648,324532,"lower bound",324532,648633],[3,16,"f","(6,5,3,2)",500500,240180,"lower bound",240180,500485],[3,16,"f","(6,5,4,1)",292864,153645,"lower bound",153645,292832],[3,16,"f","(6,5,5)",36036,23571,"lower bound",23571,36024],[3,16,"f","(6,6,1,1,1,1)",91728,57031,"lower bound",57031,91728],[3,16,"f","(6,6,2,1,1)",240240,127167,"lower bound",127167,240225],[3,16,"f","(6,6,2,2)",150150,72843,"lower bound",72843,150135],[3,16,"f","(6,6,3,1)",200200,105459,"lower bound",105459,200160],[3,16,"f","(6,6,4)",51480,33428,"lower bound",33428,51456],[3,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[3,16,"f","(7,2,1,1,1,1,1,1,1)",36608,33570,"lower bound",33570,36608],[3,16,"f","(7,2,2,1,1,1,1,1)",115830,89275,"lower bound",89275,115830],[3,16,"f","(7,2,2,2,1,1,1)",197120,128666,"lower bound",128666,197120],[3,16,"f","(7,2,2,2,2,1)",168168,103343,"lower bound",103343,168168],[3,16,"f","(7,3,1,1,1,1,1,1)",114400,87044,"lower bound",87044,114400],[3,16,"f","(7,3,2,1,1,1,1)",404250,247979,"lower bound",247979,404250],[3,16,"f","(7,3,2,2,1,1)",600600,320987,"lower bound",320987,600600],[3,16,"f","(7,3,2,2,2)",305760,159343,"lower bound",159343,305760],[3,16,"f","(7,3,3,1,1,1)",429000,217477,"lower bound",217477,429000],[3,16,"f","(7,3,3,2,1)",582400,276285,"lower bound",276285,582400],[3,16,"f","(7,3,3,3)",140140,64197,"lower bound",64197,140140],[3,16,"f","(7,4,1,1,1,1,1)",197120,125123,"lower bound",125123,197120],[3,16,"f","(7,4,2,1,1,1)",630630,327512,"lower bound",327512,630630],[3,16,"f","(7,4,2,2,1)",698880,330536,"lower bound",330536,698880],[3,16,"f","(7,4,3,1,1)",673920,315460,"lower bound",315460,673896],[3,16,"f","(7,4,3,2)",512512,232756,"lower bound",232756,512488],[3,16,"f","(7,4,4,1)",240240,118139,"lower bound",118139,240200],[3,16,"f","(7,5,1,1,1,1)",200200,118000,"lower bound",118000,200200],[3,16,"f","(7,5,2,1,1)",515970,259810,"lower bound",259810,515928],[3,16,"f","(7,5,2,2)",320320,149933,"lower bound",149933,320278],[3,16,"f","(7,5,3,1)",416988,210024,"lower bound",210024,416880],[3,16,"f","(7,5,4)",100100,62723,"lower bound",62723,100040],[3,16,"f","(7,6,1,1,1)",116480,70161,"lower bound",70161,116432],[3,16,"f","(7,6,2,1)",210210,113523,"lower bound",113523,210070],[3,16,"f","(7,6,3)",91520,57250,"lower bound",57250,91424],[3,16,"f","(7,7,1,1)",32032,20277,"lower bound",20277,31956],[3,16,"f","(7,7,2)",30030,18815,"lower bound",18815,29946],[3,16,"f","(8,1,1,1,1,1,1,1,1)",6435,6358,"lower bound",6358,6428],[3,16,"f","(8,2,1,1,1,1,1,1)",42042,35812,"lower bound",35812,42042],[3,16,"f","(8,2,2,1,1,1,1)",114400,77748,"lower bound",77748,114400],[3,16,"f","(8,2,2,2,1,1)",155232,91988,"lower bound",91988,155232],[3,16,"f","(8,2,2,2,2)",76440,44991,"lower bound",44991,76440],[3,16,"f","(8,3,1,1,1,1,1)",115830,77082,"lower bound",77082,115830],[3,16,"f","(8,3,2,1,1,1)",337920,179813,"lower bound",179813,337920],[3,16,"f","(8,3,2,2,1)",360360,177235,"lower bound",177235,360360],[3,16,"f","(8,3,3,1,1)",280280,128943,"lower bound",128943,280259],[3,16,"f","(8,3,3,2)",206388,93456,"lower bound",93456,206367],[3,16,"f","(8,4,1,1,1,1)",173250,97010,"lower bound",97010,173250],[3,16,"f","(8,4,2,1,1)",429000,205382,"lower bound",205382,428940],[3,16,"f","(8,4,2,2)",262080,120044,"lower bound",120044,262020],[3,16,"f","(8,4,3,1)",318500,151598,"lower bound",151598,318360],[3,16,"f","(8,4,4)",60060,35427,"lower bound",35427,60000],[3,16,"f","(8,5,1,1,1)",150150,84274,"lower bound",84274,150060],[3,16,"f","(8,5,2,1)",266240,135567,"lower bound",135567,265984],[3,16,"f","(8,5,3)",112112,65987,"lower bound",65987,111944],[3,16,"f","(8,6,1,1)",73710,44588,"lower bound",44588,73491],[3,16,"f","(8,6,2)",68640,40917,"lower bound",40917,68400],[3,16,"f","(8,7,1)",18018,11856,"lower bound",11856,15355],[3,16,"f","(8,8)",1430,1120,"exact",1120,1120],[3,16,"f","(9,1,1,1,1,1,1,1)",6435,6199,"lower bound",6199,6429],[3,16,"f","(9,2,1,1,1,1,1)",36608,27076,"lower bound",27076,36608],[3,16,"f","(9,2,2,1,1,1)",82368,48202,"lower bound",48202,82368],[3,16,"f","(9,2,2,2,1)",80640,45363,"lower bound",45363,80640],[3,16,"f","(9,3,1,1,1,1)",85800,48477,"lower bound",48477,85800],[3,16,"f","(9,3,2,1,1)",194040,93971,"lower bound",93971,193977],[3,16,"f","(9,3,2,2)",114660,55550,"lower bound",55550,114597],[3,16,"f","(9,3,3,1)",112112,52684,"lower bound",52684,112000],[3,16,"f","(9,4,1,1,1)",105600,54297,"lower bound",54297,105480],[3,16,"f","(9,4,2,1)",180180,86493,"lower bound",86493,179856],[3,16,"f","(9,4,3)",69888,38695,"lower bound",38695,69696],[3,16,"f","(9,5,1,1)",71500,39452,"lower bound",39452,71165],[3,16,"f","(9,5,2)",65520,36158,"lower bound",36158,65160],[3,16,"f","(9,6,1)",24960,15383,"lower bound",15383,24660],[3,16,"f","(9,7)",3432,2528,"lower bound",2528,2670],[3,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,17,"f","(10,1,1,1,1,1,1,1)",11440,10688,"lower bound",10688,11383],[3,17,"f","(10,2,1,1,1,1,1)",65637,46328,"lower bound",46328,65637],[3,17,"f","(10,2,2,1,1,1)",148512,84777,"lower bound",84777,148512],[3,17,"f","(10,2,2,2,1)",145860,79682,"lower bound",79682,145860],[3,17,"f","(10,3,1,1,1,1)",155584,85516,"lower bound",85516,155584],[3,17,"f","(10,3,2,1,1)",353600,171531,"lower bound",171531,353520],[3,17,"f","(10,3,2,2)",209440,101529,"lower bound",101529,209360],[3,17,"f","(10,3,3,1)",205632,97744,"lower bound",97744,205488],[3,17,"f","(10,4,1,1,1)",194480,97492,"lower bound",97492,194326],[3,17,"f","(10,4,2,1)",333200,160369,"lower bound",160369,332780],[3,17,"f","(10,4,3)",129948,69768,"lower bound",69768,129696],[3,17,"f","(10,5,1,1)",134640,71443,"lower bound",71443,134196],[3,17,"f","(10,5,2)",123760,66715,"lower bound",66715,123280],[3,17,"f","(10,6,1)",48620,29050,"lower bound",29050,48205],[3,17,"f","(10,7)",7072,5123,"lower bound",5123,5852],[3,17,"f","(11,1,1,1,1,1,1)",8008,7066,"lower bound",7066,7825],[3,17,"f","(11,2,1,1,1,1)",38675,23466,"lower bound",23466,38675],[3,17,"f","(11,2,2,1,1)",68068,34977,"lower bound",34977,68013],[3,17,"f","(11,2,2,2)",37400,19546,"lower bound",19546,37345],[3,17,"f","(11,3,1,1,1)",74256,36077,"lower bound",36077,74094],[3,17,"f","(11,3,2,1)",116688,54953,"lower bound",54953,116292],[3,17,"f","(11,3,3)",35700,18355,"lower bound",18355,35520],[3,17,"f","(11,4,1,1)",70720,33865,"lower bound",33865,70212],[3,17,"f","(11,4,2)",62832,31523,"lower bound",31523,62304],[3,17,"f","(11,5,1)",33320,17977,"lower bound",17977,32802],[3,17,"f","(11,6)",6188,4229,"lower bound",4229,4854],[3,17,"f","(12,1,1,1,1,1)",4368,3423,"lower bound",3423,3865],[3,17,"f","(12,2,1,1,1)",17017,8872,"lower bound",8872,14148],[3,17,"f","(12,2,2,1)",20944,10383,"lower bound",10383,20680],[3,17,"f","(12,3,1,1)",24752,11624,"lower bound",11624,24252],[3,17,"f","(12,3,2)",20400,10260,"lower bound",10260,19920],[3,17,"f","(12,4,1)",15912,7949,"lower bound",7949,11800],[3,17,"f","(12,5)",3808,2263,"lower bound",2263,2683],[3,17,"f","(13,1,1,1,1)",1820,966,"lower bound",966,1202],[3,17,"f","(13,2,1,1)",5355,2260,"lower bound",2260,3315],[3,17,"f","(13,2,2)",3536,1684,"lower bound",1684,2144],[3,17,"f","(13,3,1)",5236,2409,"lower bound",2409,3090],[3,17,"f","(13,4)",1700,749,"lower bound",749,927],[3,17,"f","(14,1,1,1)",560,120,"lower bound",120,165],[3,17,"f","(14,2,1)",1105,240,"lower bound",240,330],[3,17,"f","(14,3)",544,120,"lower bound",120,165],[3,17,"f","(15,1,1)",120,0,"exact",0,0],[3,17,"f","(15,2)",119,0,"exact",0,0],[3,17,"f","(16,1)",16,0,"exact",0,0],[3,17,"f","(17)",1,0,"exact",0,0],[3,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[3,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[3,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[3,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[3,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[3,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[3,17,"f","(2,2,2,2,2,2,2,2,1)",4862,4856,"lower bound",4856,4862],[3,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[3,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[3,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[3,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[3,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[3,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[3,17,"f","(3,2,2,2,2,2,2,1,1)",46410,42571,"lower bound",42571,46410],[3,17,"f","(3,2,2,2,2,2,2,2)",19448,17747,"lower bound",17747,19448],[3,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[3,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[3,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[3,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[3,17,"f","(3,3,2,2,2,2,1,1,1)",159120,138590,"lower bound",138590,159120],[3,17,"f","(3,3,2,2,2,2,2,1)",116688,99424,"lower bound",99424,116688],[3,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[3,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"f","(3,3,3,2,2,1,1,1,1)",247520,214146,"lower bound",214146,247520],[3,17,"f","(3,3,3,2,2,2,1,1)",272272,225506,"lower bound",225506,272272],[3,17,"f","(3,3,3,2,2,2,2)",121550,99126,"lower bound",99126,121550],[3,17,"f","(3,3,3,3,1,1,1,1,1)",129948,112767,"lower bound",112767,129948],[3,17,"f","(3,3,3,3,2,1,1,1)",272272,223059,"lower bound",223059,272272],[3,17,"f","(3,3,3,3,2,2,1)",243100,194655,"lower bound",194655,243100],[3,17,"f","(3,3,3,3,3,1,1)",136136,108485,"lower bound",108485,136136],[3,17,"f","(3,3,3,3,3,2)",87516,69669,"lower bound",69669,87516],[3,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[3,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[3,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[3,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[3,17,"f","(4,2,2,2,2,2,1,1,1)",170170,145768,"lower bound",145768,170170],[3,17,"f","(4,2,2,2,2,2,2,1)",123760,102622,"lower bound",102622,123760],[3,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[3,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[3,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[3,17,"f","(4,3,2,2,2,1,1,1,1)",583440,482800,"lower bound",482800,583440],[3,17,"f","(4,3,2,2,2,2,1,1)",618800,480925,"lower bound",480925,618800],[3,17,"f","(4,3,2,2,2,2,2)",272272,205756,"lower bound",205756,272272],[3,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[3,17,"f","(4,3,3,2,1,1,1,1,1)",680680,563377,"lower bound",563377,680680],[3,17,"f","(4,3,3,2,2,1,1,1)",1113840,844620,"lower bound",844620,1113840],[3,17,"f","(4,3,3,2,2,2,1)",918918,665084,"lower bound",665084,918918],[3,17,"f","(4,3,3,3,1,1,1,1)",618800,465263,"lower bound",465263,618800],[3,17,"f","(4,3,3,3,2,1,1)",1050192,746622,"lower bound",746622,1050192],[3,17,"f","(4,3,3,3,2,2)",544544,380393,"lower bound",380393,544544],[3,17,"f","(4,3,3,3,3,1)",388960,271394,"lower bound",271394,388960],[3,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[3,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[3,17,"f","(4,4,2,2,1,1,1,1,1)",556920,454338,"lower bound",454338,556920],[3,17,"f","(4,4,2,2,2,1,1,1)",848640,623570,"lower bound",623570,848640],[3,17,"f","(4,4,2,2,2,2,1)",680680,470400,"lower bound",470400,680680],[3,17,"f","(4,4,3,1,1,1,1,1,1)",433160,357526,"lower bound",357526,433160],[3,17,"f","(4,4,3,2,1,1,1,1)",1299480,946112,"lower bound",946112,1299480],[3,17,"f","(4,4,3,2,2,1,1)",1750320,1174309,"lower bound",1174309,1750320],[3,17,"f","(4,4,3,2,2,2)",850850,552386,"lower bound",552386,850850],[3,17,"f","(4,4,3,3,1,1,1)",1089088,723748,"lower bound",723748,1089088],[3,17,"f","(4,4,3,3,2,1)",1361360,874210,"lower bound",874210,1361360],[3,17,"f","(4,4,3,3,3)",291720,187949,"lower bound",187949,291720],[3,17,"f","(4,4,4,1,1,1,1,1)",346528,251526,"lower bound",251526,346528],[3,17,"f","(4,4,4,2,1,1,1)",952952,621157,"lower bound",621157,952952],[3,17,"f","(4,4,4,2,2,1)",972400,604689,"lower bound",604689,972400],[3,17,"f","(4,4,4,3,1,1)",816816,508267,"lower bound",508267,816816],[3,17,"f","(4,4,4,3,2)",583440,362365,"lower bound",362365,583440],[3,17,"f","(4,4,4,4,1)",204204,128228,"lower bound",128228,204204],[3,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[3,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[3,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[3,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[3,17,"f","(5,2,2,2,2,1,1,1,1)",327250,267879,"lower bound",267879,327250],[3,17,"f","(5,2,2,2,2,2,1,1)",340340,262305,"lower bound",262305,340340],[3,17,"f","(5,2,2,2,2,2,2)",148512,111473,"lower bound",111473,148512],[3,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[3,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[3,17,"f","(5,3,2,2,1,1,1,1,1)",908820,723682,"lower bound",723682,908820],[3,17,"f","(5,3,2,2,2,1,1,1)",1361360,986033,"lower bound",986033,1361360],[3,17,"f","(5,3,2,2,2,2,1)",1082900,744518,"lower bound",744518,1082900],[3,17,"f","(5,3,3,1,1,1,1,1,1)",586432,467450,"lower bound",467450,586432],[3,17,"f","(5,3,3,2,1,1,1,1)",1701700,1202892,"lower bound",1202892,1701700],[3,17,"f","(5,3,3,2,2,1,1)",2255526,1478889,"lower bound",1478889,2255526],[3,17,"f","(5,3,3,2,2,2)",1089088,694432,"lower bound",694432,1089088],[3,17,"f","(5,3,3,3,1,1,1)",1326000,852045,"lower bound",852045,1326000],[3,17,"f","(5,3,3,3,2,1)",1633632,1016289,"lower bound",1016289,1633632],[3,17,"f","(5,3,3,3,3)",340340,210979,"lower bound",210979,340340],[3,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[3,17,"f","(5,4,2,1,1,1,1,1,1)",749700,599607,"lower bound",599607,749700],[3,17,"f","(5,4,2,2,1,1,1,1)",1750320,1223788,"lower bound",1223788,1750320],[3,17,"f","(5,4,2,2,2,1,1)",2165800,1382427,"lower bound",1382427,2165800],[3,17,"f","(5,4,2,2,2,2)",1021020,627481,"lower bound",627481,1021020],[3,17,"f","(5,4,3,1,1,1,1,1)",1429428,996840,"lower bound",996840,1429428],[3,17,"f","(5,4,3,2,1,1,1)",3620864,2249784,"lower bound",2249784,3620864],[3,17,"f","(5,4,3,2,2,1)",3573570,2106086,"lower bound",2106086,3573570],[3,17,"f","(5,4,3,3,1,1)",2450448,1424968,"lower bound",1424968,2450448],[3,17,"f","(5,4,3,3,2)",1701700,980073,"lower bound",980073,1701700],[3,17,"f","(5,4,4,1,1,1,1)",1082900,665160,"lower bound",665160,1082900],[3,17,"f","(5,4,4,2,1,1)",2362932,1348157,"lower bound",1348157,2362932],[3,17,"f","(5,4,4,2,2)",1361360,763069,"lower bound",763069,1361360],[3,17,"f","(5,4,4,3,1)",1458600,820072,"lower bound",820072,1458600],[3,17,"f","(5,4,4,4)",204204,117348,"lower bound",117348,204204],[3,17,"f","(5,5,1,1,1,1,1,1,1)",157080,129233,"lower bound",129233,157080],[3,17,"f","(5,5,2,1,1,1,1,1)",742560,521478,"lower bound",521478,742560],[3,17,"f","(5,5,2,2,1,1,1)",1485120,910564,"lower bound",910564,1485120],[3,17,"f","(5,5,2,2,2,1)",1361360,777398,"lower bound",777398,1361360],[3,17,"f","(5,5,3,1,1,1,1)",1336608,815048,"lower bound",815048,1336608],[3,17,"f","(5,5,3,2,1,1)",2722720,1516173,"lower bound",1516173,2722720],[3,17,"f","(5,5,3,2,2)",1531530,828719,"lower bound",828719,1531530],[3,17,"f","(5,5,3,3,1)",1361360,731835,"lower bound",731835,1361360],[3,17,"f","(5,5,4,1,1,1)",1089088,604915,"lower bound",604915,1089088],[3,17,"f","(5,5,4,2,1)",1701700,907364,"lower bound",907364,1701700],[3,17,"f","(5,5,4,3)",583440,312388,"lower bound",312388,583440],[3,17,"f","(5,5,5,1,1)",340340,183291,"lower bound",183291,340339],[3,17,"f","(5,5,5,2)",291720,155121,"lower bound",155121,291719],[3,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[3,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[3,17,"f","(6,2,2,2,1,1,1,1,1)",364650,290410,"lower bound",290410,364650],[3,17,"f","(6,2,2,2,2,1,1,1)",523600,379304,"lower bound",379304,523600],[3,17,"f","(6,2,2,2,2,2,1)",408408,281926,"lower bound",281926,408408],[3,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[3,17,"f","(6,3,2,1,1,1,1,1,1)",700128,547790,"lower bound",547790,700128],[3,17,"f","(6,3,2,2,1,1,1,1)",1570800,1074837,"lower bound",1074837,1570800],[3,17,"f","(6,3,2,2,2,1,1)",1905904,1197410,"lower bound",1197410,1905904],[3,17,"f","(6,3,2,2,2,2)",891072,542649,"lower bound",542649,891072],[3,17,"f","(6,3,3,1,1,1,1,1)",1047200,705145,"lower bound",705145,1047200],[3,17,"f","(6,3,3,2,1,1,1)",2552550,1526636,"lower bound",1526636,2552550],[3,17,"f","(6,3,3,2,2,1)",2475200,1407634,"lower bound",1407634,2475200],[3,17,"f","(6,3,3,3,1,1)",1591200,878389,"lower bound",878389,1591200],[3,17,"f","(6,3,3,3,2)",1089088,595135,"lower bound",595135,1089088],[3,17,"f","(6,4,1,1,1,1,1,1,1)",318240,253903,"lower bound",253903,318240],[3,17,"f","(6,4,2,1,1,1,1,1)",1454112,987217,"lower bound",987217,1454112],[3,17,"f","(6,4,2,2,1,1,1)",2858856,1694721,"lower bound",1694721,2858856],[3,17,"f","(6,4,2,2,2,1)",2598960,1442464,"lower bound",1442464,2598960],[3,17,"f","(6,4,3,1,1,1,1)",2431000,1419889,"lower bound",1419889,2431000],[3,17,"f","(6,4,3,2,1,1)",4873050,2598583,"lower bound",2598583,4873050],[3,17,"f","(6,4,3,2,2)",2722720,1415513,"lower bound",1415513,2722720],[3,17,"f","(6,4,3,3,1)",2362932,1209866,"lower bound",1209866,2362932],[3,17,"f","(6,4,4,1,1,1)",1591200,838355,"lower bound",838355,1591200],[3,17,"f","(6,4,4,2,1)",2450448,1239374,"lower bound",1239374,2450448],[3,17,"f","(6,4,4,3)",816816,413168,"lower bound",413168,816816],[3,17,"f","(6,5,1,1,1,1,1,1)",399840,284919,"lower bound",284919,399840],[3,17,"f","(6,5,2,1,1,1,1)",1633632,978547,"lower bound",978547,1633632],[3,17,"f","(6,5,2,2,1,1)",2598960,1383223,"lower bound",1383223,2598960],[3,17,"f","(6,5,2,2,2)",1361360,693189,"lower bound",693189,1361360],[3,17,"f","(6,5,3,1,1,1)",2475200,1311232,"lower bound",1311232,2475200],[3,17,"f","(6,5,3,2,1)",3573570,1781334,"lower bound",1781334,3573570],[3,17,"f","(6,5,3,3)",972400,476757,"lower bound",476757,972400],[3,17,"f","(6,5,4,1,1)",1633632,832565,"lower bound",832565,1633624],[3,17,"f","(6,5,4,2)",1361360,680248,"lower bound",680248,1361352],[3,17,"f","(6,5,5,1)",388960,210774,"lower bound",210774,388948],[3,17,"f","(6,6,1,1,1,1,1)",259896,168089,"lower bound",168089,259896],[3,17,"f","(6,6,2,1,1,1)",891072,490282,"lower bound",490282,891072],[3,17,"f","(6,6,2,2,1)",1021020,511121,"lower bound",511121,1021020],[3,17,"f","(6,6,3,1,1)",1089088,557158,"lower bound",557158,1089078],[3,17,"f","(6,6,3,2)",850850,418482,"lower bound",418482,850840],[3,17,"f","(6,6,4,1)",544544,292532,"lower bound",292532,544520],[3,17,"f","(6,6,5)",87516,56999,"lower bound",56999,87504],[3,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[3,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[3,17,"f","(7,2,2,1,1,1,1,1,1)",238238,195823,"lower bound",195823,238238],[3,17,"f","(7,2,2,2,1,1,1,1)",486200,345808,"lower bound",345808,486200],[3,17,"f","(7,2,2,2,2,1,1)",565488,367491,"lower bound",367491,565488],[3,17,"f","(7,2,2,2,2,2)",259896,164026,"lower bound",164026,259896],[3,17,"f","(7,3,1,1,1,1,1,1,1)",233376,190135,"lower bound",190135,233376],[3,17,"f","(7,3,2,1,1,1,1,1)",972400,666289,"lower bound",666289,972400],[3,17,"f","(7,3,2,2,1,1,1)",1832600,1087082,"lower bound",1087082,1832600],[3,17,"f","(7,3,2,2,2,1)",1633632,908989,"lower bound",908989,1633632],[3,17,"f","(7,3,3,1,1,1,1)",1262250,723180,"lower bound",723180,1262250],[3,17,"f","(7,3,3,2,1,1)",2431000,1258742,"lower bound",1258742,2431000],[3,17,"f","(7,3,3,2,2)",1336608,674989,"lower bound",674989,1336608],[3,17,"f","(7,3,3,3,1)",1082900,527239,"lower bound",527239,1082900],[3,17,"f","(7,4,1,1,1,1,1,1)",466752,326672,"lower bound",326672,466752],[3,17,"f","(7,4,2,1,1,1,1)",1832600,1065616,"lower bound",1065616,1832600],[3,17,"f","(7,4,2,2,1,1)",2858856,1475103,"lower bound",1475103,2858856],[3,17,"f","(7,4,2,2,2)",1485120,737739,"lower bound",737739,1485120],[3,17,"f","(7,4,3,1,1,1)",2552550,1290016,"lower bound",1290016,2552550],[3,17,"f","(7,4,3,2,1)",3620864,1724688,"lower bound",1724688,3620864],[3,17,"f","(7,4,3,3)",952952,443983,"lower bound",443983,952952],[3,17,"f","(7,4,4,1,1)",1326000,638254,"lower bound",638254,1325990],[3,17,"f","(7,4,4,2)",1089088,515755,"lower bound",515755,1089078],[3,17,"f","(7,5,1,1,1,1,1)",565488,354181,"lower bound",354181,565488],[3,17,"f","(7,5,2,1,1,1)",1905904,1011406,"lower bound",1011406,1905904],[3,17,"f","(7,5,2,2,1)",2165800,1051390,"lower bound",1051390,2165800],[3,17,"f","(7,5,3,1,1)",2255526,1109826,"lower bound",1109826,2255499],[3,17,"f","(7,5,3,2)",1750320,832893,"lower bound",832893,1750293],[3,17,"f","(7,5,4,1)",1050192,544531,"lower bound",544531,1050132],[3,17,"f","(7,5,5)",136136,86294,"lower bound",86294,136112],[3,17,"f","(7,6,1,1,1,1)",408408,245192,"lower bound",245192,408408],[3,17,"f","(7,6,2,1,1)",1082900,570661,"lower bound",570661,1082865],[3,17,"f","(7,6,2,2)",680680,336299,"lower bound",336299,680645],[3,17,"f","(7,6,3,1)",918918,486256,"lower bound",486256,918822],[3,17,"f","(7,6,4)",243100,153401,"lower bound",153401,243040],[3,17,"f","(7,7,1,1,1)",148512,90438,"lower bound",90438,148484],[3,17,"f","(7,7,2,1)",272272,152615,"lower bound",152615,272188],[3,17,"f","(7,7,3)",121550,76065,"lower bound",76065,121490],[3,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[3,17,"f","(8,2,1,1,1,1,1,1,1)",85085,75740,"lower bound",75740,85085],[3,17,"f","(8,2,2,1,1,1,1,1)",272272,202835,"lower bound",202835,272272],[3,17,"f","(8,2,2,2,1,1,1)",466752,298402,"lower bound",298402,466752],[3,17,"f","(8,2,2,2,2,1)",399840,240322,"lower bound",240322,399840],[3,17,"f","(8,3,1,1,1,1,1,1)",272272,199938,"lower bound",199938,272272],[3,17,"f","(8,3,2,1,1,1,1)",972400,582622,"lower bound",582622,972400],[3,17,"f","(8,3,2,2,1,1)",1454112,770023,"lower bound",770023,1454112],[3,17,"f","(8,3,2,2,2)",742560,381569,"lower bound",381569,742560],[3,17,"f","(8,3,3,1,1,1)",1047200,526233,"lower bound",526233,1047200],[3,17,"f","(8,3,3,2,1)",1429428,675919,"lower bound",675919,1429428],[3,17,"f","(8,3,3,3)",346528,157653,"lower bound",157653,346528],[3,17,"f","(8,4,1,1,1,1,1)",486200,299215,"lower bound",299215,486200],[3,17,"f","(8,4,2,1,1,1)",1570800,809717,"lower bound",809717,1570800],[3,17,"f","(8,4,2,2,1)",1750320,833197,"lower bound",833197,1750320],[3,17,"f","(8,4,3,1,1)",1701700,801383,"lower bound",801383,1701665],[3,17,"f","(8,4,3,2)",1299480,597854,"lower bound",597854,1299445],[3,17,"f","(8,4,4,1)",618800,305164,"lower bound",305164,618740],[3,17,"f","(8,5,1,1,1,1)",523600,299284,"lower bound",299284,523600],[3,17,"f","(8,5,2,1,1)",1361360,685033,"lower bound",685033,1361296],[3,17,"f","(8,5,2,2)",848640,405544,"lower bound",405544,848576],[3,17,"f","(8,5,3,1)",1113840,563176,"lower bound",563176,1113672],[3,17,"f","(8,5,4)",272272,164137,"lower bound",164137,272176],[3,17,"f","(8,6,1,1,1)",340340,199023,"lower bound",199023,340259],[3,17,"f","(8,6,2,1)",618800,334595,"lower bound",334595,618560],[3,17,"f","(8,6,3)",272272,164154,"lower bound",164154,272104],[3,17,"f","(8,7,1,1)",123760,76721,"lower bound",76721,123588],[3,17,"f","(8,7,2)",116688,71588,"lower bound",71588,116496],[3,17,"f","(8,8,1)",19448,12976,"lower bound",12976,17574],[3,17,"f","(9,1,1,1,1,1,1,1,1)",12870,12557,"lower bound",12557,12862],[3,17,"f","(9,2,1,1,1,1,1,1)",85085,69087,"lower bound",69087,85085],[3,17,"f","(9,2,2,1,1,1,1)",233376,153026,"lower bound",153026,233376],[3,17,"f","(9,2,2,2,1,1)",318240,185553,"lower bound",185553,318240],[3,17,"f","(9,2,2,2,2)",157080,90354,"lower bound",90354,157080],[3,17,"f","(9,3,1,1,1,1,1)",238238,152635,"lower bound",152635,238238],[3,17,"f","(9,3,2,1,1,1)",700128,370463,"lower bound",370463,700128],[3,17,"f","(9,3,2,2,1)",749700,372119,"lower bound",372119,749700],[3,17,"f","(9,3,3,1,1)",586432,275598,"lower bound",275598,586404],[3,17,"f","(9,3,3,2)",433160,201690,"lower bound",201690,433132],[3,17,"f","(9,4,1,1,1,1)",364650,199784,"lower bound",199784,364650],[3,17,"f","(9,4,2,1,1)",908820,440143,"lower bound",440143,908739],[3,17,"f","(9,4,2,2)",556920,262087,"lower bound",262087,556839],[3,17,"f","(9,4,3,1)",680680,329470,"lower bound",329470,680488],[3,17,"f","(9,4,4)",129948,74122,"lower bound",74122,129864],[3,17,"f","(9,5,1,1,1)",327250,178023,"lower bound",178023,327125],[3,17,"f","(9,5,2,1)",583440,297670,"lower bound",297670,583080],[3,17,"f","(9,5,3)",247520,140840,"lower bound",140840,247280],[3,17,"f","(9,6,1,1)",170170,99423,"lower bound",99423,169844],[3,17,"f","(9,6,2)",159120,92458,"lower bound",92458,158760],[3,17,"f","(9,7,1)",46410,29767,"lower bound",29767,46143],[3,17,"f","(9,8)",4862,3648,"lower bound",3648,4131],[3,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,18,"f","(10,1,1,1,1,1,1,1,1)",24310,23245,"lower bound",23245,24310],[3,18,"f","(10,2,1,1,1,1,1,1)",162162,126103,"lower bound",126103,162162],[3,18,"f","(10,2,2,1,1,1,1)",447525,284131,"lower bound",284131,447525],[3,18,"f","(10,2,2,2,1,1)",612612,350012,"lower bound",350012,612612],[3,18,"f","(10,2,2,2,2)",302940,170036,"lower bound",170036,302940],[3,18,"f","(10,3,1,1,1,1,1)",459459,284479,"lower bound",284479,459459],[3,18,"f","(10,3,2,1,1,1)",1357824,712287,"lower bound",712287,1357824],[3,18,"f","(10,3,2,2,1)",1458600,724861,"lower bound",724861,1458600],[3,18,"f","(10,3,3,1,1)",1145664,544873,"lower bound",544873,1145628],[3,18,"f","(10,3,3,2)",848232,400963,"lower bound",400963,848196],[3,18,"f","(10,4,1,1,1,1)",714714,382792,"lower bound",382792,714714],[3,18,"f","(10,4,2,1,1)",1790100,869535,"lower bound",869535,1789995],[3,18,"f","(10,4,2,2)",1099560,523985,"lower bound",523985,1099455],[3,18,"f","(10,4,3,1)",1349460,657351,"lower bound",657351,1349208],[3,18,"f","(10,4,4)",259896,143890,"lower bound",143890,259784],[3,18,"f","(10,5,1,1,1)",656370,346958,"lower bound",346958,656205],[3,18,"f","(10,5,2,1)",1175040,596197,"lower bound",596197,1174560],[3,18,"f","(10,5,3)",501228,277323,"lower bound",277323,500904],[3,18,"f","(10,6,1,1)",353430,199916,"lower bound",199916,352980],[3,18,"f","(10,6,2)",331500,188223,"lower bound",188223,331000],[3,18,"f","(10,7,1)",102102,63940,"lower bound",63940,101708],[3,18,"f","(10,8)",11934,8771,"lower bound",8771,10586],[3,18,"f","(11,1,1,1,1,1,1,1)",19448,17754,"lower bound",17754,19434],[3,18,"f","(11,2,1,1,1,1,1)",112320,76860,"lower bound",76860,112320],[3,18,"f","(11,2,2,1,1,1)",255255,143220,"lower bound",143220,255255],[3,18,"f","(11,2,2,2,1)",251328,134205,"lower bound",134205,251328],[3,18,"f","(11,3,1,1,1,1)",268515,145059,"lower bound",145059,268515],[3,18,"f","(11,3,2,1,1)",612612,297538,"lower bound",297538,612513],[3,18,"f","(11,3,2,2)",363528,176028,"lower bound",176028,363429],[3,18,"f","(11,3,3,1)",358020,171052,"lower bound",171052,357840],[3,18,"f","(11,4,1,1,1)",339456,167434,"lower bound",167434,339264],[3,18,"f","(11,4,2,1)",583440,280710,"lower bound",280710,582912],[3,18,"f","(11,4,3)",228480,119646,"lower bound",119646,228160],[3,18,"f","(11,5,1,1)",238680,123285,"lower bound",123285,238113],[3,18,"f","(11,5,2)",219912,116215,"lower bound",116215,219296],[3,18,"f","(11,6,1)",88128,51256,"lower bound",51256,87582],[3,18,"f","(11,7)",13260,9352,"lower bound",9352,11485],[3,18,"f","(12,1,1,1,1,1,1)",12376,10489,"lower bound",10489,12067],[3,18,"f","(12,2,1,1,1,1)",60060,35761,"lower bound",35761,60060],[3,18,"f","(12,2,2,1,1)",106029,54232,"lower bound",54232,105963],[3,18,"f","(12,2,2,2)",58344,29929,"lower bound",29929,58278],[3,18,"f","(12,3,1,1,1)",116025,56573,"lower bound",56573,115830],[3,18,"f","(12,3,2,1)",182784,87220,"lower bound",87220,182304],[3,18,"f","(12,3,3)",56100,28615,"lower bound",28615,55880],[3,18,"f","(12,4,1,1)",111384,53438,"lower bound",53438,110763],[3,18,"f","(12,4,2)",99144,49732,"lower bound",49732,98496],[3,18,"f","(12,5,1)",53040,28189,"lower bound",28189,52396],[3,18,"f","(12,6)",9996,6492,"lower bound",6492,8228],[3,18,"f","(13,1,1,1,1,1)",6188,4389,"lower bound",4389,5584],[3,18,"f","(13,2,1,1,1)",24192,12098,"lower bound",12098,24024],[3,18,"f","(13,2,2,1)",29835,14327,"lower bound",14327,29523],[3,18,"f","(13,3,1,1)",35343,16293,"lower bound",16293,34749],[3,18,"f","(13,3,2)",29172,14353,"lower bound",14353,28600],[3,18,"f","(13,4,1)",22848,11107,"lower bound",11107,22178],[3,18,"f","(13,5)",5508,3012,"lower bound",3012,4114],[3,18,"f","(14,1,1,1,1)",2380,1086,"lower bound",1086,1673],[3,18,"f","(14,2,1,1)",7020,2620,"lower bound",2620,4641],[3,18,"f","(14,2,2)",4641,1924,"lower bound",1924,2975],[3,18,"f","(14,3,1)",6885,2769,"lower bound",2769,4318],[3,18,"f","(14,4)",2244,869,"lower bound",869,1352],[3,18,"f","(15,1,1,1)",680,120,"lower bound",120,220],[3,18,"f","(15,2,1)",1344,240,"lower bound",240,440],[3,18,"f","(15,3)",663,120,"lower bound",120,220],[3,18,"f","(16,1,1)",136,0,"exact",0,0],[3,18,"f","(16,2)",135,0,"exact",0,0],[3,18,"f","(17,1)",17,0,"exact",0,0],[3,18,"f","(18)",1,0,"exact",0,0],[3,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[3,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[3,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[3,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[3,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[3,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[3,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[3,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[3,18,"f","(2,2,2,2,2,2,2,2,2)",4862,4856,"lower bound",4856,4862],[3,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[3,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[3,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[3,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[3,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[3,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[3,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[3,18,"f","(3,2,2,2,2,2,2,2,1)",70720,65174,"lower bound",65174,70720],[3,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[3,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[3,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[3,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[3,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[3,18,"f","(3,3,2,2,2,2,2,1,1)",322218,280585,"lower bound",280585,322218],[3,18,"f","(3,3,2,2,2,2,2,2)",136136,117171,"lower bound",117171,136136],[3,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[3,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[3,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[3,18,"f","(3,3,3,2,2,2,1,1,1)",678912,578242,"lower bound",578242,678912],[3,18,"f","(3,3,3,2,2,2,2,1)",510510,424056,"lower bound",424056,510510],[3,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[3,18,"f","(3,3,3,3,2,1,1,1,1)",649740,549972,"lower bound",549972,649740],[3,18,"f","(3,3,3,3,2,2,1,1)",787644,643220,"lower bound",643220,787644],[3,18,"f","(3,3,3,3,2,2,2)",364650,293781,"lower bound",293781,364650],[3,18,"f","(3,3,3,3,3,1,1,1)",408408,331544,"lower bound",331544,408408],[3,18,"f","(3,3,3,3,3,2,1)",466752,372809,"lower bound",372809,466752],[3,18,"f","(3,3,3,3,3,3)",87516,69669,"lower bound",69669,87516],[3,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[3,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[3,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[3,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[3,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[3,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[3,18,"f","(4,2,2,2,2,2,2,1,1)",340340,290961,"lower bound",290961,340340],[3,18,"f","(4,2,2,2,2,2,2,2)",143208,120369,"lower bound",120369,143208],[3,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[3,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[3,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[3,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[3,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,1248083,"lower bound",1248083,1531530],[3,18,"f","(4,3,2,2,2,2,2,1)",1131520,888727,"lower bound",888727,1131520],[3,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[3,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[3,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,2104943,"lower bound",2104943,2625480],[3,18,"f","(4,3,3,2,2,2,1,1)",2923830,2216135,"lower bound",2216135,2923830],[3,18,"f","(4,3,3,2,2,2,2)",1312740,969966,"lower bound",969966,1312740],[3,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,1141407,"lower bound",1141407,1429428],[3,18,"f","(4,3,3,3,2,1,1,1)",3055104,2279564,"lower bound",2279564,3055104],[3,18,"f","(4,3,3,3,2,2,1)",2756754,1986754,"lower bound",1986754,2756754],[3,18,"f","(4,3,3,3,3,1,1)",1575288,1126501,"lower bound",1126501,1575288],[3,18,"f","(4,3,3,3,3,2)",1021020,721456,"lower bound",721456,1021020],[3,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[3,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[3,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[3,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,1560708,"lower bound",1560708,1989000],[3,18,"f","(4,4,2,2,2,2,1,1)",2148120,1574895,"lower bound",1574895,2148120],[3,18,"f","(4,4,2,2,2,2,2)",952952,676156,"lower bound",676156,952952],[3,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[3,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,2321353,"lower bound",2321353,2970240],[3,18,"f","(4,4,3,2,2,1,1,1)",5012280,3588611,"lower bound",3588611,5012280],[3,18,"f","(4,4,3,2,2,2,1)",4200768,2862179,"lower bound",2862179,4200768],[3,18,"f","(4,4,3,3,1,1,1,1)",3007368,2135123,"lower bound",2135123,3007368],[3,18,"f","(4,4,3,3,2,1,1)",5250960,3518889,"lower bound",3518889,5250960],[3,18,"f","(4,4,3,3,2,2)",2756754,1806989,"lower bound",1806989,2756754],[3,18,"f","(4,4,3,3,3,1)",2042040,1333553,"lower bound",1333553,2042040],[3,18,"f","(4,4,4,1,1,1,1,1,1)",779688,609052,"lower bound",609052,779688],[3,18,"f","(4,4,4,2,1,1,1,1)",2598960,1818795,"lower bound",1818795,2598960],[3,18,"f","(4,4,4,2,2,1,1)",3675672,2400155,"lower bound",2400155,3675672],[3,18,"f","(4,4,4,2,2,2)",1823250,1157075,"lower bound",1157075,1823250],[3,18,"f","(4,4,4,3,1,1,1)",2858856,1853172,"lower bound",1853172,2858856],[3,18,"f","(4,4,4,3,2,1)",3734016,2349531,"lower bound",2349531,3734016],[3,18,"f","(4,4,4,3,3)",875160,550314,"lower bound",550314,875160],[3,18,"f","(4,4,4,4,1,1)",1021020,636495,"lower bound",636495,1021020],[3,18,"f","(4,4,4,4,2)",787644,490593,"lower bound",490593,787644],[3,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[3,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[3,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[3,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[3,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[3,18,"f","(5,2,2,2,2,2,1,1,1)",837760,675952,"lower bound",675952,837760],[3,18,"f","(5,2,2,2,2,2,2,1)",612612,476400,"lower bound",476400,612612],[3,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[3,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[3,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,2460394,"lower bound",2460394,3180870],[3,18,"f","(5,3,2,2,2,2,1,1)",3403400,2473781,"lower bound",2473781,3403400],[3,18,"f","(5,3,2,2,2,2,2)",1503684,1061747,"lower bound",1061747,1503684],[3,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[3,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,2957401,"lower bound",2957401,3877632],[3,18,"f","(5,3,3,2,2,1,1,1)",6432426,4512434,"lower bound",4512434,6432426],[3,18,"f","(5,3,3,2,2,2,1)",5346432,3582923,"lower bound",3582923,5346432],[3,18,"f","(5,3,3,3,1,1,1,1)",3646500,2520200,"lower bound",2520200,3646500],[3,18,"f","(5,3,3,3,2,1,1)",6265350,4093845,"lower bound",4093845,6265350],[3,18,"f","(5,3,3,3,2,2)",3267264,2091114,"lower bound",2091114,3267264],[3,18,"f","(5,3,3,3,3,1)",2362932,1498662,"lower bound",1498662,2362932],[3,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[3,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[3,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,3001415,"lower bound",3001415,3965760],[3,18,"f","(5,4,2,2,2,1,1,1)",6126120,4215818,"lower bound",4215818,6126120],[3,18,"f","(5,4,2,2,2,2,1)",4950400,3224826,"lower bound",3224826,4950400],[3,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,2421423,"lower bound",2421423,3198720],[3,18,"f","(5,4,3,2,1,1,1,1)",9801792,6619416,"lower bound",6619416,9801792],[3,18,"f","(5,4,3,2,2,1,1)",13366080,8391495,"lower bound",8391495,13366080],[3,18,"f","(5,4,3,2,2,2)",6534528,3980385,"lower bound",3980385,6534528],[3,18,"f","(5,4,3,3,1,1,1)",8486400,5250545,"lower bound",5250545,8486400],[3,18,"f","(5,4,3,3,2,1)",10720710,6401626,"lower bound",6401626,10720710],[3,18,"f","(5,4,3,3,3)",2333760,1379001,"lower bound",1379001,2333760],[3,18,"f","(5,4,4,1,1,1,1,1)",2858856,1913526,"lower bound",1913526,2858856],[3,18,"f","(5,4,4,2,1,1,1)",8019648,4884258,"lower bound",4884258,8019648],[3,18,"f","(5,4,4,2,2,1)",8270262,4822001,"lower bound",4822001,8270262],[3,18,"f","(5,4,4,3,1,1)",7088796,4101464,"lower bound",4101464,7088796],[3,18,"f","(5,4,4,3,2)",5105100,2925579,"lower bound",2925579,5105100],[3,18,"f","(5,4,4,4,1)",1867008,1065648,"lower bound",1065648,1867008],[3,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[3,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,1250318,"lower bound",1250318,1649340],[3,18,"f","(5,5,2,2,1,1,1,1)",3978000,2655830,"lower bound",2655830,3978000],[3,18,"f","(5,5,2,2,2,1,1)",5012280,3070389,"lower bound",3070389,5012280],[3,18,"f","(5,5,2,2,2,2)",2382380,1404879,"lower bound",1404879,2382380],[3,18,"f","(5,5,3,1,1,1,1,1)",3508596,2333366,"lower bound",2333366,3508596],[3,18,"f","(5,5,3,2,1,1,1)",9165312,5491569,"lower bound",5491569,9165312],[3,18,"f","(5,5,3,2,2,1)",9189180,5228376,"lower bound",5228376,9189180],[3,18,"f","(5,5,3,3,1,1)",6534528,3672976,"lower bound",3672976,6534528],[3,18,"f","(5,5,3,3,2)",4594590,2540627,"lower bound",2540627,4594590],[3,18,"f","(5,5,4,1,1,1,1)",3508596,2085123,"lower bound",2085123,3508596],[3,18,"f","(5,5,4,2,1,1)",7876440,4376609,"lower bound",4376609,7876440],[3,18,"f","(5,5,4,2,2)",4594590,2499152,"lower bound",2499152,4594590],[3,18,"f","(5,5,4,3,1)",5105100,2771659,"lower bound",2771659,5105100],[3,18,"f","(5,5,4,4)",787644,429736,"lower bound",429736,787644],[3,18,"f","(5,5,5,1,1,1)",1429428,788206,"lower bound",788206,1429428],[3,18,"f","(5,5,5,2,1)",2333760,1245776,"lower bound",1245776,2333760],[3,18,"f","(5,5,5,3)",875160,467509,"lower bound",467509,875160],[3,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[3,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[3,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[3,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,937593,"lower bound",937593,1215500],[3,18,"f","(6,2,2,2,2,2,1,1)",1272348,923535,"lower bound",923535,1272348],[3,18,"f","(6,2,2,2,2,2,2)",556920,393399,"lower bound",393399,556920],[3,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[3,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[3,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,2636719,"lower bound",2636719,3544398],[3,18,"f","(6,3,2,2,2,1,1,1)",5361664,3637584,"lower bound",3637584,5361664],[3,18,"f","(6,3,2,2,2,2,1)",4288284,2766503,"lower bound",2766503,4288284],[3,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,1720385,"lower bound",1720385,2333760],[3,18,"f","(6,3,3,2,1,1,1,1)",6872250,4509510,"lower bound",4509510,6872250],[3,18,"f","(6,3,3,2,2,1,1)",9189180,5610569,"lower bound",5610569,9189180],[3,18,"f","(6,3,3,2,2,2)",4455360,2644715,"lower bound",2644715,4455360],[3,18,"f","(6,3,3,3,1,1,1)",5469750,3257070,"lower bound",3257070,5469750],[3,18,"f","(6,3,3,3,2,1)",6789120,3897447,"lower bound",3897447,6789120],[3,18,"f","(6,3,3,3,3)",1429428,806114,"lower bound",806114,1429428],[3,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,2388517,"lower bound",2388517,3222180],[3,18,"f","(6,4,2,2,1,1,1,1)",7634088,4980563,"lower bound",4980563,7634088],[3,18,"f","(6,4,2,2,2,1,1)",9529520,5717022,"lower bound",5717022,9529520],[3,18,"f","(6,4,2,2,2,2)",4511052,2612594,"lower bound",2612594,4511052],[3,18,"f","(6,4,3,1,1,1,1,1)",6361740,4109091,"lower bound",4109091,6361740],[3,18,"f","(6,4,3,2,1,1,1)",16336320,9489613,"lower bound",9489613,16336320],[3,18,"f","(6,4,3,2,2,1)",16243500,8970280,"lower bound",8970280,16243500],[3,18,"f","(6,4,3,3,1,1)",11277630,6111806,"lower bound",6111806,11277630],[3,18,"f","(6,4,3,3,2)",7876440,4200587,"lower bound",4200587,7876440],[3,18,"f","(6,4,4,1,1,1,1)",5105100,2923404,"lower bound",2923404,5105100],[3,18,"f","(6,4,4,2,1,1)",11277630,6024469,"lower bound",6024469,11277630],[3,18,"f","(6,4,4,2,2)",6534528,3417956,"lower bound",3417956,6534528],[3,18,"f","(6,4,4,3,1)",7088796,3682480,"lower bound",3682480,7088796],[3,18,"f","(6,4,4,4)",1021020,530516,"lower bound",530516,1021020],[3,18,"f","(6,5,1,1,1,1,1,1,1)",875160,668055,"lower bound",668055,875160],[3,18,"f","(6,5,2,1,1,1,1,1)",4230144,2772161,"lower bound",2772161,4230144],[3,18,"f","(6,5,2,2,1,1,1)",8576568,4967055,"lower bound",4967055,8576568],[3,18,"f","(6,5,2,2,2,1)",7920640,4296274,"lower bound",4296274,7920640],[3,18,"f","(6,5,3,1,1,1,1)",7876440,4524716,"lower bound",4524716,7876440],[3,18,"f","(6,5,3,2,1,1)",16243500,8590545,"lower bound",8590545,16243500],[3,18,"f","(6,5,3,2,2)",9189180,4718755,"lower bound",4718755,9189180],[3,18,"f","(6,5,3,3,1)",8270262,4199792,"lower bound",4199792,8270262],[3,18,"f","(6,5,4,1,1,1)",6789120,3587067,"lower bound",3587067,6789120],[3,18,"f","(6,5,4,2,1)",10720710,5440885,"lower bound",5440885,10720710],[3,18,"f","(6,5,4,3)",3734016,1882561,"lower bound",1882561,3734016],[3,18,"f","(6,5,5,1,1)",2362932,1226630,"lower bound",1226630,2362929],[3,18,"f","(6,5,5,2)",2042040,1046143,"lower bound",1046143,2042037],[3,18,"f","(6,6,1,1,1,1,1,1)",659736,453008,"lower bound",453008,659736],[3,18,"f","(6,6,2,1,1,1,1)",2784600,1636918,"lower bound",1636918,2784600],[3,18,"f","(6,6,2,2,1,1)",4511052,2384626,"lower bound",2384626,4511052],[3,18,"f","(6,6,2,2,2)",2382380,1204310,"lower bound",1204310,2382380],[3,18,"f","(6,6,3,1,1,1)",4455360,2358672,"lower bound",2358672,4455360],[3,18,"f","(6,6,3,2,1)",6534528,3268095,"lower bound",3268095,6534528],[3,18,"f","(6,6,3,3)",1823250,895239,"lower bound",895239,1823250],[3,18,"f","(6,6,4,1,1)",3267264,1682255,"lower bound",1682255,3267258],[3,18,"f","(6,6,4,2)",2756754,1391262,"lower bound",1391262,2756748],[3,18,"f","(6,6,5,1)",1021020,560305,"lower bound",560305,1021008],[3,18,"f","(6,6,6)",87516,56999,"lower bound",56999,87512],[3,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[3,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[3,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[3,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,832041,"lower bound",832041,1089088],[3,18,"f","(7,2,2,2,2,1,1,1)",1575288,1092603,"lower bound",1092603,1575288],[3,18,"f","(7,2,2,2,2,2,1)",1233792,813443,"lower bound",813443,1233792],[3,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[3,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,1600037,"lower bound",1600037,2144142],[3,18,"f","(7,3,2,2,1,1,1,1)",4862000,3174016,"lower bound",3174016,4862000],[3,18,"f","(7,3,2,2,2,1,1)",5937624,3560972,"lower bound",3560972,5937624],[3,18,"f","(7,3,2,2,2,2)",2784600,1615664,"lower bound",1615664,2784600],[3,18,"f","(7,3,3,1,1,1,1,1)",3281850,2094614,"lower bound",2094614,3281850],[3,18,"f","(7,3,3,2,1,1,1)",8078400,4595640,"lower bound",4595640,8078400],[3,18,"f","(7,3,3,2,2,1)",7876440,4250354,"lower bound",4250354,7876440],[3,18,"f","(7,3,3,3,1,1)",5105100,2664370,"lower bound",2664370,5105100],[3,18,"f","(7,3,3,3,2)",3508596,1797363,"lower bound",1797363,3508596],[3,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,770710,"lower bound",770710,1018368],[3,18,"f","(7,4,2,1,1,1,1,1)",4725864,3045794,"lower bound",3045794,4725864],[3,18,"f","(7,4,2,2,1,1,1)",9382912,5322522,"lower bound",5322522,9382912],[3,18,"f","(7,4,2,2,2,1)",8576568,4564295,"lower bound",4564295,8576568],[3,18,"f","(7,4,3,1,1,1,1)",8078400,4498701,"lower bound",4498701,8078400],[3,18,"f","(7,4,3,2,1,1)",16336320,8347132,"lower bound",8347132,16336320],[3,18,"f","(7,4,3,2,2)",9165312,4552929,"lower bound",4552929,9165312],[3,18,"f","(7,4,3,3,1)",8019648,3905776,"lower bound",3905776,8019648],[3,18,"f","(7,4,4,1,1,1)",5469750,2766625,"lower bound",2766625,5469750],[3,18,"f","(7,4,4,2,1)",8486400,4118071,"lower bound",4118071,8486400],[3,18,"f","(7,4,4,3)",2858856,1372906,"lower bound",1372906,2858856],[3,18,"f","(7,5,1,1,1,1,1,1)",1432080,965772,"lower bound",965772,1432080],[3,18,"f","(7,5,2,1,1,1,1)",5937624,3409750,"lower bound",3409750,5937624],[3,18,"f","(7,5,2,2,1,1)",9529520,4921122,"lower bound",4921122,9529520],[3,18,"f","(7,5,2,2,2)",5012280,2482318,"lower bound",2482318,5012280],[3,18,"f","(7,5,3,1,1,1)",9189180,4722480,"lower bound",4722480,9189180],[3,18,"f","(7,5,3,2,1)",13366080,6500131,"lower bound",6500131,13366080],[3,18,"f","(7,5,3,3)",3675672,1753633,"lower bound",1753633,3675672],[3,18,"f","(7,5,4,1,1)",6265350,3125176,"lower bound",3125176,6265335],[3,18,"f","(7,5,4,2)",5250960,2573427,"lower bound",2573427,5250945],[3,18,"f","(7,5,5,1)",1575288,841599,"lower bound",841599,1575264],[3,18,"f","(7,6,1,1,1,1,1)",1233792,767462,"lower bound",767462,1233792],[3,18,"f","(7,6,2,1,1,1)",4288284,2317541,"lower bound",2317541,4288284],[3,18,"f","(7,6,2,2,1)",4950400,2469471,"lower bound",2469471,4950400],[3,18,"f","(7,6,3,1,1)",5346432,2723901,"lower bound",2723901,5346408],[3,18,"f","(7,6,3,2)",4200768,2073930,"lower bound",2073930,4200744],[3,18,"f","(7,6,4,1)",2756754,1476720,"lower bound",1476720,2756694],[3,18,"f","(7,6,5)",466752,296694,"lower bound",296694,466720],[3,18,"f","(7,7,1,1,1,1)",556920,335630,"lower bound",335630,556920],[3,18,"f","(7,7,2,1,1)",1503684,813714,"lower bound",813714,1503663],[3,18,"f","(7,7,2,2)",952952,488914,"lower bound",488914,952931],[3,18,"f","(7,7,3,1)",1312740,714936,"lower bound",714936,1312680],[3,18,"f","(7,7,4)",364650,229466,"lower bound",229466,364610],[3,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[3,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[3,18,"f","(8,2,2,1,1,1,1,1,1)",595595,474398,"lower bound",474398,595595],[3,18,"f","(8,2,2,2,1,1,1,1)",1225224,847045,"lower bound",847045,1225224],[3,18,"f","(8,2,2,2,2,1,1)",1432080,906215,"lower bound",906215,1432080],[3,18,"f","(8,2,2,2,2,2)",659736,404348,"lower bound",404348,659736],[3,18,"f","(8,3,1,1,1,1,1,1,1)",590733,465813,"lower bound",465813,590733],[3,18,"f","(8,3,2,1,1,1,1,1)",2489344,1651684,"lower bound",1651684,2489344],[3,18,"f","(8,3,2,2,1,1,1)",4725864,2738129,"lower bound",2738129,4725864],[3,18,"f","(8,3,2,2,2,1)",4230144,2300903,"lower bound",2300903,4230144],[3,18,"f","(8,3,3,1,1,1,1)",3281850,1832035,"lower bound",1832035,3281850],[3,18,"f","(8,3,3,2,1,1)",6361740,3230917,"lower bound",3230917,6361740],[3,18,"f","(8,3,3,2,2)",3508596,1732477,"lower bound",1732477,3508596],[3,18,"f","(8,3,3,3,1)",2858856,1360811,"lower bound",1360811,2858856],[3,18,"f","(8,4,1,1,1,1,1,1)",1225224,825825,"lower bound",825825,1225224],[3,18,"f","(8,4,2,1,1,1,1)",4862000,2757170,"lower bound",2757170,4862000],[3,18,"f","(8,4,2,2,1,1)",7634088,3888040,"lower bound",3888040,7634088],[3,18,"f","(8,4,2,2,2)",3978000,1952505,"lower bound",1952505,3978000],[3,18,"f","(8,4,3,1,1,1)",6872250,3427349,"lower bound",3427349,6872250],[3,18,"f","(8,4,3,2,1)",9801792,4633041,"lower bound",4633041,9801792],[3,18,"f","(8,4,3,3)",2598960,1199490,"lower bound",1199490,2598960],[3,18,"f","(8,4,4,1,1)",3646500,1744801,"lower bound",1744801,3646485],[3,18,"f","(8,4,4,2)",3007368,1418773,"lower bound",1418773,3007353],[3,18,"f","(8,5,1,1,1,1,1)",1575288,952680,"lower bound",952680,1575288],[3,18,"f","(8,5,2,1,1,1)",5361664,2805440,"lower bound",2805440,5361664],[3,18,"f","(8,5,2,2,1)",6126120,2975164,"lower bound",2975164,6126120],[3,18,"f","(8,5,3,1,1)",6432426,3159418,"lower bound",3159418,6432384],[3,18,"f","(8,5,3,2)",5012280,2399467,"lower bound",2399467,5012238],[3,18,"f","(8,5,4,1)",3055104,1577008,"lower bound",1577008,3055008],[3,18,"f","(8,5,5)",408408,250431,"lower bound",250431,408368],[3,18,"f","(8,6,1,1,1,1)",1272348,743499,"lower bound",743499,1272348],[3,18,"f","(8,6,2,1,1)",3403400,1789312,"lower bound",1789312,3403340],[3,18,"f","(8,6,2,2)",2148120,1076438,"lower bound",1076438,2148060],[3,18,"f","(8,6,3,1)",2923830,1548181,"lower bound",1548181,2923662],[3,18,"f","(8,6,4)",787644,481692,"lower bound",481692,787536],[3,18,"f","(8,7,1,1,1)",612612,366182,"lower bound",366182,612549],[3,18,"f","(8,7,2,1)",1131520,635519,"lower bound",635519,1131328],[3,18,"f","(8,7,3)",510510,311807,"lower bound",311807,510370],[3,18,"f","(8,8,1,1)",143208,89697,"lower bound",89697,143109],[3,18,"f","(8,8,2)",136136,84564,"lower bound",84564,136024],[3,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"f","(9,2,1,1,1,1,1,1,1)",183040,157384,"lower bound",157384,183040],[3,18,"f","(9,2,2,1,1,1,1,1)",590733,424948,"lower bound",424948,590733],[3,18,"f","(9,2,2,2,1,1,1)",1018368,636981,"lower bound",636981,1018368],[3,18,"f","(9,2,2,2,2,1)",875160,516229,"lower bound",516229,875160],[3,18,"f","(9,3,1,1,1,1,1,1)",595595,421660,"lower bound",421660,595595],[3,18,"f","(9,3,2,1,1,1,1)",2144142,1258746,"lower bound",1258746,2144142],[3,18,"f","(9,3,2,2,1,1)",3222180,1698158,"lower bound",1698158,3222180],[3,18,"f","(9,3,2,2,2)",1649340,844042,"lower bound",844042,1649340],[3,18,"f","(9,3,3,1,1,1)",2333760,1172294,"lower bound",1172294,2333760],[3,18,"f","(9,3,3,2,1)",3198720,1525326,"lower bound",1525326,3198720],[3,18,"f","(9,3,3,3)",779688,359343,"lower bound",359343,779688],[3,18,"f","(9,4,1,1,1,1,1)",1089088,651634,"lower bound",651634,1089088],[3,18,"f","(9,4,2,1,1,1)",3544398,1820107,"lower bound",1820107,3544398],[3,18,"f","(9,4,2,2,1)",3965760,1907546,"lower bound",1907546,3965760],[3,18,"f","(9,4,3,1,1)",3877632,1846594,"lower bound",1846594,3877584],[3,18,"f","(9,4,3,2)",2970240,1391101,"lower bound",1391101,2970192],[3,18,"f","(9,4,4,1)",1429428,708756,"lower bound",708756,1429344],[3,18,"f","(9,5,1,1,1,1)",1215500,677091,"lower bound",677091,1215500],[3,18,"f","(9,5,2,1,1)",3180870,1600869,"lower bound",1600869,3180780],[3,18,"f","(9,5,2,2)",1989000,965301,"lower bound",965301,1988910],[3,18,"f","(9,5,3,1)",2625480,1331156,"lower bound",1331156,2625240],[3,18,"f","(9,5,4)",649740,379099,"lower bound",379099,649600],[3,18,"f","(9,6,1,1,1)",837760,476469,"lower bound",476469,837640],[3,18,"f","(9,6,2,1)",1531530,824146,"lower bound",824146,1531170],[3,18,"f","(9,6,3)",678912,397452,"lower bound",397452,678656],[3,18,"f","(9,7,1,1)",340340,205911,"lower bound",205911,340052],[3,18,"f","(9,7,2)",322218,193813,"lower bound",193813,321894],[3,18,"f","(9,8,1)",70720,46391,"lower bound",46391,70514],[3,18,"f","(9,9)",4862,3648,"lower bound",3648,4378],[3,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,19,"f","(10,9)",16796,12419,"lower bound",12419,16641],[3,19,"f","(13,1,1,1,1,1,1)",18564,14878,"lower bound",14878,18545],[3,19,"f","(13,6)",15504,9504,"lower bound",9504,15236],[3,19,"f","(14,1,1,1,1,1)",8568,5475,"lower bound",5475,8522],[3,19,"f","(14,5)",7752,3881,"lower bound",3881,7462],[3,19,"f","(15,1,1,1,1)",3060,1206,"lower bound",1206,2940],[3,19,"f","(15,2,1,1)",9044,2980,"lower bound",2980,8505],[3,19,"f","(15,2,2)",5985,2164,"lower bound",2164,5565],[3,19,"f","(15,3,1)",8892,3129,"lower bound",3129,8190],[3,19,"f","(15,4)",2907,989,"lower bound",989,2625],[3,19,"f","(16,1,1,1)",816,120,"lower bound",120,560],[3,19,"f","(16,2,1)",1615,240,"lower bound",240,1120],[3,19,"f","(16,3)",798,120,"lower bound",120,560],[3,19,"f","(17,1,1)",153,0,"exact",0,0],[3,19,"f","(17,2)",152,0,"exact",0,0],[3,19,"f","(18,1)",18,0,"exact",0,0],[3,19,"f","(19)",1,0,"exact",0,0],[3,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[3,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[3,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,20,"f","(10,10)",16796,12419,"lower bound",12419,16701],[3,20,"f","(15,1,1,1,1,1)",11628,6681,"lower bound",6681,11579],[3,20,"f","(15,5)",10659,4870,"lower bound",4870,10318],[3,20,"f","(16,1,1,1,1)",3876,1326,"lower bound",1326,3740],[3,20,"f","(16,2,1,1)",11475,3340,"lower bound",3340,10860],[3,20,"f","(16,2,2)",7600,2404,"lower bound",2404,7120],[3,20,"f","(16,3,1)",11305,3489,"lower bound",3489,10500],[3,20,"f","(16,4)",3705,1109,"lower bound",1109,3380],[3,20,"f","(17,1,1,1)",969,120,"lower bound",120,680],[3,20,"f","(17,2,1)",1920,240,"lower bound",240,1360],[3,20,"f","(17,3)",950,120,"lower bound",120,680],[3,20,"f","(18,1,1)",171,0,"exact",0,0],[3,20,"f","(18,2)",170,0,"exact",0,0],[3,20,"f","(19,1)",19,0,"exact",0,0],[3,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[3,20,"f","(20)",1,0,"exact",0,0],[3,21,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,21,"f","(16,1,1,1,1,1)",15504,8007,"lower bound",8007,15451],[3,21,"f","(16,5)",14364,5979,"lower bound",5979,13968],[3,21,"f","(17,1,1,1,1)",4845,1446,"lower bound",1446,4692],[3,21,"f","(17,2,1,1)",14364,3700,"lower bound",3700,13668],[3,21,"f","(17,2,2)",9520,2644,"lower bound",2644,8976],[3,21,"f","(17,3,1)",14175,3849,"lower bound",3849,13260],[3,21,"f","(17,4)",4655,1229,"lower bound",1229,4284],[3,21,"f","(18,1,1,1)",1140,120,"lower bound",120,816],[3,21,"f","(18,2,1)",2261,240,"lower bound",240,1632],[3,21,"f","(18,3)",1120,120,"lower bound",120,816],[3,21,"f","(19,1,1)",190,0,"exact",0,0],[3,21,"f","(19,2)",189,0,"exact",0,0],[3,21,"f","(20,1)",20,0,"exact",0,0],[3,21,"f","(21)",1,0,"exact",0,0],[3,22,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,22,"f","(17,5)",19019,7208,"lower bound",7208,18564],[3,22,"f","(18,1,1,1,1)",5985,1566,"lower bound",1566,5814],[3,22,"f","(18,2,1,1)",17765,4060,"lower bound",4060,16983],[3,22,"f","(18,2,2)",11781,2884,"lower bound",2884,11169],[3,22,"f","(18,3,1)",17556,4209,"lower bound",4209,16524],[3,22,"f","(18,4)",5775,1349,"lower bound",1349,5355],[3,22,"f","(19,1,1,1)",1330,120,"lower bound",120,969],[3,22,"f","(19,2,1)",2640,240,"lower bound",240,1938],[3,22,"f","(19,3)",1309,120,"lower bound",120,969],[3,22,"f","(20,1,1)",210,0,"exact",0,0],[3,22,"f","(20,2)",209,0,"exact",0,0],[3,22,"f","(21,1)",21,0,"exact",0,0],[3,22,"f","(22)",1,0,"exact",0,0],[3,23,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,23,"f","(19,1,1,1,1)",7315,1686,"lower bound",1686,7125],[3,23,"f","(19,2,2)",14421,3124,"lower bound",3124,13737],[3,23,"f","(19,4)",7084,1469,"lower bound",1469,6612],[3,23,"f","(20,1,1,1)",1540,120,"lower bound",120,1140],[3,23,"f","(20,2,1)",3059,240,"lower bound",240,2280],[3,23,"f","(20,3)",1518,120,"lower bound",120,1140],[3,23,"f","(21,1,1)",231,0,"exact",0,0],[3,23,"f","(21,2)",230,0,"exact",0,0],[3,23,"f","(22,1)",22,0,"exact",0,0],[3,23,"f","(23)",1,0,"exact",0,0],[3,24,"f","(20,1,1,1,1)",8855,1806,"lower bound",1806,8645],[3,24,"f","(20,2,2)",17480,3364,"lower bound",3364,16720],[3,24,"f","(20,4)",8602,1589,"lower bound",1589,8075],[3,24,"f","(21,1,1,1)",1771,120,"lower bound",120,1330],[3,24,"f","(21,2,1)",3520,240,"lower bound",240,2660],[3,24,"f","(21,3)",1748,120,"lower bound",120,1330],[3,24,"f","(22,1,1)",253,0,"exact",0,0],[3,24,"f","(22,2)",252,0,"exact",0,0],[3,24,"f","(23,1)",23,0,"exact",0,0],[3,24,"f","(24)",1,0,"exact",0,0],[3,25,"f","(21,1,1,1,1)",10626,1926,"lower bound",1926,10395],[3,25,"f","(21,4)",10350,1709,"lower bound",1709,9765],[3,25,"f","(22,1,1,1)",2024,120,"lower bound",120,1540],[3,25,"f","(22,2,1)",4025,240,"lower bound",240,3080],[3,25,"f","(22,3)",2000,120,"lower bound",120,1540],[3,25,"f","(23,1,1)",276,0,"exact",0,0],[3,25,"f","(23,2)",275,0,"exact",0,0],[3,25,"f","(24,1)",24,0,"exact",0,0],[3,25,"f","(25)",1,0,"exact",0,0],[3,26,"f","(22,1,1,1,1)",12650,2046,"lower bound",2046,12397],[3,26,"f","(22,4)",12350,1829,"lower bound",1829,11704],[3,26,"f","(23,1,1,1)",2300,120,"lower bound",120,1771],[3,26,"f","(23,2,1)",4576,240,"lower bound",240,3542],[3,26,"f","(23,3)",2275,120,"lower bound",120,1771],[3,26,"f","(24,1,1)",300,0,"exact",0,0],[3,26,"f","(24,2)",299,0,"exact",0,0],[3,26,"f","(25,1)",25,0,"exact",0,0],[3,26,"f","(26)",1,0,"exact",0,0],[3,27,"f","(23,1,1,1,1)",14950,2166,"lower bound",2166,14674],[3,27,"f","(23,4)",14625,1949,"lower bound",1949,13915],[3,27,"f","(24,1,1,1)",2600,120,"lower bound",120,2024],[3,27,"f","(24,2,1)",5175,240,"lower bound",240,4048],[3,27,"f","(24,3)",2574,120,"lower bound",120,2024],[3,27,"f","(25,1,1)",325,0,"exact",0,0],[3,27,"f","(25,2)",324,0,"exact",0,0],[3,27,"f","(26,1)",26,0,"exact",0,0],[3,27,"f","(27)",1,0,"exact",0,0],[3,28,"f","(24,1,1,1,1)",17550,2286,"lower bound",2286,17250],[3,28,"f","(24,4)",17199,2069,"lower bound",2069,16422],[3,28,"f","(25,1,1,1)",2925,120,"lower bound",120,2300],[3,28,"f","(25,2,1)",5824,240,"lower bound",240,4600],[3,28,"f","(25,3)",2898,120,"lower bound",120,2300],[3,28,"f","(26,1,1)",351,0,"exact",0,0],[3,28,"f","(26,2)",350,0,"exact",0,0],[3,28,"f","(27,1)",27,0,"exact",0,0],[3,28,"f","(28)",1,0,"exact",0,0],[3,29,"f","(26,1,1,1)",3276,120,"lower bound",120,2600],[3,29,"f","(26,2,1)",6525,240,"lower bound",240,5200],[3,29,"f","(26,3)",3248,120,"lower bound",120,2600],[3,29,"f","(27,1,1)",378,0,"exact",0,0],[3,29,"f","(27,2)",377,0,"exact",0,0],[3,29,"f","(28,1)",28,0,"exact",0,0],[3,29,"f","(29)",1,0,"exact",0,0],[3,30,"f","(27,1,1,1)",3654,120,"lower bound",120,2925],[3,30,"f","(27,2,1)",7280,240,"lower bound",240,5850],[3,30,"f","(27,3)",3625,120,"lower bound",120,2925],[3,30,"f","(28,1,1)",406,0,"exact",0,0],[3,30,"f","(28,2)",405,0,"exact",0,0],[3,30,"f","(29,1)",29,0,"exact",0,0],[3,30,"f","(30)",1,0,"exact",0,0],[3,31,"f","(28,1,1,1)",4060,120,"lower bound",120,3276],[3,31,"f","(28,2,1)",8091,240,"lower bound",240,6552],[3,31,"f","(28,3)",4030,120,"lower bound",120,3276],[3,31,"f","(29,1,1)",435,0,"exact",0,0],[3,31,"f","(29,2)",434,0,"exact",0,0],[3,31,"f","(30,1)",30,0,"exact",0,0],[3,6,"p","(1,1,1,1,1,1)",1,1,"exact",1,1],[3,6,"p","(2,1,1,1,1)",5,0,"exact",0,0],[3,6,"p","(2,2,1,1)",9,0,"exact",0,0],[3,6,"p","(2,2,2)",5,0,"exact",0,0],[3,6,"p","(3,1,1,1)",10,0,"exact",0,0],[3,6,"p","(3,2,1)",16,0,"exact",0,0],[3,6,"p","(3,3)",5,0,"exact",0,0],[3,6,"p","(4,1,1)",10,0,"exact",0,0],[3,6,"p","(4,2)",9,0,"exact",0,0],[3,6,"p","(5,1)",5,0,"exact",0,0],[3,6,"p","(6)",1,0,"exact",0,0],[3,7,"p","(1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,7,"p","(2,1,1,1,1,1)",6,2,"exact",2,2],[3,7,"p","(2,2,1,1,1)",14,1,"exact",1,1],[3,7,"p","(2,2,2,1)",14,0,"exact",0,0],[3,7,"p","(3,1,1,1,1)",15,1,"exact",1,1],[3,7,"p","(3,2,1,1)",35,0,"exact",0,0],[3,7,"p","(3,2,2)",21,0,"exact",0,0],[3,7,"p","(3,3,1)",21,0,"exact",0,0],[3,7,"p","(4,1,1,1)",20,0,"exact",0,0],[3,7,"p","(4,2,1)",35,0,"exact",0,0],[3,7,"p","(4,3)",14,0,"exact",0,0],[3,7,"p","(5,1,1)",15,0,"exact",0,0],[3,7,"p","(5,2)",14,0,"exact",0,0],[3,7,"p","(6,1)",6,0,"exact",0,0],[3,7,"p","(7)",1,0,"exact",0,0],[3,8,"p","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,8,"p","(2,1,1,1,1,1,1)",7,2,"exact",2,2],[3,8,"p","(2,2,1,1,1,1)",20,5,"exact",5,5],[3,8,"p","(2,2,2,1,1)",28,3,"exact",3,3],[3,8,"p","(2,2,2,2)",14,0,"exact",0,0],[3,8,"p","(3,1,1,1,1,1)",21,5,"exact",5,5],[3,8,"p","(3,2,1,1,1)",64,6,"exact",6,6],[3,8,"p","(3,2,2,1)",70,2,"exact",2,2],[3,8,"p","(3,3,1,1)",56,0,"exact",0,0],[3,8,"p","(3,3,2)",42,0,"exact",0,0],[3,8,"p","(4,1,1,1,1)",35,3,"exact",3,3],[3,8,"p","(4,2,1,1)",90,2,"exact",2,2],[3,8,"p","(4,2,2)",56,0,"exact",0,0],[3,8,"p","(4,3,1)",70,0,"exact",0,0],[3,8,"p","(4,4)",14,0,"exact",0,0],[3,8,"p","(5,1,1,1)",35,0,"exact",0,0],[3,8,"p","(5,2,1)",64,0,"exact",0,0],[3,8,"p","(5,3)",28,0,"exact",0,0],[3,8,"p","(6,1,1)",21,0,"exact",0,0],[3,8,"p","(6,2)",20,0,"exact",0,0],[3,8,"p","(7,1)",7,0,"exact",0,0],[3,8,"p","(8)",1,0,"exact",0,0],[3,9,"p","(1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,9,"p","(2,1,1,1,1,1,1,1)",8,4,"exact",4,4],[3,9,"p","(2,2,1,1,1,1,1)",27,9,"exact",9,9],[3,9,"p","(2,2,2,1,1,1)",48,13,"exact",13,13],[3,9,"p","(2,2,2,2,1)",42,7,"exact",7,7],[3,9,"p","(3,1,1,1,1,1,1)",28,9,"exact",9,9],[3,9,"p","(3,2,1,1,1,1)",105,27,"exact",27,27],[3,9,"p","(3,2,2,1,1)",162,26,"exact",26,26],[3,9,"p","(3,2,2,2)",84,12,"exact",12,12],[3,9,"p","(3,3,1,1,1)",120,19,"exact",19,19],[3,9,"p","(3,3,2,1)",168,18,"exact",18,18],[3,9,"p","(3,3,3)",42,6,"exact",6,6],[3,9,"p","(4,1,1,1,1,1)",56,13,"exact",13,13],[3,9,"p","(4,2,1,1,1)",189,26,"exact",26,26],[3,9,"p","(4,2,2,1)",216,19,"exact",19,19],[3,9,"p","(4,3,1,1)",216,16,"exact",16,16],[3,9,"p","(4,3,2)",168,8,"exact",8,8],[3,9,"p","(4,4,1)",84,4,"exact",4,4],[3,9,"p","(5,1,1,1,1)",70,8,"exact",8,8],[3,9,"p","(5,2,1,1)",189,11,"exact",11,11],[3,9,"p","(5,2,2)",120,6,"exact",6,6],[3,9,"p","(5,3,1)",162,5,"exact",5,5],[3,9,"p","(5,4)",42,1,"exact",1,1],[3,9,"p","(6,1,1,1)",56,1,"exact",1,1],[3,9,"p","(6,2,1)",105,2,"exact",2,2],[3,9,"p","(6,3)",48,1,"exact",1,1],[3,9,"p","(7,1,1)",28,0,"exact",0,0],[3,9,"p","(7,2)",27,0,"exact",0,0],[3,9,"p","(8,1)",8,0,"exact",0,0],[3,9,"p","(9)",1,0,"exact",0,0],[3,10,"p","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"p","(2,1,1,1,1,1,1,1,1)",9,4,"exact",4,4],[3,10,"p","(2,2,1,1,1,1,1,1)",35,15,"exact",15,15],[3,10,"p","(2,2,2,1,1,1,1)",75,27,"exact",27,27],[3,10,"p","(2,2,2,2,1,1)",90,30,"exact",30,30],[3,10,"p","(2,2,2,2,2)",42,11,"exact",11,11],[3,10,"p","(3,1,1,1,1,1,1,1)",36,15,"exact",15,15],[3,10,"p","(3,2,1,1,1,1,1)",160,58,"exact",58,58],[3,10,"p","(3,2,2,1,1,1)",315,99,"exact",99,99],[3,10,"p","(3,2,2,2,1)",288,78,"exact",78,78],[3,10,"p","(3,3,1,1,1,1)",225,72,"exact",72,72],[3,10,"p","(3,3,2,1,1)",450,114,"exact",114,114],[3,10,"p","(3,3,2,2)",252,60,"exact",60,60],[3,10,"p","(3,3,3,1)",210,46,"exact",46,46],[3,10,"p","(4,1,1,1,1,1,1)",84,29,"exact",29,29],[3,10,"p","(4,2,1,1,1,1)",350,101,"exact",101,101],[3,10,"p","(4,2,2,1,1)",567,135,"exact",135,135],[3,10,"p","(4,2,2,2)",300,63,"exact",63,63],[3,10,"p","(4,3,1,1,1)",525,119,"exact",119,119],[3,10,"p","(4,3,2,1)",768,146,"exact",146,146],[3,10,"p","(4,3,3)",210,35,"exact",35,35],[3,10,"p","(4,4,1,1)",300,52,"exact",52,52],[3,10,"p","(4,4,2)",252,36,"exact",36,36],[3,10,"p","(5,1,1,1,1,1)",126,34,"exact",34,34],[3,10,"p","(5,2,1,1,1)",448,88,"exact",88,88],[3,10,"p","(5,2,2,1)",525,83,"exact",83,83],[3,10,"p","(5,3,1,1)",567,81,"exact",81,81],[3,10,"p","(5,3,2)",450,55,"exact",55,55],[3,10,"p","(5,4,1)",288,31,"exact",31,31],[3,10,"p","(5,5)",42,3,"exact",3,3],[3,10,"p","(6,1,1,1,1)",126,18,"exact",18,18],[3,10,"p","(6,2,1,1)",350,37,"exact",37,37],[3,10,"p","(6,2,2)",225,20,"exact",20,20],[3,10,"p","(6,3,1)",315,25,"exact",25,25],[3,10,"p","(6,4)",90,6,"exact",6,6],[3,10,"p","(7,1,1,1)",84,3,"exact",3,3],[3,10,"p","(7,2,1)",160,6,"exact",6,6],[3,10,"p","(7,3)",75,3,"exact",3,3],[3,10,"p","(8,1,1)",36,0,"exact",0,0],[3,10,"p","(8,2)",35,0,"exact",0,0],[3,10,"p","(9,1)",9,0,"exact",0,0],[3,10,"p","(10)",1,0,"exact",0,0],[3,11,"p","(1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,11,"p","(2,1,1,1,1,1,1,1,1,1)",10,5,"exact",5,5],[3,11,"p","(2,2,1,1,1,1,1,1,1)",44,20,"exact",20,20],[3,11,"p","(2,2,2,1,1,1,1,1)",110,47,"exact",47,47],[3,11,"p","(2,2,2,2,1,1,1)",165,66,"exact",66,66],[3,11,"p","(2,2,2,2,2,1)",132,50,"exact",50,50],[3,11,"p","(3,1,1,1,1,1,1,1,1)",45,20,"exact",20,20],[3,11,"p","(3,2,1,1,1,1,1,1)",231,97,"exact",97,97],[3,11,"p","(3,2,2,1,1,1,1)",550,215,"exact",215,215],[3,11,"p","(3,2,2,2,1,1)",693,253,"exact",253,253],[3,11,"p","(3,2,2,2,2)",330,114,"exact",114,114],[3,11,"p","(3,3,1,1,1,1,1)",385,149,"exact",149,149],[3,11,"p","(3,3,2,1,1,1)",990,348,"lower bound",348,352],[3,11,"p","(3,3,2,2,1)",990,311,"lower bound",311,326],[3,11,"p","(3,3,3,1,1)",660,210,"exact",210,210],[3,11,"p","(3,3,3,2)",462,140,"exact",140,140],[3,11,"p","(4,1,1,1,1,1,1,1)",120,48,"exact",48,48],[3,11,"p","(4,2,1,1,1,1,1)",594,222,"lower bound",222,223],[3,11,"p","(4,2,2,1,1,1)",1232,420,"lower bound",420,423],[3,11,"p","(4,2,2,2,1)",1155,360,"lower bound",360,365],[3,11,"p","(4,3,1,1,1,1)",1100,367,"lower bound",367,372],[3,11,"p","(4,3,2,1,1)",2310,684,"lower bound",684,699],[3,11,"p","(4,3,2,2)",1320,376,"exact",376,376],[3,11,"p","(4,3,3,1)",1188,322,"exact",322,322],[3,11,"p","(4,4,1,1,1)",825,238,"exact",238,238],[3,11,"p","(4,4,2,1)",1320,343,"exact",343,343],[3,11,"p","(4,4,3)",462,108,"exact",108,108],[3,11,"p","(5,1,1,1,1,1,1)",210,73,"exact",73,73],[3,11,"p","(5,2,1,1,1,1)",924,291,"exact",291,291],[3,11,"p","(5,2,2,1,1)",1540,427,"exact",427,427],[3,11,"p","(5,2,2,2)",825,214,"exact",214,214],[3,11,"p","(5,3,1,1,1)",1540,415,"exact",415,415],[3,11,"p","(5,3,2,1)",2310,554,"exact",554,554],[3,11,"p","(5,3,3)",660,142,"exact",142,142],[3,11,"p","(5,4,1,1)",1155,257,"exact",257,257],[3,11,"p","(5,4,2)",990,201,"exact",201,201],[3,11,"p","(5,5,1)",330,59,"exact",59,59],[3,11,"p","(6,1,1,1,1,1)",252,70,"exact",70,70],[3,11,"p","(6,2,1,1,1)",924,213,"exact",213,213],[3,11,"p","(6,2,2,1)",1100,220,"exact",220,220],[3,11,"p","(6,3,1,1)",1232,233,"exact",233,233],[3,11,"p","(6,3,2)",990,168,"exact",168,168],[3,11,"p","(6,4,1)",693,108,"exact",108,108],[3,11,"p","(6,5)",132,17,"exact",17,17],[3,11,"p","(7,1,1,1,1)",210,35,"exact",35,35],[3,11,"p","(7,2,1,1)",594,80,"exact",80,80],[3,11,"p","(7,2,2)",385,48,"exact",48,48],[3,11,"p","(7,3,1)",550,62,"exact",62,62],[3,11,"p","(7,4)",165,17,"exact",17,17],[3,11,"p","(8,1,1,1)",120,6,"exact",6,6],[3,11,"p","(8,2,1)",231,12,"exact",12,12],[3,11,"p","(8,3)",110,6,"exact",6,6],[3,11,"p","(9,1,1)",45,0,"exact",0,0],[3,11,"p","(9,2)",44,0,"exact",0,0],[3,11,"p","(10,1)",10,0,"exact",0,0],[3,11,"p","(11)",1,0,"exact",0,0],[3,12,"p","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"p","(2,1,1,1,1,1,1,1,1,1,1)",11,5,"exact",5,5],[3,12,"p","(2,2,1,1,1,1,1,1,1,1)",54,25,"exact",25,25],[3,12,"p","(2,2,2,1,1,1,1,1,1)",154,69,"exact",69,69],[3,12,"p","(2,2,2,2,1,1,1,1)",275,119,"exact",119,119],[3,12,"p","(2,2,2,2,2,1,1)",297,124,"exact",124,124],[3,12,"p","(2,2,2,2,2,2)",132,53,"exact",53,53],[3,12,"p","(3,1,1,1,1,1,1,1,1,1)",55,25,"exact",25,25],[3,12,"p","(3,2,1,1,1,1,1,1,1)",320,140,"exact",140,140],[3,12,"p","(3,2,2,1,1,1,1,1)",891,376,"exact",376,376],[3,12,"p","(3,2,2,2,1,1,1)",1408,497,"lower bound",497,572],[3,12,"p","(3,2,2,2,2,1)",1155,423,"lower bound",423,456],[3,12,"p","(3,3,1,1,1,1,1,1)",616,256,"exact",256,256],[3,12,"p","(3,3,2,1,1,1,1)",1925,770,"lower bound",770,774],[3,12,"p","(3,3,2,2,1,1)",2673,593,"lower bound",593,1042],[3,12,"p","(3,3,2,2,2)",1320,418,"lower bound",418,508],[3,12,"p","(3,3,3,1,1,1)",1650,592,"lower bound",592,628],[3,12,"p","(3,3,3,2,1)",2112,685,"lower bound",685,779],[3,12,"p","(3,3,3,3)",462,137,"lower bound",137,160],[3,12,"p","(4,1,1,1,1,1,1,1,1)",165,70,"exact",70,70],[3,12,"p","(4,2,1,1,1,1,1,1)",945,385,"lower bound",385,386],[3,12,"p","(4,2,2,1,1,1,1)",2376,920,"lower bound",920,931],[3,12,"p","(4,2,2,2,1,1)",3080,644,"lower bound",644,1163],[3,12,"p","(4,2,2,2,2)",1485,392,"lower bound",392,542],[3,12,"p","(4,3,1,1,1,1,1)",2079,801,"lower bound",801,809],[3,12,"p","(4,3,2,1,1,1)",5632,1074,"lower bound",1074,2208],[3,12,"p","(4,3,2,2,1)",5775,923,"lower bound",923,2055],[3,12,"p","(4,3,3,1,1)",4158,627,"lower bound",627,1434],[3,12,"p","(4,3,3,2)",2970,850,"lower bound",850,981],[3,12,"p","(4,4,1,1,1,1)",1925,648,"lower bound",648,691],[3,12,"p","(4,4,2,1,1)",4455,619,"lower bound",619,1508],[3,12,"p","(4,4,2,2)",2640,339,"lower bound",339,848],[3,12,"p","(4,4,3,1)",2970,812,"lower bound",812,932],[3,12,"p","(4,4,4)",462,126,"lower bound",126,132],[3,12,"p","(5,1,1,1,1,1,1,1)",330,126,"lower bound",126,127],[3,12,"p","(5,2,1,1,1,1,1)",1728,596,"lower bound",596,641],[3,12,"p","(5,2,2,1,1,1)",3696,631,"lower bound",631,1396],[3,12,"p","(5,2,2,2,1)",3520,786,"lower bound",786,1175],[3,12,"p","(5,3,1,1,1,1)",3564,565,"lower bound",565,1332],[3,12,"p","(5,3,2,1,1)",7700,956,"lower bound",956,2492],[3,12,"p","(5,3,2,2)",4455,493,"lower bound",493,1381],[3,12,"p","(5,3,3,1)",4158,420,"lower bound",420,1239],[3,12,"p","(5,4,1,1,1)",3520,939,"lower bound",939,1096],[3,12,"p","(5,4,2,1)",5775,528,"lower bound",528,1678],[3,12,"p","(5,4,3)",2112,526,"lower bound",526,569],[3,12,"p","(5,5,1,1)",1485,243,"lower bound",243,400],[3,12,"p","(5,5,2)",1320,167,"lower bound",167,337],[3,12,"p","(6,1,1,1,1,1,1)",462,141,"lower bound",141,158],[3,12,"p","(6,2,1,1,1,1)",2100,625,"lower bound",625,669],[3,12,"p","(6,2,2,1,1)",3564,347,"lower bound",347,1050],[3,12,"p","(6,2,2,2)",1925,369,"lower bound",369,537],[3,12,"p","(6,3,1,1,1)",3696,326,"lower bound",326,1066],[3,12,"p","(6,3,2,1)",5632,400,"lower bound",400,1505],[3,12,"p","(6,3,3)",1650,197,"lower bound",197,407],[3,12,"p","(6,4,1,1)",3080,463,"lower bound",463,791],[3,12,"p","(6,4,2)",2673,308,"lower bound",308,643],[3,12,"p","(6,5,1)",1155,245,"lower bound",245,250],[3,12,"p","(6,6)",132,23,"exact",23,23],[3,12,"p","(7,1,1,1,1,1)",462,105,"lower bound",105,129],[3,12,"p","(7,2,1,1,1)",1728,327,"lower bound",327,424],[3,12,"p","(7,2,2,1)",2079,296,"lower bound",296,464],[3,12,"p","(7,3,1,1)",2376,215,"lower bound",215,520],[3,12,"p","(7,3,2)",1925,288,"lower bound",288,383],[3,12,"p","(7,4,1)",1408,235,"lower bound",235,263],[3,12,"p","(7,5)",297,49,"exact",49,49],[3,12,"p","(8,1,1,1,1)",330,58,"exact",58,58],[3,12,"p","(8,2,1,1)",945,142,"lower bound",142,145],[3,12,"p","(8,2,2)",616,88,"exact",88,88],[3,12,"p","(8,3,1)",891,120,"lower bound",120,121],[3,12,"p","(8,4)",275,34,"exact",34,34],[3,12,"p","(10,1,1)",55,0,"exact",0,0],[3,12,"p","(10,2)",54,0,"exact",0,0],[3,12,"p","(11,1)",11,0,"exact",0,0],[3,12,"p","(12)",1,0,"exact",0,0],[3,12,"p","(9,1,1,1)",165,10,"exact",10,10],[3,12,"p","(9,2,1)",320,20,"exact",20,20],[3,12,"p","(9,3)",154,10,"exact",10,10],[3,13,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,13,"p","(2,1,1,1,1,1,1,1,1,1,1,1)",12,6,"exact",6,6],[3,13,"p","(2,2,1,1,1,1,1,1,1,1,1)",65,30,"exact",30,30],[3,13,"p","(2,2,2,1,1,1,1,1,1,1)",208,94,"exact",94,94],[3,13,"p","(2,2,2,2,1,1,1,1,1)",429,190,"exact",190,190],[3,13,"p","(2,2,2,2,2,1,1,1)",572,248,"exact",248,248],[3,13,"p","(2,2,2,2,2,2,1)",429,183,"exact",183,183],[3,13,"p","(3,1,1,1,1,1,1,1,1,1,1)",66,30,"exact",30,30],[3,13,"p","(3,2,1,1,1,1,1,1,1,1)",429,190,"exact",190,190],[3,13,"p","(3,2,2,1,1,1,1,1,1)",1365,590,"exact",590,590],[3,13,"p","(3,2,2,2,1,1,1,1)",2574,881,"lower bound",881,1088],[3,13,"p","(3,2,2,2,2,1,1)",2860,885,"lower bound",885,1202],[3,13,"p","(3,2,2,2,2,2)",1287,396,"lower bound",396,538],[3,13,"p","(3,3,1,1,1,1,1,1,1)",936,400,"exact",400,400],[3,13,"p","(3,3,2,1,1,1,1,1)",3432,1425,"lower bound",1425,1429],[3,13,"p","(3,3,2,2,1,1,1)",6006,1476,"lower bound",1476,2476],[3,13,"p","(3,3,2,2,2,1)",5148,1334,"lower bound",1334,2104],[3,13,"p","(3,3,3,1,1,1,1)",3575,1428,"lower bound",1428,1460],[3,13,"p","(3,3,3,2,1,1)",6435,1367,"lower bound",1367,2596],[3,13,"p","(3,3,3,2,2)",3432,1297,"lower bound",1297,1376],[3,13,"p","(3,3,3,3,1)",2574,593,"lower bound",593,1024],[3,13,"p","(4,1,1,1,1,1,1,1,1,1)",220,95,"exact",95,95],[3,13,"p","(4,2,1,1,1,1,1,1,1)",1430,600,"exact",600,600],[3,13,"p","(4,2,2,1,1,1,1,1)",4212,1712,"lower bound",1712,1723],[3,13,"p","(4,2,2,2,1,1,1)",6864,1603,"lower bound",1603,2780],[3,13,"p","(4,2,2,2,2,1)",5720,1032,"lower bound",1032,2297],[3,13,"p","(4,3,1,1,1,1,1,1)",3640,1466,"lower bound",1466,1474],[3,13,"p","(4,3,2,1,1,1,1)",12012,2558,"lower bound",2558,4793],[3,13,"p","(4,3,2,2,1,1)",17160,1620,"lower bound",1620,6765],[3,13,"p","(4,3,2,2,2)",8580,933,"lower bound",933,3362],[3,13,"p","(4,3,3,1,1,1)",11440,1132,"lower bound",1132,4469],[3,13,"p","(4,3,3,2,1)",15015,1628,"lower bound",1628,5810],[3,13,"p","(4,3,3,3)",3432,1183,"lower bound",1183,1314],[3,13,"p","(4,4,1,1,1,1,1)",4004,1532,"lower bound",1532,1570],[3,13,"p","(4,4,2,1,1,1)",12012,1078,"lower bound",1078,4634],[3,13,"p","(4,4,2,2,1)",12870,569,"lower bound",569,4918],[3,13,"p","(4,4,3,1,1)",11583,838,"lower bound",838,4386],[3,13,"p","(4,4,3,2)",8580,1084,"lower bound",1084,3228],[3,13,"p","(4,4,4,1)",3432,1152,"lower bound",1152,1272],[3,13,"p","(5,1,1,1,1,1,1,1,1)",495,200,"exact",200,200],[3,13,"p","(5,2,1,1,1,1,1,1)",3003,942,"lower bound",942,1180],[3,13,"p","(5,2,2,1,1,1,1)",7800,1437,"lower bound",1437,3020],[3,13,"p","(5,2,2,2,1,1)",10296,1010,"lower bound",1010,3940],[3,13,"p","(5,2,2,2,2)",5005,1520,"lower bound",1520,1904],[3,13,"p","(5,3,1,1,1,1,1)",7371,1258,"lower bound",1258,2826],[3,13,"p","(5,3,2,1,1,1)",20592,854,"lower bound",854,7771],[3,13,"p","(5,3,2,2,1)",21450,868,"lower bound",868,8020],[3,13,"p","(5,3,3,1,1)",16016,243,"lower bound",243,5936],[3,13,"p","(5,3,3,2)",11583,461,"lower bound",461,4266],[3,13,"p","(5,4,1,1,1,1)",9009,1113,"lower bound",1113,3346],[3,13,"p","(5,4,2,1,1)",21450,599,"lower bound",599,7860],[3,13,"p","(5,4,2,2)",12870,52,"lower bound",52,4686],[3,13,"p","(5,4,3,1)",15015,512,"lower bound",512,5418],[3,13,"p","(5,5,1,1,1)",5005,1635,"lower bound",1635,1792],[3,13,"p","(5,5,2,1)",8580,338,"lower bound",338,3039],[3,13,"p","(5,5,3)",3432,1030,"lower bound",1030,1200],[3,13,"p","(6,1,1,1,1,1,1,1)",792,293,"lower bound",293,294],[3,13,"p","(6,2,1,1,1,1,1)",4290,1526,"lower bound",1526,1570],[3,13,"p","(6,2,2,1,1,1)",9360,486,"lower bound",486,3375],[3,13,"p","(6,2,2,2,1)",9009,463,"lower bound",463,3220],[3,13,"p","(6,3,1,1,1,1)",9360,357,"lower bound",357,3346],[3,13,"p","(6,3,2,1,1)",20592,178,"lower bound",178,7268],[3,13,"p","(6,3,2,2)",12012,51,"lower bound",51,4214],[3,13,"p","(6,3,3,1)",11440,29,"lower bound",29,3980],[3,13,"p","(6,4,1,1,1)",10296,435,"lower bound",435,3584],[3,13,"p","(6,4,2,1)",17160,34,"lower bound",34,5912],[3,13,"p","(6,4,3)",6435,1543,"lower bound",1543,2190],[3,13,"p","(6,5,1,1)",5720,1604,"lower bound",1604,1932],[3,13,"p","(6,5,2)",5148,1390,"lower bound",1390,1725],[3,13,"p","(7,1,1,1,1,1,1)",924,297,"lower bound",297,314],[3,13,"p","(7,2,1,1,1,1)",4290,1337,"lower bound",1337,1434],[3,13,"p","(7,2,2,1,1)",7371,779,"lower bound",779,2436],[3,13,"p","(7,2,2,2)",4004,1148,"lower bound",1148,1316],[3,13,"p","(7,3,1,1,1)",7800,671,"lower bound",671,2560],[3,13,"p","(7,3,2,1)",12012,18,"lower bound",18,3906],[3,13,"p","(7,3,3)",3575,935,"lower bound",935,1150],[3,13,"p","(7,4,1,1)",6864,1469,"lower bound",1469,2208],[3,13,"p","(8,1,1,1,1,1)",792,190,"lower bound",190,239],[3,13,"p","(8,2,1,1,1)",3003,129,"lower bound",129,855],[3,13,"p","(8,2,2,1)",3640,846,"lower bound",846,1031],[3,13,"p","(8,3,1,1)",4212,937,"lower bound",937,1242],[3,13,"p","(11,1,1)",66,0,"exact",0,0],[3,13,"p","(11,2)",65,0,"exact",0,0],[3,13,"p","(12,1)",12,0,"exact",0,0],[3,13,"p","(13)",1,0,"exact",0,0],[3,13,"p","(10,1,1,1)",220,15,"exact",15,15],[3,13,"p","(10,2,1)",429,29,"lower bound",29,30],[3,13,"p","(10,3)",208,15,"exact",15,15],[3,13,"p","(5,4,4)",2574,344,"lower bound",344,848],[3,13,"p","(6,6,1)",1287,118,"lower bound",118,332],[3,13,"p","(7,4,2)",6006,1411,"lower bound",1411,1918],[3,13,"p","(7,5,1)",2860,432,"lower bound",432,750],[3,13,"p","(7,6)",429,88,"lower bound",88,90],[3,13,"p","(8,3,2)",3432,736,"lower bound",736,846],[3,13,"p","(8,4,1)",2574,146,"lower bound",146,585],[3,13,"p","(8,5)",572,98,"lower bound",98,106],[3,13,"p","(9,1,1,1,1)",495,41,"lower bound",41,90],[3,13,"p","(9,2,1,1)",1430,74,"lower bound",74,236],[3,13,"p","(9,2,2)",936,36,"lower bound",36,146],[3,13,"p","(9,3,1)",1365,32,"lower bound",32,204],[3,13,"p","(9,4)",429,10,"lower bound",10,60],[3,14,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,6,"exact",6,6],[3,14,"p","(2,2,1,1,1,1,1,1,1,1,1,1)",77,36,"exact",36,36],[3,14,"p","(2,2,2,1,1,1,1,1,1,1,1)",273,124,"exact",124,124],[3,14,"p","(2,2,2,2,1,1,1,1,1,1)",637,284,"exact",284,284],[3,14,"p","(2,2,2,2,2,1,1,1,1)",1001,440,"exact",440,440],[3,14,"p","(2,2,2,2,2,2,1,1)",1001,435,"exact",435,435],[3,14,"p","(2,2,2,2,2,2,2)",429,184,"exact",184,184],[3,14,"p","(3,1,1,1,1,1,1,1,1,1,1,1)",78,36,"exact",36,36],[3,14,"p","(3,2,1,1,1,1,1,1,1,1,1)",560,250,"exact",250,250],[3,14,"p","(3,2,2,1,1,1,1,1,1,1)",2002,874,"exact",874,874],[3,14,"p","(3,2,2,2,1,1,1,1,1)",4368,1874,"exact",1874,1874],[3,14,"p","(3,2,2,2,2,1,1,1)",6006,1877,"lower bound",1877,2546],[3,14,"p","(3,2,2,2,2,2,1)",4576,1490,"lower bound",1490,1926],[3,14,"p","(3,3,1,1,1,1,1,1,1,1)",1365,590,"exact",590,590],[3,14,"p","(3,3,2,1,1,1,1,1,1)",5733,2426,"exact",2426,2426],[3,14,"p","(3,3,2,2,1,1,1,1)",12012,3502,"lower bound",3502,5006],[3,14,"p","(3,3,2,2,2,1,1)",14014,3206,"lower bound",3206,5782],[3,14,"p","(3,3,2,2,2,2)",6435,1456,"lower bound",1456,2642],[3,14,"p","(3,3,3,1,1,1,1,1)",7007,2681,"lower bound",2681,2896],[3,14,"p","(3,3,3,2,1,1,1)",16016,3649,"lower bound",3649,6532],[3,14,"p","(3,3,3,2,2,1)",15015,3259,"lower bound",3259,6076],[3,14,"p","(3,3,3,3,1,1)",9009,1490,"lower bound",1490,3620],[3,14,"p","(4,1,1,1,1,1,1,1,1,1,1)",286,125,"exact",125,125],[3,14,"p","(4,2,1,1,1,1,1,1,1,1)",2079,885,"exact",885,885],[3,14,"p","(4,2,2,1,1,1,1,1,1)",7007,2921,"exact",2921,2921],[3,14,"p","(4,2,2,2,1,1,1,1)",13650,3847,"lower bound",3847,5605],[3,14,"p","(4,2,2,2,2,1,1)",15444,2931,"lower bound",2931,6279],[3,14,"p","(4,2,2,2,2,2)",7007,1115,"lower bound",1115,2835],[3,14,"p","(4,3,1,1,1,1,1,1,1)",6006,2480,"exact",2480,2480],[3,14,"p","(4,3,2,1,1,1,1,1)",23296,6669,"lower bound",6669,9440],[3,14,"p","(4,3,2,2,1,1,1)",42042,5639,"lower bound",5639,16814],[3,14,"p","(4,3,2,2,2,1)",36608,3117,"lower bound",3117,14528],[3,14,"p","(4,3,3,1,1,1,1)",27027,4043,"lower bound",4043,10722],[3,14,"p","(4,3,3,2,1,1)",50050,2918,"lower bound",2918,19640],[3,14,"p","(4,3,3,2,2)",27027,2038,"lower bound",2038,10548],[3,14,"p","(4,3,3,3,1)",21021,1885,"lower bound",1885,8148],[3,14,"p","(4,4,1,1,1,1,1,1)",7644,2770,"lower bound",2770,3050],[3,14,"p","(4,4,2,1,1,1,1)",28028,3978,"lower bound",3978,10997],[3,14,"p","(4,4,2,2,1,1)",42042,778,"lower bound",778,16317],[3,14,"p","(4,4,2,2,2)",21450,766,"lower bound",766,8280],[3,14,"p","(4,4,3,1,1,1)",35035,1170,"lower bound",1170,13489],[3,14,"p","(4,4,3,2,1)",48048,1025,"lower bound",1025,18342],[3,14,"p","(4,4,4,1,1)",15015,660,"lower bound",660,5658],[3,14,"p","(5,1,1,1,1,1,1,1,1,1)",715,295,"exact",295,295],[3,14,"p","(5,2,1,1,1,1,1,1,1)",4928,1984,"exact",1984,1984],[3,14,"p","(5,2,2,1,1,1,1,1)",15015,3721,"lower bound",3721,5935],[3,14,"p","(5,2,2,2,1,1,1)",24960,2957,"lower bound",2957,9740],[3,14,"p","(5,2,2,2,2,1)",21021,2405,"lower bound",2405,8141],[3,14,"p","(5,3,1,1,1,1,1,1)",14014,3318,"lower bound",3318,5490],[3,14,"p","(5,3,2,1,1,1,1)",47775,3971,"lower bound",3971,18410],[3,14,"p","(5,3,2,2,1,1)",69498,435,"lower bound",435,26496],[3,14,"p","(5,3,2,2,2)",35035,1265,"lower bound",1265,13286],[3,14,"p","(5,3,3,1,1,1)",48048,407,"lower bound",407,18176],[3,14,"p","(5,3,3,2,1)",64064,616,"lower bound",616,24032],[3,14,"p","(5,3,3,3)",15015,229,"lower bound",229,5580],[3,14,"p","(5,4,1,1,1,1,1)",20384,2848,"lower bound",2848,7742],[3,14,"p","(5,4,2,1,1,1)",63063,292,"lower bound",292,23611],[3,14,"p","(5,4,2,2,1)",68640,549,"lower bound",549,25484],[3,14,"p","(5,4,3,1,1)",64064,803,"lower bound",803,23600],[3,14,"p","(5,4,3,2)",48048,594,"lower bound",594,17598],[3,14,"p","(5,4,4,1)",21021,169,"lower bound",169,7602],[3,14,"p","(5,5,1,1,1,1)",14014,1529,"lower bound",1529,5138],[3,14,"p","(5,5,2,1,1)",35035,653,"lower bound",653,12691],[3,14,"p","(5,5,2,2)",21450,238,"lower bound",238,7725],[3,14,"p","(5,5,3,1)",27027,224,"lower bound",224,9657],[3,14,"p","(5,5,4)",6006,1011,"lower bound",1011,2112],[3,14,"p","(6,1,1,1,1,1,1,1,1)",1287,496,"exact",496,496],[3,14,"p","(6,2,1,1,1,1,1,1)",8085,2425,"lower bound",2425,3050],[3,14,"p","(6,2,2,1,1,1,1)",21450,2231,"lower bound",2231,7965],[3,14,"p","(6,2,2,2,1,1)",28665,1174,"lower bound",1174,10535],[3,14,"p","(6,2,2,2,2)",14014,728,"lower bound",728,5124],[3,14,"p","(6,3,1,1,1,1,1)",21021,1887,"lower bound",1887,7742],[3,14,"p","(6,3,2,1,1,1)",59904,251,"lower bound",251,21760],[3,14,"p","(6,3,2,2,1)",63063,610,"lower bound",610,22722],[3,14,"p","(6,3,3,1,1)",48048,842,"lower bound",842,17184],[3,14,"p","(6,3,3,2)",35035,427,"lower bound",427,12460],[3,14,"p","(6,4,1,1,1,1)",28665,939,"lower bound",939,10276],[3,14,"p","(6,4,2,1,1)",69498,553,"lower bound",553,24624],[3,14,"p","(6,4,2,2)",42042,460,"lower bound",460,14812],[3,14,"p","(6,4,3,1)",50050,381,"lower bound",381,17500],[3,14,"p","(6,5,1,1,1)",21021,1159,"lower bound",1159,7308],[3,14,"p","(6,5,2,1)",36608,238,"lower bound",238,12608],[3,14,"p","(6,6,1,1)",7007,852,"lower bound",852,2352],[3,14,"p","(6,6,2)",6435,903,"lower bound",903,2145],[3,14,"p","(7,1,1,1,1,1,1,1)",1716,605,"lower bound",605,610],[3,14,"p","(7,2,1,1,1,1,1)",9504,2373,"lower bound",2373,3318],[3,14,"p","(7,2,2,1,1,1)",21021,798,"lower bound",798,7245],[3,14,"p","(7,2,2,2,1)",20384,469,"lower bound",469,6972],[3,14,"p","(7,3,1,1,1,1)",21450,695,"lower bound",695,7340],[3,14,"p","(7,3,2,1,1)",47775,698,"lower bound",698,16170],[3,14,"p","(7,3,2,2)",28028,277,"lower bound",277,9436],[3,14,"p","(7,3,3,1)",27027,184,"lower bound",184,9036],[3,14,"p","(7,4,1,1,1)",24960,303,"lower bound",303,8352],[3,14,"p","(7,4,2,1)",42042,227,"lower bound",227,13944],[3,14,"p","(7,6,1)",4576,1167,"lower bound",1167,1452],[3,14,"p","(7,7)",429,103,"lower bound",103,105],[3,14,"p","(8,1,1,1,1,1,1)",1716,521,"lower bound",521,553],[3,14,"p","(8,2,1,1,1,1)",8085,682,"lower bound",682,2569],[3,14,"p","(8,3,3)",7007,879,"lower bound",879,1890],[3,14,"p","(8,5,1)",6006,1254,"lower bound",1254,1815],[3,14,"p","(8,6)",1001,226,"lower bound",226,237],[3,14,"p","(9,1,1,1,1,1)",1287,318,"lower bound",318,367],[3,14,"p","(9,2,1,1,1)",4928,458,"lower bound",458,1392],[3,14,"p","(9,2,2,1)",6006,505,"lower bound",505,1686],[3,14,"p","(9,3,2)",5733,881,"lower bound",881,1586],[3,14,"p","(9,4,1)",4368,800,"lower bound",800,1210],[3,14,"p","(9,5)",1001,194,"lower bound",194,256],[3,14,"p","(10,1,1,1,1)",715,114,"lower bound",114,174],[3,14,"p","(10,2,1,1)",2079,345,"lower bound",345,504],[3,14,"p","(10,2,2)",1365,220,"lower bound",220,330],[3,14,"p","(10,3,1)",2002,313,"lower bound",313,484],[3,14,"p","(10,4)",637,92,"lower bound",92,144],[3,14,"p","(12,1,1)",78,0,"exact",0,0],[3,14,"p","(12,2)",77,0,"exact",0,0],[3,14,"p","(13,1)",13,0,"exact",0,0],[3,14,"p","(14)",1,0,"exact",0,0],[3,14,"p","(11,1,1,1)",286,21,"exact",21,21],[3,14,"p","(11,2,1)",560,42,"lower bound",42,43],[3,14,"p","(11,3)",273,21,"exact",21,21],[3,14,"p","(3,3,3,3,2)",6006,1544,"lower bound",1544,2400],[3,14,"p","(4,4,3,3)",12012,1172,"lower bound",1172,4542],[3,14,"p","(4,4,4,2)",12012,1179,"lower bound",1179,4500],[3,14,"p","(6,4,4)",9009,778,"lower bound",778,3102],[3,14,"p","(6,5,3)",15015,1964,"lower bound",1964,5010],[3,14,"p","(7,4,3)",16016,1591,"lower bound",1591,5150],[3,14,"p","(7,5,1,1)",15444,1518,"lower bound",1518,5040],[3,14,"p","(7,5,2)",14014,1365,"lower bound",1365,4445],[3,14,"p","(8,2,2,1,1)",14014,200,"lower bound",200,4410],[3,14,"p","(8,2,2,2)",7644,964,"lower bound",964,2201],[3,14,"p","(8,3,1,1,1)",15015,154,"lower bound",154,4698],[3,14,"p","(8,3,2,1)",23296,105,"lower bound",105,7232],[3,14,"p","(8,4,1,1)",13650,677,"lower bound",677,4200],[3,14,"p","(8,4,2)",12012,794,"lower bound",794,3667],[3,14,"p","(9,3,1,1)",7007,221,"lower bound",221,1960],[3,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,7,"exact",7,7],[3,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,42,"exact",42,42],[3,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,160,"exact",160,160],[3,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,408,"exact",408,408],[3,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,724,"exact",724,724],[3,15,"p","(2,2,2,2,2,2,1,1,1)",2002,876,"exact",876,876],[3,15,"p","(2,2,2,2,2,2,2,1)",1430,621,"exact",621,621],[3,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,42,"exact",42,42],[3,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,322,"exact",322,322],[3,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,1248,"exact",1248,1248],[3,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,3032,"exact",3032,3032],[3,15,"p","(3,2,2,2,2,1,1,1,1)",11375,3934,"lower bound",3934,4860],[3,15,"p","(3,2,2,2,2,2,1,1)",11583,3718,"lower bound",3718,4908],[3,15,"p","(3,2,2,2,2,2,2)",5005,1632,"lower bound",1632,2112],[3,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,840,"exact",840,840],[3,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,3890,"exact",3890,3890],[3,15,"p","(3,3,2,2,1,1,1,1,1)",22113,7499,"lower bound",7499,9306],[3,15,"p","(3,3,2,2,2,1,1,1)",32032,8367,"lower bound",8367,13334],[3,15,"p","(3,3,2,2,2,2,1)",25025,5933,"lower bound",5933,10350],[3,15,"p","(3,3,3,1,1,1,1,1,1)",12740,5052,"lower bound",5052,5322],[3,15,"p","(3,3,3,2,1,1,1,1)",35035,9585,"lower bound",9585,14434],[3,15,"p","(3,3,3,2,2,1,1)",45045,9670,"lower bound",9670,18390],[3,15,"p","(3,3,3,2,2,2)",21450,4460,"lower bound",4460,8718],[3,15,"p","(3,3,3,3,1,1,1)",25025,4868,"lower bound",4868,10152],[3,15,"p","(3,3,3,3,2,1)",30030,5869,"lower bound",5869,12096],[3,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,161,"exact",161,161],[3,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,1260,"exact",1260,1260],[3,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,4680,"exact",4680,4680],[3,15,"p","(4,2,2,2,1,1,1,1,1)",25025,8307,"lower bound",8307,10400],[3,15,"p","(4,2,2,2,2,1,1,1)",35100,8382,"lower bound",8382,14430],[3,15,"p","(4,2,2,2,2,2,1)",27027,5253,"lower bound",5253,11040],[3,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,3955,"exact",3955,3955],[3,15,"p","(4,3,2,1,1,1,1,1,1)",42042,14283,"lower bound",14283,17267],[3,15,"p","(4,3,2,2,1,1,1,1)",91000,19048,"lower bound",19048,36865],[3,15,"p","(4,3,2,2,2,1,1)",108108,13754,"lower bound",13754,43403],[3,15,"p","(4,3,2,2,2,2)",50050,4973,"lower bound",4973,20005],[3,15,"p","(4,3,3,1,1,1,1,1)",57330,13038,"lower bound",13038,23058],[3,15,"p","(4,3,3,2,1,1,1)",135135,14725,"lower bound",14725,53708],[3,15,"p","(4,4,1,1,1,1,1,1,1)",13650,5178,"lower bound",5178,5530],[3,15,"p","(4,4,2,1,1,1,1,1)",58968,13008,"lower bound",13008,23487],[3,15,"p","(4,4,2,2,1,1,1)",112112,9040,"lower bound",9040,44128],[3,15,"p","(4,4,3,1,1,1,1)",90090,7697,"lower bound",7697,35208],[3,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,420,"exact",420,420],[3,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,3164,"exact",3164,3164],[3,15,"p","(5,2,2,1,1,1,1,1,1)",26950,8228,"lower bound",8228,10840],[3,15,"p","(5,2,2,2,1,1,1,1)",53625,10101,"lower bound",10101,21280],[3,15,"p","(5,2,2,2,2,1,1)",61425,7506,"lower bound",7506,24160],[3,15,"p","(5,2,2,2,2,2)",28028,3025,"lower bound",3025,10976],[3,15,"p","(5,3,1,1,1,1,1,1,1)",24948,7398,"lower bound",7398,9954],[3,15,"p","(5,3,2,1,1,1,1,1)",100100,16968,"lower bound",16968,39275],[3,15,"p","(5,3,2,2,1,1,1)",184275,10078,"lower bound",10078,71460],[3,15,"p","(5,4,1,1,1,1,1,1)",42042,8558,"lower bound",8558,16282],[3,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,791,"exact",791,791],[3,15,"p","(6,2,1,1,1,1,1,1,1)",14300,4561,"lower bound",4561,5530],[3,15,"p","(6,2,2,1,1,1,1,1)",44550,7888,"lower bound",7888,16950],[3,15,"p","(6,3,1,1,1,1,1,1)",43120,7141,"lower bound",7141,16282],[3,15,"p","(7,1,1,1,1,1,1,1,1)",3003,1101,"lower bound",1101,1106],[3,15,"p","(9,1,1,1,1,1,1)",3003,833,"lower bound",833,920],[3,15,"p","(13,1,1)",91,0,"exact",0,0],[3,15,"p","(13,2)",90,0,"exact",0,0],[3,15,"p","(14,1)",14,0,"exact",0,0],[3,15,"p","(15)",1,0,"exact",0,0],[3,15,"p","(10,1,1,1,1,1)",2002,455,"lower bound",455,541],[3,15,"p","(10,2,1,1,1)",7722,128,"lower bound",128,2070],[3,15,"p","(10,2,2,1)",9450,98,"lower bound",98,2520],[3,15,"p","(10,3,1,1)",11088,81,"lower bound",81,2948],[3,15,"p","(10,3,2)",9100,163,"lower bound",163,2410],[3,15,"p","(10,4,1)",7007,349,"lower bound",349,1688],[3,15,"p","(10,5)",1638,281,"lower bound",281,339],[3,15,"p","(11,1,1,1,1)",1001,177,"lower bound",177,197],[3,15,"p","(11,2,1,1)",2925,489,"lower bound",489,534],[3,15,"p","(11,2,2)",1925,315,"lower bound",315,316],[3,15,"p","(11,3,1)",2835,451,"lower bound",451,500],[3,15,"p","(11,4)",910,139,"lower bound",139,141],[3,15,"p","(12,1,1,1)",364,28,"exact",28,28],[3,15,"p","(12,2,1)",715,56,"exact",56,56],[3,15,"p","(12,3)",350,28,"exact",28,28],[3,15,"p","(3,3,3,3,3)",6006,1513,"lower bound",1513,2400],[3,15,"p","(4,3,3,2,2,1)",128700,9238,"lower bound",9238,50792],[3,15,"p","(4,3,3,3,1,1)",80080,4879,"lower bound",4879,31408],[3,15,"p","(4,3,3,3,2)",54054,4259,"lower bound",4259,21096],[3,15,"p","(4,4,2,2,2,1)",100100,2120,"lower bound",2120,39125],[3,15,"p","(4,4,3,2,1,1)",175175,1228,"lower bound",1228,67788],[3,15,"p","(4,4,3,2,2)",96525,37170,"upper bound",0,37170],[3,15,"p","(4,4,3,3,1)",81081,1019,"lower bound",1019,31032],[3,15,"p","(4,4,4,1,1,1)",50050,376,"lower bound",376,19147],[3,15,"p","(4,4,4,2,1)",75075,28500,"upper bound",0,28500],[3,15,"p","(4,4,4,3)",24024,1356,"lower bound",1356,9042],[3,15,"p","(5,3,2,2,2,1)",162162,2865,"lower bound",2865,62451],[3,15,"p","(5,3,3,1,1,1,1)",122850,5264,"lower bound",5264,47308],[3,15,"p","(5,3,3,2,1,1)",231660,88344,"upper bound",0,88344],[3,15,"p","(5,3,3,2,2)",126126,47866,"upper bound",0,47866],[3,15,"p","(5,3,3,3,1)",100100,37760,"upper bound",0,37760],[3,15,"p","(5,4,2,1,1,1,1)",159250,7348,"lower bound",7348,60760],[3,15,"p","(5,4,2,2,1,1)",243243,91908,"upper bound",0,91908],[3,15,"p","(5,4,2,2,2)",125125,47050,"upper bound",0,47050],[3,15,"p","(5,4,3,1,1,1)",210210,78876,"upper bound",0,78876],[3,15,"p","(5,4,3,2,1)",292864,109056,"upper bound",0,109056],[3,15,"p","(5,4,3,3)",75075,27720,"upper bound",0,27720],[3,15,"p","(5,4,4,1,1)",100100,36860,"upper bound",0,36860],[3,15,"p","(5,4,4,2)",81081,29700,"upper bound",0,29700],[3,15,"p","(5,5,1,1,1,1,1)",34398,3707,"lower bound",3707,12880],[3,15,"p","(5,5,2,1,1,1)",112112,41440,"upper bound",0,41440],[3,15,"p","(5,5,2,2,1)",125125,45900,"upper bound",0,45900],[3,15,"p","(5,5,3,1,1)",126126,45948,"upper bound",0,45948],[3,15,"p","(5,5,3,2)",96525,34980,"upper bound",0,34980],[3,15,"p","(5,5,4,1)",54054,19371,"upper bound",0,19371],[3,15,"p","(5,5,5)",6006,385,"lower bound",385,2112],[3,15,"p","(6,2,2,2,1,1,1)",75075,3623,"lower bound",3623,28240],[3,15,"p","(6,2,2,2,2,1)",63700,1312,"lower bound",1312,23800],[3,15,"p","(6,3,2,1,1,1,1)",150150,1467,"lower bound",1467,55877],[3,15,"p","(6,3,2,2,1,1)",221130,81513,"upper bound",0,81513],[3,15,"p","(6,3,2,2,2)",112112,41132,"upper bound",0,41132],[3,15,"p","(6,3,3,1,1,1)",156000,57120,"upper bound",0,57120],[3,15,"p","(6,3,3,2,1)",210210,76398,"upper bound",0,76398],[3,15,"p","(6,3,3,3)",50050,18040,"upper bound",0,18040],[3,15,"p","(6,4,1,1,1,1,1)",70070,2510,"lower bound",2510,25760],[3,15,"p","(6,4,2,1,1,1)",221130,80271,"upper bound",0,80271],[3,15,"p","(6,4,2,2,1)",243243,87642,"upper bound",0,87642],[3,15,"p","(6,4,3,1,1)",231660,82908,"upper bound",0,82908],[3,15,"p","(6,4,3,2)",175175,62370,"upper bound",0,62370],[3,15,"p","(6,4,4,1)",80080,28204,"upper bound",0,28204],[3,15,"p","(6,5,1,1,1,1)",63700,22722,"upper bound",0,22722],[3,15,"p","(6,5,2,1,1)",162162,57231,"upper bound",0,57231],[3,15,"p","(6,5,2,2)",100100,35145,"upper bound",0,35145],[3,15,"p","(6,5,3,1)",128700,44880,"upper bound",0,44880],[3,15,"p","(6,5,4)",30030,1917,"lower bound",1917,10329],[3,15,"p","(6,6,1,1,1)",28028,2,"lower bound",2,9660],[3,15,"p","(6,6,2,1)",50050,17105,"upper bound",0,17105],[3,15,"p","(6,6,3)",21450,2070,"lower bound",2070,7260],[3,15,"p","(7,2,1,1,1,1,1,1)",19305,5052,"lower bound",5052,6978],[3,15,"p","(7,2,2,1,1,1,1)",51975,3595,"lower bound",3595,18528],[3,15,"p","(7,2,2,2,1,1)",70070,24752,"upper bound",0,24752],[3,15,"p","(7,2,2,2,2)",34398,12096,"upper bound",0,12096],[3,15,"p","(7,3,1,1,1,1,1)",51975,2776,"lower bound",2776,18400],[3,15,"p","(7,3,2,1,1,1)",150150,52515,"upper bound",0,52515],[3,15,"p","(7,3,2,2,1)",159250,55300,"upper bound",0,55300],[3,15,"p","(7,3,3,1,1)",122850,42390,"upper bound",0,42390],[3,15,"p","(7,3,3,2)",90090,30932,"upper bound",0,30932],[3,15,"p","(7,4,1,1,1,1)",75075,25968,"upper bound",0,25968],[3,15,"p","(7,4,2,1,1)",184275,63090,"upper bound",0,63090],[3,15,"p","(7,4,2,2)",112112,38192,"upper bound",0,38192],[3,15,"p","(7,4,3,1)",135135,45738,"upper bound",0,45738],[3,15,"p","(7,4,4)",25025,1196,"lower bound",1196,8360],[3,15,"p","(7,5,1,1,1)",61425,20700,"upper bound",0,20700],[3,15,"p","(7,5,2,1)",108108,36135,"upper bound",0,36135],[3,15,"p","(7,5,3)",45045,2731,"lower bound",2731,14916],[3,15,"p","(7,6,1,1)",27027,1481,"lower bound",1481,8844],[3,15,"p","(7,6,2)",25025,1520,"lower bound",1520,8140],[3,15,"p","(7,7,1)",5005,632,"lower bound",632,1501],[3,15,"p","(8,1,1,1,1,1,1,1)",3432,1131,"lower bound",1131,1163],[3,15,"p","(8,2,1,1,1,1,1)",19305,2630,"lower bound",2630,6440],[3,15,"p","(8,2,2,1,1,1)",43120,14224,"upper bound",0,14224],[3,15,"p","(8,2,2,2,1)",42042,13776,"upper bound",0,13776],[3,15,"p","(8,3,1,1,1,1)",44550,14607,"upper bound",0,14607],[3,15,"p","(8,3,2,1,1)",100100,32510,"upper bound",0,32510],[3,15,"p","(8,3,2,2)",58968,19062,"upper bound",0,19062],[3,15,"p","(8,3,3,1)",57330,18424,"upper bound",0,18424],[3,15,"p","(8,4,1,1,1)",53625,17250,"upper bound",0,17250],[3,15,"p","(8,4,2,1)",91000,29050,"upper bound",0,29050],[3,15,"p","(8,4,3)",35035,1141,"lower bound",1141,11088],[3,15,"p","(8,5,1,1)",35100,265,"lower bound",265,11055],[3,15,"p","(8,5,2)",32032,498,"lower bound",498,10032],[3,15,"p","(8,6,1)",11583,1400,"lower bound",1400,3486],[3,15,"p","(8,7)",1430,361,"lower bound",361,364],[3,15,"p","(9,2,1,1,1,1)",14300,608,"lower bound",608,4328],[3,15,"p","(9,2,2,1,1)",24948,489,"lower bound",489,7488],[3,15,"p","(9,2,2,2)",13650,237,"lower bound",237,4080],[3,15,"p","(9,3,1,1,1)",26950,500,"lower bound",500,8050],[3,15,"p","(9,3,2,1)",42042,12474,"upper bound",0,12474],[3,15,"p","(9,3,3)",12740,510,"lower bound",510,3752],[3,15,"p","(9,4,1,1)",25025,155,"lower bound",155,7370],[3,15,"p","(9,4,2)",22113,6480,"upper bound",0,6480],[3,15,"p","(9,5,1)",11375,762,"lower bound",762,3249],[3,15,"p","(9,6)",2002,464,"lower bound",464,478],[3,6,"s","(6)",1,0,"exact",0,0],[3,6,"s","(5,1)",5,0,"exact",0,0],[3,6,"s","(4,2)",9,0,"exact",0,0],[3,6,"s","(4,1,1)",10,0,"exact",0,0],[3,6,"s","(3,3)",5,0,"exact",0,0],[3,6,"s","(3,2,1)",16,0,"exact",0,0],[3,6,"s","(3,1,1,1)",10,0,"exact",0,0],[3,6,"s","(2,2,2)",5,0,"exact",0,0],[3,6,"s","(2,2,1,1)",9,0,"exact",0,0],[3,6,"s","(2,1,1,1,1)",5,0,"exact",0,0],[3,6,"s","(1,1,1,1,1,1)",1,1,"exact",1,1],[3,7,"s","(7)",1,0,"exact",0,0],[3,7,"s","(6,1)",6,0,"exact",0,0],[3,7,"s","(5,2)",14,0,"exact",0,0],[3,7,"s","(5,1,1)",15,0,"exact",0,0],[3,7,"s","(4,3)",14,0,"exact",0,0],[3,7,"s","(4,2,1)",35,0,"exact",0,0],[3,7,"s","(4,1,1,1)",20,0,"exact",0,0],[3,7,"s","(3,3,1)",21,0,"exact",0,0],[3,7,"s","(3,2,2)",21,0,"exact",0,0],[3,7,"s","(3,2,1,1)",35,0,"exact",0,0],[3,7,"s","(3,1,1,1,1)",15,0,"lower bound",0,1],[3,7,"s","(2,2,2,1)",14,0,"exact",0,0],[3,7,"s","(2,2,1,1,1)",14,0,"lower bound",0,1],[3,7,"s","(2,1,1,1,1,1)",6,1,"lower 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bound",46,47],[3,9,"s","(3,1,1,1,1,1,1)",28,19,"exact",19,19],[3,9,"s","(2,2,2,2,1)",42,10,"exact",10,10],[3,9,"s","(2,2,2,1,1,1)",48,22,"exact",22,22],[3,9,"s","(2,2,1,1,1,1,1)",27,18,"exact",18,18],[3,9,"s","(2,1,1,1,1,1,1,1)",8,7,"exact",7,7],[3,9,"s","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"s","(10)",1,0,"exact",0,0],[3,10,"s","(9,1)",9,0,"exact",0,0],[3,10,"s","(8,2)",35,0,"exact",0,0],[3,10,"s","(8,1,1)",36,0,"exact",0,0],[3,10,"s","(7,3)",75,0,"lower bound",0,4],[3,10,"s","(7,2,1)",160,0,"lower bound",0,8],[3,10,"s","(7,1,1,1)",84,1,"lower bound",1,4],[3,10,"s","(6,4)",90,0,"lower bound",0,8],[3,10,"s","(6,3,1)",315,1,"lower bound",1,33],[3,10,"s","(6,2,2)",225,3,"lower bound",3,28],[3,10,"s","(6,2,1,1)",350,11,"lower bound",11,53],[3,10,"s","(6,1,1,1,1)",126,13,"lower bound",13,31],[3,10,"s","(5,5)",42,0,"lower bound",0,4],[3,10,"s","(5,4,1)",288,2,"lower bound",2,41],[3,10,"s","(5,3,2)",450,6,"lower bound",6,74],[3,10,"s","(5,3,1,1)",567,22,"lower bound",22,115],[3,10,"s","(5,2,2,1)",525,31,"lower bound",31,123],[3,10,"s","(5,2,1,1,1)",448,59,"lower bound",59,146],[3,10,"s","(5,1,1,1,1,1)",126,37,"lower bound",37,67],[3,10,"s","(4,4,2)",252,3,"lower bound",3,48],[3,10,"s","(4,4,1,1)",300,12,"lower bound",12,74],[3,10,"s","(4,3,3)",210,3,"lower bound",3,49],[3,10,"s","(4,3,2,1)",768,42,"lower bound",42,211],[3,10,"s","(4,3,1,1,1)",525,71,"lower bound",71,192],[3,10,"s","(4,2,2,2)",300,28,"lower bound",28,96],[3,10,"s","(4,2,2,1,1)",567,91,"lower bound",91,220],[3,10,"s","(4,2,1,1,1,1)",350,108,"lower bound",108,190],[3,10,"s","(4,1,1,1,1,1,1)",84,44,"lower bound",44,61],[3,10,"s","(3,3,3,1)",210,12,"lower bound",12,70],[3,10,"s","(3,3,2,2)",252,21,"lower bound",21,92],[3,10,"s","(3,3,2,1,1)",450,70,"lower bound",70,185],[3,10,"s","(3,3,1,1,1,1)",225,69,"lower bound",69,130],[3,10,"s","(3,2,2,2,1)",288,56,"lower bound",56,128],[3,10,"s","(3,2,2,1,1,1)",315,104,"lower bound",104,180],[3,10,"s","(3,2,1,1,1,1,1)",160,83,"lower bound",83,117],[3,10,"s","(3,1,1,1,1,1,1,1)",36,26,"lower bound",26,31],[3,10,"s","(2,2,2,2,2)",42,10,"lower bound",10,18],[3,10,"s","(2,2,2,2,1,1)",90,32,"lower bound",32,53],[3,10,"s","(2,2,2,1,1,1,1)",75,40,"lower bound",40,54],[3,10,"s","(2,2,1,1,1,1,1,1)",35,25,"lower bound",25,30],[3,10,"s","(2,1,1,1,1,1,1,1,1)",9,8,"lower bound",8,9],[3,10,"s","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,11,"s","(11)",1,0,"exact",0,0],[3,11,"s","(10,1)",10,0,"exact",0,0],[3,11,"s","(9,2)",44,0,"exact",0,0],[3,11,"s","(9,1,1)",45,0,"exact",0,0],[3,11,"s","(8,3)",110,0,"lower bound",0,10],[3,11,"s","(8,2,1)",231,0,"lower bound",0,20],[3,11,"s","(8,1,1,1)",120,1,"lower bound",1,10],[3,11,"s","(7,4)",165,0,"lower bound",0,28],[3,11,"s","(7,3,1)",550,1,"lower bound",1,104],[3,11,"s","(7,2,2)",385,3,"lower bound",3,82],[3,11,"s","(7,2,1,1)",594,12,"lower bound",12,142],[3,11,"s","(7,1,1,1,1)",210,14,"lower bound",14,69],[3,11,"s","(6,5)",132,0,"lower bound",0,28],[3,11,"s","(6,4,1)",693,3,"lower bound",3,183],[3,11,"s","(6,3,2)",990,10,"lower bound",10,290],[3,11,"s","(6,3,1,1)",1232,34,"lower bound",34,413],[3,11,"s","(6,2,2,1)",1100,45,"lower bound",45,402],[3,11,"s","(6,2,1,1,1)",924,83,"lower bound",83,415],[3,11,"s","(6,1,1,1,1,1)",252,50,"lower bound",50,155],[3,11,"s","(5,5,1)",330,2,"lower bound",2,99],[3,11,"s","(5,4,2)",990,11,"lower bound",11,347],[3,11,"s","(5,4,1,1)",1155,36,"lower bound",36,459],[3,11,"s","(5,3,3)",660,9,"lower bound",9,251],[3,11,"s","(5,3,2,1)",2310,101,"lower bound",101,1006],[3,11,"s","(5,3,1,1,1)",1540,152,"lower bound",152,795],[3,11,"s","(5,2,2,2)",825,59,"lower bound",59,399],[3,11,"s","(5,2,2,1,1)",1540,181,"lower bound",181,829],[3,11,"s","(5,2,1,1,1,1)",924,204,"lower bound",204,611],[3,11,"s","(5,1,1,1,1,1,1)",210,81,"lower bound",81,168],[3,11,"s","(4,4,3)",462,6,"lower bound",6,191],[3,11,"s","(4,4,2,1)",1320,57,"lower bound",57,626],[3,11,"s","(4,4,1,1,1)",825,83,"lower bound",83,456],[3,11,"s","(4,3,3,1)",1188,57,"lower bound",57,597],[3,11,"s","(4,3,2,2)",1320,91,"lower bound",91,704],[3,11,"s","(4,3,2,1,1)",2310,274,"lower bound",274,1347],[3,11,"s","(4,3,1,1,1,1)",1100,248,"lower bound",248,764],[3,11,"s","(4,2,2,2,1)",1155,175,"lower bound",175,710],[3,11,"s","(4,2,2,1,1,1)",1232,303,"lower bound",303,865],[3,11,"s","(4,2,1,1,1,1,1)",594,235,"lower bound",235,483],[3,11,"s","(4,1,1,1,1,1,1,1)",120,70,"lower bound",70,108],[3,11,"s","(3,3,3,2)",462,33,"lower bound",33,270],[3,11,"s","(3,3,3,1,1)",660,82,"lower bound",82,407],[3,11,"s","(3,3,2,2,1)",990,147,"lower bound",147,636],[3,11,"s","(3,3,2,1,1,1)",990,243,"lower bound",243,715],[3,11,"s","(3,3,1,1,1,1,1)",385,152,"lower bound",152,320],[3,11,"s","(3,2,2,2,2)",330,66,"lower bound",66,222],[3,11,"s","(3,2,2,2,1,1)",693,192,"lower bound",192,509],[3,11,"s","(3,2,2,1,1,1,1)",550,227,"lower bound",227,453],[3,11,"s","(3,2,1,1,1,1,1,1)",231,134,"lower bound",134,209],[3,11,"s","(3,1,1,1,1,1,1,1,1)",45,34,"lower bound",34,44],[3,11,"s","(2,2,2,2,2,1)",132,42,"lower bound",42,98],[3,11,"s","(2,2,2,2,1,1,1)",165,72,"lower bound",72,136],[3,11,"s","(2,2,2,1,1,1,1,1)",110,65,"lower bound",65,98],[3,11,"s","(2,2,1,1,1,1,1,1,1)",44,33,"lower bound",33,43],[3,11,"s","(2,1,1,1,1,1,1,1,1,1)",10,9,"lower bound",9,10],[3,11,"s","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"s","(12)",1,0,"lower bound",0,1],[3,12,"s","(11,1)",11,0,"lower bound",0,11],[3,12,"s","(10,2)",54,0,"lower bound",0,54],[3,12,"s","(10,1,1)",55,0,"lower bound",0,55],[3,12,"s","(9,3)",154,0,"lower bound",0,154],[3,12,"s","(9,2,1)",320,0,"lower bound",0,320],[3,12,"s","(9,1,1,1)",165,1,"lower bound",1,165],[3,12,"s","(8,4)",275,0,"lower bound",0,275],[3,12,"s","(8,3,1)",891,1,"lower bound",1,891],[3,12,"s","(8,2,2)",616,3,"lower bound",3,616],[3,12,"s","(8,2,1,1)",945,13,"lower bound",13,945],[3,12,"s","(8,1,1,1,1)",330,15,"lower bound",15,330],[3,12,"s","(7,5)",297,0,"lower bound",0,297],[3,12,"s","(7,4,1)",1408,4,"lower bound",4,1408],[3,12,"s","(7,3,2)",1925,14,"lower bound",14,1925],[3,12,"s","(7,3,1,1)",2376,47,"lower bound",47,2376],[3,12,"s","(7,2,2,1)",2079,60,"lower bound",60,2079],[3,12,"s","(7,2,1,1,1)",1728,109,"lower bound",109,1728],[3,12,"s","(7,1,1,1,1,1)",462,64,"lower bound",64,462],[3,12,"s","(6,6)",132,0,"lower bound",0,132],[3,12,"s","(6,5,1)",1155,5,"lower bound",5,1155],[3,12,"s","(6,4,2)",2673,24,"lower bound",24,2673],[3,12,"s","(6,4,1,1)",3080,73,"lower bound",73,3080],[3,12,"s","(6,3,3)",1650,19,"lower bound",19,1650],[3,12,"s","(6,3,2,1)",5632,190,"lower bound",190,5632],[3,12,"s","(6,3,1,1,1)",3696,269,"lower bound",269,3696],[3,12,"s","(6,2,2,2)",1925,104,"lower bound",104,1925],[3,12,"s","(6,2,2,1,1)",3564,309,"lower bound",309,3564],[3,12,"s","(6,2,1,1,1,1)",2100,337,"lower bound",337,2100],[3,12,"s","(6,1,1,1,1,1,1)",462,131,"lower bound",131,462],[3,12,"s","(5,5,2)",1320,13,"lower bound",13,1320],[3,12,"s","(5,5,1,1)",1485,38,"lower bound",38,1485],[3,12,"s","(5,4,3)",2112,26,"lower bound",26,2112],[3,12,"s","(5,4,2,1)",5775,205,"lower bound",205,5775],[3,12,"s","(5,4,1,1,1)",3520,271,"lower bound",271,3520],[3,12,"s","(5,3,3,1)",4158,167,"lower bound",167,4158],[3,12,"s","(5,3,2,2)",4455,251,"lower bound",251,4455],[3,12,"s","(5,3,2,1,1)",7700,708,"lower bound",708,7700],[3,12,"s","(5,3,1,1,1,1)",3564,604,"lower bound",604,3564],[3,12,"s","(5,2,2,2,1)",3520,415,"lower bound",415,3520],[3,12,"s","(5,2,2,1,1,1)",3696,688,"lower bound",688,3696],[3,12,"s","(5,2,1,1,1,1,1)",1728,520,"lower bound",520,1728],[3,12,"s","(5,1,1,1,1,1,1,1)",330,151,"lower bound",151,330],[3,12,"s","(4,4,4)",462,6,"lower bound",6,462],[3,12,"s","(4,4,3,1)",2970,120,"lower bound",120,2970],[3,12,"s","(4,4,2,2)",2640,148,"lower bound",148,2640],[3,12,"s","(4,4,2,1,1)",4455,414,"lower bound",414,4455],[3,12,"s","(4,4,1,1,1,1)",1925,331,"lower bound",331,1925],[3,12,"s","(4,3,3,2)",2970,181,"lower bound",181,2970],[3,12,"s","(4,3,3,1,1)",4158,413,"lower bound",413,4158],[3,12,"s","(4,3,2,2,1)",5775,687,"lower bound",687,5775],[3,12,"s","(4,3,2,1,1,1)",5632,1068,"lower bound",1068,5632],[3,12,"s","(4,3,1,1,1,1,1)",2079,635,"lower bound",635,2079],[3,12,"s","(4,2,2,2,2)",1485,241,"lower bound",241,1485],[3,12,"s","(4,2,2,2,1,1)",3080,670,"lower bound",670,3080],[3,12,"s","(4,2,2,1,1,1,1)",2376,765,"lower bound",765,2376],[3,12,"s","(4,2,1,1,1,1,1,1)",945,439,"lower bound",439,945],[3,12,"s","(4,1,1,1,1,1,1,1,1)",165,104,"lower bound",104,165],[3,12,"s","(3,3,3,3)",462,33,"lower bound",33,462],[3,12,"s","(3,3,3,2,1)",2112,262,"lower bound",262,2112],[3,12,"s","(3,3,3,1,1,1)",1650,325,"lower bound",325,1650],[3,12,"s","(3,3,2,2,2)",1320,213,"lower bound",213,1320],[3,12,"s","(3,3,2,2,1,1)",2673,582,"lower bound",582,2673],[3,12,"s","(3,3,2,1,1,1,1)",1925,622,"lower bound",622,1925],[3,12,"s","(3,3,1,1,1,1,1,1)",616,286,"lower bound",286,616],[3,12,"s","(3,2,2,2,2,1)",1155,300,"lower bound",300,1155],[3,12,"s","(3,2,2,2,1,1,1)",1408,491,"lower bound",491,1408],[3,12,"s","(3,2,2,1,1,1,1,1)",891,426,"lower bound",426,891],[3,12,"s","(3,2,1,1,1,1,1,1,1)",320,201,"lower bound",201,320],[3,12,"s","(3,1,1,1,1,1,1,1,1,1)",55,43,"lower bound",43,55],[3,12,"s","(2,2,2,2,2,2)",132,42,"lower bound",42,132],[3,12,"s","(2,2,2,2,2,1,1)",297,114,"lower bound",114,297],[3,12,"s","(2,2,2,2,1,1,1,1)",275,137,"lower bound",137,275],[3,12,"s","(2,2,2,1,1,1,1,1,1)",154,98,"lower bound",98,154],[3,12,"s","(2,2,1,1,1,1,1,1,1,1)",54,42,"lower bound",42,54],[3,12,"s","(2,1,1,1,1,1,1,1,1,1,1)",11,10,"lower bound",10,11],[3,12,"s","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"s","(13)",1,0,"lower bound",0,1],[3,13,"s","(12,1)",12,0,"lower bound",0,12],[3,13,"s","(11,2)",65,0,"lower bound",0,65],[3,13,"s","(11,1,1)",66,0,"lower bound",0,66],[3,13,"s","(10,3)",208,0,"lower bound",0,208],[3,13,"s","(10,2,1)",429,0,"lower bound",0,429],[3,13,"s","(10,1,1,1)",220,1,"lower bound",1,220],[3,13,"s","(9,4)",429,0,"lower bound",0,429],[3,13,"s","(9,3,1)",1365,1,"lower bound",1,1365],[3,13,"s","(9,2,2)",936,3,"lower bound",3,936],[3,13,"s","(9,2,1,1)",1430,14,"lower bound",14,1430],[3,13,"s","(9,1,1,1,1)",495,16,"lower bound",16,495],[3,13,"s","(8,5)",572,0,"lower bound",0,572],[3,13,"s","(8,4,1)",2574,5,"lower bound",5,2574],[3,13,"s","(8,3,2)",3432,18,"lower bound",18,3432],[3,13,"s","(8,3,1,1)",4212,61,"lower bound",61,4212],[3,13,"s","(8,2,2,1)",3640,76,"lower bound",76,3640],[3,13,"s","(8,2,1,1,1)",3003,137,"lower bound",137,3003],[3,13,"s","(8,1,1,1,1,1)",792,79,"lower bound",79,792],[3,13,"s","(7,6)",429,0,"lower bound",0,429],[3,13,"s","(7,5,1)",2860,9,"lower bound",9,2860],[3,13,"s","(7,4,2)",6006,42,"lower bound",42,6006],[3,13,"s","(7,4,1,1)",6864,124,"lower bound",124,6864],[3,13,"s","(7,3,3)",3575,33,"lower bound",33,3575],[3,13,"s","(7,3,2,1)",12012,311,"lower bound",311,12012],[3,13,"s","(7,3,1,1,1)",7800,425,"lower bound",425,7800],[3,13,"s","(7,2,2,2)",4004,164,"lower bound",164,4004],[3,13,"s","(7,2,2,1,1)",7371,478,"lower bound",478,7371],[3,13,"s","(7,2,1,1,1,1)",4290,510,"lower bound",510,4290],[3,13,"s","(7,1,1,1,1,1,1)",924,195,"lower bound",195,924],[3,13,"s","(6,6,1)",1287,5,"lower bound",5,1287],[3,13,"s","(6,5,2)",5148,42,"lower bound",42,5148],[3,13,"s","(6,5,1,1)",5720,116,"lower bound",116,5720],[3,13,"s","(6,4,3)",6435,69,"lower bound",69,6435],[3,13,"s","(6,4,2,1)",17160,492,"lower bound",492,17160],[3,13,"s","(6,4,1,1,1)",10296,613,"lower bound",613,10296],[3,13,"s","(6,3,3,1)",11440,376,"lower bound",376,11440],[3,13,"s","(6,3,2,2)",12012,545,"lower bound",545,12012],[3,13,"s","(6,3,2,1,1)",20592,1476,"lower bound",1476,20592],[3,13,"s","(6,3,1,1,1,1)",9360,1210,"lower bound",1210,9360],[3,13,"s","(6,2,2,2,1)",9009,828,"lower bound",828,9009],[3,13,"s","(6,2,2,1,1,1)",9360,1334,"lower bound",1334,9360],[3,13,"s","(6,2,1,1,1,1,1)",4290,988,"lower bound",988,4290],[3,13,"s","(6,1,1,1,1,1,1,1)",792,282,"lower bound",282,792],[3,13,"s","(5,5,3)",3432,39,"lower bound",39,3432],[3,13,"s","(5,5,2,1)",8580,256,"lower bound",256,8580],[3,13,"s","(5,5,1,1,1)",5005,309,"lower bound",309,5005],[3,13,"s","(5,4,4)",2574,32,"lower bound",32,2574],[3,13,"s","(5,4,3,1)",15015,518,"lower bound",518,15015],[3,13,"s","(5,4,2,2)",12870,604,"lower bound",604,12870],[3,13,"s","(5,4,2,1,1)",21450,1598,"lower bound",1598,21450],[3,13,"s","(5,4,1,1,1,1)",9009,1206,"lower bound",1206,9009],[3,13,"s","(5,3,3,2)",11583,599,"lower bound",599,11583],[3,13,"s","(5,3,3,1,1)",16016,1288,"lower bound",1288,16016],[3,13,"s","(5,3,2,2,1)",21450,2061,"lower bound",2061,21450],[3,13,"s","(5,3,2,1,1,1)",20592,3068,"lower bound",3068,20592],[3,13,"s","(5,3,1,1,1,1,1)",7371,1759,"lower bound",1759,7371],[3,13,"s","(5,2,2,2,2)",5005,656,"lower bound",656,5005],[3,13,"s","(5,2,2,2,1,1)",10296,1773,"lower bound",1773,10296],[3,13,"s","(5,2,2,1,1,1,1)",7800,1973,"lower bound",1973,7800],[3,13,"s","(5,2,1,1,1,1,1,1)",3003,1110,"lower bound",1110,3003],[3,13,"s","(5,1,1,1,1,1,1,1,1)",495,255,"lower bound",255,495],[3,13,"s","(4,4,4,1)",3432,126,"lower bound",126,3432],[3,13,"s","(4,4,3,2)",8580,449,"lower bound",449,8580],[3,13,"s","(4,4,3,1,1)",11583,947,"lower bound",947,11583],[3,13,"s","(4,4,2,2,1)",12870,1249,"lower bound",1249,12870],[3,13,"s","(4,4,2,1,1,1)",12012,1813,"lower bound",1813,12012],[3,13,"s","(4,4,1,1,1,1,1)",4004,966,"lower bound",966,4004],[3,13,"s","(4,3,3,3)",3432,214,"lower bound",214,3432],[3,13,"s","(4,3,3,2,1)",15015,1543,"lower bound",1543,15015],[3,13,"s","(4,3,3,1,1,1)",11440,1806,"lower bound",1806,11440],[3,13,"s","(4,3,2,2,2)",8580,1141,"lower bound",1141,8580],[3,13,"s","(4,3,2,2,1,1)",17160,3007,"lower bound",3007,17160],[3,13,"s","(4,3,2,1,1,1,1)",12012,3090,"lower bound",3090,12012],[3,13,"s","(4,3,1,1,1,1,1,1)",3640,1360,"lower bound",1360,3640],[3,13,"s","(4,2,2,2,2,1)",5720,1211,"lower bound",1211,5720],[3,13,"s","(4,2,2,2,1,1,1)",6864,1926,"lower bound",1926,6864],[3,13,"s","(4,2,2,1,1,1,1,1)",4212,1630,"lower bound",1630,4212],[3,13,"s","(4,2,1,1,1,1,1,1,1)",1430,744,"lower bound",744,1430],[3,13,"s","(4,1,1,1,1,1,1,1,1,1)",220,147,"lower bound",147,220],[3,13,"s","(3,3,3,3,1)",2574,295,"lower bound",295,2574],[3,13,"s","(3,3,3,2,2)",3432,475,"lower bound",475,3432],[3,13,"s","(3,3,3,2,1,1)",6435,1169,"lower bound",1169,6435],[3,13,"s","(3,3,3,1,1,1,1)",3575,947,"lower bound",947,3575],[3,13,"s","(3,3,2,2,2,1)",5148,1095,"lower bound",1095,5148],[3,13,"s","(3,3,2,2,1,1,1)",6006,1695,"lower bound",1695,6006],[3,13,"s","(3,3,2,1,1,1,1,1)",3432,1334,"lower bound",1334,3432],[3,13,"s","(3,3,1,1,1,1,1,1,1)",936,487,"lower bound",487,936],[3,13,"s","(3,2,2,2,2,2)",1287,342,"lower bound",342,1287],[3,13,"s","(3,2,2,2,2,1,1)",2860,905,"lower bound",905,2860],[3,13,"s","(3,2,2,2,1,1,1,1)",2574,1054,"lower bound",1054,2574],[3,13,"s","(3,2,2,1,1,1,1,1,1)",1365,725,"lower bound",725,1365],[3,13,"s","(3,2,1,1,1,1,1,1,1,1)",429,286,"lower bound",286,429],[3,13,"s","(3,1,1,1,1,1,1,1,1,1,1)",66,53,"lower bound",53,66],[3,13,"s","(2,2,2,2,2,2,1)",429,156,"lower bound",156,429],[3,13,"s","(2,2,2,2,2,1,1,1)",572,251,"lower bound",251,572],[3,13,"s","(2,2,2,2,1,1,1,1,1)",429,235,"lower bound",235,429],[3,13,"s","(2,2,2,1,1,1,1,1,1,1)",208,140,"lower bound",140,208],[3,13,"s","(2,2,1,1,1,1,1,1,1,1,1)",65,52,"lower bound",52,65],[3,13,"s","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"lower bound",11,12],[3,13,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"s","(14)",1,0,"lower bound",0,1],[3,14,"s","(13,1)",13,0,"lower bound",0,13],[3,14,"s","(12,2)",77,0,"lower bound",0,77],[3,14,"s","(12,1,1)",78,0,"lower bound",0,78],[3,14,"s","(11,3)",273,0,"lower bound",0,273],[3,14,"s","(11,2,1)",560,0,"lower bound",0,560],[3,14,"s","(11,1,1,1)",286,1,"lower bound",1,286],[3,14,"s","(10,4)",637,0,"lower bound",0,637],[3,14,"s","(10,3,1)",2002,1,"lower bound",1,2002],[3,14,"s","(10,2,2)",1365,3,"lower bound",3,1365],[3,14,"s","(10,2,1,1)",2079,15,"lower bound",15,2079],[3,14,"s","(10,1,1,1,1)",715,17,"lower bound",17,715],[3,14,"s","(9,5)",1001,0,"lower bound",0,1001],[3,14,"s","(9,4,1)",4368,6,"lower bound",6,4368],[3,14,"s","(9,3,2)",5733,22,"lower bound",22,5733],[3,14,"s","(9,3,1,1)",7007,76,"lower bound",76,7007],[3,14,"s","(9,2,2,1)",6006,93,"lower bound",93,6006],[3,14,"s","(9,2,1,1,1)",4928,167,"lower bound",167,4928],[3,14,"s","(9,1,1,1,1,1)",1287,95,"lower bound",95,1287],[3,14,"s","(8,6)",1001,0,"lower bound",0,1001],[3,14,"s","(8,5,1)",6006,14,"lower bound",14,6006],[3,14,"s","(8,4,2)",12012,65,"lower bound",65,12012],[3,14,"s","(8,4,1,1)",13650,190,"lower bound",190,13650],[3,14,"s","(8,3,3)",7007,51,"lower bound",51,7007],[3,14,"s","(8,3,2,1)",23296,466,"lower bound",466,23296],[3,14,"s","(8,3,1,1,1)",15015,623,"lower bound",623,15015],[3,14,"s","(8,2,2,2)",7644,240,"lower bound",240,7644],[3,14,"s","(8,2,2,1,1)",14014,691,"lower bound",691,14014],[3,14,"s","(8,2,1,1,1,1)",8085,726,"lower bound",726,8085],[3,14,"s","(8,1,1,1,1,1,1)",1716,274,"lower bound",274,1716],[3,14,"s","(7,7)",429,0,"lower bound",0,429],[3,14,"s","(7,6,1)",4576,14,"lower bound",14,4576],[3,14,"s","(7,5,2)",14014,93,"lower bound",93,14014],[3,14,"s","(7,5,1,1)",15444,249,"lower bound",249,15444],[3,14,"s","(7,4,3)",16016,144,"lower bound",144,16016],[3,14,"s","(7,4,2,1)",42042,969,"lower bound",969,42042],[3,14,"s","(7,4,1,1,1)",24960,1162,"lower bound",1162,24960],[3,14,"s","(7,3,3,1)",27027,720,"lower bound",720,27027],[3,14,"s","(7,3,2,2)",28028,1020,"lower bound",1020,28028],[3,14,"s","(7,3,2,1,1)",47775,2690,"lower bound",2690,47775],[3,14,"s","(7,3,1,1,1,1)",21450,2145,"lower bound",2145,21450],[3,14,"s","(7,2,2,2,1)",20384,1470,"lower bound",1470,20384],[3,14,"s","(7,2,2,1,1,1)",21021,2322,"lower bound",2322,21021],[3,14,"s","(7,2,1,1,1,1,1)",9504,1693,"lower bound",1693,9504],[3,14,"s","(7,1,1,1,1,1,1,1)",1716,477,"lower bound",477,1716],[3,14,"s","(6,6,2)",6435,47,"lower bound",47,6435],[3,14,"s","(6,6,1,1)",7007,121,"lower bound",121,7007],[3,14,"s","(6,5,3)",15015,150,"lower bound",150,15015],[3,14,"s","(6,5,2,1)",36608,906,"lower bound",906,36608],[3,14,"s","(6,5,1,1,1)",21021,1038,"lower bound",1038,21021],[3,14,"s","(6,4,4)",9009,101,"lower bound",101,9009],[3,14,"s","(6,4,3,1)",50050,1455,"lower bound",1455,50050],[3,14,"s","(6,4,2,2)",42042,1641,"lower bound",1641,42042],[3,14,"s","(6,4,2,1,1)",69498,4179,"lower bound",4179,69498],[3,14,"s","(6,4,1,1,1,1)",28665,3029,"lower bound",3029,28665],[3,14,"s","(6,3,3,2)",35035,1520,"lower bound",1520,35035],[3,14,"s","(6,3,3,1,1)",48048,3140,"lower bound",3140,48048],[3,14,"s","(6,3,2,2,1)",63063,4910,"lower bound",4910,63063],[3,14,"s","(6,3,2,1,1,1)",59904,7088,"lower bound",7088,59904],[3,14,"s","(6,3,1,1,1,1,1)",21021,3957,"lower bound",3957,21021],[3,14,"s","(6,2,2,2,2)",14014,1484,"lower bound",1484,14014],[3,14,"s","(6,2,2,2,1,1)",28665,3935,"lower bound",3935,28665],[3,14,"s","(6,2,2,1,1,1,1)",21450,4295,"lower bound",4295,21450],[3,14,"s","(6,2,1,1,1,1,1,1)",8085,2380,"lower bound",2380,8085],[3,14,"s","(6,1,1,1,1,1,1,1,1)",1287,537,"lower bound",537,1287],[3,14,"s","(5,5,4)",6006,71,"lower bound",71,6006],[3,14,"s","(5,5,3,1)",27027,813,"lower bound",813,27027],[3,14,"s","(5,5,2,2)",21450,860,"lower bound",860,21450],[3,14,"s","(5,5,2,1,1)",35035,2163,"lower bound",2163,35035],[3,14,"s","(5,5,1,1,1,1)",14014,1515,"lower bound",1515,14014],[3,14,"s","(5,4,4,1)",21021,676,"lower bound",676,21021],[3,14,"s","(5,4,3,2)",48048,2170,"lower bound",2170,48048],[3,14,"s","(5,4,3,1,1)",64064,4351,"lower bound",4351,64064],[3,14,"s","(5,4,2,2,1)",68640,5512,"lower bound",5512,68640],[3,14,"s","(5,4,2,1,1,1)",63063,7685,"lower bound",7685,63063],[3,14,"s","(5,4,1,1,1,1,1)",20384,3931,"lower bound",3931,20384],[3,14,"s","(5,3,3,3)",15015,813,"lower bound",813,15015],[3,14,"s","(5,3,3,2,1)",64064,5491,"lower bound",5491,64064],[3,14,"s","(5,3,3,1,1,1)",48048,6162,"lower bound",6162,48048],[3,14,"s","(5,3,2,2,2)",35035,3858,"lower bound",3858,35035],[3,14,"s","(5,3,2,2,1,1)",69498,9909,"lower bound",9909,69498],[3,14,"s","(5,3,2,1,1,1,1)",47775,9890,"lower bound",9890,47775],[3,14,"s","(5,3,1,1,1,1,1,1)",14014,4229,"lower bound",4229,14014],[3,14,"s","(5,2,2,2,2,1)",21021,3640,"lower bound",3640,21021],[3,14,"s","(5,2,2,2,1,1,1)",24960,5672,"lower bound",5672,24960],[3,14,"s","(5,2,2,1,1,1,1,1)",15015,4713,"lower bound",4713,15015],[3,14,"s","(5,2,1,1,1,1,1,1,1)",4928,2109,"lower bound",2109,4928],[3,14,"s","(5,1,1,1,1,1,1,1,1,1)",715,402,"lower bound",402,715],[3,14,"s","(4,4,4,2)",12012,575,"lower bound",575,12012],[3,14,"s","(4,4,4,1,1)",15015,1073,"lower bound",1073,15015],[3,14,"s","(4,4,3,3)",12012,663,"lower bound",663,12012],[3,14,"s","(4,4,3,2,1)",48048,4188,"lower bound",4188,48048],[3,14,"s","(4,4,3,1,1,1)",35035,4566,"lower bound",4566,35035],[3,14,"s","(4,4,2,2,2)",21450,2390,"lower bound",2390,21450],[3,14,"s","(4,4,2,2,1,1)",42042,6069,"lower bound",6069,42042],[3,14,"s","(4,4,2,1,1,1,1)",28028,5869,"lower bound",5869,28028],[3,14,"s","(4,4,1,1,1,1,1,1)",7644,2326,"lower bound",2326,7644],[3,14,"s","(4,3,3,3,1)",21021,2052,"lower bound",2052,21021],[3,14,"s","(4,3,3,2,2)",27027,3159,"lower bound",3159,27027],[3,14,"s","(4,3,3,2,1,1)",50050,7525,"lower bound",7525,50050],[3,14,"s","(4,3,3,1,1,1,1)",27027,5843,"lower bound",5843,27027],[3,14,"s","(4,3,2,2,2,1)",36608,6454,"lower bound",6454,36608],[3,14,"s","(4,3,2,2,1,1,1)",42042,9718,"lower bound",9718,42042],[3,14,"s","(4,3,2,1,1,1,1,1)",23296,7414,"lower bound",7414,23296],[3,14,"s","(4,3,1,1,1,1,1,1,1)",6006,2591,"lower bound",2591,6006],[3,14,"s","(4,2,2,2,2,2)",7007,1553,"lower bound",1553,7007],[3,14,"s","(4,2,2,2,2,1,1)",15444,4042,"lower bound",4042,15444],[3,14,"s","(4,2,2,2,1,1,1,1)",13650,4610,"lower bound",4610,13650],[3,14,"s","(4,2,2,1,1,1,1,1,1)",7007,3099,"lower bound",3099,7007],[3,14,"s","(4,2,1,1,1,1,1,1,1,1)",2079,1177,"lower bound",1177,2079],[3,14,"s","(4,1,1,1,1,1,1,1,1,1,1)",286,200,"lower bound",200,286],[3,14,"s","(3,3,3,3,2)",6006,770,"lower bound",770,6006],[3,14,"s","(3,3,3,3,1,1)",9009,1464,"lower bound",1464,9009],[3,14,"s","(3,3,3,2,2,1)",15015,2739,"lower bound",2739,15015],[3,14,"s","(3,3,3,2,1,1,1)",16016,3811,"lower bound",3811,16016],[3,14,"s","(3,3,3,1,1,1,1,1)",7007,2281,"lower bound",2281,7007],[3,14,"s","(3,3,2,2,2,2)",6435,1437,"lower bound",1437,6435],[3,14,"s","(3,3,2,2,2,1,1)",14014,3695,"lower bound",3695,14014],[3,14,"s","(3,3,2,2,1,1,1,1)",12012,4083,"lower bound",4083,12012],[3,14,"s","(3,3,2,1,1,1,1,1,1)",5733,2546,"lower bound",2546,5733],[3,14,"s","(3,3,1,1,1,1,1,1,1,1)",1365,773,"lower bound",773,1365],[3,14,"s","(3,2,2,2,2,2,1)",4576,1403,"lower bound",1403,4576],[3,14,"s","(3,2,2,2,2,1,1,1)",6006,2210,"lower bound",2210,6006],[3,14,"s","(3,2,2,2,1,1,1,1,1)",4368,2014,"lower bound",2014,4368],[3,14,"s","(3,2,2,1,1,1,1,1,1,1)",2002,1151,"lower bound",1151,2002],[3,14,"s","(3,2,1,1,1,1,1,1,1,1,1)",560,391,"lower bound",391,560],[3,14,"s","(3,1,1,1,1,1,1,1,1,1,1,1)",78,64,"lower bound",64,78],[3,14,"s","(2,2,2,2,2,2,2)",429,156,"lower bound",156,429],[3,14,"s","(2,2,2,2,2,2,1,1)",1001,407,"lower bound",407,1001],[3,14,"s","(2,2,2,2,2,1,1,1,1)",1001,486,"lower bound",486,1001],[3,14,"s","(2,2,2,2,1,1,1,1,1,1)",637,375,"lower bound",375,637],[3,14,"s","(2,2,2,1,1,1,1,1,1,1,1)",273,192,"lower bound",192,273],[3,14,"s","(2,2,1,1,1,1,1,1,1,1,1,1)",77,63,"lower bound",63,77],[3,14,"s","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,12,"lower bound",12,13],[3,14,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,1,"t","(1)",1,0,"exact",0,0],[3,2,"t","(2)",1,0,"exact",0,0],[3,2,"t","(1,1)",1,0,"exact",0,0],[3,3,"t","(3)",1,0,"exact",0,0],[3,3,"t","(2,1)",2,0,"exact",0,0],[3,3,"t","(1,1,1)",1,0,"exact",0,0],[3,4,"t","(1,1,1,1)",1,0,"exact",0,0],[3,4,"t","(2,1,1)",3,0,"exact",0,0],[3,4,"t","(2,2)",2,0,"exact",0,0],[3,4,"t","(3,1)",3,0,"exact",0,0],[3,4,"t","(4)",1,0,"unchecked",0,0],[3,5,"t","(1,1,1,1,1)",1,0,"exact",0,0],[3,5,"t","(2,1,1,1)",4,0,"exact",0,0],[3,5,"t","(2,2,1)",5,0,"exact",0,0],[3,5,"t","(3,1,1)",6,0,"exact",0,0],[3,5,"t","(3,2)",5,0,"exact",0,0],[3,5,"t","(4,1)",4,0,"exact",0,0],[3,5,"t","(5)",1,0,"unchecked",0,0],[3,6,"t","(1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,6,"t","(2,1,1,1,1)",5,0,"exact",0,0],[3,6,"t","(2,2,1,1)",9,0,"exact",0,0],[3,6,"t","(2,2,2)",5,1,"upper bound",0,1],[3,6,"t","(3,1,1,1)",10,1,"upper bound",0,1],[3,6,"t","(3,2,1)",16,0,"exact",0,0],[3,6,"t","(3,3)",5,0,"exact",0,0],[3,6,"t","(4,1,1)",10,1,"upper bound",0,1],[3,6,"t","(4,2)",9,1,"upper bound",0,1],[3,6,"t","(5,1)",5,0,"exact",0,0],[3,6,"t","(6)",1,0,"unchecked",0,0],[3,7,"t","(1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,7,"t","(2,1,1,1,1,1)",6,3,"exact",3,3],[3,7,"t","(2,2,1,1,1)",14,1,"lower bound",1,4],[3,7,"t","(2,2,2,1)",14,4,"upper bound",0,4],[3,7,"t","(3,1,1,1,1)",15,1,"lower bound",1,4],[3,7,"t","(3,2,1,1)",35,9,"upper bound",0,9],[3,7,"t","(3,2,2)",21,5,"upper bound",0,5],[3,7,"t","(3,3,1)",21,5,"upper bound",0,5],[3,7,"t","(4,1,1,1)",20,6,"upper bound",0,6],[3,7,"t","(4,2,1)",35,7,"upper bound",0,7],[3,7,"t","(4,3)",14,3,"upper bound",0,3],[3,7,"t","(5,1,1)",15,3,"upper bound",0,3],[3,7,"t","(5,2)",14,3,"upper bound",0,3],[3,7,"t","(6,1)",6,0,"exact",0,0],[3,7,"t","(7)",1,0,"unchecked",0,0],[3,8,"t","(1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,8,"t","(2,1,1,1,1,1,1)",7,5,"exact",5,5],[3,8,"t","(2,2,1,1,1,1)",20,8,"lower bound",8,12],[3,8,"t","(2,2,2,1,1)",28,4,"lower bound",4,16],[3,8,"t","(2,2,2,2)",14,6,"upper bound",0,6],[3,8,"t","(8)",1,0,"exact",0,0],[3,8,"t","(4,2,1,1)",90,2,"lower bound",2,43],[3,8,"t","(4,1,1,1,1)",35,4,"lower bound",4,18],[3,8,"t","(3,2,2,1)",70,2,"lower bound",2,36],[3,8,"t","(3,2,1,1,1)",64,8,"lower bound",8,36],[3,8,"t","(3,1,1,1,1,1)",21,9,"lower bound",9,14],[3,8,"t","(7,1)",7,0,"exact",0,0],[3,8,"t","(4,4)",14,5,"upper bound",0,5],[3,8,"t","(6,2)",20,6,"upper bound",0,6],[3,8,"t","(6,1,1)",21,6,"upper bound",0,6],[3,8,"t","(5,3)",28,10,"upper bound",0,10],[3,8,"t","(5,1,1,1)",35,16,"upper bound",0,16],[3,8,"t","(3,3,2)",42,19,"upper bound",0,19],[3,8,"t","(3,3,1,1)",56,28,"upper bound",0,28],[3,8,"t","(4,2,2)",56,24,"upper bound",0,24],[3,8,"t","(5,2,1)",64,24,"upper bound",0,24],[3,8,"t","(4,3,1)",70,30,"upper bound",0,30],[3,9,"t","(1,1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,9,"t","(9)",1,0,"exact",0,0],[3,9,"t","(6,3)",48,1,"lower bound",1,23],[3,9,"t","(6,2,1)",105,2,"lower bound",2,53],[3,9,"t","(6,1,1,1)",56,1,"lower bound",1,32],[3,9,"t","(5,4)",42,1,"lower bound",1,22],[3,9,"t","(5,3,1)",162,5,"lower bound",5,93],[3,9,"t","(5,2,2)",120,6,"lower bound",6,71],[3,9,"t","(5,2,1,1)",189,13,"lower bound",13,119],[3,9,"t","(5,1,1,1,1)",70,12,"lower bound",12,48],[3,9,"t","(4,4,1)",84,4,"lower bound",4,50],[3,9,"t","(4,3,2)",168,8,"lower bound",8,104],[3,9,"t","(4,3,1,1)",216,18,"lower bound",18,144],[3,9,"t","(4,2,2,1)",216,23,"lower bound",23,146],[3,9,"t","(4,2,1,1,1)",189,39,"lower bound",39,138],[3,9,"t","(4,1,1,1,1,1)",56,25,"lower bound",25,45],[3,9,"t","(3,3,3)",42,6,"lower bound",6,27],[3,9,"t","(3,3,2,1)",168,20,"lower bound",20,116],[3,9,"t","(3,3,1,1,1)",120,26,"lower bound",26,89],[3,9,"t","(3,2,2,2)",84,14,"lower bound",14,59],[3,9,"t","(3,2,2,1,1)",162,38,"lower bound",38,120],[3,9,"t","(3,2,1,1,1,1)",105,47,"lower bound",47,85],[3,9,"t","(3,1,1,1,1,1,1)",28,19,"lower bound",19,24],[3,9,"t","(2,2,2,2,1)",42,10,"lower bound",10,31],[3,9,"t","(2,2,2,1,1,1)",48,22,"lower bound",22,38],[3,9,"t","(2,2,1,1,1,1,1)",27,18,"lower bound",18,23],[3,9,"t","(2,1,1,1,1,1,1,1)",8,7,"exact",7,7],[3,9,"t","(8,1)",8,0,"exact",0,0],[3,9,"t","(7,2)",27,10,"upper bound",0,10],[3,9,"t","(7,1,1)",28,10,"upper bound",0,10],[3,10,"t","(10)",1,0,"exact",0,0],[3,10,"t","(7,3)",75,4,"lower bound",4,43],[3,10,"t","(7,2,1)",160,8,"lower bound",8,96],[3,10,"t","(7,1,1,1)",84,4,"lower bound",4,55],[3,10,"t","(6,4)",90,8,"lower bound",8,57],[3,10,"t","(6,3,1)",315,33,"lower bound",33,216],[3,10,"t","(6,2,2)",225,28,"lower bound",28,157],[3,10,"t","(6,2,1,1)",350,53,"lower bound",53,258],[3,10,"t","(6,1,1,1,1)",126,31,"lower bound",31,98],[3,10,"t","(5,5)",42,4,"lower bound",4,27],[3,10,"t","(5,4,1)",288,41,"lower bound",41,206],[3,10,"t","(5,3,2)",450,74,"lower bound",74,333],[3,10,"t","(5,3,1,1)",567,115,"lower bound",115,439],[3,10,"t","(5,2,2,1)",525,123,"lower bound",123,413],[3,10,"t","(5,2,1,1,1)",448,146,"lower bound",146,372],[3,10,"t","(5,1,1,1,1,1)",126,67,"lower bound",67,112],[3,10,"t","(4,4,2)",252,48,"lower bound",48,189],[3,10,"t","(4,4,1,1)",300,74,"lower bound",74,238],[3,10,"t","(4,3,3)",210,49,"lower bound",49,161],[3,10,"t","(4,3,2,1)",768,211,"lower bound",211,618],[3,10,"t","(4,3,1,1,1)",525,192,"lower bound",192,444],[3,10,"t","(4,2,2,2)",300,96,"lower bound",96,245],[3,10,"t","(4,2,2,1,1)",567,220,"lower bound",220,483],[3,10,"t","(4,2,1,1,1,1)",350,190,"lower bound",190,313],[3,10,"t","(4,1,1,1,1,1,1)",84,61,"lower bound",61,79],[3,10,"t","(3,3,3,1)",210,70,"lower bound",70,171],[3,10,"t","(3,3,2,2)",252,92,"lower bound",92,210],[3,10,"t","(3,3,2,1,1)",450,185,"lower bound",185,384],[3,10,"t","(3,3,1,1,1,1)",225,130,"lower bound",130,204],[3,10,"t","(3,2,2,2,1)",288,128,"lower bound",128,248],[3,10,"t","(3,2,2,1,1,1)",315,180,"lower bound",180,282],[3,10,"t","(3,2,1,1,1,1,1)",160,117,"lower bound",117,150],[3,10,"t","(3,1,1,1,1,1,1,1)",36,31,"lower bound",31,34],[3,10,"t","(2,2,2,2,2)",42,18,"lower bound",18,35],[3,10,"t","(2,2,2,2,1,1)",90,53,"lower bound",53,81],[3,10,"t","(2,2,2,1,1,1,1)",75,54,"lower bound",54,69],[3,10,"t","(2,2,1,1,1,1,1,1)",35,30,"lower bound",30,34],[3,10,"t","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[3,10,"t","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"t","(9,1)",9,0,"exact",0,0],[3,10,"t","(8,2)",35,15,"upper bound",0,15],[3,10,"t","(8,1,1)",36,15,"upper bound",0,15],[3,11,"t","(11)",1,0,"exact",0,0],[3,11,"t","(8,3)",110,10,"lower bound",10,71],[3,11,"t","(8,2,1)",231,20,"lower bound",20,155],[3,11,"t","(8,1,1,1)",120,10,"lower bound",10,86],[3,11,"t","(7,4)",165,28,"lower bound",28,119],[3,11,"t","(7,3,1)",550,104,"lower bound",104,420],[3,11,"t","(7,2,2)",385,82,"lower bound",82,300],[3,11,"t","(7,2,1,1)",594,142,"lower bound",142,479],[3,11,"t","(7,1,1,1,1)",210,69,"lower bound",69,177],[3,11,"t","(6,5)",132,28,"lower bound",28,98],[3,11,"t","(6,4,1)",693,183,"lower bound",183,554],[3,11,"t","(6,3,2)",990,290,"lower bound",290,812],[3,11,"t","(6,3,1,1)",1232,413,"lower bound",413,1045],[3,11,"t","(6,2,2,1)",1100,402,"lower bound",402,943],[3,11,"t","(6,2,1,1,1)",924,415,"lower bound",415,823],[3,11,"t","(6,1,1,1,1,1)",252,155,"lower bound",155,234],[3,11,"t","(5,5,1)",330,99,"lower bound",99,268],[3,11,"t","(5,4,2)",990,347,"lower bound",347,830],[3,11,"t","(5,4,1,1)",1155,459,"lower bound",459,998],[3,11,"t","(5,3,3)",660,251,"lower bound",251,559],[3,11,"t","(5,3,2,1)",2310,1006,"lower bound",1006,2026],[3,11,"t","(5,3,1,1,1)",1540,795,"lower bound",795,1397],[3,11,"t","(5,2,2,2)",825,399,"lower bound",399,735],[3,11,"t","(5,2,2,1,1)",1540,829,"lower bound",829,1403],[3,11,"t","(5,2,1,1,1,1)",924,611,"lower bound",611,871],[3,11,"t","(5,1,1,1,1,1,1)",210,168,"lower bound",168,203],[3,11,"t","(4,4,3)",462,191,"lower bound",191,395],[3,11,"t","(4,4,2,1)",1320,626,"lower bound",626,1168],[3,11,"t","(4,4,1,1,1)",825,456,"lower bound",456,753],[3,11,"t","(4,3,3,1)",1188,597,"lower bound",597,1057],[3,11,"t","(4,3,2,2)",1320,704,"lower bound",704,1189],[3,11,"t","(4,3,2,1,1)",2310,1332,"lower bound",1332,2122],[3,11,"t","(4,3,1,1,1,1)",1100,759,"lower bound",759,1042],[3,11,"t","(4,2,2,2,1)",1155,705,"lower bound",705,1068],[3,11,"t","(4,2,2,1,1,1)",1232,862,"lower bound",862,1167],[3,11,"t","(4,2,1,1,1,1,1)",594,482,"lower bound",482,577],[3,11,"t","(4,1,1,1,1,1,1,1)",120,108,"lower bound",108,118],[3,11,"t","(3,3,3,2)",462,270,"lower bound",270,418],[3,11,"t","(3,3,3,1,1)",660,407,"lower bound",407,608],[3,11,"t","(3,3,2,2,1)",990,621,"lower bound",621,918],[3,11,"t","(3,3,2,1,1,1)",990,711,"lower bound",711,939],[3,11,"t","(3,3,1,1,1,1,1)",385,320,"lower bound",320,374],[3,11,"t","(3,2,2,2,2)",330,222,"lower bound",222,308],[3,11,"t","(3,2,2,2,1,1)",693,509,"lower bound",509,658],[3,11,"t","(3,2,2,1,1,1,1)",550,453,"lower bound",453,533],[3,11,"t","(3,2,1,1,1,1,1,1)",231,209,"lower bound",209,228],[3,11,"t","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[3,11,"t","(2,2,2,2,2,1)",132,98,"lower bound",98,125],[3,11,"t","(2,2,2,2,1,1,1)",165,136,"lower bound",136,159],[3,11,"t","(2,2,2,1,1,1,1,1)",110,98,"lower bound",98,108],[3,11,"t","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[3,11,"t","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[3,11,"t","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,11,"t","(10,1)",10,0,"exact",0,0],[3,11,"t","(9,2)",44,21,"upper bound",0,21],[3,11,"t","(9,1,1)",45,21,"upper bound",0,21],[3,12,"t","(12)",1,0,"exact",0,0],[3,12,"t","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[3,12,"t","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[3,12,"t","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[3,12,"t","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[3,12,"t","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[3,12,"t","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[3,12,"t","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"t","(11,1)",11,0,"exact",0,0],[3,12,"t","(10,2)",54,28,"upper bound",0,28],[3,12,"t","(10,1,1)",55,28,"upper bound",0,28],[3,12,"t","(2,2,2,2,2,2)",132,114,"lower bound",114,128],[3,12,"t","(6,6)",132,47,"lower bound",47,108],[3,12,"t","(9,3)",154,20,"lower bound",20,108],[3,12,"t","(9,1,1,1)",165,20,"lower bound",20,126],[3,12,"t","(2,2,2,2,1,1,1,1)",275,259,"lower bound",259,273],[3,12,"t","(8,4)",275,68,"lower bound",68,215],[3,12,"t","(2,2,2,2,2,1,1)",297,270,"lower bound",270,292],[3,12,"t","(7,5)",297,97,"lower bound",97,242],[3,12,"t","(9,2,1)",320,40,"lower bound",40,232],[3,12,"t","(5,1,1,1,1,1,1,1)",330,307,"lower bound",307,327],[3,12,"t","(8,1,1,1,1)",330,133,"lower bound",133,291],[3,12,"t","(3,3,3,3)",462,329,"lower bound",329,439],[3,12,"t","(4,4,4)",462,274,"lower bound",274,422],[3,12,"t","(6,1,1,1,1,1,1)",462,379,"lower bound",379,454],[3,12,"t","(7,1,1,1,1,1)",462,295,"lower bound",295,441],[3,12,"t","(3,3,1,1,1,1,1,1)",616,584,"lower bound",584,612],[3,12,"t","(8,2,2)",616,182,"lower bound",182,512],[3,12,"t","(3,2,2,1,1,1,1,1)",891,844,"lower bound",844,886],[3,12,"t","(8,3,1)",891,242,"lower bound",242,731],[3,12,"t","(4,2,1,1,1,1,1,1)",945,894,"lower bound",894,941],[3,12,"t","(8,2,1,1)",945,302,"lower bound",302,808],[3,12,"t","(3,2,2,2,2,1)",1155,966,"lower bound",966,1130],[3,12,"t","(6,5,1)",1155,503,"lower bound",503,1008],[3,12,"t","(3,3,2,2,2)",1320,1008,"lower bound",1008,1279],[3,12,"t","(5,5,2)",1320,528,"lower bound",528,1190],[3,12,"t","(3,2,2,2,1,1,1)",1408,1200,"lower bound",1200,1388],[3,12,"t","(7,4,1)",1408,506,"lower bound",506,1208],[3,12,"t","(4,2,2,2,2)",1485,1042,"lower bound",1042,1434],[3,12,"t","(5,5,1,1)",1485,687,"lower bound",687,1362],[3,12,"t","(3,3,3,1,1,1)",1650,1359,"lower bound",1359,1609],[3,12,"t","(6,3,3)",1650,642,"lower bound",642,1487],[3,12,"t","(5,2,1,1,1,1,1)",1728,1477,"lower bound",1477,1704],[3,12,"t","(7,2,1,1,1)",1728,860,"lower bound",860,1602],[3,12,"t","(3,3,2,1,1,1,1)",1925,1738,"lower bound",1738,1900],[3,12,"t","(4,4,1,1,1,1)",1925,1520,"lower bound",1520,1871],[3,12,"t","(6,2,2,2)",1925,1008,"lower bound",1008,1792],[3,12,"t","(7,3,2)",1925,697,"lower bound",697,1684],[3,12,"t","(4,3,1,1,1,1,1)",2079,1853,"lower bound",1853,2052],[3,12,"t","(7,2,2,1)",2079,832,"lower bound",832,1878],[3,12,"t","(6,2,1,1,1,1)",2100,1537,"lower bound",1537,2029],[3,12,"t","(3,3,3,2,1)",2112,1599,"lower bound",1599,2034],[3,12,"t","(5,4,3)",2112,1152,"lower bound",1152,1922],[3,12,"t","(4,2,2,1,1,1,1)",2376,2116,"lower bound",2116,2343],[3,12,"t","(7,3,1,1)",2376,779,"lower bound",779,2127],[3,12,"t","(4,4,2,2)",2640,1330,"lower bound",1330,2493],[3,12,"t","(3,3,2,2,1,1)",2673,1841,"lower bound",1841,2607],[3,12,"t","(6,4,2)",2673,985,"lower bound",985,2387],[3,12,"t","(4,3,3,2)",2970,2007,"lower bound",2007,2815],[3,12,"t","(4,4,3,1)",2970,1882,"lower bound",1882,2787],[3,12,"t","(4,2,2,2,1,1)",3080,2076,"lower bound",2076,3007],[3,12,"t","(6,4,1,1)",3080,1328,"lower bound",1328,2810],[3,12,"t","(5,2,2,2,1)",3520,2220,"lower bound",2220,3374],[3,12,"t","(5,4,1,1,1)",3520,2255,"lower bound",2255,3340],[3,12,"t","(5,3,1,1,1,1)",3564,2165,"lower bound",2165,3464],[3,12,"t","(6,2,2,1,1)",3564,1646,"lower bound",1646,3374],[3,12,"t","(5,2,2,1,1,1)",3696,2302,"lower bound",2302,3592],[3,12,"t","(6,3,1,1,1)",3696,1623,"lower bound",1623,3484],[3,12,"t","(4,3,3,1,1)",4158,2336,"lower bound",2336,3981],[3,12,"t","(5,3,3,1)",4158,1854,"lower bound",1854,3883],[3,12,"t","(4,4,2,1,1)",4455,2414,"lower bound",2414,4262],[3,12,"t","(5,3,2,2)",4455,2109,"lower bound",2109,4198],[3,12,"t","(4,3,2,1,1,1)",5632,3664,"lower bound",3664,5486],[3,12,"t","(6,3,2,1)",5632,2111,"lower bound",2111,5192],[3,12,"t","(4,3,2,2,1)",5775,3362,"lower bound",3362,5555],[3,12,"t","(5,4,2,1)",5775,2438,"lower bound",2438,5371],[3,12,"t","(5,3,2,1,1)",7700,3962,"lower bound",3962,7341],[3,13,"t","(13)",1,0,"exact",0,0],[3,13,"t","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[3,13,"t","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[3,13,"t","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[3,13,"t","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[3,13,"t","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,13,"t","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"t","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[3,13,"t","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"t","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[3,13,"t","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[3,13,"t","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[3,13,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"t","(12,1)",12,0,"exact",0,0],[3,13,"t","(11,2)",65,36,"upper bound",0,36],[3,13,"t","(11,1,1)",66,36,"upper bound",0,36],[3,13,"t","(10,3)",208,35,"lower bound",35,155],[3,13,"t","(10,1,1,1)",220,35,"lower bound",35,176],[3,13,"t","(2,2,2,2,2,2,1)",429,410,"lower bound",410,426],[3,13,"t","(7,6)",429,204,"lower bound",204,376],[3,13,"t","(9,4)",429,88,"lower bound",88,356],[3,13,"t","(10,2,1)",429,69,"lower bound",69,329],[3,13,"t","(9,1,1,1,1)",495,184,"lower bound",184,451],[3,13,"t","(2,2,2,2,2,1,1,1)",572,557,"lower bound",557,570],[3,13,"t","(8,5)",572,235,"lower bound",235,494],[3,13,"t","(6,1,1,1,1,1,1,1)",792,741,"lower bound",741,789],[3,13,"t","(8,1,1,1,1,1)",792,553,"lower bound",553,767],[3,13,"t","(7,1,1,1,1,1,1)",924,789,"lower bound",789,914],[3,13,"t","(9,2,2)",936,238,"lower bound",238,815],[3,13,"t","(3,2,2,2,2,2)",1287,1080,"lower bound",1080,1276],[3,13,"t","(6,6,1)",1287,550,"lower bound",550,1183],[3,13,"t","(9,3,1)",1365,305,"lower bound",305,1174],[3,13,"t","(9,2,1,1)",1430,409,"lower bound",409,1270],[3,13,"t","(3,2,2,2,1,1,1,1)",2574,2303,"lower bound",2303,2568],[3,13,"t","(3,3,3,3,1)",2574,1928,"lower bound",1928,2529],[3,13,"t","(5,4,4)",2574,1426,"lower bound",1426,2447],[3,13,"t","(8,4,1)",2574,853,"lower bound",853,2311],[3,13,"t","(3,2,2,2,2,1,1)",2860,2436,"lower bound",2436,2843],[3,13,"t","(7,5,1)",2860,1340,"lower bound",1340,2613],[3,13,"t","(5,2,1,1,1,1,1,1)",3003,2678,"lower bound",2678,2997],[3,13,"t","(8,2,1,1,1)",3003,1295,"lower bound",1295,2852],[3,13,"t","(3,3,2,1,1,1,1,1)",3432,3350,"lower bound",3350,3425],[3,13,"t","(3,3,3,2,2)",3432,3095,"lower bound",3095,3380],[3,13,"t","(4,3,3,3)",3432,2873,"lower bound",2873,3346],[3,13,"t","(4,4,4,1)",3432,2759,"lower bound",2759,3319],[3,13,"t","(5,5,3)",3432,2433,"lower bound",2433,3252],[3,13,"t","(8,3,2)",3432,1755,"lower bound",1755,3127],[3,13,"t","(3,3,3,1,1,1,1)",3575,3399,"lower bound",3399,3553],[3,13,"t","(7,3,3)",3575,2235,"lower bound",2235,3341],[3,13,"t","(4,3,1,1,1,1,1,1)",3640,3545,"lower bound",3545,3633],[3,13,"t","(8,2,2,1)",3640,2091,"lower bound",2091,3394],[3,13,"t","(4,4,1,1,1,1,1)",4004,3764,"lower bound",3764,3980],[3,13,"t","(7,2,2,2)",4004,2836,"lower bound",2836,3832],[3,13,"t","(4,2,2,1,1,1,1,1)",4212,4096,"lower bound",4096,4203],[3,13,"t","(8,3,1,1)",4212,2305,"lower bound",2305,3903],[3,13,"t","(6,2,1,1,1,1,1)",4290,3944,"lower bound",3944,4259],[3,13,"t","(7,2,1,1,1,1)",4290,3506,"lower bound",3506,4203],[3,13,"t","(5,2,2,2,2)",5005,4096,"lower bound",4096,4921],[3,13,"t","(5,5,1,1,1)",5005,3991,"lower bound",3991,4863],[3,13,"t","(3,3,2,2,2,1)",5148,4096,"lower bound",4096,5097],[3,13,"t","(6,5,2)",5148,3328,"lower bound",3328,4823],[3,13,"t","(4,2,2,2,2,1)",5720,4096,"lower bound",4096,5664],[3,13,"t","(6,5,1,1)",5720,3895,"lower bound",3895,5426],[3,13,"t","(3,3,2,2,1,1,1)",6006,4779,"lower bound",4779,5971],[3,13,"t","(7,4,2)",6006,3513,"lower bound",3513,5581],[3,13,"t","(3,3,3,2,1,1)",6435,4799,"lower bound",4799,6363],[3,13,"t","(6,4,3)",6435,4096,"lower bound",4096,6074],[3,13,"t","(4,2,2,2,1,1,1)",6864,5392,"lower bound",5392,6824],[3,13,"t","(7,4,1,1)",6864,4059,"lower bound",4059,6467],[3,13,"t","(5,3,1,1,1,1,1)",7371,5495,"lower bound",5495,7325],[3,13,"t","(7,2,2,1,1)",7371,4096,"lower bound",4096,7124],[3,13,"t","(5,2,2,1,1,1,1)",7800,5895,"lower bound",5895,7751],[3,13,"t","(7,3,1,1,1)",7800,4096,"lower bound",4096,7519],[3,13,"t","(4,3,2,2,2)",8580,5412,"lower bound",5412,8447],[3,13,"t","(4,4,3,2)",8580,5219,"lower bound",5219,8344],[3,13,"t","(5,5,2,1)",8580,4096,"lower bound",4096,8239],[3,13,"t","(5,4,1,1,1,1)",9009,5940,"lower bound",5940,8879],[3,13,"t","(6,2,2,2,1)",9009,4874,"lower bound",4874,8797],[3,13,"t","(6,2,2,1,1,1)",9360,5485,"lower bound",5485,9217],[3,13,"t","(6,3,1,1,1,1)",9360,5325,"lower bound",5325,9211],[3,13,"t","(5,2,2,2,1,1)",10296,6598,"lower bound",6598,10172],[3,13,"t","(6,4,1,1,1)",10296,5206,"lower bound",5206,9983],[3,13,"t","(4,3,3,1,1,1)",11440,7359,"lower bound",7359,11298],[3,13,"t","(6,3,3,1)",11440,4607,"lower bound",4607,10985],[3,13,"t","(4,4,3,1,1)",11583,6632,"lower bound",6632,11330],[3,13,"t","(5,3,3,2)",11583,5970,"lower bound",5970,11245],[3,13,"t","(4,3,2,1,1,1,1)",12012,9371,"lower bound",9371,11941],[3,13,"t","(4,4,2,1,1,1)",12012,7598,"lower bound",7598,11860],[3,13,"t","(6,3,2,2)",12012,5228,"lower bound",5228,11596],[3,13,"t","(7,3,2,1)",12012,4419,"lower bound",4419,11406],[3,13,"t","(4,4,2,2,1)",12870,7106,"lower bound",7106,12622],[3,13,"t","(5,4,2,2)",12870,5877,"lower bound",5877,12472],[3,13,"t","(4,3,3,2,1)",15015,9304,"lower bound",9304,14736],[3,13,"t","(5,4,3,1)",15015,7326,"lower bound",7326,14477],[3,13,"t","(5,3,3,1,1)",16016,8152,"lower bound",8152,15647],[3,13,"t","(4,3,2,2,1,1)",17160,10943,"lower bound",10943,16966],[3,13,"t","(6,4,2,1)",17160,6862,"lower bound",6862,16426],[3,13,"t","(5,3,2,1,1,1)",20592,12093,"lower bound",12093,20592],[3,13,"t","(5,3,2,2,1)",21450,11653,"lower bound",11653,21450],[3,13,"t","(5,4,2,1,1)",21450,11069,"lower bound",11069,21450],[3,13,"t","(6,3,2,1,1)",20592,9342,"lower bound",9342,20592],[3,14,"t","(14)",1,0,"exact",0,0],[3,14,"t","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[3,14,"t","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[3,14,"t","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,14,"t","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[3,14,"t","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,14,"t","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[3,14,"t","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[3,14,"t","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[3,14,"t","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,14,"t","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,14,"t","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,14,"t","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,14,"t","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[3,14,"t","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[3,14,"t","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[3,14,"t","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[3,14,"t","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[3,14,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[3,14,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"t","(13,1)",13,0,"exact",0,0],[3,14,"t","(12,2)",77,45,"upper bound",0,45],[3,14,"t","(12,1,1)",78,45,"upper bound",0,45],[3,14,"t","(11,3)",273,56,"lower bound",56,213],[3,14,"t","(11,1,1,1)",286,56,"lower bound",56,237],[3,14,"t","(2,2,2,2,2,2,2)",429,420,"lower bound",420,427],[3,14,"t","(7,7)",429,262,"lower bound",262,394],[3,14,"t","(11,2,1)",560,112,"lower bound",112,448],[3,14,"t","(10,4)",637,245,"lower bound",245,550],[3,14,"t","(10,1,1,1,1)",715,362,"lower bound",362,665],[3,14,"t","(2,2,2,2,2,2,1,1)",1001,990,"lower bound",990,1000],[3,14,"t","(8,6)",1001,578,"lower bound",578,914],[3,14,"t","(9,5)",1001,507,"lower bound",507,900],[3,14,"t","(9,1,1,1,1,1)",1287,1001,"lower bound",1001,1259],[3,14,"t","(10,2,2)",1365,598,"lower bound",598,1225],[3,14,"t","(7,1,1,1,1,1,1,1)",1716,1667,"lower bound",1667,1712],[3,14,"t","(8,1,1,1,1,1,1)",1716,1582,"lower bound",1582,1705],[3,14,"t","(10,3,1)",2002,834,"lower bound",834,1781],[3,14,"t","(10,2,1,1)",2079,958,"lower bound",958,1897],[3,14,"t","(9,4,1)",4368,2357,"lower bound",2357,4042],[3,14,"t","(3,2,2,2,2,2,1)",4576,4096,"lower bound",4096,4566],[3,14,"t","(7,6,1)",4576,3138,"lower bound",3138,4334],[3,14,"t","(9,2,1,1,1)",4928,2715,"lower bound",2715,4752],[3,14,"t","(9,3,2)",5733,3030,"lower bound",3030,5365],[3,14,"t","(3,2,2,2,2,1,1,1)",6006,5296,"lower bound",5296,6000],[3,14,"t","(3,3,3,3,2)",6006,5023,"lower bound",5023,5965],[3,14,"t","(5,5,4)",6006,4096,"lower bound",4096,5842],[3,14,"t","(8,5,1)",6006,3742,"lower bound",3742,5651],[3,14,"t","(9,2,2,1)",6006,3012,"lower bound",3012,5716],[3,14,"t","(3,3,2,2,2,2)",6435,5176,"lower bound",5176,6414],[3,14,"t","(6,6,2)",6435,4096,"lower bound",4096,6191],[3,14,"t","(3,3,3,1,1,1,1,1)",7007,6749,"lower bound",6749,7000],[3,14,"t","(4,2,2,2,2,2)",7007,5176,"lower bound",5176,6982],[3,14,"t","(6,6,1,1)",7007,4445,"lower bound",4445,6798],[3,14,"t","(8,3,3)",7007,4096,"lower bound",4096,6702],[3,14,"t","(9,3,1,1)",7007,3019,"lower bound",3019,6636],[3,14,"t","(4,4,1,1,1,1,1,1)",7644,7309,"lower bound",7309,7639],[3,14,"t","(8,2,2,2)",7644,4927,"lower bound",4927,7428],[3,14,"t","(6,2,1,1,1,1,1,1)",8085,7363,"lower bound",7363,8078],[3,14,"t","(8,2,1,1,1,1)",8085,5354,"lower bound",5354,7980],[3,14,"t","(3,3,3,3,1,1)",9009,6727,"lower bound",6727,8967],[3,14,"t","(6,4,4)",9009,5522,"lower bound",5522,8742],[3,14,"t","(7,2,1,1,1,1,1)",9504,8239,"lower bound",8239,9466],[3,14,"t","(3,3,2,2,1,1,1,1)",12012,10432,"lower bound",10432,12003],[3,14,"t","(4,4,3,3)",12012,8092,"lower bound",8092,11865],[3,14,"t","(4,4,4,2)",12012,7978,"lower bound",7978,11844],[3,14,"t","(8,4,2)",12012,6121,"lower bound",6121,11436],[3,14,"t","(4,2,2,2,1,1,1,1)",13650,11791,"lower bound",11791,13638],[3,14,"t","(8,4,1,1)",13650,7217,"lower bound",7217,13125],[3,14,"t","(3,3,2,2,2,1,1)",14014,11311,"lower bound",11311,13981],[3,14,"t","(5,3,1,1,1,1,1,1)",14014,11718,"lower bound",11718,14002],[3,14,"t","(5,5,1,1,1,1)",14014,9931,"lower bound",9931,13914],[3,14,"t","(6,2,2,2,2)",14014,8970,"lower bound",8970,13888],[3,14,"t","(7,5,2)",14014,8181,"lower bound",8181,13450],[3,14,"t","(8,2,2,1,1)",14014,7482,"lower bound",7482,13714],[3,14,"t","(3,3,3,2,2,1)",15015,11990,"lower bound",11990,14949],[3,14,"t","(4,4,4,1,1)",15015,9391,"lower bound",9391,14855],[3,14,"t","(5,2,2,1,1,1,1,1)",15015,12669,"lower bound",12669,15003],[3,14,"t","(5,3,3,3)",15015,8843,"lower bound",8843,14815],[3,14,"t","(6,5,3)",15015,9857,"lower bound",9857,14542],[3,14,"t","(8,3,1,1,1)",15015,7696,"lower bound",7696,14663],[3,14,"t","(4,2,2,2,2,1,1)",15444,11924,"lower bound",11924,15410],[3,14,"t","(7,5,1,1)",15444,9294,"lower bound",9294,14940],[3,14,"t","(3,3,3,2,1,1,1)",16016,12977,"lower bound",12977,15976],[3,14,"t","(7,4,3)",16016,9844,"lower bound",9844,15450],[3,14,"t","(4,3,2,1,1,1,1,1)",23296,20362,"lower bound",20362,23296],[3,14,"t","(4,3,2,2,1,1,1)",42042,30485,"lower bound",30485,42042],[3,14,"t","(4,3,2,2,2,1)",36608,24547,"lower bound",24547,36608],[3,14,"t","(4,3,3,1,1,1,1)",27027,20129,"lower bound",20129,27027],[3,14,"t","(4,3,3,2,1,1)",50050,32405,"lower bound",32405,50050],[3,14,"t","(4,3,3,2,2)",27027,17811,"lower bound",17811,27027],[3,14,"t","(4,3,3,3,1)",21021,14105,"lower bound",14105,21021],[3,14,"t","(4,4,2,1,1,1,1)",28028,20733,"lower bound",20733,28028],[3,14,"t","(4,4,2,2,1,1)",42042,25647,"lower bound",25647,42042],[3,14,"t","(4,4,2,2,2)",21450,12518,"lower bound",12518,21450],[3,14,"t","(4,4,3,1,1,1)",35035,21589,"lower bound",21589,35035],[3,14,"t","(4,4,3,2,1)",48048,28261,"lower bound",28261,48048],[3,14,"t","(5,2,2,2,1,1,1)",24960,17885,"lower bound",17885,24960],[3,14,"t","(5,2,2,2,2,1)",21021,14790,"lower bound",14790,21021],[3,14,"t","(5,3,2,1,1,1,1)",47775,32854,"lower bound",32854,47775],[3,14,"t","(5,3,2,2,1,1)",69498,41287,"lower bound",41287,69498],[3,14,"t","(5,3,2,2,2)",35035,21161,"lower bound",21161,35035],[3,14,"t","(5,3,3,1,1,1)",48048,27604,"lower bound",27604,48048],[3,14,"t","(5,3,3,2,1)",64064,35079,"lower bound",35079,64064],[3,14,"t","(5,4,1,1,1,1,1)",20384,15199,"lower bound",15199,20384],[3,14,"t","(5,4,2,1,1,1)",63063,36700,"lower bound",36700,63063],[3,14,"t","(5,4,2,2,1)",68640,35705,"lower bound",35705,68640],[3,14,"t","(5,4,3,1,1)",64064,33179,"lower bound",33179,64064],[3,14,"t","(5,4,3,2)",48048,24392,"lower bound",24392,48048],[3,14,"t","(5,4,4,1)",21021,11511,"lower bound",11511,21021],[3,14,"t","(5,5,2,1,1)",35035,19156,"lower bound",19156,35035],[3,14,"t","(5,5,2,2)",21450,9973,"lower bound",9973,21450],[3,14,"t","(5,5,3,1)",27027,13855,"lower bound",13855,27027],[3,14,"t","(6,2,2,1,1,1,1)",21450,15324,"lower bound",15324,21450],[3,14,"t","(6,2,2,2,1,1)",28665,16957,"lower bound",16957,28665],[3,14,"t","(6,3,1,1,1,1,1)",21021,14764,"lower bound",14764,21021],[3,14,"t","(6,3,2,1,1,1)",59904,32245,"lower bound",32245,59904],[3,14,"t","(6,3,2,2,1)",63063,31097,"lower bound",31097,63063],[3,14,"t","(6,3,3,1,1)",48048,22101,"lower bound",22101,48048],[3,14,"t","(6,3,3,2)",35035,15805,"lower bound",15805,35035],[3,14,"t","(6,4,1,1,1,1)",28665,16471,"lower bound",16471,28665],[3,14,"t","(6,4,2,1,1)",69498,32479,"lower bound",32479,69498],[3,14,"t","(6,4,2,2)",42042,17967,"lower bound",17967,42042],[3,14,"t","(6,4,3,1)",50050,22891,"lower bound",22891,50050],[3,14,"t","(6,5,1,1,1)",21021,13092,"lower bound",13092,21021],[3,14,"t","(6,5,2,1)",36608,18181,"lower bound",18181,36608],[3,14,"t","(7,2,2,1,1,1)",21021,13087,"lower bound",13087,21021],[3,14,"t","(7,2,2,2,1)",20384,11806,"lower bound",11806,20384],[3,14,"t","(7,3,1,1,1,1)",21450,12927,"lower bound",12927,21450],[3,14,"t","(7,3,2,1,1)",47775,21953,"lower bound",21953,47775],[3,14,"t","(7,3,2,2)",28028,12483,"lower bound",12483,28028],[3,14,"t","(7,3,3,1)",27027,11261,"lower bound",11261,27027],[3,14,"t","(7,4,1,1,1)",24960,13361,"lower bound",13361,24960],[3,14,"t","(7,4,2,1)",42042,18853,"lower bound",18853,42042],[3,14,"t","(8,3,2,1)",23296,10570,"lower bound",10570,23296],[3,15,"t","(15)",1,0,"exact",0,0],[3,15,"t","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,15,"t","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"t","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[3,15,"t","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[3,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[3,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[3,15,"t","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[3,15,"t","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[3,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[3,15,"t","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[3,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[3,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[3,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[3,15,"t","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[3,15,"t","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[3,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[3,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[3,15,"t","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[3,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[3,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[3,15,"t","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[3,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[3,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[3,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[3,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[3,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,15,"t","(14,1)",14,0,"exact",0,0],[3,15,"t","(13,2)",90,55,"upper bound",0,55],[3,15,"t","(13,1,1)",91,55,"upper bound",0,55],[3,15,"t","(12,3)",350,84,"lower bound",84,283],[3,15,"t","(12,1,1,1)",364,84,"lower bound",84,310],[3,15,"t","(12,2,1)",715,168,"lower bound",168,591],[3,15,"t","(11,4)",910,407,"lower bound",407,810],[3,15,"t","(11,1,1,1,1)",1001,576,"lower bound",576,946],[3,15,"t","(2,2,2,2,2,2,2,1)",1430,1423,"lower bound",1423,1429],[3,15,"t","(8,7)",1430,998,"lower bound",998,1351],[3,15,"t","(10,5)",1638,951,"lower bound",951,1513],[3,15,"t","(11,2,2)",1925,956,"lower bound",956,1768],[3,15,"t","(9,6)",2002,1319,"lower bound",1319,1880],[3,15,"t","(10,1,1,1,1,1)",2002,1658,"lower bound",1658,1970],[3,15,"t","(11,3,1)",2835,1349,"lower bound",1349,2583],[3,15,"t","(11,2,1,1)",2925,1515,"lower bound",1515,2720],[3,15,"t","(9,1,1,1,1,1,1)",3003,2831,"lower bound",2831,2990],[3,15,"t","(8,1,1,1,1,1,1,1)",3432,3368,"lower bound",3368,3428],[3,15,"t","(3,2,2,2,2,2,2)",5005,4516,"lower bound",4516,5001],[3,15,"t","(7,7,1)",5005,3400,"lower bound",3400,4842],[3,15,"t","(3,3,3,3,3)",6006,5023,"lower bound",5023,5989],[3,15,"t","(5,5,5)",6006,4096,"lower bound",4096,5919],[3,15,"t","(10,4,1)",7007,3515,"lower bound",3515,6618],[3,15,"t","(10,2,1,1,1)",7722,4035,"lower bound",4035,7521],[3,15,"t","(10,3,2)",9100,4462,"lower bound",4462,8668],[3,15,"t","(10,2,2,1)",9450,4568,"lower bound",4568,9115],[3,15,"t","(10,3,1,1)",11088,4811,"lower bound",4811,10657],[3,15,"t","(9,5,1)",11375,6606,"lower bound",6606,10907],[3,15,"t","(8,6,1)",11583,7458,"lower bound",7458,11179],[3,15,"t","(9,3,3)",12740,7126,"lower bound",7126,12360],[3,15,"t","(9,2,2,2)",13650,7939,"lower bound",7939,13395],[3,15,"t","(9,2,1,1,1,1)",14300,9070,"lower bound",9070,14179],[3,15,"t","(7,2,1,1,1,1,1,1)",19305,17269,"lower bound",17269,19296],[3,15,"t","(8,2,1,1,1,1,1)",19305,15175,"lower bound",15175,19260],[3,15,"t","(3,2,2,2,2,2,1,1)",11583,10382,"lower bound",10382,11583],[3,15,"t","(3,3,2,2,2,1,1,1)",32032,27039,"lower bound",27039,32032],[3,15,"t","(3,3,2,2,2,2,1)",25025,20583,"lower bound",20583,25025],[3,15,"t","(3,3,3,2,1,1,1,1)",35035,30158,"lower bound",30158,35035],[3,15,"t","(3,3,3,2,2,1,1)",45045,36278,"lower bound",36278,45045],[3,15,"t","(3,3,3,2,2,2)",21450,17166,"lower bound",17166,21450],[3,15,"t","(3,3,3,3,1,1,1)",25025,19704,"lower bound",19704,25025],[3,15,"t","(3,3,3,3,2,1)",30030,23740,"lower bound",23740,30030],[3,15,"t","(4,2,2,2,2,1,1,1)",35100,29011,"lower bound",29011,35100],[3,15,"t","(4,2,2,2,2,2,1)",27027,21196,"lower bound",21196,27027],[3,15,"t","(4,3,2,2,1,1,1,1)",91000,73070,"lower bound",73070,91000],[3,15,"t","(4,3,2,2,2,1,1)",108108,78267,"lower bound",78267,108108],[3,15,"t","(4,3,2,2,2,2)",50050,34899,"lower bound",34899,50050],[3,15,"t","(4,3,3,1,1,1,1,1)",57330,47240,"lower bound",47240,57330],[3,15,"t","(4,3,3,2,1,1,1)",135135,95996,"lower bound",95996,135135],[3,15,"t","(4,3,3,2,2,1)",128700,86753,"lower bound",86753,128700],[3,15,"t","(4,3,3,3,1,1)",80080,53237,"lower bound",53237,80080],[3,15,"t","(4,3,3,3,2)",54054,36939,"lower bound",36939,54054],[3,15,"t","(4,4,2,1,1,1,1,1)",58968,48404,"lower bound",48404,58968],[3,15,"t","(4,4,2,2,1,1,1)",112112,76865,"lower bound",76865,112112],[3,15,"t","(4,4,2,2,2,1)",100100,62712,"lower bound",62712,100100],[3,15,"t","(4,4,3,1,1,1,1)",90090,62451,"lower bound",62451,90090],[3,15,"t","(4,4,3,2,1,1)",175175,107902,"lower bound",107902,175175],[3,15,"t","(4,4,3,2,2)",96525,58590,"lower bound",58590,96525],[3,15,"t","(4,4,3,3,1)",81081,50458,"lower bound",50458,81081],[3,15,"t","(4,4,4,1,1,1)",50050,30980,"lower bound",30980,50050],[3,15,"t","(4,4,4,2,1)",75075,45630,"lower bound",45630,75075],[3,15,"t","(4,4,4,3)",24024,16070,"lower bound",16070,24024],[3,15,"t","(5,2,2,2,1,1,1,1)",53625,42345,"lower bound",42345,53625],[3,15,"t","(5,2,2,2,2,1,1)",61425,44599,"lower bound",44599,61425],[3,15,"t","(5,2,2,2,2,2)",28028,19966,"lower bound",19966,28028],[3,15,"t","(5,3,2,1,1,1,1,1)",100100,77603,"lower bound",77603,100100],[3,15,"t","(5,3,2,2,1,1,1)",184275,122511,"lower bound",122511,184275],[3,15,"t","(5,3,2,2,2,1)",162162,101785,"lower bound",101785,162162],[3,15,"t","(5,3,3,1,1,1,1)",122850,80587,"lower bound",80587,122850],[3,15,"t","(5,3,3,2,1,1)",231660,136375,"lower bound",136375,231660],[3,15,"t","(5,3,3,2,2)",126126,74051,"lower bound",74051,126126],[3,15,"t","(5,3,3,3,1)",100100,58027,"lower bound",58027,100100],[3,15,"t","(5,4,1,1,1,1,1,1)",42042,34226,"lower bound",34226,42042],[3,15,"t","(5,4,2,1,1,1,1)",159250,105486,"lower bound",105486,159250],[3,15,"t","(5,4,2,2,1,1)",243243,139339,"lower bound",139339,243243],[3,15,"t","(5,4,2,2,2)",125125,69384,"lower bound",69384,125125],[3,15,"t","(5,4,3,1,1,1)",210210,119072,"lower bound",119072,210210],[3,15,"t","(5,4,3,2,1)",292864,156616,"lower bound",156616,292864],[3,15,"t","(5,4,3,3)",75075,41327,"lower bound",41327,75075],[3,15,"t","(5,4,4,1,1)",100100,54081,"lower bound",54081,100100],[3,15,"t","(5,4,4,2)",81081,43881,"lower bound",43881,81081],[3,15,"t","(5,5,1,1,1,1,1)",34398,25130,"lower bound",25130,34398],[3,15,"t","(5,5,2,1,1,1)",112112,65787,"lower bound",65787,112112],[3,15,"t","(5,5,2,2,1)",125125,64834,"lower bound",64834,125125],[3,15,"t","(5,5,3,1,1)",126126,66190,"lower bound",66190,126126],[3,15,"t","(5,5,3,2)",96525,48220,"lower bound",48220,96525],[3,15,"t","(5,5,4,1)",54054,29462,"lower bound",29462,54054],[3,15,"t","(6,2,2,1,1,1,1,1)",44550,35356,"lower bound",35356,44550],[3,15,"t","(6,2,2,2,1,1,1)",75075,50166,"lower bound",50166,75075],[3,15,"t","(6,2,2,2,2,1)",63700,40717,"lower bound",40717,63700],[3,15,"t","(6,3,1,1,1,1,1,1)",43120,33845,"lower bound",33845,43120],[3,15,"t","(6,3,2,1,1,1,1)",150150,95187,"lower bound",95187,150150],[3,15,"t","(6,3,2,2,1,1)",221130,121586,"lower bound",121586,221130],[3,15,"t","(6,3,2,2,2)",112112,61228,"lower bound",61228,112112],[3,15,"t","(6,3,3,1,1,1)",156000,81950,"lower bound",81950,156000],[3,15,"t","(6,3,3,2,1)",210210,104082,"lower bound",104082,210210],[3,15,"t","(6,3,3,3)",50050,24648,"lower bound",24648,50050],[3,15,"t","(6,4,1,1,1,1,1)",70070,46434,"lower bound",46434,70070],[3,15,"t","(6,4,2,1,1,1)",221130,117895,"lower bound",117895,221130],[3,15,"t","(6,4,2,2,1)",243243,117248,"lower bound",117248,243243],[3,15,"t","(6,4,3,1,1)",231660,110650,"lower bound",110650,231660],[3,15,"t","(6,4,3,2)",175175,81055,"lower bound",81055,175175],[3,15,"t","(6,4,4,1)",80080,39924,"lower bound",39924,80080],[3,15,"t","(6,5,1,1,1,1)",63700,39494,"lower bound",39494,63700],[3,15,"t","(6,5,2,1,1)",162162,82908,"lower bound",82908,162162],[3,15,"t","(6,5,2,2)",100100,46121,"lower bound",46121,100100],[3,15,"t","(6,5,3,1)",128700,64784,"lower bound",64784,128700],[3,15,"t","(6,5,4)",30030,19475,"lower bound",19475,30030],[3,15,"t","(6,6,1,1,1)",28028,17537,"lower bound",17537,28028],[3,15,"t","(6,6,2,1)",50050,26722,"lower bound",26722,50050],[3,15,"t","(6,6,3)",21450,13953,"lower bound",13953,21450],[3,15,"t","(7,2,2,1,1,1,1)",51975,36650,"lower bound",36650,51975],[3,15,"t","(7,2,2,2,1,1)",70070,41850,"lower bound",41850,70070],[3,15,"t","(7,2,2,2,2)",34398,20776,"lower bound",20776,34398],[3,15,"t","(7,3,1,1,1,1,1)",51975,35930,"lower bound",35930,51975],[3,15,"t","(7,3,2,1,1,1)",150150,80212,"lower bound",80212,150150],[3,15,"t","(7,3,2,2,1)",159250,77339,"lower bound",77339,159250],[3,15,"t","(7,3,3,1,1)",122850,55315,"lower bound",55315,122850],[3,15,"t","(7,3,3,2)",90090,39549,"lower bound",39549,90090],[3,15,"t","(7,4,1,1,1,1)",75075,42759,"lower bound",42759,75075],[3,15,"t","(7,4,2,1,1)",184275,86646,"lower bound",86646,184275],[3,15,"t","(7,4,2,2)",112112,49303,"lower bound",49303,112112],[3,15,"t","(7,4,3,1)",135135,62849,"lower bound",62849,135135],[3,15,"t","(7,4,4)",25025,15366,"lower bound",15366,25025],[3,15,"t","(7,5,1,1,1)",61425,35747,"lower bound",35747,61425],[3,15,"t","(7,5,2,1)",108108,54509,"lower bound",54509,108108],[3,15,"t","(7,5,3)",45045,27882,"lower bound",27882,45045],[3,15,"t","(7,6,1,1)",27027,16877,"lower bound",16877,27027],[3,15,"t","(7,6,2)",25025,15415,"lower bound",15415,25025],[3,15,"t","(8,2,2,1,1,1)",43120,25923,"lower bound",25923,43120],[3,15,"t","(8,2,2,2,1)",42042,24215,"lower bound",24215,42042],[3,15,"t","(8,3,1,1,1,1)",44550,25977,"lower bound",25977,44550],[3,15,"t","(8,3,2,1,1)",100100,47701,"lower bound",47701,100100],[3,15,"t","(8,3,2,2)",58968,27980,"lower bound",27980,58968],[3,15,"t","(8,3,3,1)",57330,25927,"lower bound",25927,57330],[3,15,"t","(8,4,1,1,1)",53625,28274,"lower bound",28274,53625],[3,15,"t","(8,4,2,1)",91000,42761,"lower bound",42761,91000],[3,15,"t","(8,4,3)",35035,20061,"lower bound",20061,35035],[3,15,"t","(8,5,1,1)",35100,20253,"lower bound",20253,35100],[3,15,"t","(8,5,2)",32032,18044,"lower bound",18044,32032],[3,15,"t","(9,2,2,1,1)",24948,13209,"lower bound",13209,24948],[3,15,"t","(9,3,1,1,1)",26950,13430,"lower bound",13430,26950],[3,15,"t","(9,3,2,1)",42042,19631,"lower bound",19631,42042],[3,15,"t","(9,4,1,1)",25025,12593,"lower bound",12593,25025],[3,15,"t","(9,4,2)",22113,11508,"lower bound",11508,22113],[3,16,"t","(16)",1,0,"exact",0,0],[3,16,"t","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[3,16,"t","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[3,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[3,16,"t","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[3,16,"t","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[3,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[3,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,16,"t","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[3,16,"t","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[3,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[3,16,"t","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[3,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[3,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[3,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,16,"t","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[3,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[3,16,"t","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[3,16,"t","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[3,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[3,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,16,"t","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[3,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[3,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[3,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[3,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[3,16,"t","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[3,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[3,16,"t","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[3,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[3,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[3,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[3,16,"t","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[3,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[3,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[3,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[3,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[3,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[3,16,"t","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[3,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[3,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[3,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[3,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[3,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[3,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[3,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,16,"t","(15,1)",15,0,"exact",0,0],[3,16,"t","(14,2)",104,66,"upper bound",0,66],[3,16,"t","(14,1,1)",105,66,"upper bound",0,66],[3,16,"t","(13,3)",440,120,"lower bound",120,366],[3,16,"t","(13,1,1,1)",455,120,"lower bound",120,396],[3,16,"t","(13,2,1)",896,240,"lower bound",240,760],[3,16,"t","(12,4)",1260,629,"lower bound",629,1146],[3,16,"t","(12,1,1,1,1)",1365,846,"lower bound",846,1304],[3,16,"t","(2,2,2,2,2,2,2,2)",1430,1426,"lower bound",1426,1429],[3,16,"t","(8,8)",1430,1120,"lower bound",1120,1378],[3,16,"t","(11,5)",2548,1634,"lower bound",1634,2400],[3,16,"t","(12,2,2)",2640,1444,"lower bound",1444,2464],[3,16,"t","(11,1,1,1,1,1)",3003,2577,"lower bound",2577,2968],[3,16,"t","(9,7)",3432,2528,"lower bound",2528,3304],[3,16,"t","(10,6)",3640,2595,"lower bound",2595,3480],[3,16,"t","(12,3,1)",3900,2049,"lower bound",2049,3618],[3,16,"t","(12,2,1,1)",4004,1900,"lower bound",1900,3777],[3,16,"t","(10,1,1,1,1,1,1)",5005,4489,"lower bound",4489,4991],[3,16,"t","(9,1,1,1,1,1,1,1)",6435,6199,"lower bound",6199,6430],[3,16,"t","(11,4,1)",10752,5271,"lower bound",5271,10300],[3,16,"t","(11,2,1,1,1)",11648,6126,"lower bound",6126,11422],[3,16,"t","(11,3,2)",13860,6767,"lower bound",6767,13365],[3,16,"t","(11,2,2,1)",14300,7039,"lower bound",7039,13921],[3,16,"t","(11,3,1,1)",16848,7675,"lower bound",7675,16355],[3,16,"t","(8,7,1)",18018,11856,"lower bound",11856,17646],[3,16,"t","(10,2,1,1,1,1)",24024,14763,"lower bound",14763,24024],[3,16,"t","(10,2,2,1,1)",42120,21812,"lower bound",21812,42120],[3,16,"t","(10,2,2,2)",23100,12507,"lower bound",12507,23100],[3,16,"t","(10,3,1,1,1)",45760,22276,"lower bound",22276,45760],[3,16,"t","(10,3,2,1)",71680,33472,"lower bound",33472,71680],[3,16,"t","(10,3,3)",21840,11588,"lower bound",11588,21840],[3,16,"t","(10,4,1,1)",43120,20919,"lower bound",20919,43120],[3,16,"t","(10,4,2)",38220,19485,"lower bound",19485,38220],[3,16,"t","(10,5,1)",20020,11072,"lower bound",11072,20020],[3,16,"t","(3,2,2,2,2,2,2,1)",18018,16321,"lower bound",16321,18018],[3,16,"t","(3,3,2,2,2,2,1,1)",68640,58004,"lower bound",58004,68640],[3,16,"t","(3,3,2,2,2,2,2)",30030,25099,"lower bound",25099,30030],[3,16,"t","(3,3,3,2,2,1,1,1)",112112,93475,"lower bound",93475,112112],[3,16,"t","(3,3,3,2,2,2,1)",91520,74027,"lower bound",74027,91520],[3,16,"t","(3,3,3,3,1,1,1,1)",60060,49862,"lower bound",49862,60060],[3,16,"t","(3,3,3,3,2,1,1)",100100,79722,"lower bound",79722,100100],[3,16,"t","(3,3,3,3,2,2)",51480,40906,"lower bound",40906,51480],[3,16,"t","(3,3,3,3,3,1)",36036,28763,"lower bound",28763,36036],[3,16,"t","(4,2,2,2,2,2,1,1)",73710,60589,"lower bound",60589,73710],[3,16,"t","(4,2,2,2,2,2,2)",32032,25712,"lower bound",25712,32032],[3,16,"t","(4,3,2,2,2,1,1,1)",266240,207387,"lower bound",207387,266240],[3,16,"t","(4,3,2,2,2,2,1)",210210,154945,"lower bound",154945,210210],[3,16,"t","(4,3,3,2,1,1,1,1)",318500,246464,"lower bound",246464,318500],[3,16,"t","(4,3,3,2,2,1,1)",416988,297294,"lower bound",297294,416988],[3,16,"t","(4,3,3,2,2,2)",200200,138818,"lower bound",138818,200200],[3,16,"t","(4,3,3,3,1,1,1)",240240,168937,"lower bound",168937,240240],[3,16,"t","(4,3,3,3,2,1)",292864,200669,"lower bound",200669,292864],[3,16,"t","(4,3,3,3,3)",60060,41962,"lower bound",41962,60060],[3,16,"t","(4,4,2,2,1,1,1,1)",262080,198339,"lower bound",198339,262080],[3,16,"t","(4,4,2,2,2,1,1)",320320,217844,"lower bound",217844,320320],[3,16,"t","(4,4,2,2,2,2)",150150,97611,"lower bound",97611,150150],[3,16,"t","(4,4,3,1,1,1,1,1)",206388,158095,"lower bound",158095,206388],[3,16,"t","(4,4,3,2,1,1,1)",512512,343214,"lower bound",343214,512512],[3,16,"t","(4,4,3,2,2,1)",500500,315957,"lower bound",315957,500500],[3,16,"t","(4,4,3,3,1,1)",336336,211597,"lower bound",211597,336336],[3,16,"t","(4,4,3,3,2)",231660,145987,"lower bound",145987,231660],[3,16,"t","(4,4,4,1,1,1,1)",140140,93431,"lower bound",93431,140140],[3,16,"t","(4,4,4,2,1,1)",300300,184512,"lower bound",184512,300300],[3,16,"t","(4,4,4,2,2)",171600,104220,"lower bound",104220,171600],[3,16,"t","(4,4,4,3,1)",180180,112158,"lower bound",112158,180180],[3,16,"t","(4,4,4,4)",24024,16070,"lower bound",16070,24024],[3,16,"t","(5,2,2,2,2,1,1,1)",150150,115955,"lower bound",115955,150150],[3,16,"t","(5,2,2,2,2,2,1)",116480,85761,"lower bound",85761,116480],[3,16,"t","(5,3,2,2,1,1,1,1)",429000,315529,"lower bound",315529,429000],[3,16,"t","(5,3,2,2,2,1,1)",515970,347162,"lower bound",347162,515970],[3,16,"t","(5,3,2,2,2,2)",240240,156650,"lower bound",156650,240240],[3,16,"t","(5,3,3,1,1,1,1,1)",280280,205430,"lower bound",205430,280280],[3,16,"t","(5,3,3,2,1,1,1)",673920,435469,"lower bound",435469,673920],[3,16,"t","(5,3,3,2,2,1)",648648,398964,"lower bound",398964,648648],[3,16,"t","(5,3,3,3,1,1)",411840,247639,"lower bound",247639,411840],[3,16,"t","(5,3,3,3,2)",280280,169017,"lower bound",169017,280280],[3,16,"t","(5,4,2,1,1,1,1,1)",360360,265719,"lower bound",265719,360360],[3,16,"t","(5,4,2,2,1,1,1)",698880,444201,"lower bound",444201,698880],[3,16,"t","(5,4,2,2,2,1)",630630,373220,"lower bound",373220,630630],[3,16,"t","(5,4,3,1,1,1,1)",582400,367596,"lower bound",367596,582400],[3,16,"t","(5,4,3,2,1,1)",1153152,659304,"lower bound",659304,1153152],[3,16,"t","(5,4,3,2,2)",640640,358641,"lower bound",358641,640640],[3,16,"t","(5,4,3,3,1)",549120,306428,"lower bound",306428,549120],[3,16,"t","(5,4,4,1,1,1)",360360,204133,"lower bound",204133,360360],[3,16,"t","(5,4,4,2,1)",549120,300208,"lower bound",300208,549120],[3,16,"t","(5,4,4,3)",180180,101278,"lower bound",101278,180180],[3,16,"t","(5,5,1,1,1,1,1,1)",76440,59356,"lower bound",59356,76440],[3,16,"t","(5,5,2,1,1,1,1)",305760,196403,"lower bound",196403,305760],[3,16,"t","(5,5,2,2,1,1)",480480,269960,"lower bound",269960,480480],[3,16,"t","(5,5,2,2,2)",250250,134218,"lower bound",134218,250250],[3,16,"t","(5,5,3,1,1,1)",448448,251049,"lower bound",251049,448448],[3,16,"t","(5,5,3,2,1)",640640,335860,"lower bound",335860,640640],[3,16,"t","(5,5,3,3)",171600,89547,"lower bound",89547,171600],[3,16,"t","(5,5,4,1,1)",280280,149733,"lower bound",149733,280280],[3,16,"t","(5,5,4,2)",231660,121563,"lower bound",121563,231660],[3,16,"t","(5,5,5,1)",60060,33558,"lower bound",33558,60060],[3,16,"t","(6,2,2,2,1,1,1,1)",173250,127867,"lower bound",127867,173250],[3,16,"t","(6,2,2,2,2,1,1)",200200,135482,"lower bound",135482,200200],[3,16,"t","(6,2,2,2,2,2)",91728,60683,"lower bound",60683,91728],[3,16,"t","(6,3,2,1,1,1,1,1)",337920,241991,"lower bound",241991,337920],[3,16,"t","(6,3,2,2,1,1,1)",630630,389450,"lower bound",389450,630630],[3,16,"t","(6,3,2,2,2,1)",559104,325316,"lower bound",325316,559104],[3,16,"t","(6,3,3,1,1,1,1)",429000,257724,"lower bound",257724,429000],[3,16,"t","(6,3,3,2,1,1)",819000,443993,"lower bound",443993,819000],[3,16,"t","(6,3,3,2,2)",448448,239361,"lower bound",239361,448448],[3,16,"t","(6,3,3,3,1)",360360,186757,"lower bound",186757,360360],[3,16,"t","(6,4,1,1,1,1,1,1)",155232,114505,"lower bound",114505,155232],[3,16,"t","(6,4,2,1,1,1,1)",600600,365002,"lower bound",365002,600600],[3,16,"t","(6,4,2,2,1,1)",928746,496068,"lower bound",496068,928746],[3,16,"t","(6,4,2,2,2)",480480,247860,"lower bound",247860,480480],[3,16,"t","(6,4,3,1,1,1)",819000,429567,"lower bound",429567,819000],[3,16,"t","(6,4,3,2,1)",1153152,569651,"lower bound",569651,1153152],[3,16,"t","(6,4,3,3)",300300,147030,"lower bound",147030,300300],[3,16,"t","(6,4,4,1,1)",411840,204655,"lower bound",204655,411840],[3,16,"t","(6,4,4,2)",336336,164860,"lower bound",164860,336336],[3,16,"t","(6,5,1,1,1,1,1)",168168,111058,"lower bound",111058,168168],[3,16,"t","(6,5,2,1,1,1)",559104,306084,"lower bound",306084,559104],[3,16,"t","(6,5,2,2,1)",630630,311111,"lower bound",311111,630630],[3,16,"t","(6,5,3,1,1)",648648,324532,"lower bound",324532,648648],[3,16,"t","(6,5,3,2)",500500,240180,"lower bound",240180,500500],[3,16,"t","(6,5,4,1)",292864,153645,"lower bound",153645,292864],[3,16,"t","(6,5,5)",36036,23571,"lower bound",23571,36036],[3,16,"t","(6,6,1,1,1,1)",91728,57031,"lower bound",57031,91728],[3,16,"t","(6,6,2,1,1)",240240,127167,"lower bound",127167,240240],[3,16,"t","(6,6,2,2)",150150,72843,"lower bound",72843,150150],[3,16,"t","(6,6,3,1)",200200,105459,"lower bound",105459,200200],[3,16,"t","(6,6,4)",51480,33428,"lower bound",33428,51480],[3,16,"t","(7,2,2,1,1,1,1,1)",115830,89275,"lower bound",89275,115830],[3,16,"t","(7,2,2,2,1,1,1)",197120,128666,"lower bound",128666,197120],[3,16,"t","(7,2,2,2,2,1)",168168,103343,"lower bound",103343,168168],[3,16,"t","(7,3,1,1,1,1,1,1)",114400,87044,"lower bound",87044,114400],[3,16,"t","(7,3,2,1,1,1,1)",404250,247979,"lower bound",247979,404250],[3,16,"t","(7,3,2,2,1,1)",600600,320987,"lower bound",320987,600600],[3,16,"t","(7,3,2,2,2)",305760,159343,"lower bound",159343,305760],[3,16,"t","(7,3,3,1,1,1)",429000,217477,"lower bound",217477,429000],[3,16,"t","(7,3,3,2,1)",582400,276285,"lower bound",276285,582400],[3,16,"t","(7,3,3,3)",140140,64197,"lower bound",64197,140140],[3,16,"t","(7,4,1,1,1,1,1)",197120,125123,"lower bound",125123,197120],[3,16,"t","(7,4,2,1,1,1)",630630,327512,"lower bound",327512,630630],[3,16,"t","(7,4,2,2,1)",698880,330536,"lower bound",330536,698880],[3,16,"t","(7,4,3,1,1)",673920,315460,"lower bound",315460,673920],[3,16,"t","(7,4,3,2)",512512,232756,"lower bound",232756,512512],[3,16,"t","(7,4,4,1)",240240,118139,"lower bound",118139,240240],[3,16,"t","(7,5,1,1,1,1)",200200,118000,"lower bound",118000,200200],[3,16,"t","(7,5,2,1,1)",515970,259810,"lower bound",259810,515970],[3,16,"t","(7,5,2,2)",320320,149933,"lower bound",149933,320320],[3,16,"t","(7,5,3,1)",416988,210024,"lower bound",210024,416988],[3,16,"t","(7,5,4)",100100,62723,"lower bound",62723,100100],[3,16,"t","(7,6,1,1,1)",116480,70161,"lower bound",70161,116480],[3,16,"t","(7,6,2,1)",210210,113523,"lower bound",113523,210210],[3,16,"t","(7,6,3)",91520,57250,"lower bound",57250,91520],[3,16,"t","(7,7,1,1)",32032,20277,"lower bound",20277,32032],[3,16,"t","(7,7,2)",30030,18815,"lower bound",18815,30030],[3,16,"t","(8,2,1,1,1,1,1,1)",42042,35812,"lower bound",35812,42042],[3,16,"t","(8,2,2,1,1,1,1)",114400,77748,"lower bound",77748,114400],[3,16,"t","(8,2,2,2,1,1)",155232,91988,"lower bound",91988,155232],[3,16,"t","(8,2,2,2,2)",76440,44991,"lower bound",44991,76440],[3,16,"t","(8,3,1,1,1,1,1)",115830,77082,"lower bound",77082,115830],[3,16,"t","(8,3,2,1,1,1)",337920,179813,"lower bound",179813,337920],[3,16,"t","(8,3,2,2,1)",360360,177235,"lower bound",177235,360360],[3,16,"t","(8,3,3,1,1)",280280,128943,"lower bound",128943,280280],[3,16,"t","(8,3,3,2)",206388,93456,"lower bound",93456,206388],[3,16,"t","(8,4,1,1,1,1)",173250,97010,"lower bound",97010,173250],[3,16,"t","(8,4,2,1,1)",429000,205382,"lower bound",205382,429000],[3,16,"t","(8,4,2,2)",262080,120044,"lower bound",120044,262080],[3,16,"t","(8,4,3,1)",318500,151598,"lower bound",151598,318500],[3,16,"t","(8,4,4)",60060,35427,"lower bound",35427,60060],[3,16,"t","(8,5,1,1,1)",150150,84274,"lower bound",84274,150150],[3,16,"t","(8,5,2,1)",266240,135567,"lower bound",135567,266240],[3,16,"t","(8,5,3)",112112,65987,"lower bound",65987,112112],[3,16,"t","(8,6,1,1)",73710,44588,"lower bound",44588,73710],[3,16,"t","(8,6,2)",68640,40917,"lower bound",40917,68640],[3,16,"t","(9,2,1,1,1,1,1)",36608,27076,"lower bound",27076,36608],[3,16,"t","(9,2,2,1,1,1)",82368,48202,"lower bound",48202,82368],[3,16,"t","(9,2,2,2,1)",80640,45363,"lower bound",45363,80640],[3,16,"t","(9,3,1,1,1,1)",85800,48477,"lower bound",48477,85800],[3,16,"t","(9,3,2,1,1)",194040,93971,"lower bound",93971,194040],[3,16,"t","(9,3,2,2)",114660,55550,"lower bound",55550,114660],[3,16,"t","(9,3,3,1)",112112,52684,"lower bound",52684,112112],[3,16,"t","(9,4,1,1,1)",105600,54297,"lower bound",54297,105600],[3,16,"t","(9,4,2,1)",180180,86493,"lower bound",86493,180180],[3,16,"t","(9,4,3)",69888,38695,"lower bound",38695,69888],[3,16,"t","(9,5,1,1)",71500,39452,"lower bound",39452,71500],[3,16,"t","(9,5,2)",65520,36158,"lower bound",36158,65520],[3,16,"t","(9,6,1)",24960,15383,"lower bound",15383,24960],[3,17,"t","(17)",1,0,"exact",0,0],[3,17,"t","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[3,17,"t","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[3,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[3,17,"t","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[3,17,"t","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[3,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[3,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[3,17,"t","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[3,17,"t","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[3,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[3,17,"t","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[3,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[3,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[3,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,17,"t","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[3,17,"t","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[3,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[3,17,"t","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[3,17,"t","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[3,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[3,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[3,17,"t","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[3,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[3,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[3,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[3,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[3,17,"t","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[3,17,"t","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[3,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[3,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[3,17,"t","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[3,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[3,17,"t","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[3,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[3,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[3,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[3,17,"t","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[3,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[3,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[3,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[3,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[3,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,17,"t","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"t","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[3,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[3,17,"t","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[3,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[3,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[3,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[3,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[3,17,"t","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[3,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[3,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[3,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[3,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[3,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[3,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[3,17,"t","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[3,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[3,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[3,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[3,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[3,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[3,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[3,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,17,"t","(16,1)",16,0,"exact",0,0],[3,17,"t","(15,2)",119,78,"upper bound",0,78],[3,17,"t","(15,1,1)",120,78,"upper bound",0,78],[3,17,"t","(14,3)",544,120,"lower bound",120,463],[3,17,"t","(14,1,1,1)",560,120,"lower bound",120,496],[3,17,"t","(14,2,1)",1105,240,"lower bound",240,957],[3,17,"t","(13,4)",1700,749,"lower bound",749,1573],[3,17,"t","(13,1,1,1,1)",1820,966,"lower bound",966,1754],[3,17,"t","(13,2,2)",3536,1684,"lower bound",1684,3343],[3,17,"t","(12,5)",3808,2263,"lower bound",2263,3636],[3,17,"t","(12,1,1,1,1,1)",4368,3423,"lower bound",3423,4329],[3,17,"t","(9,8)",4862,3648,"lower bound",3648,4749],[3,17,"t","(13,3,1)",5236,2409,"lower bound",2409,4923],[3,17,"t","(13,2,1,1)",5355,2260,"lower bound",2260,5105],[3,17,"t","(11,6)",6188,4229,"lower bound",4229,5991],[3,17,"t","(10,7)",7072,5123,"lower bound",5123,6890],[3,17,"t","(11,1,1,1,1,1,1)",8008,7066,"lower bound",7066,7992],[3,17,"t","(10,1,1,1,1,1,1,1)",11440,10688,"lower bound",10688,11435],[3,17,"t","(12,4,1)",15912,7949,"lower bound",7949,15399],[3,17,"t","(12,2,1,1,1)",17017,8872,"lower bound",8872,16766],[3,17,"t","(8,8,1)",19448,12976,"lower bound",12976,19207],[3,17,"t","(10,2,1,1,1,1,1)",65637,46328,"lower bound",46328,65637],[3,17,"t","(10,2,2,1,1,1)",148512,84777,"lower bound",84777,148512],[3,17,"t","(10,2,2,2,1)",145860,79682,"lower bound",79682,145860],[3,17,"t","(10,3,1,1,1,1)",155584,85516,"lower bound",85516,155584],[3,17,"t","(10,3,2,1,1)",353600,171531,"lower bound",171531,353600],[3,17,"t","(10,3,2,2)",209440,101529,"lower bound",101529,209440],[3,17,"t","(10,3,3,1)",205632,97744,"lower bound",97744,205632],[3,17,"t","(10,4,1,1,1)",194480,97492,"lower bound",97492,194480],[3,17,"t","(10,4,2,1)",333200,160369,"lower bound",160369,333200],[3,17,"t","(10,4,3)",129948,69768,"lower bound",69768,129948],[3,17,"t","(10,5,1,1)",134640,71443,"lower bound",71443,134640],[3,17,"t","(10,5,2)",123760,66715,"lower bound",66715,123760],[3,17,"t","(10,6,1)",48620,29050,"lower bound",29050,48620],[3,17,"t","(11,2,1,1,1,1)",38675,23466,"lower bound",23466,38675],[3,17,"t","(11,2,2,1,1)",68068,34977,"lower bound",34977,68068],[3,17,"t","(11,2,2,2)",37400,19546,"lower bound",19546,37400],[3,17,"t","(11,3,1,1,1)",74256,36077,"lower bound",36077,74256],[3,17,"t","(11,3,2,1)",116688,54953,"lower bound",54953,116688],[3,17,"t","(11,3,3)",35700,18355,"lower bound",18355,35700],[3,17,"t","(11,4,1,1)",70720,33865,"lower bound",33865,70720],[3,17,"t","(11,4,2)",62832,31523,"lower bound",31523,62832],[3,17,"t","(11,5,1)",33320,17977,"lower bound",17977,33320],[3,17,"t","(12,2,2,1)",20944,10383,"lower bound",10383,20944],[3,17,"t","(12,3,1,1)",24752,11624,"lower bound",11624,24752],[3,17,"t","(12,3,2)",20400,10260,"lower bound",10260,20400],[3,17,"t","(3,2,2,2,2,2,2,2)",19448,17747,"lower bound",17747,19448],[3,17,"t","(3,3,2,2,2,2,2,1)",116688,99424,"lower bound",99424,116688],[3,17,"t","(3,3,3,2,2,2,1,1)",272272,225506,"lower bound",225506,272272],[3,17,"t","(3,3,3,2,2,2,2)",121550,99126,"lower bound",99126,121550],[3,17,"t","(3,3,3,3,2,1,1,1)",272272,223059,"lower bound",223059,272272],[3,17,"t","(3,3,3,3,2,2,1)",243100,194655,"lower bound",194655,243100],[3,17,"t","(3,3,3,3,3,1,1)",136136,108485,"lower bound",108485,136136],[3,17,"t","(3,3,3,3,3,2)",87516,69669,"lower bound",69669,87516],[3,17,"t","(4,2,2,2,2,2,2,1)",123760,102622,"lower bound",102622,123760],[3,17,"t","(4,3,2,2,2,2,1,1)",618800,480925,"lower bound",480925,618800],[3,17,"t","(4,3,2,2,2,2,2)",272272,205756,"lower bound",205756,272272],[3,17,"t","(4,3,3,2,2,1,1,1)",1113840,844620,"lower bound",844620,1113840],[3,17,"t","(4,3,3,2,2,2,1)",918918,665084,"lower bound",665084,918918],[3,17,"t","(4,3,3,3,1,1,1,1)",618800,465263,"lower bound",465263,618800],[3,17,"t","(4,3,3,3,2,1,1)",1050192,746622,"lower bound",746622,1050192],[3,17,"t","(4,3,3,3,2,2)",544544,380393,"lower bound",380393,544544],[3,17,"t","(4,3,3,3,3,1)",388960,271394,"lower bound",271394,388960],[3,17,"t","(4,4,2,2,2,1,1,1)",848640,623570,"lower bound",623570,848640],[3,17,"t","(4,4,2,2,2,2,1)",680680,470400,"lower bound",470400,680680],[3,17,"t","(4,4,3,2,1,1,1,1)",1299480,946112,"lower bound",946112,1299480],[3,17,"t","(4,4,3,2,2,1,1)",1750320,1174309,"lower bound",1174309,1750320],[3,17,"t","(4,4,3,2,2,2)",850850,552386,"lower bound",552386,850850],[3,17,"t","(4,4,3,3,1,1,1)",1089088,723748,"lower bound",723748,1089088],[3,17,"t","(4,4,3,3,2,1)",1361360,874210,"lower bound",874210,1361360],[3,17,"t","(4,4,3,3,3)",291720,187949,"lower bound",187949,291720],[3,17,"t","(4,4,4,1,1,1,1,1)",346528,251526,"lower bound",251526,346528],[3,17,"t","(4,4,4,2,1,1,1)",952952,621157,"lower bound",621157,952952],[3,17,"t","(4,4,4,2,2,1)",972400,604689,"lower bound",604689,972400],[3,17,"t","(4,4,4,3,1,1)",816816,508267,"lower bound",508267,816816],[3,17,"t","(4,4,4,3,2)",583440,362365,"lower bound",362365,583440],[3,17,"t","(4,4,4,4,1)",204204,128228,"lower bound",128228,204204],[3,17,"t","(5,2,2,2,2,2,1,1)",340340,262305,"lower bound",262305,340340],[3,17,"t","(5,2,2,2,2,2,2)",148512,111473,"lower bound",111473,148512],[3,17,"t","(5,3,2,2,2,1,1,1)",1361360,986033,"lower bound",986033,1361360],[3,17,"t","(5,3,2,2,2,2,1)",1082900,744518,"lower bound",744518,1082900],[3,17,"t","(5,3,3,2,1,1,1,1)",1701700,1202892,"lower bound",1202892,1701700],[3,17,"t","(5,3,3,2,2,1,1)",2255526,1478889,"lower bound",1478889,2255526],[3,17,"t","(5,3,3,2,2,2)",1089088,694432,"lower bound",694432,1089088],[3,17,"t","(5,3,3,3,1,1,1)",1326000,852045,"lower bound",852045,1326000],[3,17,"t","(5,3,3,3,2,1)",1633632,1016289,"lower bound",1016289,1633632],[3,17,"t","(5,3,3,3,3)",340340,210979,"lower bound",210979,340340],[3,17,"t","(5,4,2,2,1,1,1,1)",1750320,1223788,"lower bound",1223788,1750320],[3,17,"t","(5,4,2,2,2,1,1)",2165800,1382427,"lower bound",1382427,2165800],[3,17,"t","(5,4,2,2,2,2)",1021020,627481,"lower bound",627481,1021020],[3,17,"t","(5,4,3,1,1,1,1,1)",1429428,996840,"lower bound",996840,1429428],[3,17,"t","(5,4,3,2,1,1,1)",3620864,2249784,"lower bound",2249784,3620864],[3,17,"t","(5,4,3,2,2,1)",3573570,2106086,"lower bound",2106086,3573570],[3,17,"t","(5,4,3,3,1,1)",2450448,1424968,"lower bound",1424968,2450448],[3,17,"t","(5,4,3,3,2)",1701700,980073,"lower bound",980073,1701700],[3,17,"t","(5,4,4,1,1,1,1)",1082900,665160,"lower bound",665160,1082900],[3,17,"t","(5,4,4,2,1,1)",2362932,1348157,"lower bound",1348157,2362932],[3,17,"t","(5,4,4,2,2)",1361360,763069,"lower bound",763069,1361360],[3,17,"t","(5,4,4,3,1)",1458600,820072,"lower bound",820072,1458600],[3,17,"t","(5,4,4,4)",204204,117348,"lower bound",117348,204204],[3,17,"t","(5,5,2,1,1,1,1,1)",742560,521478,"lower bound",521478,742560],[3,17,"t","(5,5,2,2,1,1,1)",1485120,910564,"lower bound",910564,1485120],[3,17,"t","(5,5,2,2,2,1)",1361360,777398,"lower bound",777398,1361360],[3,17,"t","(5,5,3,1,1,1,1)",1336608,815048,"lower bound",815048,1336608],[3,17,"t","(5,5,3,2,1,1)",2722720,1516173,"lower bound",1516173,2722720],[3,17,"t","(5,5,3,2,2)",1531530,828719,"lower bound",828719,1531530],[3,17,"t","(5,5,3,3,1)",1361360,731835,"lower bound",731835,1361360],[3,17,"t","(5,5,4,1,1,1)",1089088,604915,"lower bound",604915,1089088],[3,17,"t","(5,5,4,2,1)",1701700,907364,"lower bound",907364,1701700],[3,17,"t","(5,5,4,3)",583440,312388,"lower bound",312388,583440],[3,17,"t","(5,5,5,1,1)",340340,183291,"lower bound",183291,340340],[3,17,"t","(5,5,5,2)",291720,155121,"lower bound",155121,291720],[3,17,"t","(6,2,2,2,2,1,1,1)",523600,379304,"lower bound",379304,523600],[3,17,"t","(6,2,2,2,2,2,1)",408408,281926,"lower bound",281926,408408],[3,17,"t","(6,3,2,2,1,1,1,1)",1570800,1074837,"lower bound",1074837,1570800],[3,17,"t","(6,3,2,2,2,1,1)",1905904,1197410,"lower bound",1197410,1905904],[3,17,"t","(6,3,2,2,2,2)",891072,542649,"lower bound",542649,891072],[3,17,"t","(6,3,3,1,1,1,1,1)",1047200,705145,"lower bound",705145,1047200],[3,17,"t","(6,3,3,2,1,1,1)",2552550,1526636,"lower bound",1526636,2552550],[3,17,"t","(6,3,3,2,2,1)",2475200,1407634,"lower bound",1407634,2475200],[3,17,"t","(6,3,3,3,1,1)",1591200,878389,"lower bound",878389,1591200],[3,17,"t","(6,3,3,3,2)",1089088,595135,"lower bound",595135,1089088],[3,17,"t","(6,4,2,1,1,1,1,1)",1454112,987217,"lower bound",987217,1454112],[3,17,"t","(6,4,2,2,1,1,1)",2858856,1694721,"lower bound",1694721,2858856],[3,17,"t","(6,4,2,2,2,1)",2598960,1442464,"lower bound",1442464,2598960],[3,17,"t","(6,4,3,1,1,1,1)",2431000,1419889,"lower bound",1419889,2431000],[3,17,"t","(6,4,3,2,1,1)",4873050,2598583,"lower bound",2598583,4873050],[3,17,"t","(6,4,3,2,2)",2722720,1415513,"lower bound",1415513,2722720],[3,17,"t","(6,4,3,3,1)",2362932,1209866,"lower bound",1209866,2362932],[3,17,"t","(6,4,4,1,1,1)",1591200,838355,"lower bound",838355,1591200],[3,17,"t","(6,4,4,2,1)",2450448,1239374,"lower bound",1239374,2450448],[3,17,"t","(6,4,4,3)",816816,413168,"lower bound",413168,816816],[3,17,"t","(6,5,1,1,1,1,1,1)",399840,284919,"lower bound",284919,399840],[3,17,"t","(6,5,2,1,1,1,1)",1633632,978547,"lower bound",978547,1633632],[3,17,"t","(6,5,2,2,1,1)",2598960,1383223,"lower bound",1383223,2598960],[3,17,"t","(6,5,2,2,2)",1361360,693189,"lower bound",693189,1361360],[3,17,"t","(6,5,3,1,1,1)",2475200,1311232,"lower bound",1311232,2475200],[3,17,"t","(6,5,3,2,1)",3573570,1781334,"lower bound",1781334,3573570],[3,17,"t","(6,5,3,3)",972400,476757,"lower bound",476757,972400],[3,17,"t","(6,5,4,1,1)",1633632,832565,"lower bound",832565,1633632],[3,17,"t","(6,5,4,2)",1361360,680248,"lower bound",680248,1361360],[3,17,"t","(6,5,5,1)",388960,210774,"lower bound",210774,388960],[3,17,"t","(6,6,1,1,1,1,1)",259896,168089,"lower bound",168089,259896],[3,17,"t","(6,6,2,1,1,1)",891072,490282,"lower bound",490282,891072],[3,17,"t","(6,6,2,2,1)",1021020,511121,"lower bound",511121,1021020],[3,17,"t","(6,6,3,1,1)",1089088,557158,"lower bound",557158,1089088],[3,17,"t","(6,6,3,2)",850850,418482,"lower bound",418482,850850],[3,17,"t","(6,6,4,1)",544544,292532,"lower bound",292532,544544],[3,17,"t","(6,6,5)",87516,56999,"lower bound",56999,87516],[3,17,"t","(7,2,2,2,1,1,1,1)",486200,345808,"lower bound",345808,486200],[3,17,"t","(7,2,2,2,2,1,1)",565488,367491,"lower bound",367491,565488],[3,17,"t","(7,2,2,2,2,2)",259896,164026,"lower bound",164026,259896],[3,17,"t","(7,3,2,1,1,1,1,1)",972400,666289,"lower bound",666289,972400],[3,17,"t","(7,3,2,2,1,1,1)",1832600,1087082,"lower bound",1087082,1832600],[3,17,"t","(7,3,2,2,2,1)",1633632,908989,"lower bound",908989,1633632],[3,17,"t","(7,3,3,1,1,1,1)",1262250,723180,"lower bound",723180,1262250],[3,17,"t","(7,3,3,2,1,1)",2431000,1258742,"lower bound",1258742,2431000],[3,17,"t","(7,3,3,2,2)",1336608,674989,"lower bound",674989,1336608],[3,17,"t","(7,3,3,3,1)",1082900,527239,"lower bound",527239,1082900],[3,17,"t","(7,4,1,1,1,1,1,1)",466752,326672,"lower bound",326672,466752],[3,17,"t","(7,4,2,1,1,1,1)",1832600,1065616,"lower bound",1065616,1832600],[3,17,"t","(7,4,2,2,1,1)",2858856,1475103,"lower bound",1475103,2858856],[3,17,"t","(7,4,2,2,2)",1485120,737739,"lower bound",737739,1485120],[3,17,"t","(7,4,3,1,1,1)",2552550,1290016,"lower bound",1290016,2552550],[3,17,"t","(7,4,3,2,1)",3620864,1724688,"lower bound",1724688,3620864],[3,17,"t","(7,4,3,3)",952952,443983,"lower bound",443983,952952],[3,17,"t","(7,4,4,1,1)",1326000,638254,"lower bound",638254,1326000],[3,17,"t","(7,4,4,2)",1089088,515755,"lower bound",515755,1089088],[3,17,"t","(7,5,1,1,1,1,1)",565488,354181,"lower bound",354181,565488],[3,17,"t","(7,5,2,1,1,1)",1905904,1011406,"lower bound",1011406,1905904],[3,17,"t","(7,5,2,2,1)",2165800,1051390,"lower bound",1051390,2165800],[3,17,"t","(7,5,3,1,1)",2255526,1109826,"lower bound",1109826,2255526],[3,17,"t","(7,5,3,2)",1750320,832893,"lower bound",832893,1750320],[3,17,"t","(7,5,4,1)",1050192,544531,"lower bound",544531,1050192],[3,17,"t","(7,5,5)",136136,86294,"lower bound",86294,136136],[3,17,"t","(7,6,1,1,1,1)",408408,245192,"lower bound",245192,408408],[3,17,"t","(7,6,2,1,1)",1082900,570661,"lower bound",570661,1082900],[3,17,"t","(7,6,2,2)",680680,336299,"lower bound",336299,680680],[3,17,"t","(7,6,3,1)",918918,486256,"lower bound",486256,918918],[3,17,"t","(7,6,4)",243100,153401,"lower bound",153401,243100],[3,17,"t","(7,7,1,1,1)",148512,90438,"lower bound",90438,148512],[3,17,"t","(7,7,2,1)",272272,152615,"lower bound",152615,272272],[3,17,"t","(7,7,3)",121550,76065,"lower bound",76065,121550],[3,17,"t","(8,2,2,1,1,1,1,1)",272272,202835,"lower bound",202835,272272],[3,17,"t","(8,2,2,2,1,1,1)",466752,298402,"lower bound",298402,466752],[3,17,"t","(8,2,2,2,2,1)",399840,240322,"lower bound",240322,399840],[3,17,"t","(8,3,1,1,1,1,1,1)",272272,199938,"lower bound",199938,272272],[3,17,"t","(8,3,2,1,1,1,1)",972400,582622,"lower bound",582622,972400],[3,17,"t","(8,3,2,2,1,1)",1454112,770023,"lower bound",770023,1454112],[3,17,"t","(8,3,2,2,2)",742560,381569,"lower bound",381569,742560],[3,17,"t","(8,3,3,1,1,1)",1047200,526233,"lower bound",526233,1047200],[3,17,"t","(8,3,3,2,1)",1429428,675919,"lower bound",675919,1429428],[3,17,"t","(8,3,3,3)",346528,157653,"lower bound",157653,346528],[3,17,"t","(8,4,1,1,1,1,1)",486200,299215,"lower bound",299215,486200],[3,17,"t","(8,4,2,1,1,1)",1570800,809717,"lower bound",809717,1570800],[3,17,"t","(8,4,2,2,1)",1750320,833197,"lower bound",833197,1750320],[3,17,"t","(8,4,3,1,1)",1701700,801383,"lower bound",801383,1701700],[3,17,"t","(8,4,3,2)",1299480,597854,"lower bound",597854,1299480],[3,17,"t","(8,4,4,1)",618800,305164,"lower bound",305164,618800],[3,17,"t","(8,5,1,1,1,1)",523600,299284,"lower bound",299284,523600],[3,17,"t","(8,5,2,1,1)",1361360,685033,"lower bound",685033,1361360],[3,17,"t","(8,5,2,2)",848640,405544,"lower bound",405544,848640],[3,17,"t","(8,5,3,1)",1113840,563176,"lower bound",563176,1113840],[3,17,"t","(8,5,4)",272272,164137,"lower bound",164137,272272],[3,17,"t","(8,6,1,1,1)",340340,199023,"lower bound",199023,340340],[3,17,"t","(8,6,2,1)",618800,334595,"lower bound",334595,618800],[3,17,"t","(8,6,3)",272272,164154,"lower bound",164154,272272],[3,17,"t","(8,7,1,1)",123760,76721,"lower bound",76721,123760],[3,17,"t","(8,7,2)",116688,71588,"lower bound",71588,116688],[3,17,"t","(9,2,1,1,1,1,1,1)",85085,69087,"lower bound",69087,85085],[3,17,"t","(9,2,2,1,1,1,1)",233376,153026,"lower bound",153026,233376],[3,17,"t","(9,2,2,2,1,1)",318240,185553,"lower bound",185553,318240],[3,17,"t","(9,2,2,2,2)",157080,90354,"lower bound",90354,157080],[3,17,"t","(9,3,1,1,1,1,1)",238238,152635,"lower bound",152635,238238],[3,17,"t","(9,3,2,1,1,1)",700128,370463,"lower bound",370463,700128],[3,17,"t","(9,3,2,2,1)",749700,372119,"lower bound",372119,749700],[3,17,"t","(9,3,3,1,1)",586432,275598,"lower bound",275598,586432],[3,17,"t","(9,3,3,2)",433160,201690,"lower bound",201690,433160],[3,17,"t","(9,4,1,1,1,1)",364650,199784,"lower bound",199784,364650],[3,17,"t","(9,4,2,1,1)",908820,440143,"lower bound",440143,908820],[3,17,"t","(9,4,2,2)",556920,262087,"lower bound",262087,556920],[3,17,"t","(9,4,3,1)",680680,329470,"lower bound",329470,680680],[3,17,"t","(9,4,4)",129948,74122,"lower bound",74122,129948],[3,17,"t","(9,5,1,1,1)",327250,178023,"lower bound",178023,327250],[3,17,"t","(9,5,2,1)",583440,297670,"lower bound",297670,583440],[3,17,"t","(9,5,3)",247520,140840,"lower bound",140840,247520],[3,17,"t","(9,6,1,1)",170170,99423,"lower bound",99423,170170],[3,17,"t","(9,6,2)",159120,92458,"lower bound",92458,159120],[3,17,"t","(9,7,1)",46410,29767,"lower bound",29767,46410],[3,18,"t","(18)",1,0,"exact",0,0],[3,18,"t","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"t","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[3,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"t","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[3,18,"t","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[3,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[3,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[3,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[3,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[3,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[3,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[3,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[3,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[3,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[3,18,"t","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[3,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[3,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[3,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[3,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[3,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[3,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[3,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[3,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[3,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[3,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[3,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[3,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[3,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[3,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[3,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[3,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[3,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[3,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[3,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[3,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[3,18,"t","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[3,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[3,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[3,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[3,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[3,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[3,18,"t","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[3,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[3,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[3,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[3,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[3,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[3,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[3,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[3,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[3,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[3,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[3,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[3,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[3,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[3,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[3,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[3,18,"t","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[3,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[3,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[3,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[3,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[3,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[3,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[3,18,"t","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[3,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[3,18,"t","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[3,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[3,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[3,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[3,18,"t","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[3,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[3,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[3,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[3,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[3,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[3,18,"t","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[3,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[3,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[3,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[3,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[3,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[3,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[3,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[3,18,"t","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[3,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[3,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[3,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[3,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[3,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[3,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[3,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[3,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[3,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,18,"t","(17,1)",17,0,"exact",0,0],[3,18,"t","(16,2)",135,91,"upper bound",0,91],[3,18,"t","(16,1,1)",136,91,"upper bound",0,91],[3,18,"t","(15,3)",663,120,"lower bound",120,575],[3,18,"t","(15,1,1,1)",680,120,"lower bound",120,611],[3,18,"t","(15,2,1)",1344,240,"lower bound",240,1184],[3,18,"t","(14,4)",2244,869,"lower bound",869,2103],[3,18,"t","(14,1,1,1,1)",2380,1086,"lower bound",1086,2308],[3,18,"t","(14,2,2)",4641,1924,"lower bound",1924,4429],[3,18,"t","(9,9)",4862,3648,"lower bound",3648,4792],[3,18,"t","(13,5)",5508,3012,"lower bound",3012,5313],[3,18,"t","(13,1,1,1,1,1)",6188,4389,"lower bound",4389,6146],[3,18,"t","(14,3,1)",6885,2769,"lower bound",2769,6542],[3,18,"t","(14,2,1,1)",7020,2620,"lower bound",2620,6748],[3,18,"t","(12,6)",9996,6492,"lower bound",6492,9760],[3,18,"t","(10,8)",11934,8771,"lower bound",8771,11749],[3,18,"t","(12,1,1,1,1,1,1)",12376,10489,"lower bound",10489,12359],[3,18,"t","(11,7)",13260,9352,"lower bound",9352,13023],[3,18,"t","(11,1,1,1,1,1,1,1)",19448,17754,"lower bound",17754,19442],[3,18,"t","(10,2,1,1,1,1,1,1)",162162,126103,"lower bound",126103,162162],[3,18,"t","(10,2,2,1,1,1,1)",447525,284131,"lower bound",284131,447525],[3,18,"t","(10,2,2,2,1,1)",612612,350012,"lower bound",350012,612612],[3,18,"t","(10,2,2,2,2)",302940,170036,"lower bound",170036,302940],[3,18,"t","(10,3,1,1,1,1,1)",459459,284479,"lower bound",284479,459459],[3,18,"t","(10,3,2,1,1,1)",1357824,712287,"lower bound",712287,1357824],[3,18,"t","(10,3,2,2,1)",1458600,724861,"lower bound",724861,1458600],[3,18,"t","(10,3,3,1,1)",1145664,544873,"lower bound",544873,1145664],[3,18,"t","(10,3,3,2)",848232,400963,"lower bound",400963,848232],[3,18,"t","(10,4,1,1,1,1)",714714,382792,"lower bound",382792,714714],[3,18,"t","(10,4,2,1,1)",1790100,869535,"lower bound",869535,1790100],[3,18,"t","(10,4,2,2)",1099560,523985,"lower bound",523985,1099560],[3,18,"t","(10,4,3,1)",1349460,657351,"lower bound",657351,1349460],[3,18,"t","(10,4,4)",259896,143890,"lower bound",143890,259896],[3,18,"t","(10,5,1,1,1)",656370,346958,"lower bound",346958,656370],[3,18,"t","(10,5,2,1)",1175040,596197,"lower bound",596197,1175040],[3,18,"t","(10,5,3)",501228,277323,"lower bound",277323,501228],[3,18,"t","(10,6,1,1)",353430,199916,"lower bound",199916,353430],[3,18,"t","(10,6,2)",331500,188223,"lower bound",188223,331500],[3,18,"t","(10,7,1)",102102,63940,"lower bound",63940,102102],[3,18,"t","(11,2,1,1,1,1,1)",112320,76860,"lower bound",76860,112320],[3,18,"t","(11,2,2,1,1,1)",255255,143220,"lower bound",143220,255255],[3,18,"t","(11,2,2,2,1)",251328,134205,"lower bound",134205,251328],[3,18,"t","(11,3,1,1,1,1)",268515,145059,"lower bound",145059,268515],[3,18,"t","(11,3,2,1,1)",612612,297538,"lower bound",297538,612612],[3,18,"t","(11,3,2,2)",363528,176028,"lower bound",176028,363528],[3,18,"t","(11,3,3,1)",358020,171052,"lower bound",171052,358020],[3,18,"t","(11,4,1,1,1)",339456,167434,"lower bound",167434,339456],[3,18,"t","(11,4,2,1)",583440,280710,"lower bound",280710,583440],[3,18,"t","(11,4,3)",228480,119646,"lower bound",119646,228480],[3,18,"t","(11,5,1,1)",238680,123285,"lower bound",123285,238680],[3,18,"t","(11,5,2)",219912,116215,"lower bound",116215,219912],[3,18,"t","(11,6,1)",88128,51256,"lower bound",51256,88128],[3,18,"t","(12,2,1,1,1,1)",60060,35761,"lower bound",35761,60060],[3,18,"t","(12,2,2,1,1)",106029,54232,"lower bound",54232,106029],[3,18,"t","(12,2,2,2)",58344,29929,"lower bound",29929,58344],[3,18,"t","(12,3,1,1,1)",116025,56573,"lower bound",56573,116025],[3,18,"t","(12,3,2,1)",182784,87220,"lower bound",87220,182784],[3,18,"t","(12,3,3)",56100,28615,"lower bound",28615,56100],[3,18,"t","(12,4,1,1)",111384,53438,"lower bound",53438,111384],[3,18,"t","(12,4,2)",99144,49732,"lower bound",49732,99144],[3,18,"t","(12,5,1)",53040,28189,"lower bound",28189,53040],[3,18,"t","(13,2,1,1,1)",24192,12098,"lower bound",12098,24192],[3,18,"t","(13,2,2,1)",29835,14327,"lower bound",14327,29835],[3,18,"t","(13,3,1,1)",35343,16293,"lower bound",16293,35343],[3,18,"t","(13,3,2)",29172,14353,"lower bound",14353,29172],[3,18,"t","(13,4,1)",22848,11107,"lower bound",11107,22848],[3,18,"t","(3,3,2,2,2,2,2,2)",136136,117171,"lower bound",117171,136136],[3,18,"t","(3,3,3,2,2,2,2,1)",510510,424056,"lower bound",424056,510510],[3,18,"t","(3,3,3,3,2,2,1,1)",787644,643220,"lower bound",643220,787644],[3,18,"t","(3,3,3,3,2,2,2)",364650,293781,"lower bound",293781,364650],[3,18,"t","(3,3,3,3,3,1,1,1)",408408,331544,"lower bound",331544,408408],[3,18,"t","(3,3,3,3,3,2,1)",466752,372809,"lower bound",372809,466752],[3,18,"t","(3,3,3,3,3,3)",87516,69669,"lower bound",69669,87516],[3,18,"t","(4,2,2,2,2,2,2,2)",143208,120369,"lower bound",120369,143208],[3,18,"t","(4,3,2,2,2,2,2,1)",1131520,888727,"lower bound",888727,1131520],[3,18,"t","(4,3,3,2,2,2,1,1)",2923830,2216135,"lower bound",2216135,2923830],[3,18,"t","(4,3,3,2,2,2,2)",1312740,969966,"lower bound",969966,1312740],[3,18,"t","(4,3,3,3,2,1,1,1)",3055104,2279564,"lower bound",2279564,3055104],[3,18,"t","(4,3,3,3,2,2,1)",2756754,1986754,"lower bound",1986754,2756754],[3,18,"t","(4,3,3,3,3,1,1)",1575288,1126501,"lower bound",1126501,1575288],[3,18,"t","(4,3,3,3,3,2)",1021020,721456,"lower bound",721456,1021020],[3,18,"t","(4,4,2,2,2,2,1,1)",2148120,1574895,"lower bound",1574895,2148120],[3,18,"t","(4,4,2,2,2,2,2)",952952,676156,"lower bound",676156,952952],[3,18,"t","(4,4,3,2,2,1,1,1)",5012280,3588611,"lower bound",3588611,5012280],[3,18,"t","(4,4,3,2,2,2,1)",4200768,2862179,"lower bound",2862179,4200768],[3,18,"t","(4,4,3,3,1,1,1,1)",3007368,2135123,"lower bound",2135123,3007368],[3,18,"t","(4,4,3,3,2,1,1)",5250960,3518889,"lower bound",3518889,5250960],[3,18,"t","(4,4,3,3,2,2)",2756754,1806989,"lower bound",1806989,2756754],[3,18,"t","(4,4,3,3,3,1)",2042040,1333553,"lower bound",1333553,2042040],[3,18,"t","(4,4,4,2,1,1,1,1)",2598960,1818795,"lower bound",1818795,2598960],[3,18,"t","(4,4,4,2,2,1,1)",3675672,2400155,"lower bound",2400155,3675672],[3,18,"t","(4,4,4,2,2,2)",1823250,1157075,"lower bound",1157075,1823250],[3,18,"t","(4,4,4,3,1,1,1)",2858856,1853172,"lower bound",1853172,2858856],[3,18,"t","(4,4,4,3,2,1)",3734016,2349531,"lower bound",2349531,3734016],[3,18,"t","(4,4,4,3,3)",875160,550314,"lower bound",550314,875160],[3,18,"t","(4,4,4,4,1,1)",1021020,636495,"lower bound",636495,1021020],[3,18,"t","(4,4,4,4,2)",787644,490593,"lower bound",490593,787644],[3,18,"t","(5,2,2,2,2,2,2,1)",612612,476400,"lower bound",476400,612612],[3,18,"t","(5,3,2,2,2,2,1,1)",3403400,2473781,"lower bound",2473781,3403400],[3,18,"t","(5,3,2,2,2,2,2)",1503684,1061747,"lower bound",1061747,1503684],[3,18,"t","(5,3,3,2,2,1,1,1)",6432426,4512434,"lower bound",4512434,6432426],[3,18,"t","(5,3,3,2,2,2,1)",5346432,3582923,"lower bound",3582923,5346432],[3,18,"t","(5,3,3,3,1,1,1,1)",3646500,2520200,"lower bound",2520200,3646500],[3,18,"t","(5,3,3,3,2,1,1)",6265350,4093845,"lower bound",4093845,6265350],[3,18,"t","(5,3,3,3,2,2)",3267264,2091114,"lower bound",2091114,3267264],[3,18,"t","(5,3,3,3,3,1)",2362932,1498662,"lower bound",1498662,2362932],[3,18,"t","(5,4,2,2,2,1,1,1)",6126120,4215818,"lower bound",4215818,6126120],[3,18,"t","(5,4,2,2,2,2,1)",4950400,3224826,"lower bound",3224826,4950400],[3,18,"t","(5,4,3,2,1,1,1,1)",9801792,6619416,"lower bound",6619416,9801792],[3,18,"t","(5,4,3,2,2,1,1)",13366080,8391495,"lower bound",8391495,13366080],[3,18,"t","(5,4,3,2,2,2)",6534528,3980385,"lower bound",3980385,6534528],[3,18,"t","(5,4,3,3,1,1,1)",8486400,5250545,"lower bound",5250545,8486400],[3,18,"t","(5,4,3,3,2,1)",10720710,6401626,"lower bound",6401626,10720710],[3,18,"t","(5,4,3,3,3)",2333760,1379001,"lower bound",1379001,2333760],[3,18,"t","(5,4,4,1,1,1,1,1)",2858856,1913526,"lower bound",1913526,2858856],[3,18,"t","(5,4,4,2,1,1,1)",8019648,4884258,"lower bound",4884258,8019648],[3,18,"t","(5,4,4,2,2,1)",8270262,4822001,"lower bound",4822001,8270262],[3,18,"t","(5,4,4,3,1,1)",7088796,4101464,"lower bound",4101464,7088796],[3,18,"t","(5,4,4,3,2)",5105100,2925579,"lower bound",2925579,5105100],[3,18,"t","(5,4,4,4,1)",1867008,1065648,"lower bound",1065648,1867008],[3,18,"t","(5,5,2,2,1,1,1,1)",3978000,2655830,"lower bound",2655830,3978000],[3,18,"t","(5,5,2,2,2,1,1)",5012280,3070389,"lower bound",3070389,5012280],[3,18,"t","(5,5,2,2,2,2)",2382380,1404879,"lower bound",1404879,2382380],[3,18,"t","(5,5,3,1,1,1,1,1)",3508596,2333366,"lower bound",2333366,3508596],[3,18,"t","(5,5,3,2,1,1,1)",9165312,5491569,"lower bound",5491569,9165312],[3,18,"t","(5,5,3,2,2,1)",9189180,5228376,"lower bound",5228376,9189180],[3,18,"t","(5,5,3,3,1,1)",6534528,3672976,"lower bound",3672976,6534528],[3,18,"t","(5,5,3,3,2)",4594590,2540627,"lower bound",2540627,4594590],[3,18,"t","(5,5,4,1,1,1,1)",3508596,2085123,"lower bound",2085123,3508596],[3,18,"t","(5,5,4,2,1,1)",7876440,4376609,"lower bound",4376609,7876440],[3,18,"t","(5,5,4,2,2)",4594590,2499152,"lower bound",2499152,4594590],[3,18,"t","(5,5,4,3,1)",5105100,2771659,"lower bound",2771659,5105100],[3,18,"t","(5,5,4,4)",787644,429736,"lower bound",429736,787644],[3,18,"t","(5,5,5,1,1,1)",1429428,788206,"lower bound",788206,1429428],[3,18,"t","(5,5,5,2,1)",2333760,1245776,"lower bound",1245776,2333760],[3,18,"t","(5,5,5,3)",875160,467509,"lower bound",467509,875160],[3,18,"t","(6,2,2,2,2,2,1,1)",1272348,923535,"lower bound",923535,1272348],[3,18,"t","(6,2,2,2,2,2,2)",556920,393399,"lower bound",393399,556920],[3,18,"t","(6,3,2,2,2,1,1,1)",5361664,3637584,"lower bound",3637584,5361664],[3,18,"t","(6,3,2,2,2,2,1)",4288284,2766503,"lower bound",2766503,4288284],[3,18,"t","(6,3,3,2,1,1,1,1)",6872250,4509510,"lower bound",4509510,6872250],[3,18,"t","(6,3,3,2,2,1,1)",9189180,5610569,"lower bound",5610569,9189180],[3,18,"t","(6,3,3,2,2,2)",4455360,2644715,"lower bound",2644715,4455360],[3,18,"t","(6,3,3,3,1,1,1)",5469750,3257070,"lower bound",3257070,5469750],[3,18,"t","(6,3,3,3,2,1)",6789120,3897447,"lower bound",3897447,6789120],[3,18,"t","(6,3,3,3,3)",1429428,806114,"lower bound",806114,1429428],[3,18,"t","(6,4,2,2,1,1,1,1)",7634088,4980563,"lower bound",4980563,7634088],[3,18,"t","(6,4,2,2,2,1,1)",9529520,5717022,"lower bound",5717022,9529520],[3,18,"t","(6,4,2,2,2,2)",4511052,2612594,"lower bound",2612594,4511052],[3,18,"t","(6,4,3,1,1,1,1,1)",6361740,4109091,"lower bound",4109091,6361740],[3,18,"t","(6,4,3,2,1,1,1)",16336320,9489613,"lower bound",9489613,16336320],[3,18,"t","(6,4,3,2,2,1)",16243500,8970280,"lower bound",8970280,16243500],[3,18,"t","(6,4,3,3,1,1)",11277630,6111806,"lower bound",6111806,11277630],[3,18,"t","(6,4,3,3,2)",7876440,4200587,"lower bound",4200587,7876440],[3,18,"t","(6,4,4,1,1,1,1)",5105100,2923404,"lower bound",2923404,5105100],[3,18,"t","(6,4,4,2,1,1)",11277630,6024469,"lower bound",6024469,11277630],[3,18,"t","(6,4,4,2,2)",6534528,3417956,"lower bound",3417956,6534528],[3,18,"t","(6,4,4,3,1)",7088796,3682480,"lower bound",3682480,7088796],[3,18,"t","(6,4,4,4)",1021020,530516,"lower bound",530516,1021020],[3,18,"t","(6,5,2,1,1,1,1,1)",4230144,2772161,"lower bound",2772161,4230144],[3,18,"t","(6,5,2,2,1,1,1)",8576568,4967055,"lower bound",4967055,8576568],[3,18,"t","(6,5,2,2,2,1)",7920640,4296274,"lower bound",4296274,7920640],[3,18,"t","(6,5,3,1,1,1,1)",7876440,4524716,"lower bound",4524716,7876440],[3,18,"t","(6,5,3,2,1,1)",16243500,8590545,"lower bound",8590545,16243500],[3,18,"t","(6,5,3,2,2)",9189180,4718755,"lower bound",4718755,9189180],[3,18,"t","(6,5,3,3,1)",8270262,4199792,"lower bound",4199792,8270262],[3,18,"t","(6,5,4,1,1,1)",6789120,3587067,"lower bound",3587067,6789120],[3,18,"t","(6,5,4,2,1)",10720710,5440885,"lower bound",5440885,10720710],[3,18,"t","(6,5,4,3)",3734016,1882561,"lower bound",1882561,3734016],[3,18,"t","(6,5,5,1,1)",2362932,1226630,"lower bound",1226630,2362932],[3,18,"t","(6,5,5,2)",2042040,1046143,"lower bound",1046143,2042040],[3,18,"t","(6,6,1,1,1,1,1,1)",659736,453008,"lower bound",453008,659736],[3,18,"t","(6,6,2,1,1,1,1)",2784600,1636918,"lower bound",1636918,2784600],[3,18,"t","(6,6,2,2,1,1)",4511052,2384626,"lower bound",2384626,4511052],[3,18,"t","(6,6,2,2,2)",2382380,1204310,"lower bound",1204310,2382380],[3,18,"t","(6,6,3,1,1,1)",4455360,2358672,"lower bound",2358672,4455360],[3,18,"t","(6,6,3,2,1)",6534528,3268095,"lower bound",3268095,6534528],[3,18,"t","(6,6,3,3)",1823250,895239,"lower bound",895239,1823250],[3,18,"t","(6,6,4,1,1)",3267264,1682255,"lower bound",1682255,3267264],[3,18,"t","(6,6,4,2)",2756754,1391262,"lower bound",1391262,2756754],[3,18,"t","(6,6,5,1)",1021020,560305,"lower bound",560305,1021020],[3,18,"t","(6,6,6)",87516,56999,"lower bound",56999,87516],[3,18,"t","(7,2,2,2,2,1,1,1)",1575288,1092603,"lower bound",1092603,1575288],[3,18,"t","(7,2,2,2,2,2,1)",1233792,813443,"lower bound",813443,1233792],[3,18,"t","(7,3,2,2,1,1,1,1)",4862000,3174016,"lower bound",3174016,4862000],[3,18,"t","(7,3,2,2,2,1,1)",5937624,3560972,"lower bound",3560972,5937624],[3,18,"t","(7,3,2,2,2,2)",2784600,1615664,"lower bound",1615664,2784600],[3,18,"t","(7,3,3,1,1,1,1,1)",3281850,2094614,"lower bound",2094614,3281850],[3,18,"t","(7,3,3,2,1,1,1)",8078400,4595640,"lower bound",4595640,8078400],[3,18,"t","(7,3,3,2,2,1)",7876440,4250354,"lower bound",4250354,7876440],[3,18,"t","(7,3,3,3,1,1)",5105100,2664370,"lower bound",2664370,5105100],[3,18,"t","(7,3,3,3,2)",3508596,1797363,"lower bound",1797363,3508596],[3,18,"t","(7,4,2,1,1,1,1,1)",4725864,3045794,"lower bound",3045794,4725864],[3,18,"t","(7,4,2,2,1,1,1)",9382912,5322522,"lower bound",5322522,9382912],[3,18,"t","(7,4,2,2,2,1)",8576568,4564295,"lower bound",4564295,8576568],[3,18,"t","(7,4,3,1,1,1,1)",8078400,4498701,"lower bound",4498701,8078400],[3,18,"t","(7,4,3,2,1,1)",16336320,8347132,"lower bound",8347132,16336320],[3,18,"t","(7,4,3,2,2)",9165312,4552929,"lower bound",4552929,9165312],[3,18,"t","(7,4,3,3,1)",8019648,3905776,"lower bound",3905776,8019648],[3,18,"t","(7,4,4,1,1,1)",5469750,2766625,"lower bound",2766625,5469750],[3,18,"t","(7,4,4,2,1)",8486400,4118071,"lower bound",4118071,8486400],[3,18,"t","(7,4,4,3)",2858856,1372906,"lower bound",1372906,2858856],[3,18,"t","(7,5,1,1,1,1,1,1)",1432080,965772,"lower bound",965772,1432080],[3,18,"t","(7,5,2,1,1,1,1)",5937624,3409750,"lower bound",3409750,5937624],[3,18,"t","(7,5,2,2,1,1)",9529520,4921122,"lower bound",4921122,9529520],[3,18,"t","(7,5,2,2,2)",5012280,2482318,"lower bound",2482318,5012280],[3,18,"t","(7,5,3,1,1,1)",9189180,4722480,"lower bound",4722480,9189180],[3,18,"t","(7,5,3,2,1)",13366080,6500131,"lower bound",6500131,13366080],[3,18,"t","(7,5,3,3)",3675672,1753633,"lower bound",1753633,3675672],[3,18,"t","(7,5,4,1,1)",6265350,3125176,"lower bound",3125176,6265350],[3,18,"t","(7,5,4,2)",5250960,2573427,"lower bound",2573427,5250960],[3,18,"t","(7,5,5,1)",1575288,841599,"lower bound",841599,1575288],[3,18,"t","(7,6,1,1,1,1,1)",1233792,767462,"lower bound",767462,1233792],[3,18,"t","(7,6,2,1,1,1)",4288284,2317541,"lower bound",2317541,4288284],[3,18,"t","(7,6,2,2,1)",4950400,2469471,"lower bound",2469471,4950400],[3,18,"t","(7,6,3,1,1)",5346432,2723901,"lower bound",2723901,5346432],[3,18,"t","(7,6,3,2)",4200768,2073930,"lower bound",2073930,4200768],[3,18,"t","(7,6,4,1)",2756754,1476720,"lower bound",1476720,2756754],[3,18,"t","(7,6,5)",466752,296694,"lower bound",296694,466752],[3,18,"t","(7,7,1,1,1,1)",556920,335630,"lower bound",335630,556920],[3,18,"t","(7,7,2,1,1)",1503684,813714,"lower bound",813714,1503684],[3,18,"t","(7,7,2,2)",952952,488914,"lower bound",488914,952952],[3,18,"t","(7,7,3,1)",1312740,714936,"lower bound",714936,1312740],[3,18,"t","(7,7,4)",364650,229466,"lower bound",229466,364650],[3,18,"t","(8,2,2,2,1,1,1,1)",1225224,847045,"lower bound",847045,1225224],[3,18,"t","(8,2,2,2,2,1,1)",1432080,906215,"lower bound",906215,1432080],[3,18,"t","(8,2,2,2,2,2)",659736,404348,"lower bound",404348,659736],[3,18,"t","(8,3,2,1,1,1,1,1)",2489344,1651684,"lower bound",1651684,2489344],[3,18,"t","(8,3,2,2,1,1,1)",4725864,2738129,"lower bound",2738129,4725864],[3,18,"t","(8,3,2,2,2,1)",4230144,2300903,"lower bound",2300903,4230144],[3,18,"t","(8,3,3,1,1,1,1)",3281850,1832035,"lower bound",1832035,3281850],[3,18,"t","(8,3,3,2,1,1)",6361740,3230917,"lower bound",3230917,6361740],[3,18,"t","(8,3,3,2,2)",3508596,1732477,"lower bound",1732477,3508596],[3,18,"t","(8,3,3,3,1)",2858856,1360811,"lower bound",1360811,2858856],[3,18,"t","(8,4,1,1,1,1,1,1)",1225224,825825,"lower bound",825825,1225224],[3,18,"t","(8,4,2,1,1,1,1)",4862000,2757170,"lower bound",2757170,4862000],[3,18,"t","(8,4,2,2,1,1)",7634088,3888040,"lower bound",3888040,7634088],[3,18,"t","(8,4,2,2,2)",3978000,1952505,"lower bound",1952505,3978000],[3,18,"t","(8,4,3,1,1,1)",6872250,3427349,"lower bound",3427349,6872250],[3,18,"t","(8,4,3,2,1)",9801792,4633041,"lower bound",4633041,9801792],[3,18,"t","(8,4,3,3)",2598960,1199490,"lower bound",1199490,2598960],[3,18,"t","(8,4,4,1,1)",3646500,1744801,"lower bound",1744801,3646500],[3,18,"t","(8,4,4,2)",3007368,1418773,"lower bound",1418773,3007368],[3,18,"t","(8,5,1,1,1,1,1)",1575288,952680,"lower bound",952680,1575288],[3,18,"t","(8,5,2,1,1,1)",5361664,2805440,"lower bound",2805440,5361664],[3,18,"t","(8,5,2,2,1)",6126120,2975164,"lower bound",2975164,6126120],[3,18,"t","(8,5,3,1,1)",6432426,3159418,"lower bound",3159418,6432426],[3,18,"t","(8,5,3,2)",5012280,2399467,"lower bound",2399467,5012280],[3,18,"t","(8,5,4,1)",3055104,1577008,"lower bound",1577008,3055104],[3,18,"t","(8,5,5)",408408,250431,"lower bound",250431,408408],[3,18,"t","(8,6,1,1,1,1)",1272348,743499,"lower bound",743499,1272348],[3,18,"t","(8,6,2,1,1)",3403400,1789312,"lower bound",1789312,3403400],[3,18,"t","(8,6,2,2)",2148120,1076438,"lower bound",1076438,2148120],[3,18,"t","(8,6,3,1)",2923830,1548181,"lower bound",1548181,2923830],[3,18,"t","(8,6,4)",787644,481692,"lower bound",481692,787644],[3,18,"t","(8,7,1,1,1)",612612,366182,"lower bound",366182,612612],[3,18,"t","(8,7,2,1)",1131520,635519,"lower bound",635519,1131520],[3,18,"t","(8,7,3)",510510,311807,"lower bound",311807,510510],[3,18,"t","(8,8,1,1)",143208,89697,"lower bound",89697,143208],[3,18,"t","(8,8,2)",136136,84564,"lower bound",84564,136136],[3,18,"t","(9,2,2,1,1,1,1,1)",590733,424948,"lower bound",424948,590733],[3,18,"t","(9,2,2,2,1,1,1)",1018368,636981,"lower bound",636981,1018368],[3,18,"t","(9,2,2,2,2,1)",875160,516229,"lower bound",516229,875160],[3,18,"t","(9,3,1,1,1,1,1,1)",595595,421660,"lower bound",421660,595595],[3,18,"t","(9,3,2,1,1,1,1)",2144142,1258746,"lower bound",1258746,2144142],[3,18,"t","(9,3,2,2,1,1)",3222180,1698158,"lower bound",1698158,3222180],[3,18,"t","(9,3,2,2,2)",1649340,844042,"lower bound",844042,1649340],[3,18,"t","(9,3,3,1,1,1)",2333760,1172294,"lower bound",1172294,2333760],[3,18,"t","(9,3,3,2,1)",3198720,1525326,"lower bound",1525326,3198720],[3,18,"t","(9,3,3,3)",779688,359343,"lower bound",359343,779688],[3,18,"t","(9,4,1,1,1,1,1)",1089088,651634,"lower bound",651634,1089088],[3,18,"t","(9,4,2,1,1,1)",3544398,1820107,"lower bound",1820107,3544398],[3,18,"t","(9,4,2,2,1)",3965760,1907546,"lower bound",1907546,3965760],[3,18,"t","(9,4,3,1,1)",3877632,1846594,"lower bound",1846594,3877632],[3,18,"t","(9,4,3,2)",2970240,1391101,"lower bound",1391101,2970240],[3,18,"t","(9,4,4,1)",1429428,708756,"lower bound",708756,1429428],[3,18,"t","(9,5,1,1,1,1)",1215500,677091,"lower bound",677091,1215500],[3,18,"t","(9,5,2,1,1)",3180870,1600869,"lower bound",1600869,3180870],[3,18,"t","(9,5,2,2)",1989000,965301,"lower bound",965301,1989000],[3,18,"t","(9,5,3,1)",2625480,1331156,"lower bound",1331156,2625480],[3,18,"t","(9,5,4)",649740,379099,"lower bound",379099,649740],[3,18,"t","(9,6,1,1,1)",837760,476469,"lower bound",476469,837760],[3,18,"t","(9,6,2,1)",1531530,824146,"lower bound",824146,1531530],[3,18,"t","(9,6,3)",678912,397452,"lower bound",397452,678912],[3,18,"t","(9,7,1,1)",340340,205911,"lower bound",205911,340340],[3,18,"t","(9,7,2)",322218,193813,"lower bound",193813,322218],[3,18,"t","(9,8,1)",70720,46391,"lower bound",46391,70720],[3,19,"t","(18,1)",18,0,"exact",0,0],[3,19,"t","(17,2)",152,105,"upper bound",0,105],[3,19,"t","(17,1,1)",153,105,"upper bound",0,105],[3,19,"t","(16,3)",798,120,"lower bound",120,703],[3,19,"t","(16,1,1,1)",816,120,"lower bound",120,742],[3,19,"t","(16,2,1)",1615,240,"lower bound",240,1443],[3,19,"t","(15,4)",2907,989,"lower bound",989,2753],[3,19,"t","(15,1,1,1,1)",3060,1206,"lower bound",1206,2983],[3,19,"t","(15,2,2)",5985,2164,"lower bound",2164,5756],[3,19,"t","(14,5)",7752,3881,"lower bound",3881,7533],[3,19,"t","(14,1,1,1,1,1)",8568,5475,"lower bound",5475,8522],[3,19,"t","(15,3,1)",8892,3129,"lower bound",3129,8518],[3,19,"t","(15,2,1,1)",9044,2980,"lower bound",2980,8749],[3,19,"t","(13,6)",15504,9504,"lower bound",9504,15237],[3,19,"t","(10,9)",16796,12419,"lower bound",12419,16641],[3,19,"t","(13,1,1,1,1,1,1)",18564,14878,"lower bound",14878,18545],[3,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,19,"t","(19)",1,0,"exact",0,0],[3,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[3,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[3,20,"t","(19,1)",19,0,"exact",0,0],[3,20,"t","(18,2)",170,120,"upper bound",0,120],[3,20,"t","(18,1,1)",171,120,"upper bound",0,120],[3,20,"t","(17,3)",950,120,"lower bound",120,848],[3,20,"t","(17,1,1,1)",969,120,"lower bound",120,890],[3,20,"t","(17,2,1)",1920,240,"lower bound",240,1736],[3,20,"t","(16,4)",3705,1109,"lower bound",1109,3537],[3,20,"t","(16,1,1,1,1)",3876,1326,"lower bound",1326,3793],[3,20,"t","(16,2,2)",7600,2404,"lower bound",2404,7352],[3,20,"t","(15,5)",10659,4870,"lower bound",4870,10417],[3,20,"t","(16,3,1)",11305,3489,"lower bound",3489,10901],[3,20,"t","(16,2,1,1)",11475,3340,"lower bound",3340,11158],[3,20,"t","(15,1,1,1,1,1)",11628,6681,"lower bound",6681,11579],[3,20,"t","(10,10)",16796,12419,"lower bound",12419,16701],[3,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[3,20,"t","(20)",1,0,"exact",0,0],[3,21,"t","(20,1)",20,0,"exact",0,0],[3,21,"t","(19,2)",189,136,"upper bound",0,136],[3,21,"t","(19,1,1)",190,136,"upper bound",0,136],[3,21,"t","(18,3)",1120,120,"lower bound",120,1011],[3,21,"t","(18,1,1,1)",1140,120,"lower bound",120,1056],[3,21,"t","(18,2,1)",2261,240,"lower bound",240,2065],[3,21,"t","(17,4)",4655,1229,"lower bound",1229,4474],[3,21,"t","(17,1,1,1,1)",4845,1446,"lower bound",1446,4757],[3,21,"t","(17,2,2)",9520,2644,"lower bound",2644,9255],[3,21,"t","(17,3,1)",14175,3849,"lower bound",3849,13741],[3,21,"t","(16,5)",14364,5979,"lower bound",5979,14102],[3,21,"t","(17,2,1,1)",14364,3700,"lower bound",3700,14024],[3,21,"t","(16,1,1,1,1,1)",15504,8007,"lower bound",8007,15451],[3,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,21,"t","(21)",1,0,"exact",0,0],[3,22,"t","(21,1)",21,0,"exact",0,0],[3,22,"t","(20,2)",209,153,"upper bound",0,153],[3,22,"t","(20,1,1)",210,153,"upper bound",0,153],[3,22,"t","(19,3)",1309,120,"lower bound",120,1193],[3,22,"t","(19,1,1,1)",1330,120,"lower bound",120,1241],[3,22,"t","(19,2,1)",2640,240,"lower bound",240,2432],[3,22,"t","(18,4)",5775,1349,"lower bound",1349,5580],[3,22,"t","(18,1,1,1,1)",5985,1566,"lower bound",1566,5891],[3,22,"t","(18,2,2)",11781,2884,"lower bound",2884,11497],[3,22,"t","(18,3,1)",17556,4209,"lower bound",4209,17093],[3,22,"t","(18,2,1,1)",17765,4060,"lower bound",4060,17403],[3,22,"t","(17,5)",19019,7208,"lower bound",7208,18734],[3,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,22,"t","(22)",1,0,"exact",0,0],[3,23,"t","(22,1)",22,0,"exact",0,0],[3,23,"t","(21,2)",230,171,"upper bound",0,171],[3,23,"t","(21,1,1)",231,171,"upper bound",0,171],[3,23,"t","(20,3)",1518,120,"lower bound",120,1395],[3,23,"t","(20,1,1,1)",1540,120,"lower bound",120,1446],[3,23,"t","(20,2,1)",3059,240,"lower bound",240,2839],[3,23,"t","(19,4)",7084,1469,"lower bound",1469,6876],[3,23,"t","(19,1,1,1,1)",7315,1686,"lower bound",1686,7216],[3,23,"t","(19,2,2)",14421,3124,"lower bound",3124,14120],[3,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,23,"t","(23)",1,0,"exact",0,0],[3,24,"t","(23,1)",23,0,"exact",0,0],[3,24,"t","(22,2)",252,190,"upper bound",0,190],[3,24,"t","(22,1,1)",253,190,"upper bound",0,190],[3,24,"t","(21,3)",1748,120,"lower bound",120,1618],[3,24,"t","(21,1,1,1)",1771,120,"lower bound",120,1672],[3,24,"t","(21,2,1)",3520,240,"lower bound",240,3288],[3,24,"t","(20,4)",8602,1589,"lower bound",1589,8380],[3,24,"t","(20,1,1,1,1)",8855,1806,"lower bound",1806,8750],[3,24,"t","(20,2,2)",17480,3364,"lower bound",3364,17160],[3,24,"t","(24)",1,0,"exact",0,0],[3,25,"t","(24,1)",24,0,"exact",0,0],[3,25,"t","(23,2)",275,210,"upper bound",0,210],[3,25,"t","(23,1,1)",276,210,"upper bound",0,210],[3,25,"t","(22,3)",2000,120,"lower bound",120,1863],[3,25,"t","(22,1,1,1)",2024,120,"lower bound",120,1920],[3,25,"t","(22,2,1)",4025,240,"lower bound",240,3781],[3,25,"t","(21,4)",10350,1709,"lower bound",1709,10115],[3,25,"t","(21,1,1,1,1)",10626,1926,"lower bound",1926,10516],[3,25,"t","(25)",1,0,"exact",0,0],[3,26,"t","(25,1)",25,0,"exact",0,0],[3,26,"t","(24,2)",299,231,"upper bound",0,231],[3,26,"t","(24,1,1)",300,231,"upper bound",0,231],[3,26,"t","(23,3)",2275,120,"lower bound",120,2131],[3,26,"t","(23,1,1,1)",2300,120,"lower bound",120,2191],[3,26,"t","(23,2,1)",4576,240,"lower bound",240,4320],[3,26,"t","(22,4)",12350,1829,"lower bound",1829,12101],[3,26,"t","(22,1,1,1,1)",12650,2046,"lower bound",2046,12534],[3,26,"t","(26)",1,0,"exact",0,0],[3,27,"t","(26,1)",26,0,"exact",0,0],[3,27,"t","(25,2)",324,253,"upper bound",0,253],[3,27,"t","(25,1,1)",325,253,"upper bound",0,253],[3,27,"t","(24,3)",2574,120,"lower bound",120,2423],[3,27,"t","(24,1,1,1)",2600,120,"lower bound",120,2486],[3,27,"t","(24,2,1)",5175,240,"lower bound",240,4907],[3,27,"t","(23,4)",14625,1949,"lower bound",1949,14367],[3,27,"t","(23,1,1,1,1)",14950,2166,"lower bound",2166,14829],[3,27,"t","(27)",1,0,"exact",0,0],[3,28,"t","(27,1)",27,0,"exact",0,0],[3,28,"t","(26,2)",350,276,"upper bound",0,276],[3,28,"t","(26,1,1)",351,276,"upper bound",0,276],[3,28,"t","(25,3)",2898,120,"lower bound",120,2740],[3,28,"t","(25,1,1,1)",2925,120,"lower bound",120,2806],[3,28,"t","(25,2,1)",5824,240,"lower bound",240,5544],[3,28,"t","(24,4)",17199,2069,"lower bound",2069,16926],[3,28,"t","(24,1,1,1,1)",17550,2286,"lower bound",2286,17423],[3,28,"t","(28)",1,0,"exact",0,0],[3,29,"t","(28,1)",28,0,"exact",0,0],[3,29,"t","(27,2)",377,300,"upper bound",0,300],[3,29,"t","(27,1,1)",378,300,"upper bound",0,300],[3,29,"t","(26,3)",3248,120,"lower bound",120,3083],[3,29,"t","(26,1,1,1)",3276,120,"lower bound",120,3152],[3,29,"t","(26,2,1)",6525,240,"lower bound",240,6233],[3,29,"t","(29)",1,0,"exact",0,0],[3,30,"t","(29,1)",29,0,"exact",0,0],[3,30,"t","(28,2)",405,325,"upper bound",0,325],[3,30,"t","(28,1,1)",406,325,"upper bound",0,325],[3,30,"t","(27,3)",3625,120,"lower bound",120,3453],[3,30,"t","(27,1,1,1)",3654,120,"lower bound",120,3525],[3,30,"t","(27,2,1)",7280,240,"lower bound",240,6976],[3,30,"t","(30)",1,0,"exact",0,0],[3,31,"t","(30,1)",30,0,"exact",0,0],[3,31,"t","(29,2)",434,351,"upper bound",0,351],[3,31,"t","(29,1,1)",435,351,"upper bound",0,351],[3,31,"t","(28,3)",4030,120,"lower bound",120,3851],[3,31,"t","(28,1,1,1)",4060,120,"lower bound",120,3926],[3,31,"t","(28,2,1)",8091,240,"lower bound",240,7775],[3,1,"u","(1)",1,0,"exact",0,0],[3,2,"u","(2)",1,0,"exact",0,0],[3,2,"u","(1,1)",1,0,"exact",0,0],[3,3,"u","(3)",1,0,"exact",0,0],[3,3,"u","(2,1)",2,0,"exact",0,0],[3,3,"u","(1,1,1)",1,0,"exact",0,0],[3,4,"u","(4)",1,0,"exact",0,0],[3,4,"u","(3,1)",3,0,"exact",0,0],[3,4,"u","(2,2)",2,0,"exact",0,0],[3,4,"u","(2,1,1)",3,0,"exact",0,0],[3,4,"u","(1,1,1,1)",1,0,"exact",0,0],[3,5,"u","(5)",1,0,"exact",0,0],[3,5,"u","(4,1)",4,0,"exact",0,0],[3,5,"u","(3,2)",5,0,"exact",0,0],[3,5,"u","(3,1,1)",6,0,"exact",0,0],[3,5,"u","(2,2,1)",5,0,"exact",0,0],[3,5,"u","(2,1,1,1)",4,0,"exact",0,0],[3,5,"u","(1,1,1,1,1)",1,0,"exact",0,0],[3,6,"u","(6)",1,0,"exact",0,0],[3,6,"u","(5,1)",5,0,"exact",0,0],[3,6,"u","(4,2)",9,0,"exact",0,0],[3,6,"u","(4,1,1)",10,0,"exact",0,0],[3,6,"u","(3,3)",5,1,"exact",1,1],[3,6,"u","(3,2,1)",16,2,"exact",2,2],[3,6,"u","(3,1,1,1)",10,1,"exact",1,1],[3,6,"u","(2,2,2)",5,1,"exact",1,1],[3,6,"u","(2,2,1,1)",9,3,"exact",3,3],[3,6,"u","(2,1,1,1,1)",5,2,"exact",2,2],[3,6,"u","(1,1,1,1,1,1)",1,1,"exact",1,1],[3,7,"u","(7)",1,0,"exact",0,0],[3,7,"u","(6,1)",6,0,"exact",0,0],[3,7,"u","(5,2)",14,0,"exact",0,0],[3,7,"u","(5,1,1)",15,0,"exact",0,0],[3,7,"u","(4,3)",14,4,"exact",4,4],[3,7,"u","(4,2,1)",35,8,"exact",8,8],[3,7,"u","(4,1,1,1)",20,4,"exact",4,4],[3,7,"u","(3,3,1)",21,9,"exact",9,9],[3,7,"u","(3,2,2)",21,9,"exact",9,9],[3,7,"u","(3,2,1,1)",35,18,"exact",18,18],[3,7,"u","(3,1,1,1,1)",15,9,"exact",9,9],[3,7,"u","(2,2,2,1)",14,10,"exact",10,10],[3,7,"u","(2,2,1,1,1)",14,11,"exact",11,11],[3,7,"u","(2,1,1,1,1,1)",6,6,"exact",6,6],[3,7,"u","(1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,8,"u","(8)",1,0,"exact",0,0],[3,8,"u","(7,1)",7,0,"exact",0,0],[3,8,"u","(6,2)",20,0,"exact",0,0],[3,8,"u","(6,1,1)",21,0,"exact",0,0],[3,8,"u","(5,3)",28,10,"exact",10,10],[3,8,"u","(5,2,1)",64,20,"exact",20,20],[3,8,"u","(5,1,1,1)",35,10,"exact",10,10],[3,8,"u","(4,4)",14,7,"exact",7,7],[3,8,"u","(4,3,1)",70,39,"exact",39,39],[3,8,"u","(4,2,2)",56,32,"exact",32,32],[3,8,"u","(4,2,1,1)",90,57,"exact",57,57],[3,8,"u","(4,1,1,1,1)",35,25,"exact",25,25],[3,8,"u","(3,3,2)",42,30,"exact",30,30],[3,8,"u","(3,3,1,1)",56,42,"exact",42,42],[3,8,"u","(3,2,2,1)",70,58,"exact",58,58],[3,8,"u","(3,2,1,1,1)",64,56,"exact",56,56],[3,8,"u","(3,1,1,1,1,1)",21,21,"exact",21,21],[3,8,"u","(2,2,2,2)",14,13,"exact",13,13],[3,8,"u","(2,2,2,1,1)",28,27,"exact",27,27],[3,8,"u","(2,2,1,1,1,1)",20,20,"exact",20,20],[3,8,"u","(2,1,1,1,1,1,1)",7,7,"exact",7,7],[3,8,"u","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,9,"u","(9)",1,0,"exact",0,0],[3,9,"u","(8,1)",8,0,"exact",0,0],[3,9,"u","(7,2)",27,0,"exact",0,0],[3,9,"u","(7,1,1)",28,0,"exact",0,0],[3,9,"u","(6,3)",48,20,"exact",20,20],[3,9,"u","(6,2,1)",105,40,"exact",40,40],[3,9,"u","(6,1,1,1)",56,20,"exact",20,20],[3,9,"u","(5,4)",42,25,"exact",25,25],[3,9,"u","(5,3,1)",162,105,"exact",105,105],[3,9,"u","(5,2,2)",120,80,"exact",80,80],[3,9,"u","(5,2,1,1)",189,135,"exact",135,135],[3,9,"u","(5,1,1,1,1)",70,55,"exact",55,55],[3,9,"u","(4,4,1)",84,62,"exact",62,62],[3,9,"u","(4,3,2)",168,136,"exact",136,136],[3,9,"u","(4,3,1,1)",216,180,"exact",180,180],[3,9,"u","(4,2,2,1)",216,192,"exact",192,192],[3,9,"u","(4,2,1,1,1)",189,174,"exact",174,174],[3,9,"u","(4,1,1,1,1,1)",56,56,"exact",56,56],[3,9,"u","(3,3,3)",42,38,"exact",38,38],[3,9,"u","(3,3,2,1)",168,156,"exact",156,156],[3,9,"u","(3,3,1,1,1)",120,114,"exact",114,114],[3,9,"u","(3,2,2,2)",84,81,"exact",81,81],[3,9,"u","(3,2,2,1,1)",162,159,"exact",159,159],[3,9,"u","(3,2,1,1,1,1)",105,105,"exact",105,105],[3,9,"u","(3,1,1,1,1,1,1)",28,28,"exact",28,28],[3,9,"u","(2,2,2,2,1)",42,42,"exact",42,42],[3,9,"u","(2,2,2,1,1,1)",48,48,"exact",48,48],[3,9,"u","(2,2,1,1,1,1,1)",27,27,"exact",27,27],[3,9,"u","(2,1,1,1,1,1,1,1)",8,8,"exact",8,8],[3,9,"u","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"u","(10)",1,0,"exact",0,0],[3,10,"u","(9,1)",9,0,"exact",0,0],[3,10,"u","(8,2)",35,0,"exact",0,0],[3,10,"u","(8,1,1)",36,0,"exact",0,0],[3,10,"u","(7,3)",75,35,"exact",35,35],[3,10,"u","(7,2,1)",160,70,"exact",70,70],[3,10,"u","(7,1,1,1)",84,35,"exact",35,35],[3,10,"u","(6,4)",90,60,"exact",60,60],[3,10,"u","(6,3,1)",315,225,"exact",225,225],[3,10,"u","(6,2,2)",225,165,"exact",165,165],[3,10,"u","(6,2,1,1)",350,270,"exact",270,270],[3,10,"u","(6,1,1,1,1)",126,105,"exact",105,105],[3,10,"u","(5,5)",42,31,"exact",31,31],[3,10,"u","(5,4,1)",288,234,"exact",234,234],[3,10,"u","(5,3,2)",450,390,"exact",390,390],[3,10,"u","(5,3,1,1)",567,501,"exact",501,501],[3,10,"u","(5,2,2,1)",525,485,"exact",485,485],[3,10,"u","(5,2,1,1,1)",448,424,"exact",424,424],[3,10,"u","(5,1,1,1,1,1)",126,126,"exact",126,126],[3,10,"u","(4,4,2)",252,228,"exact",228,228],[3,10,"u","(4,4,1,1)",300,275,"exact",275,275],[3,10,"u","(4,3,3)",210,198,"exact",198,198],[3,10,"u","(4,3,2,1)",768,736,"exact",736,736],[3,10,"u","(4,3,1,1,1)",525,510,"exact",510,510],[3,10,"u","(4,2,2,2)",300,294,"exact",294,294],[3,10,"u","(4,2,2,1,1)",567,561,"exact",561,561],[3,10,"u","(4,2,1,1,1,1)",350,350,"exact",350,350],[3,10,"u","(4,1,1,1,1,1,1)",84,84,"exact",84,84],[3,10,"u","(3,3,3,1)",210,206,"exact",206,206],[3,10,"u","(3,3,2,2)",252,249,"exact",249,249],[3,10,"u","(3,3,2,1,1)",450,447,"exact",447,447],[3,10,"u","(3,3,1,1,1,1)",225,225,"exact",225,225],[3,10,"u","(3,2,2,2,1)",288,288,"exact",288,288],[3,10,"u","(3,2,2,1,1,1)",315,315,"exact",315,315],[3,10,"u","(3,2,1,1,1,1,1)",160,160,"exact",160,160],[3,10,"u","(3,1,1,1,1,1,1,1)",36,36,"exact",36,36],[3,10,"u","(2,2,2,2,2)",42,42,"exact",42,42],[3,10,"u","(2,2,2,2,1,1)",90,90,"exact",90,90],[3,10,"u","(2,2,2,1,1,1,1)",75,75,"exact",75,75],[3,10,"u","(2,2,1,1,1,1,1,1)",35,35,"exact",35,35],[3,10,"u","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[3,10,"u","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,11,"u","(11)",1,0,"exact",0,0],[3,11,"u","(10,1)",10,0,"exact",0,0],[3,11,"u","(9,2)",44,0,"exact",0,0],[3,11,"u","(9,1,1)",45,0,"exact",0,0],[3,11,"u","(8,3)",110,56,"exact",56,56],[3,11,"u","(8,2,1)",231,112,"exact",112,112],[3,11,"u","(8,1,1,1)",120,56,"exact",56,56],[3,11,"u","(7,4)",165,119,"exact",119,119],[3,11,"u","(7,3,1)",550,420,"exact",420,420],[3,11,"u","(7,2,2)",385,301,"exact",301,301],[3,11,"u","(7,2,1,1)",594,483,"exact",483,483],[3,11,"u","(7,1,1,1,1)",210,182,"exact",182,182],[3,11,"u","(6,5)",132,106,"exact",106,106],[3,11,"u","(6,4,1)",693,597,"exact",597,597],[3,11,"u","(6,3,2)",990,894,"exact",894,894],[3,11,"u","(6,3,1,1)",1232,1128,"exact",1128,1128],[3,11,"u","(6,2,2,1)",1100,1040,"exact",1040,1040],[3,11,"u","(6,2,1,1,1)",924,889,"exact",889,889],[3,11,"u","(6,1,1,1,1,1)",252,252,"exact",252,252],[3,11,"u","(5,5,1)",330,295,"exact",295,295],[3,11,"u","(5,4,2)",990,930,"exact",930,930],[3,11,"u","(5,4,1,1)",1155,1094,"exact",1094,1094],[3,11,"u","(5,3,3)",660,636,"exact",636,636],[3,11,"u","(5,3,2,1)",2310,2250,"exact",2250,2250],[3,11,"u","(5,3,1,1,1)",1540,1513,"exact",1513,1513],[3,11,"u","(5,2,2,2)",825,815,"exact",815,815],[3,11,"u","(5,2,2,1,1)",1540,1530,"exact",1530,1530],[3,11,"u","(5,2,1,1,1,1)",924,924,"exact",924,924],[3,11,"u","(5,1,1,1,1,1,1)",210,210,"exact",210,210],[3,11,"u","(4,4,3)",462,450,"exact",450,450],[3,11,"u","(4,4,2,1)",1320,1296,"exact",1296,1296],[3,11,"u","(4,4,1,1,1)",825,815,"exact",815,815],[3,11,"u","(4,3,3,1)",1188,1176,"exact",1176,1176],[3,11,"u","(4,3,2,2)",1320,1312,"exact",1312,1312],[3,11,"u","(4,3,2,1,1)",2310,2302,"exact",2302,2302],[3,11,"u","(4,3,1,1,1,1)",1100,1100,"exact",1100,1100],[3,11,"u","(4,2,2,2,1)",1155,1155,"exact",1155,1155],[3,11,"u","(4,2,2,1,1,1)",1232,1232,"exact",1232,1232],[3,11,"u","(4,2,1,1,1,1,1)",594,594,"exact",594,594],[3,11,"u","(4,1,1,1,1,1,1,1)",120,120,"exact",120,120],[3,11,"u","(3,3,3,2)",462,461,"exact",461,461],[3,11,"u","(3,3,3,1,1)",660,659,"exact",659,659],[3,11,"u","(3,3,2,2,1)",990,990,"exact",990,990],[3,11,"u","(3,3,2,1,1,1)",990,990,"exact",990,990],[3,11,"u","(3,3,1,1,1,1,1)",385,385,"exact",385,385],[3,11,"u","(3,2,2,2,2)",330,330,"exact",330,330],[3,11,"u","(3,2,2,2,1,1)",693,693,"exact",693,693],[3,11,"u","(3,2,2,1,1,1,1)",550,550,"exact",550,550],[3,11,"u","(3,2,1,1,1,1,1,1)",231,231,"exact",231,231],[3,11,"u","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[3,11,"u","(2,2,2,2,2,1)",132,132,"exact",132,132],[3,11,"u","(2,2,2,2,1,1,1)",165,165,"exact",165,165],[3,11,"u","(2,2,2,1,1,1,1,1)",110,110,"exact",110,110],[3,11,"u","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[3,11,"u","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[3,11,"u","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"u","(12)",1,0,"exact",0,0],[3,12,"u","(11,1)",11,0,"exact",0,0],[3,12,"u","(10,2)",54,0,"exact",0,0],[3,12,"u","(10,1,1)",55,0,"exact",0,0],[3,12,"u","(9,3)",154,84,"exact",84,84],[3,12,"u","(9,2,1)",320,168,"exact",168,168],[3,12,"u","(9,1,1,1)",165,84,"exact",84,84],[3,12,"u","(8,4)",275,210,"exact",210,210],[3,12,"u","(8,3,1)",891,714,"exact",714,714],[3,12,"u","(8,2,2)",616,504,"exact",504,504],[3,12,"u","(8,2,1,1)",945,798,"exact",798,798],[3,12,"u","(8,1,1,1,1)",330,294,"exact",294,294],[3,12,"u","(7,5)",297,252,"exact",252,252],[3,12,"u","(7,4,1)",1408,1260,"exact",1260,1260],[3,12,"u","(7,3,2)",1925,1785,"exact",1785,1785],[3,12,"u","(7,3,1,1)",2376,2226,"exact",2226,2226],[3,12,"u","(7,2,2,1)",2079,1995,"exact",1995,1995],[3,12,"u","(7,2,1,1,1)",1728,1680,"exact",1680,1680],[3,12,"u","(7,1,1,1,1,1)",462,462,"exact",462,462],[3,12,"u","(6,6)",132,116,"exact",116,116],[3,12,"u","(6,5,1)",1155,1072,"exact",1072,1072],[3,12,"u","(6,4,2)",2673,2565,"exact",2565,2565],[3,12,"u","(6,4,1,1)",3080,2972,"exact",2972,2972],[3,12,"u","(6,3,3)",1650,1610,"exact",1610,1610],[3,12,"u","(6,3,2,1)",5632,5536,"exact",5536,5536],[3,12,"u","(6,3,1,1,1)",3696,3654,"exact",3654,3654],[3,12,"u","(6,2,2,2)",1925,1910,"exact",1910,1910],[3,12,"u","(6,2,2,1,1)",3564,3549,"exact",3549,3549],[3,12,"u","(6,2,1,1,1,1)",2100,2100,"exact",2100,2100],[3,12,"u","(6,1,1,1,1,1,1)",462,462,"exact",462,462],[3,12,"u","(5,5,2)",1320,1280,"exact",1280,1280],[3,12,"u","(5,5,1,1)",1485,1446,"exact",1446,1446],[3,12,"u","(5,4,3)",2112,2080,"exact",2080,2080],[3,12,"u","(5,4,2,1)",5775,5715,"exact",5715,5715],[3,12,"u","(5,4,1,1,1)",3520,3496,"exact",3496,3496],[3,12,"u","(5,3,3,1)",4158,4134,"exact",4134,4134],[3,12,"u","(5,3,2,2)",4455,4440,"exact",4440,4440],[3,12,"u","(5,3,2,1,1)",7700,7685,"exact",7685,7685],[3,12,"u","(5,3,1,1,1,1)",3564,3564,"exact",3564,3564],[3,12,"u","(5,2,2,2,1)",3520,3520,"exact",3520,3520],[3,12,"u","(5,2,2,1,1,1)",3696,3696,"exact",3696,3696],[3,12,"u","(5,2,1,1,1,1,1)",1728,1728,"exact",1728,1728],[3,12,"u","(5,1,1,1,1,1,1,1)",330,330,"exact",330,330],[3,12,"u","(4,4,4)",462,458,"exact",458,458],[3,12,"u","(4,4,3,1)",2970,2958,"exact",2958,2958],[3,12,"u","(4,4,2,2)",2640,2634,"exact",2634,2634],[3,12,"u","(4,4,2,1,1)",4455,4449,"exact",4449,4449],[3,12,"u","(4,4,1,1,1,1)",1925,1925,"exact",1925,1925],[3,12,"u","(4,3,3,2)",2970,2967,"exact",2967,2967],[3,12,"u","(4,3,3,1,1)",4158,4155,"exact",4155,4155],[3,12,"u","(4,3,2,2,1)",5775,5775,"exact",5775,5775],[3,12,"u","(4,3,2,1,1,1)",5632,5632,"exact",5632,5632],[3,12,"u","(4,3,1,1,1,1,1)",2079,2079,"exact",2079,2079],[3,12,"u","(4,2,2,2,2)",1485,1485,"exact",1485,1485],[3,12,"u","(4,2,2,2,1,1)",3080,3080,"exact",3080,3080],[3,12,"u","(4,2,2,1,1,1,1)",2376,2376,"exact",2376,2376],[3,12,"u","(4,2,1,1,1,1,1,1)",945,945,"exact",945,945],[3,12,"u","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[3,12,"u","(3,3,3,3)",462,462,"exact",462,462],[3,12,"u","(3,3,3,2,1)",2112,2112,"exact",2112,2112],[3,12,"u","(3,3,3,1,1,1)",1650,1650,"exact",1650,1650],[3,12,"u","(3,3,2,2,2)",1320,1320,"exact",1320,1320],[3,12,"u","(3,3,2,2,1,1)",2673,2673,"exact",2673,2673],[3,12,"u","(3,3,2,1,1,1,1)",1925,1925,"exact",1925,1925],[3,12,"u","(3,3,1,1,1,1,1,1)",616,616,"exact",616,616],[3,12,"u","(3,2,2,2,2,1)",1155,1155,"exact",1155,1155],[3,12,"u","(3,2,2,2,1,1,1)",1408,1408,"exact",1408,1408],[3,12,"u","(3,2,2,1,1,1,1,1)",891,891,"exact",891,891],[3,12,"u","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[3,12,"u","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[3,12,"u","(2,2,2,2,2,2)",132,132,"exact",132,132],[3,12,"u","(2,2,2,2,2,1,1)",297,297,"exact",297,297],[3,12,"u","(2,2,2,2,1,1,1,1)",275,275,"exact",275,275],[3,12,"u","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[3,12,"u","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[3,12,"u","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[3,12,"u","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"u","(13)",1,0,"exact",0,0],[3,13,"u","(12,1)",12,0,"exact",0,0],[3,13,"u","(11,2)",65,0,"exact",0,0],[3,13,"u","(11,1,1)",66,0,"exact",0,0],[3,13,"u","(10,3)",208,120,"exact",120,120],[3,13,"u","(10,2,1)",429,240,"exact",240,240],[3,13,"u","(10,1,1,1)",220,120,"exact",120,120],[3,13,"u","(9,4)",429,342,"exact",342,342],[3,13,"u","(9,3,1)",1365,1134,"exact",1134,1134],[3,13,"u","(9,2,2)",936,792,"exact",792,792],[3,13,"u","(9,2,1,1)",1430,1242,"exact",1242,1242],[3,13,"u","(9,1,1,1,1)",495,450,"exact",450,450],[3,13,"u","(8,5)",572,504,"exact",504,504],[3,13,"u","(8,4,1)",2574,2364,"exact",2364,2364],[3,13,"u","(8,3,2)",3432,3240,"exact",3240,3240],[3,13,"u","(8,3,1,1)",4212,4008,"exact",4008,4008],[3,13,"u","(8,2,2,1)",3640,3528,"exact",3528,3528],[3,13,"u","(8,2,1,1,1)",3003,2940,"exact",2940,2940],[3,13,"u","(8,1,1,1,1,1)",792,792,"exact",792,792],[3,13,"u","(7,6)",429,392,"exact",392,392],[3,13,"u","(7,5,1)",2860,2716,"exact",2716,2716],[3,13,"u","(7,4,2)",6006,5838,"exact",5838,5838],[3,13,"u","(7,4,1,1)",6864,6698,"exact",6698,6698],[3,13,"u","(7,3,3)",3575,3515,"exact",3515,3515],[3,13,"u","(7,3,2,1)",12012,11872,"exact",11872,11872],[3,13,"u","(7,3,1,1,1)",7800,7740,"exact",7740,7740],[3,13,"u","(7,2,2,2)",4004,3983,"exact",3983,3983],[3,13,"u","(7,2,2,1,1)",7371,7350,"exact",7350,7350],[3,13,"u","(7,2,1,1,1,1)",4290,4290,"exact",4290,4290],[3,13,"u","(7,1,1,1,1,1,1)",924,924,"exact",924,924],[3,13,"u","(6,6,1)",1287,1236,"exact",1236,1236],[3,13,"u","(6,5,2)",5148,5052,"exact",5052,5052],[3,13,"u","(6,5,1,1)",5720,5628,"exact",5628,5628],[3,13,"u","(6,4,3)",6435,6375,"exact",6375,6375],[3,13,"u","(6,4,2,1)",17160,17052,"exact",17052,17052],[3,13,"u","(6,4,1,1,1)",10296,10254,"exact",10254,10254],[3,13,"u","(6,3,3,1)",11440,11400,"exact",11400,11400],[3,13,"u","(6,3,2,2)",12012,11988,"exact",11988,11988],[3,13,"u","(6,3,2,1,1)",20592,20568,"exact",20568,20568],[3,13,"u","(6,3,1,1,1,1)",9360,9360,"exact",9360,9360],[3,13,"u","(6,2,2,2,1)",9009,9009,"exact",9009,9009],[3,13,"u","(6,2,2,1,1,1)",9360,9360,"exact",9360,9360],[3,13,"u","(6,2,1,1,1,1,1)",4290,4290,"exact",4290,4290],[3,13,"u","(6,1,1,1,1,1,1,1)",792,792,"exact",792,792],[3,13,"u","(5,5,3)",3432,3408,"exact",3408,3408],[3,13,"u","(5,5,2,1)",8580,8540,"exact",8540,8540],[3,13,"u","(5,5,1,1,1)",5005,4990,"exact",4990,4990],[3,13,"u","(5,4,4)",2574,2562,"exact",2562,2562],[3,13,"u","(5,4,3,1)",15015,14983,"exact",14983,14983],[3,13,"u","(5,4,2,2)",12870,12855,"exact",12855,12855],[3,13,"u","(5,4,2,1,1)",21450,21435,"exact",21435,21435],[3,13,"u","(5,4,1,1,1,1)",9009,9009,"exact",9009,9009],[3,13,"u","(5,3,3,2)",11583,11577,"exact",11577,11577],[3,13,"u","(5,3,3,1,1)",16016,16010,"exact",16010,16010],[3,13,"u","(5,3,2,2,1)",21450,21450,"exact",21450,21450],[3,13,"u","(5,3,2,1,1,1)",20592,20592,"exact",20592,20592],[3,13,"u","(5,3,1,1,1,1,1)",7371,7371,"exact",7371,7371],[3,13,"u","(5,2,2,2,2)",5005,5005,"exact",5005,5005],[3,13,"u","(5,2,2,2,1,1)",10296,10296,"exact",10296,10296],[3,13,"u","(5,2,2,1,1,1,1)",7800,7800,"exact",7800,7800],[3,13,"u","(5,2,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,13,"u","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[3,13,"u","(4,4,4,1)",3432,3428,"exact",3428,3428],[3,13,"u","(4,4,3,2)",8580,8577,"exact",8577,8577],[3,13,"u","(4,4,3,1,1)",11583,11580,"exact",11580,11580],[3,13,"u","(4,4,2,2,1)",12870,12870,"exact",12870,12870],[3,13,"u","(4,4,2,1,1,1)",12012,12012,"exact",12012,12012],[3,13,"u","(4,4,1,1,1,1,1)",4004,4004,"exact",4004,4004],[3,13,"u","(4,3,3,3)",3432,3432,"exact",3432,3432],[3,13,"u","(4,3,3,2,1)",15015,15015,"exact",15015,15015],[3,13,"u","(4,3,3,1,1,1)",11440,11440,"exact",11440,11440],[3,13,"u","(4,3,2,2,2)",8580,8580,"exact",8580,8580],[3,13,"u","(4,3,2,2,1,1)",17160,17160,"exact",17160,17160],[3,13,"u","(4,3,2,1,1,1,1)",12012,12012,"exact",12012,12012],[3,13,"u","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[3,13,"u","(4,2,2,2,2,1)",5720,5720,"exact",5720,5720],[3,13,"u","(4,2,2,2,1,1,1)",6864,6864,"exact",6864,6864],[3,13,"u","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[3,13,"u","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[3,13,"u","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[3,13,"u","(3,3,3,3,1)",2574,2574,"exact",2574,2574],[3,13,"u","(3,3,3,2,2)",3432,3432,"exact",3432,3432],[3,13,"u","(3,3,3,2,1,1)",6435,6435,"exact",6435,6435],[3,13,"u","(3,3,3,1,1,1,1)",3575,3575,"exact",3575,3575],[3,13,"u","(3,3,2,2,2,1)",5148,5148,"exact",5148,5148],[3,13,"u","(3,3,2,2,1,1,1)",6006,6006,"exact",6006,6006],[3,13,"u","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[3,13,"u","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[3,13,"u","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[3,13,"u","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[3,13,"u","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[3,13,"u","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,13,"u","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"u","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[3,13,"u","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[3,13,"u","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[3,13,"u","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"u","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[3,13,"u","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[3,13,"u","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[3,13,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"u","(14)",1,0,"exact",0,0],[3,14,"u","(13,1)",13,0,"exact",0,0],[3,14,"u","(12,2)",77,0,"exact",0,0],[3,14,"u","(12,1,1)",78,0,"exact",0,0],[3,14,"u","(11,3)",273,165,"exact",165,165],[3,14,"u","(11,2,1)",560,330,"exact",330,330],[3,14,"u","(11,1,1,1)",286,165,"exact",165,165],[3,14,"u","(10,4)",637,525,"exact",525,525],[3,14,"u","(10,3,1)",2002,1710,"exact",1710,1710],[3,14,"u","(10,2,2)",1365,1185,"exact",1185,1185],[3,14,"u","(10,2,1,1)",2079,1845,"exact",1845,1845],[3,14,"u","(10,1,1,1,1)",715,660,"exact",660,660],[3,14,"u","(9,5)",1001,906,"exact",906,906],[3,14,"u","(9,4,1)",4368,4086,"exact",4086,4086],[3,14,"u","(9,3,2)",5733,5481,"exact",5481,5481],[3,14,"u","(9,3,1,1)",7007,6741,"exact",6741,6741],[3,14,"u","(9,2,2,1)",6006,5862,"exact",5862,5862],[3,14,"u","(9,2,1,1,1)",4928,4848,"exact",4848,4848],[3,14,"u","(9,1,1,1,1,1)",1287,1287,"exact",1287,1287],[3,14,"u","(8,6)",1001,938,"exact",938,938],[3,14,"u","(8,5,1)",6006,5788,"exact",5788,5788],[3,14,"u","(8,4,2)",12012,11772,"exact",11772,11772],[3,14,"u","(8,4,1,1)",13650,13415,"exact",13415,13415],[3,14,"u","(8,3,3)",7007,6923,"exact",6923,6923],[3,14,"u","(8,3,2,1)",23296,23104,"exact",23104,23104],[3,14,"u","(8,3,1,1,1)",15015,14934,"exact",14934,14934],[3,14,"u","(8,2,2,2)",7644,7616,"exact",7616,7616],[3,14,"u","(8,2,2,1,1)",14014,13986,"exact",13986,13986],[3,14,"u","(8,2,1,1,1,1)",8085,8085,"exact",8085,8085],[3,14,"u","(8,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[3,14,"u","(7,7)",429,407,"exact",407,407],[3,14,"u","(7,6,1)",4576,4458,"exact",4458,4458],[3,14,"u","(7,5,2)",14014,13846,"exact",13846,13846],[3,14,"u","(7,5,1,1)",15444,15285,"exact",15285,15285],[3,14,"u","(7,4,3)",16016,15920,"exact",15920,15920],[3,14,"u","(7,4,2,1)",42042,41874,"exact",41874,41874],[3,14,"u","(7,4,1,1,1)",24960,24896,"exact",24896,24896],[3,14,"u","(7,3,3,1)",27027,26967,"exact",26967,26967],[3,14,"u","(7,3,2,2)",28028,27993,"exact",27993,27993],[3,14,"u","(7,3,2,1,1)",47775,47740,"exact",47740,47740],[3,14,"u","(7,3,1,1,1,1)",21450,21450,"exact",21450,21450],[3,14,"u","(7,2,2,2,1)",20384,20384,"exact",20384,20384],[3,14,"u","(7,2,2,1,1,1)",21021,21021,"exact",21021,21021],[3,14,"u","(7,2,1,1,1,1,1)",9504,9504,"exact",9504,9504],[3,14,"u","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[3,14,"u","(6,6,2)",6435,6375,"exact",6375,6375],[3,14,"u","(6,6,1,1)",7007,6951,"exact",6951,6951],[3,14,"u","(6,5,3)",15015,14955,"exact",14955,14955],[3,14,"u","(6,5,2,1)",36608,36512,"exact",36512,36512],[3,14,"u","(6,5,1,1,1)",21021,20986,"exact",20986,20986],[3,14,"u","(6,4,4)",9009,8985,"exact",8985,8985],[3,14,"u","(6,4,3,1)",50050,49990,"exact",49990,49990],[3,14,"u","(6,4,2,2)",42042,42015,"exact",42015,42015],[3,14,"u","(6,4,2,1,1)",69498,69471,"exact",69471,69471],[3,14,"u","(6,4,1,1,1,1)",28665,28665,"exact",28665,28665],[3,14,"u","(6,3,3,2)",35035,35025,"exact",35025,35025],[3,14,"u","(6,3,3,1,1)",48048,48038,"exact",48038,48038],[3,14,"u","(6,3,2,2,1)",63063,63063,"exact",63063,63063],[3,14,"u","(6,3,2,1,1,1)",59904,59904,"exact",59904,59904],[3,14,"u","(6,3,1,1,1,1,1)",21021,21021,"exact",21021,21021],[3,14,"u","(6,2,2,2,2)",14014,14014,"exact",14014,14014],[3,14,"u","(6,2,2,2,1,1)",28665,28665,"exact",28665,28665],[3,14,"u","(6,2,2,1,1,1,1)",21450,21450,"exact",21450,21450],[3,14,"u","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[3,14,"u","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[3,14,"u","(5,5,4)",6006,5994,"exact",5994,5994],[3,14,"u","(5,5,3,1)",27027,27003,"exact",27003,27003],[3,14,"u","(5,5,2,2)",21450,21440,"exact",21440,21440],[3,14,"u","(5,5,2,1,1)",35035,35025,"exact",35025,35025],[3,14,"u","(5,5,1,1,1,1)",14014,14014,"exact",14014,14014],[3,14,"u","(5,4,4,1)",21021,21009,"exact",21009,21009],[3,14,"u","(5,4,3,2)",48048,48040,"exact",48040,48040],[3,14,"u","(5,4,3,1,1)",64064,64056,"exact",64056,64056],[3,14,"u","(5,4,2,2,1)",68640,68640,"exact",68640,68640],[3,14,"u","(5,4,2,1,1,1)",63063,63063,"exact",63063,63063],[3,14,"u","(5,4,1,1,1,1,1)",20384,20384,"exact",20384,20384],[3,14,"u","(5,3,3,3)",15015,15015,"exact",15015,15015],[3,14,"u","(5,3,3,2,1)",64064,64064,"exact",64064,64064],[3,14,"u","(5,3,3,1,1,1)",48048,48048,"exact",48048,48048],[3,14,"u","(5,3,2,2,2)",35035,35035,"exact",35035,35035],[3,14,"u","(5,3,2,2,1,1)",69498,69498,"exact",69498,69498],[3,14,"u","(5,3,2,1,1,1,1)",47775,47775,"exact",47775,47775],[3,14,"u","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[3,14,"u","(5,2,2,2,2,1)",21021,21021,"exact",21021,21021],[3,14,"u","(5,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[3,14,"u","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[3,14,"u","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[3,14,"u","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,14,"u","(4,4,4,2)",12012,12011,"exact",12011,12011],[3,14,"u","(4,4,4,1,1)",15015,15014,"exact",15014,15014],[3,14,"u","(4,4,3,3)",12012,12012,"exact",12012,12012],[3,14,"u","(4,4,3,2,1)",48048,48048,"exact",48048,48048],[3,14,"u","(4,4,3,1,1,1)",35035,35035,"exact",35035,35035],[3,14,"u","(4,4,2,2,2)",21450,21450,"exact",21450,21450],[3,14,"u","(4,4,2,2,1,1)",42042,42042,"exact",42042,42042],[3,14,"u","(4,4,2,1,1,1,1)",28028,28028,"exact",28028,28028],[3,14,"u","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[3,14,"u","(4,3,3,3,1)",21021,21021,"exact",21021,21021],[3,14,"u","(4,3,3,2,2)",27027,27027,"exact",27027,27027],[3,14,"u","(4,3,3,2,1,1)",50050,50050,"exact",50050,50050],[3,14,"u","(4,3,3,1,1,1,1)",27027,27027,"exact",27027,27027],[3,14,"u","(4,3,2,2,2,1)",36608,36608,"exact",36608,36608],[3,14,"u","(4,3,2,2,1,1,1)",42042,42042,"exact",42042,42042],[3,14,"u","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[3,14,"u","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[3,14,"u","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[3,14,"u","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[3,14,"u","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[3,14,"u","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,14,"u","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[3,14,"u","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[3,14,"u","(3,3,3,3,2)",6006,6006,"exact",6006,6006],[3,14,"u","(3,3,3,3,1,1)",9009,9009,"exact",9009,9009],[3,14,"u","(3,3,3,2,2,1)",15015,15015,"exact",15015,15015],[3,14,"u","(3,3,3,2,1,1,1)",16016,16016,"exact",16016,16016],[3,14,"u","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,14,"u","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[3,14,"u","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[3,14,"u","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[3,14,"u","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[3,14,"u","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,14,"u","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[3,14,"u","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[3,14,"u","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,14,"u","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,14,"u","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,14,"u","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[3,14,"u","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[3,14,"u","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[3,14,"u","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[3,14,"u","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[3,14,"u","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[3,14,"u","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[3,14,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[3,14,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,15,"u","(15)",1,0,"exact",0,0],[3,15,"u","(14,1)",14,0,"exact",0,0],[3,15,"u","(13,2)",90,0,"exact",0,0],[3,15,"u","(13,1,1)",91,0,"exact",0,0],[3,15,"u","(12,3)",350,220,"exact",220,220],[3,15,"u","(12,2,1)",715,440,"exact",440,440],[3,15,"u","(12,1,1,1)",364,220,"exact",220,220],[3,15,"u","(11,4)",910,770,"exact",770,770],[3,15,"u","(11,3,1)",2835,2475,"exact",2475,2475],[3,15,"u","(11,2,2)",1925,1705,"exact",1705,1705],[3,15,"u","(11,2,1,1)",2925,2640,"exact",2640,2640],[3,15,"u","(11,1,1,1,1)",1001,935,"exact",935,935],[3,15,"u","(10,5)",1638,1512,"exact",1512,1512],[3,15,"u","(10,4,1)",7007,6643,"exact",6643,6643],[3,15,"u","(10,3,2)",9100,8780,"exact",8780,8780],[3,15,"u","(10,3,1,1)",11088,10752,"exact",10752,10752],[3,15,"u","(10,2,2,1)",9450,9270,"exact",9270,9270],[3,15,"u","(10,2,1,1,1)",7722,7623,"exact",7623,7623],[3,15,"u","(10,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"u","(9,6)",2002,1908,"exact",1908,1908],[3,15,"u","(9,5,1)",11375,11070,"exact",11070,11070],[3,15,"u","(9,4,2)",22113,21789,"exact",21789,21789],[3,15,"u","(9,4,1,1)",25025,24710,"exact",24710,24710],[3,15,"u","(9,3,3)",12740,12628,"exact",12628,12628],[3,15,"u","(9,3,2,1)",42042,41790,"exact",41790,41790],[3,15,"u","(9,3,1,1,1)",26950,26845,"exact",26845,26845],[3,15,"u","(9,2,2,2)",13650,13614,"exact",13614,13614],[3,15,"u","(9,2,2,1,1)",24948,24912,"exact",24912,24912],[3,15,"u","(9,2,1,1,1,1)",14300,14300,"exact",14300,14300],[3,15,"u","(9,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,15,"u","(8,7)",1430,1380,"exact",1380,1380],[3,15,"u","(8,6,1)",11583,11382,"exact",11382,11382],[3,15,"u","(8,5,2)",32032,31776,"exact",31776,31776],[3,15,"u","(8,5,1,1)",35100,34860,"exact",34860,34860],[3,15,"u","(8,4,3)",35035,34895,"exact",34895,34895],[3,15,"u","(8,4,2,1)",91000,90760,"exact",90760,90760],[3,15,"u","(8,4,1,1,1)",53625,53535,"exact",53535,53535],[3,15,"u","(8,3,3,1)",57330,57246,"exact",57246,57246],[3,15,"u","(8,3,2,2)",58968,58920,"exact",58920,58920],[3,15,"u","(8,3,2,1,1)",100100,100052,"exact",100052,100052],[3,15,"u","(8,3,1,1,1,1)",44550,44550,"exact",44550,44550],[3,15,"u","(8,2,2,2,1)",42042,42042,"exact",42042,42042],[3,15,"u","(8,2,2,1,1,1)",43120,43120,"exact",43120,43120],[3,15,"u","(8,2,1,1,1,1,1)",19305,19305,"exact",19305,19305],[3,15,"u","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[3,15,"u","(7,7,1)",5005,4935,"exact",4935,4935],[3,15,"u","(7,6,2)",25025,24885,"exact",24885,24885],[3,15,"u","(7,6,1,1)",27027,26898,"exact",26898,26898],[3,15,"u","(7,5,3)",45045,44937,"exact",44937,44937],[3,15,"u","(7,5,2,1)",108108,107940,"exact",107940,107940],[3,15,"u","(7,5,1,1,1)",61425,61365,"exact",61365,61365],[3,15,"u","(7,4,4)",25025,24985,"exact",24985,24985],[3,15,"u","(7,4,3,1)",135135,135039,"exact",135039,135039],[3,15,"u","(7,4,2,2)",112112,112070,"exact",112070,112070],[3,15,"u","(7,4,2,1,1)",184275,184233,"exact",184233,184233],[3,15,"u","(7,4,1,1,1,1)",75075,75075,"exact",75075,75075],[3,15,"u","(7,3,3,2)",90090,90075,"exact",90075,90075],[3,15,"u","(7,3,3,1,1)",122850,122835,"exact",122835,122835],[3,15,"u","(7,3,2,2,1)",159250,159250,"exact",159250,159250],[3,15,"u","(7,3,2,1,1,1)",150150,150150,"exact",150150,150150],[3,15,"u","(7,3,1,1,1,1,1)",51975,51975,"exact",51975,51975],[3,15,"u","(7,2,2,2,2)",34398,34398,"exact",34398,34398],[3,15,"u","(7,2,2,2,1,1)",70070,70070,"exact",70070,70070],[3,15,"u","(7,2,2,1,1,1,1)",51975,51975,"exact",51975,51975],[3,15,"u","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[3,15,"u","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,15,"u","(6,6,3)",21450,21410,"exact",21410,21410],[3,15,"u","(6,6,2,1)",50050,49990,"exact",49990,49990],[3,15,"u","(6,6,1,1,1)",28028,28007,"exact",28007,28007],[3,15,"u","(6,5,4)",30030,29998,"exact",29998,29998],[3,15,"u","(6,5,3,1)",128700,128640,"exact",128640,128640],[3,15,"u","(6,5,2,2)",100100,100076,"exact",100076,100076],[3,15,"u","(6,5,2,1,1)",162162,162138,"exact",162138,162138],[3,15,"u","(6,5,1,1,1,1)",63700,63700,"exact",63700,63700],[3,15,"u","(6,4,4,1)",80080,80056,"exact",80056,80056],[3,15,"u","(6,4,3,2)",175175,175160,"exact",175160,175160],[3,15,"u","(6,4,3,1,1)",231660,231645,"exact",231645,231645],[3,15,"u","(6,4,2,2,1)",243243,243243,"exact",243243,243243],[3,15,"u","(6,4,2,1,1,1)",221130,221130,"exact",221130,221130],[3,15,"u","(6,4,1,1,1,1,1)",70070,70070,"exact",70070,70070],[3,15,"u","(6,3,3,3)",50050,50050,"exact",50050,50050],[3,15,"u","(6,3,3,2,1)",210210,210210,"exact",210210,210210],[3,15,"u","(6,3,3,1,1,1)",156000,156000,"exact",156000,156000],[3,15,"u","(6,3,2,2,2)",112112,112112,"exact",112112,112112],[3,15,"u","(6,3,2,2,1,1)",221130,221130,"exact",221130,221130],[3,15,"u","(6,3,2,1,1,1,1)",150150,150150,"exact",150150,150150],[3,15,"u","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[3,15,"u","(6,2,2,2,2,1)",63700,63700,"exact",63700,63700],[3,15,"u","(6,2,2,2,1,1,1)",75075,75075,"exact",75075,75075],[3,15,"u","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[3,15,"u","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,15,"u","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"u","(5,5,5)",6006,6002,"exact",6002,6002],[3,15,"u","(5,5,4,1)",54054,54042,"exact",54042,54042],[3,15,"u","(5,5,3,2)",96525,96519,"exact",96519,96519],[3,15,"u","(5,5,3,1,1)",126126,126120,"exact",126120,126120],[3,15,"u","(5,5,2,2,1)",125125,125125,"exact",125125,125125],[3,15,"u","(5,5,2,1,1,1)",112112,112112,"exact",112112,112112],[3,15,"u","(5,5,1,1,1,1,1)",34398,34398,"exact",34398,34398],[3,15,"u","(5,4,4,2)",81081,81078,"exact",81078,81078],[3,15,"u","(5,4,4,1,1)",100100,100097,"exact",100097,100097],[3,15,"u","(5,4,3,3)",75075,75075,"exact",75075,75075],[3,15,"u","(5,4,3,2,1)",292864,292864,"exact",292864,292864],[3,15,"u","(5,4,3,1,1,1)",210210,210210,"exact",210210,210210],[3,15,"u","(5,4,2,2,2)",125125,125125,"exact",125125,125125],[3,15,"u","(5,4,2,2,1,1)",243243,243243,"exact",243243,243243],[3,15,"u","(5,4,2,1,1,1,1)",159250,159250,"exact",159250,159250],[3,15,"u","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[3,15,"u","(5,3,3,3,1)",100100,100100,"exact",100100,100100],[3,15,"u","(5,3,3,2,2)",126126,126126,"exact",126126,126126],[3,15,"u","(5,3,3,2,1,1)",231660,231660,"exact",231660,231660],[3,15,"u","(5,3,3,1,1,1,1)",122850,122850,"exact",122850,122850],[3,15,"u","(5,3,2,2,2,1)",162162,162162,"exact",162162,162162],[3,15,"u","(5,3,2,2,1,1,1)",184275,184275,"exact",184275,184275],[3,15,"u","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[3,15,"u","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[3,15,"u","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[3,15,"u","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[3,15,"u","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[3,15,"u","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[3,15,"u","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[3,15,"u","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[3,15,"u","(4,4,4,3)",24024,24024,"exact",24024,24024],[3,15,"u","(4,4,4,2,1)",75075,75075,"exact",75075,75075],[3,15,"u","(4,4,4,1,1,1)",50050,50050,"exact",50050,50050],[3,15,"u","(4,4,3,3,1)",81081,81081,"exact",81081,81081],[3,15,"u","(4,4,3,2,2)",96525,96525,"exact",96525,96525],[3,15,"u","(4,4,3,2,1,1)",175175,175175,"exact",175175,175175],[3,15,"u","(4,4,3,1,1,1,1)",90090,90090,"exact",90090,90090],[3,15,"u","(4,4,2,2,2,1)",100100,100100,"exact",100100,100100],[3,15,"u","(4,4,2,2,1,1,1)",112112,112112,"exact",112112,112112],[3,15,"u","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[3,15,"u","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[3,15,"u","(4,3,3,3,2)",54054,54054,"exact",54054,54054],[3,15,"u","(4,3,3,3,1,1)",80080,80080,"exact",80080,80080],[3,15,"u","(4,3,3,2,2,1)",128700,128700,"exact",128700,128700],[3,15,"u","(4,3,3,2,1,1,1)",135135,135135,"exact",135135,135135],[3,15,"u","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[3,15,"u","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[3,15,"u","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[3,15,"u","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[3,15,"u","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[3,15,"u","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[3,15,"u","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[3,15,"u","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[3,15,"u","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[3,15,"u","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[3,15,"u","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[3,15,"u","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[3,15,"u","(3,3,3,3,3)",6006,6006,"exact",6006,6006],[3,15,"u","(3,3,3,3,2,1)",30030,30030,"exact",30030,30030],[3,15,"u","(3,3,3,3,1,1,1)",25025,25025,"exact",25025,25025],[3,15,"u","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[3,15,"u","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[3,15,"u","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[3,15,"u","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[3,15,"u","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[3,15,"u","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[3,15,"u","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[3,15,"u","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[3,15,"u","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[3,15,"u","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[3,15,"u","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[3,15,"u","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[3,15,"u","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,15,"u","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[3,15,"u","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,15,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[3,15,"u","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[3,15,"u","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"u","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[3,15,"u","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[3,15,"u","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[3,15,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[3,15,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[3,15,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,16,"u","(16)",1,0,"exact",0,0],[3,16,"u","(15,1)",15,0,"exact",0,0],[3,16,"u","(14,2)",104,0,"exact",0,0],[3,16,"u","(14,1,1)",105,0,"exact",0,0],[3,16,"u","(13,3)",440,286,"exact",286,286],[3,16,"u","(13,2,1)",896,572,"exact",572,572],[3,16,"u","(13,1,1,1)",455,286,"exact",286,286],[3,16,"u","(12,4)",1260,1089,"exact",1089,1089],[3,16,"u","(12,3,1)",3900,3465,"exact",3465,3465],[3,16,"u","(12,2,2)",2640,2376,"exact",2376,2376],[3,16,"u","(12,2,1,1)",4004,3663,"exact",3663,3663],[3,16,"u","(12,1,1,1,1)",1365,1287,"exact",1287,1287],[3,16,"u","(11,5)",2548,2387,"exact",2387,2387],[3,16,"u","(11,4,1)",10752,10296,"exact",10296,10296],[3,16,"u","(11,3,2)",13860,13464,"exact",13464,13464],[3,16,"u","(11,3,1,1)",16848,16434,"exact",16434,16434],[3,16,"u","(11,2,2,1)",14300,14080,"exact",14080,14080],[3,16,"u","(11,2,1,1,1)",11648,11528,"exact",11528,11528],[3,16,"u","(11,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,16,"u","(10,6)",3640,3510,"exact",3510,3510],[3,16,"u","(10,5,1)",20020,19615,"exact",19615,19615],[3,16,"u","(10,4,2)",38220,37800,"exact",37800,37800],[3,16,"u","(10,4,1,1)",43120,42714,"exact",42714,42714],[3,16,"u","(10,3,3)",21840,21696,"exact",21696,21696],[3,16,"u","(10,3,2,1)",71680,71360,"exact",71360,71360],[3,16,"u","(10,3,1,1,1)",45760,45628,"exact",45628,45628],[3,16,"u","(10,2,2,2)",23100,23055,"exact",23055,23055],[3,16,"u","(10,2,2,1,1)",42120,42075,"exact",42075,42075],[3,16,"u","(10,2,1,1,1,1)",24024,24024,"exact",24024,24024],[3,16,"u","(10,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[3,16,"u","(9,7)",3432,3348,"exact",3348,3348],[3,16,"u","(9,6,1)",24960,24660,"exact",24660,24660],[3,16,"u","(9,5,2)",65520,65160,"exact",65160,65160],[3,16,"u","(9,5,1,1)",71500,71165,"exact",71165,71165],[3,16,"u","(9,4,3)",69888,69696,"exact",69696,69696],[3,16,"u","(9,4,2,1)",180180,179856,"exact",179856,179856],[3,16,"u","(9,4,1,1,1)",105600,105480,"exact",105480,105480],[3,16,"u","(9,3,3,1)",112112,112000,"exact",112000,112000],[3,16,"u","(9,3,2,2)",114660,114597,"exact",114597,114597],[3,16,"u","(9,3,2,1,1)",194040,193977,"exact",193977,193977],[3,16,"u","(9,3,1,1,1,1)",85800,85800,"exact",85800,85800],[3,16,"u","(9,2,2,2,1)",80640,80640,"exact",80640,80640],[3,16,"u","(9,2,2,1,1,1)",82368,82368,"exact",82368,82368],[3,16,"u","(9,2,1,1,1,1,1)",36608,36608,"exact",36608,36608],[3,16,"u","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[3,16,"u","(8,8)",1430,1401,"exact",1401,1401],[3,16,"u","(8,7,1)",18018,17859,"exact",17859,17859],[3,16,"u","(8,6,2)",68640,68400,"exact",68400,68400],[3,16,"u","(8,6,1,1)",73710,73491,"exact",73491,73491],[3,16,"u","(8,5,3)",112112,111944,"exact",111944,111944],[3,16,"u","(8,5,2,1)",266240,265984,"exact",265984,265984],[3,16,"u","(8,5,1,1,1)",150150,150060,"exact",150060,150060],[3,16,"u","(8,4,4)",60060,60000,"exact",60000,60000],[3,16,"u","(8,4,3,1)",318500,318360,"exact",318360,318360],[3,16,"u","(8,4,2,2)",262080,262020,"exact",262020,262020],[3,16,"u","(8,4,2,1,1)",429000,428940,"exact",428940,428940],[3,16,"u","(8,4,1,1,1,1)",173250,173250,"exact",173250,173250],[3,16,"u","(8,3,3,2)",206388,206367,"exact",206367,206367],[3,16,"u","(8,3,3,1,1)",280280,280259,"exact",280259,280259],[3,16,"u","(8,3,2,2,1)",360360,360360,"exact",360360,360360],[3,16,"u","(8,3,2,1,1,1)",337920,337920,"exact",337920,337920],[3,16,"u","(8,3,1,1,1,1,1)",115830,115830,"exact",115830,115830],[3,16,"u","(8,2,2,2,2)",76440,76440,"exact",76440,76440],[3,16,"u","(8,2,2,2,1,1)",155232,155232,"exact",155232,155232],[3,16,"u","(8,2,2,1,1,1,1)",114400,114400,"exact",114400,114400],[3,16,"u","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[3,16,"u","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[3,16,"u","(7,7,2)",30030,29946,"exact",29946,29946],[3,16,"u","(7,7,1,1)",32032,31956,"exact",31956,31956],[3,16,"u","(7,6,3)",91520,91424,"exact",91424,91424],[3,16,"u","(7,6,2,1)",210210,210070,"exact",210070,210070],[3,16,"u","(7,6,1,1,1)",116480,116432,"exact",116432,116432],[3,16,"u","(7,5,4)",100100,100040,"exact",100040,100040],[3,16,"u","(7,5,3,1)",416988,416880,"exact",416880,416880],[3,16,"u","(7,5,2,2)",320320,320278,"exact",320278,320278],[3,16,"u","(7,5,2,1,1)",515970,515928,"exact",515928,515928],[3,16,"u","(7,5,1,1,1,1)",200200,200200,"exact",200200,200200],[3,16,"u","(7,4,4,1)",240240,240200,"exact",240200,240200],[3,16,"u","(7,4,3,2)",512512,512488,"exact",512488,512488],[3,16,"u","(7,4,3,1,1)",673920,673896,"exact",673896,673896],[3,16,"u","(7,4,2,2,1)",698880,698880,"exact",698880,698880],[3,16,"u","(7,4,2,1,1,1)",630630,630630,"exact",630630,630630],[3,16,"u","(7,4,1,1,1,1,1)",197120,197120,"exact",197120,197120],[3,16,"u","(7,3,3,3)",140140,140140,"exact",140140,140140],[3,16,"u","(7,3,3,2,1)",582400,582400,"exact",582400,582400],[3,16,"u","(7,3,3,1,1,1)",429000,429000,"exact",429000,429000],[3,16,"u","(7,3,2,2,2)",305760,305760,"exact",305760,305760],[3,16,"u","(7,3,2,2,1,1)",600600,600600,"exact",600600,600600],[3,16,"u","(7,3,2,1,1,1,1)",404250,404250,"exact",404250,404250],[3,16,"u","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[3,16,"u","(7,2,2,2,2,1)",168168,168168,"exact",168168,168168],[3,16,"u","(7,2,2,2,1,1,1)",197120,197120,"exact",197120,197120],[3,16,"u","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[3,16,"u","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[3,16,"u","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[3,16,"u","(6,6,4)",51480,51456,"exact",51456,51456],[3,16,"u","(6,6,3,1)",200200,200160,"exact",200160,200160],[3,16,"u","(6,6,2,2)",150150,150135,"exact",150135,150135],[3,16,"u","(6,6,2,1,1)",240240,240225,"exact",240225,240225],[3,16,"u","(6,6,1,1,1,1)",91728,91728,"exact",91728,91728],[3,16,"u","(6,5,5)",36036,36024,"exact",36024,36024],[3,16,"u","(6,5,4,1)",292864,292832,"exact",292832,292832],[3,16,"u","(6,5,3,2)",500500,500485,"exact",500485,500485],[3,16,"u","(6,5,3,1,1)",648648,648633,"exact",648633,648633],[3,16,"u","(6,5,2,2,1)",630630,630630,"exact",630630,630630],[3,16,"u","(6,5,2,1,1,1)",559104,559104,"exact",559104,559104],[3,16,"u","(6,5,1,1,1,1,1)",168168,168168,"exact",168168,168168],[3,16,"u","(6,4,4,2)",336336,336330,"exact",336330,336330],[3,16,"u","(6,4,4,1,1)",411840,411834,"exact",411834,411834],[3,16,"u","(6,4,3,3)",300300,300300,"exact",300300,300300],[3,16,"u","(6,4,3,2,1)",1153152,1153152,"exact",1153152,1153152],[3,16,"u","(6,4,3,1,1,1)",819000,819000,"exact",819000,819000],[3,16,"u","(6,4,2,2,2)",480480,480480,"exact",480480,480480],[3,16,"u","(6,4,2,2,1,1)",928746,928746,"exact",928746,928746],[3,16,"u","(6,4,2,1,1,1,1)",600600,600600,"exact",600600,600600],[3,16,"u","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[3,16,"u","(6,3,3,3,1)",360360,360360,"exact",360360,360360],[3,16,"u","(6,3,3,2,2)",448448,448448,"exact",448448,448448],[3,16,"u","(6,3,3,2,1,1)",819000,819000,"exact",819000,819000],[3,16,"u","(6,3,3,1,1,1,1)",429000,429000,"exact",429000,429000],[3,16,"u","(6,3,2,2,2,1)",559104,559104,"exact",559104,559104],[3,16,"u","(6,3,2,2,1,1,1)",630630,630630,"exact",630630,630630],[3,16,"u","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[3,16,"u","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[3,16,"u","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[3,16,"u","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[3,16,"u","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[3,16,"u","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[3,16,"u","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[3,16,"u","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,16,"u","(5,5,5,1)",60060,60056,"exact",60056,60056],[3,16,"u","(5,5,4,2)",231660,231657,"exact",231657,231657],[3,16,"u","(5,5,4,1,1)",280280,280277,"exact",280277,280277],[3,16,"u","(5,5,3,3)",171600,171600,"exact",171600,171600],[3,16,"u","(5,5,3,2,1)",640640,640640,"exact",640640,640640],[3,16,"u","(5,5,3,1,1,1)",448448,448448,"exact",448448,448448],[3,16,"u","(5,5,2,2,2)",250250,250250,"exact",250250,250250],[3,16,"u","(5,5,2,2,1,1)",480480,480480,"exact",480480,480480],[3,16,"u","(5,5,2,1,1,1,1)",305760,305760,"exact",305760,305760],[3,16,"u","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[3,16,"u","(5,4,4,3)",180180,180180,"exact",180180,180180],[3,16,"u","(5,4,4,2,1)",549120,549120,"exact",549120,549120],[3,16,"u","(5,4,4,1,1,1)",360360,360360,"exact",360360,360360],[3,16,"u","(5,4,3,3,1)",549120,549120,"exact",549120,549120],[3,16,"u","(5,4,3,2,2)",640640,640640,"exact",640640,640640],[3,16,"u","(5,4,3,2,1,1)",1153152,1153152,"exact",1153152,1153152],[3,16,"u","(5,4,3,1,1,1,1)",582400,582400,"exact",582400,582400],[3,16,"u","(5,4,2,2,2,1)",630630,630630,"exact",630630,630630],[3,16,"u","(5,4,2,2,1,1,1)",698880,698880,"exact",698880,698880],[3,16,"u","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[3,16,"u","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[3,16,"u","(5,3,3,3,2)",280280,280280,"exact",280280,280280],[3,16,"u","(5,3,3,3,1,1)",411840,411840,"exact",411840,411840],[3,16,"u","(5,3,3,2,2,1)",648648,648648,"exact",648648,648648],[3,16,"u","(5,3,3,2,1,1,1)",673920,673920,"exact",673920,673920],[3,16,"u","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[3,16,"u","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[3,16,"u","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[3,16,"u","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[3,16,"u","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[3,16,"u","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[3,16,"u","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[3,16,"u","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[3,16,"u","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[3,16,"u","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[3,16,"u","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[3,16,"u","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,16,"u","(4,4,4,4)",24024,24024,"exact",24024,24024],[3,16,"u","(4,4,4,3,1)",180180,180180,"exact",180180,180180],[3,16,"u","(4,4,4,2,2)",171600,171600,"exact",171600,171600],[3,16,"u","(4,4,4,2,1,1)",300300,300300,"exact",300300,300300],[3,16,"u","(4,4,4,1,1,1,1)",140140,140140,"exact",140140,140140],[3,16,"u","(4,4,3,3,2)",231660,231660,"exact",231660,231660],[3,16,"u","(4,4,3,3,1,1)",336336,336336,"exact",336336,336336],[3,16,"u","(4,4,3,2,2,1)",500500,500500,"exact",500500,500500],[3,16,"u","(4,4,3,2,1,1,1)",512512,512512,"exact",512512,512512],[3,16,"u","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[3,16,"u","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[3,16,"u","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[3,16,"u","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[3,16,"u","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[3,16,"u","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[3,16,"u","(4,3,3,3,3)",60060,60060,"exact",60060,60060],[3,16,"u","(4,3,3,3,2,1)",292864,292864,"exact",292864,292864],[3,16,"u","(4,3,3,3,1,1,1)",240240,240240,"exact",240240,240240],[3,16,"u","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[3,16,"u","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[3,16,"u","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[3,16,"u","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[3,16,"u","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[3,16,"u","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[3,16,"u","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[3,16,"u","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[3,16,"u","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,16,"u","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[3,16,"u","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[3,16,"u","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[3,16,"u","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[3,16,"u","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[3,16,"u","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[3,16,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[3,16,"u","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[3,16,"u","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[3,16,"u","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[3,16,"u","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[3,16,"u","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[3,16,"u","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[3,16,"u","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[3,16,"u","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[3,16,"u","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[3,16,"u","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[3,16,"u","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[3,16,"u","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[3,16,"u","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[3,16,"u","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[3,16,"u","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[3,16,"u","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[3,16,"u","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[3,16,"u","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[3,16,"u","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[3,16,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[3,16,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[3,16,"u","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[3,16,"u","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[3,16,"u","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[3,16,"u","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[3,16,"u","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[3,16,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[3,16,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[3,16,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[3,16,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,17,"u","(17)",1,0,"exact",0,0],[3,17,"u","(16,1)",16,0,"exact",0,0],[3,17,"u","(15,2)",119,0,"exact",0,0],[3,17,"u","(15,1,1)",120,0,"exact",0,0],[3,17,"u","(14,3)",544,364,"exact",364,364],[3,17,"u","(14,2,1)",1105,728,"exact",728,728],[3,17,"u","(14,1,1,1)",560,364,"exact",364,364],[3,17,"u","(13,4)",1700,1495,"exact",1495,1495],[3,17,"u","(13,3,1)",5236,4719,"exact",4719,4719],[3,17,"u","(13,2,2)",3536,3224,"exact",3224,3224],[3,17,"u","(13,2,1,1)",5355,4953,"exact",4953,4953],[3,17,"u","(13,1,1,1,1)",1820,1729,"exact",1729,1729],[3,17,"u","(12,5)",3808,3608,"exact",3608,3608],[3,17,"u","(12,4,1)",15912,15354,"exact",15354,15354],[3,17,"u","(12,3,2)",20400,19920,"exact",19920,19920],[3,17,"u","(12,3,1,1)",24752,24252,"exact",24252,24252],[3,17,"u","(12,2,2,1)",20944,20680,"exact",20680,20680],[3,17,"u","(12,2,1,1,1)",17017,16874,"exact",16874,16874],[3,17,"u","(12,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,17,"u","(11,6)",6188,6017,"exact",6017,6017],[3,17,"u","(11,5,1)",33320,32802,"exact",32802,32802],[3,17,"u","(11,4,2)",62832,62304,"exact",62304,62304],[3,17,"u","(11,4,1,1)",70720,70212,"exact",70212,70212],[3,17,"u","(11,3,3)",35700,35520,"exact",35520,35520],[3,17,"u","(11,3,2,1)",116688,116292,"exact",116292,116292],[3,17,"u","(11,3,1,1,1)",74256,74094,"exact",74094,74094],[3,17,"u","(11,2,2,2)",37400,37345,"exact",37345,37345],[3,17,"u","(11,2,2,1,1)",68068,68013,"exact",68013,68013],[3,17,"u","(11,2,1,1,1,1)",38675,38675,"exact",38675,38675],[3,17,"u","(11,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[3,17,"u","(10,7)",7072,6948,"exact",6948,6948],[3,17,"u","(10,6,1)",48620,48205,"exact",48205,48205],[3,17,"u","(10,5,2)",123760,123280,"exact",123280,123280],[3,17,"u","(10,5,1,1)",134640,134196,"exact",134196,134196],[3,17,"u","(10,4,3)",129948,129696,"exact",129696,129696],[3,17,"u","(10,4,2,1)",333200,332780,"exact",332780,332780],[3,17,"u","(10,4,1,1,1)",194480,194326,"exact",194326,194326],[3,17,"u","(10,3,3,1)",205632,205488,"exact",205488,205488],[3,17,"u","(10,3,2,2)",209440,209360,"exact",209360,209360],[3,17,"u","(10,3,2,1,1)",353600,353520,"exact",353520,353520],[3,17,"u","(10,3,1,1,1,1)",155584,155584,"exact",155584,155584],[3,17,"u","(10,2,2,2,1)",145860,145860,"exact",145860,145860],[3,17,"u","(10,2,2,1,1,1)",148512,148512,"exact",148512,148512],[3,17,"u","(10,2,1,1,1,1,1)",65637,65637,"exact",65637,65637],[3,17,"u","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[3,17,"u","(9,8)",4862,4797,"exact",4797,4797],[3,17,"u","(9,7,1)",46410,46143,"exact",46143,46143],[3,17,"u","(9,6,2)",159120,158760,"exact",158760,158760],[3,17,"u","(9,6,1,1)",170170,169844,"exact",169844,169844],[3,17,"u","(9,5,3)",247520,247280,"exact",247280,247280],[3,17,"u","(9,5,2,1)",583440,583080,"exact",583080,583080],[3,17,"u","(9,5,1,1,1)",327250,327125,"exact",327125,327125],[3,17,"u","(9,4,4)",129948,129864,"exact",129864,129864],[3,17,"u","(9,4,3,1)",680680,680488,"exact",680488,680488],[3,17,"u","(9,4,2,2)",556920,556839,"exact",556839,556839],[3,17,"u","(9,4,2,1,1)",908820,908739,"exact",908739,908739],[3,17,"u","(9,4,1,1,1,1)",364650,364650,"exact",364650,364650],[3,17,"u","(9,3,3,2)",433160,433132,"exact",433132,433132],[3,17,"u","(9,3,3,1,1)",586432,586404,"exact",586404,586404],[3,17,"u","(9,3,2,2,1)",749700,749700,"exact",749700,749700],[3,17,"u","(9,3,2,1,1,1)",700128,700128,"exact",700128,700128],[3,17,"u","(9,3,1,1,1,1,1)",238238,238238,"exact",238238,238238],[3,17,"u","(9,2,2,2,2)",157080,157080,"exact",157080,157080],[3,17,"u","(9,2,2,2,1,1)",318240,318240,"exact",318240,318240],[3,17,"u","(9,2,2,1,1,1,1)",233376,233376,"exact",233376,233376],[3,17,"u","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[3,17,"u","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[3,17,"u","(8,8,1)",19448,19356,"exact",19356,19356],[3,17,"u","(8,7,2)",116688,116496,"exact",116496,116496],[3,17,"u","(8,7,1,1)",123760,123588,"exact",123588,123588],[3,17,"u","(8,6,3)",272272,272104,"exact",272104,272104],[3,17,"u","(8,6,2,1)",618800,618560,"exact",618560,618560],[3,17,"u","(8,6,1,1,1)",340340,340259,"exact",340259,340259],[3,17,"u","(8,5,4)",272272,272176,"exact",272176,272176],[3,17,"u","(8,5,3,1)",1113840,1113672,"exact",1113672,1113672],[3,17,"u","(8,5,2,2)",848640,848576,"exact",848576,848576],[3,17,"u","(8,5,2,1,1)",1361360,1361296,"exact",1361296,1361296],[3,17,"u","(8,5,1,1,1,1)",523600,523600,"exact",523600,523600],[3,17,"u","(8,4,4,1)",618800,618740,"exact",618740,618740],[3,17,"u","(8,4,3,2)",1299480,1299445,"exact",1299445,1299445],[3,17,"u","(8,4,3,1,1)",1701700,1701665,"exact",1701665,1701665],[3,17,"u","(8,4,2,2,1)",1750320,1750320,"exact",1750320,1750320],[3,17,"u","(8,4,2,1,1,1)",1570800,1570800,"exact",1570800,1570800],[3,17,"u","(8,4,1,1,1,1,1)",486200,486200,"exact",486200,486200],[3,17,"u","(8,3,3,3)",346528,346528,"exact",346528,346528],[3,17,"u","(8,3,3,2,1)",1429428,1429428,"exact",1429428,1429428],[3,17,"u","(8,3,3,1,1,1)",1047200,1047200,"exact",1047200,1047200],[3,17,"u","(8,3,2,2,2)",742560,742560,"exact",742560,742560],[3,17,"u","(8,3,2,2,1,1)",1454112,1454112,"exact",1454112,1454112],[3,17,"u","(8,3,2,1,1,1,1)",972400,972400,"exact",972400,972400],[3,17,"u","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[3,17,"u","(8,2,2,2,2,1)",399840,399840,"exact",399840,399840],[3,17,"u","(8,2,2,2,1,1,1)",466752,466752,"exact",466752,466752],[3,17,"u","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[3,17,"u","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[3,17,"u","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[3,17,"u","(7,7,3)",121550,121490,"exact",121490,121490],[3,17,"u","(7,7,2,1)",272272,272188,"exact",272188,272188],[3,17,"u","(7,7,1,1,1)",148512,148484,"exact",148484,148484],[3,17,"u","(7,6,4)",243100,243040,"exact",243040,243040],[3,17,"u","(7,6,3,1)",918918,918822,"exact",918822,918822],[3,17,"u","(7,6,2,2)",680680,680645,"exact",680645,680645],[3,17,"u","(7,6,2,1,1)",1082900,1082865,"exact",1082865,1082865],[3,17,"u","(7,6,1,1,1,1)",408408,408408,"exact",408408,408408],[3,17,"u","(7,5,5)",136136,136112,"exact",136112,136112],[3,17,"u","(7,5,4,1)",1050192,1050132,"exact",1050132,1050132],[3,17,"u","(7,5,3,2)",1750320,1750293,"exact",1750293,1750293],[3,17,"u","(7,5,3,1,1)",2255526,2255499,"exact",2255499,2255499],[3,17,"u","(7,5,2,2,1)",2165800,2165800,"exact",2165800,2165800],[3,17,"u","(7,5,2,1,1,1)",1905904,1905904,"exact",1905904,1905904],[3,17,"u","(7,5,1,1,1,1,1)",565488,565488,"exact",565488,565488],[3,17,"u","(7,4,4,2)",1089088,1089078,"exact",1089078,1089078],[3,17,"u","(7,4,4,1,1)",1326000,1325990,"exact",1325990,1325990],[3,17,"u","(7,4,3,3)",952952,952952,"exact",952952,952952],[3,17,"u","(7,4,3,2,1)",3620864,3620864,"exact",3620864,3620864],[3,17,"u","(7,4,3,1,1,1)",2552550,2552550,"exact",2552550,2552550],[3,17,"u","(7,4,2,2,2)",1485120,1485120,"exact",1485120,1485120],[3,17,"u","(7,4,2,2,1,1)",2858856,2858856,"exact",2858856,2858856],[3,17,"u","(7,4,2,1,1,1,1)",1832600,1832600,"exact",1832600,1832600],[3,17,"u","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[3,17,"u","(7,3,3,3,1)",1082900,1082900,"exact",1082900,1082900],[3,17,"u","(7,3,3,2,2)",1336608,1336608,"exact",1336608,1336608],[3,17,"u","(7,3,3,2,1,1)",2431000,2431000,"exact",2431000,2431000],[3,17,"u","(7,3,3,1,1,1,1)",1262250,1262250,"exact",1262250,1262250],[3,17,"u","(7,3,2,2,2,1)",1633632,1633632,"exact",1633632,1633632],[3,17,"u","(7,3,2,2,1,1,1)",1832600,1832600,"exact",1832600,1832600],[3,17,"u","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[3,17,"u","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[3,17,"u","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[3,17,"u","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[3,17,"u","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[3,17,"u","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[3,17,"u","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[3,17,"u","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[3,17,"u","(6,6,5)",87516,87504,"exact",87504,87504],[3,17,"u","(6,6,4,1)",544544,544520,"exact",544520,544520],[3,17,"u","(6,6,3,2)",850850,850840,"exact",850840,850840],[3,17,"u","(6,6,3,1,1)",1089088,1089078,"exact",1089078,1089078],[3,17,"u","(6,6,2,2,1)",1021020,1021020,"exact",1021020,1021020],[3,17,"u","(6,6,2,1,1,1)",891072,891072,"exact",891072,891072],[3,17,"u","(6,6,1,1,1,1,1)",259896,259896,"exact",259896,259896],[3,17,"u","(6,5,5,1)",388960,388948,"exact",388948,388948],[3,17,"u","(6,5,4,2)",1361360,1361352,"exact",1361352,1361352],[3,17,"u","(6,5,4,1,1)",1633632,1633624,"exact",1633624,1633624],[3,17,"u","(6,5,3,3)",972400,972400,"exact",972400,972400],[3,17,"u","(6,5,3,2,1)",3573570,3573570,"exact",3573570,3573570],[3,17,"u","(6,5,3,1,1,1)",2475200,2475200,"exact",2475200,2475200],[3,17,"u","(6,5,2,2,2)",1361360,1361360,"exact",1361360,1361360],[3,17,"u","(6,5,2,2,1,1)",2598960,2598960,"exact",2598960,2598960],[3,17,"u","(6,5,2,1,1,1,1)",1633632,1633632,"exact",1633632,1633632],[3,17,"u","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[3,17,"u","(6,4,4,3)",816816,816816,"exact",816816,816816],[3,17,"u","(6,4,4,2,1)",2450448,2450448,"exact",2450448,2450448],[3,17,"u","(6,4,4,1,1,1)",1591200,1591200,"exact",1591200,1591200],[3,17,"u","(6,4,3,3,1)",2362932,2362932,"exact",2362932,2362932],[3,17,"u","(6,4,3,2,2)",2722720,2722720,"exact",2722720,2722720],[3,17,"u","(6,4,3,2,1,1)",4873050,4873050,"exact",4873050,4873050],[3,17,"u","(6,4,3,1,1,1,1)",2431000,2431000,"exact",2431000,2431000],[3,17,"u","(6,4,2,2,2,1)",2598960,2598960,"exact",2598960,2598960],[3,17,"u","(6,4,2,2,1,1,1)",2858856,2858856,"exact",2858856,2858856],[3,17,"u","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[3,17,"u","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[3,17,"u","(6,3,3,3,2)",1089088,1089088,"exact",1089088,1089088],[3,17,"u","(6,3,3,3,1,1)",1591200,1591200,"exact",1591200,1591200],[3,17,"u","(6,3,3,2,2,1)",2475200,2475200,"exact",2475200,2475200],[3,17,"u","(6,3,3,2,1,1,1)",2552550,2552550,"exact",2552550,2552550],[3,17,"u","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[3,17,"u","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[3,17,"u","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[3,17,"u","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[3,17,"u","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[3,17,"u","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[3,17,"u","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[3,17,"u","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[3,17,"u","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[3,17,"u","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[3,17,"u","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[3,17,"u","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,17,"u","(5,5,5,2)",291720,291719,"exact",291719,291719],[3,17,"u","(5,5,5,1,1)",340340,340339,"exact",340339,340339],[3,17,"u","(5,5,4,3)",583440,583440,"exact",583440,583440],[3,17,"u","(5,5,4,2,1)",1701700,1701700,"exact",1701700,1701700],[3,17,"u","(5,5,4,1,1,1)",1089088,1089088,"exact",1089088,1089088],[3,17,"u","(5,5,3,3,1)",1361360,1361360,"exact",1361360,1361360],[3,17,"u","(5,5,3,2,2)",1531530,1531530,"exact",1531530,1531530],[3,17,"u","(5,5,3,2,1,1)",2722720,2722720,"exact",2722720,2722720],[3,17,"u","(5,5,3,1,1,1,1)",1336608,1336608,"exact",1336608,1336608],[3,17,"u","(5,5,2,2,2,1)",1361360,1361360,"exact",1361360,1361360],[3,17,"u","(5,5,2,2,1,1,1)",1485120,1485120,"exact",1485120,1485120],[3,17,"u","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[3,17,"u","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[3,17,"u","(5,4,4,4)",204204,204204,"exact",204204,204204],[3,17,"u","(5,4,4,3,1)",1458600,1458600,"exact",1458600,1458600],[3,17,"u","(5,4,4,2,2)",1361360,1361360,"exact",1361360,1361360],[3,17,"u","(5,4,4,2,1,1)",2362932,2362932,"exact",2362932,2362932],[3,17,"u","(5,4,4,1,1,1,1)",1082900,1082900,"exact",1082900,1082900],[3,17,"u","(5,4,3,3,2)",1701700,1701700,"exact",1701700,1701700],[3,17,"u","(5,4,3,3,1,1)",2450448,2450448,"exact",2450448,2450448],[3,17,"u","(5,4,3,2,2,1)",3573570,3573570,"exact",3573570,3573570],[3,17,"u","(5,4,3,2,1,1,1)",3620864,3620864,"exact",3620864,3620864],[3,17,"u","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[3,17,"u","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[3,17,"u","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[3,17,"u","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[3,17,"u","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[3,17,"u","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[3,17,"u","(5,3,3,3,3)",340340,340340,"exact",340340,340340],[3,17,"u","(5,3,3,3,2,1)",1633632,1633632,"exact",1633632,1633632],[3,17,"u","(5,3,3,3,1,1,1)",1326000,1326000,"exact",1326000,1326000],[3,17,"u","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[3,17,"u","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[3,17,"u","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[3,17,"u","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[3,17,"u","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[3,17,"u","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[3,17,"u","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[3,17,"u","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[3,17,"u","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[3,17,"u","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[3,17,"u","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[3,17,"u","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[3,17,"u","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[3,17,"u","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[3,17,"u","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[3,17,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[3,17,"u","(4,4,4,4,1)",204204,204204,"exact",204204,204204],[3,17,"u","(4,4,4,3,2)",583440,583440,"exact",583440,583440],[3,17,"u","(4,4,4,3,1,1)",816816,816816,"exact",816816,816816],[3,17,"u","(4,4,4,2,2,1)",972400,972400,"exact",972400,972400],[3,17,"u","(4,4,4,2,1,1,1)",952952,952952,"exact",952952,952952],[3,17,"u","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[3,17,"u","(4,4,3,3,3)",291720,291720,"exact",291720,291720],[3,17,"u","(4,4,3,3,2,1)",1361360,1361360,"exact",1361360,1361360],[3,17,"u","(4,4,3,3,1,1,1)",1089088,1089088,"exact",1089088,1089088],[3,17,"u","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[3,17,"u","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[3,17,"u","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[3,17,"u","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[3,17,"u","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[3,17,"u","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[3,17,"u","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[3,17,"u","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[3,17,"u","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[3,17,"u","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[3,17,"u","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[3,17,"u","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[3,17,"u","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[3,17,"u","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[3,17,"u","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[3,17,"u","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[3,17,"u","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[3,17,"u","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[3,17,"u","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[3,17,"u","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[3,17,"u","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[3,17,"u","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[3,17,"u","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[3,17,"u","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[3,17,"u","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[3,17,"u","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[3,17,"u","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[3,17,"u","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[3,17,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[3,17,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,17,"u","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[3,17,"u","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[3,17,"u","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[3,17,"u","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[3,17,"u","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"u","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[3,17,"u","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[3,17,"u","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[3,17,"u","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"u","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[3,17,"u","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[3,17,"u","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[3,17,"u","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[3,17,"u","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[3,17,"u","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[3,17,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[3,17,"u","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[3,17,"u","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[3,17,"u","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[3,17,"u","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[3,17,"u","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[3,17,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[3,17,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[3,17,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[3,17,"u","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[3,17,"u","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[3,17,"u","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,17,"u","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[3,17,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[3,17,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[3,17,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[3,17,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[3,17,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,18,"u","(18)",1,0,"exact",0,0],[3,18,"u","(17,1)",17,0,"exact",0,0],[3,18,"u","(16,2)",135,0,"exact",0,0],[3,18,"u","(16,1,1)",136,0,"exact",0,0],[3,18,"u","(15,3)",663,455,"exact",455,455],[3,18,"u","(15,2,1)",1344,910,"exact",910,910],[3,18,"u","(15,1,1,1)",680,455,"exact",455,455],[3,18,"u","(14,4)",2244,2002,"exact",2002,2002],[3,18,"u","(14,3,1)",6885,6279,"exact",6279,6279],[3,18,"u","(14,2,2)",4641,4277,"exact",4277,4277],[3,18,"u","(14,2,1,1)",7020,6552,"exact",6552,6552],[3,18,"u","(14,1,1,1,1)",2380,2275,"exact",2275,2275],[3,18,"u","(13,5)",5508,5265,"exact",5265,5265],[3,18,"u","(13,4,1)",22848,22178,"exact",22178,22178],[3,18,"u","(13,3,2)",29172,28600,"exact",28600,28600],[3,18,"u","(13,3,1,1)",35343,34749,"exact",34749,34749],[3,18,"u","(13,2,2,1)",29835,29523,"exact",29523,29523],[3,18,"u","(13,2,1,1,1)",24192,24024,"exact",24024,24024],[3,18,"u","(13,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,18,"u","(12,6)",9996,9779,"exact",9779,9779],[3,18,"u","(12,5,1)",53040,52396,"exact",52396,52396],[3,18,"u","(12,4,2)",99144,98496,"exact",98496,98496],[3,18,"u","(12,4,1,1)",111384,110763,"exact",110763,110763],[3,18,"u","(12,3,3)",56100,55880,"exact",55880,55880],[3,18,"u","(12,3,2,1)",182784,182304,"exact",182304,182304],[3,18,"u","(12,3,1,1,1)",116025,115830,"exact",115830,115830],[3,18,"u","(12,2,2,2)",58344,58278,"exact",58278,58278],[3,18,"u","(12,2,2,1,1)",106029,105963,"exact",105963,105963],[3,18,"u","(12,2,1,1,1,1)",60060,60060,"exact",60060,60060],[3,18,"u","(12,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[3,18,"u","(11,7)",13260,13090,"exact",13090,13090],[3,18,"u","(11,6,1)",88128,87582,"exact",87582,87582],[3,18,"u","(11,5,2)",219912,219296,"exact",219296,219296],[3,18,"u","(11,5,1,1)",238680,238113,"exact",238113,238113],[3,18,"u","(11,4,3)",228480,228160,"exact",228160,228160],[3,18,"u","(11,4,2,1)",583440,582912,"exact",582912,582912],[3,18,"u","(11,4,1,1,1)",339456,339264,"exact",339264,339264],[3,18,"u","(11,3,3,1)",358020,357840,"exact",357840,357840],[3,18,"u","(11,3,2,2)",363528,363429,"exact",363429,363429],[3,18,"u","(11,3,2,1,1)",612612,612513,"exact",612513,612513],[3,18,"u","(11,3,1,1,1,1)",268515,268515,"exact",268515,268515],[3,18,"u","(11,2,2,2,1)",251328,251328,"exact",251328,251328],[3,18,"u","(11,2,2,1,1,1)",255255,255255,"exact",255255,255255],[3,18,"u","(11,2,1,1,1,1,1)",112320,112320,"exact",112320,112320],[3,18,"u","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[3,18,"u","(10,8)",11934,11826,"exact",11826,11826],[3,18,"u","(10,7,1)",102102,101708,"exact",101708,101708],[3,18,"u","(10,6,2)",331500,331000,"exact",331000,331000],[3,18,"u","(10,6,1,1)",353430,352980,"exact",352980,352980],[3,18,"u","(10,5,3)",501228,500904,"exact",500904,500904],[3,18,"u","(10,5,2,1)",1175040,1174560,"exact",1174560,1174560],[3,18,"u","(10,5,1,1,1)",656370,656205,"exact",656205,656205],[3,18,"u","(10,4,4)",259896,259784,"exact",259784,259784],[3,18,"u","(10,4,3,1)",1349460,1349208,"exact",1349208,1349208],[3,18,"u","(10,4,2,2)",1099560,1099455,"exact",1099455,1099455],[3,18,"u","(10,4,2,1,1)",1790100,1789995,"exact",1789995,1789995],[3,18,"u","(10,4,1,1,1,1)",714714,714714,"exact",714714,714714],[3,18,"u","(10,3,3,2)",848232,848196,"exact",848196,848196],[3,18,"u","(10,3,3,1,1)",1145664,1145628,"exact",1145628,1145628],[3,18,"u","(10,3,2,2,1)",1458600,1458600,"exact",1458600,1458600],[3,18,"u","(10,3,2,1,1,1)",1357824,1357824,"exact",1357824,1357824],[3,18,"u","(10,3,1,1,1,1,1)",459459,459459,"exact",459459,459459],[3,18,"u","(10,2,2,2,2)",302940,302940,"exact",302940,302940],[3,18,"u","(10,2,2,2,1,1)",612612,612612,"exact",612612,612612],[3,18,"u","(10,2,2,1,1,1,1)",447525,447525,"exact",447525,447525],[3,18,"u","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[3,18,"u","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"u","(9,9)",4862,4825,"exact",4825,4825],[3,18,"u","(9,8,1)",70720,70514,"exact",70514,70514],[3,18,"u","(9,7,2)",322218,321894,"exact",321894,321894],[3,18,"u","(9,7,1,1)",340340,340052,"exact",340052,340052],[3,18,"u","(9,6,3)",678912,678656,"exact",678656,678656],[3,18,"u","(9,6,2,1)",1531530,1531170,"exact",1531170,1531170],[3,18,"u","(9,6,1,1,1)",837760,837640,"exact",837640,837640],[3,18,"u","(9,5,4)",649740,649600,"exact",649600,649600],[3,18,"u","(9,5,3,1)",2625480,2625240,"exact",2625240,2625240],[3,18,"u","(9,5,2,2)",1989000,1988910,"exact",1988910,1988910],[3,18,"u","(9,5,2,1,1)",3180870,3180780,"exact",3180780,3180780],[3,18,"u","(9,5,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[3,18,"u","(9,4,4,1)",1429428,1429344,"exact",1429344,1429344],[3,18,"u","(9,4,3,2)",2970240,2970192,"exact",2970192,2970192],[3,18,"u","(9,4,3,1,1)",3877632,3877584,"exact",3877584,3877584],[3,18,"u","(9,4,2,2,1)",3965760,3965760,"exact",3965760,3965760],[3,18,"u","(9,4,2,1,1,1)",3544398,3544398,"exact",3544398,3544398],[3,18,"u","(9,4,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[3,18,"u","(9,3,3,3)",779688,779688,"exact",779688,779688],[3,18,"u","(9,3,3,2,1)",3198720,3198720,"exact",3198720,3198720],[3,18,"u","(9,3,3,1,1,1)",2333760,2333760,"exact",2333760,2333760],[3,18,"u","(9,3,2,2,2)",1649340,1649340,"exact",1649340,1649340],[3,18,"u","(9,3,2,2,1,1)",3222180,3222180,"exact",3222180,3222180],[3,18,"u","(9,3,2,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[3,18,"u","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[3,18,"u","(9,2,2,2,2,1)",875160,875160,"exact",875160,875160],[3,18,"u","(9,2,2,2,1,1,1)",1018368,1018368,"exact",1018368,1018368],[3,18,"u","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[3,18,"u","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[3,18,"u","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"u","(8,8,2)",136136,136024,"exact",136024,136024],[3,18,"u","(8,8,1,1)",143208,143109,"exact",143109,143109],[3,18,"u","(8,7,3)",510510,510370,"exact",510370,510370],[3,18,"u","(8,7,2,1)",1131520,1131328,"exact",1131328,1131328],[3,18,"u","(8,7,1,1,1)",612612,612549,"exact",612549,612549],[3,18,"u","(8,6,4)",787644,787536,"exact",787536,787536],[3,18,"u","(8,6,3,1)",2923830,2923662,"exact",2923662,2923662],[3,18,"u","(8,6,2,2)",2148120,2148060,"exact",2148060,2148060],[3,18,"u","(8,6,2,1,1)",3403400,3403340,"exact",3403340,3403340],[3,18,"u","(8,6,1,1,1,1)",1272348,1272348,"exact",1272348,1272348],[3,18,"u","(8,5,5)",408408,408368,"exact",408368,408368],[3,18,"u","(8,5,4,1)",3055104,3055008,"exact",3055008,3055008],[3,18,"u","(8,5,3,2)",5012280,5012238,"exact",5012238,5012238],[3,18,"u","(8,5,3,1,1)",6432426,6432384,"exact",6432384,6432384],[3,18,"u","(8,5,2,2,1)",6126120,6126120,"exact",6126120,6126120],[3,18,"u","(8,5,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[3,18,"u","(8,5,1,1,1,1,1)",1575288,1575288,"exact",1575288,1575288],[3,18,"u","(8,4,4,2)",3007368,3007353,"exact",3007353,3007353],[3,18,"u","(8,4,4,1,1)",3646500,3646485,"exact",3646485,3646485],[3,18,"u","(8,4,3,3)",2598960,2598960,"exact",2598960,2598960],[3,18,"u","(8,4,3,2,1)",9801792,9801792,"exact",9801792,9801792],[3,18,"u","(8,4,3,1,1,1)",6872250,6872250,"exact",6872250,6872250],[3,18,"u","(8,4,2,2,2)",3978000,3978000,"exact",3978000,3978000],[3,18,"u","(8,4,2,2,1,1)",7634088,7634088,"exact",7634088,7634088],[3,18,"u","(8,4,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[3,18,"u","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[3,18,"u","(8,3,3,3,1)",2858856,2858856,"exact",2858856,2858856],[3,18,"u","(8,3,3,2,2)",3508596,3508596,"exact",3508596,3508596],[3,18,"u","(8,3,3,2,1,1)",6361740,6361740,"exact",6361740,6361740],[3,18,"u","(8,3,3,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[3,18,"u","(8,3,2,2,2,1)",4230144,4230144,"exact",4230144,4230144],[3,18,"u","(8,3,2,2,1,1,1)",4725864,4725864,"exact",4725864,4725864],[3,18,"u","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[3,18,"u","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[3,18,"u","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[3,18,"u","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[3,18,"u","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[3,18,"u","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[3,18,"u","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[3,18,"u","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[3,18,"u","(7,7,4)",364650,364610,"exact",364610,364610],[3,18,"u","(7,7,3,1)",1312740,1312680,"exact",1312680,1312680],[3,18,"u","(7,7,2,2)",952952,952931,"exact",952931,952931],[3,18,"u","(7,7,2,1,1)",1503684,1503663,"exact",1503663,1503663],[3,18,"u","(7,7,1,1,1,1)",556920,556920,"exact",556920,556920],[3,18,"u","(7,6,5)",466752,466720,"exact",466720,466720],[3,18,"u","(7,6,4,1)",2756754,2756694,"exact",2756694,2756694],[3,18,"u","(7,6,3,2)",4200768,4200744,"exact",4200744,4200744],[3,18,"u","(7,6,3,1,1)",5346432,5346408,"exact",5346408,5346408],[3,18,"u","(7,6,2,2,1)",4950400,4950400,"exact",4950400,4950400],[3,18,"u","(7,6,2,1,1,1)",4288284,4288284,"exact",4288284,4288284],[3,18,"u","(7,6,1,1,1,1,1)",1233792,1233792,"exact",1233792,1233792],[3,18,"u","(7,5,5,1)",1575288,1575264,"exact",1575264,1575264],[3,18,"u","(7,5,4,2)",5250960,5250945,"exact",5250945,5250945],[3,18,"u","(7,5,4,1,1)",6265350,6265335,"exact",6265335,6265335],[3,18,"u","(7,5,3,3)",3675672,3675672,"exact",3675672,3675672],[3,18,"u","(7,5,3,2,1)",13366080,13366080,"exact",13366080,13366080],[3,18,"u","(7,5,3,1,1,1)",9189180,9189180,"exact",9189180,9189180],[3,18,"u","(7,5,2,2,2)",5012280,5012280,"exact",5012280,5012280],[3,18,"u","(7,5,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[3,18,"u","(7,5,2,1,1,1,1)",5937624,5937624,"exact",5937624,5937624],[3,18,"u","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[3,18,"u","(7,4,4,3)",2858856,2858856,"exact",2858856,2858856],[3,18,"u","(7,4,4,2,1)",8486400,8486400,"exact",8486400,8486400],[3,18,"u","(7,4,4,1,1,1)",5469750,5469750,"exact",5469750,5469750],[3,18,"u","(7,4,3,3,1)",8019648,8019648,"exact",8019648,8019648],[3,18,"u","(7,4,3,2,2)",9165312,9165312,"exact",9165312,9165312],[3,18,"u","(7,4,3,2,1,1)",16336320,16336320,"exact",16336320,16336320],[3,18,"u","(7,4,3,1,1,1,1)",8078400,8078400,"exact",8078400,8078400],[3,18,"u","(7,4,2,2,2,1)",8576568,8576568,"exact",8576568,8576568],[3,18,"u","(7,4,2,2,1,1,1)",9382912,9382912,"exact",9382912,9382912],[3,18,"u","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[3,18,"u","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[3,18,"u","(7,3,3,3,2)",3508596,3508596,"exact",3508596,3508596],[3,18,"u","(7,3,3,3,1,1)",5105100,5105100,"exact",5105100,5105100],[3,18,"u","(7,3,3,2,2,1)",7876440,7876440,"exact",7876440,7876440],[3,18,"u","(7,3,3,2,1,1,1)",8078400,8078400,"exact",8078400,8078400],[3,18,"u","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[3,18,"u","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[3,18,"u","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[3,18,"u","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[3,18,"u","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[3,18,"u","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[3,18,"u","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[3,18,"u","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[3,18,"u","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[3,18,"u","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[3,18,"u","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[3,18,"u","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[3,18,"u","(6,6,6)",87516,87512,"exact",87512,87512],[3,18,"u","(6,6,5,1)",1021020,1021008,"exact",1021008,1021008],[3,18,"u","(6,6,4,2)",2756754,2756748,"exact",2756748,2756748],[3,18,"u","(6,6,4,1,1)",3267264,3267258,"exact",3267258,3267258],[3,18,"u","(6,6,3,3)",1823250,1823250,"exact",1823250,1823250],[3,18,"u","(6,6,3,2,1)",6534528,6534528,"exact",6534528,6534528],[3,18,"u","(6,6,3,1,1,1)",4455360,4455360,"exact",4455360,4455360],[3,18,"u","(6,6,2,2,2)",2382380,2382380,"exact",2382380,2382380],[3,18,"u","(6,6,2,2,1,1)",4511052,4511052,"exact",4511052,4511052],[3,18,"u","(6,6,2,1,1,1,1)",2784600,2784600,"exact",2784600,2784600],[3,18,"u","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[3,18,"u","(6,5,5,2)",2042040,2042037,"exact",2042037,2042037],[3,18,"u","(6,5,5,1,1)",2362932,2362929,"exact",2362929,2362929],[3,18,"u","(6,5,4,3)",3734016,3734016,"exact",3734016,3734016],[3,18,"u","(6,5,4,2,1)",10720710,10720710,"exact",10720710,10720710],[3,18,"u","(6,5,4,1,1,1)",6789120,6789120,"exact",6789120,6789120],[3,18,"u","(6,5,3,3,1)",8270262,8270262,"exact",8270262,8270262],[3,18,"u","(6,5,3,2,2)",9189180,9189180,"exact",9189180,9189180],[3,18,"u","(6,5,3,2,1,1)",16243500,16243500,"exact",16243500,16243500],[3,18,"u","(6,5,3,1,1,1,1)",7876440,7876440,"exact",7876440,7876440],[3,18,"u","(6,5,2,2,2,1)",7920640,7920640,"exact",7920640,7920640],[3,18,"u","(6,5,2,2,1,1,1)",8576568,8576568,"exact",8576568,8576568],[3,18,"u","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[3,18,"u","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[3,18,"u","(6,4,4,4)",1021020,1021020,"exact",1021020,1021020],[3,18,"u","(6,4,4,3,1)",7088796,7088796,"exact",7088796,7088796],[3,18,"u","(6,4,4,2,2)",6534528,6534528,"exact",6534528,6534528],[3,18,"u","(6,4,4,2,1,1)",11277630,11277630,"exact",11277630,11277630],[3,18,"u","(6,4,4,1,1,1,1)",5105100,5105100,"exact",5105100,5105100],[3,18,"u","(6,4,3,3,2)",7876440,7876440,"exact",7876440,7876440],[3,18,"u","(6,4,3,3,1,1)",11277630,11277630,"exact",11277630,11277630],[3,18,"u","(6,4,3,2,2,1)",16243500,16243500,"exact",16243500,16243500],[3,18,"u","(6,4,3,2,1,1,1)",16336320,16336320,"exact",16336320,16336320],[3,18,"u","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[3,18,"u","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[3,18,"u","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[3,18,"u","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[3,18,"u","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[3,18,"u","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"u","(6,3,3,3,3)",1429428,1429428,"exact",1429428,1429428],[3,18,"u","(6,3,3,3,2,1)",6789120,6789120,"exact",6789120,6789120],[3,18,"u","(6,3,3,3,1,1,1)",5469750,5469750,"exact",5469750,5469750],[3,18,"u","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[3,18,"u","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[3,18,"u","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[3,18,"u","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[3,18,"u","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[3,18,"u","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[3,18,"u","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[3,18,"u","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[3,18,"u","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[3,18,"u","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[3,18,"u","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[3,18,"u","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[3,18,"u","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[3,18,"u","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[3,18,"u","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[3,18,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,18,"u","(5,5,5,3)",875160,875160,"exact",875160,875160],[3,18,"u","(5,5,5,2,1)",2333760,2333760,"exact",2333760,2333760],[3,18,"u","(5,5,5,1,1,1)",1429428,1429428,"exact",1429428,1429428],[3,18,"u","(5,5,4,4)",787644,787644,"exact",787644,787644],[3,18,"u","(5,5,4,3,1)",5105100,5105100,"exact",5105100,5105100],[3,18,"u","(5,5,4,2,2)",4594590,4594590,"exact",4594590,4594590],[3,18,"u","(5,5,4,2,1,1)",7876440,7876440,"exact",7876440,7876440],[3,18,"u","(5,5,4,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[3,18,"u","(5,5,3,3,2)",4594590,4594590,"exact",4594590,4594590],[3,18,"u","(5,5,3,3,1,1)",6534528,6534528,"exact",6534528,6534528],[3,18,"u","(5,5,3,2,2,1)",9189180,9189180,"exact",9189180,9189180],[3,18,"u","(5,5,3,2,1,1,1)",9165312,9165312,"exact",9165312,9165312],[3,18,"u","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[3,18,"u","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[3,18,"u","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[3,18,"u","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[3,18,"u","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[3,18,"u","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[3,18,"u","(5,4,4,4,1)",1867008,1867008,"exact",1867008,1867008],[3,18,"u","(5,4,4,3,2)",5105100,5105100,"exact",5105100,5105100],[3,18,"u","(5,4,4,3,1,1)",7088796,7088796,"exact",7088796,7088796],[3,18,"u","(5,4,4,2,2,1)",8270262,8270262,"exact",8270262,8270262],[3,18,"u","(5,4,4,2,1,1,1)",8019648,8019648,"exact",8019648,8019648],[3,18,"u","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[3,18,"u","(5,4,3,3,3)",2333760,2333760,"exact",2333760,2333760],[3,18,"u","(5,4,3,3,2,1)",10720710,10720710,"exact",10720710,10720710],[3,18,"u","(5,4,3,3,1,1,1)",8486400,8486400,"exact",8486400,8486400],[3,18,"u","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[3,18,"u","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[3,18,"u","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[3,18,"u","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[3,18,"u","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[3,18,"u","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[3,18,"u","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[3,18,"u","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[3,18,"u","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[3,18,"u","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[3,18,"u","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[3,18,"u","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[3,18,"u","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[3,18,"u","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[3,18,"u","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[3,18,"u","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[3,18,"u","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[3,18,"u","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[3,18,"u","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[3,18,"u","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[3,18,"u","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[3,18,"u","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"u","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[3,18,"u","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[3,18,"u","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[3,18,"u","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[3,18,"u","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[3,18,"u","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[3,18,"u","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[3,18,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[3,18,"u","(4,4,4,4,2)",787644,787644,"exact",787644,787644],[3,18,"u","(4,4,4,4,1,1)",1021020,1021020,"exact",1021020,1021020],[3,18,"u","(4,4,4,3,3)",875160,875160,"exact",875160,875160],[3,18,"u","(4,4,4,3,2,1)",3734016,3734016,"exact",3734016,3734016],[3,18,"u","(4,4,4,3,1,1,1)",2858856,2858856,"exact",2858856,2858856],[3,18,"u","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[3,18,"u","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[3,18,"u","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[3,18,"u","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[3,18,"u","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[3,18,"u","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[3,18,"u","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[3,18,"u","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[3,18,"u","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[3,18,"u","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[3,18,"u","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[3,18,"u","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[3,18,"u","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[3,18,"u","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[3,18,"u","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[3,18,"u","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[3,18,"u","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[3,18,"u","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[3,18,"u","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[3,18,"u","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[3,18,"u","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[3,18,"u","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[3,18,"u","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[3,18,"u","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[3,18,"u","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[3,18,"u","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[3,18,"u","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[3,18,"u","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[3,18,"u","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[3,18,"u","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[3,18,"u","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[3,18,"u","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[3,18,"u","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[3,18,"u","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[3,18,"u","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[3,18,"u","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[3,18,"u","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[3,18,"u","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[3,18,"u","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[3,18,"u","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[3,18,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[3,18,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[3,18,"u","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[3,18,"u","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[3,18,"u","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[3,18,"u","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[3,18,"u","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[3,18,"u","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[3,18,"u","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[3,18,"u","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[3,18,"u","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[3,18,"u","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[3,18,"u","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[3,18,"u","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[3,18,"u","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[3,18,"u","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[3,18,"u","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[3,18,"u","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[3,18,"u","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[3,18,"u","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[3,18,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[3,18,"u","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[3,18,"u","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[3,18,"u","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[3,18,"u","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[3,18,"u","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[3,18,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[3,18,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[3,18,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[3,18,"u","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[3,18,"u","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[3,18,"u","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[3,18,"u","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[3,18,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[3,18,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[3,18,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[3,18,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[3,18,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[3,18,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,19,"u","(16,3)",798,560,"exact",560,560],[3,19,"u","(16,1,1,1)",816,560,"exact",560,560],[3,19,"u","(16,2,1)",1615,1120,"exact",1120,1120],[3,19,"u","(15,4)",2907,2625,"exact",2625,2625],[3,19,"u","(15,1,1,1,1)",3060,2940,"exact",2940,2940],[3,19,"u","(15,2,2)",5985,5565,"exact",5565,5565],[3,19,"u","(14,5)",7752,7462,"exact",7462,7462],[3,19,"u","(15,3,1)",8892,8190,"exact",8190,8190],[3,19,"u","(15,2,1,1)",9044,8505,"exact",8505,8505],[3,19,"u","(13,6)",15504,15236,"exact",15236,15236],[3,19,"u","(10,9)",16796,16714,"exact",16714,16714],[3,19,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,19,"u","(13,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[3,19,"u","(14,1,1,1,1,1)",8568,8568,"exact",8568,8568],[3,19,"u","(17,1,1)",153,0,"exact",0,0],[3,19,"u","(17,2)",152,0,"exact",0,0],[3,19,"u","(18,1)",18,0,"exact",0,0],[3,19,"u","(19)",1,0,"exact",0,0],[3,19,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[3,19,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",152,152,"exact",152,152],[3,19,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",798,798,"exact",798,798],[3,19,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",2907,2907,"exact",2907,2907],[3,19,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1)",7752,7752,"exact",7752,7752],[3,19,"u","(2,2,2,2,2,2,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[3,19,"u","(2,2,2,2,2,2,2,2,2,1)",16796,16796,"exact",16796,16796],[3,19,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[3,19,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1615,1615,"exact",1615,1615],[3,19,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",8892,8892,"exact",8892,8892],[3,19,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[3,19,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",816,816,"exact",816,816],[3,19,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",9044,9044,"exact",9044,9044],[3,19,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3060,3060,"exact",3060,3060],[3,19,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1)",8568,8568,"exact",8568,8568],[3,19,"u","(7,1,1,1,1,1,1,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[3,20,"u","(17,3)",950,680,"exact",680,680],[3,20,"u","(17,1,1,1)",969,680,"exact",680,680],[3,20,"u","(17,2,1)",1920,1360,"exact",1360,1360],[3,20,"u","(16,4)",3705,3380,"exact",3380,3380],[3,20,"u","(16,1,1,1,1)",3876,3740,"exact",3740,3740],[3,20,"u","(16,2,2)",7600,7120,"exact",7120,7120],[3,20,"u","(15,5)",10659,10318,"exact",10318,10318],[3,20,"u","(16,3,1)",11305,10500,"exact",10500,10500],[3,20,"u","(16,2,1,1)",11475,10860,"exact",10860,10860],[3,20,"u","(10,10)",16796,16750,"exact",16750,16750],[3,20,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,20,"u","(15,1,1,1,1,1)",11628,11628,"exact",11628,11628],[3,20,"u","(18,1,1)",171,0,"exact",0,0],[3,20,"u","(18,2)",170,0,"exact",0,0],[3,20,"u","(19,1)",19,0,"exact",0,0],[3,20,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[3,20,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",170,170,"exact",170,170],[3,20,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",950,950,"exact",950,950],[3,20,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",3705,3705,"exact",3705,3705],[3,20,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1)",10659,10659,"exact",10659,10659],[3,20,"u","(2,2,2,2,2,2,2,2,2,2)",16796,16796,"exact",16796,16796],[3,20,"u","(20)",1,0,"exact",0,0],[3,20,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",171,171,"exact",171,171],[3,20,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1920,1920,"exact",1920,1920],[3,20,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",11305,11305,"exact",11305,11305],[3,20,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7600,7600,"exact",7600,7600],[3,20,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",969,969,"exact",969,969],[3,20,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11475,11475,"exact",11475,11475],[3,20,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3876,3876,"exact",3876,3876],[3,20,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11628,11628,"exact",11628,11628],[3,21,"u","(18,3)",1120,816,"exact",816,816],[3,21,"u","(18,1,1,1)",1140,816,"exact",816,816],[3,21,"u","(18,2,1)",2261,1632,"exact",1632,1632],[3,21,"u","(17,4)",4655,4284,"exact",4284,4284],[3,21,"u","(17,1,1,1,1)",4845,4692,"exact",4692,4692],[3,21,"u","(17,2,2)",9520,8976,"exact",8976,8976],[3,21,"u","(17,3,1)",14175,13260,"exact",13260,13260],[3,21,"u","(16,5)",14364,13968,"exact",13968,13968],[3,21,"u","(17,2,1,1)",14364,13668,"exact",13668,13668],[3,21,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,21,"u","(16,1,1,1,1,1)",15504,15504,"exact",15504,15504],[3,21,"u","(19,1,1)",190,0,"exact",0,0],[3,21,"u","(19,2)",189,0,"exact",0,0],[3,21,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",20,20,"exact",20,20],[3,21,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",189,189,"exact",189,189],[3,21,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1120,1120,"exact",1120,1120],[3,21,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",4655,4655,"exact",4655,4655],[3,21,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[3,21,"u","(20,1)",20,0,"exact",0,0],[3,21,"u","(21)",1,0,"exact",0,0],[3,21,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",190,190,"exact",190,190],[3,21,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2261,2261,"exact",2261,2261],[3,21,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14175,14175,"exact",14175,14175],[3,21,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",9520,9520,"exact",9520,9520],[3,21,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1140,1140,"exact",1140,1140],[3,21,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[3,21,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4845,4845,"exact",4845,4845],[3,21,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[3,22,"u","(19,3)",1309,969,"exact",969,969],[3,22,"u","(19,1,1,1)",1330,969,"exact",969,969],[3,22,"u","(19,2,1)",2640,1938,"exact",1938,1938],[3,22,"u","(18,4)",5775,5355,"exact",5355,5355],[3,22,"u","(18,1,1,1,1)",5985,5814,"exact",5814,5814],[3,22,"u","(18,2,2)",11781,11169,"exact",11169,11169],[3,22,"u","(18,3,1)",17556,16524,"exact",16524,16524],[3,22,"u","(18,2,1,1)",17765,16983,"exact",16983,16983],[3,22,"u","(17,5)",19019,18564,"exact",18564,18564],[3,22,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,22,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",21,21,"exact",21,21],[3,22,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",209,209,"exact",209,209],[3,22,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1309,1309,"exact",1309,1309],[3,22,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5775,5775,"exact",5775,5775],[3,22,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",19019,19019,"exact",19019,19019],[3,22,"u","(20,1,1)",210,0,"exact",0,0],[3,22,"u","(20,2)",209,0,"exact",0,0],[3,22,"u","(21,1)",21,0,"exact",0,0],[3,22,"u","(22)",1,0,"exact",0,0],[3,22,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",210,210,"exact",210,210],[3,22,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[3,22,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17556,17556,"exact",17556,17556],[3,22,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11781,11781,"exact",11781,11781],[3,22,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1330,1330,"exact",1330,1330],[3,22,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17765,17765,"exact",17765,17765],[3,22,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[3,23,"u","(20,3)",1518,1140,"exact",1140,1140],[3,23,"u","(20,1,1,1)",1540,1140,"exact",1140,1140],[3,23,"u","(20,2,1)",3059,2280,"exact",2280,2280],[3,23,"u","(19,4)",7084,6612,"exact",6612,6612],[3,23,"u","(19,1,1,1,1)",7315,7125,"exact",7125,7125],[3,23,"u","(19,2,2)",14421,13737,"exact",13737,13737],[3,23,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,23,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",22,22,"exact",22,22],[3,23,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",230,230,"exact",230,230],[3,23,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1518,1518,"exact",1518,1518],[3,23,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7084,7084,"exact",7084,7084],[3,23,"u","(21,1,1)",231,0,"exact",0,0],[3,23,"u","(21,2)",230,0,"exact",0,0],[3,23,"u","(22,1)",22,0,"exact",0,0],[3,23,"u","(23)",1,0,"exact",0,0],[3,23,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",231,231,"exact",231,231],[3,23,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3059,3059,"exact",3059,3059],[3,23,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14421,14421,"exact",14421,14421],[3,23,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1540,1540,"exact",1540,1540],[3,23,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7315,7315,"exact",7315,7315],[3,24,"u","(21,3)",1748,1330,"exact",1330,1330],[3,24,"u","(21,1,1,1)",1771,1330,"exact",1330,1330],[3,24,"u","(21,2,1)",3520,2660,"exact",2660,2660],[3,24,"u","(20,4)",8602,8075,"exact",8075,8075],[3,24,"u","(20,1,1,1,1)",8855,8645,"exact",8645,8645],[3,24,"u","(20,2,2)",17480,16720,"exact",16720,16720],[3,24,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,24,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",23,23,"exact",23,23],[3,24,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",252,252,"exact",252,252],[3,24,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1748,1748,"exact",1748,1748],[3,24,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8602,8602,"exact",8602,8602],[3,24,"u","(22,1,1)",253,0,"exact",0,0],[3,24,"u","(22,2)",252,0,"exact",0,0],[3,24,"u","(23,1)",23,0,"exact",0,0],[3,24,"u","(24)",1,0,"exact",0,0],[3,24,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",253,253,"exact",253,253],[3,24,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3520,3520,"exact",3520,3520],[3,24,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17480,17480,"exact",17480,17480],[3,24,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1771,1771,"exact",1771,1771],[3,24,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8855,8855,"exact",8855,8855],[3,25,"u","(22,3)",2000,1540,"exact",1540,1540],[3,25,"u","(22,1,1,1)",2024,1540,"exact",1540,1540],[3,25,"u","(22,2,1)",4025,3080,"exact",3080,3080],[3,25,"u","(21,4)",10350,9765,"exact",9765,9765],[3,25,"u","(21,1,1,1,1)",10626,10395,"exact",10395,10395],[3,25,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,25,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",24,24,"exact",24,24],[3,25,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",275,275,"exact",275,275],[3,25,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2000,2000,"exact",2000,2000],[3,25,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10350,10350,"exact",10350,10350],[3,25,"u","(23,1,1)",276,0,"exact",0,0],[3,25,"u","(23,2)",275,0,"exact",0,0],[3,25,"u","(24,1)",24,0,"exact",0,0],[3,25,"u","(25)",1,0,"exact",0,0],[3,25,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",276,276,"exact",276,276],[3,25,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4025,4025,"exact",4025,4025],[3,25,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2024,2024,"exact",2024,2024],[3,25,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10626,10626,"exact",10626,10626],[3,26,"u","(23,3)",2275,1771,"exact",1771,1771],[3,26,"u","(23,1,1,1)",2300,1771,"exact",1771,1771],[3,26,"u","(23,2,1)",4576,3542,"exact",3542,3542],[3,26,"u","(22,4)",12350,11704,"exact",11704,11704],[3,26,"u","(22,1,1,1,1)",12650,12397,"exact",12397,12397],[3,26,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,26,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",25,25,"exact",25,25],[3,26,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",299,299,"exact",299,299],[3,26,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2275,2275,"exact",2275,2275],[3,26,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12350,12350,"exact",12350,12350],[3,26,"u","(24,1,1)",300,0,"exact",0,0],[3,26,"u","(24,2)",299,0,"exact",0,0],[3,26,"u","(25,1)",25,0,"exact",0,0],[3,26,"u","(26)",1,0,"exact",0,0],[3,26,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",300,300,"exact",300,300],[3,26,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4576,4576,"exact",4576,4576],[3,26,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2300,2300,"exact",2300,2300],[3,26,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12650,12650,"exact",12650,12650],[3,27,"u","(24,3)",2574,2024,"exact",2024,2024],[3,27,"u","(24,1,1,1)",2600,2024,"exact",2024,2024],[3,27,"u","(24,2,1)",5175,4048,"exact",4048,4048],[3,27,"u","(23,4)",14625,13915,"exact",13915,13915],[3,27,"u","(23,1,1,1,1)",14950,14674,"exact",14674,14674],[3,27,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,27,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",26,26,"exact",26,26],[3,27,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",324,324,"exact",324,324],[3,27,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2574,2574,"exact",2574,2574],[3,27,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14625,14625,"exact",14625,14625],[3,27,"u","(25,1,1)",325,0,"exact",0,0],[3,27,"u","(25,2)",324,0,"exact",0,0],[3,27,"u","(26,1)",26,0,"exact",0,0],[3,27,"u","(27)",1,0,"exact",0,0],[3,27,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",325,325,"exact",325,325],[3,27,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5175,5175,"exact",5175,5175],[3,27,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2600,2600,"exact",2600,2600],[3,27,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14950,14950,"exact",14950,14950],[3,28,"u","(25,3)",2898,2300,"exact",2300,2300],[3,28,"u","(25,1,1,1)",2925,2300,"exact",2300,2300],[3,28,"u","(25,2,1)",5824,4600,"exact",4600,4600],[3,28,"u","(24,4)",17199,16422,"exact",16422,16422],[3,28,"u","(24,1,1,1,1)",17550,17250,"exact",17250,17250],[3,28,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,28,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",27,27,"exact",27,27],[3,28,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[3,28,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2898,2898,"exact",2898,2898],[3,28,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17199,17199,"exact",17199,17199],[3,28,"u","(26,1,1)",351,0,"exact",0,0],[3,28,"u","(26,2)",350,0,"exact",0,0],[3,28,"u","(27,1)",27,0,"exact",0,0],[3,28,"u","(28)",1,0,"exact",0,0],[3,28,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",351,351,"exact",351,351],[3,28,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5824,5824,"exact",5824,5824],[3,28,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[3,28,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17550,17550,"exact",17550,17550],[3,29,"u","(26,3)",3248,2600,"exact",2600,2600],[3,29,"u","(26,1,1,1)",3276,2600,"exact",2600,2600],[3,29,"u","(26,2,1)",6525,5200,"exact",5200,5200],[3,29,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,29,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",28,28,"exact",28,28],[3,29,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",377,377,"exact",377,377],[3,29,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3248,3248,"exact",3248,3248],[3,29,"u","(27,1,1)",378,0,"exact",0,0],[3,29,"u","(27,2)",377,0,"exact",0,0],[3,29,"u","(28,1)",28,0,"exact",0,0],[3,29,"u","(29)",1,0,"exact",0,0],[3,29,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",378,378,"exact",378,378],[3,29,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",6525,6525,"exact",6525,6525],[3,29,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3276,3276,"exact",3276,3276],[3,30,"u","(27,3)",3625,2925,"exact",2925,2925],[3,30,"u","(27,1,1,1)",3654,2925,"exact",2925,2925],[3,30,"u","(27,2,1)",7280,5850,"exact",5850,5850],[3,30,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,30,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",29,29,"exact",29,29],[3,30,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",405,405,"exact",405,405],[3,30,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3625,3625,"exact",3625,3625],[3,30,"u","(28,1,1)",406,0,"exact",0,0],[3,30,"u","(28,2)",405,0,"exact",0,0],[3,30,"u","(29,1)",29,0,"exact",0,0],[3,30,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",406,406,"exact",406,406],[3,30,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7280,7280,"exact",7280,7280],[3,30,"u","(30)",1,0,"exact",0,0],[3,30,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3654,3654,"exact",3654,3654],[3,31,"u","(28,3)",4030,3276,"exact",3276,3276],[3,31,"u","(28,1,1,1)",4060,3276,"exact",3276,3276],[3,31,"u","(28,2,1)",8091,6552,"exact",6552,6552],[3,31,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,31,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",30,30,"exact",30,30],[3,31,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",434,434,"exact",434,434],[3,31,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4030,4030,"exact",4030,4030],[3,31,"u","(29,1,1)",435,0,"exact",0,0],[3,31,"u","(29,2)",434,0,"exact",0,0],[3,31,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",435,435,"exact",435,435],[3,31,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8091,8091,"exact",8091,8091],[3,31,"u","(30,1)",30,0,"exact",0,0],[3,31,"u","(31)",1,0,"exact",0,0],[3,31,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4060,4060,"exact",4060,4060],[4,12,"c","(2,2,2,2,2,2)",132,1,"exact",1,1],[4,12,"c","(3,2,2,2,2,1)",1155,1,"exact",1,1],[4,12,"c","(3,3,3,1,1,1)",1650,1,"exact",1,1],[4,12,"c","(3,3,2,2,1,1)",2673,1,"exact",1,1],[4,15,"c","(10,1,1,1,1,1)",2002,1,"lower 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],[4,11,"f","(4,4,2,1)",1320,0,"exact",0,0],[4,11,"f","(4,4,3)",462,0,"exact",0,0],[4,11,"f","(5,1,1,1,1,1,1)",210,12,"exact",12,12],[4,11,"f","(5,2,1,1,1,1)",924,10,"exact",10,10],[4,11,"f","(5,2,2,2)",825,0,"exact",0,0],[4,11,"f","(5,3,1,1,1)",1540,1,"exact",1,1],[4,11,"f","(5,3,2,1)",2310,0,"exact",0,0],[4,11,"f","(5,3,3)",660,0,"exact",0,0],[4,11,"f","(5,4,1,1)",1155,0,"exact",0,0],[4,11,"f","(5,4,2)",990,0,"exact",0,0],[4,11,"f","(5,5,1)",330,0,"exact",0,0],[4,11,"f","(6,1,1,1,1,1)",252,1,"exact",1,1],[4,11,"f","(6,2,1,1,1)",924,0,"exact",0,0],[4,11,"f","(6,2,2,1)",1100,0,"exact",0,0],[4,11,"f","(6,3,1,1)",1232,0,"exact",0,0],[4,11,"f","(6,3,2)",990,0,"exact",0,0],[4,11,"f","(6,4,1)",693,0,"exact",0,0],[4,11,"f","(6,5)",132,0,"exact",0,0],[4,11,"f","(7,1,1,1,1)",210,0,"exact",0,0],[4,11,"f","(7,2,1,1)",594,0,"exact",0,0],[4,11,"f","(7,2,2)",385,0,"exact",0,0],[4,11,"f","(7,3,1)",550,0,"exact",0,0],[4,11,"f","(7,4)",165,0,"exact",0,0],[4,11,"f","(8,1,1,1)",120,0,"exact",0,0],[4,11,"f","(8,2,1)",231,0,"exact",0,0],[4,11,"f","(8,3)",110,0,"exact",0,0],[4,11,"f","(9,1,1)",45,0,"exact",0,0],[4,11,"f","(9,2)",44,0,"exact",0,0],[4,11,"f","(10,1)",10,0,"exact",0,0],[4,11,"f","(11)",1,0,"exact",0,0],[4,11,"f","(5,2,2,1,1)",1540,3,"exact",3,3],[4,12,"f","(3,1,1,1,1,1,1,1,1,1)",55,32,"exact",32,32],[4,12,"f","(3,2,1,1,1,1,1,1,1)",320,118,"exact",118,118],[4,12,"f","(3,2,2,1,1,1,1,1)",891,178,"exact",178,178],[4,12,"f","(3,2,2,2,1,1,1)",1408,125,"exact",125,125],[4,12,"f","(3,2,2,2,2,1)",1155,36,"exact",36,36],[4,12,"f","(3,3,1,1,1,1,1,1)",616,122,"exact",122,122],[4,12,"f","(3,3,2,1,1,1,1)",1925,156,"exact",156,156],[4,12,"f","(3,3,2,2,1,1)",2673,73,"exact",73,73],[4,12,"f","(3,3,2,2,2)",1320,9,"exact",9,9],[4,12,"f","(3,3,3,1,1,1)",1650,36,"exact",36,36],[4,12,"f","(3,3,3,2,1)",2112,12,"exact",12,12],[4,12,"f","(3,3,3,3)",462,1,"exact",1,1],[4,12,"f","(4,1,1,1,1,1,1,1,1)",165,62,"exact",62,62],[4,12,"f","(4,2,1,1,1,1,1,1)",945,186,"exact",186,186],[4,12,"f","(4,2,2,1,1,1,1)",2376,198,"exact",198,198],[4,12,"f","(4,2,2,2,1,1)",3080,91,"exact",91,91],[4,12,"f","(4,2,2,2,2)",1485,17,"exact",17,17],[4,12,"f","(4,3,1,1,1,1,1)",2079,160,"exact",160,160],[4,12,"f","(4,3,2,1,1,1)",5632,134,"exact",134,134],[4,12,"f","(4,3,2,2,1)",5775,36,"exact",36,36],[4,12,"f","(4,3,3,1,1)",4158,19,"exact",19,19],[4,12,"f","(4,3,3,2)",2970,3,"exact",3,3],[4,12,"f","(4,4,1,1,1,1)",1925,41,"exact",41,41],[4,12,"f","(4,4,2,1,1)",4455,19,"exact",19,19],[4,12,"f","(4,4,2,2)",2640,3,"exact",3,3],[4,12,"f","(4,4,3,1)",2970,0,"exact",0,0],[4,12,"f","(4,4,4)",462,0,"exact",0,0],[4,12,"f","(5,1,1,1,1,1,1,1)",330,67,"exact",67,67],[4,12,"f","(5,2,1,1,1,1,1)",1728,133,"exact",133,133],[4,12,"f","(5,2,2,1,1,1)",3696,95,"exact",95,95],[4,12,"f","(5,2,2,2,1)",3520,30,"exact",30,30],[4,12,"f","(5,3,1,1,1,1)",3564,70,"exact",70,70],[4,12,"f","(5,3,2,1,1)",7700,36,"exact",36,36],[4,12,"f","(5,3,2,2)",4455,4,"exact",4,4],[4,12,"f","(5,3,3,1)",4158,3,"exact",3,3],[4,12,"f","(5,4,1,1,1)",3520,12,"exact",12,12],[4,12,"f","(5,4,2,1)",5775,3,"exact",3,3],[4,12,"f","(5,4,3)",2112,0,"exact",0,0],[4,12,"f","(5,5,1,1)",1485,1,"exact",1,1],[4,12,"f","(5,5,2)",1320,0,"exact",0,0],[4,12,"f","(6,1,1,1,1,1,1)",462,32,"exact",32,32],[4,12,"f","(6,2,1,1,1,1)",2100,39,"exact",39,39],[4,12,"f","(6,2,2,1,1)",3564,17,"exact",17,17],[4,12,"f","(6,2,2,2)",1925,4,"exact",4,4],[4,12,"f","(6,3,1,1,1)",3696,9,"exact",9,9],[4,12,"f","(6,3,2,1)",5632,2,"exact",2,2],[4,12,"f","(6,3,3)",1650,0,"exact",0,0],[4,12,"f","(6,4,1,1)",3080,0,"exact",0,0],[4,12,"f","(6,4,2)",2673,0,"exact",0,0],[4,12,"f","(6,5,1)",1155,0,"exact",0,0],[4,12,"f","(6,6)",132,0,"exact",0,0],[4,12,"f","(7,1,1,1,1,1)",462,4,"exact",4,4],[4,12,"f","(7,2,1,1,1)",1728,2,"exact",2,2],[4,12,"f","(7,2,2,1)",2079,0,"exact",0,0],[4,12,"f","(7,3,1,1)",2376,0,"exact",0,0],[4,12,"f","(7,3,2)",1925,0,"exact",0,0],[4,12,"f","(7,4,1)",1408,0,"exact",0,0],[4,12,"f","(7,5)",297,0,"exact",0,0],[4,12,"f","(8,1,1,1,1)",330,0,"exact",0,0],[4,12,"f","(8,2,1,1)",945,0,"exact",0,0],[4,12,"f","(8,2,2)",616,0,"exact",0,0],[4,12,"f","(8,3,1)",891,0,"exact",0,0],[4,12,"f","(8,4)",275,0,"exact",0,0],[4,12,"f","(9,1,1,1)",165,0,"exact",0,0],[4,12,"f","(9,2,1)",320,0,"exact",0,0],[4,12,"f","(9,3)",154,0,"exact",0,0],[4,12,"f","(10,1,1)",55,0,"exact",0,0],[4,12,"f","(10,2)",54,0,"exact",0,0],[4,12,"f","(11,1)",11,0,"exact",0,0],[4,12,"f","(12)",1,0,"exact",0,0],[4,12,"f","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"f","(2,1,1,1,1,1,1,1,1,1,1)",11,9,"exact",9,9],[4,12,"f","(2,2,1,1,1,1,1,1,1,1)",54,31,"exact",31,31],[4,12,"f","(2,2,2,2,2,2)",132,5,"exact",5,5],[4,12,"f","(2,2,2,1,1,1,1,1,1)",154,57,"exact",57,57],[4,12,"f","(2,2,2,2,1,1,1,1)",275,58,"exact",58,58],[4,12,"f","(2,2,2,2,2,1,1)",297,28,"exact",28,28],[4,13,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"f","(13)",1,0,"exact",0,0],[4,13,"f","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"exact",11,11],[4,13,"f","(12,1)",12,0,"exact",0,0],[4,13,"f","(11,2)",65,0,"exact",0,0],[4,13,"f","(11,1,1)",66,0,"exact",0,0],[4,13,"f","(10,3)",208,0,"exact",0,0],[4,13,"f","(10,1,1,1)",220,0,"exact",0,0],[4,13,"f","(2,2,2,2,2,2,1)",429,66,"exact",66,66],[4,13,"f","(7,6)",429,0,"exact",0,0],[4,13,"f","(9,4)",429,0,"exact",0,0],[4,13,"f","(10,2,1)",429,0,"exact",0,0],[4,13,"f","(9,1,1,1,1)",495,0,"exact",0,0],[4,13,"f","(2,2,2,2,2,1,1,1)",572,144,"exact",144,144],[4,13,"f","(8,5)",572,0,"exact",0,0],[4,13,"f","(9,2,2)",936,0,"exact",0,0],[4,13,"f","(6,6,1)",1287,0,"exact",0,0],[4,13,"f","(9,3,1)",1365,0,"exact",0,0],[4,13,"f","(9,2,1,1)",1430,0,"exact",0,0],[4,13,"f","(5,4,4)",2574,0,"exact",0,0],[4,13,"f","(8,4,1)",2574,0,"exact",0,0],[4,13,"f","(7,5,1)",2860,0,"exact",0,0],[4,13,"f","(5,5,3)",3432,3,"exact",3,3],[4,13,"f","(8,3,2)",3432,0,"exact",0,0],[4,13,"f","(7,3,3)",3575,1,"exact",1,1],[4,13,"f","(5,2,2,2,2)",5005,142,"exact",142,142],[4,13,"f","(6,5,2)",5148,2,"exact",2,2],[4,13,"f","(6,5,1,1)",5720,8,"exact",8,8],[4,13,"f","(7,4,2)",6006,0,"exact",0,0],[4,13,"f","(6,4,3)",6435,3,"exact",3,3],[4,13,"f","(7,4,1,1)",6864,4,"exact",4,4],[4,13,"f","(5,5,2,1)",8580,25,"exact",25,25],[4,13,"f","(6,2,2,2,1)",9009,167,"exact",167,167],[4,13,"f","(5,2,2,2,1,1)",10296,528,"exact",528,528],[4,13,"f","(6,3,3,1)",11440,34,"exact",34,34],[4,13,"f","(5,3,3,2)",11583,63,"exact",63,63],[4,13,"f","(6,3,2,2)",12012,61,"exact",61,61],[4,13,"f","(7,3,2,1)",12012,20,"exact",20,20],[4,13,"f","(5,4,2,2)",12870,62,"exact",62,62],[4,13,"f","(5,4,3,1)",15015,44,"exact",44,44],[4,13,"f","(5,3,3,1,1)",16016,208,"exact",208,208],[4,13,"f","(6,4,2,1)",17160,39,"exact",39,39],[4,13,"f","(5,3,2,1,1,1)",20592,851,"exact",851,851],[4,13,"f","(6,3,2,1,1)",20592,238,"exact",238,238],[4,13,"f","(5,3,2,2,1)",21450,373,"exact",373,373],[4,13,"f","(5,4,2,1,1)",21450,259,"exact",259,259],[4,13,"f","(2,2,1,1,1,1,1,1,1,1,1)",65,47,"exact",47,47],[4,13,"f","(3,1,1,1,1,1,1,1,1,1,1)",66,48,"exact",48,48],[4,13,"f","(2,2,2,1,1,1,1,1,1,1)",208,113,"exact",113,113],[4,13,"f","(4,1,1,1,1,1,1,1,1,1)",220,120,"exact",120,120],[4,13,"f","(2,2,2,2,1,1,1,1,1)",429,164,"exact",164,164],[4,13,"f","(3,2,1,1,1,1,1,1,1,1)",429,233,"upper bound",232,233],[4,13,"f","(5,1,1,1,1,1,1,1,1)",495,184,"exact",184,184],[4,13,"f","(6,1,1,1,1,1,1,1)",792,170,"exact",170,170],[4,13,"f","(8,1,1,1,1,1)",792,13,"exact",13,13],[4,13,"f","(7,1,1,1,1,1,1)",924,80,"exact",80,80],[4,13,"f","(3,3,1,1,1,1,1,1,1)",936,347,"upper bound",344,347],[4,13,"f","(3,2,2,2,2,2)",1287,110,"exact",110,110],[4,13,"f","(3,2,2,1,1,1,1,1,1)",1365,509,"upper bound",507,509],[4,13,"f","(4,2,1,1,1,1,1,1,1)",1430,527,"upper bound",525,527],[4,13,"f","(3,2,2,2,1,1,1,1)",2574,602,"upper bound",598,602],[4,13,"f","(3,3,3,3,1)",2574,60,"exact",60,60],[4,13,"f","(3,2,2,2,2,1,1)",2860,385,"upper bound",380,385],[4,13,"f","(5,2,1,1,1,1,1,1)",3003,646,"exact",646,646],[4,13,"f","(8,2,1,1,1)",3003,13,"exact",13,13],[4,13,"f","(3,3,2,1,1,1,1,1)",3432,769,"upper bound",759,769],[4,13,"f","(3,3,3,2,2)",3432,93,"exact",93,93],[4,13,"f","(4,3,3,3)",3432,27,"exact",27,27],[4,13,"f","(4,4,4,1)",3432,8,"exact",8,8],[4,13,"f","(3,3,3,1,1,1,1)",3575,399,"exact",399,399],[4,13,"f","(4,3,1,1,1,1,1,1)",3640,788,"upper bound",781,788],[4,13,"f","(8,2,2,1)",3640,4,"exact",4,4],[4,13,"f","(4,4,1,1,1,1,1)",4004,408,"exact",408,408],[4,13,"f","(7,2,2,2)",4004,19,"exact",19,19],[4,13,"f","(4,2,2,1,1,1,1,1)",4212,932,"upper bound",928,932],[4,13,"f","(8,3,1,1)",4212,2,"exact",2,2],[4,13,"f","(6,2,1,1,1,1,1)",4290,419,"exact",419,419],[4,13,"f","(7,2,1,1,1,1)",4290,128,"exact",128,128],[4,13,"f","(5,5,1,1,1)",5005,48,"exact",48,48],[4,13,"f","(3,3,2,2,2,1)",5148,324,"exact",324,324],[4,13,"f","(4,2,2,2,2,1)",5720,362,"exact",362,362],[4,13,"f","(3,3,2,2,1,1,1)",6006,718,"upper bound",705,718],[4,13,"f","(3,3,3,2,1,1)",6435,333,"exact",333,333],[4,13,"f","(4,2,2,2,1,1,1)",6864,820,"upper bound",814,820],[4,13,"f","(5,3,1,1,1,1,1)",7371,738,"exact",738,738],[4,13,"f","(7,2,2,1,1)",7371,78,"exact",78,78],[4,13,"f","(5,2,2,1,1,1,1)",7800,842,"exact",842,842],[4,13,"f","(7,3,1,1,1)",7800,51,"exact",51,51],[4,13,"f","(4,3,2,2,2)",8580,224,"exact",224,224],[4,13,"f","(4,4,3,2)",8580,45,"exact",45,45],[4,13,"f","(5,4,1,1,1,1)",9009,321,"exact",321,321],[4,13,"f","(6,2,2,1,1,1)",9360,385,"exact",385,385],[4,13,"f","(6,3,1,1,1,1)",9360,315,"exact",315,315],[4,13,"f","(6,4,1,1,1)",10296,84,"exact",84,84],[4,13,"f","(4,3,3,1,1,1)",11440,492,"exact",492,492],[4,13,"f","(4,4,3,1,1)",11583,152,"exact",152,152],[4,13,"f","(4,3,2,1,1,1,1)",12012,1302,"exact",1302,1302],[4,13,"f","(4,4,2,1,1,1)",12012,505,"exact",505,505],[4,13,"f","(4,4,2,2,1)",12870,218,"exact",218,218],[4,13,"f","(4,3,3,2,1)",15015,266,"exact",266,266],[4,13,"f","(4,3,2,2,1,1)",17160,858,"exact",858,858],[4,14,"f","(14)",1,0,"exact",0,0],[4,14,"f","(13,1)",13,0,"exact",0,0],[4,14,"f","(12,2)",77,0,"exact",0,0],[4,14,"f","(12,1,1)",78,0,"exact",0,0],[4,14,"f","(11,3)",273,0,"exact",0,0],[4,14,"f","(11,1,1,1)",286,0,"exact",0,0],[4,14,"f","(11,2,1)",560,0,"exact",0,0],[4,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[4,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,65,"exact",65,65],[4,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,66,"exact",66,66],[4,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,191,"exact",191,191],[4,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,201,"exact",201,201],[4,14,"f","(2,2,2,2,2,2,2)",429,120,"upper bound",114,120],[4,14,"f","(7,7)",429,1,"exact",1,1],[4,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,395,"upper bound",394,395],[4,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,358,"upper bound",357,358],[4,14,"f","(10,4)",637,1,"exact",1,1],[4,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,394,"upper bound",393,394],[4,14,"f","(10,1,1,1,1)",715,1,"exact",1,1],[4,14,"f","(2,2,2,2,2,1,1,1,1)",1001,436,"upper bound",434,436],[4,14,"f","(2,2,2,2,2,2,1,1)",1001,333,"upper bound",329,333],[4,14,"f","(8,6)",1001,1,"exact",1,1],[4,14,"f","(9,5)",1001,2,"exact",2,2],[4,14,"f","(6,1,1,1,1,1,1,1,1)",1287,507,"upper bound",505,507],[4,14,"f","(9,1,1,1,1,1)",1287,36,"exact",36,36],[4,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,751,"lower bound",751,761],[4,14,"f","(10,2,2)",1365,2,"exact",2,2],[4,14,"f","(7,1,1,1,1,1,1,1)",1716,415,"lower bound",415,417],[4,14,"f","(8,1,1,1,1,1,1)",1716,190,"lower bound",190,191],[4,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,1112,"lower bound",1112,1120],[4,14,"f","(10,3,1)",2002,3,"exact",3,3],[4,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,1144,"lower bound",1144,1153],[4,14,"f","(10,2,1,1)",2079,3,"exact",3,3],[4,14,"f","(3,2,2,2,1,1,1,1,1)",4368,1815,"lower bound",1815,2744],[4,14,"f","(9,4,1)",4368,8,"exact",8,8],[4,14,"f","(3,2,2,2,2,2,1)",4576,1005,"lower bound",1005,1067],[4,14,"f","(7,6,1)",4576,5,"upper bound",2,5],[4,14,"f","(5,2,1,1,1,1,1,1,1)",4928,1940,"lower bound",1940,2971],[4,14,"f","(9,2,1,1,1)",4928,56,"exact",56,56],[4,14,"f","(3,3,2,1,1,1,1,1,1)",5733,2313,"lower bound",2313,3555],[4,14,"f","(9,3,2)",5733,4,"lower bound",4,21],[4,14,"f","(3,2,2,2,2,1,1,1)",6006,1801,"lower bound",1801,3352],[4,14,"f","(3,3,3,3,2)",6006,352,"lower bound",352,571],[4,14,"f","(4,3,1,1,1,1,1,1,1)",6006,2371,"lower bound",2371,3663],[4,14,"f","(5,5,4)",6006,22,"lower bound",22,32],[4,14,"f","(8,5,1)",6006,1,"lower bound",1,8],[4,14,"f","(9,2,2,1)",6006,28,"lower bound",28,45],[4,14,"f","(3,3,2,2,2,2)",6435,871,"lower bound",871,1030],[4,14,"f","(6,6,2)",6435,16,"lower bound",16,19],[4,14,"f","(3,3,3,1,1,1,1,1)",7007,1864,"lower bound",1864,3758],[4,14,"f","(4,2,2,1,1,1,1,1,1)",7007,2811,"lower bound",2811,4304],[4,14,"f","(4,2,2,2,2,2)",7007,962,"lower bound",962,1081],[4,14,"f","(6,6,1,1)",7007,33,"lower bound",33,41],[4,14,"f","(8,3,3)",7007,11,"lower bound",11,22],[4,14,"f","(9,3,1,1)",7007,16,"lower bound",16,34],[4,14,"f","(4,4,1,1,1,1,1,1)",7644,1914,"lower bound",1914,3958],[4,14,"f","(8,2,2,2)",7644,92,"lower bound",92,111],[4,14,"f","(6,2,1,1,1,1,1,1)",8085,1998,"lower bound",1998,4037],[4,14,"f","(8,2,1,1,1,1)",8085,380,"lower bound",380,397],[4,14,"f","(3,3,3,3,1,1)",9009,793,"lower bound",793,1078],[4,14,"f","(6,4,4)",9009,28,"lower bound",28,34],[4,14,"f","(7,2,1,1,1,1,1)",9504,1200,"lower bound",1200,1226],[4,14,"f","(3,3,2,2,1,1,1,1)",12012,3314,"lower bound",3314,6522],[4,14,"f","(4,4,3,3)",12012,231,"lower bound",231,380],[4,14,"f","(4,4,4,2)",12012,196,"lower bound",196,317],[4,14,"f","(8,4,2)",12012,10,"lower bound",10,520],[4,14,"f","(4,2,2,2,1,1,1,1)",13650,3760,"lower bound",3760,7332],[4,14,"f","(8,4,1,1)",13650,35,"lower bound",35,60],[4,14,"f","(3,3,2,2,2,1,1)",14014,2584,"lower bound",2584,2834],[4,14,"f","(5,3,1,1,1,1,1,1)",14014,2917,"lower bound",2917,7170],[4,14,"f","(5,5,1,1,1,1)",14014,826,"lower bound",826,873],[4,14,"f","(6,2,2,2,2)",14014,768,"lower bound",768,823],[4,14,"f","(7,5,2)",14014,21,"lower bound",21,27],[4,14,"f","(8,2,2,1,1)",14014,293,"lower bound",293,331],[4,14,"f","(3,3,3,2,2,1)",15015,1555,"lower bound",1555,1990],[4,14,"f","(4,4,4,1,1)",15015,452,"lower bound",452,612],[4,14,"f","(5,2,2,1,1,1,1,1)",15015,2998,"lower bound",2998,7775],[4,14,"f","(5,3,3,3)",15015,312,"lower bound",312,422],[4,14,"f","(6,5,3)",15015,50,"lower bound",50,58],[4,14,"f","(8,3,1,1,1)",15015,218,"lower bound",218,257],[4,14,"f","(4,2,2,2,2,1,1)",15444,2848,"lower bound",2848,3030],[4,14,"f","(7,5,1,1)",15444,64,"lower bound",64,77],[4,14,"f","(3,3,3,2,1,1,1)",16016,2582,"lower bound",2582,2956],[4,14,"f","(7,4,3)",16016,36,"lower bound",36,49],[4,14,"f","(5,4,1,1,1,1,1)",20384,2581,"lower bound",2581,8939],[4,14,"f","(7,2,2,2,1)",20384,710,"lower bound",710,7171],[4,14,"f","(4,3,3,3,1)",21021,905,"lower bound",905,8453],[4,14,"f","(5,2,2,2,2,1)",21021,2178,"lower bound",2178,8972],[4,14,"f","(5,4,4,1)",21021,218,"lower bound",218,7615],[4,14,"f","(6,3,1,1,1,1,1)",21021,2496,"lower bound",2496,8974],[4,14,"f","(6,5,1,1,1)",21021,414,"lower bound",414,7321],[4,14,"f","(7,2,2,1,1,1)",21021,1328,"lower bound",1328,7754],[4,14,"f","(4,4,2,2,2)",21450,1148,"lower bound",1148,8662],[4,14,"f","(5,5,2,2)",21450,318,"lower bound",318,7760],[4,14,"f","(6,2,2,1,1,1,1)",21450,2775,"lower bound",2775,9321],[4,14,"f","(7,3,1,1,1,1)",21450,1139,"lower bound",1139,7724],[4,14,"f","(4,3,2,1,1,1,1,1)",23296,12269,"upper bound",3760,12269],[4,14,"f","(8,3,2,1)",23296,131,"lower bound",131,6802],[4,14,"f","(5,2,2,2,1,1,1)",24960,3020,"lower bound",3020,11460],[4,14,"f","(7,4,1,1,1)",24960,433,"lower bound",433,8278],[4,14,"f","(4,3,3,1,1,1,1)",27027,2997,"lower bound",2997,12438],[4,14,"f","(4,3,3,2,2)",27027,1470,"lower bound",1470,11045],[4,14,"f","(5,5,3,1)",27027,293,"lower bound",293,9654],[4,14,"f","(7,3,3,1)",27027,237,"lower bound",237,8909],[4,14,"f","(4,4,2,1,1,1,1)",28028,2978,"lower bound",2978,12750],[4,14,"f","(7,3,2,2)",28028,371,"lower bound",371,9380],[4,14,"f","(6,2,2,2,1,1)",28665,2083,"lower bound",2083,11444],[4,14,"f","(6,4,1,1,1,1)",28665,1569,"lower bound",1569,10864],[4,14,"f","(4,4,3,1,1,1)",35035,2125,"lower bound",2125,14441],[4,14,"f","(5,3,2,2,2)",35035,1894,"lower bound",1894,13915],[4,14,"f","(5,5,2,1,1)",35035,951,"lower bound",951,12929],[4,14,"f","(6,3,3,2)",35035,572,"lower bound",572,12545],[4,14,"f","(4,3,2,2,2,1)",36608,2262,"lower bound",2262,15952],[4,14,"f","(6,5,2,1)",36608,308,"lower bound",308,12438],[4,14,"f","(4,3,2,2,1,1,1)",42042,19679,"upper bound",3654,19679],[4,14,"f","(4,4,2,2,1,1)",42042,2079,"lower bound",2079,17618],[4,14,"f","(6,4,2,2)",42042,613,"lower bound",613,14845],[4,14,"f","(7,4,2,1)",42042,288,"lower bound",288,13591],[4,14,"f","(5,3,2,1,1,1,1)",47775,21397,"upper bound",3720,21397],[4,14,"f","(7,3,2,1,1)",47775,1055,"lower bound",1055,16317],[4,14,"f","(4,4,3,2,1)",48048,1618,"lower bound",1618,18929],[4,14,"f","(5,3,3,1,1,1)",48048,1694,"lower bound",1694,19457],[4,14,"f","(5,4,3,2)",48048,792,"lower bound",792,17748],[4,14,"f","(6,3,3,1,1)",48048,1267,"lower bound",1267,17549],[4,14,"f","(4,3,3,2,1,1)",50050,1902,"lower bound",1902,21229],[4,14,"f","(6,4,3,1)",50050,493,"lower bound",493,17432],[4,14,"f","(6,3,2,1,1,1)",59904,23271,"upper bound",1786,23271],[4,14,"f","(5,4,2,1,1,1)",63063,25232,"upper bound",1928,25232],[4,14,"f","(6,3,2,2,1)",63063,1351,"lower bound",1351,23415],[4,14,"f","(5,3,3,2,1)",64064,1403,"lower bound",1403,24807],[4,14,"f","(5,4,3,1,1)",64064,1388,"lower bound",1388,24137],[4,14,"f","(5,4,2,2,1)",68640,1352,"lower bound",1352,26257],[4,14,"f","(5,3,2,2,1,1)",69498,28656,"upper bound",2595,28656],[4,14,"f","(6,4,2,1,1)",69498,1112,"lower bound",1112,25021],[4,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[4,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,84,"exact",84,84],[4,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,289,"exact",289,289],[4,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,658,"lower bound",658,660],[4,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,1012,"lower bound",1012,1021],[4,15,"f","(2,2,2,2,2,2,1,1,1)",2002,1049,"lower bound",1049,1079],[4,15,"f","(2,2,2,2,2,2,2,1)",1430,652,"lower bound",652,692],[4,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,85,"exact",85,85],[4,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,595,"exact",595,595],[4,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,2052,"lower bound",2052,2063],[4,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,4096,"lower bound",4096,6035],[4,15,"f","(3,2,2,2,2,1,1,1,1)",11375,4096,"lower bound",4096,10056],[4,15,"f","(3,2,2,2,2,2,1,1)",11583,3843,"lower bound",3843,8694],[4,15,"f","(3,2,2,2,2,2,2)",5005,1815,"lower bound",1815,2065],[4,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,1391,"lower bound",1391,1402],[4,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,4176,"lower bound",4176,7889],[4,15,"f","(3,3,2,2,1,1,1,1,1)",22113,7442,"lower bound",7442,19748],[4,15,"f","(3,3,2,2,2,1,1,1)",32032,7699,"lower bound",7699,23781],[4,15,"f","(3,3,2,2,2,2,1)",25025,4460,"lower bound",4460,14064],[4,15,"f","(3,3,3,1,1,1,1,1,1)",12740,4177,"lower bound",4177,11321],[4,15,"f","(3,3,3,2,1,1,1,1)",35035,7760,"lower bound",7760,25448],[4,15,"f","(3,3,3,2,2,1,1)",45045,6721,"lower bound",6721,24410],[4,15,"f","(3,3,3,2,2,2)",21450,3065,"lower bound",3065,6687],[4,15,"f","(3,3,3,3,1,1,1)",25025,3375,"lower bound",3375,13313],[4,15,"f","(3,3,3,3,2,1)",30030,2803,"lower bound",2803,15109],[4,15,"f","(3,3,3,3,3)",6006,786,"lower bound",786,1544],[4,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,302,"exact",302,302],[4,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,2108,"lower bound",2108,2121],[4,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,5067,"lower bound",5067,9559],[4,15,"f","(4,2,2,2,1,1,1,1,1)",25025,8386,"lower bound",8386,22178],[4,15,"f","(4,2,2,2,2,1,1,1)",35100,8409,"lower bound",8409,25741],[4,15,"f","(4,2,2,2,2,2,1)",27027,4815,"lower bound",4815,14929],[4,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,4266,"lower bound",4266,8123],[4,15,"f","(4,3,2,1,1,1,1,1,1)",42042,11255,"lower bound",11255,36964],[4,15,"f","(4,3,2,2,1,1,1,1)",91000,14488,"lower bound",14488,77151],[4,15,"f","(4,3,2,2,2,1,1)",108108,11348,"lower bound",11348,80854],[4,15,"f","(4,3,2,2,2,2)",50050,4095,"lower bound",4095,36739],[4,15,"f","(4,3,3,1,1,1,1,1)",57330,8621,"lower bound",8621,48284],[4,15,"f","(4,3,3,2,1,1,1)",135135,11135,"lower bound",11135,105672],[4,15,"f","(4,3,3,2,2,1)",128700,7189,"lower bound",7189,98528],[4,15,"f","(4,3,3,3,1,1)",80080,3600,"lower bound",3600,60862],[4,15,"f","(4,3,3,3,2)",54054,2727,"lower bound",2727,40617],[4,15,"f","(4,4,1,1,1,1,1,1,1)",13650,4285,"lower bound",4285,11896],[4,15,"f","(4,4,2,1,1,1,1,1)",58968,8652,"lower bound",8652,49276],[4,15,"f","(4,4,2,2,1,1,1)",112112,8711,"lower bound",8711,90739],[4,15,"f","(4,4,2,2,2,1)",100100,5489,"lower bound",5489,79514],[4,15,"f","(4,4,3,1,1,1,1)",90090,8100,"lower bound",8100,72337],[4,15,"f","(4,4,3,2,1,1)",175175,7724,"lower bound",7724,137456],[4,15,"f","(4,4,3,2,2)",96525,4236,"lower bound",4236,74944],[4,15,"f","(4,4,3,3,1)",81081,2754,"lower bound",2754,58240],[4,15,"f","(4,4,4,1,1,1)",50050,2577,"lower bound",2577,33610],[4,15,"f","(4,4,4,2,1)",75075,2266,"lower bound",2266,47934],[4,15,"f","(4,4,4,3)",24024,1205,"lower bound",1205,9679],[4,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,716,"lower bound",716,720],[4,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,4096,"lower bound",4096,6578],[4,15,"f","(5,2,2,1,1,1,1,1,1)",26950,7749,"lower bound",7749,23401],[4,15,"f","(5,2,2,2,1,1,1,1)",53625,9778,"lower bound",9778,44777],[4,15,"f","(5,2,2,2,2,1,1)",61425,8046,"lower bound",8046,45429],[4,15,"f","(5,2,2,2,2,2)",28028,3140,"lower bound",3140,20306],[4,15,"f","(5,3,1,1,1,1,1,1,1)",24948,7228,"lower bound",7228,21551],[4,15,"f","(5,3,2,1,1,1,1,1)",100100,13395,"lower bound",13395,82719],[4,15,"f","(5,3,2,2,1,1,1)",184275,12989,"lower bound",12989,147244],[4,15,"f","(5,3,2,2,2,1)",162162,8929,"lower bound",8929,127071],[4,15,"f","(5,3,3,1,1,1,1)",122850,8411,"lower bound",8411,97367],[4,15,"f","(5,3,3,2,1,1)",231660,7594,"lower bound",7594,179279],[4,15,"f","(5,3,3,2,2)",126126,4767,"lower bound",4767,96550],[4,15,"f","(5,3,3,3,1)",100100,2620,"lower bound",2620,70787],[4,15,"f","(5,4,1,1,1,1,1,1)",42042,7412,"lower bound",7412,34364],[4,15,"f","(5,4,2,1,1,1,1)",159250,11207,"lower bound",11207,125154],[4,15,"f","(5,4,2,2,1,1)",243243,7954,"lower bound",7954,186567],[4,15,"f","(5,4,2,2,2)",125125,4394,"lower bound",4394,94909],[4,15,"f","(5,4,3,1,1,1)",210210,7135,"lower bound",7135,159844],[4,15,"f","(5,4,3,2,1)",292864,6553,"lower bound",6553,219368],[4,15,"f","(5,4,3,3)",75075,1335,"lower bound",1335,46091],[4,15,"f","(5,4,4,1,1)",100100,2058,"lower bound",2058,68842],[4,15,"f","(5,4,4,2)",81081,1206,"lower bound",1206,55232],[4,15,"f","(5,5,1,1,1,1,1)",34398,3407,"lower bound",3407,21970],[4,15,"f","(5,5,2,1,1,1)",112112,3705,"lower bound",3705,79393],[4,15,"f","(5,5,2,2,1)",125125,2621,"lower bound",2621,92271],[4,15,"f","(5,5,3,1,1)",126126,2632,"lower bound",2632,92207],[4,15,"f","(5,5,3,2)",96525,1403,"lower bound",1403,69972],[4,15,"f","(5,5,4,1)",54054,819,"lower bound",819,36617],[4,15,"f","(5,5,5)",6006,91,"lower bound",91,384],[4,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,1164,"lower bound",1164,1177],[4,15,"f","(6,2,1,1,1,1,1,1,1)",14300,4443,"lower bound",4443,11874],[4,15,"f","(6,2,2,1,1,1,1,1)",44550,7771,"lower bound",7771,35978],[4,15,"f","(6,2,2,2,1,1,1)",75075,7878,"lower bound",7878,58448],[4,15,"f","(6,2,2,2,2,1)",63700,5029,"lower bound",5029,43984],[4,15,"f","(6,3,1,1,1,1,1,1)",43120,7411,"lower bound",7411,34585],[4,15,"f","(6,3,2,1,1,1,1)",150150,10777,"lower bound",10777,115439],[4,15,"f","(6,3,2,2,1,1)",221130,7815,"lower bound",7815,165673],[4,15,"f","(6,3,2,2,2)",112112,4013,"lower bound",4013,78453],[4,15,"f","(6,3,3,1,1,1)",156000,4747,"lower bound",4747,115831],[4,15,"f","(6,3,3,2,1)",210210,4593,"lower bound",4593,153663],[4,15,"f","(6,3,3,3)",50050,1066,"lower bound",1066,30891],[4,15,"f","(6,4,1,1,1,1,1)",70070,6646,"lower bound",6646,53169],[4,15,"f","(6,4,2,1,1,1)",221130,6395,"lower bound",6395,162683],[4,15,"f","(6,4,2,2,1)",243243,4428,"lower bound",4428,176129],[4,15,"f","(6,4,3,1,1)",231660,4260,"lower bound",4260,166266],[4,15,"f","(6,4,3,2)",175175,2470,"lower bound",2470,124649],[4,15,"f","(6,4,4,1)",80080,835,"lower bound",835,53207],[4,15,"f","(6,5,1,1,1,1)",63700,2809,"lower bound",2809,41334],[4,15,"f","(6,5,2,1,1)",162162,2785,"lower bound",2785,114491],[4,15,"f","(6,5,2,2)",100100,1239,"lower bound",1239,70058],[4,15,"f","(6,5,3,1)",128700,1144,"lower bound",1144,84349],[4,15,"f","(6,5,4)",30030,404,"lower bound",404,10447],[4,15,"f","(6,6,1,1,1)",28028,1137,"lower bound",1137,16967],[4,15,"f","(6,6,2,1)",50050,908,"lower bound",908,29569],[4,15,"f","(6,6,3)",21450,256,"lower bound",256,7332],[4,15,"f","(7,1,1,1,1,1,1,1,1)",3003,1303,"lower bound",1303,1327],[4,15,"f","(7,2,1,1,1,1,1,1)",19305,3613,"lower bound",3613,11940],[4,15,"f","(7,2,2,1,1,1,1)",51975,5303,"lower bound",5303,35835],[4,15,"f","(7,2,2,2,1,1)",70070,4121,"lower bound",4121,50409],[4,15,"f","(7,2,2,2,2)",34398,1896,"lower bound",1896,19864],[4,15,"f","(7,3,1,1,1,1,1)",51975,4835,"lower bound",4835,35464],[4,15,"f","(7,3,2,1,1,1)",150150,5308,"lower bound",5308,106435],[4,15,"f","(7,3,2,2,1)",159250,3487,"lower bound",3487,110983],[4,15,"f","(7,3,3,1,1)",122850,2559,"lower bound",2559,84813],[4,15,"f","(7,3,3,2)",90090,1180,"lower bound",1180,61638],[4,15,"f","(7,4,1,1,1,1)",75075,3141,"lower bound",3141,52389],[4,15,"f","(7,4,2,1,1)",184275,2888,"lower bound",2888,125872],[4,15,"f","(7,4,2,2)",112112,1272,"lower bound",1272,75886],[4,15,"f","(7,4,3,1)",135135,1054,"lower bound",1054,85624],[4,15,"f","(7,4,4)",25025,277,"lower bound",277,8439],[4,15,"f","(7,5,1,1,1)",61425,1418,"lower bound",1418,36280],[4,15,"f","(7,5,2,1)",108108,681,"lower bound",681,62215],[4,15,"f","(7,5,3)",45045,463,"lower bound",463,15045],[4,15,"f","(7,6,1,1)",27027,353,"lower bound",353,8959],[4,15,"f","(7,6,2)",25025,183,"lower bound",183,8189],[4,15,"f","(7,7,1)",5005,20,"lower bound",20,104],[4,15,"f","(8,1,1,1,1,1,1,1)",3432,975,"lower bound",975,1000],[4,15,"f","(8,2,1,1,1,1,1)",19305,2553,"lower bound",2553,3499],[4,15,"f","(8,2,2,1,1,1)",43120,2001,"lower bound",2001,22480],[4,15,"f","(8,2,2,2,1)",42042,1705,"lower bound",1705,21279],[4,15,"f","(8,3,1,1,1,1)",44550,1737,"lower bound",1737,22797],[4,15,"f","(8,3,2,1,1)",100100,1697,"lower bound",1697,56055],[4,15,"f","(8,3,2,2)",58968,926,"lower bound",926,35310],[4,15,"f","(8,3,3,1)",57330,1027,"lower bound",1027,34132],[4,15,"f","(8,4,1,1,1)",53625,1062,"lower bound",1062,25790],[4,15,"f","(8,4,2,1)",91000,464,"lower bound",464,49997],[4,15,"f","(8,4,3)",35035,288,"lower bound",288,11678],[4,15,"f","(8,5,1,1)",35100,397,"lower bound",397,11196],[4,15,"f","(8,5,2)",32032,187,"lower bound",187,10587],[4,15,"f","(8,6,1)",11583,37,"lower bound",37,193],[4,15,"f","(8,7)",1430,9,"lower bound",9,16],[4,15,"f","(9,1,1,1,1,1,1)",3003,437,"lower bound",437,447],[4,15,"f","(9,2,1,1,1,1)",14300,1071,"lower bound",1071,1168],[4,15,"f","(9,2,2,1,1)",24948,904,"lower bound",904,7903],[4,15,"f","(9,2,2,2)",13650,389,"lower bound",389,544],[4,15,"f","(9,3,1,1,1)",26950,832,"lower bound",832,8382],[4,15,"f","(9,3,2,1)",42042,617,"lower bound",617,19370],[4,15,"f","(9,3,3)",12740,100,"lower bound",100,274],[4,15,"f","(9,4,1,1)",25025,255,"lower bound",255,7470],[4,15,"f","(9,4,2)",22113,118,"lower bound",118,7029],[4,15,"f","(9,5,1)",11375,38,"lower bound",38,161],[4,15,"f","(9,6)",2002,14,"lower bound",14,22],[4,15,"f","(10,1,1,1,1,1)",2002,91,"lower bound",91,92],[4,15,"f","(10,2,1,1,1)",7722,188,"lower bound",188,203],[4,15,"f","(10,2,2,1)",9450,148,"lower bound",148,180],[4,15,"f","(10,3,1,1)",11088,121,"lower bound",121,178],[4,15,"f","(10,3,2)",9100,70,"lower bound",70,126],[4,15,"f","(10,4,1)",7007,37,"lower bound",37,80],[4,15,"f","(10,5)",1638,13,"lower bound",13,17],[4,15,"f","(11,1,1,1,1)",1001,5,"exact",5,5],[4,15,"f","(11,2,1,1)",2925,15,"exact",15,15],[4,15,"f","(11,2,2)",1925,10,"exact",10,10],[4,15,"f","(11,3,1)",2835,15,"exact",15,15],[4,15,"f","(11,4)",910,5,"exact",5,5],[4,15,"f","(12,1,1,1)",364,0,"exact",0,0],[4,15,"f","(12,2,1)",715,0,"exact",0,0],[4,15,"f","(12,3)",350,0,"exact",0,0],[4,15,"f","(13,1,1)",91,0,"exact",0,0],[4,15,"f","(13,2)",90,0,"exact",0,0],[4,15,"f","(14,1)",14,0,"exact",0,0],[4,15,"f","(15)",1,0,"exact",0,0],[4,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,16,"f","(10,1,1,1,1,1,1)",5005,528,"lower bound",528,1015],[4,16,"f","(10,2,1,1,1,1)",24024,1350,"lower bound",1350,22110],[4,16,"f","(10,2,2,1,1)",42120,1240,"lower bound",1240,37890],[4,16,"f","(10,2,2,2)",23100,537,"lower bound",537,20565],[4,16,"f","(10,3,1,1,1)",45760,1141,"lower bound",1141,40380],[4,16,"f","(10,3,2,1)",71680,956,"lower bound",956,62160],[4,16,"f","(10,3,3)",21840,170,"lower bound",170,18540],[4,16,"f","(10,4,1,1)",43120,413,"lower bound",413,36330],[4,16,"f","(10,4,2)",38220,225,"lower bound",225,31815],[4,16,"f","(10,5,1)",20020,88,"lower bound",88,16035],[4,16,"f","(10,6)",3640,93,"lower bound",93,151],[4,16,"f","(11,1,1,1,1,1)",3003,211,"lower bound",211,241],[4,16,"f","(11,2,1,1,1)",11648,208,"lower bound",208,637],[4,16,"f","(11,2,2,1)",14300,173,"lower bound",173,659],[4,16,"f","(11,3,1,1)",16848,151,"lower bound",151,701],[4,16,"f","(11,3,2)",13860,95,"lower bound",95,525],[4,16,"f","(11,4,1)",10752,57,"lower bound",57,365],[4,16,"f","(11,5)",2548,56,"lower bound",56,75],[4,16,"f","(12,1,1,1,1)",1365,15,"exact",15,15],[4,16,"f","(12,2,1,1)",4004,45,"lower bound",45,150],[4,16,"f","(12,2,2)",2640,30,"lower bound",30,58],[4,16,"f","(12,3,1)",3900,45,"lower bound",45,165],[4,16,"f","(12,4)",1260,15,"exact",15,15],[4,16,"f","(13,1,1,1)",455,0,"exact",0,0],[4,16,"f","(13,2,1)",896,0,"exact",0,0],[4,16,"f","(13,3)",440,0,"exact",0,0],[4,16,"f","(14,1,1)",105,0,"exact",0,0],[4,16,"f","(14,2)",104,0,"exact",0,0],[4,16,"f","(15,1)",15,0,"exact",0,0],[4,16,"f","(16)",1,0,"exact",0,0],[4,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[4,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,101,"exact",101,101],[4,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,403,"exact",403,403],[4,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1070,"lower bound",1070,1072],[4,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,1985,"lower bound",1985,2548],[4,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,2589,"lower bound",2589,3640],[4,16,"f","(2,2,2,2,2,2,2,1,1)",3432,2245,"lower bound",2245,3432],[4,16,"f","(2,2,2,2,2,2,2,2)",1430,889,"lower bound",889,953],[4,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,102,"exact",102,102],[4,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,824,"exact",824,824],[4,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3323,"lower bound",3323,3900],[4,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,6806,"lower bound",6806,10752],[4,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,9204,"lower bound",9204,20020],[4,16,"f","(3,2,2,2,2,2,1,1,1)",24960,8988,"lower bound",8988,24960],[4,16,"f","(3,2,2,2,2,2,2,1)",18018,6310,"lower bound",6310,18018],[4,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2255,"lower bound",2255,2262],[4,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,7619,"lower bound",7619,13860],[4,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,15714,"lower bound",15714,38220],[4,16,"f","(3,3,2,2,2,1,1,1,1)",65520,19237,"lower bound",19237,65520],[4,16,"f","(3,3,2,2,2,2,1,1)",68640,16002,"lower bound",16002,68640],[4,16,"f","(3,3,2,2,2,2,2)",30030,6275,"lower bound",6275,30030],[4,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,8353,"lower bound",8353,21840],[4,16,"f","(3,3,3,2,1,1,1,1,1)",69888,19379,"lower bound",19379,69888],[4,16,"f","(3,3,3,2,2,1,1,1)",112112,22180,"lower bound",22180,112112],[4,16,"f","(3,3,3,2,2,2,1)",91520,14246,"lower bound",14246,91520],[4,16,"f","(3,3,3,3,1,1,1,1)",60060,11135,"lower bound",11135,60060],[4,16,"f","(3,3,3,3,2,1,1)",100100,12899,"lower bound",12899,100100],[4,16,"f","(3,3,3,3,2,2)",51480,5868,"lower bound",5868,51480],[4,16,"f","(3,3,3,3,3,1)",36036,3589,"lower bound",3589,36036],[4,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,418,"lower bound",418,419],[4,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,3407,"lower bound",3407,3492],[4,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,9227,"lower bound",9227,16848],[4,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,17549,"lower bound",17549,43120],[4,16,"f","(4,2,2,2,2,1,1,1,1)",71500,20891,"lower bound",20891,71500],[4,16,"f","(4,2,2,2,2,2,1,1)",73710,17067,"lower bound",17067,73710],[4,16,"f","(4,2,2,2,2,2,2)",32032,6630,"lower bound",6630,32032],[4,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,7765,"lower bound",7765,14300],[4,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,24764,"lower bound",24764,71680],[4,16,"f","(4,3,2,2,1,1,1,1,1)",180180,41571,"lower bound",41571,180180],[4,16,"f","(4,3,2,2,2,1,1,1)",266240,41944,"lower bound",41944,266240],[4,16,"f","(4,3,2,2,2,2,1)",210210,24718,"lower bound",24718,210210],[4,16,"f","(4,3,3,1,1,1,1,1,1)",112112,24053,"lower bound",24053,112112],[4,16,"f","(4,3,3,2,1,1,1,1)",318500,42004,"lower bound",42004,318500],[4,16,"f","(4,3,3,2,2,1,1)",416988,36393,"lower bound",36393,416988],[4,16,"f","(4,3,3,2,2,2)",200200,14349,"lower bound",14349,200200],[4,16,"f","(4,3,3,3,1,1,1)",240240,18110,"lower bound",18110,240236],[4,16,"f","(4,3,3,3,2,1)",292864,16319,"lower bound",16319,292856],[4,16,"f","(4,3,3,3,3)",60060,3513,"lower bound",3513,60056],[4,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,8551,"lower bound",8551,23100],[4,16,"f","(4,4,2,1,1,1,1,1,1)",114660,24192,"lower bound",24192,114660],[4,16,"f","(4,4,2,2,1,1,1,1)",262080,31851,"lower bound",31851,262080],[4,16,"f","(4,4,2,2,2,1,1)",320320,25548,"lower bound",25548,320320],[4,16,"f","(4,4,2,2,2,2)",150150,9584,"lower bound",9584,150150],[4,16,"f","(4,4,3,1,1,1,1,1)",206388,25373,"lower bound",25373,206388],[4,16,"f","(4,4,3,2,1,1,1)",512512,35670,"lower bound",35670,512492],[4,16,"f","(4,4,3,2,2,1)",500500,24638,"lower bound",24638,500460],[4,16,"f","(4,4,3,3,1,1)",336336,14078,"lower bound",14078,336282],[4,16,"f","(4,4,3,3,2)",231660,9717,"lower bound",9717,231606],[4,16,"f","(4,4,4,1,1,1,1)",140140,10677,"lower bound",10677,140120],[4,16,"f","(4,4,4,2,1,1)",300300,12567,"lower bound",12567,300210],[4,16,"f","(4,4,4,2,2)",171600,6502,"lower bound",6502,171530],[4,16,"f","(4,4,4,3,1)",180180,6225,"lower bound",6225,180072],[4,16,"f","(4,4,4,4)",24024,1205,"lower bound",1205,23997],[4,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1154,"lower bound",1154,1162],[4,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,6920,"lower bound",6920,11648],[4,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,16912,"lower bound",16912,45760],[4,16,"f","(5,2,2,2,1,1,1,1,1)",105600,25913,"lower bound",25913,105600],[4,16,"f","(5,2,2,2,2,1,1,1)",150150,26233,"lower bound",26233,150150],[4,16,"f","(5,2,2,2,2,2,1)",116480,16001,"lower bound",16001,116480],[4,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,15590,"lower bound",15590,42120],[4,16,"f","(5,3,2,1,1,1,1,1,1)",194040,39627,"lower bound",39627,194040],[4,16,"f","(5,3,2,2,1,1,1,1)",429000,50650,"lower bound",50650,429000],[4,16,"f","(5,3,2,2,2,1,1)",515970,41312,"lower bound",41312,515970],[4,16,"f","(5,3,2,2,2,2)",240240,16164,"lower bound",16164,240240],[4,16,"f","(5,3,3,1,1,1,1,1)",280280,30427,"lower bound",30427,280280],[4,16,"f","(5,3,3,2,1,1,1)",673920,40129,"lower bound",40129,673884],[4,16,"f","(5,3,3,2,2,1)",648648,28479,"lower bound",28479,648576],[4,16,"f","(5,3,3,3,1,1)",411840,13814,"lower bound",13814,411750],[4,16,"f","(5,3,3,3,2)",280280,10114,"lower bound",10114,280190],[4,16,"f","(5,4,1,1,1,1,1,1,1)",80640,18925,"lower bound",18925,80640],[4,16,"f","(5,4,2,1,1,1,1,1)",360360,40666,"lower bound",40666,360360],[4,16,"f","(5,4,2,2,1,1,1)",698880,40861,"lower bound",40861,698820],[4,16,"f","(5,4,2,2,2,1)",630630,26766,"lower bound",26766,630510],[4,16,"f","(5,4,3,1,1,1,1)",582400,34853,"lower bound",34853,582260],[4,16,"f","(5,4,3,2,1,1)",1153152,36960,"lower bound",36960,1152576],[4,16,"f","(5,4,3,2,2)",640640,19950,"lower bound",19950,640204],[4,16,"f","(5,4,3,3,1)",549120,13262,"lower bound",13262,548580],[4,16,"f","(5,4,4,1,1,1)",360360,11770,"lower bound",11770,359970],[4,16,"f","(5,4,4,2,1)",549120,12083,"lower bound",12083,548268],[4,16,"f","(5,4,4,3)",180180,3746,"lower bound",3746,179775],[4,16,"f","(5,5,1,1,1,1,1,1)",76440,10819,"lower bound",10819,76440],[4,16,"f","(5,5,2,1,1,1,1)",305760,18319,"lower bound",18319,305620],[4,16,"f","(5,5,2,2,1,1)",480480,14280,"lower bound",14280,480030],[4,16,"f","(5,5,2,2,2)",250250,7015,"lower bound",7015,249940],[4,16,"f","(5,5,3,1,1,1)",448448,13472,"lower bound",13472,447762],[4,16,"f","(5,5,3,2,1)",640640,13209,"lower bound",13209,639244],[4,16,"f","(5,5,3,3)",171600,2738,"lower bound",2738,171060],[4,16,"f","(5,5,4,1,1)",280280,5509,"lower bound",5509,279260],[4,16,"f","(5,5,4,2)",231660,3428,"lower bound",3428,230649],[4,16,"f","(5,5,5,1)",60060,910,"lower bound",910,59615],[4,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,2260,"lower bound",2260,2491],[4,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,9703,"lower bound",9703,24024],[4,16,"f","(6,2,2,1,1,1,1,1,1)",85800,19963,"lower bound",19963,85800],[4,16,"f","(6,2,2,2,1,1,1,1)",173250,25427,"lower bound",25427,173250],[4,16,"f","(6,2,2,2,2,1,1)",200200,20953,"lower bound",20953,200200],[4,16,"f","(6,2,2,2,2,2)",91728,8169,"lower bound",8169,91728],[4,16,"f","(6,3,1,1,1,1,1,1,1)",82368,19082,"lower bound",19082,82368],[4,16,"f","(6,3,2,1,1,1,1,1)",337920,39354,"lower bound",39354,337920],[4,16,"f","(6,3,2,2,1,1,1)",630630,39459,"lower bound",39459,630546],[4,16,"f","(6,3,2,2,2,1)",559104,25786,"lower bound",25786,558936],[4,16,"f","(6,3,3,1,1,1,1)",429000,23935,"lower bound",23935,428840],[4,16,"f","(6,3,3,2,1,1)",819000,24749,"lower bound",24749,818370],[4,16,"f","(6,3,3,2,2)",448448,13373,"lower bound",13373,447978],[4,16,"f","(6,3,3,3,1)",360360,8279,"lower bound",8279,359820],[4,16,"f","(6,4,1,1,1,1,1,1)",155232,21469,"lower bound",21469,155232],[4,16,"f","(6,4,2,1,1,1,1)",600600,35025,"lower bound",35025,600240],[4,16,"f","(6,4,2,2,1,1)",928746,26592,"lower bound",26592,927612],[4,16,"f","(6,4,2,2,2)",480480,12835,"lower bound",12835,479706],[4,16,"f","(6,4,3,1,1,1)",819000,22537,"lower bound",22537,817380],[4,16,"f","(6,4,3,2,1)",1153152,22304,"lower bound",22304,1149912],[4,16,"f","(6,4,3,3)",300300,4871,"lower bound",4871,299085],[4,16,"f","(6,4,4,1,1)",411840,7153,"lower bound",7153,409926],[4,16,"f","(6,4,4,2)",336336,4511,"lower bound",4511,334464],[4,16,"f","(6,5,1,1,1,1,1)",168168,12862,"lower bound",12862,167888],[4,16,"f","(6,5,2,1,1,1)",559104,15694,"lower bound",15694,557160],[4,16,"f","(6,5,2,2,1)",630630,11073,"lower bound",11073,627606],[4,16,"f","(6,5,3,1,1)",648648,10821,"lower bound",10821,644538],[4,16,"f","(6,5,3,2)",500500,6256,"lower bound",6256,496715],[4,16,"f","(6,5,4,1)",292864,3202,"lower bound",3202,289736],[4,16,"f","(6,5,5)",36036,495,"lower bound",495,35421],[4,16,"f","(6,6,1,1,1,1)",91728,3946,"lower bound",3946,90972],[4,16,"f","(6,6,2,1,1)",240240,4830,"lower bound",4830,237480],[4,16,"f","(6,6,2,2)",150150,2147,"lower bound",2147,148155],[4,16,"f","(6,6,3,1)",200200,2308,"lower bound",2308,197030],[4,16,"f","(6,6,4)",51480,660,"lower bound",660,50370],[4,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,2467,"lower bound",2467,4531],[4,16,"f","(7,2,1,1,1,1,1,1,1)",36608,9359,"lower bound",9359,36608],[4,16,"f","(7,2,2,1,1,1,1,1)",115830,16687,"lower bound",16687,115830],[4,16,"f","(7,2,2,2,1,1,1)",197120,17302,"lower bound",17302,197064],[4,16,"f","(7,2,2,2,2,1)",168168,11046,"lower bound",11046,168056],[4,16,"f","(7,3,1,1,1,1,1,1)",114400,15859,"lower bound",15859,114400],[4,16,"f","(7,3,2,1,1,1,1)",404250,26223,"lower bound",26223,403830],[4,16,"f","(7,3,2,2,1,1)",600600,20731,"lower bound",20731,599340],[4,16,"f","(7,3,2,2,2)",305760,9396,"lower bound",9396,304920],[4,16,"f","(7,3,3,1,1,1)",429000,12614,"lower bound",12614,427570],[4,16,"f","(7,3,3,2,1)",582400,11819,"lower bound",11819,579660],[4,16,"f","(7,3,3,3)",140140,2246,"lower bound",2246,139195],[4,16,"f","(7,4,1,1,1,1,1)",197120,14622,"lower bound",14622,196640],[4,16,"f","(7,4,2,1,1,1)",630630,17732,"lower bound",17732,627480],[4,16,"f","(7,4,2,2,1)",698880,12075,"lower bound",12075,694092],[4,16,"f","(7,4,3,1,1)",673920,10761,"lower bound",10761,667884],[4,16,"f","(7,4,3,2)",512512,5976,"lower bound",5976,507044],[4,16,"f","(7,4,4,1)",240240,2166,"lower bound",2166,236670],[4,16,"f","(7,5,1,1,1,1)",200200,7368,"lower bound",7368,198140],[4,16,"f","(7,5,2,1,1)",515970,7772,"lower bound",7772,508620],[4,16,"f","(7,5,2,2)",320320,3192,"lower bound",3192,315056],[4,16,"f","(7,5,3,1)",416988,3342,"lower bound",3342,408861],[4,16,"f","(7,5,4)",100100,1144,"lower bound",1144,97465],[4,16,"f","(7,6,1,1,1)",116480,2908,"lower bound",2908,113360],[4,16,"f","(7,6,2,1)",210210,2125,"lower bound",2125,203595],[4,16,"f","(7,6,3)",91520,902,"lower bound",902,88120],[4,16,"f","(7,7,1,1)",32032,373,"lower bound",373,30268],[4,16,"f","(7,7,2)",30030,203,"lower bound",203,28245],[4,16,"f","(8,1,1,1,1,1,1,1,1)",6435,2278,"lower bound",2278,5561],[4,16,"f","(8,2,1,1,1,1,1,1)",42042,7141,"lower bound",7141,42042],[4,16,"f","(8,2,2,1,1,1,1)",114400,9857,"lower bound",9857,114120],[4,16,"f","(8,2,2,2,1,1)",155232,7827,"lower bound",7827,154476],[4,16,"f","(8,2,2,2,2)",76440,3601,"lower bound",3601,75964],[4,16,"f","(8,3,1,1,1,1,1)",115830,9125,"lower bound",9125,115290],[4,16,"f","(8,3,2,1,1,1)",337920,10743,"lower bound",10743,334800],[4,16,"f","(8,3,2,2,1)",360360,7815,"lower bound",7815,355848],[4,16,"f","(8,3,3,1,1)",280280,5283,"lower bound",5283,275786],[4,16,"f","(8,3,3,2)",206388,3133,"lower bound",3133,202461],[4,16,"f","(8,4,1,1,1,1)",173250,5940,"lower bound",5940,170460],[4,16,"f","(8,4,2,1,1)",429000,6111,"lower bound",6111,419580],[4,16,"f","(8,4,2,2)",262080,2662,"lower bound",2662,255480],[4,16,"f","(8,4,3,1)",318500,2833,"lower bound",2833,309085],[4,16,"f","(8,4,4)",60060,565,"lower bound",565,57705],[4,16,"f","(8,5,1,1,1)",150150,2877,"lower bound",2877,144740],[4,16,"f","(8,5,2,1)",266240,1729,"lower bound",1729,255040],[4,16,"f","(8,5,3)",112112,938,"lower bound",938,106582],[4,16,"f","(8,6,1,1)",73710,787,"lower bound",787,68865],[4,16,"f","(8,6,2)",68640,407,"lower bound",407,63780],[4,16,"f","(8,7,1)",18018,66,"lower bound",66,1372],[4,16,"f","(8,8)",1430,30,"lower bound",30,78],[4,16,"f","(9,1,1,1,1,1,1,1)",6435,1412,"lower bound",1412,4491],[4,16,"f","(9,2,1,1,1,1,1)",36608,4061,"lower bound",4061,36168],[4,16,"f","(9,2,2,1,1,1)",82368,3976,"lower bound",3976,80532],[4,16,"f","(9,2,2,2,1)",80640,2998,"lower bound",2998,78264],[4,16,"f","(9,3,1,1,1,1)",85800,3640,"lower bound",3640,83070],[4,16,"f","(9,3,2,1,1)",194040,4050,"lower bound",4050,185850],[4,16,"f","(9,3,2,2)",114660,1932,"lower bound",1932,109179],[4,16,"f","(9,3,3,1)",112112,1744,"lower bound",1744,105924],[4,16,"f","(9,4,1,1,1)",105600,2149,"lower bound",2149,99360],[4,16,"f","(9,4,2,1)",180180,1454,"lower bound",1454,167895],[4,16,"f","(9,4,3)",69888,506,"lower bound",506,64368],[4,16,"f","(9,5,1,1)",71500,690,"lower bound",690,64815],[4,16,"f","(9,5,2)",65520,343,"lower bound",343,58950],[4,16,"f","(9,6,1)",24960,89,"lower bound",89,21600],[4,16,"f","(9,7)",3432,78,"lower bound",78,167],[4,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,17,"f","(10,1,1,1,1,1,1,1)",11440,1940,"lower bound",1940,7442],[4,17,"f","(10,2,1,1,1,1,1)",65637,5939,"lower bound",5939,65043],[4,17,"f","(10,2,2,1,1,1)",148512,6566,"lower bound",6566,145992],[4,17,"f","(10,2,2,2,1)",145860,4775,"lower bound",4775,142575],[4,17,"f","(10,3,1,1,1,1)",155584,6131,"lower bound",6131,151800],[4,17,"f","(10,3,2,1,1)",353600,7387,"lower bound",7387,342120],[4,17,"f","(10,3,2,2)",209440,3425,"lower bound",3425,201720],[4,17,"f","(10,3,3,1)",205632,2870,"lower bound",2870,196848],[4,17,"f","(10,4,1,1,1)",194480,3703,"lower bound",3703,185590],[4,17,"f","(10,4,2,1)",333200,3048,"lower bound",3048,315560],[4,17,"f","(10,4,3)",129948,901,"lower bound",901,121947],[4,17,"f","(10,5,1,1)",134640,1191,"lower bound",1191,124800],[4,17,"f","(10,5,2)",123760,656,"lower bound",656,114040],[4,17,"f","(10,6,1)",48620,270,"lower bound",270,43455],[4,17,"f","(10,7)",7072,171,"lower bound",171,764],[4,17,"f","(11,1,1,1,1,1,1)",8008,739,"lower bound",739,2083],[4,17,"f","(11,2,1,1,1,1)",38675,1769,"lower bound",1769,36135],[4,17,"f","(11,2,2,1,1)",68068,1621,"lower bound",1621,62403],[4,17,"f","(11,2,2,2)",37400,710,"lower bound",710,33990],[4,17,"f","(11,3,1,1,1)",74256,1500,"lower bound",1500,66990],[4,17,"f","(11,3,2,1)",116688,1375,"lower bound",1375,103752],[4,17,"f","(11,3,3)",35700,265,"lower bound",265,31185],[4,17,"f","(11,4,1,1)",70720,621,"lower bound",621,61380],[4,17,"f","(11,4,2)",62832,377,"lower bound",377,53988],[4,17,"f","(11,5,1)",33320,201,"lower bound",201,27720],[4,17,"f","(11,6)",6188,149,"lower bound",149,515],[4,17,"f","(12,1,1,1,1,1)",4368,226,"lower bound",226,484],[4,17,"f","(12,2,1,1,1)",17017,268,"lower bound",268,1467],[4,17,"f","(12,2,2,1)",20944,248,"lower bound",248,15400],[4,17,"f","(12,3,1,1)",24752,241,"lower bound",241,17952],[4,17,"f","(12,3,2)",20400,170,"lower bound",170,14520],[4,17,"f","(12,4,1)",15912,117,"lower bound",117,991],[4,17,"f","(12,5)",3808,71,"lower bound",71,222],[4,17,"f","(13,1,1,1,1)",1820,15,"lower bound",15,35],[4,17,"f","(13,2,1,1)",5355,45,"lower bound",45,246],[4,17,"f","(13,2,2)",3536,30,"lower bound",30,158],[4,17,"f","(13,3,1)",5236,45,"lower bound",45,237],[4,17,"f","(13,4)",1700,15,"lower bound",15,35],[4,17,"f","(14,1,1,1)",560,0,"exact",0,0],[4,17,"f","(14,2,1)",1105,0,"exact",0,0],[4,17,"f","(14,3)",544,0,"exact",0,0],[4,17,"f","(15,1,1)",120,0,"exact",0,0],[4,17,"f","(15,2)",119,0,"exact",0,0],[4,17,"f","(16,1)",16,0,"exact",0,0],[4,17,"f","(17)",1,0,"exact",0,0],[4,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[4,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,116,"lower bound",116,118],[4,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,504,"lower bound",504,525],[4,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1473,"lower bound",1473,1700],[4,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3055,"lower bound",3055,3808],[4,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,4574,"lower bound",4574,6188],[4,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,4834,"lower bound",4834,7072],[4,17,"f","(2,2,2,2,2,2,2,2,1)",4862,3134,"lower bound",3134,4862],[4,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,117,"lower bound",117,119],[4,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1027,"lower bound",1027,1105],[4,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,4550,"lower bound",4550,5236],[4,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,11199,"lower bound",11199,15912],[4,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,17995,"lower bound",17995,33320],[4,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,20781,"lower bound",20781,48620],[4,17,"f","(3,2,2,2,2,2,2,1,1)",46410,17543,"lower bound",17543,46410],[4,17,"f","(3,2,2,2,2,2,2,2)",19448,7199,"lower bound",7199,19448],[4,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3079,"lower bound",3079,3536],[4,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,13197,"lower bound",13197,20400],[4,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,30139,"lower bound",30139,62832],[4,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,44155,"lower bound",44155,123760],[4,17,"f","(3,3,2,2,2,2,1,1,1)",159120,44227,"lower bound",44227,159120],[4,17,"f","(3,3,2,2,2,2,2,1)",116688,28587,"lower bound",28587,116688],[4,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,15972,"lower bound",15972,35700],[4,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,43446,"lower bound",43446,129948],[4,17,"f","(3,3,3,2,2,1,1,1,1)",247520,60796,"lower bound",60796,247520],[4,17,"f","(3,3,3,2,2,2,1,1)",272272,52428,"lower bound",52428,272272],[4,17,"f","(3,3,3,2,2,2,2)",121550,20521,"lower bound",20521,121550],[4,17,"f","(3,3,3,3,1,1,1,1,1)",129948,30514,"lower bound",30514,129948],[4,17,"f","(3,3,3,3,2,1,1,1)",272272,46214,"lower bound",46214,272272],[4,17,"f","(3,3,3,3,2,2,1)",243100,33013,"lower bound",33013,243100],[4,17,"f","(3,3,3,3,3,1,1)",136136,16488,"lower bound",16488,136136],[4,17,"f","(3,3,3,3,3,2)",87516,9457,"lower bound",9457,87516],[4,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,520,"lower bound",520,542],[4,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,4649,"lower bound",4649,5355],[4,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,15957,"lower bound",15957,24752],[4,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,33582,"lower bound",33582,70720],[4,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,47644,"lower bound",47644,134640],[4,17,"f","(4,2,2,2,2,2,1,1,1)",170170,46946,"lower bound",46946,170170],[4,17,"f","(4,2,2,2,2,2,2,1)",123760,30007,"lower bound",30007,123760],[4,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,13427,"lower bound",13427,20944],[4,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,49375,"lower bound",49375,116688],[4,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,99598,"lower bound",99598,333200],[4,17,"f","(4,3,2,2,2,1,1,1,1)",583440,123643,"lower bound",123643,583440],[4,17,"f","(4,3,2,2,2,2,1,1)",618800,99731,"lower bound",99731,618800],[4,17,"f","(4,3,2,2,2,2,2)",272272,37623,"lower bound",37623,272272],[4,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,57170,"lower bound",57170,205632],[4,17,"f","(4,3,3,2,1,1,1,1,1)",680680,127007,"lower bound",127007,680680],[4,17,"f","(4,3,3,2,2,1,1,1)",1113840,142521,"lower bound",142521,1113840],[4,17,"f","(4,3,3,2,2,2,1)",918918,89706,"lower bound",89706,918918],[4,17,"f","(4,3,3,3,1,1,1,1)",618800,71249,"lower bound",71249,618800],[4,17,"f","(4,3,3,3,2,1,1)",1050192,83721,"lower bound",83721,1050192],[4,17,"f","(4,3,3,3,2,2)",544544,36536,"lower bound",36536,544544],[4,17,"f","(4,3,3,3,3,1)",388960,23421,"lower bound",23421,388960],[4,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,16316,"lower bound",16316,37400],[4,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,57507,"lower bound",57507,209440],[4,17,"f","(4,4,2,2,1,1,1,1,1)",556920,97614,"lower bound",97614,556920],[4,17,"f","(4,4,2,2,2,1,1,1)",848640,99343,"lower bound",99343,848640],[4,17,"f","(4,4,2,2,2,2,1)",680680,59850,"lower bound",59850,680680],[4,17,"f","(4,4,3,1,1,1,1,1,1)",433160,73618,"lower bound",73618,433160],[4,17,"f","(4,4,3,2,1,1,1,1)",1299480,134898,"lower bound",134898,1299480],[4,17,"f","(4,4,3,2,2,1,1)",1750320,122249,"lower bound",122249,1750320],[4,17,"f","(4,4,3,2,2,2)",850850,48571,"lower bound",48571,850850],[4,17,"f","(4,4,3,3,1,1,1)",1089088,67858,"lower bound",67858,1089082],[4,17,"f","(4,4,3,3,2,1)",1361360,64752,"lower bound",64752,1361348],[4,17,"f","(4,4,3,3,3)",291720,13230,"lower bound",13230,291714],[4,17,"f","(4,4,4,1,1,1,1,1)",346528,36050,"lower bound",36050,346528],[4,17,"f","(4,4,4,2,1,1,1)",952952,58914,"lower bound",58914,952942],[4,17,"f","(4,4,4,2,2,1)",972400,43707,"lower bound",43707,972380],[4,17,"f","(4,4,4,3,1,1)",816816,32870,"lower bound",32870,816780],[4,17,"f","(4,4,4,3,2)",583440,22444,"lower bound",22444,583404],[4,17,"f","(4,4,4,4,1)",204204,7430,"lower bound",7430,204177],[4,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1572,"lower bound",1572,1704],[4,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,11481,"lower bound",11481,17017],[4,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,33059,"lower bound",33059,74256],[4,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,60374,"lower bound",60374,194480],[4,17,"f","(5,2,2,2,2,1,1,1,1)",327250,73037,"lower bound",73037,327250],[4,17,"f","(5,2,2,2,2,2,1,1)",340340,59301,"lower bound",59301,340340],[4,17,"f","(5,2,2,2,2,2,2)",148512,22631,"lower bound",22631,148512],[4,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,30275,"lower bound",30275,68068],[4,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,96893,"lower bound",96893,353600],[4,17,"f","(5,3,2,2,1,1,1,1,1)",908820,157761,"lower bound",157761,908820],[4,17,"f","(5,3,2,2,2,1,1,1)",1361360,160139,"lower bound",160139,1361360],[4,17,"f","(5,3,2,2,2,2,1)",1082900,98195,"lower bound",98195,1082900],[4,17,"f","(5,3,3,1,1,1,1,1,1)",586432,94107,"lower bound",94107,586432],[4,17,"f","(5,3,3,2,1,1,1,1)",1701700,163210,"lower bound",163210,1701700],[4,17,"f","(5,3,3,2,2,1,1)",2255526,146313,"lower bound",146313,2255526],[4,17,"f","(5,3,3,2,2,2)",1089088,58992,"lower bound",58992,1089088],[4,17,"f","(5,3,3,3,1,1,1)",1326000,72053,"lower bound",72053,1325990],[4,17,"f","(5,3,3,3,2,1)",1633632,68726,"lower bound",68726,1633612],[4,17,"f","(5,3,3,3,3)",340340,13627,"lower bound",13627,340330],[4,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,43066,"lower bound",43066,145860],[4,17,"f","(5,4,2,1,1,1,1,1,1)",749700,123410,"lower bound",123410,749700],[4,17,"f","(5,4,2,2,1,1,1,1)",1750320,164028,"lower bound",164028,1750320],[4,17,"f","(5,4,2,2,2,1,1)",2165800,134487,"lower bound",134487,2165800],[4,17,"f","(5,4,2,2,2,2)",1021020,52514,"lower bound",52514,1021020],[4,17,"f","(5,4,3,1,1,1,1,1)",1429428,131319,"lower bound",131319,1429428],[4,17,"f","(5,4,3,2,1,1,1)",3620864,188473,"lower bound",188473,3620800],[4,17,"f","(5,4,3,2,2,1)",3573570,136793,"lower bound",136793,3573442],[4,17,"f","(5,4,3,3,1,1)",2450448,78114,"lower bound",78114,2450268],[4,17,"f","(5,4,3,3,2)",1701700,53043,"lower bound",53043,1701520],[4,17,"f","(5,4,4,1,1,1,1)",1082900,57300,"lower bound",57300,1082830],[4,17,"f","(5,4,4,2,1,1)",2362932,73380,"lower bound",73380,2362608],[4,17,"f","(5,4,4,2,2)",1361360,38535,"lower bound",38535,1361106],[4,17,"f","(5,4,4,3,1)",1458600,35316,"lower bound",35316,1458195],[4,17,"f","(5,4,4,4)",204204,4951,"lower bound",4951,204096],[4,17,"f","(5,5,1,1,1,1,1,1,1)",157080,29744,"lower bound",29744,157080],[4,17,"f","(5,5,2,1,1,1,1,1)",742560,69804,"lower bound",69804,742560],[4,17,"f","(5,5,2,2,1,1,1)",1485120,73460,"lower bound",73460,1485070],[4,17,"f","(5,5,2,2,2,1)",1361360,48061,"lower bound",48061,1361260],[4,17,"f","(5,5,3,1,1,1,1)",1336608,66644,"lower bound",66644,1336482],[4,17,"f","(5,5,3,2,1,1)",2722720,77921,"lower bound",77921,2722180],[4,17,"f","(5,5,3,2,2)",1531530,40174,"lower bound",40174,1531116],[4,17,"f","(5,5,3,3,1)",1361360,29209,"lower bound",29209,1360820],[4,17,"f","(5,5,4,1,1,1)",1089088,30751,"lower bound",30751,1088612],[4,17,"f","(5,5,4,2,1)",1701700,34229,"lower bound",34229,1700625],[4,17,"f","(5,5,4,3)",583440,9912,"lower bound",9912,582900],[4,17,"f","(5,5,5,1,1)",340340,6419,"lower bound",6419,339895],[4,17,"f","(5,5,5,2)",291720,4338,"lower bound",4338,291260],[4,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,3414,"lower bound",3414,4260],[4,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,18883,"lower bound",18883,38675],[4,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,46578,"lower bound",46578,155584],[4,17,"f","(6,2,2,2,1,1,1,1,1)",364650,71303,"lower bound",71303,364650],[4,17,"f","(6,2,2,2,2,1,1,1)",523600,72613,"lower bound",72613,523600],[4,17,"f","(6,2,2,2,2,2,1)",408408,45123,"lower bound",45123,408408],[4,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,44375,"lower bound",44375,148512],[4,17,"f","(6,3,2,1,1,1,1,1,1)",700128,118026,"lower bound",118026,700128],[4,17,"f","(6,3,2,2,1,1,1,1)",1570800,154890,"lower bound",154890,1570800],[4,17,"f","(6,3,2,2,2,1,1)",1905904,127510,"lower bound",127510,1905904],[4,17,"f","(6,3,2,2,2,2)",891072,50119,"lower bound",50119,891072],[4,17,"f","(6,3,3,1,1,1,1,1)",1047200,93716,"lower bound",93716,1047200],[4,17,"f","(6,3,3,2,1,1,1)",2552550,128272,"lower bound",128272,2552480],[4,17,"f","(6,3,3,2,2,1)",2475200,92387,"lower bound",92387,2475060],[4,17,"f","(6,3,3,3,1,1)",1591200,46842,"lower bound",46842,1591020],[4,17,"f","(6,3,3,3,2)",1089088,31766,"lower bound",31766,1088908],[4,17,"f","(6,4,1,1,1,1,1,1,1)",318240,59476,"lower bound",59476,318240],[4,17,"f","(6,4,2,1,1,1,1,1)",1454112,136514,"lower bound",136514,1454112],[4,17,"f","(6,4,2,2,1,1,1)",2858856,141937,"lower bound",141937,2858730],[4,17,"f","(6,4,2,2,2,1)",2598960,91979,"lower bound",91979,2598708],[4,17,"f","(6,4,3,1,1,1,1)",2431000,116350,"lower bound",116350,2430700],[4,17,"f","(6,4,3,2,1,1)",4873050,133142,"lower bound",133142,4871790],[4,17,"f","(6,4,3,2,2)",2722720,68462,"lower bound",68462,2721760],[4,17,"f","(6,4,3,3,1)",2362932,48716,"lower bound",48716,2361717],[4,17,"f","(6,4,4,1,1,1)",1591200,41460,"lower bound",41460,1590300],[4,17,"f","(6,4,4,2,1)",2450448,46051,"lower bound",46051,2448450],[4,17,"f","(6,4,4,3)",816816,13128,"lower bound",13128,815844],[4,17,"f","(6,5,1,1,1,1,1,1)",399840,45150,"lower bound",45150,399840],[4,17,"f","(6,5,2,1,1,1,1)",1633632,81900,"lower bound",81900,1633248],[4,17,"f","(6,5,2,2,1,1)",2598960,67639,"lower bound",67639,2597700],[4,17,"f","(6,5,2,2,2)",1361360,30923,"lower bound",30923,1360484],[4,17,"f","(6,5,3,1,1,1)",2475200,62524,"lower bound",62524,2473220],[4,17,"f","(6,5,3,2,1)",3573570,63663,"lower bound",63663,3569475],[4,17,"f","(6,5,3,3)",972400,13865,"lower bound",13865,970780],[4,17,"f","(6,5,4,1,1)",1633632,26685,"lower bound",26685,1630468],[4,17,"f","(6,5,4,2)",1361360,17397,"lower bound",17397,1358188],[4,17,"f","(6,5,5,1)",388960,4607,"lower bound",4607,387400],[4,17,"f","(6,6,1,1,1,1,1)",259896,16808,"lower bound",16808,259700],[4,17,"f","(6,6,2,1,1,1)",891072,24470,"lower bound",24470,889632],[4,17,"f","(6,6,2,2,1)",1021020,18050,"lower bound",18050,1018725],[4,17,"f","(6,6,3,1,1)",1089088,17959,"lower bound",17959,1085808],[4,17,"f","(6,6,3,2)",850850,10711,"lower bound",10711,847780],[4,17,"f","(6,6,4,1)",544544,6170,"lower bound",6170,541720],[4,17,"f","(6,6,5)",87516,1155,"lower bound",1155,86775],[4,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,4727,"lower bound",4727,7981],[4,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,21529,"lower bound",21529,65637],[4,17,"f","(7,2,2,1,1,1,1,1,1)",238238,46009,"lower bound",46009,238238],[4,17,"f","(7,2,2,2,1,1,1,1)",486200,59416,"lower bound",59416,486200],[4,17,"f","(7,2,2,2,2,1,1)",565488,49301,"lower bound",49301,565488],[4,17,"f","(7,2,2,2,2,2)",259896,19215,"lower bound",19215,259896],[4,17,"f","(7,3,1,1,1,1,1,1,1)",233376,44300,"lower bound",44300,233376],[4,17,"f","(7,3,2,1,1,1,1,1)",972400,98123,"lower bound",98123,972400],[4,17,"f","(7,3,2,2,1,1,1)",1832600,103715,"lower bound",103715,1832460],[4,17,"f","(7,3,2,2,2,1)",1633632,66959,"lower bound",66959,1633352],[4,17,"f","(7,3,3,1,1,1,1)",1262250,62772,"lower bound",62772,1261980],[4,17,"f","(7,3,3,2,1,1)",2431000,69913,"lower bound",69913,2429920],[4,17,"f","(7,3,3,2,2)",1336608,34588,"lower bound",34588,1335798],[4,17,"f","(7,3,3,3,1)",1082900,22344,"lower bound",22344,1081955],[4,17,"f","(7,4,1,1,1,1,1,1)",466752,51950,"lower bound",51950,466752],[4,17,"f","(7,4,2,1,1,1,1)",1832600,93602,"lower bound",93602,1831970],[4,17,"f","(7,4,2,2,1,1)",2858856,77130,"lower bound",77130,2856840],[4,17,"f","(7,4,2,2,2)",1485120,34306,"lower bound",34306,1483734],[4,17,"f","(7,4,3,1,1,1)",2552550,63644,"lower bound",63644,2549610],[4,17,"f","(7,4,3,2,1)",3620864,62935,"lower bound",62935,3614912],[4,17,"f","(7,4,3,3)",952952,13093,"lower bound",13093,950684],[4,17,"f","(7,4,4,1,1)",1326000,20080,"lower bound",20080,1322360],[4,17,"f","(7,4,4,2)",1089088,12653,"lower bound",12653,1085498],[4,17,"f","(7,5,1,1,1,1,1)",565488,34852,"lower bound",34852,564948],[4,17,"f","(7,5,2,1,1,1)",1905904,48566,"lower bound",48566,1902040],[4,17,"f","(7,5,2,2,1)",2165800,34112,"lower bound",34112,2159710],[4,17,"f","(7,5,3,1,1)",2255526,32696,"lower bound",32696,2247075],[4,17,"f","(7,5,3,2)",1750320,18766,"lower bound",18766,1742472],[4,17,"f","(7,5,4,1)",1050192,9854,"lower bound",9854,1043472],[4,17,"f","(7,5,5)",136136,1639,"lower bound",1639,134726],[4,17,"f","(7,6,1,1,1,1)",408408,14222,"lower bound",14222,406432],[4,17,"f","(7,6,2,1,1)",1082900,17635,"lower bound",17635,1075515],[4,17,"f","(7,6,2,2)",680680,7464,"lower bound",7464,675290],[4,17,"f","(7,6,3,1)",918918,8677,"lower bound",8677,910182],[4,17,"f","(7,6,4)",243100,2706,"lower bound",2706,239915],[4,17,"f","(7,7,1,1,1)",148512,3281,"lower bound",3281,146348],[4,17,"f","(7,7,2,1)",272272,2701,"lower bound",2701,267568],[4,17,"f","(7,7,3)",121550,1105,"lower bound",1105,119045],[4,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,4745,"lower bound",4745,10999],[4,17,"f","(8,2,1,1,1,1,1,1,1)",85085,18778,"lower bound",18778,85085],[4,17,"f","(8,2,2,1,1,1,1,1)",272272,33685,"lower bound",33685,272272],[4,17,"f","(8,2,2,2,1,1,1)",466752,34986,"lower bound",34986,466668],[4,17,"f","(8,2,2,2,2,1)",399840,22474,"lower bound",22474,399672],[4,17,"f","(8,3,1,1,1,1,1,1)",272272,32125,"lower bound",32125,272272],[4,17,"f","(8,3,2,1,1,1,1)",972400,55948,"lower bound",55948,971760],[4,17,"f","(8,3,2,2,1,1)",1454112,47116,"lower bound",47116,1452168],[4,17,"f","(8,3,2,2,2)",742560,20812,"lower bound",20812,741256],[4,17,"f","(8,3,3,1,1,1)",1047200,28640,"lower bound",28640,1044960],[4,17,"f","(8,3,3,2,1)",1429428,28050,"lower bound",28050,1425095],[4,17,"f","(8,3,3,3)",346528,5379,"lower bound",5379,345016],[4,17,"f","(8,4,1,1,1,1,1)",486200,29687,"lower bound",29687,485450],[4,17,"f","(8,4,2,1,1,1)",1570800,40526,"lower bound",40526,1565760],[4,17,"f","(8,4,2,2,1)",1750320,28663,"lower bound",28663,1742580],[4,17,"f","(8,4,3,1,1)",1701700,24988,"lower bound",24988,1691795],[4,17,"f","(8,4,3,2)",1299480,14604,"lower bound",14604,1290450],[4,17,"f","(8,4,4,1)",618800,5564,"lower bound",5564,612760],[4,17,"f","(8,5,1,1,1,1)",523600,16185,"lower bound",16185,520120],[4,17,"f","(8,5,2,1,1)",1361360,18489,"lower bound",18489,1348720],[4,17,"f","(8,5,2,2)",848640,7583,"lower bound",7583,839520],[4,17,"f","(8,5,3,1)",1113840,8842,"lower bound",8842,1099560],[4,17,"f","(8,5,4)",272272,2647,"lower bound",2647,267512],[4,17,"f","(8,6,1,1,1)",340340,6572,"lower bound",6572,334345],[4,17,"f","(8,6,2,1)",618800,5048,"lower bound",5048,605920],[4,17,"f","(8,6,3)",272272,2247,"lower bound",2247,265538],[4,17,"f","(8,7,1,1)",123760,1226,"lower bound",1226,119200],[4,17,"f","(8,7,2)",116688,676,"lower bound",676,112032],[4,17,"f","(8,8,1)",19448,96,"lower bound",96,3382],[4,17,"f","(9,1,1,1,1,1,1,1,1)",12870,3690,"lower bound",3690,11677],[4,17,"f","(9,2,1,1,1,1,1,1)",85085,12614,"lower bound",12614,85085],[4,17,"f","(9,2,2,1,1,1,1)",233376,17894,"lower bound",17894,232980],[4,17,"f","(9,2,2,2,1,1)",318240,14801,"lower bound",14801,317160],[4,17,"f","(9,2,2,2,2)",157080,6599,"lower bound",6599,156396],[4,17,"f","(9,3,1,1,1,1,1)",238238,16826,"lower bound",16826,237468],[4,17,"f","(9,3,2,1,1,1)",700128,22409,"lower bound",22409,695592],[4,17,"f","(9,3,2,2,1)",749700,16795,"lower bound",16795,743085],[4,17,"f","(9,3,3,1,1)",586432,11077,"lower bound",11077,579768],[4,17,"f","(9,3,3,2)",433160,6809,"lower bound",6809,427308],[4,17,"f","(9,4,1,1,1,1)",364650,11729,"lower bound",11729,360510],[4,17,"f","(9,4,2,1,1)",908820,13764,"lower bound",13764,894645],[4,17,"f","(9,4,2,2)",556920,6048,"lower bound",6048,546930],[4,17,"f","(9,4,3,1)",680680,6537,"lower bound",6537,666280],[4,17,"f","(9,4,4)",129948,1071,"lower bound",1071,126273],[4,17,"f","(9,5,1,1,1)",327250,5716,"lower bound",5716,318815],[4,17,"f","(9,5,2,1)",583440,4216,"lower bound",4216,565800],[4,17,"f","(9,5,3)",247520,1787,"lower bound",1787,238700],[4,17,"f","(9,6,1,1)",170170,1566,"lower bound",1566,162060],[4,17,"f","(9,6,2)",159120,839,"lower bound",839,150930],[4,17,"f","(9,7,1)",46410,233,"lower bound",233,42795],[4,17,"f","(9,8)",4862,108,"lower bound",108,611],[4,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,18,"f","(10,1,1,1,1,1,1,1,1)",24310,5630,"lower bound",5630,24310],[4,18,"f","(10,2,1,1,1,1,1,1)",162162,20493,"lower bound",20493,162162],[4,18,"f","(10,2,2,1,1,1,1)",447525,30399,"lower bound",30399,446985],[4,18,"f","(10,2,2,2,1,1)",612612,26142,"lower bound",26142,611127],[4,18,"f","(10,2,2,2,2)",302940,11374,"lower bound",11374,301995],[4,18,"f","(10,3,1,1,1,1,1)",459459,28896,"lower bound",28896,458403],[4,18,"f","(10,3,2,1,1,1)",1357824,42493,"lower bound",42493,1351504],[4,18,"f","(10,3,2,2,1)",1458600,32382,"lower bound",32382,1449320],[4,18,"f","(10,3,3,1,1)",1145664,21334,"lower bound",21334,1136232],[4,18,"f","(10,3,3,2)",848232,13104,"lower bound",13104,839916],[4,18,"f","(10,4,1,1,1,1)",714714,21563,"lower bound",21563,708862],[4,18,"f","(10,4,2,1,1)",1790100,27902,"lower bound",27902,1769835],[4,18,"f","(10,4,2,2)",1099560,12521,"lower bound",12521,1085210],[4,18,"f","(10,4,3,1)",1349460,13356,"lower bound",13356,1328607],[4,18,"f","(10,4,4)",259896,1972,"lower bound",1972,254492],[4,18,"f","(10,5,1,1,1)",656370,10610,"lower bound",10610,644019],[4,18,"f","(10,5,2,1)",1175040,9111,"lower bound",9111,1149000],[4,18,"f","(10,5,3)",501228,3344,"lower bound",3344,488079],[4,18,"f","(10,6,1,1)",353430,3027,"lower bound",3027,340995],[4,18,"f","(10,6,2)",331500,1765,"lower bound",1765,318875],[4,18,"f","(10,7,1)",102102,674,"lower bound",674,96168],[4,18,"f","(10,8)",11934,279,"lower bound",279,2513],[4,18,"f","(11,1,1,1,1,1,1,1)",19448,2679,"lower bound",2679,10744],[4,18,"f","(11,2,1,1,1,1,1)",112320,8447,"lower bound",8447,111540],[4,18,"f","(11,2,2,1,1,1)",255255,9956,"lower bound",9956,251900],[4,18,"f","(11,2,2,2,1)",251328,7106,"lower bound",7106,246928],[4,18,"f","(11,3,1,1,1,1)",268515,9400,"lower bound",9400,263439],[4,18,"f","(11,3,2,1,1)",612612,11883,"lower bound",11883,597069],[4,18,"f","(11,3,2,2)",363528,5510,"lower bound",5510,353034],[4,18,"f","(11,3,3,1)",358020,4510,"lower bound",4510,346005],[4,18,"f","(11,4,1,1,1)",339456,5824,"lower bound",5824,327272],[4,18,"f","(11,4,2,1)",583440,5421,"lower bound",5421,559108],[4,18,"f","(11,4,3)",228480,1543,"lower bound",1543,217360],[4,18,"f","(11,5,1,1)",238680,2013,"lower bound",2013,224862],[4,18,"f","(11,5,2)",219912,1234,"lower bound",1234,206206],[4,18,"f","(11,6,1)",88128,620,"lower bound",620,80652],[4,18,"f","(11,7)",13260,320,"lower bound",320,2343],[4,18,"f","(12,1,1,1,1,1,1)",12376,965,"lower bound",965,3966],[4,18,"f","(12,2,1,1,1,1)",60060,2263,"lower bound",2263,56771],[4,18,"f","(12,2,2,1,1)",106029,2137,"lower bound",2137,98637],[4,18,"f","(12,2,2,2)",58344,958,"lower bound",958,53878],[4,18,"f","(12,3,1,1,1)",116025,2009,"lower bound",2009,106480],[4,18,"f","(12,3,2,1)",182784,2034,"lower bound",2034,165704],[4,18,"f","(12,3,3)",56100,435,"lower bound",435,50105],[4,18,"f","(12,4,1,1)",111384,979,"lower bound",979,98934],[4,18,"f","(12,4,2)",99144,664,"lower bound",664,87318],[4,18,"f","(12,5,1)",53040,389,"lower bound",389,45452],[4,18,"f","(12,6)",9996,220,"lower bound",220,1341],[4,18,"f","(13,1,1,1,1,1)",6188,241,"lower bound",241,927],[4,18,"f","(13,2,1,1,1)",24192,328,"lower bound",328,18876],[4,18,"f","(13,2,2,1)",29835,323,"lower bound",323,22737],[4,18,"f","(13,3,1,1)",35343,331,"lower bound",331,26598],[4,18,"f","(13,3,2)",29172,245,"lower bound",245,21593],[4,18,"f","(13,4,1)",22848,177,"lower bound",177,16588],[4,18,"f","(13,5)",5508,86,"lower bound",86,490],[4,18,"f","(14,1,1,1,1)",2380,15,"lower bound",15,116],[4,18,"f","(14,2,1,1)",7020,45,"lower bound",45,408],[4,18,"f","(14,2,2)",4641,30,"lower bound",30,261],[4,18,"f","(14,3,1)",6885,45,"lower bound",45,396],[4,18,"f","(14,4)",2244,15,"lower bound",15,121],[4,18,"f","(15,1,1,1)",680,0,"exact",0,0],[4,18,"f","(15,2,1)",1344,0,"exact",0,0],[4,18,"f","(15,3)",663,0,"exact",0,0],[4,18,"f","(16,1,1)",136,0,"exact",0,0],[4,18,"f","(16,2)",135,0,"exact",0,0],[4,18,"f","(17,1)",17,0,"exact",0,0],[4,18,"f","(18)",1,0,"exact",0,0],[4,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[4,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,132,"lower bound",132,135],[4,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,620,"lower bound",620,663],[4,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,1977,"lower bound",1977,2244],[4,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,4528,"lower bound",4528,5508],[4,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,7629,"lower bound",7629,9996],[4,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,9408,"lower bound",9408,13260],[4,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,7968,"lower bound",7968,11934],[4,18,"f","(2,2,2,2,2,2,2,2,2)",4862,3134,"lower bound",3134,4862],[4,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,133,"lower bound",133,136],[4,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1260,"lower bound",1260,1344],[4,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6081,"lower bound",6081,6885],[4,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,17222,"lower bound",17222,22848],[4,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,32249,"lower bound",32249,53040],[4,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,43350,"lower bound",43350,88128],[4,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,43158,"lower bound",43158,102102],[4,18,"f","(3,2,2,2,2,2,2,2,1)",70720,27876,"lower bound",27876,70720],[4,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4106,"lower bound",4106,4641],[4,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,20826,"lower bound",20826,29172],[4,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,54535,"lower bound",54535,99144],[4,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,92289,"lower bound",92289,219912],[4,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,109163,"lower bound",109163,331500],[4,18,"f","(3,3,2,2,2,2,2,1,1)",322218,90357,"lower bound",90357,322218],[4,18,"f","(3,3,2,2,2,2,2,2)",136136,35786,"lower bound",35786,136136],[4,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,29169,"lower bound",29169,56100],[4,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,89557,"lower bound",89557,228480],[4,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,148397,"lower bound",148397,501228],[4,18,"f","(3,3,3,2,2,2,1,1,1)",678912,157451,"lower bound",157451,678912],[4,18,"f","(3,3,3,2,2,2,2,1)",510510,101536,"lower bound",101536,510510],[4,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,73960,"lower bound",73960,259896],[4,18,"f","(3,3,3,3,2,1,1,1,1)",649740,137524,"lower bound",137524,649740],[4,18,"f","(3,3,3,3,2,2,1,1)",787644,131655,"lower bound",131655,787644],[4,18,"f","(3,3,3,3,2,2,2)",364650,53534,"lower bound",53534,364650],[4,18,"f","(3,3,3,3,3,1,1,1)",408408,62702,"lower bound",62702,408408],[4,18,"f","(3,3,3,3,3,2,1)",466752,58958,"lower bound",58958,466752],[4,18,"f","(3,3,3,3,3,3)",87516,9457,"lower bound",9457,87516],[4,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,637,"lower bound",637,673],[4,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,6196,"lower bound",6196,7020],[4,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,25156,"lower bound",25156,35343],[4,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,60738,"lower bound",60738,111384],[4,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,99221,"lower bound",99221,238680],[4,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,115371,"lower bound",115371,353430],[4,18,"f","(4,2,2,2,2,2,2,1,1)",340340,94496,"lower bound",94496,340340],[4,18,"f","(4,2,2,2,2,2,2,2)",143208,37206,"lower bound",37206,143208],[4,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,21155,"lower bound",21155,29835],[4,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,91956,"lower bound",91956,182784],[4,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,212694,"lower bound",212694,583440],[4,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,315040,"lower bound",315040,1175040],[4,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,314547,"lower bound",314547,1531530],[4,18,"f","(4,3,2,2,2,2,2,1)",1131520,195948,"lower bound",195948,1131520],[4,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,122517,"lower bound",122517,358020],[4,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,327221,"lower bound",327221,1349460],[4,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,453967,"lower bound",453967,2625480],[4,18,"f","(4,3,3,2,2,2,1,1)",2923830,384386,"lower bound",384386,2923830],[4,18,"f","(4,3,3,2,2,2,2)",1312740,147850,"lower bound",147850,1312740],[4,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,228770,"lower bound",228770,1429428],[4,18,"f","(4,3,3,3,2,1,1,1)",3055104,343705,"lower bound",343705,3055104],[4,18,"f","(4,3,3,3,2,2,1)",2756754,242976,"lower bound",242976,2756754],[4,18,"f","(4,3,3,3,3,1,1)",1575288,123630,"lower bound",123630,1575288],[4,18,"f","(4,3,3,3,3,2)",1021020,69414,"lower bound",69414,1021020],[4,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,29743,"lower bound",29743,58344],[4,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,123198,"lower bound",123198,363528],[4,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,254719,"lower bound",254719,1099560],[4,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,320600,"lower bound",320600,1989000],[4,18,"f","(4,4,2,2,2,2,1,1)",2148120,258924,"lower bound",258924,2148120],[4,18,"f","(4,4,2,2,2,2,2)",952952,97473,"lower bound",97473,952952],[4,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,188295,"lower bound",188295,848232],[4,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,433137,"lower bound",433137,2970240],[4,18,"f","(4,4,3,2,2,1,1,1)",5012280,499011,"lower bound",499011,5012280],[4,18,"f","(4,4,3,2,2,2,1)",4200768,320376,"lower bound",320376,4200768],[4,18,"f","(4,4,3,3,1,1,1,1)",3007368,274005,"lower bound",274005,3007368],[4,18,"f","(4,4,3,3,2,1,1)",5250960,338580,"lower bound",338580,5250960],[4,18,"f","(4,4,3,3,2,2)",2756754,149859,"lower bound",149859,2756754],[4,18,"f","(4,4,3,3,3,1)",2042040,101403,"lower bound",101403,2042040],[4,18,"f","(4,4,4,1,1,1,1,1,1)",779688,109668,"lower bound",109668,779688],[4,18,"f","(4,4,4,2,1,1,1,1)",2598960,229862,"lower bound",229862,2598960],[4,18,"f","(4,4,4,2,2,1,1)",3675672,224870,"lower bound",224870,3675672],[4,18,"f","(4,4,4,2,2,2)",1823250,92278,"lower bound",92278,1823250],[4,18,"f","(4,4,4,3,1,1,1)",2858856,159642,"lower bound",159642,2858852],[4,18,"f","(4,4,4,3,2,1)",3734016,163773,"lower bound",163773,3734008],[4,18,"f","(4,4,4,3,3)",875160,35674,"lower bound",35674,875156],[4,18,"f","(4,4,4,4,1,1)",1021020,40300,"lower bound",40300,1021011],[4,18,"f","(4,4,4,4,2)",787644,29874,"lower bound",29874,787635],[4,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2092,"lower bound",2092,2380],[4,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,17702,"lower bound",17702,24192],[4,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,60497,"lower bound",60497,116025],[4,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,127015,"lower bound",127015,339456],[4,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,181055,"lower bound",181055,656370],[4,18,"f","(5,2,2,2,2,2,1,1,1)",837760,179284,"lower bound",179284,837760],[4,18,"f","(5,2,2,2,2,2,2,1)",612612,111939,"lower bound",111939,612612],[4,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,55183,"lower bound",55183,106029],[4,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,209602,"lower bound",209602,612612],[4,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,414626,"lower bound",414626,1790100],[4,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,514580,"lower bound",514580,3180870],[4,18,"f","(5,3,2,2,2,2,1,1)",3403400,417366,"lower bound",417366,3403400],[4,18,"f","(5,3,2,2,2,2,2)",1503684,158449,"lower bound",158449,1503684],[4,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,248170,"lower bound",248170,1145664],[4,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,542085,"lower bound",542085,3877632],[4,18,"f","(5,3,3,2,2,1,1,1)",6432426,612183,"lower bound",612183,6432426],[4,18,"f","(5,3,3,2,2,2,1)",5346432,393206,"lower bound",393206,5346432],[4,18,"f","(5,3,3,3,1,1,1,1)",3646500,306512,"lower bound",306512,3646500],[4,18,"f","(5,3,3,3,2,1,1)",6265350,370813,"lower bound",370813,6265350],[4,18,"f","(5,3,3,3,2,2)",3267264,164254,"lower bound",164254,3267264],[4,18,"f","(5,3,3,3,3,1)",2362932,105774,"lower bound",105774,2362932],[4,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,89657,"lower bound",89657,251328],[4,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,320876,"lower bound",320876,1458600],[4,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,542813,"lower bound",542813,3965760],[4,18,"f","(5,4,2,2,2,1,1,1)",6126120,557997,"lower bound",557997,6126120],[4,18,"f","(5,4,2,2,2,2,1)",4950400,345046,"lower bound",345046,4950400],[4,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,422454,"lower bound",422454,3198720],[4,18,"f","(5,4,3,2,1,1,1,1)",9801792,781928,"lower bound",781928,9801792],[4,18,"f","(5,4,3,2,2,1,1)",13366080,728315,"lower bound",728315,13366080],[4,18,"f","(5,4,3,2,2,2)",6534528,296870,"lower bound",296870,6534528],[4,18,"f","(5,4,3,3,1,1,1)",8486400,406498,"lower bound",406498,8486380],[4,18,"f","(5,4,3,3,2,1)",10720710,401428,"lower bound",401428,10720670],[4,18,"f","(5,4,3,3,3)",2333760,79900,"lower bound",79900,2333740],[4,18,"f","(5,4,4,1,1,1,1,1)",2858856,224669,"lower bound",224669,2858856],[4,18,"f","(5,4,4,2,1,1,1)",8019648,378067,"lower bound",378067,8019612],[4,18,"f","(5,4,4,2,2,1)",8270262,292415,"lower bound",292415,8270190],[4,18,"f","(5,4,4,3,1,1)",7088796,219680,"lower bound",219680,7088661],[4,18,"f","(5,4,4,3,2)",5105100,149338,"lower bound",149338,5104965],[4,18,"f","(5,4,4,4,1)",1867008,47697,"lower bound",47697,1866900],[4,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,72810,"lower bound",72810,302940],[4,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,222958,"lower bound",222958,1649340],[4,18,"f","(5,5,2,2,1,1,1,1)",3978000,307292,"lower bound",307292,3978000],[4,18,"f","(5,5,2,2,2,1,1)",5012280,256008,"lower bound",256008,5012280],[4,18,"f","(5,5,2,2,2,2)",2382380,100575,"lower bound",100575,2382380],[4,18,"f","(5,5,3,1,1,1,1,1)",3508596,267767,"lower bound",267767,3508596],[4,18,"f","(5,5,3,2,1,1,1)",9165312,406498,"lower bound",406498,9165252],[4,18,"f","(5,5,3,2,2,1)",9189180,302949,"lower bound",302949,9189060],[4,18,"f","(5,5,3,3,1,1)",6534528,185244,"lower bound",185244,6534348],[4,18,"f","(5,5,3,3,2)",4594590,122426,"lower bound",122426,4594410],[4,18,"f","(5,5,4,1,1,1,1)",3508596,154695,"lower bound",154695,3508512],[4,18,"f","(5,5,4,2,1,1)",7876440,216281,"lower bound",216281,7876035],[4,18,"f","(5,5,4,2,2)",4594590,112938,"lower bound",112938,4594269],[4,18,"f","(5,5,4,3,1)",5105100,108666,"lower bound",108666,5104560],[4,18,"f","(5,5,4,4)",787644,14863,"lower bound",14863,787482],[4,18,"f","(5,5,5,1,1,1)",1429428,37170,"lower bound",37170,1429225],[4,18,"f","(5,5,5,2,1)",2333760,44986,"lower bound",44986,2333276],[4,18,"f","(5,5,5,3)",875160,14250,"lower bound",14250,874890],[4,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,4986,"lower bound",4986,6188],[4,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,33778,"lower bound",33778,60060],[4,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,98520,"lower bound",98520,268515],[4,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,178255,"lower bound",178255,714714],[4,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,216953,"lower bound",216953,1215500],[4,18,"f","(6,2,2,2,2,2,1,1)",1272348,177037,"lower bound",177037,1272348],[4,18,"f","(6,2,2,2,2,2,2)",556920,67754,"lower bound",67754,556920],[4,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,93533,"lower bound",93533,255255],[4,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,305872,"lower bound",305872,1357824],[4,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,501980,"lower bound",501980,3544398],[4,18,"f","(6,3,2,2,2,1,1,1)",5361664,515152,"lower bound",515152,5361664],[4,18,"f","(6,3,2,2,2,2,1)",4288284,320947,"lower bound",320947,4288284],[4,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,305849,"lower bound",305849,2333760],[4,18,"f","(6,3,3,2,1,1,1,1)",6872250,540088,"lower bound",540088,6872250],[4,18,"f","(6,3,3,2,2,1,1)",9189180,494482,"lower bound",494482,9189180],[4,18,"f","(6,3,3,2,2,2)",4455360,201498,"lower bound",201498,4455360],[4,18,"f","(6,3,3,3,1,1,1)",5469750,247167,"lower bound",247167,5469730],[4,18,"f","(6,3,3,3,2,1)",6789120,239721,"lower bound",239721,6789080],[4,18,"f","(6,3,3,3,3)",1429428,45393,"lower bound",45393,1429408],[4,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,146917,"lower bound",146917,612612],[4,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,437426,"lower bound",437426,3222180],[4,18,"f","(6,4,2,2,1,1,1,1)",7634088,597369,"lower bound",597369,7634088],[4,18,"f","(6,4,2,2,2,1,1)",9529520,495913,"lower bound",495913,9529520],[4,18,"f","(6,4,2,2,2,2)",4511052,194612,"lower bound",194612,4511052],[4,18,"f","(6,4,3,1,1,1,1,1)",6361740,477899,"lower bound",477899,6361740],[4,18,"f","(6,4,3,2,1,1,1)",16336320,708174,"lower bound",708174,16336180],[4,18,"f","(6,4,3,2,2,1)",16243500,522763,"lower bound",522763,16243220],[4,18,"f","(6,4,3,3,1,1)",11277630,306814,"lower bound",306814,11277225],[4,18,"f","(6,4,3,3,2)",7876440,201987,"lower bound",201987,7876035],[4,18,"f","(6,4,4,1,1,1,1)",5105100,215110,"lower bound",215110,5104940],[4,18,"f","(6,4,4,2,1,1)",11277630,294033,"lower bound",294033,11276874],[4,18,"f","(6,4,4,2,2)",6534528,153048,"lower bound",153048,6533932],[4,18,"f","(6,4,4,3,1)",7088796,143211,"lower bound",143211,7087824],[4,18,"f","(6,4,4,4)",1021020,18079,"lower bound",18079,1020750],[4,18,"f","(6,5,1,1,1,1,1,1,1)",875160,134370,"lower bound",134370,875160],[4,18,"f","(6,5,2,1,1,1,1,1)",4230144,333368,"lower bound",333368,4230144],[4,18,"f","(6,5,2,2,1,1,1)",8576568,364936,"lower bound",364936,8576428],[4,18,"f","(6,5,2,2,2,1)",7920640,238602,"lower bound",238602,7920360],[4,18,"f","(6,5,3,1,1,1,1)",7876440,327418,"lower bound",327418,7876080],[4,18,"f","(6,5,3,2,1,1)",16243500,404889,"lower bound",404889,16241925],[4,18,"f","(6,5,3,2,2)",9189180,203222,"lower bound",203222,9187965],[4,18,"f","(6,5,3,3,1)",8270262,155453,"lower bound",155453,8268642],[4,18,"f","(6,5,4,1,1,1)",6789120,161420,"lower bound",161420,6787656],[4,18,"f","(6,5,4,2,1)",10720710,188025,"lower bound",188025,10717350],[4,18,"f","(6,5,4,3)",3734016,54302,"lower bound",54302,3732288],[4,18,"f","(6,5,5,1,1)",2362932,37711,"lower bound",37711,2361381],[4,18,"f","(6,5,5,2)",2042040,26342,"lower bound",26342,2040418],[4,18,"f","(6,6,1,1,1,1,1,1)",659736,61958,"lower bound",61958,659736],[4,18,"f","(6,6,2,1,1,1,1)",2784600,123178,"lower bound",123178,2784320],[4,18,"f","(6,6,2,2,1,1)",4511052,110159,"lower bound",110159,4510107],[4,18,"f","(6,6,2,2,2)",2382380,48973,"lower bound",48973,2381715],[4,18,"f","(6,6,3,1,1,1)",4455360,104953,"lower bound",104953,4453800],[4,18,"f","(6,6,3,2,1)",6534528,110383,"lower bound",110383,6531228],[4,18,"f","(6,6,3,3)",1823250,24576,"lower bound",24576,1821900],[4,18,"f","(6,6,4,1,1)",3267264,50814,"lower bound",50814,3264432],[4,18,"f","(6,6,4,2)",2756754,34278,"lower bound",34278,2753868],[4,18,"f","(6,6,5,1)",1021020,11932,"lower bound",11932,1019147],[4,18,"f","(6,6,6)",87516,1155,"lower bound",1155,87207],[4,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,8141,"lower bound",8141,12376],[4,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,45139,"lower bound",45139,112320],[4,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,114116,"lower bound",114116,459459],[4,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,176728,"lower bound",176728,1089088],[4,18,"f","(7,2,2,2,2,1,1,1)",1575288,181330,"lower bound",181330,1575288],[4,18,"f","(7,2,2,2,2,2,1)",1233792,113639,"lower bound",113639,1233792],[4,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,110204,"lower bound",110204,447525],[4,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,306458,"lower bound",306458,2144142],[4,18,"f","(7,3,2,2,1,1,1,1)",4862000,416144,"lower bound",416144,4862000],[4,18,"f","(7,3,2,2,2,1,1)",5937624,347485,"lower bound",347485,5937624],[4,18,"f","(7,3,2,2,2,2)",2784600,136293,"lower bound",136293,2784600],[4,18,"f","(7,3,3,1,1,1,1,1)",3281850,254611,"lower bound",254611,3281850],[4,18,"f","(7,3,3,2,1,1,1)",8078400,364672,"lower bound",364672,8078280],[4,18,"f","(7,3,3,2,2,1)",7876440,263847,"lower bound",263847,7876200],[4,18,"f","(7,3,3,3,1,1)",5105100,139099,"lower bound",139099,5104785],[4,18,"f","(7,3,3,3,2)",3508596,88698,"lower bound",88698,3508281],[4,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,155726,"lower bound",155726,1018368],[4,18,"f","(7,4,2,1,1,1,1,1)",4725864,380189,"lower bound",380189,4725864],[4,18,"f","(7,4,2,2,1,1,1)",9382912,416384,"lower bound",416384,9382688],[4,18,"f","(7,4,2,2,2,1)",8576568,270374,"lower bound",270374,8576120],[4,18,"f","(7,4,3,1,1,1,1)",8078400,336368,"lower bound",336368,8077860],[4,18,"f","(7,4,3,2,1,1)",16336320,406764,"lower bound",406764,16334016],[4,18,"f","(7,4,3,2,2)",9165312,200291,"lower bound",200291,9163548],[4,18,"f","(7,4,3,3,1)",8019648,147088,"lower bound",147088,8017380],[4,18,"f","(7,4,4,1,1,1)",5469750,125184,"lower bound",125184,5468050],[4,18,"f","(7,4,4,2,1)",8486400,141719,"lower bound",141719,8482580],[4,18,"f","(7,4,4,3)",2858856,38874,"lower bound",38874,2856966],[4,18,"f","(7,5,1,1,1,1,1,1)",1432080,131952,"lower bound",131952,1432080],[4,18,"f","(7,5,2,1,1,1,1)",5937624,258920,"lower bound",258920,5936868],[4,18,"f","(7,5,2,2,1,1)",9529520,227447,"lower bound",227447,9527000],[4,18,"f","(7,5,2,2,2)",5012280,99341,"lower bound",99341,5010516],[4,18,"f","(7,5,3,1,1,1)",9189180,207430,"lower bound",207430,9185139],[4,18,"f","(7,5,3,2,1)",13366080,212172,"lower bound",212172,13357620],[4,18,"f","(7,5,3,3)",3675672,45724,"lower bound",45724,3672270],[4,18,"f","(7,5,4,1,1)",6265350,89315,"lower bound",89315,6258585],[4,18,"f","(7,5,4,2)",5250960,58670,"lower bound",58670,5244120],[4,18,"f","(7,5,5,1)",1575288,16100,"lower bound",16100,1571718],[4,18,"f","(7,6,1,1,1,1,1)",1233792,65882,"lower bound",65882,1233288],[4,18,"f","(7,6,2,1,1,1)",4288284,104893,"lower bound",104893,4284469],[4,18,"f","(7,6,2,2,1)",4950400,77261,"lower bound",77261,4944240],[4,18,"f","(7,6,3,1,1)",5346432,76967,"lower bound",76967,5337444],[4,18,"f","(7,6,3,2)",4200768,45618,"lower bound",45618,4192284],[4,18,"f","(7,6,4,1)",2756754,27407,"lower bound",27407,2748669],[4,18,"f","(7,6,5)",466752,5500,"lower bound",5500,464488],[4,18,"f","(7,7,1,1,1,1)",556920,17503,"lower bound",17503,555576],[4,18,"f","(7,7,2,1,1)",1503684,23617,"lower bound",23617,1498497],[4,18,"f","(7,7,2,2)",952952,10165,"lower bound",10165,949116],[4,18,"f","(7,7,3,1)",1312740,12483,"lower bound",12483,1306335],[4,18,"f","(7,7,4)",364650,3811,"lower bound",3811,362160],[4,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,9472,"lower bound",9472,19448],[4,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,45052,"lower bound",45052,162162],[4,18,"f","(8,2,2,1,1,1,1,1,1)",595595,98472,"lower bound",98472,595595],[4,18,"f","(8,2,2,2,1,1,1,1)",1225224,128087,"lower bound",128087,1225224],[4,18,"f","(8,2,2,2,2,1,1)",1432080,106761,"lower bound",106761,1432080],[4,18,"f","(8,2,2,2,2,2)",659736,41689,"lower bound",41689,659736],[4,18,"f","(8,3,1,1,1,1,1,1,1)",590733,95203,"lower bound",95203,590733],[4,18,"f","(8,3,2,1,1,1,1,1)",2489344,219881,"lower bound",219881,2489344],[4,18,"f","(8,3,2,2,1,1,1)",4725864,241765,"lower bound",241765,4725648],[4,18,"f","(8,3,2,2,2,1)",4230144,157361,"lower bound",157361,4229712],[4,18,"f","(8,3,3,1,1,1,1)",3281850,147360,"lower bound",147360,3281430],[4,18,"f","(8,3,3,2,1,1)",6361740,173719,"lower bound",173719,6360039],[4,18,"f","(8,3,3,2,2)",3508596,83450,"lower bound",83450,3507315],[4,18,"f","(8,3,3,3,1)",2858856,55773,"lower bound",55773,2857344],[4,18,"f","(8,4,1,1,1,1,1,1)",1225224,113762,"lower bound",113762,1225224],[4,18,"f","(8,4,2,1,1,1,1)",4862000,219763,"lower bound",219763,4861000],[4,18,"f","(8,4,2,2,1,1)",7634088,193435,"lower bound",193435,7630848],[4,18,"f","(8,4,2,2,2)",3978000,83781,"lower bound",83781,3975760],[4,18,"f","(8,4,3,1,1,1)",6872250,157798,"lower bound",157798,6867455],[4,18,"f","(8,4,3,2,1)",9801792,159240,"lower bound",159240,9791992],[4,18,"f","(8,4,3,3)",2598960,33076,"lower bound",33076,2595180],[4,18,"f","(8,4,4,1,1)",3646500,50632,"lower bound",50632,3640365],[4,18,"f","(8,4,4,2)",3007368,32821,"lower bound",32821,3001278],[4,18,"f","(8,5,1,1,1,1,1)",1575288,80724,"lower bound",80724,1574388],[4,18,"f","(8,5,2,1,1,1)",5361664,123766,"lower bound",123766,5355072],[4,18,"f","(8,5,2,2,1)",6126120,88847,"lower bound",88847,6115624],[4,18,"f","(8,5,3,1,1)",6432426,85015,"lower bound",85015,6417642],[4,18,"f","(8,5,3,2)",5012280,49795,"lower bound",49795,4998462],[4,18,"f","(8,5,4,1)",3055104,26907,"lower bound",26907,3042984],[4,18,"f","(8,5,5)",408408,4286,"lower bound",4286,405758],[4,18,"f","(8,6,1,1,1,1)",1272348,36979,"lower bound",36979,1268595],[4,18,"f","(8,6,2,1,1)",3403400,47744,"lower bound",47744,3389120],[4,18,"f","(8,6,2,2)",2148120,20095,"lower bound",20095,2137620],[4,18,"f","(8,6,3,1)",2923830,24814,"lower bound",24814,2906568],[4,18,"f","(8,6,4)",787644,7600,"lower bound",7600,781173],[4,18,"f","(8,7,1,1,1)",612612,11079,"lower bound",11079,607071],[4,18,"f","(8,7,2,1)",1131520,9651,"lower bound",9651,1119312],[4,18,"f","(8,7,3)",510510,4028,"lower bound",4028,503895],[4,18,"f","(8,8,1,1)",143208,1322,"lower bound",1322,140148],[4,18,"f","(8,8,2)",136136,772,"lower bound",772,132972],[4,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,8435,"lower bound",8435,24310],[4,18,"f","(9,2,1,1,1,1,1,1,1)",183040,35082,"lower bound",35082,183040],[4,18,"f","(9,2,2,1,1,1,1,1)",590733,64193,"lower bound",64193,590733],[4,18,"f","(9,2,2,2,1,1,1)",1018368,67681,"lower bound",67681,1018248],[4,18,"f","(9,2,2,2,2,1)",875160,43874,"lower bound",43874,874920],[4,18,"f","(9,3,1,1,1,1,1,1)",595595,61565,"lower bound",61565,595595],[4,18,"f","(9,3,2,1,1,1,1)",2144142,113077,"lower bound",113077,2143218],[4,18,"f","(9,3,2,2,1,1)",3222180,101121,"lower bound",101121,3219345],[4,18,"f","(9,3,2,2,2)",1649340,44206,"lower bound",44206,1647429],[4,18,"f","(9,3,3,1,1,1)",2333760,62126,"lower bound",62126,2330456],[4,18,"f","(9,3,3,2,1)",3198720,62731,"lower bound",62731,3192280],[4,18,"f","(9,3,3,3)",779688,12188,"lower bound",12188,777420],[4,18,"f","(9,4,1,1,1,1,1)",1089088,58242,"lower bound",58242,1087988],[4,18,"f","(9,4,2,1,1,1)",3544398,88428,"lower bound",88428,3536865],[4,18,"f","(9,4,2,2,1)",3965760,65270,"lower bound",65270,3954096],[4,18,"f","(9,4,3,1,1)",3877632,56366,"lower bound",56366,3862536],[4,18,"f","(9,4,3,2)",2970240,33998,"lower bound",33998,2956408],[4,18,"f","(9,4,4,1)",1429428,13172,"lower bound",13172,1420013],[4,18,"f","(9,5,1,1,1,1)",1215500,33630,"lower bound",33630,1210125],[4,18,"f","(9,5,2,1,1)",3180870,42185,"lower bound",42185,3161070],[4,18,"f","(9,5,2,2)",1989000,17847,"lower bound",17847,1974630],[4,18,"f","(9,5,3,1)",2625480,21382,"lower bound",21382,2602740],[4,18,"f","(9,5,4)",649740,5505,"lower bound",5505,642005],[4,18,"f","(9,6,1,1,1)",837760,13854,"lower bound",13854,827796],[4,18,"f","(9,6,2,1)",1531530,11669,"lower bound",11669,1509900],[4,18,"f","(9,6,3)",678912,4873,"lower bound",4873,667456],[4,18,"f","(9,7,1,1)",340340,3025,"lower bound",3025,331753],[4,18,"f","(9,7,2)",322218,1748,"lower bound",1748,313389],[4,18,"f","(9,8,1)",70720,437,"lower bound",437,67448],[4,18,"f","(9,9)",4862,108,"lower bound",108,1124],[4,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,19,"f","(10,9)",16796,387,"lower bound",387,14748],[4,19,"f","(13,1,1,1,1,1,1)",18564,1206,"lower bound",1206,16516],[4,19,"f","(13,6)",15504,306,"lower bound",306,10762],[4,19,"f","(14,1,1,1,1,1)",8568,256,"lower bound",256,6211],[4,19,"f","(14,5)",7752,101,"lower bound",101,4762],[4,19,"f","(15,1,1,1,1)",3060,15,"lower bound",15,1365],[4,19,"f","(15,2,1,1)",9044,45,"lower bound",45,4095],[4,19,"f","(15,2,2)",5985,30,"lower bound",30,2730],[4,19,"f","(15,3,1)",8892,45,"lower bound",45,4095],[4,19,"f","(15,4)",2907,15,"lower bound",15,1365],[4,19,"f","(16,1,1,1)",816,0,"exact",0,0],[4,19,"f","(16,2,1)",1615,0,"exact",0,0],[4,19,"f","(16,3)",798,0,"exact",0,0],[4,19,"f","(17,1,1)",153,0,"exact",0,0],[4,19,"f","(17,2)",152,0,"exact",0,0],[4,19,"f","(18,1)",18,0,"exact",0,0],[4,19,"f","(19)",1,0,"exact",0,0],[4,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[4,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[4,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,20,"f","(10,10)",16796,387,"lower bound",387,14748],[4,20,"f","(15,1,1,1,1,1)",11628,271,"lower bound",271,9580],[4,20,"f","(15,5)",10659,116,"lower bound",116,8008],[4,20,"f","(16,1,1,1,1)",3876,15,"lower bound",15,1820],[4,20,"f","(16,2,1,1)",11475,45,"lower bound",45,5460],[4,20,"f","(16,2,2)",7600,30,"lower bound",30,3640],[4,20,"f","(16,3,1)",11305,45,"lower bound",45,5460],[4,20,"f","(16,4)",3705,15,"lower bound",15,1820],[4,20,"f","(17,1,1,1)",969,0,"exact",0,0],[4,20,"f","(17,2,1)",1920,0,"exact",0,0],[4,20,"f","(17,3)",950,0,"exact",0,0],[4,20,"f","(18,1,1)",171,0,"exact",0,0],[4,20,"f","(18,2)",170,0,"exact",0,0],[4,20,"f","(19,1)",19,0,"exact",0,0],[4,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[4,20,"f","(20)",1,0,"exact",0,0],[4,21,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,21,"f","(16,1,1,1,1,1)",15504,286,"lower bound",286,13328],[4,21,"f","(16,5)",14364,131,"lower bound",131,11088],[4,21,"f","(17,1,1,1,1)",4845,15,"lower bound",15,2380],[4,21,"f","(17,2,1,1)",14364,45,"lower bound",45,7140],[4,21,"f","(17,2,2)",9520,30,"lower bound",30,4760],[4,21,"f","(17,3,1)",14175,45,"lower bound",45,7140],[4,21,"f","(17,4)",4655,15,"lower bound",15,2380],[4,21,"f","(18,1,1,1)",1140,0,"exact",0,0],[4,21,"f","(18,2,1)",2261,0,"exact",0,0],[4,21,"f","(18,3)",1120,0,"exact",0,0],[4,21,"f","(19,1,1)",190,0,"exact",0,0],[4,21,"f","(19,2)",189,0,"exact",0,0],[4,21,"f","(20,1)",20,0,"exact",0,0],[4,21,"f","(21)",1,0,"exact",0,0],[4,22,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,22,"f","(17,5)",19019,146,"lower bound",146,15028],[4,22,"f","(18,1,1,1,1)",5985,15,"lower bound",15,3060],[4,22,"f","(18,2,1,1)",17765,45,"lower bound",45,9180],[4,22,"f","(18,2,2)",11781,30,"lower bound",30,6120],[4,22,"f","(18,3,1)",17556,45,"lower bound",45,9180],[4,22,"f","(18,4)",5775,15,"lower 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bound",15,4845],[4,24,"f","(21,1,1,1)",1771,0,"exact",0,0],[4,24,"f","(21,2,1)",3520,0,"exact",0,0],[4,24,"f","(21,3)",1748,0,"exact",0,0],[4,24,"f","(22,1,1)",253,0,"exact",0,0],[4,24,"f","(22,2)",252,0,"exact",0,0],[4,24,"f","(23,1)",23,0,"exact",0,0],[4,24,"f","(24)",1,0,"exact",0,0],[4,25,"f","(21,1,1,1,1)",10626,15,"lower bound",15,5985],[4,25,"f","(21,4)",10350,15,"lower bound",15,5985],[4,25,"f","(22,1,1,1)",2024,0,"exact",0,0],[4,25,"f","(22,2,1)",4025,0,"exact",0,0],[4,25,"f","(22,3)",2000,0,"exact",0,0],[4,25,"f","(23,1,1)",276,0,"exact",0,0],[4,25,"f","(23,2)",275,0,"exact",0,0],[4,25,"f","(24,1)",24,0,"exact",0,0],[4,25,"f","(25)",1,0,"exact",0,0],[4,26,"f","(22,1,1,1,1)",12650,15,"lower bound",15,7315],[4,26,"f","(22,4)",12350,15,"lower 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","(6,6)",132,0,"exact",0,0],[4,12,"p","(7,1,1,1,1,1)",462,3,"exact",3,3],[4,12,"p","(7,2,1,1,1)",1728,2,"exact",2,2],[4,12,"p","(7,2,2,1)",2079,0,"exact",0,0],[4,12,"p","(7,3,1,1)",2376,0,"exact",0,0],[4,12,"p","(7,3,2)",1925,0,"exact",0,0],[4,12,"p","(7,4,1)",1408,0,"exact",0,0],[4,12,"p","(7,5)",297,0,"exact",0,0],[4,12,"p","(8,1,1,1,1)",330,0,"exact",0,0],[4,12,"p","(8,2,1,1)",945,0,"exact",0,0],[4,12,"p","(8,2,2)",616,0,"exact",0,0],[4,12,"p","(8,3,1)",891,0,"exact",0,0],[4,12,"p","(8,4)",275,0,"exact",0,0],[4,12,"p","(9,1,1,1)",165,0,"exact",0,0],[4,12,"p","(9,2,1)",320,0,"exact",0,0],[4,12,"p","(9,3)",154,0,"exact",0,0],[4,12,"p","(10,1,1)",55,0,"exact",0,0],[4,12,"p","(10,2)",54,0,"exact",0,0],[4,12,"p","(11,1)",11,0,"exact",0,0],[4,12,"p","(12)",1,0,"exact",0,0],[4,13,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,13,"p","(2,1,1,1,1,1,1,1,1,1,1,1)",12,6,"exact",6,6],[4,13,"p","(2,2,1,1,1,1,1,1,1,1,1)",65,23,"exact",23,23],[4,13,"p","(2,2,2,1,1,1,1,1,1,1)",208,58,"exact",58,58],[4,13,"p","(2,2,2,2,1,1,1,1,1)",429,87,"exact",87,87],[4,13,"p","(2,2,2,2,2,1,1,1)",572,83,"exact",83,83],[4,13,"p","(2,2,2,2,2,2,1)",429,42,"exact",42,42],[4,13,"p","(3,1,1,1,1,1,1,1,1,1,1)",66,23,"exact",23,23],[4,13,"p","(3,2,1,1,1,1,1,1,1,1)",429,116,"lower bound",116,117],[4,13,"p","(3,2,2,1,1,1,1,1,1)",1365,264,"lower bound",264,266],[4,13,"p","(3,2,2,2,1,1,1,1)",2574,336,"lower bound",336,340],[4,13,"p","(3,2,2,2,2,1,1)",2860,237,"lower bound",237,242],[4,13,"p","(3,2,2,2,2,2)",1287,72,"lower bound",72,78],[4,13,"p","(3,3,1,1,1,1,1,1,1)",936,176,"lower bound",176,179],[4,13,"p","(3,3,2,1,1,1,1,1)",3432,420,"lower bound",420,430],[4,13,"p","(3,3,2,2,1,1,1)",6006,430,"lower bound",430,443],[4,13,"p","(3,3,2,2,2,1)",5148,209,"lower bound",209,227],[4,13,"p","(3,3,3,1,1,1,1)",3575,238,"lower bound",238,249],[4,13,"p","(3,3,3,2,1,1)",6435,210,"lower bound",210,233],[4,13,"p","(3,3,3,2,2)",3432,62,"lower bound",62,74],[4,13,"p","(3,3,3,3,1)",2574,35,"lower bound",35,48],[4,13,"p","(4,1,1,1,1,1,1,1,1,1)",220,58,"exact",58,58],[4,13,"p","(4,2,1,1,1,1,1,1,1)",1430,264,"lower bound",264,266],[4,13,"p","(4,2,2,1,1,1,1,1)",4212,504,"lower bound",504,508],[4,13,"p","(4,2,2,2,1,1,1)",6864,489,"lower bound",489,495],[4,13,"p","(4,2,2,2,2,1)",5720,238,"lower bound",238,245],[4,13,"p","(4,3,1,1,1,1,1,1)",3640,420,"lower bound",420,427],[4,13,"p","(4,3,2,1,1,1,1)",12012,770,"lower bound",770,780],[4,13,"p","(4,3,2,2,1,1)",17160,561,"lower bound",561,576],[4,13,"p","(4,3,2,2,2)",8580,160,"lower bound",160,168],[4,13,"p","(4,3,3,1,1,1)",11440,323,"lower bound",323,333],[4,13,"p","(4,3,3,2,1)",15015,191,"lower bound",191,203],[4,13,"p","(4,3,3,3)",3432,19,"lower bound",19,23],[4,13,"p","(4,4,1,1,1,1,1)",4004,238,"lower bound",238,242],[4,13,"p","(4,4,2,1,1,1)",12012,329,"lower bound",329,336],[4,13,"p","(4,4,2,2,1)",12870,158,"lower bound",158,164],[4,13,"p","(4,4,3,1,1)",11583,111,"lower bound",111,117],[4,13,"p","(4,4,3,2)",8580,35,"lower bound",35,39],[4,13,"p","(4,4,4,1)",3432,6,"lower bound",6,8],[4,13,"p","(5,1,1,1,1,1,1,1,1)",495,88,"exact",88,88],[4,13,"p","(5,2,1,1,1,1,1,1)",3003,336,"lower bound",336,338],[4,13,"p","(5,2,2,1,1,1,1)",7800,489,"lower bound",489,490],[4,13,"p","(5,2,2,2,1,1)",10296,344,"exact",344,344],[4,13,"p","(5,2,2,2,2)",5005,101,"exact",101,101],[4,13,"p","(5,3,1,1,1,1,1)",7371,430,"lower bound",430,432],[4,13,"p","(5,3,2,1,1,1)",20592,559,"exact",559,559],[4,13,"p","(5,3,2,2,1)",21450,276,"exact",276,276],[4,13,"p","(5,3,3,1,1)",16016,155,"exact",155,155],[4,13,"p","(5,3,3,2)",11583,53,"exact",53,53],[4,13,"p","(5,4,1,1,1,1)",9009,210,"lower bound",210,211],[4,13,"p","(5,4,2,1,1)",21450,193,"exact",193,193],[4,13,"p","(5,4,2,2)",12870,52,"exact",52,52],[4,13,"p","(5,4,3,1)",15015,38,"exact",38,38],[4,13,"p","(5,4,4)",2574,0,"exact",0,0],[4,13,"p","(5,5,1,1,1)",5005,35,"lower bound",35,36],[4,13,"p","(5,5,2,1)",8580,21,"exact",21,21],[4,13,"p","(5,5,3)",3432,3,"exact",3,3],[4,13,"p","(6,1,1,1,1,1,1,1)",792,84,"exact",84,84],[4,13,"p","(6,2,1,1,1,1,1)",4290,237,"lower bound",237,238],[4,13,"p","(6,2,2,1,1,1)",9360,247,"lower bound",247,248],[4,13,"p","(6,2,2,2,1)",9009,119,"exact",119,119],[4,13,"p","(6,3,1,1,1,1)",9360,206,"lower bound",206,208],[4,13,"p","(6,3,2,1,1)",20592,178,"exact",178,178],[4,13,"p","(6,3,2,2)",12012,51,"exact",51,51],[4,13,"p","(6,3,3,1)",11440,29,"exact",29,29],[4,13,"p","(6,4,1,1,1)",10296,64,"exact",64,64],[4,13,"p","(6,4,2,1)",17160,34,"exact",34,34],[4,13,"p","(6,4,3)",6435,3,"exact",3,3],[4,13,"p","(6,5,1,1)",5720,7,"exact",7,7],[4,13,"p","(6,5,2)",5148,2,"exact",2,2],[4,13,"p","(6,6,1)",1287,0,"exact",0,0],[4,13,"p","(7,1,1,1,1,1,1)",924,45,"exact",45,45],[4,13,"p","(7,2,1,1,1,1)",4290,82,"lower bound",82,84],[4,13,"p","(7,2,2,1,1)",7371,57,"lower bound",57,59],[4,13,"p","(7,2,2,2)",4004,15,"exact",15,15],[4,13,"p","(7,3,1,1,1)",7800,38,"lower bound",38,40],[4,13,"p","(7,3,2,1)",12012,18,"exact",18,18],[4,13,"p","(7,3,3)",3575,1,"exact",1,1],[4,13,"p","(7,4,1,1)",6864,4,"exact",4,4],[4,13,"p","(7,4,2)",6006,0,"exact",0,0],[4,13,"p","(7,5,1)",2860,0,"exact",0,0],[4,13,"p","(7,6)",429,0,"exact",0,0],[4,13,"p","(8,1,1,1,1,1)",792,9,"exact",9,9],[4,13,"p","(8,2,1,1,1)",3003,11,"exact",11,11],[4,13,"p","(8,2,2,1)",3640,4,"exact",4,4],[4,13,"p","(8,3,1,1)",4212,2,"exact",2,2],[4,13,"p","(8,3,2)",3432,0,"exact",0,0],[4,13,"p","(8,4,1)",2574,0,"exact",0,0],[4,13,"p","(8,5)",572,0,"exact",0,0],[4,13,"p","(9,1,1,1,1)",495,0,"exact",0,0],[4,13,"p","(9,2,1,1)",1430,0,"exact",0,0],[4,13,"p","(9,2,2)",936,0,"exact",0,0],[4,13,"p","(9,3,1)",1365,0,"exact",0,0],[4,13,"p","(9,4)",429,0,"exact",0,0],[4,13,"p","(10,1,1,1)",220,0,"exact",0,0],[4,13,"p","(10,2,1)",429,0,"exact",0,0],[4,13,"p","(10,3)",208,0,"exact",0,0],[4,13,"p","(11,1,1)",66,0,"exact",0,0],[4,13,"p","(11,2)",65,0,"exact",0,0],[4,13,"p","(12,1)",12,0,"exact",0,0],[4,13,"p","(13)",1,0,"exact",0,0],[4,14,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,6,"exact",6,6],[4,14,"p","(2,2,1,1,1,1,1,1,1,1,1,1)",77,32,"exact",32,32],[4,14,"p","(2,2,2,1,1,1,1,1,1,1,1)",273,94,"exact",94,94],[4,14,"p","(2,2,2,2,1,1,1,1,1,1)",637,182,"lower bound",182,183],[4,14,"p","(2,2,2,2,2,1,1,1,1)",1001,230,"lower bound",230,232],[4,14,"p","(2,2,2,2,2,2,1,1)",1001,185,"lower bound",185,189],[4,14,"p","(2,2,2,2,2,2,2)",429,68,"lower bound",68,74],[4,14,"p","(3,1,1,1,1,1,1,1,1,1,1,1)",78,32,"exact",32,32],[4,14,"p","(3,2,1,1,1,1,1,1,1,1,1)",560,191,"lower bound",191,193],[4,14,"p","(3,2,2,1,1,1,1,1,1,1)",2002,556,"lower bound",556,567],[4,14,"p","(3,2,2,2,1,1,1,1,1)",4368,945,"lower bound",945,1874],[4,14,"p","(3,2,2,2,2,1,1,1)",6006,995,"lower bound",995,2546],[4,14,"p","(3,2,2,2,2,2,1)",4576,592,"lower bound",592,665],[4,14,"p","(3,3,1,1,1,1,1,1,1,1)",1365,370,"lower bound",370,384],[4,14,"p","(3,3,2,1,1,1,1,1,1)",5733,1184,"lower bound",1184,2426],[4,14,"p","(3,3,2,2,1,1,1,1)",12012,1798,"lower bound",1798,5006],[4,14,"p","(3,3,2,2,2,1,1)",14014,1504,"lower bound",1504,1790],[4,14,"p","(3,3,2,2,2,2)",6435,531,"lower bound",531,714],[4,14,"p","(3,3,3,1,1,1,1,1)",7007,1002,"lower bound",1002,2896],[4,14,"p","(3,3,3,2,1,1,1)",16016,1470,"lower bound",1470,1891],[4,14,"p","(3,3,3,2,2,1)",15015,949,"lower bound",949,1437],[4,14,"p","(3,3,3,3,1,1)",9009,475,"lower bound",475,796],[4,14,"p","(3,3,3,3,2)",6006,219,"lower bound",219,463],[4,14,"p","(4,1,1,1,1,1,1,1,1,1,1)",286,95,"exact",95,95],[4,14,"p","(4,2,1,1,1,1,1,1,1,1)",2079,557,"lower bound",557,569],[4,14,"p","(4,2,2,1,1,1,1,1,1)",7007,1428,"lower bound",1428,2921],[4,14,"p","(4,2,2,2,1,1,1,1)",13650,2033,"lower bound",2033,5605],[4,14,"p","(4,2,2,2,2,1,1)",15444,1659,"lower bound",1659,1859],[4,14,"p","(4,2,2,2,2,2)",7007,593,"lower bound",593,725],[4,14,"p","(4,3,1,1,1,1,1,1,1)",6006,1188,"lower bound",1188,2480],[4,14,"p","(4,3,2,1,1,1,1,1)",23296,931,"lower bound",931,9440],[4,14,"p","(4,3,2,2,1,1,1)",42042,789,"lower bound",789,16814],[4,14,"p","(4,3,2,2,2,1)",36608,838,"lower bound",838,14528],[4,14,"p","(4,3,3,1,1,1,1)",27027,1281,"lower bound",1281,10722],[4,14,"p","(4,3,3,2,1,1)",50050,313,"lower bound",313,19640],[4,14,"p","(4,3,3,2,2)",27027,973,"lower bound",973,10548],[4,14,"p","(4,3,3,3,1)",21021,600,"lower bound",600,8148],[4,14,"p","(4,4,1,1,1,1,1,1)",7644,1006,"lower bound",1006,3050],[4,14,"p","(4,4,2,1,1,1,1)",28028,1225,"lower bound",1225,10997],[4,14,"p","(4,4,2,2,1,1)",42042,778,"lower bound",778,16317],[4,14,"p","(4,4,2,2,2)",21450,766,"lower bound",766,8280],[4,14,"p","(4,4,3,1,1,1)",35035,1170,"lower bound",1170,13486],[4,14,"p","(4,4,3,2,1)",48048,1025,"lower bound",1025,18336],[4,14,"p","(4,4,3,3)",12012,166,"lower bound",166,323],[4,14,"p","(4,4,4,1,1)",15015,310,"lower bound",310,478],[4,14,"p","(4,4,4,2)",12012,146,"lower bound",146,273],[4,14,"p","(5,1,1,1,1,1,1,1,1,1)",715,185,"lower bound",185,186],[4,14,"p","(5,2,1,1,1,1,1,1,1)",4928,953,"lower bound",953,1984],[4,14,"p","(5,2,2,1,1,1,1,1)",15015,1158,"lower bound",1158,5935],[4,14,"p","(5,2,2,2,1,1,1)",24960,1300,"lower bound",1300,9740],[4,14,"p","(5,2,2,2,2,1)",21021,1347,"lower bound",1347,8141],[4,14,"p","(5,3,1,1,1,1,1,1)",14014,1237,"lower bound",1237,5490],[4,14,"p","(5,3,2,1,1,1,1)",47775,733,"lower bound",733,18410],[4,14,"p","(5,3,2,2,1,1)",69498,435,"lower bound",435,26496],[4,14,"p","(5,3,2,2,2)",35035,1265,"lower bound",1265,13286],[4,14,"p","(5,3,3,1,1,1)",48048,407,"lower bound",407,18170],[4,14,"p","(5,3,3,2,1)",64064,616,"lower bound",616,24020],[4,14,"p","(5,3,3,3)",15015,229,"lower bound",229,343],[4,14,"p","(5,4,1,1,1,1,1)",20384,1384,"lower bound",1384,7742],[4,14,"p","(5,4,2,1,1,1)",63063,292,"lower bound",292,23596],[4,14,"p","(5,4,2,2,1)",68640,549,"lower bound",549,25454],[4,14,"p","(5,4,3,1,1)",64064,803,"lower bound",803,23552],[4,14,"p","(5,4,3,2)",48048,594,"lower bound",594,17550],[4,14,"p","(5,4,4,1)",21021,169,"lower bound",169,7566],[4,14,"p","(5,5,1,1,1,1)",14014,510,"lower bound",510,559],[4,14,"p","(5,5,2,1,1)",35035,653,"lower bound",653,12631],[4,14,"p","(5,5,2,2)",21450,238,"lower bound",238,7680],[4,14,"p","(5,5,3,1)",27027,224,"lower bound",224,9585],[4,14,"p","(5,5,4)",6006,19,"lower bound",19,29],[4,14,"p","(6,1,1,1,1,1,1,1,1)",1287,237,"lower bound",237,239],[4,14,"p","(6,2,1,1,1,1,1,1)",8085,1011,"lower bound",1011,3050],[4,14,"p","(6,2,2,1,1,1,1)",21450,1419,"lower bound",1419,7965],[4,14,"p","(6,2,2,2,1,1)",28665,1174,"lower bound",1174,10535],[4,14,"p","(6,2,2,2,2)",14014,503,"lower bound",503,558],[4,14,"p","(6,3,1,1,1,1,1)",21021,1264,"lower bound",1264,7742],[4,14,"p","(6,3,2,1,1,1)",59904,251,"lower bound",251,21736],[4,14,"p","(6,3,2,2,1)",63063,610,"lower bound",610,22674],[4,14,"p","(6,3,3,1,1)",48048,842,"lower bound",842,17124],[4,14,"p","(6,3,3,2)",35035,427,"lower bound",427,12400],[4,14,"p","(6,4,1,1,1,1)",28665,939,"lower bound",939,10234],[4,14,"p","(6,4,2,1,1)",69498,553,"lower bound",553,24462],[4,14,"p","(6,4,2,2)",42042,460,"lower bound",460,14692],[4,14,"p","(6,4,3,1)",50050,381,"lower bound",381,17320],[4,14,"p","(6,4,4)",9009,25,"lower bound",25,31],[4,14,"p","(6,5,1,1,1)",21021,287,"lower bound",287,7194],[4,14,"p","(6,5,2,1)",36608,238,"lower bound",238,12368],[4,14,"p","(6,5,3)",15015,42,"lower bound",42,50],[4,14,"p","(6,6,1,1)",7007,26,"lower bound",26,34],[4,14,"p","(6,6,2)",6435,14,"lower bound",14,17],[4,14,"p","(7,1,1,1,1,1,1,1)",1716,200,"lower bound",200,202],[4,14,"p","(7,2,1,1,1,1,1)",9504,649,"lower bound",649,678],[4,14,"p","(7,2,2,1,1,1)",21021,798,"lower bound",798,7224],[4,14,"p","(7,2,2,2,1)",20384,469,"lower bound",469,6930],[4,14,"p","(7,3,1,1,1,1)",21450,695,"lower bound",695,7280],[4,14,"p","(7,3,2,1,1)",47775,698,"lower bound",698,15960],[4,14,"p","(7,3,2,2)",28028,277,"lower bound",277,9286],[4,14,"p","(7,3,3,1)",27027,184,"lower bound",184,8856],[4,14,"p","(7,4,1,1,1)",24960,303,"lower bound",303,8148],[4,14,"p","(7,4,2,1)",42042,227,"lower bound",227,13530],[4,14,"p","(7,4,3)",16016,32,"lower bound",32,45],[4,14,"p","(7,5,1,1)",15444,52,"lower bound",52,65],[4,14,"p","(7,5,2)",14014,19,"lower bound",19,25],[4,14,"p","(7,6,1)",4576,2,"lower bound",2,5],[4,14,"p","(7,7)",429,1,"exact",1,1],[4,14,"p","(8,1,1,1,1,1,1)",1716,101,"lower bound",101,102],[4,14,"p","(8,2,1,1,1,1)",8085,232,"lower bound",232,251],[4,14,"p","(8,2,2,1,1)",14014,200,"lower bound",200,240],[4,14,"p","(8,2,2,2)",7644,69,"lower bound",69,88],[4,14,"p","(8,3,1,1,1)",15015,154,"lower bound",154,195],[4,14,"p","(8,3,2,1)",23296,105,"lower bound",105,6776],[4,14,"p","(8,3,3)",7007,10,"lower bound",10,21],[4,14,"p","(8,4,1,1)",13650,29,"lower bound",29,54],[4,14,"p","(8,4,2)",12012,10,"lower bound",10,520],[4,14,"p","(8,5,1)",6006,1,"lower bound",1,8],[4,14,"p","(8,6)",1001,1,"exact",1,1],[4,14,"p","(9,1,1,1,1,1)",1287,23,"exact",23,23],[4,14,"p","(9,2,1,1,1)",4928,43,"exact",43,43],[4,14,"p","(9,2,2,1)",6006,24,"lower bound",24,41],[4,14,"p","(9,3,1,1)",7007,14,"lower bound",14,32],[4,14,"p","(9,3,2)",5733,4,"lower bound",4,21],[4,14,"p","(9,4,1)",4368,8,"exact",8,8],[4,14,"p","(9,5)",1001,2,"exact",2,2],[4,14,"p","(10,1,1,1,1)",715,1,"exact",1,1],[4,14,"p","(10,2,1,1)",2079,3,"exact",3,3],[4,14,"p","(10,2,2)",1365,2,"exact",2,2],[4,14,"p","(10,3,1)",2002,3,"exact",3,3],[4,14,"p","(10,4)",637,1,"exact",1,1],[4,14,"p","(11,1,1,1)",286,0,"exact",0,0],[4,14,"p","(11,2,1)",560,0,"exact",0,0],[4,14,"p","(11,3)",273,0,"exact",0,0],[4,14,"p","(12,1,1)",78,0,"exact",0,0],[4,14,"p","(12,2)",77,0,"exact",0,0],[4,14,"p","(13,1)",13,0,"exact",0,0],[4,14,"p","(14)",1,0,"exact",0,0],[4,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,7,"exact",7,7],[4,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,40,"exact",40,40],[4,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,140,"exact",140,140],[4,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,323,"lower bound",323,326],[4,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,510,"lower bound",510,522],[4,15,"p","(2,2,2,2,2,2,1,1,1)",2002,545,"lower bound",545,581],[4,15,"p","(2,2,2,2,2,2,2,1)",1430,347,"lower bound",347,397],[4,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,40,"exact",40,40],[4,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,282,"lower bound",282,284],[4,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,985,"lower bound",985,1008],[4,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,659,"lower bound",659,685],[4,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,141,"exact",141,141],[4,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,991,"lower bound",991,1017],[4,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,329,"lower bound",329,334],[4,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,531,"lower bound",531,547],[4,15,"p","(9,1,1,1,1,1,1)",3003,223,"lower bound",223,245],[4,15,"p","(12,1,1,1)",364,0,"exact",0,0],[4,15,"p","(12,2,1)",715,0,"exact",0,0],[4,15,"p","(12,3)",350,0,"exact",0,0],[4,15,"p","(13,1,1)",91,0,"exact",0,0],[4,15,"p","(13,2)",90,0,"exact",0,0],[4,15,"p","(14,1)",14,0,"exact",0,0],[4,15,"p","(15)",1,0,"exact",0,0],[4,15,"p","(10,1,1,1,1,1)",2002,54,"lower bound",54,55],[4,15,"p","(10,2,1,1,1)",7722,128,"lower bound",128,184],[4,15,"p","(10,2,2,1)",9450,98,"lower bound",98,183],[4,15,"p","(10,3,1,1)",11088,81,"lower bound",81,180],[4,15,"p","(10,3,2)",9100,44,"lower bound",44,134],[4,15,"p","(10,4,1)",7007,25,"lower bound",25,84],[4,15,"p","(10,5)",1638,10,"lower bound",10,14],[4,15,"p","(11,1,1,1,1)",1001,4,"exact",4,4],[4,15,"p","(11,2,1,1)",2925,12,"lower bound",12,63],[4,15,"p","(11,2,2)",1925,8,"exact",8,8],[4,15,"p","(11,3,1)",2835,12,"lower bound",12,57],[4,15,"p","(11,4)",910,4,"exact",4,4],[4,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,1031,"lower bound",1031,3032],[4,15,"p","(3,2,2,2,2,1,1,1,1)",11375,237,"lower bound",237,4860],[4,15,"p","(3,2,2,2,2,2,1,1)",11583,72,"lower bound",72,4908],[4,15,"p","(3,2,2,2,2,2,2)",5005,958,"lower bound",958,1281],[4,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,390,"lower bound",390,3890],[4,15,"p","(3,3,2,2,1,1,1,1,1)",22113,400,"lower bound",400,9306],[4,15,"p","(3,3,2,2,2,1,1,1)",32032,210,"lower bound",210,13334],[4,15,"p","(3,3,2,2,2,2,1)",25025,746,"lower bound",746,10350],[4,15,"p","(3,3,3,1,1,1,1,1,1)",12740,208,"lower bound",208,5322],[4,15,"p","(3,3,3,2,1,1,1,1)",35035,210,"lower bound",210,14434],[4,15,"p","(3,3,3,2,2,1,1)",45045,701,"lower bound",701,18390],[4,15,"p","(3,3,3,2,2,2)",21450,635,"lower bound",635,8718],[4,15,"p","(3,3,3,3,1,1,1)",25025,214,"lower bound",214,10152],[4,15,"p","(3,3,3,3,2,1)",30030,6,"lower bound",6,12096],[4,15,"p","(3,3,3,3,3)",6006,287,"lower bound",287,1276],[4,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,391,"lower bound",391,4680],[4,15,"p","(4,2,2,2,1,1,1,1,1)",25025,376,"lower bound",376,10400],[4,15,"p","(4,2,2,2,2,1,1,1)",35100,241,"lower bound",241,14430],[4,15,"p","(4,2,2,2,2,2,1)",27027,926,"lower bound",926,11040],[4,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,341,"lower bound",341,3955],[4,15,"p","(4,3,2,1,1,1,1,1,1)",42042,17267,"upper bound",0,17267],[4,15,"p","(4,3,2,2,1,1,1,1)",91000,36865,"upper bound",0,36865],[4,15,"p","(4,3,2,2,2,1,1)",108108,43403,"upper bound",0,43403],[4,15,"p","(4,3,2,2,2,2)",50050,20005,"upper bound",0,20005],[4,15,"p","(4,3,3,1,1,1,1,1)",57330,23058,"upper bound",0,23058],[4,15,"p","(4,3,3,2,1,1,1)",135135,53708,"upper bound",0,53708],[4,15,"p","(4,3,3,2,2,1)",128700,50792,"upper bound",0,50792],[4,15,"p","(4,3,3,3,1,1)",80080,31408,"upper bound",0,31408],[4,15,"p","(4,3,3,3,2)",54054,21096,"upper bound",0,21096],[4,15,"p","(4,4,1,1,1,1,1,1,1)",13650,159,"lower bound",159,5530],[4,15,"p","(4,4,2,1,1,1,1,1)",58968,23487,"upper bound",0,23487],[4,15,"p","(4,4,2,2,1,1,1)",112112,44128,"upper bound",0,44128],[4,15,"p","(4,4,2,2,2,1)",100100,39125,"upper bound",0,39125],[4,15,"p","(4,4,3,1,1,1,1)",90090,35208,"upper bound",0,35208],[4,15,"p","(4,4,3,2,1,1)",175175,67788,"upper bound",0,67788],[4,15,"p","(4,4,3,2,2)",96525,37170,"upper bound",0,37170],[4,15,"p","(4,4,3,3,1)",81081,31032,"upper bound",0,31032],[4,15,"p","(4,4,4,1,1,1)",50050,19147,"upper bound",0,19147],[4,15,"p","(4,4,4,2,1)",75075,28500,"upper bound",0,28500],[4,15,"p","(4,4,4,3)",24024,568,"lower bound",568,9042],[4,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,682,"lower bound",682,3164],[4,15,"p","(5,2,2,1,1,1,1,1,1)",26950,284,"lower bound",284,10840],[4,15,"p","(5,2,2,2,1,1,1,1)",53625,21280,"upper bound",0,21280],[4,15,"p","(5,2,2,2,2,1,1)",61425,24160,"upper bound",0,24160],[4,15,"p","(5,2,2,2,2,2)",28028,10976,"upper bound",0,10976],[4,15,"p","(5,3,1,1,1,1,1,1,1)",24948,256,"lower bound",256,9954],[4,15,"p","(5,3,2,1,1,1,1,1)",100100,39275,"upper bound",0,39275],[4,15,"p","(5,3,2,2,1,1,1)",184275,71460,"upper bound",0,71460],[4,15,"p","(5,3,2,2,2,1)",162162,62451,"upper bound",0,62451],[4,15,"p","(5,3,3,1,1,1,1)",122850,47308,"upper bound",0,47308],[4,15,"p","(5,3,3,2,1,1)",231660,88344,"upper bound",0,88344],[4,15,"p","(5,3,3,2,2)",126126,47866,"upper bound",0,47866],[4,15,"p","(5,3,3,3,1)",100100,37760,"upper bound",0,37760],[4,15,"p","(5,4,1,1,1,1,1,1)",42042,16282,"upper bound",0,16282],[4,15,"p","(5,4,2,1,1,1,1)",159250,60760,"upper bound",0,60760],[4,15,"p","(5,4,2,2,1,1)",243243,91908,"upper bound",0,91908],[4,15,"p","(5,4,2,2,2)",125125,47050,"upper bound",0,47050],[4,15,"p","(5,4,3,1,1,1)",210210,78876,"upper bound",0,78876],[4,15,"p","(5,4,3,2,1)",292864,109056,"upper bound",0,109056],[4,15,"p","(5,4,3,3)",75075,27720,"upper bound",0,27720],[4,15,"p","(5,4,4,1,1)",100100,36860,"upper bound",0,36860],[4,15,"p","(5,4,4,2)",81081,29700,"upper bound",0,29700],[4,15,"p","(5,5,1,1,1,1,1)",34398,12880,"upper bound",0,12880],[4,15,"p","(5,5,2,1,1,1)",112112,41440,"upper bound",0,41440],[4,15,"p","(5,5,2,2,1)",125125,45900,"upper bound",0,45900],[4,15,"p","(5,5,3,1,1)",126126,45948,"upper bound",0,45948],[4,15,"p","(5,5,3,2)",96525,34980,"upper bound",0,34980],[4,15,"p","(5,5,4,1)",54054,19371,"upper bound",0,19371],[4,15,"p","(5,5,5)",6006,59,"lower bound",59,365],[4,15,"p","(6,2,1,1,1,1,1,1,1)",14300,135,"lower bound",135,5530],[4,15,"p","(6,2,2,1,1,1,1,1)",44550,16950,"upper bound",0,16950],[4,15,"p","(6,2,2,2,1,1,1)",75075,28240,"upper bound",0,28240],[4,15,"p","(6,2,2,2,2,1)",63700,23800,"upper bound",0,23800],[4,15,"p","(6,3,1,1,1,1,1,1)",43120,16282,"upper bound",0,16282],[4,15,"p","(6,3,2,1,1,1,1)",150150,55877,"upper bound",0,55877],[4,15,"p","(6,3,2,2,1,1)",221130,81513,"upper bound",0,81513],[4,15,"p","(6,3,2,2,2)",112112,41132,"upper bound",0,41132],[4,15,"p","(6,3,3,1,1,1)",156000,57120,"upper bound",0,57120],[4,15,"p","(6,3,3,2,1)",210210,76398,"upper bound",0,76398],[4,15,"p","(6,3,3,3)",50050,18040,"upper bound",0,18040],[4,15,"p","(6,4,1,1,1,1,1)",70070,25760,"upper bound",0,25760],[4,15,"p","(6,4,2,1,1,1)",221130,80271,"upper bound",0,80271],[4,15,"p","(6,4,2,2,1)",243243,87642,"upper bound",0,87642],[4,15,"p","(6,4,3,1,1)",231660,82908,"upper bound",0,82908],[4,15,"p","(6,4,3,2)",175175,62370,"upper bound",0,62370],[4,15,"p","(6,4,4,1)",80080,28204,"upper bound",0,28204],[4,15,"p","(6,5,1,1,1,1)",63700,22722,"upper bound",0,22722],[4,15,"p","(6,5,2,1,1)",162162,57231,"upper bound",0,57231],[4,15,"p","(6,5,2,2)",100100,35145,"upper bound",0,35145],[4,15,"p","(6,5,3,1)",128700,44880,"upper bound",0,44880],[4,15,"p","(6,5,4)",30030,286,"lower bound",286,10329],[4,15,"p","(6,6,1,1,1)",28028,9660,"upper bound",0,9660],[4,15,"p","(6,6,2,1)",50050,17105,"upper bound",0,17105],[4,15,"p","(6,6,3)",21450,184,"lower bound",184,7260],[4,15,"p","(7,1,1,1,1,1,1,1,1)",3003,594,"lower bound",594,1106],[4,15,"p","(7,2,1,1,1,1,1,1)",19305,70,"lower bound",70,6978],[4,15,"p","(7,2,2,1,1,1,1)",51975,18528,"upper bound",0,18528],[4,15,"p","(7,2,2,2,1,1)",70070,24752,"upper bound",0,24752],[4,15,"p","(7,2,2,2,2)",34398,12096,"upper bound",0,12096],[4,15,"p","(7,3,1,1,1,1,1)",51975,18400,"upper bound",0,18400],[4,15,"p","(7,3,2,1,1,1)",150150,52515,"upper bound",0,52515],[4,15,"p","(7,3,2,2,1)",159250,55300,"upper bound",0,55300],[4,15,"p","(7,3,3,1,1)",122850,42390,"upper bound",0,42390],[4,15,"p","(7,3,3,2)",90090,30932,"upper bound",0,30932],[4,15,"p","(7,4,1,1,1,1)",75075,25968,"upper bound",0,25968],[4,15,"p","(7,4,2,1,1)",184275,63090,"upper bound",0,63090],[4,15,"p","(7,4,2,2)",112112,38192,"upper bound",0,38192],[4,15,"p","(7,4,3,1)",135135,45738,"upper bound",0,45738],[4,15,"p","(7,4,4)",25025,198,"lower bound",198,8360],[4,15,"p","(7,5,1,1,1)",61425,20700,"upper bound",0,20700],[4,15,"p","(7,5,2,1)",108108,36135,"upper bound",0,36135],[4,15,"p","(7,5,3)",45045,334,"lower bound",334,14916],[4,15,"p","(7,6,1,1)",27027,238,"lower bound",238,8844],[4,15,"p","(7,6,2)",25025,134,"lower bound",134,8140],[4,15,"p","(7,7,1)",5005,14,"lower bound",14,104],[4,15,"p","(8,1,1,1,1,1,1,1)",3432,456,"lower bound",456,1163],[4,15,"p","(8,2,1,1,1,1,1)",19305,965,"lower bound",965,1957],[4,15,"p","(8,2,2,1,1,1)",43120,14224,"upper bound",0,14224],[4,15,"p","(8,2,2,2,1)",42042,13776,"upper bound",0,13776],[4,15,"p","(8,3,1,1,1,1)",44550,14607,"upper bound",0,14607],[4,15,"p","(8,3,2,1,1)",100100,32510,"upper bound",0,32510],[4,15,"p","(8,3,2,2)",58968,19062,"upper bound",0,19062],[4,15,"p","(8,3,3,1)",57330,18424,"upper bound",0,18424],[4,15,"p","(8,4,1,1,1)",53625,17250,"upper bound",0,17250],[4,15,"p","(8,4,2,1)",91000,29050,"upper bound",0,29050],[4,15,"p","(8,4,3)",35035,11088,"upper bound",0,11088],[4,15,"p","(8,5,1,1)",35100,256,"lower bound",256,11055],[4,15,"p","(8,5,2)",32032,10032,"upper bound",0,10032],[4,15,"p","(8,6,1)",11583,23,"lower bound",23,197],[4,15,"p","(8,7)",1430,7,"lower bound",7,14],[4,15,"p","(9,2,1,1,1,1)",14300,608,"lower bound",608,734],[4,15,"p","(9,2,2,1,1)",24948,489,"lower bound",489,7488],[4,15,"p","(9,2,2,2)",13650,237,"lower bound",237,452],[4,15,"p","(9,3,1,1,1)",26950,500,"lower bound",500,8050],[4,15,"p","(9,3,2,1)",42042,12474,"upper bound",0,12474],[4,15,"p","(9,3,3)",12740,57,"lower bound",57,273],[4,15,"p","(9,4,1,1)",25025,155,"lower bound",155,7370],[4,15,"p","(9,4,2)",22113,6480,"upper bound",0,6480],[4,15,"p","(9,5,1)",11375,20,"lower bound",20,164],[4,15,"p","(9,6)",2002,11,"lower 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,3)",462,0,"exact",0,0],[4,11,"s","(4,4,2,1)",1320,0,"exact",0,0],[4,11,"s","(4,4,1,1,1)",825,1,"exact",1,1],[4,11,"s","(4,3,3,1)",1188,0,"exact",0,0],[4,11,"s","(4,3,2,2)",1320,0,"exact",0,0],[4,11,"s","(4,3,2,1,1)",2310,2,"exact",2,2],[4,11,"s","(4,3,1,1,1,1)",1100,11,"exact",11,11],[4,11,"s","(4,2,2,2,1)",1155,3,"exact",3,3],[4,11,"s","(4,2,2,1,1,1)",1232,18,"exact",18,18],[4,11,"s","(4,2,1,1,1,1,1)",594,37,"exact",37,37],[4,11,"s","(4,1,1,1,1,1,1,1)",120,25,"exact",25,25],[4,11,"s","(3,3,3,2)",462,0,"exact",0,0],[4,11,"s","(3,3,3,1,1)",660,1,"exact",1,1],[4,11,"s","(3,3,2,2,1)",990,1,"exact",1,1],[4,11,"s","(3,3,2,1,1,1)",990,11,"exact",11,11],[4,11,"s","(3,3,1,1,1,1,1)",385,23,"exact",23,23],[4,11,"s","(3,2,2,2,2)",330,0,"exact",0,0],[4,11,"s","(3,2,2,2,1,1)",693,10,"exact",10,10],[4,11,"s","(3,2,2,1,1,1,1)",550,36,"exact",36,36],[4,11,"s","(3,2,1,1,1,1,1,1)",231,46,"exact",46,46],[4,11,"s","(3,1,1,1,1,1,1,1,1)",45,19,"exact",19,19],[4,11,"s","(2,2,2,2,2,1)",132,1,"exact",1,1],[4,11,"s","(2,2,2,2,1,1,1)",165,11,"exact",11,11],[4,11,"s","(2,2,2,1,1,1,1,1)",110,22,"exact",22,22],[4,11,"s","(2,2,1,1,1,1,1,1,1)",44,18,"exact",18,18],[4,11,"s","(2,1,1,1,1,1,1,1,1,1)",10,7,"exact",7,7],[4,11,"s","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"s","(12)",1,0,"exact",0,0],[4,12,"s","(11,1)",11,0,"exact",0,0],[4,12,"s","(10,2)",54,0,"exact",0,0],[4,12,"s","(10,1,1)",55,0,"exact",0,0],[4,12,"s","(9,3)",154,0,"exact",0,0],[4,12,"s","(9,2,1)",320,0,"exact",0,0],[4,12,"s","(9,1,1,1)",165,0,"exact",0,0],[4,12,"s","(8,4)",275,0,"exact",0,0],[4,12,"s","(8,3,1)",891,0,"exact",0,0],[4,12,"s","(8,2,2)",616,0,"exact",0,0],[4,12,"s","(8,2,1,1)",945,0,"exact",0,0],[4,12,"s","(8,1,1,1,1)",330,0,"exact",0,0],[4,12,"s","(7,5)",297,0,"exact",0,0],[4,12,"s","(7,4,1)",1408,0,"exact",0,0],[4,12,"s","(7,3,2)",1925,0,"exact",0,0],[4,12,"s","(7,3,1,1)",2376,0,"exact",0,0],[4,12,"s","(7,2,2,1)",2079,0,"exact",0,0],[4,12,"s","(7,2,1,1,1)",1728,2,"exact",2,2],[4,12,"s","(7,1,1,1,1,1)",462,4,"exact",4,4],[4,12,"s","(6,6)",132,0,"exact",0,0],[4,12,"s","(6,5,1)",1155,0,"exact",0,0],[4,12,"s","(6,4,2)",2673,0,"exact",0,0],[4,12,"s","(6,4,1,1)",3080,0,"exact",0,0],[4,12,"s","(6,3,3)",1650,0,"exact",0,0],[4,12,"s","(6,3,2,1)",5632,2,"exact",2,2],[4,12,"s","(6,3,1,1,1)",3696,9,"exact",9,9],[4,12,"s","(6,2,2,2)",1925,4,"exact",4,4],[4,12,"s","(6,2,2,1,1)",3564,17,"exact",17,17],[4,12,"s","(6,2,1,1,1,1)",2100,39,"exact",39,39],[4,12,"s","(6,1,1,1,1,1,1)",462,32,"exact",32,32],[4,12,"s","(5,5,2)",1320,0,"exact",0,0],[4,12,"s","(5,5,1,1)",1485,1,"exact",1,1],[4,12,"s","(5,4,3)",2112,0,"exact",0,0],[4,12,"s","(5,4,2,1)",5775,3,"exact",3,3],[4,12,"s","(5,4,1,1,1)",3520,12,"exact",12,12],[4,12,"s","(5,3,3,1)",4158,3,"exact",3,3],[4,12,"s","(5,3,2,2)",4455,4,"exact",4,4],[4,12,"s","(5,3,2,1,1)",7700,36,"exact",36,36],[4,12,"s","(5,3,1,1,1,1)",3564,70,"exact",70,70],[4,12,"s","(5,2,2,2,1)",3520,30,"exact",30,30],[4,12,"s","(5,2,2,1,1,1)",3696,95,"exact",95,95],[4,12,"s","(5,2,1,1,1,1,1)",1728,133,"exact",133,133],[4,12,"s","(5,1,1,1,1,1,1,1)",330,67,"exact",67,67],[4,12,"s","(4,4,4)",462,0,"exact",0,0],[4,12,"s","(4,4,3,1)",2970,0,"exact",0,0],[4,12,"s","(4,4,2,2)",2640,3,"exact",3,3],[4,12,"s","(4,4,2,1,1)",4455,19,"exact",19,19],[4,12,"s","(4,4,1,1,1,1)",1925,41,"exact",41,41],[4,12,"s","(4,3,3,2)",2970,3,"exact",3,3],[4,12,"s","(4,3,3,1,1)",4158,19,"exact",19,19],[4,12,"s","(4,3,2,2,1)",5775,36,"exact",36,36],[4,12,"s","(4,3,2,1,1,1)",5632,134,"exact",134,134],[4,12,"s","(4,3,1,1,1,1,1)",2079,160,"exact",160,160],[4,12,"s","(4,2,2,2,2)",1485,17,"exact",17,17],[4,12,"s","(4,2,2,2,1,1)",3080,91,"exact",91,91],[4,12,"s","(4,2,2,1,1,1,1)",2376,198,"exact",198,198],[4,12,"s","(4,2,1,1,1,1,1,1)",945,186,"exact",186,186],[4,12,"s","(4,1,1,1,1,1,1,1,1)",165,62,"exact",62,62],[4,12,"s","(3,3,3,3)",462,1,"exact",1,1],[4,12,"s","(3,3,3,2,1)",2112,12,"exact",12,12],[4,12,"s","(3,3,3,1,1,1)",1650,36,"exact",36,36],[4,12,"s","(3,3,2,2,2)",1320,9,"exact",9,9],[4,12,"s","(3,3,2,2,1,1)",2673,73,"exact",73,73],[4,12,"s","(3,3,2,1,1,1,1)",1925,156,"exact",156,156],[4,12,"s","(3,3,1,1,1,1,1,1)",616,122,"exact",122,122],[4,12,"s","(3,2,2,2,2,1)",1155,36,"exact",36,36],[4,12,"s","(3,2,2,2,1,1,1)",1408,125,"exact",125,125],[4,12,"s","(3,2,2,1,1,1,1,1)",891,178,"exact",178,178],[4,12,"s","(3,2,1,1,1,1,1,1,1)",320,118,"exact",118,118],[4,12,"s","(3,1,1,1,1,1,1,1,1,1)",55,32,"exact",32,32],[4,12,"s","(2,2,2,2,2,2)",132,5,"exact",5,5],[4,12,"s","(2,2,2,2,2,1,1)",297,28,"exact",28,28],[4,12,"s","(2,2,2,2,1,1,1,1)",275,58,"exact",58,58],[4,12,"s","(2,2,2,1,1,1,1,1,1)",154,57,"exact",57,57],[4,12,"s","(2,2,1,1,1,1,1,1,1,1)",54,31,"exact",31,31],[4,12,"s","(2,1,1,1,1,1,1,1,1,1,1)",11,9,"exact",9,9],[4,12,"s","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"s","(13)",1,0,"exact",0,0],[4,13,"s","(12,1)",12,0,"exact",0,0],[4,13,"s","(11,2)",65,0,"exact",0,0],[4,13,"s","(11,1,1)",66,0,"exact",0,0],[4,13,"s","(10,3)",208,0,"exact",0,0],[4,13,"s","(10,2,1)",429,0,"exact",0,0],[4,13,"s","(10,1,1,1)",220,0,"exact",0,0],[4,13,"s","(9,4)",429,0,"exact",0,0],[4,13,"s","(9,3,1)",1365,0,"exact",0,0],[4,13,"s","(9,2,2)",936,0,"exact",0,0],[4,13,"s","(9,2,1,1)",1430,0,"exact",0,0],[4,13,"s","(9,1,1,1,1)",495,0,"exact",0,0],[4,13,"s","(8,5)",572,0,"exact",0,0],[4,13,"s","(8,4,1)",2574,0,"exact",0,0],[4,13,"s","(8,3,2)",3432,0,"exact",0,0],[4,13,"s","(8,3,1,1)",4212,1,"lower bound",1,2],[4,13,"s","(8,2,2,1)",3640,3,"lower bound",3,4],[4,13,"s","(8,2,1,1,1)",3003,11,"lower bound",11,13],[4,13,"s","(8,1,1,1,1,1)",792,13,"exact",13,13],[4,13,"s","(7,6)",429,0,"exact",0,0],[4,13,"s","(7,5,1)",2860,0,"exact",0,0],[4,13,"s","(7,4,2)",6006,0,"exact",0,0],[4,13,"s","(7,4,1,1)",6864,4,"exact",4,4],[4,13,"s","(7,3,3)",3575,1,"exact",1,1],[4,13,"s","(7,3,2,1)",12012,20,"exact",20,20],[4,13,"s","(7,3,1,1,1)",7800,49,"lower bound",49,51],[4,13,"s","(7,2,2,2)",4004,19,"exact",19,19],[4,13,"s","(7,2,2,1,1)",7371,76,"lower bound",76,78],[4,13,"s","(7,2,1,1,1,1)",4290,126,"lower bound",126,128],[4,13,"s","(7,1,1,1,1,1,1)",924,80,"exact",80,80],[4,13,"s","(6,6,1)",1287,0,"exact",0,0],[4,13,"s","(6,5,2)",5148,2,"exact",2,2],[4,13,"s","(6,5,1,1)",5720,8,"exact",8,8],[4,13,"s","(6,4,3)",6435,3,"exact",3,3],[4,13,"s","(6,4,2,1)",17160,39,"exact",39,39],[4,13,"s","(6,4,1,1,1)",10296,84,"exact",84,84],[4,13,"s","(6,3,3,1)",11440,34,"exact",34,34],[4,13,"s","(6,3,2,2)",12012,61,"exact",61,61],[4,13,"s","(6,3,2,1,1)",20592,216,"lower bound",216,238],[4,13,"s","(6,3,1,1,1,1)",9360,313,"lower bound",313,315],[4,13,"s","(6,2,2,2,1)",9009,167,"exact",167,167],[4,13,"s","(6,2,2,1,1,1)",9360,384,"lower bound",384,385],[4,13,"s","(6,2,1,1,1,1,1)",4290,418,"lower bound",418,419],[4,13,"s","(6,1,1,1,1,1,1,1)",792,170,"exact",170,170],[4,13,"s","(5,5,3)",3432,3,"exact",3,3],[4,13,"s","(5,5,2,1)",8580,25,"exact",25,25],[4,13,"s","(5,5,1,1,1)",5005,47,"lower bound",47,48],[4,13,"s","(5,4,4)",2574,0,"exact",0,0],[4,13,"s","(5,4,3,1)",15015,44,"exact",44,44],[4,13,"s","(5,4,2,2)",12870,62,"exact",62,62],[4,13,"s","(5,4,2,1,1)",21450,232,"lower bound",232,259],[4,13,"s","(5,4,1,1,1,1)",9009,320,"lower bound",320,321],[4,13,"s","(5,3,3,2)",11583,63,"exact",63,63],[4,13,"s","(5,3,3,1,1)",16016,196,"lower bound",196,208],[4,13,"s","(5,3,2,2,1)",21450,300,"lower bound",300,373],[4,13,"s","(5,3,2,1,1,1)",20592,575,"lower bound",575,851],[4,13,"s","(5,3,1,1,1,1,1)",7371,700,"lower bound",700,738],[4,13,"s","(5,2,2,2,2)",5005,142,"exact",142,142],[4,13,"s","(5,2,2,2,1,1)",10296,464,"lower bound",464,528],[4,13,"s","(5,2,2,1,1,1,1)",7800,757,"lower bound",757,842],[4,13,"s","(5,2,1,1,1,1,1,1)",3003,644,"lower bound",644,646],[4,13,"s","(5,1,1,1,1,1,1,1,1)",495,184,"exact",184,184],[4,13,"s","(4,4,4,1)",3432,6,"lower bound",6,8],[4,13,"s","(4,4,3,2)",8580,41,"lower bound",41,45],[4,13,"s","(4,4,3,1,1)",11583,146,"lower bound",146,152],[4,13,"s","(4,4,2,2,1)",12870,201,"lower bound",201,218],[4,13,"s","(4,4,2,1,1,1)",12012,441,"lower bound",441,505],[4,13,"s","(4,4,1,1,1,1,1)",4004,404,"lower bound",404,408],[4,13,"s","(4,3,3,3)",3432,23,"lower bound",23,27],[4,13,"s","(4,3,3,2,1)",15015,224,"lower bound",224,266],[4,13,"s","(4,3,3,1,1,1)",11440,426,"lower bound",426,492],[4,13,"s","(4,3,2,2,2)",8580,206,"lower bound",206,224],[4,13,"s","(4,3,2,2,1,1)",17160,564,"lower bound",564,858],[4,13,"s","(4,3,2,1,1,1,1)",12012,846,"lower bound",846,1302],[4,13,"s","(4,3,1,1,1,1,1,1)",3640,781,"lower bound",781,788],[4,13,"s","(4,2,2,2,2,1)",5720,355,"lower bound",355,362],[4,13,"s","(4,2,2,2,1,1,1)",6864,729,"lower bound",729,820],[4,13,"s","(4,2,2,1,1,1,1,1)",4212,906,"lower bound",906,932],[4,13,"s","(4,2,1,1,1,1,1,1,1)",1430,525,"lower bound",525,527],[4,13,"s","(4,1,1,1,1,1,1,1,1,1)",220,120,"exact",120,120],[4,13,"s","(3,3,3,3,1)",2574,47,"lower bound",47,60],[4,13,"s","(3,3,3,2,2)",3432,81,"lower bound",81,93],[4,13,"s","(3,3,3,2,1,1)",6435,310,"lower bound",310,333],[4,13,"s","(3,3,3,1,1,1,1)",3575,388,"lower bound",388,399],[4,13,"s","(3,3,2,2,2,1)",5148,306,"lower bound",306,324],[4,13,"s","(3,3,2,2,1,1,1)",6006,677,"lower bound",677,718],[4,13,"s","(3,3,2,1,1,1,1,1)",3432,759,"lower bound",759,769],[4,13,"s","(3,3,1,1,1,1,1,1,1)",936,344,"lower bound",344,347],[4,13,"s","(3,2,2,2,2,2)",1287,104,"lower bound",104,110],[4,13,"s","(3,2,2,2,2,1,1)",2860,380,"lower bound",380,385],[4,13,"s","(3,2,2,2,1,1,1,1)",2574,598,"lower bound",598,602],[4,13,"s","(3,2,2,1,1,1,1,1,1)",1365,507,"lower bound",507,509],[4,13,"s","(3,2,1,1,1,1,1,1,1,1)",429,232,"lower bound",232,233],[4,13,"s","(3,1,1,1,1,1,1,1,1,1,1)",66,48,"exact",48,48],[4,13,"s","(2,2,2,2,2,2,1)",429,66,"exact",66,66],[4,13,"s","(2,2,2,2,2,1,1,1)",572,144,"exact",144,144],[4,13,"s","(2,2,2,2,1,1,1,1,1)",429,164,"exact",164,164],[4,13,"s","(2,2,2,1,1,1,1,1,1,1)",208,113,"exact",113,113],[4,13,"s","(2,2,1,1,1,1,1,1,1,1,1)",65,47,"exact",47,47],[4,13,"s","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"exact",11,11],[4,13,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"s","(14)",1,0,"exact",0,0],[4,14,"s","(13,1)",13,0,"exact",0,0],[4,14,"s","(12,2)",77,0,"exact",0,0],[4,14,"s","(12,1,1)",78,0,"exact",0,0],[4,14,"s","(11,3)",273,0,"exact",0,0],[4,14,"s","(11,2,1)",560,0,"exact",0,0],[4,14,"s","(11,1,1,1)",286,0,"exact",0,0],[4,14,"s","(10,4)",637,0,"lower bound",0,1],[4,14,"s","(10,3,1)",2002,0,"lower bound",0,3],[4,14,"s","(10,2,2)",1365,0,"lower bound",0,2],[4,14,"s","(10,2,1,1)",2079,0,"lower bound",0,3],[4,14,"s","(10,1,1,1,1)",715,0,"lower bound",0,1],[4,14,"s","(9,5)",1001,0,"lower bound",0,2],[4,14,"s","(9,4,1)",4368,0,"lower bound",0,8],[4,14,"s","(9,3,2)",5733,0,"lower bound",0,548],[4,14,"s","(9,3,1,1)",7007,1,"lower bound",1,1598],[4,14,"s","(9,2,2,1)",6006,3,"lower bound",3,1390],[4,14,"s","(9,2,1,1,1)",4928,11,"lower bound",11,56],[4,14,"s","(9,1,1,1,1,1)",1287,13,"lower bound",13,36],[4,14,"s","(8,6)",1001,0,"lower bound",0,1],[4,14,"s","(8,5,1)",6006,0,"lower bound",0,50],[4,14,"s","(8,4,2)",12012,0,"lower bound",0,520],[4,14,"s","(8,4,1,1)",13650,5,"lower bound",5,3856],[4,14,"s","(8,3,3)",7007,1,"lower bound",1,1989],[4,14,"s","(8,3,2,1)",23296,24,"lower bound",24,6802],[4,14,"s","(8,3,1,1,1)",15015,61,"lower bound",61,4516],[4,14,"s","(8,2,2,2)",7644,22,"lower bound",22,2312],[4,14,"s","(8,2,2,1,1)",14014,90,"lower bound",90,4335],[4,14,"s","(8,2,1,1,1,1)",8085,150,"lower bound",150,2654],[4,14,"s","(8,1,1,1,1,1,1)",1716,93,"lower bound",93,191],[4,14,"s","(7,7)",429,0,"lower bound",0,1],[4,14,"s","(7,6,1)",4576,0,"lower bound",0,5],[4,14,"s","(7,5,2)",14014,2,"lower bound",2,4302],[4,14,"s","(7,5,1,1)",15444,12,"lower bound",12,4806],[4,14,"s","(7,4,3)",16016,4,"lower bound",4,5070],[4,14,"s","(7,4,2,1)",42042,63,"lower bound",63,13591],[4,14,"s","(7,4,1,1,1)",24960,137,"lower bound",137,8278],[4,14,"s","(7,3,3,1)",27027,55,"lower bound",55,8909],[4,14,"s","(7,3,2,2)",28028,100,"lower bound",100,9380],[4,14,"s","(7,3,2,1,1)",47775,361,"lower bound",361,16317],[4,14,"s","(7,3,1,1,1,1)",21450,488,"lower bound",488,7724],[4,14,"s","(7,2,2,2,1)",20384,262,"lower bound",262,7171],[4,14,"s","(7,2,2,1,1,1)",21021,586,"lower bound",586,7754],[4,14,"s","(7,2,1,1,1,1,1)",9504,624,"lower bound",624,3869],[4,14,"s","(7,1,1,1,1,1,1,1)",1716,250,"lower bound",250,825],[4,14,"s","(6,6,2)",6435,2,"lower bound",2,2059],[4,14,"s","(6,6,1,1)",7007,8,"lower bound",8,2271],[4,14,"s","(6,5,3)",15015,8,"lower bound",8,5003],[4,14,"s","(6,5,2,1)",36608,74,"lower bound",74,12438],[4,14,"s","(6,5,1,1,1)",21021,139,"lower bound",139,7321],[4,14,"s","(6,4,4)",9009,3,"lower bound",3,901],[4,14,"s","(6,4,3,1)",50050,120,"lower bound",120,17432],[4,14,"s","(6,4,2,2)",42042,162,"lower bound",162,14845],[4,14,"s","(6,4,2,1,1)",69498,571,"lower bound",571,25021],[4,14,"s","(6,4,1,1,1,1)",28665,717,"lower bound",717,10864],[4,14,"s","(6,3,3,2)",35035,158,"lower bound",158,12545],[4,14,"s","(6,3,3,1,1)",48048,446,"lower bound",446,17549],[4,14,"s","(6,3,2,2,1)",63063,744,"lower bound",744,23415],[4,14,"s","(6,3,2,1,1,1)",59904,1488,"lower bound",1488,23271],[4,14,"s","(6,3,1,1,1,1,1)",21021,1431,"lower bound",1431,8974],[4,14,"s","(6,2,2,2,2)",14014,309,"lower bound",309,5389],[4,14,"s","(6,2,2,2,1,1)",28665,1015,"lower bound",1015,11444],[4,14,"s","(6,2,2,1,1,1,1)",21450,1559,"lower bound",1559,9321],[4,14,"s","(6,2,1,1,1,1,1,1)",8085,1232,"lower bound",1232,4037],[4,14,"s","(6,1,1,1,1,1,1,1,1)",1287,354,"lower bound",354,507],[4,14,"s","(5,5,4)",6006,3,"lower bound",3,550],[4,14,"s","(5,5,3,1)",27027,72,"lower bound",72,9654],[4,14,"s","(5,5,2,2)",21450,87,"lower bound",87,7760],[4,14,"s","(5,5,2,1,1)",35035,304,"lower bound",304,12929],[4,14,"s","(5,5,1,1,1,1)",14014,367,"lower bound",367,5439],[4,14,"s","(5,4,4,1)",21021,50,"lower bound",50,7615],[4,14,"s","(5,4,3,2)",48048,210,"lower bound",210,17748],[4,14,"s","(5,4,3,1,1)",64064,618,"lower bound",618,24137],[4,14,"s","(5,4,2,2,1)",68640,795,"lower bound",795,26257],[4,14,"s","(5,4,2,1,1,1)",63063,1568,"lower bound",1568,25232],[4,14,"s","(5,4,1,1,1,1,1)",20384,1424,"lower bound",1424,8939],[4,14,"s","(5,3,3,3)",15015,86,"lower bound",86,5657],[4,14,"s","(5,3,3,2,1)",64064,783,"lower bound",783,24807],[4,14,"s","(5,3,3,1,1,1)",48048,1197,"lower bound",1197,19457],[4,14,"s","(5,3,2,2,2)",35035,648,"lower bound",648,13915],[4,14,"s","(5,3,2,2,1,1)",69498,1903,"lower bound",1903,28656],[4,14,"s","(5,3,2,1,1,1,1)",47775,2878,"lower bound",2878,21397],[4,14,"s","(5,3,1,1,1,1,1,1)",14014,2125,"lower bound",2125,7170],[4,14,"s","(5,2,2,2,2,1)",21021,961,"lower bound",961,8972],[4,14,"s","(5,2,2,2,1,1,1)",24960,1950,"lower bound",1950,11460],[4,14,"s","(5,2,2,1,1,1,1,1)",15015,2307,"lower bound",2307,7775],[4,14,"s","(5,2,1,1,1,1,1,1,1)",4928,1353,"lower bound",1353,2971],[4,14,"s","(5,1,1,1,1,1,1,1,1,1)",715,304,"lower bound",304,394],[4,14,"s","(4,4,4,2)",12012,47,"lower bound",47,4544],[4,14,"s","(4,4,4,1,1)",15015,152,"lower bound",152,5794],[4,14,"s","(4,4,3,3)",12012,64,"lower bound",64,4604],[4,14,"s","(4,4,3,2,1)",48048,612,"lower bound",612,18929],[4,14,"s","(4,4,3,1,1,1)",35035,1013,"lower bound",1013,14441],[4,14,"s","(4,4,2,2,2)",21450,407,"lower bound",407,8662],[4,14,"s","(4,4,2,2,1,1)",42042,1206,"lower bound",1206,17618],[4,14,"s","(4,4,2,1,1,1,1)",28028,1691,"lower bound",1691,12750],[4,14,"s","(4,4,1,1,1,1,1,1)",7644,1185,"lower bound",1185,3958],[4,14,"s","(4,3,3,3,1)",21021,294,"lower bound",294,8453],[4,14,"s","(4,3,3,2,2)",27027,511,"lower bound",511,11045],[4,14,"s","(4,3,3,2,1,1)",50050,1524,"lower bound",1524,21229],[4,14,"s","(4,3,3,1,1,1,1)",27027,1660,"lower bound",1660,12438],[4,14,"s","(4,3,2,2,2,1)",36608,1431,"lower bound",1431,15952],[4,14,"s","(4,3,2,2,1,1,1)",42042,2816,"lower bound",2816,19679],[4,14,"s","(4,3,2,1,1,1,1,1)",23296,3292,"lower bound",3292,12269],[4,14,"s","(4,3,1,1,1,1,1,1,1)",6006,1650,"lower bound",1650,3663],[4,14,"s","(4,2,2,2,2,2)",7007,459,"lower bound",459,3204],[4,14,"s","(4,2,2,2,2,1,1)",15444,1464,"lower bound",1464,7468],[4,14,"s","(4,2,2,2,1,1,1,1)",13650,2233,"lower bound",2233,7332],[4,14,"s","(4,2,2,1,1,1,1,1,1)",7007,1938,"lower bound",1938,4304],[4,14,"s","(4,2,1,1,1,1,1,1,1,1)",2079,877,"lower bound",877,1472],[4,14,"s","(4,1,1,1,1,1,1,1,1,1,1)",286,168,"lower bound",168,201],[4,14,"s","(3,3,3,3,2)",6006,128,"lower bound",128,2533],[4,14,"s","(3,3,3,3,1,1)",9009,357,"lower bound",357,3938],[4,14,"s","(3,3,3,2,2,1)",15015,697,"lower bound",697,6682],[4,14,"s","(3,3,3,2,1,1,1)",16016,1375,"lower bound",1375,7644],[4,14,"s","(3,3,3,1,1,1,1,1)",7007,1147,"lower bound",1147,3758],[4,14,"s","(3,3,2,2,2,2)",6435,410,"lower bound",410,2982],[4,14,"s","(3,3,2,2,2,1,1)",14014,1363,"lower bound",1363,6862],[4,14,"s","(3,3,2,2,1,1,1,1)",12012,2034,"lower bound",2034,6522],[4,14,"s","(3,3,2,1,1,1,1,1,1)",5733,1610,"lower bound",1610,3555],[4,14,"s","(3,3,1,1,1,1,1,1,1,1)",1365,576,"lower bound",576,971],[4,14,"s","(3,2,2,2,2,2,1)",4576,550,"lower bound",550,2339],[4,14,"s","(3,2,2,2,2,1,1,1)",6006,1122,"lower bound",1122,3352],[4,14,"s","(3,2,2,2,1,1,1,1,1)",4368,1269,"lower bound",1269,2744],[4,14,"s","(3,2,2,1,1,1,1,1,1,1)",2002,852,"lower bound",852,1430],[4,14,"s","(3,2,1,1,1,1,1,1,1,1,1)",560,327,"lower bound",327,395],[4,14,"s","(3,1,1,1,1,1,1,1,1,1,1,1)",78,59,"lower bound",59,66],[4,14,"s","(2,2,2,2,2,2,2)",429,66,"lower bound",66,120],[4,14,"s","(2,2,2,2,2,2,1,1)",1001,210,"lower bound",210,333],[4,14,"s","(2,2,2,2,2,1,1,1,1)",1001,308,"lower bound",308,436],[4,14,"s","(2,2,2,2,1,1,1,1,1,1)",637,277,"lower bound",277,358],[4,14,"s","(2,2,2,1,1,1,1,1,1,1,1)",273,160,"lower bound",160,191],[4,14,"s","(2,2,1,1,1,1,1,1,1,1,1,1)",77,58,"lower bound",58,65],[4,14,"s","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,12,"lower bound",12,13],[4,14,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,1,"t","(1)",1,0,"exact",0,0],[4,2,"t","(2)",1,0,"exact",0,0],[4,2,"t","(1,1)",1,0,"exact",0,0],[4,3,"t","(3)",1,0,"exact",0,0],[4,3,"t","(2,1)",2,0,"exact",0,0],[4,3,"t","(1,1,1)",1,0,"exact",0,0],[4,4,"t","(4)",1,0,"exact",0,0],[4,4,"t","(1,1,1,1)",1,0,"exact",0,0],[4,4,"t","(2,2)",2,0,"exact",0,0],[4,4,"t","(2,1,1)",3,0,"exact",0,0],[4,4,"t","(3,1)",3,0,"exact",0,0],[4,5,"t","(5)",1,0,"exact",0,0],[4,5,"t","(1,1,1,1,1)",1,0,"exact",0,0],[4,5,"t","(2,1,1,1)",4,0,"exact",0,0],[4,5,"t","(4,1)",4,0,"exact",0,0],[4,5,"t","(2,2,1)",5,0,"exact",0,0],[4,5,"t","(3,2)",5,0,"exact",0,0],[4,5,"t","(3,1,1)",6,0,"exact",0,0],[4,6,"t","(6)",1,0,"exact",0,0],[4,6,"t","(1,1,1,1,1,1)",1,0,"exact",0,0],[4,6,"t","(2,1,1,1,1)",5,0,"exact",0,0],[4,6,"t","(2,2,2)",5,0,"exact",0,0],[4,6,"t","(3,3)",5,0,"exact",0,0],[4,6,"t","(5,1)",5,0,"exact",0,0],[4,6,"t","(2,2,1,1)",9,0,"exact",0,0],[4,6,"t","(4,2)",9,0,"exact",0,0],[4,6,"t","(3,1,1,1)",10,0,"exact",0,0],[4,6,"t","(4,1,1)",10,0,"exact",0,0],[4,6,"t","(3,2,1)",16,0,"exact",0,0],[4,7,"t","(7)",1,0,"exact",0,0],[4,7,"t","(1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,7,"t","(2,1,1,1,1,1)",6,0,"exact",0,0],[4,7,"t","(6,1)",6,0,"exact",0,0],[4,7,"t","(2,2,1,1,1)",14,0,"exact",0,0],[4,7,"t","(2,2,2,1)",14,0,"exact",0,0],[4,7,"t","(4,3)",14,0,"exact",0,0],[4,7,"t","(5,2)",14,0,"exact",0,0],[4,7,"t","(3,1,1,1,1)",15,0,"exact",0,0],[4,7,"t","(5,1,1)",15,0,"exact",0,0],[4,7,"t","(4,1,1,1)",20,0,"exact",0,0],[4,7,"t","(3,2,2)",21,0,"exact",0,0],[4,7,"t","(3,3,1)",21,0,"exact",0,0],[4,7,"t","(3,2,1,1)",35,0,"exact",0,0],[4,7,"t","(4,2,1)",35,0,"exact",0,0],[4,8,"t","(8)",1,0,"exact",0,0],[4,8,"t","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,8,"t","(2,1,1,1,1,1,1)",7,0,"exact",0,0],[4,8,"t","(7,1)",7,0,"exact",0,0],[4,8,"t","(2,2,2,2)",14,0,"exact",0,0],[4,8,"t","(4,4)",14,0,"exact",0,0],[4,8,"t","(2,2,1,1,1,1)",20,0,"exact",0,0],[4,8,"t","(6,2)",20,0,"exact",0,0],[4,8,"t","(3,1,1,1,1,1)",21,0,"exact",0,0],[4,8,"t","(6,1,1)",21,0,"exact",0,0],[4,8,"t","(2,2,2,1,1)",28,0,"exact",0,0],[4,8,"t","(5,3)",28,0,"exact",0,0],[4,8,"t","(4,1,1,1,1)",35,0,"exact",0,0],[4,8,"t","(5,1,1,1)",35,0,"exact",0,0],[4,8,"t","(3,3,2)",42,0,"exact",0,0],[4,8,"t","(3,3,1,1)",56,0,"exact",0,0],[4,8,"t","(4,2,2)",56,0,"exact",0,0],[4,8,"t","(3,2,1,1,1)",64,0,"exact",0,0],[4,8,"t","(5,2,1)",64,0,"exact",0,0],[4,8,"t","(3,2,2,1)",70,0,"exact",0,0],[4,8,"t","(4,3,1)",70,0,"exact",0,0],[4,8,"t","(4,2,1,1)",90,0,"exact",0,0],[4,9,"t","(9)",1,0,"exact",0,0],[4,9,"t","(3,1,1,1,1,1,1)",28,1,"exact",1,1],[4,9,"t","(2,2,1,1,1,1,1)",27,1,"exact",1,1],[4,9,"t","(2,1,1,1,1,1,1,1)",8,3,"exact",3,3],[4,9,"t","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,9,"t","(8,1)",8,0,"exact",0,0],[4,9,"t","(7,2)",27,0,"exact",0,0],[4,9,"t","(7,1,1)",28,0,"exact",0,0],[4,9,"t","(2,2,2,2,1)",42,0,"exact",0,0],[4,9,"t","(3,3,3)",42,0,"exact",0,0],[4,9,"t","(5,4)",42,0,"exact",0,0],[4,9,"t","(2,2,2,1,1,1)",48,0,"exact",0,0],[4,9,"t","(6,3)",48,0,"exact",0,0],[4,9,"t","(4,1,1,1,1,1)",56,0,"exact",0,0],[4,9,"t","(6,1,1,1)",56,0,"exact",0,0],[4,9,"t","(5,1,1,1,1)",70,1,"upper bound",0,1],[4,9,"t","(3,2,2,2)",84,0,"exact",0,0],[4,9,"t","(4,4,1)",84,0,"exact",0,0],[4,9,"t","(3,2,1,1,1,1)",105,0,"exact",0,0],[4,9,"t","(6,2,1)",105,0,"exact",0,0],[4,9,"t","(3,3,1,1,1)",120,0,"exact",0,0],[4,9,"t","(5,2,2)",120,0,"exact",0,0],[4,9,"t","(3,2,2,1,1)",162,0,"exact",0,0],[4,9,"t","(5,3,1)",162,0,"exact",0,0],[4,9,"t","(3,3,2,1)",168,0,"exact",0,0],[4,9,"t","(4,3,2)",168,0,"exact",0,0],[4,9,"t","(4,2,1,1,1)",189,0,"exact",0,0],[4,9,"t","(5,2,1,1)",189,0,"exact",0,0],[4,9,"t","(4,2,2,1)",216,0,"exact",0,0],[4,9,"t","(4,3,1,1)",216,0,"exact",0,0],[4,10,"t","(1,1,1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[4,10,"t","(2,1,1,1,1,1,1,1,1)",9,5,"exact",5,5],[4,10,"t","(2,2,1,1,1,1,1,1)",35,8,"exact",8,8],[4,10,"t","(2,2,2,1,1,1,1)",75,4,"exact",4,4],[4,10,"t","(2,2,2,2,1,1)",90,0,"exact",0,0],[4,10,"t","(2,2,2,2,2)",42,1,"upper bound",0,1],[4,10,"t","(3,1,1,1,1,1,1,1)",36,9,"exact",9,9],[4,10,"t","(3,2,1,1,1,1,1)",160,8,"exact",8,8],[4,10,"t","(3,2,2,1,1,1)",315,2,"exact",2,2],[4,10,"t","(3,2,2,2,1)",288,0,"exact",0,0],[4,10,"t","(3,3,1,1,1,1)",225,0,"exact",0,0],[4,10,"t","(3,3,2,1,1)",450,0,"exact",0,0],[4,10,"t","(3,3,2,2)",252,0,"exact",0,0],[4,10,"t","(3,3,3,1)",210,0,"exact",0,0],[4,10,"t","(4,1,1,1,1,1,1)",84,4,"lower bound",4,5],[4,10,"t","(4,2,1,1,1,1)",350,2,"lower bound",2,4],[4,10,"t","(4,2,2,1,1)",567,1,"upper bound",0,1],[4,10,"t","(4,2,2,2)",300,0,"exact",0,0],[4,10,"t","(4,3,1,1,1)",525,0,"exact",0,0],[4,10,"t","(4,3,2,1)",768,0,"exact",0,0],[4,10,"t","(4,3,3)",210,0,"exact",0,0],[4,10,"t","(4,4,1,1)",300,0,"exact",0,0],[4,10,"t","(4,4,2)",252,0,"exact",0,0],[4,10,"t","(5,1,1,1,1,1)",126,3,"upper bound",0,3],[4,10,"t","(5,2,1,1,1)",448,4,"upper bound",0,4],[4,10,"t","(5,2,2,1)",525,1,"upper bound",0,1],[4,10,"t","(5,3,1,1)",567,1,"upper bound",0,1],[4,10,"t","(5,3,2)",450,0,"exact",0,0],[4,10,"t","(5,4,1)",288,0,"exact",0,0],[4,10,"t","(5,5)",42,0,"exact",0,0],[4,10,"t","(6,1,1,1,1)",126,4,"upper bound",0,4],[4,10,"t","(6,2,1,1)",350,2,"upper bound",0,2],[4,10,"t","(6,2,2)",225,0,"exact",0,0],[4,10,"t","(6,3,1)",315,0,"exact",0,0],[4,10,"t","(6,4)",90,0,"exact",0,0],[4,10,"t","(7,1,1,1)",84,1,"upper bound",0,1],[4,10,"t","(7,2,1)",160,2,"upper bound",0,2],[4,10,"t","(7,3)",75,1,"upper bound",0,1],[4,10,"t","(8,1,1)",36,0,"exact",0,0],[4,10,"t","(8,2)",35,0,"exact",0,0],[4,10,"t","(9,1)",9,0,"exact",0,0],[4,10,"t","(10)",1,0,"unchecked",0,0],[4,11,"t","(11)",1,0,"exact",0,0],[4,11,"t","(6,1,1,1,1,1)",252,1,"lower bound",1,20],[4,11,"t","(5,3,1,1,1)",1540,1,"lower bound",1,36],[4,11,"t","(5,2,2,1,1)",1540,3,"lower bound",3,33],[4,11,"t","(5,2,1,1,1,1)",924,10,"lower bound",10,47],[4,11,"t","(5,1,1,1,1,1,1)",210,12,"lower bound",12,23],[4,11,"t","(4,4,1,1,1)",825,1,"lower bound",1,12],[4,11,"t","(4,3,2,1,1)",2310,2,"lower bound",2,20],[4,11,"t","(4,3,1,1,1,1)",1100,11,"lower bound",11,31],[4,11,"t","(4,2,2,2,1)",1155,3,"lower bound",3,13],[4,11,"t","(4,2,2,1,1,1)",1232,18,"lower bound",18,40],[4,11,"t","(4,2,1,1,1,1,1)",594,37,"lower bound",37,53],[4,11,"t","(4,1,1,1,1,1,1,1)",120,25,"lower bound",25,28],[4,11,"t","(3,3,3,1,1)",660,1,"lower bound",1,17],[4,11,"t","(3,3,2,2,1)",990,1,"lower bound",1,5],[4,11,"t","(3,3,2,1,1,1)",990,11,"lower bound",11,24],[4,11,"t","(3,3,1,1,1,1,1)",385,23,"lower bound",23,29],[4,11,"t","(3,2,2,2,1,1)",693,10,"lower bound",10,18],[4,11,"t","(3,2,2,1,1,1,1)",550,36,"lower bound",36,44],[4,11,"t","(3,2,1,1,1,1,1,1)",231,46,"lower bound",46,48],[4,11,"t","(3,1,1,1,1,1,1,1,1)",45,19,"exact",19,19],[4,11,"t","(2,2,2,2,2,1)",132,1,"lower bound",1,8],[4,11,"t","(2,2,2,2,1,1,1)",165,11,"lower bound",11,12],[4,11,"t","(2,2,2,1,1,1,1,1)",110,22,"exact",22,22],[4,11,"t","(2,2,1,1,1,1,1,1,1)",44,18,"exact",18,18],[4,11,"t","(2,1,1,1,1,1,1,1,1,1)",10,7,"exact",7,7],[4,11,"t","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,11,"t","(10,1)",10,0,"exact",0,0],[4,11,"t","(9,2)",44,0,"exact",0,0],[4,11,"t","(9,1,1)",45,0,"exact",0,0],[4,11,"t","(8,3)",110,4,"upper bound",0,4],[4,11,"t","(8,1,1,1)",120,4,"upper bound",0,4],[4,11,"t","(6,5)",132,3,"upper bound",0,3],[4,11,"t","(7,4)",165,5,"upper bound",0,5],[4,11,"t","(7,1,1,1,1)",210,16,"upper bound",0,16],[4,11,"t","(8,2,1)",231,8,"upper bound",0,8],[4,11,"t","(3,2,2,2,2)",330,10,"upper bound",0,10],[4,11,"t","(5,5,1)",330,4,"upper bound",0,4],[4,11,"t","(7,2,2)",385,14,"upper bound",0,14],[4,11,"t","(3,3,3,2)",462,4,"upper bound",0,4],[4,11,"t","(4,4,3)",462,2,"upper bound",0,2],[4,11,"t","(7,3,1)",550,17,"upper bound",0,17],[4,11,"t","(7,2,1,1)",594,25,"upper bound",0,25],[4,11,"t","(5,3,3)",660,4,"upper bound",0,4],[4,11,"t","(6,4,1)",693,16,"upper bound",0,16],[4,11,"t","(5,2,2,2)",825,8,"upper bound",0,8],[4,11,"t","(6,2,1,1,1)",924,41,"upper bound",0,41],[4,11,"t","(5,4,2)",990,4,"upper bound",0,4],[4,11,"t","(6,3,2)",990,20,"upper bound",0,20],[4,11,"t","(6,2,2,1)",1100,30,"upper bound",0,30],[4,11,"t","(5,4,1,1)",1155,13,"upper bound",0,13],[4,11,"t","(4,3,3,1)",1188,5,"upper bound",0,5],[4,11,"t","(6,3,1,1)",1232,32,"upper bound",0,32],[4,11,"t","(4,3,2,2)",1320,4,"upper bound",0,4],[4,11,"t","(4,4,2,1)",1320,6,"upper bound",0,6],[4,11,"t","(5,3,2,1)",2310,262,"upper bound",0,262],[4,12,"t","(12)",1,0,"exact",0,0],[4,12,"t","(7,2,1,1,1)",1728,2,"lower bound",2,238],[4,12,"t","(7,1,1,1,1,1)",462,4,"lower bound",4,84],[4,12,"t","(6,3,2,1)",5632,2,"lower bound",2,684],[4,12,"t","(6,3,1,1,1)",3696,9,"lower bound",9,515],[4,12,"t","(6,2,2,2)",1925,4,"lower bound",4,253],[4,12,"t","(6,2,2,1,1)",3564,17,"lower bound",17,511],[4,12,"t","(6,2,1,1,1,1)",2100,39,"lower bound",39,370],[4,12,"t","(6,1,1,1,1,1,1)",462,32,"lower bound",32,105],[4,12,"t","(5,5,1,1)",1485,1,"lower bound",1,183],[4,12,"t","(5,4,2,1)",5775,3,"lower bound",3,749],[4,12,"t","(5,4,1,1,1)",3520,12,"lower bound",12,507],[4,12,"t","(5,3,3,1)",4158,3,"lower bound",3,559],[4,12,"t","(5,3,2,2)",4455,4,"lower bound",4,627],[4,12,"t","(5,3,2,1,1)",7700,36,"lower bound",36,1157],[4,12,"t","(5,3,1,1,1,1)",3564,70,"lower bound",70,627],[4,12,"t","(5,2,2,2,1)",3520,30,"lower bound",30,567],[4,12,"t","(5,2,2,1,1,1)",3696,95,"lower bound",95,680],[4,12,"t","(5,2,1,1,1,1,1)",1728,133,"lower bound",133,388],[4,12,"t","(5,1,1,1,1,1,1,1)",330,67,"lower bound",67,108],[4,12,"t","(4,4,2,2)",2640,3,"lower bound",3,404],[4,12,"t","(4,4,2,1,1)",4455,19,"lower bound",19,706],[4,12,"t","(4,4,1,1,1,1)",1925,41,"lower bound",41,353],[4,12,"t","(4,3,3,2)",2970,3,"lower bound",3,475],[4,12,"t","(4,3,3,1,1)",4158,19,"lower bound",19,697],[4,12,"t","(4,3,2,2,1)",5775,36,"lower bound",36,1007],[4,12,"t","(4,3,2,1,1,1)",5632,134,"lower bound",134,1074],[4,12,"t","(4,3,1,1,1,1,1)",2079,160,"lower bound",160,468],[4,12,"t","(4,2,2,2,2)",1485,17,"lower bound",17,292],[4,12,"t","(4,2,2,2,1,1)",3080,91,"lower bound",91,625],[4,12,"t","(4,2,2,1,1,1,1)",2376,198,"lower bound",198,551],[4,12,"t","(4,2,1,1,1,1,1,1)",945,186,"lower bound",186,276],[4,12,"t","(4,1,1,1,1,1,1,1,1)",165,62,"lower bound",62,70],[4,12,"t","(3,3,3,3)",462,1,"lower bound",1,88],[4,12,"t","(3,3,3,2,1)",2112,12,"lower bound",12,404],[4,12,"t","(3,3,3,1,1,1)",1650,36,"lower bound",36,352],[4,12,"t","(3,3,2,2,2)",1320,9,"lower bound",9,268],[4,12,"t","(3,3,2,2,1,1)",2673,73,"lower bound",73,580],[4,12,"t","(3,3,2,1,1,1,1)",1925,156,"lower bound",156,462],[4,12,"t","(3,3,1,1,1,1,1,1)",616,122,"lower bound",122,185],[4,12,"t","(3,2,2,2,2,1)",1155,36,"lower bound",36,266],[4,12,"t","(3,2,2,2,1,1,1)",1408,125,"lower bound",125,352],[4,12,"t","(3,2,2,1,1,1,1,1)",891,178,"lower bound",178,261],[4,12,"t","(3,2,1,1,1,1,1,1,1)",320,118,"lower bound",118,127],[4,12,"t","(3,1,1,1,1,1,1,1,1,1)",55,32,"exact",32,32],[4,12,"t","(2,2,2,2,2,2)",132,5,"lower bound",5,37],[4,12,"t","(2,2,2,2,2,1,1)",297,28,"lower bound",28,78],[4,12,"t","(2,2,2,2,1,1,1,1)",275,58,"lower bound",58,83],[4,12,"t","(2,2,2,1,1,1,1,1,1)",154,57,"lower bound",57,60],[4,12,"t","(2,2,1,1,1,1,1,1,1,1)",54,31,"exact",31,31],[4,12,"t","(2,1,1,1,1,1,1,1,1,1,1)",11,9,"exact",9,9],[4,12,"t","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"t","(11,1)",11,0,"exact",0,0],[4,12,"t","(10,2)",54,0,"exact",0,0],[4,12,"t","(10,1,1)",55,0,"exact",0,0],[4,12,"t","(6,6)",132,14,"upper bound",0,14],[4,12,"t","(9,3)",154,10,"upper bound",0,10],[4,12,"t","(9,1,1,1)",165,10,"upper bound",0,10],[4,12,"t","(8,4)",275,23,"upper bound",0,23],[4,12,"t","(7,5)",297,27,"upper bound",0,27],[4,12,"t","(9,2,1)",320,20,"upper bound",0,20],[4,12,"t","(8,1,1,1,1)",330,46,"upper bound",0,46],[4,12,"t","(4,4,4)",462,70,"upper bound",0,70],[4,12,"t","(8,2,2)",616,58,"upper bound",0,58],[4,12,"t","(8,3,1)",891,78,"upper bound",0,78],[4,12,"t","(8,2,1,1)",945,98,"upper bound",0,98],[4,12,"t","(6,5,1)",1155,120,"upper bound",0,120],[4,12,"t","(5,5,2)",1320,149,"upper bound",0,149],[4,12,"t","(7,4,1)",1408,140,"upper bound",0,140],[4,12,"t","(6,3,3)",1650,187,"upper bound",0,187],[4,12,"t","(7,3,2)",1925,196,"upper bound",0,196],[4,12,"t","(7,2,2,1)",2079,242,"upper bound",0,242],[4,12,"t","(5,4,3)",2112,247,"upper bound",0,247],[4,12,"t","(7,3,1,1)",2376,328,"upper bound",0,328],[4,12,"t","(6,4,2)",2673,625,"upper bound",0,625],[4,12,"t","(4,4,3,1)",2970,922,"upper bound",0,922],[4,12,"t","(6,4,1,1)",3080,1032,"upper bound",0,1032],[4,13,"t","(13)",1,0,"exact",0,0],[4,13,"t","(8,3,1,1)",4212,2,"lower bound",2,910],[4,13,"t","(8,2,2,1)",3640,4,"lower bound",4,818],[4,13,"t","(8,2,1,1,1)",3003,13,"lower bound",13,748],[4,13,"t","(8,1,1,1,1,1)",792,13,"lower bound",13,235],[4,13,"t","(7,4,1,1)",6864,4,"lower bound",4,1718],[4,13,"t","(7,3,3)",3575,1,"lower bound",1,874],[4,13,"t","(7,3,2,1)",12012,20,"lower bound",20,3140],[4,13,"t","(7,3,1,1,1)",7800,49,"lower bound",49,2221],[4,13,"t","(7,2,2,2)",4004,19,"lower bound",19,1107],[4,13,"t","(7,2,2,1,1)",7371,76,"lower bound",76,2154],[4,13,"t","(7,2,1,1,1,1)",4290,126,"lower bound",126,1409],[4,13,"t","(7,1,1,1,1,1,1)",924,80,"lower bound",80,351],[4,13,"t","(6,5,2)",5148,2,"lower bound",2,1330],[4,13,"t","(6,5,1,1)",5720,8,"lower bound",8,1562],[4,13,"t","(6,4,3)",6435,3,"lower bound",3,1743],[4,13,"t","(6,4,2,1)",17160,39,"lower bound",39,4983],[4,13,"t","(6,4,1,1,1)",10296,84,"lower bound",84,3220],[4,13,"t","(6,3,3,1)",11440,34,"lower bound",34,3425],[4,13,"t","(6,3,2,2)",12012,61,"lower bound",61,3739],[4,13,"t","(6,3,2,1,1)",20592,238,"lower bound",238,20592],[4,13,"t","(6,3,1,1,1,1)",9360,313,"lower bound",313,3354],[4,13,"t","(6,2,2,2,1)",9009,167,"lower bound",167,3079],[4,13,"t","(6,2,2,1,1,1)",9360,384,"lower bound",384,3442],[4,13,"t","(6,2,1,1,1,1,1)",4290,418,"lower bound",418,1764],[4,13,"t","(6,1,1,1,1,1,1,1)",792,170,"lower bound",170,382],[4,13,"t","(5,5,3)",3432,3,"lower bound",3,982],[4,13,"t","(5,5,2,1)",8580,25,"lower bound",25,2625],[4,13,"t","(5,5,1,1,1)",5005,47,"lower bound",47,1644],[4,13,"t","(5,4,3,1)",15015,44,"lower bound",44,4828],[4,13,"t","(5,4,2,2)",12870,62,"lower bound",62,4299],[4,13,"t","(5,4,2,1,1)",21450,259,"lower bound",259,21450],[4,13,"t","(5,4,1,1,1,1)",9009,320,"lower bound",320,3420],[4,13,"t","(5,3,3,2)",11583,63,"lower bound",63,3997],[4,13,"t","(5,3,3,1,1)",16016,208,"lower bound",208,5743],[4,13,"t","(5,3,2,2,1)",21450,373,"lower bound",373,21450],[4,13,"t","(5,3,2,1,1,1)",20592,851,"lower bound",851,20592],[4,13,"t","(5,3,1,1,1,1,1)",7371,736,"lower bound",736,3191],[4,13,"t","(5,2,2,2,2)",5005,142,"lower bound",142,1967],[4,13,"t","(5,2,2,2,1,1)",10296,528,"lower bound",528,4208],[4,13,"t","(5,2,2,1,1,1,1)",7800,841,"lower bound",841,3439],[4,13,"t","(5,2,1,1,1,1,1,1)",3003,644,"lower bound",644,1481],[4,13,"t","(5,1,1,1,1,1,1,1,1)",495,184,"lower bound",184,276],[4,13,"t","(4,4,4,1)",3432,6,"lower bound",6,1170],[4,13,"t","(4,4,3,2)",8580,41,"lower bound",41,3078],[4,13,"t","(4,4,3,1,1)",11583,146,"lower bound",146,4318],[4,13,"t","(4,4,2,2,1)",12870,212,"lower bound",212,4949],[4,13,"t","(4,4,2,1,1,1)",12012,498,"lower bound",498,4895],[4,13,"t","(4,4,1,1,1,1,1)",4004,404,"lower bound",404,1783],[4,13,"t","(4,3,3,3)",3432,23,"lower bound",23,1293],[4,13,"t","(4,3,3,2,1)",15015,254,"lower bound",254,5933],[4,13,"t","(4,3,3,1,1,1)",11440,482,"lower bound",482,4776],[4,13,"t","(4,3,2,2,2)",8580,216,"lower bound",216,3533],[4,13,"t","(4,3,2,2,1,1)",17160,843,"lower bound",843,7334],[4,13,"t","(4,3,2,1,1,1,1)",12012,1292,"lower bound",1292,5495],[4,13,"t","(4,3,1,1,1,1,1,1)",3640,781,"lower bound",781,1864],[4,13,"t","(4,2,2,2,2,1)",5720,355,"lower bound",355,2546],[4,13,"t","(4,2,2,2,1,1,1)",6864,814,"lower bound",814,3210],[4,13,"t","(4,2,2,1,1,1,1,1)",4212,928,"lower bound",928,2185],[4,13,"t","(4,2,1,1,1,1,1,1,1)",1430,525,"lower bound",525,787],[4,13,"t","(4,1,1,1,1,1,1,1,1,1)",220,120,"lower bound",120,134],[4,13,"t","(3,3,3,3,1)",2574,47,"lower bound",47,1073],[4,13,"t","(3,3,3,2,2)",3432,81,"lower bound",81,1469],[4,13,"t","(3,3,3,2,1,1)",6435,310,"lower bound",310,2849],[4,13,"t","(3,3,3,1,1,1,1)",3575,388,"lower bound",388,1688],[4,13,"t","(3,3,2,2,2,1)",5148,306,"lower bound",306,2348],[4,13,"t","(3,3,2,2,1,1,1)",6006,705,"lower bound",705,2872],[4,13,"t","(3,3,2,1,1,1,1,1)",3432,759,"lower bound",759,1787],[4,13,"t","(3,3,1,1,1,1,1,1,1)",936,344,"lower bound",344,518],[4,13,"t","(3,2,2,2,2,2)",1287,104,"lower bound",104,611],[4,13,"t","(3,2,2,2,2,1,1)",2860,380,"lower bound",380,1399],[4,13,"t","(3,2,2,2,1,1,1,1)",2574,598,"lower bound",598,1325],[4,13,"t","(3,2,2,1,1,1,1,1,1)",1365,507,"lower bound",507,751],[4,13,"t","(3,2,1,1,1,1,1,1,1,1)",429,232,"lower bound",232,258],[4,13,"t","(3,1,1,1,1,1,1,1,1,1,1)",66,48,"exact",48,48],[4,13,"t","(2,2,2,2,2,2,1)",429,66,"lower bound",66,216],[4,13,"t","(2,2,2,2,2,1,1,1)",572,144,"lower bound",144,299],[4,13,"t","(2,2,2,2,1,1,1,1,1)",429,164,"lower bound",164,238],[4,13,"t","(2,2,2,1,1,1,1,1,1,1)",208,113,"lower bound",113,124],[4,13,"t","(2,2,1,1,1,1,1,1,1,1,1)",65,47,"exact",47,47],[4,13,"t","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"exact",11,11],[4,13,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"t","(12,1)",12,0,"exact",0,0],[4,13,"t","(11,2)",65,0,"exact",0,0],[4,13,"t","(11,1,1)",66,0,"exact",0,0],[4,13,"t","(10,3)",208,20,"upper bound",0,20],[4,13,"t","(10,1,1,1)",220,20,"upper bound",0,20],[4,13,"t","(7,6)",429,86,"upper bound",0,86],[4,13,"t","(9,4)",429,63,"upper bound",0,63],[4,13,"t","(10,2,1)",429,40,"upper bound",0,40],[4,13,"t","(9,1,1,1,1)",495,104,"upper bound",0,104],[4,13,"t","(8,5)",572,103,"upper bound",0,103],[4,13,"t","(9,2,2)",936,152,"upper bound",0,152],[4,13,"t","(6,6,1)",1287,306,"upper bound",0,306],[4,13,"t","(9,3,1)",1365,209,"upper bound",0,209],[4,13,"t","(9,2,1,1)",1430,247,"upper bound",0,247],[4,13,"t","(5,4,4)",2574,767,"upper bound",0,767],[4,13,"t","(8,4,1)",2574,526,"upper bound",0,526],[4,13,"t","(7,5,1)",2860,812,"upper bound",0,812],[4,13,"t","(8,3,2)",3432,1384,"upper bound",0,1384],[4,13,"t","(7,4,2)",6006,3958,"upper bound",0,3958],[4,14,"t","(14)",1,0,"exact",0,0],[4,14,"t","(10,4)",637,1,"lower bound",1,134],[4,14,"t","(10,3,1)",2002,3,"lower bound",3,441],[4,14,"t","(10,2,2)",1365,2,"lower bound",2,314],[4,14,"t","(10,2,1,1)",2079,3,"lower bound",3,503],[4,14,"t","(10,1,1,1,1)",715,1,"lower bound",1,199],[4,14,"t","(9,5)",1001,2,"lower bound",2,270],[4,14,"t","(9,4,1)",4368,8,"lower bound",8,1275],[4,14,"t","(9,3,2)",5733,4,"lower bound",4,1736],[4,14,"t","(9,3,1,1)",7007,16,"lower bound",16,2230],[4,14,"t","(9,2,2,1)",6006,28,"lower bound",28,1969],[4,14,"t","(9,2,1,1,1)",4928,56,"lower bound",56,1743],[4,14,"t","(9,1,1,1,1,1)",1287,36,"lower bound",36,516],[4,14,"t","(8,6)",1001,1,"lower bound",1,307],[4,14,"t","(8,5,1)",6006,1,"lower bound",1,2040],[4,14,"t","(8,4,1,1)",13650,35,"lower bound",35,5105],[4,14,"t","(8,3,3)",7007,11,"lower bound",11,2580],[4,14,"t","(8,3,2,1)",23296,131,"lower bound",131,23296],[4,14,"t","(8,3,1,1,1)",15015,218,"lower bound",218,6226],[4,14,"t","(8,2,2,2)",7644,92,"lower bound",92,3110],[4,14,"t","(8,2,2,1,1)",14014,293,"lower bound",293,5950],[4,14,"t","(8,2,1,1,1,1)",8085,380,"lower bound",380,3728],[4,14,"t","(8,1,1,1,1,1,1)",1716,190,"lower bound",190,879],[4,14,"t","(7,7)",429,1,"lower bound",1,139],[4,14,"t","(7,6,1)",4576,2,"lower bound",2,1678],[4,14,"t","(7,5,2)",14014,21,"lower bound",21,5518],[4,14,"t","(7,5,1,1)",15444,64,"lower bound",64,6343],[4,14,"t","(7,4,3)",16016,36,"lower bound",36,6565],[4,14,"t","(7,4,2,1)",42042,288,"lower bound",288,42042],[4,14,"t","(7,4,1,1,1)",24960,433,"lower bound",433,24960],[4,14,"t","(7,3,3,1)",27027,237,"lower bound",237,27027],[4,14,"t","(7,3,2,2)",28028,371,"lower bound",371,28028],[4,14,"t","(7,3,2,1,1)",47775,1055,"lower bound",1055,47775],[4,14,"t","(7,3,1,1,1,1)",21450,1139,"lower bound",1139,21450],[4,14,"t","(7,2,2,2,1)",20384,710,"lower bound",710,20384],[4,14,"t","(7,2,2,1,1,1)",21021,1328,"lower bound",1328,21021],[4,14,"t","(7,2,1,1,1,1,1)",9504,1200,"lower bound",1200,5334],[4,14,"t","(7,1,1,1,1,1,1,1)",1716,415,"lower bound",415,1066],[4,14,"t","(6,6,2)",6435,16,"lower bound",16,2645],[4,14,"t","(6,6,1,1)",7007,33,"lower bound",33,2999],[4,14,"t","(6,5,3)",15015,50,"lower bound",50,6528],[4,14,"t","(6,5,2,1)",36608,308,"lower bound",308,36608],[4,14,"t","(6,5,1,1,1)",21021,414,"lower bound",414,21021],[4,14,"t","(6,4,4)",9009,28,"lower bound",28,4022],[4,14,"t","(6,4,3,1)",50050,493,"lower bound",493,50050],[4,14,"t","(6,4,2,2)",42042,613,"lower bound",613,42042],[4,14,"t","(6,4,2,1,1)",69498,1112,"lower bound",1112,69498],[4,14,"t","(6,4,1,1,1,1)",28665,1569,"lower bound",1569,28665],[4,14,"t","(6,3,3,2)",35035,572,"lower bound",572,35035],[4,14,"t","(6,3,3,1,1)",48048,1267,"lower bound",1267,48048],[4,14,"t","(6,3,2,2,1)",63063,1351,"lower bound",1351,63063],[4,14,"t","(6,3,2,1,1,1)",59904,1786,"lower bound",1786,59904],[4,14,"t","(6,3,1,1,1,1,1)",21021,2496,"lower bound",2496,21021],[4,14,"t","(6,2,2,2,2)",14014,768,"lower bound",768,7738],[4,14,"t","(6,2,2,2,1,1)",28665,2083,"lower bound",2083,28665],[4,14,"t","(6,2,2,1,1,1,1)",21450,2775,"lower bound",2775,21450],[4,14,"t","(6,2,1,1,1,1,1,1)",8085,1998,"lower bound",1998,7388],[4,14,"t","(6,1,1,1,1,1,1,1,1)",1287,505,"lower bound",505,899],[4,14,"t","(5,5,4)",6006,22,"lower bound",22,2769],[4,14,"t","(5,5,3,1)",27027,293,"lower bound",293,27027],[4,14,"t","(5,5,2,2)",21450,318,"lower bound",318,21450],[4,14,"t","(5,5,2,1,1)",35035,951,"lower bound",951,35035],[4,14,"t","(5,5,1,1,1,1)",14014,826,"lower bound",826,7759],[4,14,"t","(5,4,4,1)",21021,218,"lower bound",218,21021],[4,14,"t","(5,4,3,2)",48048,792,"lower bound",792,48048],[4,14,"t","(5,4,3,1,1)",64064,1388,"lower bound",1388,64064],[4,14,"t","(5,4,2,2,1)",68640,1352,"lower bound",1352,68640],[4,14,"t","(5,4,2,1,1,1)",63063,1928,"lower bound",1928,63063],[4,14,"t","(5,4,1,1,1,1,1)",20384,2581,"lower bound",2581,20384],[4,14,"t","(5,3,3,3)",15015,312,"lower bound",312,8089],[4,14,"t","(5,3,3,2,1)",64064,1403,"lower bound",1403,64064],[4,14,"t","(5,3,3,1,1,1)",48048,1694,"lower bound",1694,48048],[4,14,"t","(5,3,2,2,2)",35035,1894,"lower bound",1894,35035],[4,14,"t","(5,3,2,2,1,1)",69498,2595,"lower bound",2595,69498],[4,14,"t","(5,3,2,1,1,1,1)",47775,3720,"lower bound",3720,47775],[4,14,"t","(5,3,1,1,1,1,1,1)",14014,2917,"lower bound",2917,11741],[4,14,"t","(5,2,2,2,2,1)",21021,2178,"lower bound",2178,21021],[4,14,"t","(5,2,2,2,1,1,1)",24960,3020,"lower bound",3020,24960],[4,14,"t","(5,2,2,1,1,1,1,1)",15015,2998,"lower bound",2998,12914],[4,14,"t","(5,2,1,1,1,1,1,1,1)",4928,1940,"lower bound",1940,3511],[4,14,"t","(5,1,1,1,1,1,1,1,1,1)",715,393,"lower bound",393,533],[4,14,"t","(4,4,4,2)",12012,196,"lower bound",196,6465],[4,14,"t","(4,4,4,1,1)",15015,452,"lower bound",452,8319],[4,14,"t","(4,4,3,3)",12012,231,"lower bound",231,6606],[4,14,"t","(4,4,3,2,1)",48048,1618,"lower bound",1618,48048],[4,14,"t","(4,4,3,1,1,1)",35035,2125,"lower bound",2125,35035],[4,14,"t","(4,4,2,2,2)",21450,1148,"lower bound",1148,21450],[4,14,"t","(4,4,2,2,1,1)",42042,2079,"lower bound",2079,42042],[4,14,"t","(4,4,2,1,1,1,1)",28028,2978,"lower bound",2978,28028],[4,14,"t","(4,4,1,1,1,1,1,1)",7644,1914,"lower bound",1914,5596],[4,14,"t","(4,3,3,3,1)",21021,905,"lower bound",905,21021],[4,14,"t","(4,3,3,2,2)",27027,1470,"lower bound",1470,27027],[4,14,"t","(4,3,3,2,1,1)",50050,1902,"lower bound",1902,50050],[4,14,"t","(4,3,3,1,1,1,1)",27027,2997,"lower bound",2997,27027],[4,14,"t","(4,3,2,2,2,1)",36608,2262,"lower bound",2262,36608],[4,14,"t","(4,3,2,2,1,1,1)",42042,3654,"lower bound",3654,42042],[4,14,"t","(4,3,2,1,1,1,1,1)",23296,3760,"lower bound",3760,23296],[4,14,"t","(4,3,1,1,1,1,1,1,1)",6006,2371,"lower bound",2371,4358],[4,14,"t","(4,2,2,2,2,2)",7007,962,"lower bound",962,4523],[4,14,"t","(4,2,2,2,2,1,1)",15444,2848,"lower bound",2848,10198],[4,14,"t","(4,2,2,2,1,1,1,1)",13650,3760,"lower bound",3760,11072],[4,14,"t","(4,2,2,1,1,1,1,1,1)",7007,2811,"lower bound",2811,5106],[4,14,"t","(4,2,1,1,1,1,1,1,1,1)",2079,1144,"lower bound",1144,1559],[4,14,"t","(4,1,1,1,1,1,1,1,1,1,1)",286,201,"lower bound",201,224],[4,14,"t","(3,3,3,3,2)",6006,352,"lower bound",352,3689],[4,14,"t","(3,3,3,3,1,1)",9009,793,"lower bound",793,5663],[4,14,"t","(3,3,3,2,2,1)",15015,1555,"lower bound",1555,9573],[4,14,"t","(3,3,3,2,1,1,1)",16016,2582,"lower bound",2582,10544],[4,14,"t","(3,3,3,1,1,1,1,1)",7007,1864,"lower bound",1864,4959],[4,14,"t","(3,3,2,2,2,2)",6435,871,"lower bound",871,4207],[4,14,"t","(3,3,2,2,2,1,1)",14014,2584,"lower bound",2584,9350],[4,14,"t","(3,3,2,2,1,1,1,1)",12012,3314,"lower bound",3314,8948],[4,14,"t","(3,3,2,1,1,1,1,1,1)",5733,2313,"lower bound",2313,4187],[4,14,"t","(3,3,1,1,1,1,1,1,1,1)",1365,751,"lower bound",751,1028],[4,14,"t","(3,2,2,2,2,2,1)",4576,1005,"lower bound",1005,3109],[4,14,"t","(3,2,2,2,2,1,1,1)",6006,1801,"lower bound",1801,4195],[4,14,"t","(3,2,2,2,1,1,1,1,1)",4368,1815,"lower bound",1815,3165],[4,14,"t","(3,2,2,1,1,1,1,1,1,1)",2002,1112,"lower bound",1112,1504],[4,14,"t","(3,2,1,1,1,1,1,1,1,1,1)",560,394,"lower bound",394,437],[4,14,"t","(3,1,1,1,1,1,1,1,1,1,1,1)",78,66,"exact",66,66],[4,14,"t","(2,2,2,2,2,2,2)",429,114,"lower bound",114,295],[4,14,"t","(2,2,2,2,2,2,1,1)",1001,329,"lower bound",329,705],[4,14,"t","(2,2,2,2,2,1,1,1,1)",1001,434,"lower bound",434,725],[4,14,"t","(2,2,2,2,1,1,1,1,1,1)",637,357,"lower bound",357,477],[4,14,"t","(2,2,2,1,1,1,1,1,1,1,1)",273,191,"lower bound",191,212],[4,14,"t","(2,2,1,1,1,1,1,1,1,1,1,1)",77,65,"exact",65,65],[4,14,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[4,14,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"t","(13,1)",13,0,"exact",0,0],[4,14,"t","(12,2)",77,0,"exact",0,0],[4,14,"t","(12,1,1)",78,0,"exact",0,0],[4,14,"t","(11,3)",273,35,"upper bound",0,35],[4,14,"t","(11,1,1,1)",286,35,"upper bound",0,35],[4,14,"t","(11,2,1)",560,70,"upper bound",0,70],[4,14,"t","(8,4,2)",12012,10,"lower bound",10,4297],[4,15,"t","(15)",1,0,"exact",0,0],[4,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[4,15,"t","(14,1)",14,0,"exact",0,0],[4,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,84,"exact",84,84],[4,15,"t","(13,2)",90,0,"exact",0,0],[4,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,85,"exact",85,85],[4,15,"t","(13,1,1)",91,0,"exact",0,0],[4,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,289,"lower bound",289,311],[4,15,"t","(12,3)",350,56,"upper bound",0,56],[4,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,302,"lower bound",302,326],[4,15,"t","(12,1,1,1)",364,56,"upper bound",0,56],[4,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,595,"lower bound",595,642],[4,15,"t","(12,2,1)",715,112,"upper bound",0,112],[4,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,658,"lower bound",658,799],[4,15,"t","(11,4)",910,5,"lower bound",5,248],[4,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,716,"lower bound",716,879],[4,15,"t","(11,1,1,1,1)",1001,5,"lower bound",5,343],[4,15,"t","(2,2,2,2,2,2,2,1)",1430,652,"lower bound",652,1183],[4,15,"t","(8,7)",1430,9,"lower bound",9,620],[4,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,1012,"lower bound",1012,1406],[4,15,"t","(10,5)",1638,13,"lower bound",13,580],[4,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,1391,"lower bound",1391,1697],[4,15,"t","(11,2,2)",1925,10,"lower bound",10,568],[4,15,"t","(2,2,2,2,2,2,1,1,1)",2002,1049,"lower bound",1049,1683],[4,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,1164,"lower bound",1164,1691],[4,15,"t","(9,6)",2002,14,"lower bound",14,813],[4,15,"t","(10,1,1,1,1,1)",2002,91,"lower bound",91,983],[4,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,2052,"lower bound",2052,2496],[4,15,"t","(11,3,1)",2835,15,"lower bound",15,806],[4,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,2108,"lower bound",2108,2575],[4,15,"t","(11,2,1,1)",2925,15,"lower bound",15,898],[4,15,"t","(7,1,1,1,1,1,1,1,1)",3003,1303,"lower bound",1303,2399],[4,15,"t","(9,1,1,1,1,1,1)",3003,437,"lower bound",437,1849],[4,15,"t","(8,1,1,1,1,1,1,1)",3432,975,"lower bound",975,2485],[4,15,"t","(3,2,2,2,2,2,2)",5005,1815,"lower bound",1815,4066],[4,15,"t","(7,7,1)",5005,20,"lower bound",20,2499],[4,15,"t","(3,3,3,3,3)",6006,786,"lower bound",786,4537],[4,15,"t","(5,5,5)",6006,91,"lower bound",91,3657],[4,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,4096,"lower bound",4096,6035],[4,15,"t","(10,4,1)",7007,37,"lower bound",37,2665],[4,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,4096,"lower bound",4096,6600],[4,15,"t","(10,2,1,1,1)",7722,188,"lower bound",188,3443],[4,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,4176,"lower bound",4176,9003],[4,15,"t","(10,3,2)",9100,70,"lower bound",70,3585],[4,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,4266,"lower bound",4266,9254],[4,15,"t","(10,2,2,1)",9450,148,"lower bound",148,3969],[4,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,5067,"lower bound",5067,10959],[4,15,"t","(10,3,1,1)",11088,121,"lower bound",121,4536],[4,15,"t","(9,5,1)",11375,38,"lower bound",38,5046],[4,15,"t","(8,6,1)",11583,37,"lower bound",37,5572],[4,15,"t","(3,3,3,1,1,1,1,1,1)",12740,4177,"lower bound",4177,12236],[4,15,"t","(9,3,3)",12740,100,"lower bound",100,6063],[4,15,"t","(4,4,1,1,1,1,1,1,1)",13650,4285,"lower bound",4285,13281],[4,15,"t","(9,2,2,2)",13650,389,"lower bound",389,7054],[4,15,"t","(6,2,1,1,1,1,1,1,1)",14300,4443,"lower bound",4443,13808],[4,15,"t","(9,2,1,1,1,1)",14300,1071,"lower bound",1071,8138],[4,15,"t","(7,2,1,1,1,1,1,1)",19305,3613,"lower bound",3613,14598],[4,15,"t","(8,2,1,1,1,1,1)",19305,2553,"lower bound",2553,13008],[4,15,"t","(3,2,2,2,2,1,1,1,1)",11375,4096,"lower bound",4096,11375],[4,15,"t","(3,2,2,2,2,2,1,1)",11583,3843,"lower bound",3843,11583],[4,15,"t","(3,3,2,2,1,1,1,1,1)",22113,7442,"lower bound",7442,22113],[4,15,"t","(3,3,2,2,2,1,1,1)",32032,7699,"lower bound",7699,32032],[4,15,"t","(3,3,2,2,2,2,1)",25025,4460,"lower bound",4460,25025],[4,15,"t","(3,3,3,2,1,1,1,1)",35035,7760,"lower bound",7760,35035],[4,15,"t","(3,3,3,2,2,1,1)",45045,6721,"lower bound",6721,45045],[4,15,"t","(3,3,3,2,2,2)",21450,3065,"lower bound",3065,21450],[4,15,"t","(3,3,3,3,1,1,1)",25025,3375,"lower bound",3375,25025],[4,15,"t","(3,3,3,3,2,1)",30030,2803,"lower bound",2803,30030],[4,15,"t","(4,2,2,2,1,1,1,1,1)",25025,8386,"lower bound",8386,25025],[4,15,"t","(4,2,2,2,2,1,1,1)",35100,8409,"lower bound",8409,35100],[4,15,"t","(4,2,2,2,2,2,1)",27027,4815,"lower bound",4815,27027],[4,15,"t","(4,3,2,1,1,1,1,1,1)",42042,11255,"lower bound",11255,42042],[4,15,"t","(4,3,2,2,1,1,1,1)",91000,14488,"lower bound",14488,91000],[4,15,"t","(4,3,2,2,2,1,1)",108108,11348,"lower bound",11348,108108],[4,15,"t","(4,3,2,2,2,2)",50050,4095,"lower bound",4095,50050],[4,15,"t","(4,3,3,1,1,1,1,1)",57330,8621,"lower bound",8621,57330],[4,15,"t","(4,3,3,2,1,1,1)",135135,11135,"lower bound",11135,135135],[4,15,"t","(4,3,3,2,2,1)",128700,7189,"lower bound",7189,128700],[4,15,"t","(4,3,3,3,1,1)",80080,3600,"lower bound",3600,80080],[4,15,"t","(4,3,3,3,2)",54054,2727,"lower bound",2727,54054],[4,15,"t","(4,4,2,1,1,1,1,1)",58968,8652,"lower bound",8652,58968],[4,15,"t","(4,4,2,2,1,1,1)",112112,8711,"lower bound",8711,112112],[4,15,"t","(4,4,2,2,2,1)",100100,5489,"lower bound",5489,100100],[4,15,"t","(4,4,3,1,1,1,1)",90090,8100,"lower bound",8100,90090],[4,15,"t","(4,4,3,2,1,1)",175175,7724,"lower bound",7724,175175],[4,15,"t","(4,4,3,2,2)",96525,4236,"lower bound",4236,96525],[4,15,"t","(4,4,3,3,1)",81081,2754,"lower bound",2754,81081],[4,15,"t","(4,4,4,1,1,1)",50050,2577,"lower bound",2577,50050],[4,15,"t","(4,4,4,2,1)",75075,2266,"lower bound",2266,75075],[4,15,"t","(4,4,4,3)",24024,1205,"lower bound",1205,24024],[4,15,"t","(5,2,2,1,1,1,1,1,1)",26950,7749,"lower bound",7749,26950],[4,15,"t","(5,2,2,2,1,1,1,1)",53625,9778,"lower bound",9778,53625],[4,15,"t","(5,2,2,2,2,1,1)",61425,8046,"lower bound",8046,61425],[4,15,"t","(5,2,2,2,2,2)",28028,3140,"lower bound",3140,28028],[4,15,"t","(5,3,1,1,1,1,1,1,1)",24948,7228,"lower bound",7228,24948],[4,15,"t","(5,3,2,1,1,1,1,1)",100100,13395,"lower bound",13395,100100],[4,15,"t","(5,3,2,2,1,1,1)",184275,12989,"lower bound",12989,184275],[4,15,"t","(5,3,2,2,2,1)",162162,8929,"lower bound",8929,162162],[4,15,"t","(5,3,3,1,1,1,1)",122850,8411,"lower bound",8411,122850],[4,15,"t","(5,3,3,2,1,1)",231660,7594,"lower bound",7594,231660],[4,15,"t","(5,3,3,2,2)",126126,4767,"lower bound",4767,126126],[4,15,"t","(5,3,3,3,1)",100100,2620,"lower bound",2620,100100],[4,15,"t","(5,4,1,1,1,1,1,1)",42042,7412,"lower bound",7412,42042],[4,15,"t","(5,4,2,1,1,1,1)",159250,11207,"lower bound",11207,159250],[4,15,"t","(5,4,2,2,1,1)",243243,7954,"lower bound",7954,243243],[4,15,"t","(5,4,2,2,2)",125125,4394,"lower bound",4394,125125],[4,15,"t","(5,4,3,1,1,1)",210210,7135,"lower bound",7135,210210],[4,15,"t","(5,4,3,2,1)",292864,6553,"lower bound",6553,292864],[4,15,"t","(5,4,3,3)",75075,1335,"lower bound",1335,75075],[4,15,"t","(5,4,4,1,1)",100100,2058,"lower bound",2058,100100],[4,15,"t","(5,4,4,2)",81081,1206,"lower bound",1206,81081],[4,15,"t","(5,5,1,1,1,1,1)",34398,3407,"lower bound",3407,34398],[4,15,"t","(5,5,2,1,1,1)",112112,3705,"lower bound",3705,112112],[4,15,"t","(5,5,2,2,1)",125125,2621,"lower bound",2621,125125],[4,15,"t","(5,5,3,1,1)",126126,2632,"lower bound",2632,126126],[4,15,"t","(5,5,3,2)",96525,1403,"lower bound",1403,96525],[4,15,"t","(5,5,4,1)",54054,819,"lower bound",819,54054],[4,15,"t","(6,2,2,1,1,1,1,1)",44550,7771,"lower bound",7771,44550],[4,15,"t","(6,2,2,2,1,1,1)",75075,7878,"lower bound",7878,75075],[4,15,"t","(6,2,2,2,2,1)",63700,5029,"lower bound",5029,63700],[4,15,"t","(6,3,1,1,1,1,1,1)",43120,7411,"lower bound",7411,43120],[4,15,"t","(6,3,2,1,1,1,1)",150150,10777,"lower bound",10777,150150],[4,15,"t","(6,3,2,2,1,1)",221130,7815,"lower bound",7815,221130],[4,15,"t","(6,3,2,2,2)",112112,4013,"lower bound",4013,112112],[4,15,"t","(6,3,3,1,1,1)",156000,4747,"lower bound",4747,156000],[4,15,"t","(6,3,3,2,1)",210210,4593,"lower bound",4593,210210],[4,15,"t","(6,3,3,3)",50050,1066,"lower bound",1066,50050],[4,15,"t","(6,4,1,1,1,1,1)",70070,6646,"lower bound",6646,70070],[4,15,"t","(6,4,2,1,1,1)",221130,6395,"lower bound",6395,221130],[4,15,"t","(6,4,2,2,1)",243243,4428,"lower bound",4428,243243],[4,15,"t","(6,4,3,1,1)",231660,4260,"lower bound",4260,231660],[4,15,"t","(6,4,3,2)",175175,2470,"lower bound",2470,175175],[4,15,"t","(6,4,4,1)",80080,835,"lower bound",835,80080],[4,15,"t","(6,5,1,1,1,1)",63700,2809,"lower bound",2809,63700],[4,15,"t","(6,5,2,1,1)",162162,2785,"lower bound",2785,162162],[4,15,"t","(6,5,2,2)",100100,1239,"lower bound",1239,100100],[4,15,"t","(6,5,3,1)",128700,1144,"lower bound",1144,128700],[4,15,"t","(6,5,4)",30030,404,"lower bound",404,30030],[4,15,"t","(6,6,1,1,1)",28028,1137,"lower bound",1137,28028],[4,15,"t","(6,6,2,1)",50050,908,"lower bound",908,50050],[4,15,"t","(6,6,3)",21450,256,"lower bound",256,21450],[4,15,"t","(7,2,2,1,1,1,1)",51975,5303,"lower bound",5303,51975],[4,15,"t","(7,2,2,2,1,1)",70070,4121,"lower bound",4121,70070],[4,15,"t","(7,2,2,2,2)",34398,1896,"lower bound",1896,34398],[4,15,"t","(7,3,1,1,1,1,1)",51975,4835,"lower bound",4835,51975],[4,15,"t","(7,3,2,1,1,1)",150150,5308,"lower bound",5308,150150],[4,15,"t","(7,3,2,2,1)",159250,3487,"lower bound",3487,159250],[4,15,"t","(7,3,3,1,1)",122850,2559,"lower bound",2559,122850],[4,15,"t","(7,3,3,2)",90090,1180,"lower bound",1180,90090],[4,15,"t","(7,4,1,1,1,1)",75075,3141,"lower bound",3141,75075],[4,15,"t","(7,4,2,1,1)",184275,2888,"lower bound",2888,184275],[4,15,"t","(7,4,2,2)",112112,1272,"lower bound",1272,112112],[4,15,"t","(7,4,3,1)",135135,1054,"lower bound",1054,135135],[4,15,"t","(7,4,4)",25025,277,"lower bound",277,25025],[4,15,"t","(7,5,1,1,1)",61425,1418,"lower bound",1418,61425],[4,15,"t","(7,5,2,1)",108108,681,"lower bound",681,108108],[4,15,"t","(7,5,3)",45045,463,"lower bound",463,45045],[4,15,"t","(7,6,1,1)",27027,353,"lower bound",353,27027],[4,15,"t","(7,6,2)",25025,183,"lower bound",183,25025],[4,15,"t","(8,2,2,1,1,1)",43120,2001,"lower bound",2001,43120],[4,15,"t","(8,2,2,2,1)",42042,1705,"lower bound",1705,42042],[4,15,"t","(8,3,1,1,1,1)",44550,1737,"lower bound",1737,44550],[4,15,"t","(8,3,2,1,1)",100100,1697,"lower bound",1697,100100],[4,15,"t","(8,3,2,2)",58968,926,"lower bound",926,58968],[4,15,"t","(8,3,3,1)",57330,1027,"lower bound",1027,57330],[4,15,"t","(8,4,1,1,1)",53625,1062,"lower bound",1062,53625],[4,15,"t","(8,4,2,1)",91000,464,"lower bound",464,91000],[4,15,"t","(8,4,3)",35035,288,"lower bound",288,35035],[4,15,"t","(8,5,1,1)",35100,397,"lower bound",397,35100],[4,15,"t","(8,5,2)",32032,187,"lower bound",187,32032],[4,15,"t","(9,2,2,1,1)",24948,904,"lower bound",904,24948],[4,15,"t","(9,3,1,1,1)",26950,832,"lower bound",832,26950],[4,15,"t","(9,3,2,1)",42042,617,"lower bound",617,42042],[4,15,"t","(9,4,1,1)",25025,255,"lower bound",255,25025],[4,15,"t","(9,4,2)",22113,118,"lower bound",118,22113],[4,16,"t","(16)",1,0,"exact",0,0],[4,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,16,"t","(15,1)",15,0,"exact",0,0],[4,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,101,"exact",101,101],[4,16,"t","(14,2)",104,0,"exact",0,0],[4,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,102,"exact",102,102],[4,16,"t","(14,1,1)",105,0,"exact",0,0],[4,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,403,"lower bound",403,421],[4,16,"t","(13,3)",440,84,"upper bound",0,84],[4,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,418,"lower bound",418,437],[4,16,"t","(13,1,1,1)",455,84,"upper bound",0,84],[4,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,824,"lower bound",824,860],[4,16,"t","(13,2,1)",896,168,"upper bound",0,168],[4,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1070,"lower bound",1070,1195],[4,16,"t","(12,4)",1260,15,"lower bound",15,416],[4,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1154,"lower bound",1154,1296],[4,16,"t","(12,1,1,1,1)",1365,15,"lower bound",15,547],[4,16,"t","(2,2,2,2,2,2,2,2)",1430,889,"lower bound",889,1293],[4,16,"t","(8,8)",1430,30,"lower bound",30,783],[4,16,"t","(11,5)",2548,56,"lower bound",56,1097],[4,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2255,"lower bound",2255,2513],[4,16,"t","(12,2,2)",2640,30,"lower bound",30,936],[4,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,2260,"lower bound",2260,2802],[4,16,"t","(11,1,1,1,1,1)",3003,211,"lower bound",211,1701],[4,16,"t","(9,7)",3432,78,"lower bound",78,1822],[4,16,"t","(10,6)",3640,93,"lower bound",93,1800],[4,16,"t","(12,3,1)",3900,45,"lower bound",45,1367],[4,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,3407,"lower bound",3407,3809],[4,16,"t","(12,2,1,1)",4004,45,"lower bound",45,1482],[4,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,2467,"lower bound",2467,4531],[4,16,"t","(10,1,1,1,1,1,1)",5005,528,"lower bound",528,3486],[4,16,"t","(8,1,1,1,1,1,1,1,1)",6435,2278,"lower bound",2278,5561],[4,16,"t","(9,1,1,1,1,1,1,1)",6435,1412,"lower bound",1412,5134],[4,16,"t","(11,4,1)",10752,57,"lower bound",57,4934],[4,16,"t","(11,2,1,1,1)",11648,208,"lower bound",208,6111],[4,16,"t","(11,3,2)",13860,95,"lower bound",95,6562],[4,16,"t","(11,2,2,1)",14300,173,"lower bound",173,7146],[4,16,"t","(11,3,1,1)",16848,151,"lower bound",151,8228],[4,16,"t","(8,7,1)",18018,66,"lower bound",66,10859],[4,16,"t","(10,2,1,1,1,1)",24024,1350,"lower bound",1350,24024],[4,16,"t","(10,2,2,1,1)",42120,1240,"lower bound",1240,42120],[4,16,"t","(10,2,2,2)",23100,537,"lower bound",537,23100],[4,16,"t","(10,3,1,1,1)",45760,1141,"lower bound",1141,45760],[4,16,"t","(10,3,2,1)",71680,956,"lower bound",956,71680],[4,16,"t","(10,3,3)",21840,170,"lower bound",170,21840],[4,16,"t","(10,4,1,1)",43120,413,"lower bound",413,43120],[4,16,"t","(10,4,2)",38220,225,"lower bound",225,38220],[4,16,"t","(10,5,1)",20020,88,"lower bound",88,20020],[4,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[4,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,1985,"lower bound",1985,2548],[4,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,2589,"lower bound",2589,3640],[4,16,"t","(2,2,2,2,2,2,2,1,1)",3432,2245,"lower bound",2245,3432],[4,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3323,"lower bound",3323,3900],[4,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,6806,"lower bound",6806,10752],[4,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,9204,"lower bound",9204,20020],[4,16,"t","(3,2,2,2,2,2,1,1,1)",24960,8988,"lower bound",8988,24960],[4,16,"t","(3,2,2,2,2,2,2,1)",18018,6310,"lower bound",6310,18018],[4,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,7619,"lower bound",7619,13860],[4,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,15714,"lower bound",15714,38220],[4,16,"t","(3,3,2,2,2,1,1,1,1)",65520,19237,"lower bound",19237,65520],[4,16,"t","(3,3,2,2,2,2,1,1)",68640,16002,"lower bound",16002,68640],[4,16,"t","(3,3,2,2,2,2,2)",30030,6275,"lower bound",6275,30030],[4,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,8353,"lower bound",8353,21840],[4,16,"t","(3,3,3,2,1,1,1,1,1)",69888,19379,"lower bound",19379,69888],[4,16,"t","(3,3,3,2,2,1,1,1)",112112,22180,"lower bound",22180,112112],[4,16,"t","(3,3,3,2,2,2,1)",91520,14246,"lower bound",14246,91520],[4,16,"t","(3,3,3,3,1,1,1,1)",60060,11135,"lower bound",11135,60060],[4,16,"t","(3,3,3,3,2,1,1)",100100,12899,"lower bound",12899,100100],[4,16,"t","(3,3,3,3,2,2)",51480,5868,"lower bound",5868,51480],[4,16,"t","(3,3,3,3,3,1)",36036,3589,"lower bound",3589,36036],[4,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,9227,"lower bound",9227,16848],[4,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,17549,"lower bound",17549,43120],[4,16,"t","(4,2,2,2,2,1,1,1,1)",71500,20891,"lower bound",20891,71500],[4,16,"t","(4,2,2,2,2,2,1,1)",73710,17067,"lower bound",17067,73710],[4,16,"t","(4,2,2,2,2,2,2)",32032,6630,"lower bound",6630,32032],[4,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,7765,"lower bound",7765,14300],[4,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,24764,"lower bound",24764,71680],[4,16,"t","(4,3,2,2,1,1,1,1,1)",180180,41571,"lower bound",41571,180180],[4,16,"t","(4,3,2,2,2,1,1,1)",266240,41944,"lower bound",41944,266240],[4,16,"t","(4,3,2,2,2,2,1)",210210,24718,"lower bound",24718,210210],[4,16,"t","(4,3,3,1,1,1,1,1,1)",112112,24053,"lower bound",24053,112112],[4,16,"t","(4,3,3,2,1,1,1,1)",318500,42004,"lower bound",42004,318500],[4,16,"t","(4,3,3,2,2,1,1)",416988,36393,"lower bound",36393,416988],[4,16,"t","(4,3,3,2,2,2)",200200,14349,"lower bound",14349,200200],[4,16,"t","(4,3,3,3,1,1,1)",240240,18110,"lower bound",18110,240240],[4,16,"t","(4,3,3,3,2,1)",292864,16319,"lower bound",16319,292864],[4,16,"t","(4,3,3,3,3)",60060,3513,"lower bound",3513,60060],[4,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,8551,"lower bound",8551,23100],[4,16,"t","(4,4,2,1,1,1,1,1,1)",114660,24192,"lower bound",24192,114660],[4,16,"t","(4,4,2,2,1,1,1,1)",262080,31851,"lower bound",31851,262080],[4,16,"t","(4,4,2,2,2,1,1)",320320,25548,"lower bound",25548,320320],[4,16,"t","(4,4,2,2,2,2)",150150,9584,"lower bound",9584,150150],[4,16,"t","(4,4,3,1,1,1,1,1)",206388,25373,"lower bound",25373,206388],[4,16,"t","(4,4,3,2,1,1,1)",512512,35670,"lower bound",35670,512512],[4,16,"t","(4,4,3,2,2,1)",500500,24638,"lower bound",24638,500500],[4,16,"t","(4,4,3,3,1,1)",336336,14078,"lower bound",14078,336336],[4,16,"t","(4,4,3,3,2)",231660,9717,"lower bound",9717,231660],[4,16,"t","(4,4,4,1,1,1,1)",140140,10677,"lower bound",10677,140140],[4,16,"t","(4,4,4,2,1,1)",300300,12567,"lower bound",12567,300300],[4,16,"t","(4,4,4,2,2)",171600,6502,"lower bound",6502,171600],[4,16,"t","(4,4,4,3,1)",180180,6225,"lower bound",6225,180180],[4,16,"t","(4,4,4,4)",24024,1205,"lower bound",1205,24024],[4,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,6920,"lower bound",6920,11648],[4,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,16912,"lower bound",16912,45760],[4,16,"t","(5,2,2,2,1,1,1,1,1)",105600,25913,"lower bound",25913,105600],[4,16,"t","(5,2,2,2,2,1,1,1)",150150,26233,"lower bound",26233,150150],[4,16,"t","(5,2,2,2,2,2,1)",116480,16001,"lower bound",16001,116480],[4,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,15590,"lower bound",15590,42120],[4,16,"t","(5,3,2,1,1,1,1,1,1)",194040,39627,"lower bound",39627,194040],[4,16,"t","(5,3,2,2,1,1,1,1)",429000,50650,"lower bound",50650,429000],[4,16,"t","(5,3,2,2,2,1,1)",515970,41312,"lower bound",41312,515970],[4,16,"t","(5,3,2,2,2,2)",240240,16164,"lower bound",16164,240240],[4,16,"t","(5,3,3,1,1,1,1,1)",280280,30427,"lower bound",30427,280280],[4,16,"t","(5,3,3,2,1,1,1)",673920,40129,"lower bound",40129,673920],[4,16,"t","(5,3,3,2,2,1)",648648,28479,"lower bound",28479,648648],[4,16,"t","(5,3,3,3,1,1)",411840,13814,"lower bound",13814,411840],[4,16,"t","(5,3,3,3,2)",280280,10114,"lower bound",10114,280280],[4,16,"t","(5,4,1,1,1,1,1,1,1)",80640,18925,"lower bound",18925,80640],[4,16,"t","(5,4,2,1,1,1,1,1)",360360,40666,"lower bound",40666,360360],[4,16,"t","(5,4,2,2,1,1,1)",698880,40861,"lower bound",40861,698880],[4,16,"t","(5,4,2,2,2,1)",630630,26766,"lower bound",26766,630630],[4,16,"t","(5,4,3,1,1,1,1)",582400,34853,"lower bound",34853,582400],[4,16,"t","(5,4,3,2,1,1)",1153152,36960,"lower bound",36960,1153152],[4,16,"t","(5,4,3,2,2)",640640,19950,"lower bound",19950,640640],[4,16,"t","(5,4,3,3,1)",549120,13262,"lower bound",13262,549120],[4,16,"t","(5,4,4,1,1,1)",360360,11770,"lower bound",11770,360360],[4,16,"t","(5,4,4,2,1)",549120,12083,"lower bound",12083,549120],[4,16,"t","(5,4,4,3)",180180,3746,"lower bound",3746,180180],[4,16,"t","(5,5,1,1,1,1,1,1)",76440,10819,"lower bound",10819,76440],[4,16,"t","(5,5,2,1,1,1,1)",305760,18319,"lower bound",18319,305760],[4,16,"t","(5,5,2,2,1,1)",480480,14280,"lower bound",14280,480480],[4,16,"t","(5,5,2,2,2)",250250,7015,"lower bound",7015,250250],[4,16,"t","(5,5,3,1,1,1)",448448,13472,"lower bound",13472,448448],[4,16,"t","(5,5,3,2,1)",640640,13209,"lower bound",13209,640640],[4,16,"t","(5,5,3,3)",171600,2738,"lower bound",2738,171600],[4,16,"t","(5,5,4,1,1)",280280,5509,"lower bound",5509,280280],[4,16,"t","(5,5,4,2)",231660,3428,"lower bound",3428,231660],[4,16,"t","(5,5,5,1)",60060,910,"lower bound",910,60060],[4,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,9703,"lower bound",9703,24024],[4,16,"t","(6,2,2,1,1,1,1,1,1)",85800,19963,"lower bound",19963,85800],[4,16,"t","(6,2,2,2,1,1,1,1)",173250,25427,"lower bound",25427,173250],[4,16,"t","(6,2,2,2,2,1,1)",200200,20953,"lower bound",20953,200200],[4,16,"t","(6,2,2,2,2,2)",91728,8169,"lower bound",8169,91728],[4,16,"t","(6,3,1,1,1,1,1,1,1)",82368,19082,"lower bound",19082,82368],[4,16,"t","(6,3,2,1,1,1,1,1)",337920,39354,"lower bound",39354,337920],[4,16,"t","(6,3,2,2,1,1,1)",630630,39459,"lower bound",39459,630630],[4,16,"t","(6,3,2,2,2,1)",559104,25786,"lower bound",25786,559104],[4,16,"t","(6,3,3,1,1,1,1)",429000,23935,"lower bound",23935,429000],[4,16,"t","(6,3,3,2,1,1)",819000,24749,"lower bound",24749,819000],[4,16,"t","(6,3,3,2,2)",448448,13373,"lower bound",13373,448448],[4,16,"t","(6,3,3,3,1)",360360,8279,"lower bound",8279,360360],[4,16,"t","(6,4,1,1,1,1,1,1)",155232,21469,"lower bound",21469,155232],[4,16,"t","(6,4,2,1,1,1,1)",600600,35025,"lower bound",35025,600600],[4,16,"t","(6,4,2,2,1,1)",928746,26592,"lower bound",26592,928746],[4,16,"t","(6,4,2,2,2)",480480,12835,"lower bound",12835,480480],[4,16,"t","(6,4,3,1,1,1)",819000,22537,"lower bound",22537,819000],[4,16,"t","(6,4,3,2,1)",1153152,22304,"lower bound",22304,1153152],[4,16,"t","(6,4,3,3)",300300,4871,"lower bound",4871,300300],[4,16,"t","(6,4,4,1,1)",411840,7153,"lower bound",7153,411840],[4,16,"t","(6,4,4,2)",336336,4511,"lower bound",4511,336336],[4,16,"t","(6,5,1,1,1,1,1)",168168,12862,"lower bound",12862,168168],[4,16,"t","(6,5,2,1,1,1)",559104,15694,"lower bound",15694,559104],[4,16,"t","(6,5,2,2,1)",630630,11073,"lower bound",11073,630630],[4,16,"t","(6,5,3,1,1)",648648,10821,"lower bound",10821,648648],[4,16,"t","(6,5,3,2)",500500,6256,"lower bound",6256,500500],[4,16,"t","(6,5,4,1)",292864,3202,"lower bound",3202,292864],[4,16,"t","(6,5,5)",36036,495,"lower bound",495,36036],[4,16,"t","(6,6,1,1,1,1)",91728,3946,"lower bound",3946,91728],[4,16,"t","(6,6,2,1,1)",240240,4830,"lower bound",4830,240240],[4,16,"t","(6,6,2,2)",150150,2147,"lower bound",2147,150150],[4,16,"t","(6,6,3,1)",200200,2308,"lower bound",2308,200200],[4,16,"t","(6,6,4)",51480,660,"lower bound",660,51480],[4,16,"t","(7,2,1,1,1,1,1,1,1)",36608,9359,"lower bound",9359,36608],[4,16,"t","(7,2,2,1,1,1,1,1)",115830,16687,"lower bound",16687,115830],[4,16,"t","(7,2,2,2,1,1,1)",197120,17302,"lower bound",17302,197120],[4,16,"t","(7,2,2,2,2,1)",168168,11046,"lower bound",11046,168168],[4,16,"t","(7,3,1,1,1,1,1,1)",114400,15859,"lower bound",15859,114400],[4,16,"t","(7,3,2,1,1,1,1)",404250,26223,"lower bound",26223,404250],[4,16,"t","(7,3,2,2,1,1)",600600,20731,"lower bound",20731,600600],[4,16,"t","(7,3,2,2,2)",305760,9396,"lower bound",9396,305760],[4,16,"t","(7,3,3,1,1,1)",429000,12614,"lower bound",12614,429000],[4,16,"t","(7,3,3,2,1)",582400,11819,"lower bound",11819,582400],[4,16,"t","(7,3,3,3)",140140,2246,"lower bound",2246,140140],[4,16,"t","(7,4,1,1,1,1,1)",197120,14622,"lower bound",14622,197120],[4,16,"t","(7,4,2,1,1,1)",630630,17732,"lower bound",17732,630630],[4,16,"t","(7,4,2,2,1)",698880,12075,"lower bound",12075,698880],[4,16,"t","(7,4,3,1,1)",673920,10761,"lower bound",10761,673920],[4,16,"t","(7,4,3,2)",512512,5976,"lower bound",5976,512512],[4,16,"t","(7,4,4,1)",240240,2166,"lower bound",2166,240240],[4,16,"t","(7,5,1,1,1,1)",200200,7368,"lower bound",7368,200200],[4,16,"t","(7,5,2,1,1)",515970,7772,"lower bound",7772,515970],[4,16,"t","(7,5,2,2)",320320,3192,"lower bound",3192,320320],[4,16,"t","(7,5,3,1)",416988,3342,"lower bound",3342,416988],[4,16,"t","(7,5,4)",100100,1144,"lower bound",1144,100100],[4,16,"t","(7,6,1,1,1)",116480,2908,"lower bound",2908,116480],[4,16,"t","(7,6,2,1)",210210,2125,"lower bound",2125,210210],[4,16,"t","(7,6,3)",91520,902,"lower bound",902,91520],[4,16,"t","(7,7,1,1)",32032,373,"lower bound",373,32032],[4,16,"t","(7,7,2)",30030,203,"lower bound",203,30030],[4,16,"t","(8,2,1,1,1,1,1,1)",42042,7141,"lower bound",7141,42042],[4,16,"t","(8,2,2,1,1,1,1)",114400,9857,"lower bound",9857,114400],[4,16,"t","(8,2,2,2,1,1)",155232,7827,"lower bound",7827,155232],[4,16,"t","(8,2,2,2,2)",76440,3601,"lower bound",3601,76440],[4,16,"t","(8,3,1,1,1,1,1)",115830,9125,"lower bound",9125,115830],[4,16,"t","(8,3,2,1,1,1)",337920,10743,"lower bound",10743,337920],[4,16,"t","(8,3,2,2,1)",360360,7815,"lower bound",7815,360360],[4,16,"t","(8,3,3,1,1)",280280,5283,"lower bound",5283,280280],[4,16,"t","(8,3,3,2)",206388,3133,"lower bound",3133,206388],[4,16,"t","(8,4,1,1,1,1)",173250,5940,"lower bound",5940,173250],[4,16,"t","(8,4,2,1,1)",429000,6111,"lower bound",6111,429000],[4,16,"t","(8,4,2,2)",262080,2662,"lower bound",2662,262080],[4,16,"t","(8,4,3,1)",318500,2833,"lower bound",2833,318500],[4,16,"t","(8,4,4)",60060,565,"lower bound",565,60060],[4,16,"t","(8,5,1,1,1)",150150,2877,"lower bound",2877,150150],[4,16,"t","(8,5,2,1)",266240,1729,"lower bound",1729,266240],[4,16,"t","(8,5,3)",112112,938,"lower bound",938,112112],[4,16,"t","(8,6,1,1)",73710,787,"lower bound",787,73710],[4,16,"t","(8,6,2)",68640,407,"lower bound",407,68640],[4,16,"t","(9,2,1,1,1,1,1)",36608,4061,"lower bound",4061,36608],[4,16,"t","(9,2,2,1,1,1)",82368,3976,"lower bound",3976,82368],[4,16,"t","(9,2,2,2,1)",80640,2998,"lower bound",2998,80640],[4,16,"t","(9,3,1,1,1,1)",85800,3640,"lower bound",3640,85800],[4,16,"t","(9,3,2,1,1)",194040,4050,"lower bound",4050,194040],[4,16,"t","(9,3,2,2)",114660,1932,"lower bound",1932,114660],[4,16,"t","(9,3,3,1)",112112,1744,"lower bound",1744,112112],[4,16,"t","(9,4,1,1,1)",105600,2149,"lower bound",2149,105600],[4,16,"t","(9,4,2,1)",180180,1454,"lower bound",1454,180180],[4,16,"t","(9,4,3)",69888,506,"lower bound",506,69888],[4,16,"t","(9,5,1,1)",71500,690,"lower bound",690,71500],[4,16,"t","(9,5,2)",65520,343,"lower bound",343,65520],[4,16,"t","(9,6,1)",24960,89,"lower bound",89,24960],[4,17,"t","(17)",1,0,"exact",0,0],[4,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[4,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,17,"t","(16,1)",16,0,"exact",0,0],[4,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,116,"lower bound",116,118],[4,17,"t","(15,2)",119,0,"exact",0,0],[4,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,117,"lower bound",117,119],[4,17,"t","(15,1,1)",120,0,"exact",0,0],[4,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,504,"lower bound",504,537],[4,17,"t","(14,3)",544,120,"upper bound",0,120],[4,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,520,"lower bound",520,552],[4,17,"t","(14,1,1,1)",560,120,"upper bound",0,120],[4,17,"t","(14,2,1)",1105,240,"upper bound",0,240],[4,17,"t","(13,4)",1700,15,"lower bound",15,652],[4,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1572,"lower bound",1572,1789],[4,17,"t","(13,1,1,1,1)",1820,15,"lower bound",15,825],[4,17,"t","(13,2,2)",3536,30,"lower bound",30,1470],[4,17,"t","(12,5)",3808,71,"lower bound",71,1898],[4,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,3414,"lower bound",3414,4260],[4,17,"t","(12,1,1,1,1,1)",4368,226,"lower bound",226,2749],[4,17,"t","(9,8)",4862,108,"lower bound",108,3096],[4,17,"t","(13,3,1)",5236,45,"lower bound",45,2118],[4,17,"t","(13,2,1,1)",5355,45,"lower bound",45,2273],[4,17,"t","(11,6)",6188,149,"lower bound",149,3559],[4,17,"t","(10,7)",7072,171,"lower bound",171,4366],[4,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,4727,"lower bound",4727,7981],[4,17,"t","(11,1,1,1,1,1,1)",8008,739,"lower bound",739,6071],[4,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,4745,"lower bound",4745,10999],[4,17,"t","(10,1,1,1,1,1,1,1)",11440,1940,"lower bound",1940,9727],[4,17,"t","(9,1,1,1,1,1,1,1,1)",12870,3690,"lower bound",3690,11677],[4,17,"t","(12,4,1)",15912,117,"lower bound",117,8400],[4,17,"t","(12,2,1,1,1)",17017,268,"lower bound",268,10055],[4,17,"t","(8,8,1)",19448,96,"lower bound",96,13620],[4,17,"t","(10,2,1,1,1,1,1)",65637,5939,"lower bound",5939,65637],[4,17,"t","(10,2,2,1,1,1)",148512,6566,"lower bound",6566,148512],[4,17,"t","(10,2,2,2,1)",145860,4775,"lower bound",4775,145860],[4,17,"t","(10,3,1,1,1,1)",155584,6131,"lower bound",6131,155584],[4,17,"t","(10,3,2,1,1)",353600,7387,"lower bound",7387,353600],[4,17,"t","(10,3,2,2)",209440,3425,"lower bound",3425,209440],[4,17,"t","(10,3,3,1)",205632,2870,"lower bound",2870,205632],[4,17,"t","(10,4,1,1,1)",194480,3703,"lower bound",3703,194480],[4,17,"t","(10,4,2,1)",333200,3048,"lower bound",3048,333200],[4,17,"t","(10,4,3)",129948,901,"lower bound",901,129948],[4,17,"t","(10,5,1,1)",134640,1191,"lower bound",1191,134640],[4,17,"t","(10,5,2)",123760,656,"lower bound",656,123760],[4,17,"t","(10,6,1)",48620,270,"lower bound",270,48620],[4,17,"t","(11,2,1,1,1,1)",38675,1769,"lower bound",1769,38675],[4,17,"t","(11,2,2,1,1)",68068,1621,"lower bound",1621,68068],[4,17,"t","(11,2,2,2)",37400,710,"lower bound",710,37400],[4,17,"t","(11,3,1,1,1)",74256,1500,"lower bound",1500,74256],[4,17,"t","(11,3,2,1)",116688,1375,"lower bound",1375,116688],[4,17,"t","(11,3,3)",35700,265,"lower bound",265,35700],[4,17,"t","(11,4,1,1)",70720,621,"lower bound",621,70720],[4,17,"t","(11,4,2)",62832,377,"lower bound",377,62832],[4,17,"t","(11,5,1)",33320,201,"lower bound",201,33320],[4,17,"t","(12,2,2,1)",20944,248,"lower bound",248,20944],[4,17,"t","(12,3,1,1)",24752,241,"lower bound",241,24752],[4,17,"t","(12,3,2)",20400,170,"lower bound",170,20400],[4,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1473,"lower bound",1473,1700],[4,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3055,"lower bound",3055,3808],[4,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,4574,"lower bound",4574,6188],[4,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,4834,"lower bound",4834,7072],[4,17,"t","(2,2,2,2,2,2,2,2,1)",4862,3134,"lower bound",3134,4862],[4,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1027,"lower bound",1027,1105],[4,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,4550,"lower bound",4550,5236],[4,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,11199,"lower bound",11199,15912],[4,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,17995,"lower bound",17995,33320],[4,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,20781,"lower bound",20781,48620],[4,17,"t","(3,2,2,2,2,2,2,1,1)",46410,17543,"lower bound",17543,46410],[4,17,"t","(3,2,2,2,2,2,2,2)",19448,7199,"lower bound",7199,19448],[4,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3079,"lower bound",3079,3536],[4,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,13197,"lower bound",13197,20400],[4,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,30139,"lower bound",30139,62832],[4,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,44155,"lower bound",44155,123760],[4,17,"t","(3,3,2,2,2,2,1,1,1)",159120,44227,"lower bound",44227,159120],[4,17,"t","(3,3,2,2,2,2,2,1)",116688,28587,"lower bound",28587,116688],[4,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,15972,"lower bound",15972,35700],[4,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,43446,"lower bound",43446,129948],[4,17,"t","(3,3,3,2,2,1,1,1,1)",247520,60796,"lower bound",60796,247520],[4,17,"t","(3,3,3,2,2,2,1,1)",272272,52428,"lower bound",52428,272272],[4,17,"t","(3,3,3,2,2,2,2)",121550,20521,"lower bound",20521,121550],[4,17,"t","(3,3,3,3,1,1,1,1,1)",129948,30514,"lower bound",30514,129948],[4,17,"t","(3,3,3,3,2,1,1,1)",272272,46214,"lower bound",46214,272272],[4,17,"t","(3,3,3,3,2,2,1)",243100,33013,"lower bound",33013,243100],[4,17,"t","(3,3,3,3,3,1,1)",136136,16488,"lower bound",16488,136136],[4,17,"t","(3,3,3,3,3,2)",87516,9457,"lower bound",9457,87516],[4,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,4649,"lower bound",4649,5355],[4,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,15957,"lower bound",15957,24752],[4,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,33582,"lower bound",33582,70720],[4,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,47644,"lower bound",47644,134640],[4,17,"t","(4,2,2,2,2,2,1,1,1)",170170,46946,"lower bound",46946,170170],[4,17,"t","(4,2,2,2,2,2,2,1)",123760,30007,"lower bound",30007,123760],[4,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,13427,"lower bound",13427,20944],[4,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,49375,"lower bound",49375,116688],[4,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,99598,"lower bound",99598,333200],[4,17,"t","(4,3,2,2,2,1,1,1,1)",583440,123643,"lower bound",123643,583440],[4,17,"t","(4,3,2,2,2,2,1,1)",618800,99731,"lower bound",99731,618800],[4,17,"t","(4,3,2,2,2,2,2)",272272,37623,"lower bound",37623,272272],[4,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,57170,"lower bound",57170,205632],[4,17,"t","(4,3,3,2,1,1,1,1,1)",680680,127007,"lower bound",127007,680680],[4,17,"t","(4,3,3,2,2,1,1,1)",1113840,142521,"lower bound",142521,1113840],[4,17,"t","(4,3,3,2,2,2,1)",918918,89706,"lower bound",89706,918918],[4,17,"t","(4,3,3,3,1,1,1,1)",618800,71249,"lower bound",71249,618800],[4,17,"t","(4,3,3,3,2,1,1)",1050192,83721,"lower bound",83721,1050192],[4,17,"t","(4,3,3,3,2,2)",544544,36536,"lower bound",36536,544544],[4,17,"t","(4,3,3,3,3,1)",388960,23421,"lower bound",23421,388960],[4,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,16316,"lower bound",16316,37400],[4,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,57507,"lower bound",57507,209440],[4,17,"t","(4,4,2,2,1,1,1,1,1)",556920,97614,"lower bound",97614,556920],[4,17,"t","(4,4,2,2,2,1,1,1)",848640,99343,"lower bound",99343,848640],[4,17,"t","(4,4,2,2,2,2,1)",680680,59850,"lower bound",59850,680680],[4,17,"t","(4,4,3,1,1,1,1,1,1)",433160,73618,"lower bound",73618,433160],[4,17,"t","(4,4,3,2,1,1,1,1)",1299480,134898,"lower bound",134898,1299480],[4,17,"t","(4,4,3,2,2,1,1)",1750320,122249,"lower bound",122249,1750320],[4,17,"t","(4,4,3,2,2,2)",850850,48571,"lower bound",48571,850850],[4,17,"t","(4,4,3,3,1,1,1)",1089088,67858,"lower bound",67858,1089088],[4,17,"t","(4,4,3,3,2,1)",1361360,64752,"lower bound",64752,1361360],[4,17,"t","(4,4,3,3,3)",291720,13230,"lower bound",13230,291720],[4,17,"t","(4,4,4,1,1,1,1,1)",346528,36050,"lower bound",36050,346528],[4,17,"t","(4,4,4,2,1,1,1)",952952,58914,"lower bound",58914,952952],[4,17,"t","(4,4,4,2,2,1)",972400,43707,"lower bound",43707,972400],[4,17,"t","(4,4,4,3,1,1)",816816,32870,"lower bound",32870,816816],[4,17,"t","(4,4,4,3,2)",583440,22444,"lower bound",22444,583440],[4,17,"t","(4,4,4,4,1)",204204,7430,"lower bound",7430,204204],[4,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,11481,"lower bound",11481,17017],[4,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,33059,"lower bound",33059,74256],[4,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,60374,"lower bound",60374,194480],[4,17,"t","(5,2,2,2,2,1,1,1,1)",327250,73037,"lower bound",73037,327250],[4,17,"t","(5,2,2,2,2,2,1,1)",340340,59301,"lower bound",59301,340340],[4,17,"t","(5,2,2,2,2,2,2)",148512,22631,"lower bound",22631,148512],[4,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,30275,"lower bound",30275,68068],[4,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,96893,"lower bound",96893,353600],[4,17,"t","(5,3,2,2,1,1,1,1,1)",908820,157761,"lower bound",157761,908820],[4,17,"t","(5,3,2,2,2,1,1,1)",1361360,160139,"lower bound",160139,1361360],[4,17,"t","(5,3,2,2,2,2,1)",1082900,98195,"lower bound",98195,1082900],[4,17,"t","(5,3,3,1,1,1,1,1,1)",586432,94107,"lower bound",94107,586432],[4,17,"t","(5,3,3,2,1,1,1,1)",1701700,163210,"lower bound",163210,1701700],[4,17,"t","(5,3,3,2,2,1,1)",2255526,146313,"lower bound",146313,2255526],[4,17,"t","(5,3,3,2,2,2)",1089088,58992,"lower bound",58992,1089088],[4,17,"t","(5,3,3,3,1,1,1)",1326000,72053,"lower bound",72053,1326000],[4,17,"t","(5,3,3,3,2,1)",1633632,68726,"lower bound",68726,1633632],[4,17,"t","(5,3,3,3,3)",340340,13627,"lower bound",13627,340340],[4,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,43066,"lower bound",43066,145860],[4,17,"t","(5,4,2,1,1,1,1,1,1)",749700,123410,"lower bound",123410,749700],[4,17,"t","(5,4,2,2,1,1,1,1)",1750320,164028,"lower bound",164028,1750320],[4,17,"t","(5,4,2,2,2,1,1)",2165800,134487,"lower bound",134487,2165800],[4,17,"t","(5,4,2,2,2,2)",1021020,52514,"lower bound",52514,1021020],[4,17,"t","(5,4,3,1,1,1,1,1)",1429428,131319,"lower bound",131319,1429428],[4,17,"t","(5,4,3,2,1,1,1)",3620864,188473,"lower bound",188473,3620864],[4,17,"t","(5,4,3,2,2,1)",3573570,136793,"lower bound",136793,3573570],[4,17,"t","(5,4,3,3,1,1)",2450448,78114,"lower bound",78114,2450448],[4,17,"t","(5,4,3,3,2)",1701700,53043,"lower bound",53043,1701700],[4,17,"t","(5,4,4,1,1,1,1)",1082900,57300,"lower bound",57300,1082900],[4,17,"t","(5,4,4,2,1,1)",2362932,73380,"lower bound",73380,2362932],[4,17,"t","(5,4,4,2,2)",1361360,38535,"lower bound",38535,1361360],[4,17,"t","(5,4,4,3,1)",1458600,35316,"lower bound",35316,1458600],[4,17,"t","(5,4,4,4)",204204,4951,"lower bound",4951,204204],[4,17,"t","(5,5,1,1,1,1,1,1,1)",157080,29744,"lower bound",29744,157080],[4,17,"t","(5,5,2,1,1,1,1,1)",742560,69804,"lower bound",69804,742560],[4,17,"t","(5,5,2,2,1,1,1)",1485120,73460,"lower bound",73460,1485120],[4,17,"t","(5,5,2,2,2,1)",1361360,48061,"lower bound",48061,1361360],[4,17,"t","(5,5,3,1,1,1,1)",1336608,66644,"lower bound",66644,1336608],[4,17,"t","(5,5,3,2,1,1)",2722720,77921,"lower bound",77921,2722720],[4,17,"t","(5,5,3,2,2)",1531530,40174,"lower bound",40174,1531530],[4,17,"t","(5,5,3,3,1)",1361360,29209,"lower bound",29209,1361360],[4,17,"t","(5,5,4,1,1,1)",1089088,30751,"lower bound",30751,1089088],[4,17,"t","(5,5,4,2,1)",1701700,34229,"lower bound",34229,1701700],[4,17,"t","(5,5,4,3)",583440,9912,"lower bound",9912,583440],[4,17,"t","(5,5,5,1,1)",340340,6419,"lower bound",6419,340340],[4,17,"t","(5,5,5,2)",291720,4338,"lower bound",4338,291720],[4,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,18883,"lower bound",18883,38675],[4,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,46578,"lower bound",46578,155584],[4,17,"t","(6,2,2,2,1,1,1,1,1)",364650,71303,"lower bound",71303,364650],[4,17,"t","(6,2,2,2,2,1,1,1)",523600,72613,"lower bound",72613,523600],[4,17,"t","(6,2,2,2,2,2,1)",408408,45123,"lower bound",45123,408408],[4,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,44375,"lower bound",44375,148512],[4,17,"t","(6,3,2,1,1,1,1,1,1)",700128,118026,"lower bound",118026,700128],[4,17,"t","(6,3,2,2,1,1,1,1)",1570800,154890,"lower bound",154890,1570800],[4,17,"t","(6,3,2,2,2,1,1)",1905904,127510,"lower bound",127510,1905904],[4,17,"t","(6,3,2,2,2,2)",891072,50119,"lower bound",50119,891072],[4,17,"t","(6,3,3,1,1,1,1,1)",1047200,93716,"lower bound",93716,1047200],[4,17,"t","(6,3,3,2,1,1,1)",2552550,128272,"lower bound",128272,2552550],[4,17,"t","(6,3,3,2,2,1)",2475200,92387,"lower bound",92387,2475200],[4,17,"t","(6,3,3,3,1,1)",1591200,46842,"lower bound",46842,1591200],[4,17,"t","(6,3,3,3,2)",1089088,31766,"lower bound",31766,1089088],[4,17,"t","(6,4,1,1,1,1,1,1,1)",318240,59476,"lower bound",59476,318240],[4,17,"t","(6,4,2,1,1,1,1,1)",1454112,136514,"lower bound",136514,1454112],[4,17,"t","(6,4,2,2,1,1,1)",2858856,141937,"lower bound",141937,2858856],[4,17,"t","(6,4,2,2,2,1)",2598960,91979,"lower bound",91979,2598960],[4,17,"t","(6,4,3,1,1,1,1)",2431000,116350,"lower bound",116350,2431000],[4,17,"t","(6,4,3,2,1,1)",4873050,133142,"lower bound",133142,4873050],[4,17,"t","(6,4,3,2,2)",2722720,68462,"lower bound",68462,2722720],[4,17,"t","(6,4,3,3,1)",2362932,48716,"lower bound",48716,2362932],[4,17,"t","(6,4,4,1,1,1)",1591200,41460,"lower bound",41460,1591200],[4,17,"t","(6,4,4,2,1)",2450448,46051,"lower bound",46051,2450448],[4,17,"t","(6,4,4,3)",816816,13128,"lower bound",13128,816816],[4,17,"t","(6,5,1,1,1,1,1,1)",399840,45150,"lower bound",45150,399840],[4,17,"t","(6,5,2,1,1,1,1)",1633632,81900,"lower bound",81900,1633632],[4,17,"t","(6,5,2,2,1,1)",2598960,67639,"lower bound",67639,2598960],[4,17,"t","(6,5,2,2,2)",1361360,30923,"lower bound",30923,1361360],[4,17,"t","(6,5,3,1,1,1)",2475200,62524,"lower bound",62524,2475200],[4,17,"t","(6,5,3,2,1)",3573570,63663,"lower bound",63663,3573570],[4,17,"t","(6,5,3,3)",972400,13865,"lower bound",13865,972400],[4,17,"t","(6,5,4,1,1)",1633632,26685,"lower bound",26685,1633632],[4,17,"t","(6,5,4,2)",1361360,17397,"lower bound",17397,1361360],[4,17,"t","(6,5,5,1)",388960,4607,"lower bound",4607,388960],[4,17,"t","(6,6,1,1,1,1,1)",259896,16808,"lower bound",16808,259896],[4,17,"t","(6,6,2,1,1,1)",891072,24470,"lower bound",24470,891072],[4,17,"t","(6,6,2,2,1)",1021020,18050,"lower bound",18050,1021020],[4,17,"t","(6,6,3,1,1)",1089088,17959,"lower bound",17959,1089088],[4,17,"t","(6,6,3,2)",850850,10711,"lower bound",10711,850850],[4,17,"t","(6,6,4,1)",544544,6170,"lower bound",6170,544544],[4,17,"t","(6,6,5)",87516,1155,"lower bound",1155,87516],[4,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,21529,"lower bound",21529,65637],[4,17,"t","(7,2,2,1,1,1,1,1,1)",238238,46009,"lower bound",46009,238238],[4,17,"t","(7,2,2,2,1,1,1,1)",486200,59416,"lower bound",59416,486200],[4,17,"t","(7,2,2,2,2,1,1)",565488,49301,"lower bound",49301,565488],[4,17,"t","(7,2,2,2,2,2)",259896,19215,"lower bound",19215,259896],[4,17,"t","(7,3,1,1,1,1,1,1,1)",233376,44300,"lower bound",44300,233376],[4,17,"t","(7,3,2,1,1,1,1,1)",972400,98123,"lower bound",98123,972400],[4,17,"t","(7,3,2,2,1,1,1)",1832600,103715,"lower bound",103715,1832600],[4,17,"t","(7,3,2,2,2,1)",1633632,66959,"lower bound",66959,1633632],[4,17,"t","(7,3,3,1,1,1,1)",1262250,62772,"lower bound",62772,1262250],[4,17,"t","(7,3,3,2,1,1)",2431000,69913,"lower bound",69913,2431000],[4,17,"t","(7,3,3,2,2)",1336608,34588,"lower bound",34588,1336608],[4,17,"t","(7,3,3,3,1)",1082900,22344,"lower bound",22344,1082900],[4,17,"t","(7,4,1,1,1,1,1,1)",466752,51950,"lower bound",51950,466752],[4,17,"t","(7,4,2,1,1,1,1)",1832600,93602,"lower bound",93602,1832600],[4,17,"t","(7,4,2,2,1,1)",2858856,77130,"lower bound",77130,2858856],[4,17,"t","(7,4,2,2,2)",1485120,34306,"lower bound",34306,1485120],[4,17,"t","(7,4,3,1,1,1)",2552550,63644,"lower bound",63644,2552550],[4,17,"t","(7,4,3,2,1)",3620864,62935,"lower bound",62935,3620864],[4,17,"t","(7,4,3,3)",952952,13093,"lower bound",13093,952952],[4,17,"t","(7,4,4,1,1)",1326000,20080,"lower bound",20080,1326000],[4,17,"t","(7,4,4,2)",1089088,12653,"lower bound",12653,1089088],[4,17,"t","(7,5,1,1,1,1,1)",565488,34852,"lower bound",34852,565488],[4,17,"t","(7,5,2,1,1,1)",1905904,48566,"lower bound",48566,1905904],[4,17,"t","(7,5,2,2,1)",2165800,34112,"lower bound",34112,2165800],[4,17,"t","(7,5,3,1,1)",2255526,32696,"lower bound",32696,2255526],[4,17,"t","(7,5,3,2)",1750320,18766,"lower bound",18766,1750320],[4,17,"t","(7,5,4,1)",1050192,9854,"lower bound",9854,1050192],[4,17,"t","(7,5,5)",136136,1639,"lower bound",1639,136136],[4,17,"t","(7,6,1,1,1,1)",408408,14222,"lower bound",14222,408408],[4,17,"t","(7,6,2,1,1)",1082900,17635,"lower bound",17635,1082900],[4,17,"t","(7,6,2,2)",680680,7464,"lower bound",7464,680680],[4,17,"t","(7,6,3,1)",918918,8677,"lower bound",8677,918918],[4,17,"t","(7,6,4)",243100,2706,"lower bound",2706,243100],[4,17,"t","(7,7,1,1,1)",148512,3281,"lower bound",3281,148512],[4,17,"t","(7,7,2,1)",272272,2701,"lower bound",2701,272272],[4,17,"t","(7,7,3)",121550,1105,"lower bound",1105,121550],[4,17,"t","(8,2,1,1,1,1,1,1,1)",85085,18778,"lower bound",18778,85085],[4,17,"t","(8,2,2,1,1,1,1,1)",272272,33685,"lower bound",33685,272272],[4,17,"t","(8,2,2,2,1,1,1)",466752,34986,"lower bound",34986,466752],[4,17,"t","(8,2,2,2,2,1)",399840,22474,"lower bound",22474,399840],[4,17,"t","(8,3,1,1,1,1,1,1)",272272,32125,"lower bound",32125,272272],[4,17,"t","(8,3,2,1,1,1,1)",972400,55948,"lower bound",55948,972400],[4,17,"t","(8,3,2,2,1,1)",1454112,47116,"lower bound",47116,1454112],[4,17,"t","(8,3,2,2,2)",742560,20812,"lower bound",20812,742560],[4,17,"t","(8,3,3,1,1,1)",1047200,28640,"lower bound",28640,1047200],[4,17,"t","(8,3,3,2,1)",1429428,28050,"lower bound",28050,1429428],[4,17,"t","(8,3,3,3)",346528,5379,"lower bound",5379,346528],[4,17,"t","(8,4,1,1,1,1,1)",486200,29687,"lower bound",29687,486200],[4,17,"t","(8,4,2,1,1,1)",1570800,40526,"lower bound",40526,1570800],[4,17,"t","(8,4,2,2,1)",1750320,28663,"lower bound",28663,1750320],[4,17,"t","(8,4,3,1,1)",1701700,24988,"lower bound",24988,1701700],[4,17,"t","(8,4,3,2)",1299480,14604,"lower bound",14604,1299480],[4,17,"t","(8,4,4,1)",618800,5564,"lower bound",5564,618800],[4,17,"t","(8,5,1,1,1,1)",523600,16185,"lower bound",16185,523600],[4,17,"t","(8,5,2,1,1)",1361360,18489,"lower bound",18489,1361360],[4,17,"t","(8,5,2,2)",848640,7583,"lower bound",7583,848640],[4,17,"t","(8,5,3,1)",1113840,8842,"lower bound",8842,1113840],[4,17,"t","(8,5,4)",272272,2647,"lower bound",2647,272272],[4,17,"t","(8,6,1,1,1)",340340,6572,"lower bound",6572,340340],[4,17,"t","(8,6,2,1)",618800,5048,"lower bound",5048,618800],[4,17,"t","(8,6,3)",272272,2247,"lower bound",2247,272272],[4,17,"t","(8,7,1,1)",123760,1226,"lower bound",1226,123760],[4,17,"t","(8,7,2)",116688,676,"lower bound",676,116688],[4,17,"t","(9,2,1,1,1,1,1,1)",85085,12614,"lower bound",12614,85085],[4,17,"t","(9,2,2,1,1,1,1)",233376,17894,"lower bound",17894,233376],[4,17,"t","(9,2,2,2,1,1)",318240,14801,"lower bound",14801,318240],[4,17,"t","(9,2,2,2,2)",157080,6599,"lower bound",6599,157080],[4,17,"t","(9,3,1,1,1,1,1)",238238,16826,"lower bound",16826,238238],[4,17,"t","(9,3,2,1,1,1)",700128,22409,"lower bound",22409,700128],[4,17,"t","(9,3,2,2,1)",749700,16795,"lower bound",16795,749700],[4,17,"t","(9,3,3,1,1)",586432,11077,"lower bound",11077,586432],[4,17,"t","(9,3,3,2)",433160,6809,"lower bound",6809,433160],[4,17,"t","(9,4,1,1,1,1)",364650,11729,"lower bound",11729,364650],[4,17,"t","(9,4,2,1,1)",908820,13764,"lower bound",13764,908820],[4,17,"t","(9,4,2,2)",556920,6048,"lower bound",6048,556920],[4,17,"t","(9,4,3,1)",680680,6537,"lower bound",6537,680680],[4,17,"t","(9,4,4)",129948,1071,"lower bound",1071,129948],[4,17,"t","(9,5,1,1,1)",327250,5716,"lower bound",5716,327250],[4,17,"t","(9,5,2,1)",583440,4216,"lower bound",4216,583440],[4,17,"t","(9,5,3)",247520,1787,"lower bound",1787,247520],[4,17,"t","(9,6,1,1)",170170,1566,"lower bound",1566,170170],[4,17,"t","(9,6,2)",159120,839,"lower bound",839,159120],[4,17,"t","(9,7,1)",46410,233,"lower bound",233,46410],[4,18,"t","(18)",1,0,"exact",0,0],[4,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[4,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[4,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[4,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,18,"t","(17,1)",17,0,"exact",0,0],[4,18,"t","(16,2)",135,0,"exact",0,0],[4,18,"t","(16,1,1)",136,0,"exact",0,0],[4,18,"t","(15,3)",663,165,"upper bound",0,165],[4,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,637,"lower bound",637,677],[4,18,"t","(15,1,1,1)",680,165,"upper bound",0,165],[4,18,"t","(15,2,1)",1344,330,"upper bound",0,330],[4,18,"t","(14,4)",2244,15,"lower bound",15,969],[4,18,"t","(14,1,1,1,1)",2380,15,"lower bound",15,1190],[4,18,"t","(14,2,2)",4641,30,"lower bound",30,2155],[4,18,"t","(9,9)",4862,108,"lower bound",108,3511],[4,18,"t","(13,5)",5508,86,"lower bound",86,3099],[4,18,"t","(13,1,1,1,1,1)",6188,241,"lower bound",241,4217],[4,18,"t","(14,3,1)",6885,45,"lower bound",45,3127],[4,18,"t","(14,2,1,1)",7020,45,"lower bound",45,3331],[4,18,"t","(12,6)",9996,220,"lower bound",220,6391],[4,18,"t","(10,8)",11934,279,"lower bound",279,8506],[4,18,"t","(12,1,1,1,1,1,1)",12376,965,"lower bound",965,9972],[4,18,"t","(11,7)",13260,320,"lower bound",320,9099],[4,18,"t","(11,1,1,1,1,1,1,1)",19448,2679,"lower bound",2679,17267],[4,18,"t","(10,1,1,1,1,1,1,1,1)",24310,5630,"lower bound",5630,24310],[4,18,"t","(10,2,1,1,1,1,1,1)",162162,20493,"lower bound",20493,162162],[4,18,"t","(10,2,2,1,1,1,1)",447525,30399,"lower bound",30399,447525],[4,18,"t","(10,2,2,2,1,1)",612612,26142,"lower bound",26142,612612],[4,18,"t","(10,2,2,2,2)",302940,11374,"lower bound",11374,302940],[4,18,"t","(10,3,1,1,1,1,1)",459459,28896,"lower bound",28896,459459],[4,18,"t","(10,3,2,1,1,1)",1357824,42493,"lower bound",42493,1357824],[4,18,"t","(10,3,2,2,1)",1458600,32382,"lower bound",32382,1458600],[4,18,"t","(10,3,3,1,1)",1145664,21334,"lower bound",21334,1145664],[4,18,"t","(10,3,3,2)",848232,13104,"lower bound",13104,848232],[4,18,"t","(10,4,1,1,1,1)",714714,21563,"lower bound",21563,714714],[4,18,"t","(10,4,2,1,1)",1790100,27902,"lower bound",27902,1790100],[4,18,"t","(10,4,2,2)",1099560,12521,"lower bound",12521,1099560],[4,18,"t","(10,4,3,1)",1349460,13356,"lower bound",13356,1349460],[4,18,"t","(10,4,4)",259896,1972,"lower bound",1972,259896],[4,18,"t","(10,5,1,1,1)",656370,10610,"lower bound",10610,656370],[4,18,"t","(10,5,2,1)",1175040,9111,"lower bound",9111,1175040],[4,18,"t","(10,5,3)",501228,3344,"lower bound",3344,501228],[4,18,"t","(10,6,1,1)",353430,3027,"lower bound",3027,353430],[4,18,"t","(10,6,2)",331500,1765,"lower bound",1765,331500],[4,18,"t","(10,7,1)",102102,674,"lower bound",674,102102],[4,18,"t","(11,2,1,1,1,1,1)",112320,8447,"lower bound",8447,112320],[4,18,"t","(11,2,2,1,1,1)",255255,9956,"lower bound",9956,255255],[4,18,"t","(11,2,2,2,1)",251328,7106,"lower bound",7106,251328],[4,18,"t","(11,3,1,1,1,1)",268515,9400,"lower bound",9400,268515],[4,18,"t","(11,3,2,1,1)",612612,11883,"lower bound",11883,612612],[4,18,"t","(11,3,2,2)",363528,5510,"lower bound",5510,363528],[4,18,"t","(11,3,3,1)",358020,4510,"lower bound",4510,358020],[4,18,"t","(11,4,1,1,1)",339456,5824,"lower bound",5824,339456],[4,18,"t","(11,4,2,1)",583440,5421,"lower bound",5421,583440],[4,18,"t","(11,4,3)",228480,1543,"lower bound",1543,228480],[4,18,"t","(11,5,1,1)",238680,2013,"lower bound",2013,238680],[4,18,"t","(11,5,2)",219912,1234,"lower bound",1234,219912],[4,18,"t","(11,6,1)",88128,620,"lower bound",620,88128],[4,18,"t","(12,2,1,1,1,1)",60060,2263,"lower bound",2263,60060],[4,18,"t","(12,2,2,1,1)",106029,2137,"lower bound",2137,106029],[4,18,"t","(12,2,2,2)",58344,958,"lower bound",958,58344],[4,18,"t","(12,3,1,1,1)",116025,2009,"lower bound",2009,116025],[4,18,"t","(12,3,2,1)",182784,2034,"lower bound",2034,182784],[4,18,"t","(12,3,3)",56100,435,"lower bound",435,56100],[4,18,"t","(12,4,1,1)",111384,979,"lower bound",979,111384],[4,18,"t","(12,4,2)",99144,664,"lower bound",664,99144],[4,18,"t","(12,5,1)",53040,389,"lower bound",389,53040],[4,18,"t","(13,2,1,1,1)",24192,328,"lower bound",328,24192],[4,18,"t","(13,2,2,1)",29835,323,"lower bound",323,29835],[4,18,"t","(13,3,1,1)",35343,331,"lower bound",331,35343],[4,18,"t","(13,3,2)",29172,245,"lower bound",245,29172],[4,18,"t","(13,4,1)",22848,177,"lower bound",177,22848],[4,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,620,"lower bound",620,663],[4,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,1977,"lower bound",1977,2244],[4,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,4528,"lower bound",4528,5508],[4,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,7629,"lower bound",7629,9996],[4,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,9408,"lower bound",9408,13260],[4,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,7968,"lower bound",7968,11934],[4,18,"t","(2,2,2,2,2,2,2,2,2)",4862,3134,"lower bound",3134,4862],[4,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1260,"lower bound",1260,1344],[4,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6081,"lower bound",6081,6885],[4,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,17222,"lower bound",17222,22848],[4,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,32249,"lower bound",32249,53040],[4,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,43350,"lower bound",43350,88128],[4,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,43158,"lower bound",43158,102102],[4,18,"t","(3,2,2,2,2,2,2,2,1)",70720,27876,"lower bound",27876,70720],[4,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4106,"lower bound",4106,4641],[4,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,20826,"lower bound",20826,29172],[4,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,54535,"lower bound",54535,99144],[4,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,92289,"lower bound",92289,219912],[4,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,109163,"lower bound",109163,331500],[4,18,"t","(3,3,2,2,2,2,2,1,1)",322218,90357,"lower bound",90357,322218],[4,18,"t","(3,3,2,2,2,2,2,2)",136136,35786,"lower bound",35786,136136],[4,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,29169,"lower bound",29169,56100],[4,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,89557,"lower bound",89557,228480],[4,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,148397,"lower bound",148397,501228],[4,18,"t","(3,3,3,2,2,2,1,1,1)",678912,157451,"lower bound",157451,678912],[4,18,"t","(3,3,3,2,2,2,2,1)",510510,101536,"lower bound",101536,510510],[4,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,73960,"lower bound",73960,259896],[4,18,"t","(3,3,3,3,2,1,1,1,1)",649740,137524,"lower bound",137524,649740],[4,18,"t","(3,3,3,3,2,2,1,1)",787644,131655,"lower bound",131655,787644],[4,18,"t","(3,3,3,3,2,2,2)",364650,53534,"lower bound",53534,364650],[4,18,"t","(3,3,3,3,3,1,1,1)",408408,62702,"lower bound",62702,408408],[4,18,"t","(3,3,3,3,3,2,1)",466752,58958,"lower bound",58958,466752],[4,18,"t","(3,3,3,3,3,3)",87516,9457,"lower bound",9457,87516],[4,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,6196,"lower bound",6196,7020],[4,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,25156,"lower bound",25156,35343],[4,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,60738,"lower bound",60738,111384],[4,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,99221,"lower bound",99221,238680],[4,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,115371,"lower bound",115371,353430],[4,18,"t","(4,2,2,2,2,2,2,1,1)",340340,94496,"lower bound",94496,340340],[4,18,"t","(4,2,2,2,2,2,2,2)",143208,37206,"lower bound",37206,143208],[4,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,21155,"lower bound",21155,29835],[4,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,91956,"lower bound",91956,182784],[4,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,212694,"lower bound",212694,583440],[4,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,315040,"lower bound",315040,1175040],[4,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,314547,"lower bound",314547,1531530],[4,18,"t","(4,3,2,2,2,2,2,1)",1131520,195948,"lower bound",195948,1131520],[4,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,122517,"lower bound",122517,358020],[4,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,327221,"lower bound",327221,1349460],[4,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,453967,"lower bound",453967,2625480],[4,18,"t","(4,3,3,2,2,2,1,1)",2923830,384386,"lower bound",384386,2923830],[4,18,"t","(4,3,3,2,2,2,2)",1312740,147850,"lower bound",147850,1312740],[4,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,228770,"lower bound",228770,1429428],[4,18,"t","(4,3,3,3,2,1,1,1)",3055104,343705,"lower bound",343705,3055104],[4,18,"t","(4,3,3,3,2,2,1)",2756754,242976,"lower bound",242976,2756754],[4,18,"t","(4,3,3,3,3,1,1)",1575288,123630,"lower bound",123630,1575288],[4,18,"t","(4,3,3,3,3,2)",1021020,69414,"lower bound",69414,1021020],[4,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,29743,"lower bound",29743,58344],[4,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,123198,"lower bound",123198,363528],[4,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,254719,"lower bound",254719,1099560],[4,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,320600,"lower bound",320600,1989000],[4,18,"t","(4,4,2,2,2,2,1,1)",2148120,258924,"lower bound",258924,2148120],[4,18,"t","(4,4,2,2,2,2,2)",952952,97473,"lower bound",97473,952952],[4,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,188295,"lower bound",188295,848232],[4,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,433137,"lower bound",433137,2970240],[4,18,"t","(4,4,3,2,2,1,1,1)",5012280,499011,"lower bound",499011,5012280],[4,18,"t","(4,4,3,2,2,2,1)",4200768,320376,"lower bound",320376,4200768],[4,18,"t","(4,4,3,3,1,1,1,1)",3007368,274005,"lower bound",274005,3007368],[4,18,"t","(4,4,3,3,2,1,1)",5250960,338580,"lower bound",338580,5250960],[4,18,"t","(4,4,3,3,2,2)",2756754,149859,"lower bound",149859,2756754],[4,18,"t","(4,4,3,3,3,1)",2042040,101403,"lower bound",101403,2042040],[4,18,"t","(4,4,4,1,1,1,1,1,1)",779688,109668,"lower bound",109668,779688],[4,18,"t","(4,4,4,2,1,1,1,1)",2598960,229862,"lower bound",229862,2598960],[4,18,"t","(4,4,4,2,2,1,1)",3675672,224870,"lower bound",224870,3675672],[4,18,"t","(4,4,4,2,2,2)",1823250,92278,"lower bound",92278,1823250],[4,18,"t","(4,4,4,3,1,1,1)",2858856,159642,"lower bound",159642,2858856],[4,18,"t","(4,4,4,3,2,1)",3734016,163773,"lower bound",163773,3734016],[4,18,"t","(4,4,4,3,3)",875160,35674,"lower bound",35674,875160],[4,18,"t","(4,4,4,4,1,1)",1021020,40300,"lower bound",40300,1021020],[4,18,"t","(4,4,4,4,2)",787644,29874,"lower bound",29874,787644],[4,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2092,"lower bound",2092,2380],[4,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,17702,"lower bound",17702,24192],[4,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,60497,"lower bound",60497,116025],[4,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,127015,"lower bound",127015,339456],[4,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,181055,"lower bound",181055,656370],[4,18,"t","(5,2,2,2,2,2,1,1,1)",837760,179284,"lower bound",179284,837760],[4,18,"t","(5,2,2,2,2,2,2,1)",612612,111939,"lower bound",111939,612612],[4,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,55183,"lower bound",55183,106029],[4,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,209602,"lower bound",209602,612612],[4,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,414626,"lower bound",414626,1790100],[4,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,514580,"lower bound",514580,3180870],[4,18,"t","(5,3,2,2,2,2,1,1)",3403400,417366,"lower bound",417366,3403400],[4,18,"t","(5,3,2,2,2,2,2)",1503684,158449,"lower bound",158449,1503684],[4,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,248170,"lower bound",248170,1145664],[4,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,542085,"lower bound",542085,3877632],[4,18,"t","(5,3,3,2,2,1,1,1)",6432426,612183,"lower bound",612183,6432426],[4,18,"t","(5,3,3,2,2,2,1)",5346432,393206,"lower bound",393206,5346432],[4,18,"t","(5,3,3,3,1,1,1,1)",3646500,306512,"lower bound",306512,3646500],[4,18,"t","(5,3,3,3,2,1,1)",6265350,370813,"lower bound",370813,6265350],[4,18,"t","(5,3,3,3,2,2)",3267264,164254,"lower bound",164254,3267264],[4,18,"t","(5,3,3,3,3,1)",2362932,105774,"lower bound",105774,2362932],[4,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,89657,"lower bound",89657,251328],[4,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,320876,"lower bound",320876,1458600],[4,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,542813,"lower bound",542813,3965760],[4,18,"t","(5,4,2,2,2,1,1,1)",6126120,557997,"lower bound",557997,6126120],[4,18,"t","(5,4,2,2,2,2,1)",4950400,345046,"lower bound",345046,4950400],[4,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,422454,"lower bound",422454,3198720],[4,18,"t","(5,4,3,2,1,1,1,1)",9801792,781928,"lower bound",781928,9801792],[4,18,"t","(5,4,3,2,2,1,1)",13366080,728315,"lower bound",728315,13366080],[4,18,"t","(5,4,3,2,2,2)",6534528,296870,"lower bound",296870,6534528],[4,18,"t","(5,4,3,3,1,1,1)",8486400,406498,"lower bound",406498,8486400],[4,18,"t","(5,4,3,3,2,1)",10720710,401428,"lower bound",401428,10720710],[4,18,"t","(5,4,3,3,3)",2333760,79900,"lower bound",79900,2333760],[4,18,"t","(5,4,4,1,1,1,1,1)",2858856,224669,"lower bound",224669,2858856],[4,18,"t","(5,4,4,2,1,1,1)",8019648,378067,"lower bound",378067,8019648],[4,18,"t","(5,4,4,2,2,1)",8270262,292415,"lower bound",292415,8270262],[4,18,"t","(5,4,4,3,1,1)",7088796,219680,"lower bound",219680,7088796],[4,18,"t","(5,4,4,3,2)",5105100,149338,"lower bound",149338,5105100],[4,18,"t","(5,4,4,4,1)",1867008,47697,"lower bound",47697,1867008],[4,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,72810,"lower bound",72810,302940],[4,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,222958,"lower bound",222958,1649340],[4,18,"t","(5,5,2,2,1,1,1,1)",3978000,307292,"lower bound",307292,3978000],[4,18,"t","(5,5,2,2,2,1,1)",5012280,256008,"lower bound",256008,5012280],[4,18,"t","(5,5,2,2,2,2)",2382380,100575,"lower bound",100575,2382380],[4,18,"t","(5,5,3,1,1,1,1,1)",3508596,267767,"lower bound",267767,3508596],[4,18,"t","(5,5,3,2,1,1,1)",9165312,406498,"lower bound",406498,9165312],[4,18,"t","(5,5,3,2,2,1)",9189180,302949,"lower bound",302949,9189180],[4,18,"t","(5,5,3,3,1,1)",6534528,185244,"lower bound",185244,6534528],[4,18,"t","(5,5,3,3,2)",4594590,122426,"lower bound",122426,4594590],[4,18,"t","(5,5,4,1,1,1,1)",3508596,154695,"lower bound",154695,3508596],[4,18,"t","(5,5,4,2,1,1)",7876440,216281,"lower bound",216281,7876440],[4,18,"t","(5,5,4,2,2)",4594590,112938,"lower bound",112938,4594590],[4,18,"t","(5,5,4,3,1)",5105100,108666,"lower bound",108666,5105100],[4,18,"t","(5,5,4,4)",787644,14863,"lower bound",14863,787644],[4,18,"t","(5,5,5,1,1,1)",1429428,37170,"lower bound",37170,1429428],[4,18,"t","(5,5,5,2,1)",2333760,44986,"lower bound",44986,2333760],[4,18,"t","(5,5,5,3)",875160,14250,"lower bound",14250,875160],[4,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,4986,"lower bound",4986,6188],[4,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,33778,"lower bound",33778,60060],[4,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,98520,"lower bound",98520,268515],[4,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,178255,"lower bound",178255,714714],[4,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,216953,"lower bound",216953,1215500],[4,18,"t","(6,2,2,2,2,2,1,1)",1272348,177037,"lower bound",177037,1272348],[4,18,"t","(6,2,2,2,2,2,2)",556920,67754,"lower bound",67754,556920],[4,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,93533,"lower bound",93533,255255],[4,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,305872,"lower bound",305872,1357824],[4,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,501980,"lower bound",501980,3544398],[4,18,"t","(6,3,2,2,2,1,1,1)",5361664,515152,"lower bound",515152,5361664],[4,18,"t","(6,3,2,2,2,2,1)",4288284,320947,"lower bound",320947,4288284],[4,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,305849,"lower bound",305849,2333760],[4,18,"t","(6,3,3,2,1,1,1,1)",6872250,540088,"lower bound",540088,6872250],[4,18,"t","(6,3,3,2,2,1,1)",9189180,494482,"lower bound",494482,9189180],[4,18,"t","(6,3,3,2,2,2)",4455360,201498,"lower bound",201498,4455360],[4,18,"t","(6,3,3,3,1,1,1)",5469750,247167,"lower bound",247167,5469750],[4,18,"t","(6,3,3,3,2,1)",6789120,239721,"lower bound",239721,6789120],[4,18,"t","(6,3,3,3,3)",1429428,45393,"lower bound",45393,1429428],[4,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,146917,"lower bound",146917,612612],[4,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,437426,"lower bound",437426,3222180],[4,18,"t","(6,4,2,2,1,1,1,1)",7634088,597369,"lower bound",597369,7634088],[4,18,"t","(6,4,2,2,2,1,1)",9529520,495913,"lower bound",495913,9529520],[4,18,"t","(6,4,2,2,2,2)",4511052,194612,"lower bound",194612,4511052],[4,18,"t","(6,4,3,1,1,1,1,1)",6361740,477899,"lower bound",477899,6361740],[4,18,"t","(6,4,3,2,1,1,1)",16336320,708174,"lower bound",708174,16336320],[4,18,"t","(6,4,3,2,2,1)",16243500,522763,"lower bound",522763,16243500],[4,18,"t","(6,4,3,3,1,1)",11277630,306814,"lower bound",306814,11277630],[4,18,"t","(6,4,3,3,2)",7876440,201987,"lower bound",201987,7876440],[4,18,"t","(6,4,4,1,1,1,1)",5105100,215110,"lower bound",215110,5105100],[4,18,"t","(6,4,4,2,1,1)",11277630,294033,"lower bound",294033,11277630],[4,18,"t","(6,4,4,2,2)",6534528,153048,"lower bound",153048,6534528],[4,18,"t","(6,4,4,3,1)",7088796,143211,"lower bound",143211,7088796],[4,18,"t","(6,4,4,4)",1021020,18079,"lower bound",18079,1021020],[4,18,"t","(6,5,1,1,1,1,1,1,1)",875160,134370,"lower bound",134370,875160],[4,18,"t","(6,5,2,1,1,1,1,1)",4230144,333368,"lower bound",333368,4230144],[4,18,"t","(6,5,2,2,1,1,1)",8576568,364936,"lower bound",364936,8576568],[4,18,"t","(6,5,2,2,2,1)",7920640,238602,"lower bound",238602,7920640],[4,18,"t","(6,5,3,1,1,1,1)",7876440,327418,"lower bound",327418,7876440],[4,18,"t","(6,5,3,2,1,1)",16243500,404889,"lower bound",404889,16243500],[4,18,"t","(6,5,3,2,2)",9189180,203222,"lower bound",203222,9189180],[4,18,"t","(6,5,3,3,1)",8270262,155453,"lower bound",155453,8270262],[4,18,"t","(6,5,4,1,1,1)",6789120,161420,"lower bound",161420,6789120],[4,18,"t","(6,5,4,2,1)",10720710,188025,"lower bound",188025,10720710],[4,18,"t","(6,5,4,3)",3734016,54302,"lower bound",54302,3734016],[4,18,"t","(6,5,5,1,1)",2362932,37711,"lower bound",37711,2362932],[4,18,"t","(6,5,5,2)",2042040,26342,"lower bound",26342,2042040],[4,18,"t","(6,6,1,1,1,1,1,1)",659736,61958,"lower bound",61958,659736],[4,18,"t","(6,6,2,1,1,1,1)",2784600,123178,"lower bound",123178,2784600],[4,18,"t","(6,6,2,2,1,1)",4511052,110159,"lower bound",110159,4511052],[4,18,"t","(6,6,2,2,2)",2382380,48973,"lower bound",48973,2382380],[4,18,"t","(6,6,3,1,1,1)",4455360,104953,"lower bound",104953,4455360],[4,18,"t","(6,6,3,2,1)",6534528,110383,"lower bound",110383,6534528],[4,18,"t","(6,6,3,3)",1823250,24576,"lower bound",24576,1823250],[4,18,"t","(6,6,4,1,1)",3267264,50814,"lower bound",50814,3267264],[4,18,"t","(6,6,4,2)",2756754,34278,"lower bound",34278,2756754],[4,18,"t","(6,6,5,1)",1021020,11932,"lower bound",11932,1021020],[4,18,"t","(6,6,6)",87516,1155,"lower bound",1155,87516],[4,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,8141,"lower bound",8141,12376],[4,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,45139,"lower bound",45139,112320],[4,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,114116,"lower bound",114116,459459],[4,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,176728,"lower bound",176728,1089088],[4,18,"t","(7,2,2,2,2,1,1,1)",1575288,181330,"lower bound",181330,1575288],[4,18,"t","(7,2,2,2,2,2,1)",1233792,113639,"lower bound",113639,1233792],[4,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,110204,"lower bound",110204,447525],[4,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,306458,"lower bound",306458,2144142],[4,18,"t","(7,3,2,2,1,1,1,1)",4862000,416144,"lower bound",416144,4862000],[4,18,"t","(7,3,2,2,2,1,1)",5937624,347485,"lower bound",347485,5937624],[4,18,"t","(7,3,2,2,2,2)",2784600,136293,"lower bound",136293,2784600],[4,18,"t","(7,3,3,1,1,1,1,1)",3281850,254611,"lower bound",254611,3281850],[4,18,"t","(7,3,3,2,1,1,1)",8078400,364672,"lower bound",364672,8078400],[4,18,"t","(7,3,3,2,2,1)",7876440,263847,"lower bound",263847,7876440],[4,18,"t","(7,3,3,3,1,1)",5105100,139099,"lower bound",139099,5105100],[4,18,"t","(7,3,3,3,2)",3508596,88698,"lower bound",88698,3508596],[4,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,155726,"lower bound",155726,1018368],[4,18,"t","(7,4,2,1,1,1,1,1)",4725864,380189,"lower bound",380189,4725864],[4,18,"t","(7,4,2,2,1,1,1)",9382912,416384,"lower bound",416384,9382912],[4,18,"t","(7,4,2,2,2,1)",8576568,270374,"lower bound",270374,8576568],[4,18,"t","(7,4,3,1,1,1,1)",8078400,336368,"lower bound",336368,8078400],[4,18,"t","(7,4,3,2,1,1)",16336320,406764,"lower bound",406764,16336320],[4,18,"t","(7,4,3,2,2)",9165312,200291,"lower bound",200291,9165312],[4,18,"t","(7,4,3,3,1)",8019648,147088,"lower bound",147088,8019648],[4,18,"t","(7,4,4,1,1,1)",5469750,125184,"lower bound",125184,5469750],[4,18,"t","(7,4,4,2,1)",8486400,141719,"lower bound",141719,8486400],[4,18,"t","(7,4,4,3)",2858856,38874,"lower bound",38874,2858856],[4,18,"t","(7,5,1,1,1,1,1,1)",1432080,131952,"lower bound",131952,1432080],[4,18,"t","(7,5,2,1,1,1,1)",5937624,258920,"lower bound",258920,5937624],[4,18,"t","(7,5,2,2,1,1)",9529520,227447,"lower bound",227447,9529520],[4,18,"t","(7,5,2,2,2)",5012280,99341,"lower bound",99341,5012280],[4,18,"t","(7,5,3,1,1,1)",9189180,207430,"lower bound",207430,9189180],[4,18,"t","(7,5,3,2,1)",13366080,212172,"lower bound",212172,13366080],[4,18,"t","(7,5,3,3)",3675672,45724,"lower bound",45724,3675672],[4,18,"t","(7,5,4,1,1)",6265350,89315,"lower bound",89315,6265350],[4,18,"t","(7,5,4,2)",5250960,58670,"lower bound",58670,5250960],[4,18,"t","(7,5,5,1)",1575288,16100,"lower bound",16100,1575288],[4,18,"t","(7,6,1,1,1,1,1)",1233792,65882,"lower bound",65882,1233792],[4,18,"t","(7,6,2,1,1,1)",4288284,104893,"lower bound",104893,4288284],[4,18,"t","(7,6,2,2,1)",4950400,77261,"lower bound",77261,4950400],[4,18,"t","(7,6,3,1,1)",5346432,76967,"lower bound",76967,5346432],[4,18,"t","(7,6,3,2)",4200768,45618,"lower bound",45618,4200768],[4,18,"t","(7,6,4,1)",2756754,27407,"lower bound",27407,2756754],[4,18,"t","(7,6,5)",466752,5500,"lower bound",5500,466752],[4,18,"t","(7,7,1,1,1,1)",556920,17503,"lower bound",17503,556920],[4,18,"t","(7,7,2,1,1)",1503684,23617,"lower bound",23617,1503684],[4,18,"t","(7,7,2,2)",952952,10165,"lower bound",10165,952952],[4,18,"t","(7,7,3,1)",1312740,12483,"lower bound",12483,1312740],[4,18,"t","(7,7,4)",364650,3811,"lower bound",3811,364650],[4,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,9472,"lower bound",9472,19448],[4,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,45052,"lower bound",45052,162162],[4,18,"t","(8,2,2,1,1,1,1,1,1)",595595,98472,"lower bound",98472,595595],[4,18,"t","(8,2,2,2,1,1,1,1)",1225224,128087,"lower bound",128087,1225224],[4,18,"t","(8,2,2,2,2,1,1)",1432080,106761,"lower bound",106761,1432080],[4,18,"t","(8,2,2,2,2,2)",659736,41689,"lower bound",41689,659736],[4,18,"t","(8,3,1,1,1,1,1,1,1)",590733,95203,"lower bound",95203,590733],[4,18,"t","(8,3,2,1,1,1,1,1)",2489344,219881,"lower bound",219881,2489344],[4,18,"t","(8,3,2,2,1,1,1)",4725864,241765,"lower bound",241765,4725864],[4,18,"t","(8,3,2,2,2,1)",4230144,157361,"lower bound",157361,4230144],[4,18,"t","(8,3,3,1,1,1,1)",3281850,147360,"lower bound",147360,3281850],[4,18,"t","(8,3,3,2,1,1)",6361740,173719,"lower bound",173719,6361740],[4,18,"t","(8,3,3,2,2)",3508596,83450,"lower bound",83450,3508596],[4,18,"t","(8,3,3,3,1)",2858856,55773,"lower bound",55773,2858856],[4,18,"t","(8,4,1,1,1,1,1,1)",1225224,113762,"lower bound",113762,1225224],[4,18,"t","(8,4,2,1,1,1,1)",4862000,219763,"lower bound",219763,4862000],[4,18,"t","(8,4,2,2,1,1)",7634088,193435,"lower bound",193435,7634088],[4,18,"t","(8,4,2,2,2)",3978000,83781,"lower bound",83781,3978000],[4,18,"t","(8,4,3,1,1,1)",6872250,157798,"lower bound",157798,6872250],[4,18,"t","(8,4,3,2,1)",9801792,159240,"lower bound",159240,9801792],[4,18,"t","(8,4,3,3)",2598960,33076,"lower bound",33076,2598960],[4,18,"t","(8,4,4,1,1)",3646500,50632,"lower bound",50632,3646500],[4,18,"t","(8,4,4,2)",3007368,32821,"lower bound",32821,3007368],[4,18,"t","(8,5,1,1,1,1,1)",1575288,80724,"lower bound",80724,1575288],[4,18,"t","(8,5,2,1,1,1)",5361664,123766,"lower bound",123766,5361664],[4,18,"t","(8,5,2,2,1)",6126120,88847,"lower bound",88847,6126120],[4,18,"t","(8,5,3,1,1)",6432426,85015,"lower bound",85015,6432426],[4,18,"t","(8,5,3,2)",5012280,49795,"lower bound",49795,5012280],[4,18,"t","(8,5,4,1)",3055104,26907,"lower bound",26907,3055104],[4,18,"t","(8,5,5)",408408,4286,"lower bound",4286,408408],[4,18,"t","(8,6,1,1,1,1)",1272348,36979,"lower bound",36979,1272348],[4,18,"t","(8,6,2,1,1)",3403400,47744,"lower bound",47744,3403400],[4,18,"t","(8,6,2,2)",2148120,20095,"lower bound",20095,2148120],[4,18,"t","(8,6,3,1)",2923830,24814,"lower bound",24814,2923830],[4,18,"t","(8,6,4)",787644,7600,"lower bound",7600,787644],[4,18,"t","(8,7,1,1,1)",612612,11079,"lower bound",11079,612612],[4,18,"t","(8,7,2,1)",1131520,9651,"lower bound",9651,1131520],[4,18,"t","(8,7,3)",510510,4028,"lower bound",4028,510510],[4,18,"t","(8,8,1,1)",143208,1322,"lower bound",1322,143208],[4,18,"t","(8,8,2)",136136,772,"lower bound",772,136136],[4,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,8435,"lower bound",8435,24310],[4,18,"t","(9,2,1,1,1,1,1,1,1)",183040,35082,"lower bound",35082,183040],[4,18,"t","(9,2,2,1,1,1,1,1)",590733,64193,"lower bound",64193,590733],[4,18,"t","(9,2,2,2,1,1,1)",1018368,67681,"lower bound",67681,1018368],[4,18,"t","(9,2,2,2,2,1)",875160,43874,"lower bound",43874,875160],[4,18,"t","(9,3,1,1,1,1,1,1)",595595,61565,"lower bound",61565,595595],[4,18,"t","(9,3,2,1,1,1,1)",2144142,113077,"lower bound",113077,2144142],[4,18,"t","(9,3,2,2,1,1)",3222180,101121,"lower bound",101121,3222180],[4,18,"t","(9,3,2,2,2)",1649340,44206,"lower bound",44206,1649340],[4,18,"t","(9,3,3,1,1,1)",2333760,62126,"lower bound",62126,2333760],[4,18,"t","(9,3,3,2,1)",3198720,62731,"lower bound",62731,3198720],[4,18,"t","(9,3,3,3)",779688,12188,"lower bound",12188,779688],[4,18,"t","(9,4,1,1,1,1,1)",1089088,58242,"lower bound",58242,1089088],[4,18,"t","(9,4,2,1,1,1)",3544398,88428,"lower bound",88428,3544398],[4,18,"t","(9,4,2,2,1)",3965760,65270,"lower bound",65270,3965760],[4,18,"t","(9,4,3,1,1)",3877632,56366,"lower bound",56366,3877632],[4,18,"t","(9,4,3,2)",2970240,33998,"lower bound",33998,2970240],[4,18,"t","(9,4,4,1)",1429428,13172,"lower bound",13172,1429428],[4,18,"t","(9,5,1,1,1,1)",1215500,33630,"lower bound",33630,1215500],[4,18,"t","(9,5,2,1,1)",3180870,42185,"lower bound",42185,3180870],[4,18,"t","(9,5,2,2)",1989000,17847,"lower bound",17847,1989000],[4,18,"t","(9,5,3,1)",2625480,21382,"lower bound",21382,2625480],[4,18,"t","(9,5,4)",649740,5505,"lower bound",5505,649740],[4,18,"t","(9,6,1,1,1)",837760,13854,"lower bound",13854,837760],[4,18,"t","(9,6,2,1)",1531530,11669,"lower bound",11669,1531530],[4,18,"t","(9,6,3)",678912,4873,"lower bound",4873,678912],[4,18,"t","(9,7,1,1)",340340,3025,"lower bound",3025,340340],[4,18,"t","(9,7,2)",322218,1748,"lower bound",1748,322218],[4,18,"t","(9,8,1)",70720,437,"lower bound",437,70720],[4,19,"t","(18,1)",18,0,"exact",0,0],[4,19,"t","(17,2)",152,0,"exact",0,0],[4,19,"t","(17,1,1)",153,0,"exact",0,0],[4,19,"t","(16,3)",798,220,"upper bound",0,220],[4,19,"t","(16,1,1,1)",816,220,"upper bound",0,220],[4,19,"t","(16,2,1)",1615,440,"upper bound",0,440],[4,19,"t","(15,4)",2907,15,"lower bound",15,1383],[4,19,"t","(15,1,1,1,1)",3060,15,"lower bound",15,1658],[4,19,"t","(15,2,2)",5985,30,"lower bound",30,3035],[4,19,"t","(14,5)",7752,101,"lower bound",101,4762],[4,19,"t","(14,1,1,1,1,1)",8568,256,"lower bound",256,6211],[4,19,"t","(15,3,1)",8892,45,"lower bound",45,4429],[4,19,"t","(15,2,1,1)",9044,45,"lower bound",45,4667],[4,19,"t","(13,6)",15504,306,"lower bound",306,10762],[4,19,"t","(10,9)",16796,387,"lower bound",387,14748],[4,19,"t","(13,1,1,1,1,1,1)",18564,1206,"lower bound",1206,16516],[4,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,19,"t","(19)",1,0,"exact",0,0],[4,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[4,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[4,20,"t","(19,1)",19,0,"exact",0,0],[4,20,"t","(18,2)",170,0,"exact",0,0],[4,20,"t","(18,1,1)",171,0,"exact",0,0],[4,20,"t","(17,3)",950,286,"upper bound",0,286],[4,20,"t","(17,1,1,1)",969,286,"upper bound",0,286],[4,20,"t","(17,2,1)",1920,572,"upper bound",0,572],[4,20,"t","(16,4)",3705,15,"lower bound",15,1909],[4,20,"t","(16,1,1,1,1)",3876,15,"lower bound",15,2244],[4,20,"t","(16,2,2)",7600,30,"lower bound",30,5552],[4,20,"t","(15,5)",10659,116,"lower bound",116,8611],[4,20,"t","(16,3,1)",11305,45,"lower bound",45,9257],[4,20,"t","(16,2,1,1)",11475,45,"lower bound",45,9427],[4,20,"t","(15,1,1,1,1,1)",11628,271,"lower bound",271,9580],[4,20,"t","(10,10)",16796,387,"lower bound",387,14748],[4,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[4,20,"t","(20)",1,0,"exact",0,0],[4,21,"t","(20,1)",20,0,"exact",0,0],[4,21,"t","(19,2)",189,0,"exact",0,0],[4,21,"t","(19,1,1)",190,0,"exact",0,0],[4,21,"t","(18,3)",1120,364,"upper bound",0,364],[4,21,"t","(18,1,1,1)",1140,364,"upper bound",0,364],[4,21,"t","(18,2,1)",2261,728,"upper bound",0,728],[4,21,"t","(17,4)",4655,15,"lower bound",15,2607],[4,21,"t","(17,1,1,1,1)",4845,15,"lower bound",15,2966],[4,21,"t","(17,2,2)",9520,30,"lower bound",30,7472],[4,21,"t","(17,3,1)",14175,45,"lower bound",45,12127],[4,21,"t","(16,5)",14364,131,"lower bound",131,12316],[4,21,"t","(17,2,1,1)",14364,45,"lower bound",45,12316],[4,21,"t","(16,1,1,1,1,1)",15504,286,"lower bound",286,13456],[4,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,21,"t","(21)",1,0,"exact",0,0],[4,22,"t","(21,1)",21,0,"exact",0,0],[4,22,"t","(20,2)",209,0,"exact",0,0],[4,22,"t","(20,1,1)",210,0,"exact",0,0],[4,22,"t","(19,3)",1309,455,"upper bound",0,455],[4,22,"t","(19,1,1,1)",1330,455,"upper bound",0,455],[4,22,"t","(19,2,1)",2640,910,"upper bound",0,910],[4,22,"t","(18,4)",5775,15,"lower bound",15,3727],[4,22,"t","(18,1,1,1,1)",5985,15,"lower bound",15,3937],[4,22,"t","(18,2,2)",11781,30,"lower bound",30,9733],[4,22,"t","(18,3,1)",17556,45,"lower bound",45,15508],[4,22,"t","(18,2,1,1)",17765,45,"lower bound",45,15717],[4,22,"t","(17,5)",19019,146,"lower bound",146,16971],[4,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,22,"t","(22)",1,0,"exact",0,0],[4,23,"t","(22,1)",22,0,"exact",0,0],[4,23,"t","(21,2)",230,0,"exact",0,0],[4,23,"t","(21,1,1)",231,0,"exact",0,0],[4,23,"t","(20,3)",1518,560,"upper bound",0,560],[4,23,"t","(20,1,1,1)",1540,560,"upper bound",0,560],[4,23,"t","(20,2,1)",3059,1120,"upper bound",0,1120],[4,23,"t","(19,4)",7084,15,"lower bound",15,5036],[4,23,"t","(19,1,1,1,1)",7315,15,"lower bound",15,5267],[4,23,"t","(19,2,2)",14421,30,"lower bound",30,12373],[4,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,23,"t","(23)",1,0,"exact",0,0],[4,24,"t","(23,1)",23,0,"exact",0,0],[4,24,"t","(22,2)",252,0,"exact",0,0],[4,24,"t","(22,1,1)",253,0,"exact",0,0],[4,24,"t","(21,3)",1748,680,"upper bound",0,680],[4,24,"t","(21,1,1,1)",1771,680,"upper bound",0,680],[4,24,"t","(21,2,1)",3520,1523,"upper bound",0,1523],[4,24,"t","(20,4)",8602,15,"lower bound",15,6554],[4,24,"t","(20,1,1,1,1)",8855,15,"lower bound",15,6807],[4,24,"t","(20,2,2)",17480,30,"lower bound",30,15432],[4,24,"t","(24)",1,0,"exact",0,0],[4,25,"t","(24,1)",24,0,"exact",0,0],[4,25,"t","(23,2)",275,0,"exact",0,0],[4,25,"t","(23,1,1)",276,0,"exact",0,0],[4,25,"t","(22,3)",2000,816,"upper bound",0,816],[4,25,"t","(22,1,1,1)",2024,816,"upper bound",0,816],[4,25,"t","(22,2,1)",4025,1984,"upper bound",0,1984],[4,25,"t","(21,4)",10350,15,"lower bound",15,8302],[4,25,"t","(21,1,1,1,1)",10626,15,"lower bound",15,8578],[4,25,"t","(25)",1,0,"exact",0,0],[4,26,"t","(25,1)",25,0,"exact",0,0],[4,26,"t","(24,2)",299,0,"exact",0,0],[4,26,"t","(24,1,1)",300,0,"exact",0,0],[4,26,"t","(23,3)",2275,969,"upper bound",0,969],[4,26,"t","(23,1,1,1)",2300,969,"upper bound",0,969],[4,26,"t","(23,2,1)",4576,2528,"upper bound",0,2528],[4,26,"t","(22,4)",12350,15,"lower bound",15,10302],[4,26,"t","(22,1,1,1,1)",12650,15,"lower bound",15,10602],[4,26,"t","(26)",1,0,"exact",0,0],[4,27,"t","(26,1)",26,0,"exact",0,0],[4,27,"t","(25,2)",324,0,"exact",0,0],[4,27,"t","(25,1,1)",325,0,"exact",0,0],[4,27,"t","(24,3)",2574,1140,"upper bound",0,1140],[4,27,"t","(24,1,1,1)",2600,1140,"upper bound",0,1140],[4,27,"t","(24,2,1)",5175,3127,"upper bound",0,3127],[4,27,"t","(23,4)",14625,15,"lower bound",15,12577],[4,27,"t","(23,1,1,1,1)",14950,15,"lower bound",15,12902],[4,27,"t","(27)",1,0,"exact",0,0],[4,28,"t","(27,1)",27,0,"exact",0,0],[4,28,"t","(26,2)",350,0,"exact",0,0],[4,28,"t","(26,1,1)",351,0,"exact",0,0],[4,28,"t","(25,3)",2898,1330,"upper bound",0,1330],[4,28,"t","(25,1,1,1)",2925,1330,"upper bound",0,1330],[4,28,"t","(25,2,1)",5824,3776,"upper bound",0,3776],[4,28,"t","(24,4)",17199,15,"lower bound",15,15151],[4,28,"t","(24,1,1,1,1)",17550,15,"lower bound",15,15502],[4,28,"t","(28)",1,0,"exact",0,0],[4,29,"t","(28,1)",28,0,"exact",0,0],[4,29,"t","(27,2)",377,0,"exact",0,0],[4,29,"t","(27,1,1)",378,0,"exact",0,0],[4,29,"t","(26,3)",3248,1540,"upper bound",0,1540],[4,29,"t","(26,1,1,1)",3276,1540,"upper bound",0,1540],[4,29,"t","(26,2,1)",6525,4477,"upper bound",0,4477],[4,29,"t","(29)",1,0,"exact",0,0],[4,30,"t","(29,1)",29,0,"exact",0,0],[4,30,"t","(28,2)",405,0,"exact",0,0],[4,30,"t","(28,1,1)",406,0,"exact",0,0],[4,30,"t","(27,3)",3625,1771,"upper bound",0,1771],[4,30,"t","(27,1,1,1)",3654,1771,"upper bound",0,1771],[4,30,"t","(27,2,1)",7280,5232,"upper bound",0,5232],[4,30,"t","(30)",1,0,"exact",0,0],[4,31,"t","(30,1)",30,0,"exact",0,0],[4,31,"t","(29,2)",434,0,"exact",0,0],[4,31,"t","(29,1,1)",435,0,"exact",0,0],[4,31,"t","(28,3)",4030,2089,"upper bound",0,2089],[4,31,"t","(28,1,1,1)",4060,2118,"upper bound",0,2118],[4,31,"t","(28,2,1)",8091,6043,"upper bound",0,6043],[4,1,"u","(1)",1,0,"exact",0,0],[4,2,"u","(2)",1,0,"exact",0,0],[4,2,"u","(1,1)",1,0,"exact",0,0],[4,3,"u","(3)",1,0,"exact",0,0],[4,3,"u","(2,1)",2,0,"exact",0,0],[4,3,"u","(1,1,1)",1,0,"exact",0,0],[4,4,"u","(4)",1,0,"exact",0,0],[4,4,"u","(3,1)",3,0,"exact",0,0],[4,4,"u","(2,2)",2,0,"exact",0,0],[4,4,"u","(2,1,1)",3,0,"exact",0,0],[4,4,"u","(1,1,1,1)",1,0,"exact",0,0],[4,5,"u","(5)",1,0,"exact",0,0],[4,5,"u","(4,1)",4,0,"exact",0,0],[4,5,"u","(3,2)",5,0,"exact",0,0],[4,5,"u","(3,1,1)",6,0,"exact",0,0],[4,5,"u","(2,2,1)",5,0,"exact",0,0],[4,5,"u","(2,1,1,1)",4,0,"exact",0,0],[4,5,"u","(1,1,1,1,1)",1,0,"exact",0,0],[4,6,"u","(6)",1,0,"exact",0,0],[4,6,"u","(5,1)",5,0,"exact",0,0],[4,6,"u","(4,2)",9,0,"exact",0,0],[4,6,"u","(4,1,1)",10,0,"exact",0,0],[4,6,"u","(3,3)",5,0,"exact",0,0],[4,6,"u","(3,2,1)",16,0,"exact",0,0],[4,6,"u","(3,1,1,1)",10,0,"exact",0,0],[4,6,"u","(2,2,2)",5,0,"exact",0,0],[4,6,"u","(2,2,1,1)",9,0,"exact",0,0],[4,6,"u","(2,1,1,1,1)",5,0,"exact",0,0],[4,6,"u","(1,1,1,1,1,1)",1,0,"exact",0,0],[4,7,"u","(7)",1,0,"exact",0,0],[4,7,"u","(6,1)",6,0,"exact",0,0],[4,7,"u","(5,2)",14,0,"exact",0,0],[4,7,"u","(5,1,1)",15,0,"exact",0,0],[4,7,"u","(4,3)",14,0,"exact",0,0],[4,7,"u","(4,2,1)",35,0,"exact",0,0],[4,7,"u","(4,1,1,1)",20,0,"exact",0,0],[4,7,"u","(3,3,1)",21,0,"exact",0,0],[4,7,"u","(3,2,2)",21,0,"exact",0,0],[4,7,"u","(3,2,1,1)",35,0,"exact",0,0],[4,7,"u","(3,1,1,1,1)",15,0,"exact",0,0],[4,7,"u","(2,2,2,1)",14,0,"exact",0,0],[4,7,"u","(2,2,1,1,1)",14,0,"exact",0,0],[4,7,"u","(2,1,1,1,1,1)",6,0,"exact",0,0],[4,7,"u","(1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,8,"u","(8)",1,0,"exact",0,0],[4,8,"u","(7,1)",7,0,"exact",0,0],[4,8,"u","(6,2)",20,0,"exact",0,0],[4,8,"u","(6,1,1)",21,0,"exact",0,0],[4,8,"u","(5,3)",28,0,"exact",0,0],[4,8,"u","(5,2,1)",64,0,"exact",0,0],[4,8,"u","(5,1,1,1)",35,0,"exact",0,0],[4,8,"u","(4,4)",14,1,"exact",1,1],[4,8,"u","(4,3,1)",70,3,"exact",3,3],[4,8,"u","(4,2,2)",56,2,"exact",2,2],[4,8,"u","(4,2,1,1)",90,3,"exact",3,3],[4,8,"u","(4,1,1,1,1)",35,1,"exact",1,1],[4,8,"u","(3,3,2)",42,3,"exact",3,3],[4,8,"u","(3,3,1,1)",56,6,"exact",6,6],[4,8,"u","(3,2,2,1)",70,7,"exact",7,7],[4,8,"u","(3,2,1,1,1)",64,8,"exact",8,8],[4,8,"u","(3,1,1,1,1,1)",21,3,"exact",3,3],[4,8,"u","(2,2,2,2)",14,3,"exact",3,3],[4,8,"u","(2,2,2,1,1)",28,6,"exact",6,6],[4,8,"u","(2,2,1,1,1,1)",20,6,"exact",6,6],[4,8,"u","(2,1,1,1,1,1,1)",7,3,"exact",3,3],[4,8,"u","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,9,"u","(9)",1,0,"exact",0,0],[4,9,"u","(8,1)",8,0,"exact",0,0],[4,9,"u","(7,2)",27,0,"exact",0,0],[4,9,"u","(7,1,1)",28,0,"exact",0,0],[4,9,"u","(6,3)",48,0,"exact",0,0],[4,9,"u","(6,2,1)",105,0,"exact",0,0],[4,9,"u","(6,1,1,1)",56,0,"exact",0,0],[4,9,"u","(5,4)",42,5,"exact",5,5],[4,9,"u","(5,3,1)",162,15,"exact",15,15],[4,9,"u","(5,2,2)",120,10,"exact",10,10],[4,9,"u","(5,2,1,1)",189,15,"exact",15,15],[4,9,"u","(5,1,1,1,1)",70,5,"exact",5,5],[4,9,"u","(4,4,1)",84,16,"exact",16,16],[4,9,"u","(4,3,2)",168,32,"exact",32,32],[4,9,"u","(4,3,1,1)",216,48,"exact",48,48],[4,9,"u","(4,2,2,1)",216,48,"exact",48,48],[4,9,"u","(4,2,1,1,1)",189,48,"exact",48,48],[4,9,"u","(4,1,1,1,1,1)",56,16,"exact",16,16],[4,9,"u","(3,3,3)",42,11,"exact",11,11],[4,9,"u","(3,3,2,1)",168,56,"exact",56,56],[4,9,"u","(3,3,1,1,1)",120,46,"exact",46,46],[4,9,"u","(3,2,2,2)",84,34,"exact",34,34],[4,9,"u","(3,2,2,1,1)",162,69,"exact",69,69],[4,9,"u","(3,2,1,1,1,1)",105,53,"exact",53,53],[4,9,"u","(3,1,1,1,1,1,1)",28,18,"exact",18,18],[4,9,"u","(2,2,2,2,1)",42,25,"exact",25,25],[4,9,"u","(2,2,2,1,1,1)",48,32,"exact",32,32],[4,9,"u","(2,2,1,1,1,1,1)",27,21,"exact",21,21],[4,9,"u","(2,1,1,1,1,1,1,1)",8,8,"exact",8,8],[4,9,"u","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,10,"u","(10)",1,0,"exact",0,0],[4,10,"u","(9,1)",9,0,"exact",0,0],[4,10,"u","(8,2)",35,0,"exact",0,0],[4,10,"u","(8,1,1)",36,0,"exact",0,0],[4,10,"u","(7,3)",75,0,"exact",0,0],[4,10,"u","(7,2,1)",160,0,"exact",0,0],[4,10,"u","(7,1,1,1)",84,0,"exact",0,0],[4,10,"u","(6,4)",90,15,"exact",15,15],[4,10,"u","(6,3,1)",315,45,"exact",45,45],[4,10,"u","(6,2,2)",225,30,"exact",30,30],[4,10,"u","(6,2,1,1)",350,45,"exact",45,45],[4,10,"u","(6,1,1,1,1)",126,15,"exact",15,15],[4,10,"u","(5,5)",42,11,"exact",11,11],[4,10,"u","(5,4,1)",288,84,"exact",84,84],[4,10,"u","(5,3,2)",450,135,"exact",135,135],[4,10,"u","(5,3,1,1)",567,186,"exact",186,186],[4,10,"u","(5,2,2,1)",525,175,"exact",175,175],[4,10,"u","(5,2,1,1,1)",448,164,"exact",164,164],[4,10,"u","(5,1,1,1,1,1)",126,51,"exact",51,51],[4,10,"u","(4,4,2)",252,102,"exact",102,102],[4,10,"u","(4,4,1,1)",300,130,"exact",130,130],[4,10,"u","(4,3,3)",210,91,"exact",91,91],[4,10,"u","(4,3,2,1)",768,376,"exact",376,376],[4,10,"u","(4,3,1,1,1)",525,280,"exact",280,280],[4,10,"u","(4,2,2,2)",300,166,"exact",166,166],[4,10,"u","(4,2,2,1,1)",567,327,"exact",327,327],[4,10,"u","(4,2,1,1,1,1)",350,225,"exact",225,225],[4,10,"u","(4,1,1,1,1,1,1)",84,64,"exact",64,64],[4,10,"u","(3,3,3,1)",210,127,"exact",127,127],[4,10,"u","(3,3,2,2)",252,162,"exact",162,162],[4,10,"u","(3,3,2,1,1)",450,303,"exact",303,303],[4,10,"u","(3,3,1,1,1,1)",225,165,"exact",165,165],[4,10,"u","(3,2,2,2,1)",288,216,"exact",216,216],[4,10,"u","(3,2,2,1,1,1)",315,252,"exact",252,252],[4,10,"u","(3,2,1,1,1,1,1)",160,140,"exact",140,140],[4,10,"u","(3,1,1,1,1,1,1,1)",36,36,"exact",36,36],[4,10,"u","(2,2,2,2,2)",42,37,"exact",37,37],[4,10,"u","(2,2,2,2,1,1)",90,81,"exact",81,81],[4,10,"u","(2,2,2,1,1,1,1)",75,71,"exact",71,71],[4,10,"u","(2,2,1,1,1,1,1,1)",35,35,"exact",35,35],[4,10,"u","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[4,10,"u","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,11,"u","(11)",1,0,"exact",0,0],[4,11,"u","(10,1)",10,0,"exact",0,0],[4,11,"u","(9,2)",44,0,"exact",0,0],[4,11,"u","(9,1,1)",45,0,"exact",0,0],[4,11,"u","(8,3)",110,0,"exact",0,0],[4,11,"u","(8,2,1)",231,0,"exact",0,0],[4,11,"u","(8,1,1,1)",120,0,"exact",0,0],[4,11,"u","(7,4)",165,35,"exact",35,35],[4,11,"u","(7,3,1)",550,105,"exact",105,105],[4,11,"u","(7,2,2)",385,70,"exact",70,70],[4,11,"u","(7,2,1,1)",594,105,"exact",105,105],[4,11,"u","(7,1,1,1,1)",210,35,"exact",35,35],[4,11,"u","(6,5)",132,46,"exact",46,46],[4,11,"u","(6,4,1)",693,264,"exact",264,264],[4,11,"u","(6,3,2)",990,390,"exact",390,390],[4,11,"u","(6,3,1,1)",1232,516,"exact",516,516],[4,11,"u","(6,2,2,1)",1100,470,"exact",470,470],[4,11,"u","(6,2,1,1,1)",924,424,"exact",424,424],[4,11,"u","(6,1,1,1,1,1)",252,126,"exact",126,126],[4,11,"u","(5,5,1)",330,155,"exact",155,155],[4,11,"u","(5,4,2)",990,525,"exact",525,525],[4,11,"u","(5,4,1,1)",1155,640,"exact",640,640],[4,11,"u","(5,3,3)",660,370,"exact",370,370],[4,11,"u","(5,3,2,1)",2310,1400,"exact",1400,1400],[4,11,"u","(5,3,1,1,1)",1540,990,"exact",990,990],[4,11,"u","(5,2,2,2)",825,545,"exact",545,545],[4,11,"u","(5,2,2,1,1)",1540,1050,"exact",1050,1050],[4,11,"u","(5,2,1,1,1,1)",924,680,"exact",680,680],[4,11,"u","(5,1,1,1,1,1,1)",210,175,"exact",175,175],[4,11,"u","(4,4,3)",462,297,"exact",297,297],[4,11,"u","(4,4,2,1)",1320,900,"exact",900,900],[4,11,"u","(4,4,1,1,1)",825,590,"exact",590,590],[4,11,"u","(4,3,3,1)",1188,870,"exact",870,870],[4,11,"u","(4,3,2,2)",1320,1004,"exact",1004,1004],[4,11,"u","(4,3,2,1,1)",2310,1810,"exact",1810,1810],[4,11,"u","(4,3,1,1,1,1)",1100,910,"exact",910,910],[4,11,"u","(4,2,2,2,1)",1155,969,"exact",969,969],[4,11,"u","(4,2,2,1,1,1)",1232,1076,"exact",1076,1076],[4,11,"u","(4,2,1,1,1,1,1)",594,549,"exact",549,549],[4,11,"u","(4,1,1,1,1,1,1,1)",120,120,"exact",120,120],[4,11,"u","(3,3,3,2)",462,385,"exact",385,385],[4,11,"u","(3,3,3,1,1)",660,566,"exact",566,566],[4,11,"u","(3,3,2,2,1)",990,873,"exact",873,873],[4,11,"u","(3,3,2,1,1,1)",990,900,"exact",900,900],[4,11,"u","(3,3,1,1,1,1,1)",385,365,"exact",365,365],[4,11,"u","(3,2,2,2,2)",330,309,"exact",309,309],[4,11,"u","(3,2,2,2,1,1)",693,657,"exact",657,657],[4,11,"u","(3,2,2,1,1,1,1)",550,535,"exact",535,535],[4,11,"u","(3,2,1,1,1,1,1,1)",231,231,"exact",231,231],[4,11,"u","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[4,11,"u","(2,2,2,2,2,1)",132,130,"exact",130,130],[4,11,"u","(2,2,2,2,1,1,1)",165,164,"exact",164,164],[4,11,"u","(2,2,2,1,1,1,1,1)",110,110,"exact",110,110],[4,11,"u","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[4,11,"u","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[4,11,"u","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"u","(12)",1,0,"exact",0,0],[4,12,"u","(11,1)",11,0,"exact",0,0],[4,12,"u","(10,2)",54,0,"exact",0,0],[4,12,"u","(10,1,1)",55,0,"exact",0,0],[4,12,"u","(9,3)",154,0,"exact",0,0],[4,12,"u","(9,2,1)",320,0,"exact",0,0],[4,12,"u","(9,1,1,1)",165,0,"exact",0,0],[4,12,"u","(8,4)",275,70,"exact",70,70],[4,12,"u","(8,3,1)",891,210,"exact",210,210],[4,12,"u","(8,2,2)",616,140,"exact",140,140],[4,12,"u","(8,2,1,1)",945,210,"exact",210,210],[4,12,"u","(8,1,1,1,1)",330,70,"exact",70,70],[4,12,"u","(7,5)",297,126,"exact",126,126],[4,12,"u","(7,4,1)",1408,644,"exact",644,644],[4,12,"u","(7,3,2)",1925,910,"exact",910,910],[4,12,"u","(7,3,1,1)",2376,1176,"exact",1176,1176],[4,12,"u","(7,2,2,1)",2079,1050,"exact",1050,1050],[4,12,"u","(7,2,1,1,1)",1728,924,"exact",924,924],[4,12,"u","(7,1,1,1,1,1)",462,266,"exact",266,266],[4,12,"u","(6,6)",132,66,"exact",66,66],[4,12,"u","(6,5,1)",1155,660,"exact",660,660],[4,12,"u","(6,4,2)",2673,1674,"exact",1674,1674],[4,12,"u","(6,4,1,1)",3080,1990,"exact",1990,1990],[4,12,"u","(6,3,3)",1650,1080,"exact",1080,1080],[4,12,"u","(6,3,2,1)",5632,3896,"exact",3896,3896],[4,12,"u","(6,3,1,1,1)",3696,2670,"exact",2670,2670],[4,12,"u","(6,2,2,2)",1925,1420,"exact",1420,1420],[4,12,"u","(6,2,2,1,1)",3564,2694,"exact",2694,2694],[4,12,"u","(6,2,1,1,1,1)",2100,1680,"exact",1680,1680],[4,12,"u","(6,1,1,1,1,1,1)",462,406,"exact",406,406],[4,12,"u","(5,5,2)",1320,910,"exact",910,910],[4,12,"u","(5,5,1,1)",1485,1050,"exact",1050,1050],[4,12,"u","(5,4,3)",2112,1576,"exact",1576,1576],[4,12,"u","(5,4,2,1)",5775,4480,"exact",4480,4480],[4,12,"u","(5,4,1,1,1)",3520,2820,"exact",2820,2820],[4,12,"u","(5,3,3,1)",4158,3384,"exact",3384,3384],[4,12,"u","(5,3,2,2)",4455,3720,"exact",3720,3720],[4,12,"u","(5,3,2,1,1)",7700,6560,"exact",6560,6560],[4,12,"u","(5,3,1,1,1,1)",3564,3150,"exact",3150,3150],[4,12,"u","(5,2,2,2,1)",3520,3140,"exact",3140,3140],[4,12,"u","(5,2,2,1,1,1)",3696,3386,"exact",3386,3386],[4,12,"u","(5,2,1,1,1,1,1)",1728,1644,"exact",1644,1644],[4,12,"u","(5,1,1,1,1,1,1,1)",330,330,"exact",330,330],[4,12,"u","(4,4,4)",462,377,"exact",377,377],[4,12,"u","(4,4,3,1)",2970,2535,"exact",2535,2535],[4,12,"u","(4,4,2,2)",2640,2300,"exact",2300,2300],[4,12,"u","(4,4,2,1,1)",4455,3945,"exact",3945,3945],[4,12,"u","(4,4,1,1,1,1)",1925,1755,"exact",1755,1755],[4,12,"u","(4,3,3,2)",2970,2673,"exact",2673,2673],[4,12,"u","(4,3,3,1,1)",4158,3804,"exact",3804,3804],[4,12,"u","(4,3,2,2,1)",5775,5375,"exact",5375,5375],[4,12,"u","(4,3,2,1,1,1)",5632,5336,"exact",5336,5336],[4,12,"u","(4,3,1,1,1,1,1)",2079,2019,"exact",2019,2019],[4,12,"u","(4,2,2,2,2)",1485,1431,"exact",1431,1431],[4,12,"u","(4,2,2,2,1,1)",3080,2990,"exact",2990,2990],[4,12,"u","(4,2,2,1,1,1,1)",2376,2340,"exact",2340,2340],[4,12,"u","(4,2,1,1,1,1,1,1)",945,945,"exact",945,945],[4,12,"u","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[4,12,"u","(3,3,3,3)",462,435,"exact",435,435],[4,12,"u","(3,3,3,2,1)",2112,2024,"exact",2024,2024],[4,12,"u","(3,3,3,1,1,1)",1650,1600,"exact",1600,1600],[4,12,"u","(3,3,2,2,2)",1320,1286,"exact",1286,1286],[4,12,"u","(3,3,2,2,1,1)",2673,2619,"exact",2619,2619],[4,12,"u","(3,3,2,1,1,1,1)",1925,1905,"exact",1905,1905],[4,12,"u","(3,3,1,1,1,1,1,1)",616,616,"exact",616,616],[4,12,"u","(3,2,2,2,2,1)",1155,1147,"exact",1147,1147],[4,12,"u","(3,2,2,2,1,1,1)",1408,1404,"exact",1404,1404],[4,12,"u","(3,2,2,1,1,1,1,1)",891,891,"exact",891,891],[4,12,"u","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[4,12,"u","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[4,12,"u","(2,2,2,2,2,2)",132,132,"exact",132,132],[4,12,"u","(2,2,2,2,2,1,1)",297,297,"exact",297,297],[4,12,"u","(2,2,2,2,1,1,1,1)",275,275,"exact",275,275],[4,12,"u","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[4,12,"u","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[4,12,"u","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[4,12,"u","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"u","(13)",1,0,"exact",0,0],[4,13,"u","(12,1)",12,0,"exact",0,0],[4,13,"u","(11,2)",65,0,"exact",0,0],[4,13,"u","(11,1,1)",66,0,"exact",0,0],[4,13,"u","(10,3)",208,0,"exact",0,0],[4,13,"u","(10,2,1)",429,0,"exact",0,0],[4,13,"u","(10,1,1,1)",220,0,"exact",0,0],[4,13,"u","(9,4)",429,126,"exact",126,126],[4,13,"u","(9,3,1)",1365,378,"exact",378,378],[4,13,"u","(9,2,2)",936,252,"exact",252,252],[4,13,"u","(9,2,1,1)",1430,378,"exact",378,378],[4,13,"u","(9,1,1,1,1)",495,126,"exact",126,126],[4,13,"u","(8,5)",572,280,"exact",280,280],[4,13,"u","(8,4,1)",2574,1344,"exact",1344,1344],[4,13,"u","(8,3,2)",3432,1848,"exact",1848,1848],[4,13,"u","(8,3,1,1)",4212,2352,"exact",2352,2352],[4,13,"u","(8,2,2,1)",3640,2072,"exact",2072,2072],[4,13,"u","(8,2,1,1,1)",3003,1792,"exact",1792,1792],[4,13,"u","(8,1,1,1,1,1)",792,504,"exact",504,504],[4,13,"u","(7,6)",429,252,"exact",252,252],[4,13,"u","(7,5,1)",2860,1862,"exact",1862,1862],[4,13,"u","(7,4,2)",6006,4200,"exact",4200,4200],[4,13,"u","(7,4,1,1)",6864,4914,"exact",4914,4914],[4,13,"u","(7,3,3)",3575,2590,"exact",2590,2590],[4,13,"u","(7,3,2,1)",12012,9072,"exact",9072,9072],[4,13,"u","(7,3,1,1,1)",7800,6090,"exact",6090,6090],[4,13,"u","(7,2,2,2)",4004,3178,"exact",3178,3178],[4,13,"u","(7,2,2,1,1)",7371,5964,"exact",5964,5964],[4,13,"u","(7,2,1,1,1,1)",4290,3626,"exact",3626,3626],[4,13,"u","(7,1,1,1,1,1,1)",924,840,"exact",840,840],[4,13,"u","(6,6,1)",1287,906,"exact",906,906],[4,13,"u","(6,5,2)",5148,3972,"exact",3972,3972],[4,13,"u","(6,5,1,1)",5720,4492,"exact",4492,4492],[4,13,"u","(6,4,3)",6435,5250,"exact",5250,5250],[4,13,"u","(6,4,2,1)",17160,14388,"exact",14388,14388],[4,13,"u","(6,4,1,1,1)",10296,8832,"exact",8832,8832],[4,13,"u","(6,3,3,1)",11440,9920,"exact",9920,9920],[4,13,"u","(6,3,2,2)",12012,10608,"exact",10608,10608],[4,13,"u","(6,3,2,1,1)",20592,18444,"exact",18444,18444],[4,13,"u","(6,3,1,1,1,1)",9360,8604,"exact",8604,8604],[4,13,"u","(6,2,2,2,1)",9009,8334,"exact",8334,8334],[4,13,"u","(6,2,2,1,1,1)",9360,8820,"exact",8820,8820],[4,13,"u","(6,2,1,1,1,1,1)",4290,4150,"exact",4150,4150],[4,13,"u","(6,1,1,1,1,1,1,1)",792,792,"exact",792,792],[4,13,"u","(5,5,3)",3432,2918,"exact",2918,2918],[4,13,"u","(5,5,2,1)",8580,7460,"exact",7460,7460],[4,13,"u","(5,5,1,1,1)",5005,4434,"exact",4434,4434],[4,13,"u","(5,4,4)",2574,2265,"exact",2265,2265],[4,13,"u","(5,4,3,1)",15015,13607,"exact",13607,13607],[4,13,"u","(5,4,2,2)",12870,11820,"exact",11820,11820],[4,13,"u","(5,4,2,1,1)",21450,19905,"exact",19905,19905],[4,13,"u","(5,4,1,1,1,1)",9009,8517,"exact",8517,8517],[4,13,"u","(5,3,3,2)",11583,10857,"exact",10857,10857],[4,13,"u","(5,3,3,1,1)",16016,15164,"exact",15164,15164],[4,13,"u","(5,3,2,2,1)",21450,20535,"exact",20535,20535],[4,13,"u","(5,3,2,1,1,1)",20592,19932,"exact",19932,19932],[4,13,"u","(5,3,1,1,1,1,1)",7371,7245,"exact",7245,7245],[4,13,"u","(5,2,2,2,2)",5005,4895,"exact",4895,4895],[4,13,"u","(5,2,2,2,1,1)",10296,10116,"exact",10116,10116],[4,13,"u","(5,2,2,1,1,1,1)",7800,7730,"exact",7730,7730],[4,13,"u","(5,2,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[4,13,"u","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[4,13,"u","(4,4,4,1)",3432,3212,"exact",3212,3212],[4,13,"u","(4,4,3,2)",8580,8168,"exact",8168,8168],[4,13,"u","(4,4,3,1,1)",11583,11112,"exact",11112,11112],[4,13,"u","(4,4,2,2,1)",12870,12456,"exact",12456,12456],[4,13,"u","(4,4,2,1,1,1)",12012,11724,"exact",11724,11724],[4,13,"u","(4,4,1,1,1,1,1)",4004,3954,"exact",3954,3954],[4,13,"u","(4,3,3,3)",3432,3324,"exact",3324,3324],[4,13,"u","(4,3,3,2,1)",15015,14680,"exact",14680,14680],[4,13,"u","(4,3,3,1,1,1)",11440,11256,"exact",11256,11256],[4,13,"u","(4,3,2,2,2)",8580,8464,"exact",8464,8464],[4,13,"u","(4,3,2,2,1,1)",17160,16980,"exact",16980,16980],[4,13,"u","(4,3,2,1,1,1,1)",12012,11948,"exact",11948,11948],[4,13,"u","(4,3,1,1,1,1,1,1)",3640,3640,"exact",3640,3640],[4,13,"u","(4,2,2,2,2,1)",5720,5700,"exact",5700,5700],[4,13,"u","(4,2,2,2,1,1,1)",6864,6854,"exact",6854,6854],[4,13,"u","(4,2,2,1,1,1,1,1)",4212,4212,"exact",4212,4212],[4,13,"u","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[4,13,"u","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[4,13,"u","(3,3,3,3,1)",2574,2547,"exact",2547,2547],[4,13,"u","(3,3,3,2,2)",3432,3406,"exact",3406,3406],[4,13,"u","(3,3,3,2,1,1)",6435,6399,"exact",6399,6399],[4,13,"u","(3,3,3,1,1,1,1)",3575,3565,"exact",3565,3565],[4,13,"u","(3,3,2,2,2,1)",5148,5136,"exact",5136,5136],[4,13,"u","(3,3,2,2,1,1,1)",6006,6000,"exact",6000,6000],[4,13,"u","(3,3,2,1,1,1,1,1)",3432,3432,"exact",3432,3432],[4,13,"u","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[4,13,"u","(3,2,2,2,2,2)",1287,1287,"exact",1287,1287],[4,13,"u","(3,2,2,2,2,1,1)",2860,2860,"exact",2860,2860],[4,13,"u","(3,2,2,2,1,1,1,1)",2574,2574,"exact",2574,2574],[4,13,"u","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[4,13,"u","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[4,13,"u","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[4,13,"u","(2,2,2,2,2,2,1)",429,429,"exact",429,429],[4,13,"u","(2,2,2,2,2,1,1,1)",572,572,"exact",572,572],[4,13,"u","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[4,13,"u","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[4,13,"u","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[4,13,"u","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[4,13,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"u","(14)",1,0,"exact",0,0],[4,14,"u","(13,1)",13,0,"exact",0,0],[4,14,"u","(12,2)",77,0,"exact",0,0],[4,14,"u","(12,1,1)",78,0,"exact",0,0],[4,14,"u","(11,3)",273,0,"exact",0,0],[4,14,"u","(11,2,1)",560,0,"exact",0,0],[4,14,"u","(11,1,1,1)",286,0,"exact",0,0],[4,14,"u","(10,4)",637,210,"exact",210,210],[4,14,"u","(10,3,1)",2002,630,"exact",630,630],[4,14,"u","(10,2,2)",1365,420,"exact",420,420],[4,14,"u","(10,2,1,1)",2079,630,"exact",630,630],[4,14,"u","(10,1,1,1,1)",715,210,"exact",210,210],[4,14,"u","(9,5)",1001,546,"exact",546,546],[4,14,"u","(9,4,1)",4368,2520,"exact",2520,2520],[4,14,"u","(9,3,2)",5733,3402,"exact",3402,3402],[4,14,"u","(9,3,1,1)",7007,4284,"exact",4284,4284],[4,14,"u","(9,2,2,1)",6006,3738,"exact",3738,3738],[4,14,"u","(9,2,1,1,1)",4928,3192,"exact",3192,3192],[4,14,"u","(9,1,1,1,1,1)",1287,882,"exact",882,882],[4,14,"u","(8,6)",1001,658,"exact",658,658],[4,14,"u","(8,5,1)",6006,4284,"exact",4284,4284],[4,14,"u","(8,4,2)",12012,9072,"exact",9072,9072],[4,14,"u","(8,4,1,1)",13650,10500,"exact",10500,10500],[4,14,"u","(8,3,3)",7007,5446,"exact",5446,5446],[4,14,"u","(8,3,2,1)",23296,18704,"exact",18704,18704],[4,14,"u","(8,3,1,1,1)",15015,12376,"exact",12376,12376],[4,14,"u","(8,2,2,2)",7644,6384,"exact",6384,6384],[4,14,"u","(8,2,2,1,1)",14014,11886,"exact",11886,11886],[4,14,"u","(8,2,1,1,1,1)",8085,7098,"exact",7098,7098],[4,14,"u","(8,1,1,1,1,1,1)",1716,1596,"exact",1596,1596],[4,14,"u","(7,7)",429,302,"exact",302,302],[4,14,"u","(7,6,1)",4576,3548,"exact",3548,3548],[4,14,"u","(7,5,2)",14014,11620,"exact",11620,11620],[4,14,"u","(7,5,1,1)",15444,12972,"exact",12972,12972],[4,14,"u","(7,4,3)",16016,13832,"exact",13832,13832],[4,14,"u","(7,4,2,1)",42042,37044,"exact",37044,37044],[4,14,"u","(7,4,1,1,1)",24960,22364,"exact",22364,22364],[4,14,"u","(7,3,3,1)",27027,24402,"exact",24402,24402],[4,14,"u","(7,3,2,2)",28028,25648,"exact",25648,25648],[4,14,"u","(7,3,2,1,1)",47775,44170,"exact",44170,44170],[4,14,"u","(7,3,1,1,1,1)",21450,20210,"exact",20210,20210],[4,14,"u","(7,2,2,2,1)",20384,19292,"exact",19292,19292],[4,14,"u","(7,2,2,1,1,1)",21021,20160,"exact",20160,20160],[4,14,"u","(7,2,1,1,1,1,1)",9504,9288,"exact",9288,9288],[4,14,"u","(7,1,1,1,1,1,1,1)",1716,1716,"exact",1716,1716],[4,14,"u","(6,6,2)",6435,5520,"exact",5520,5520],[4,14,"u","(6,6,1,1)",7007,6076,"exact",6076,6076],[4,14,"u","(6,5,3)",15015,13500,"exact",13500,13500],[4,14,"u","(6,5,2,1)",36608,33416,"exact",33416,33416],[4,14,"u","(6,5,1,1,1)",21021,19432,"exact",19432,19432],[4,14,"u","(6,4,4)",9009,8283,"exact",8283,8283],[4,14,"u","(6,4,3,1)",50050,46945,"exact",46945,46945],[4,14,"u","(6,4,2,2)",42042,39792,"exact",39792,39792],[4,14,"u","(6,4,2,1,1)",69498,66231,"exact",66231,66231],[4,14,"u","(6,4,1,1,1,1)",28665,27657,"exact",27657,27657],[4,14,"u","(6,3,3,2)",35035,33605,"exact",33605,33605],[4,14,"u","(6,3,3,1,1)",48048,46388,"exact",46388,46388],[4,14,"u","(6,3,2,2,1)",63063,61335,"exact",61335,61335],[4,14,"u","(6,3,2,1,1,1)",59904,58680,"exact",58680,58680],[4,14,"u","(6,3,1,1,1,1,1)",21021,20797,"exact",20797,20797],[4,14,"u","(6,2,2,2,2)",14014,13819,"exact",13819,13819],[4,14,"u","(6,2,2,2,1,1)",28665,28350,"exact",28350,28350],[4,14,"u","(6,2,2,1,1,1,1)",21450,21330,"exact",21330,21330],[4,14,"u","(6,2,1,1,1,1,1,1)",8085,8085,"exact",8085,8085],[4,14,"u","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[4,14,"u","(5,5,4)",6006,5615,"exact",5615,5615],[4,14,"u","(5,5,3,1)",27027,25689,"exact",25689,25689],[4,14,"u","(5,5,2,2)",21450,20540,"exact",20540,20540],[4,14,"u","(5,5,2,1,1)",35035,33735,"exact",33735,33735],[4,14,"u","(5,5,1,1,1,1)",14014,13629,"exact",13629,13629],[4,14,"u","(5,4,4,1)",21021,20224,"exact",20224,20224],[4,14,"u","(5,4,3,2)",48048,46708,"exact",46708,46708],[4,14,"u","(5,4,3,1,1)",64064,62556,"exact",62556,62556],[4,14,"u","(5,4,2,2,1)",68640,67380,"exact",67380,67380],[4,14,"u","(5,4,2,1,1,1)",63063,62208,"exact",62208,62208],[4,14,"u","(5,4,1,1,1,1,1)",20384,20244,"exact",20244,20244],[4,14,"u","(5,3,3,3)",15015,14745,"exact",14745,14745],[4,14,"u","(5,3,3,2,1)",64064,63252,"exact",63252,63252],[4,14,"u","(5,3,3,1,1,1)",48048,47612,"exact",47612,47612],[4,14,"u","(5,3,2,2,2)",35035,34770,"exact",34770,34770],[4,14,"u","(5,3,2,2,1,1)",69498,69093,"exact",69093,69093],[4,14,"u","(5,3,2,1,1,1,1)",47775,47635,"exact",47635,47635],[4,14,"u","(5,3,1,1,1,1,1,1)",14014,14014,"exact",14014,14014],[4,14,"u","(5,2,2,2,2,1)",21021,20981,"exact",20981,20981],[4,14,"u","(5,2,2,2,1,1,1)",24960,24940,"exact",24940,24940],[4,14,"u","(5,2,2,1,1,1,1,1)",15015,15015,"exact",15015,15015],[4,14,"u","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[4,14,"u","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[4,14,"u","(4,4,4,2)",12012,11794,"exact",11794,11794],[4,14,"u","(4,4,4,1,1)",15015,14786,"exact",14786,14786],[4,14,"u","(4,4,3,3)",12012,11850,"exact",11850,11850],[4,14,"u","(4,4,3,2,1)",48048,47592,"exact",47592,47592],[4,14,"u","(4,4,3,1,1,1)",35035,34798,"exact",34798,34798],[4,14,"u","(4,4,2,2,2)",21450,21330,"exact",21330,21330],[4,14,"u","(4,4,2,2,1,1)",42042,41862,"exact",41862,41862],[4,14,"u","(4,4,2,1,1,1,1)",28028,27968,"exact",27968,27968],[4,14,"u","(4,4,1,1,1,1,1,1)",7644,7644,"exact",7644,7644],[4,14,"u","(4,3,3,3,1)",21021,20913,"exact",20913,20913],[4,14,"u","(4,3,3,2,2)",27027,26928,"exact",26928,26928],[4,14,"u","(4,3,3,2,1,1)",50050,49915,"exact",49915,49915],[4,14,"u","(4,3,3,1,1,1,1)",27027,26991,"exact",26991,26991],[4,14,"u","(4,3,2,2,2,1)",36608,36568,"exact",36568,36568],[4,14,"u","(4,3,2,2,1,1,1)",42042,42022,"exact",42022,42022],[4,14,"u","(4,3,2,1,1,1,1,1)",23296,23296,"exact",23296,23296],[4,14,"u","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[4,14,"u","(4,2,2,2,2,2)",7007,7007,"exact",7007,7007],[4,14,"u","(4,2,2,2,2,1,1)",15444,15444,"exact",15444,15444],[4,14,"u","(4,2,2,2,1,1,1,1)",13650,13650,"exact",13650,13650],[4,14,"u","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[4,14,"u","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[4,14,"u","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[4,14,"u","(3,3,3,3,2)",6006,5997,"exact",5997,5997],[4,14,"u","(3,3,3,3,1,1)",9009,9000,"exact",9000,9000],[4,14,"u","(3,3,3,2,2,1)",15015,15007,"exact",15007,15007],[4,14,"u","(3,3,3,2,1,1,1)",16016,16012,"exact",16012,16012],[4,14,"u","(3,3,3,1,1,1,1,1)",7007,7007,"exact",7007,7007],[4,14,"u","(3,3,2,2,2,2)",6435,6435,"exact",6435,6435],[4,14,"u","(3,3,2,2,2,1,1)",14014,14014,"exact",14014,14014],[4,14,"u","(3,3,2,2,1,1,1,1)",12012,12012,"exact",12012,12012],[4,14,"u","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[4,14,"u","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[4,14,"u","(3,2,2,2,2,2,1)",4576,4576,"exact",4576,4576],[4,14,"u","(3,2,2,2,2,1,1,1)",6006,6006,"exact",6006,6006],[4,14,"u","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[4,14,"u","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[4,14,"u","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[4,14,"u","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[4,14,"u","(2,2,2,2,2,2,2)",429,429,"exact",429,429],[4,14,"u","(2,2,2,2,2,2,1,1)",1001,1001,"exact",1001,1001],[4,14,"u","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[4,14,"u","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[4,14,"u","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[4,14,"u","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[4,14,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[4,14,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,15,"u","(15)",1,0,"exact",0,0],[4,15,"u","(14,1)",14,0,"exact",0,0],[4,15,"u","(13,2)",90,0,"exact",0,0],[4,15,"u","(13,1,1)",91,0,"exact",0,0],[4,15,"u","(12,3)",350,0,"exact",0,0],[4,15,"u","(12,2,1)",715,0,"exact",0,0],[4,15,"u","(12,1,1,1)",364,0,"exact",0,0],[4,15,"u","(11,4)",910,330,"exact",330,330],[4,15,"u","(11,3,1)",2835,990,"exact",990,990],[4,15,"u","(11,2,2)",1925,660,"exact",660,660],[4,15,"u","(11,2,1,1)",2925,990,"exact",990,990],[4,15,"u","(11,1,1,1,1)",1001,330,"exact",330,330],[4,15,"u","(10,5)",1638,972,"exact",972,972],[4,15,"u","(10,4,1)",7007,4368,"exact",4368,4368],[4,15,"u","(10,3,2)",9100,5820,"exact",5820,5820],[4,15,"u","(10,3,1,1)",11088,7272,"exact",7272,7272],[4,15,"u","(10,2,2,1)",9450,6300,"exact",6300,6300],[4,15,"u","(10,2,1,1,1)",7722,5328,"exact",5328,5328],[4,15,"u","(10,1,1,1,1,1)",2002,1452,"exact",1452,1452],[4,15,"u","(9,6)",2002,1428,"exact",1428,1428],[4,15,"u","(9,5,1)",11375,8670,"exact",8670,8670],[4,15,"u","(9,4,2)",22113,17658,"exact",17658,17658],[4,15,"u","(9,4,1,1)",25025,20280,"exact",20280,20280],[4,15,"u","(9,3,3)",12740,10416,"exact",10416,10416],[4,15,"u","(9,3,2,1)",42042,35280,"exact",35280,35280],[4,15,"u","(9,3,1,1,1)",26950,23100,"exact",23100,23100],[4,15,"u","(9,2,2,2)",13650,11826,"exact",11826,11826],[4,15,"u","(9,2,2,1,1)",24948,21888,"exact",21888,21888],[4,15,"u","(9,2,1,1,1,1)",14300,12900,"exact",12900,12900],[4,15,"u","(9,1,1,1,1,1,1)",3003,2838,"exact",2838,2838],[4,15,"u","(8,7)",1430,1100,"exact",1100,1100],[4,15,"u","(8,6,1)",11583,9582,"exact",9582,9582],[4,15,"u","(8,5,2)",32032,27872,"exact",27872,27872],[4,15,"u","(8,5,1,1)",35100,30840,"exact",30840,30840],[4,15,"u","(8,4,3)",35035,31430,"exact",31430,31430],[4,15,"u","(8,4,2,1)",91000,82880,"exact",82880,82880],[4,15,"u","(8,4,1,1,1)",53625,49460,"exact",49460,49460],[4,15,"u","(8,3,3,1)",57330,53172,"exact",53172,53172],[4,15,"u","(8,3,2,2)",58968,55248,"exact",55248,55248],[4,15,"u","(8,3,2,1,1)",100100,94508,"exact",94508,94508],[4,15,"u","(8,3,1,1,1,1)",44550,42660,"exact",42660,42660],[4,15,"u","(8,2,2,2,1)",42042,40390,"exact",40390,40390],[4,15,"u","(8,2,2,1,1,1)",43120,41832,"exact",41832,41832],[4,15,"u","(8,2,1,1,1,1,1)",19305,18990,"exact",18990,18990],[4,15,"u","(8,1,1,1,1,1,1,1)",3432,3432,"exact",3432,3432],[4,15,"u","(7,7,1)",5005,4270,"exact",4270,4270],[4,15,"u","(7,6,2)",25025,22540,"exact",22540,22540],[4,15,"u","(7,6,1,1)",27027,24528,"exact",24528,24528],[4,15,"u","(7,5,3)",45045,41904,"exact",41904,41904],[4,15,"u","(7,5,2,1)",108108,101640,"exact",101640,101640],[4,15,"u","(7,5,1,1,1)",61425,58260,"exact",58260,58260],[4,15,"u","(7,4,4)",25025,23635,"exact",23635,23635],[4,15,"u","(7,4,3,1)",135135,129423,"exact",129423,129423],[4,15,"u","(7,4,2,2)",112112,108052,"exact",108052,108052],[4,15,"u","(7,4,2,1,1)",184275,178437,"exact",178437,178437],[4,15,"u","(7,4,1,1,1,1)",75075,73315,"exact",73315,73315],[4,15,"u","(7,3,3,2)",90090,87615,"exact",87615,87615],[4,15,"u","(7,3,3,1,1)",122850,120000,"exact",120000,120000],[4,15,"u","(7,3,2,2,1)",159250,156345,"exact",156345,156345],[4,15,"u","(7,3,2,1,1,1)",150150,148120,"exact",148120,148120],[4,15,"u","(7,3,1,1,1,1,1)",51975,51615,"exact",51615,51615],[4,15,"u","(7,2,2,2,2)",34398,34083,"exact",34083,34083],[4,15,"u","(7,2,2,2,1,1)",70070,69566,"exact",69566,69566],[4,15,"u","(7,2,2,1,1,1,1)",51975,51786,"exact",51786,51786],[4,15,"u","(7,2,1,1,1,1,1,1)",19305,19305,"exact",19305,19305],[4,15,"u","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[4,15,"u","(6,6,3)",21450,20220,"exact",20220,20220],[4,15,"u","(6,6,2,1)",50050,47600,"exact",47600,47600],[4,15,"u","(6,6,1,1,1)",28028,26852,"exact",26852,26852],[4,15,"u","(6,5,4)",30030,28806,"exact",28806,28806],[4,15,"u","(6,5,3,1)",128700,124770,"exact",124770,124770],[4,15,"u","(6,5,2,2)",100100,97504,"exact",97504,97504],[4,15,"u","(6,5,2,1,1)",162162,158502,"exact",158502,158502],[4,15,"u","(6,5,1,1,1,1)",63700,62650,"exact",62650,62650],[4,15,"u","(6,4,4,1)",80080,78212,"exact",78212,78212],[4,15,"u","(6,4,3,2)",175175,172210,"exact",172210,172210],[4,15,"u","(6,4,3,1,1)",231660,228360,"exact",228360,228360],[4,15,"u","(6,4,2,2,1)",243243,240570,"exact",240570,240570],[4,15,"u","(6,4,2,1,1,1)",221130,219348,"exact",219348,219348],[4,15,"u","(6,4,1,1,1,1,1)",70070,69790,"exact",69790,69790],[4,15,"u","(6,3,3,3)",50050,49510,"exact",49510,49510],[4,15,"u","(6,3,3,2,1)",210210,208620,"exact",208620,208620],[4,15,"u","(6,3,3,1,1,1)",156000,155160,"exact",155160,155160],[4,15,"u","(6,3,2,2,2)",112112,111612,"exact",111612,111612],[4,15,"u","(6,3,2,2,1,1)",221130,220374,"exact",220374,220374],[4,15,"u","(6,3,2,1,1,1,1)",150150,149894,"exact",149894,149894],[4,15,"u","(6,3,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[4,15,"u","(6,2,2,2,2,1)",63700,63630,"exact",63630,63630],[4,15,"u","(6,2,2,2,1,1,1)",75075,75040,"exact",75040,75040],[4,15,"u","(6,2,2,1,1,1,1,1)",44550,44550,"exact",44550,44550],[4,15,"u","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[4,15,"u","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[4,15,"u","(5,5,5)",6006,5831,"exact",5831,5831],[4,15,"u","(5,5,4,1)",54054,53052,"exact",53052,53052],[4,15,"u","(5,5,3,2)",96525,95241,"exact",95241,95241],[4,15,"u","(5,5,3,1,1)",126126,124716,"exact",124716,124716],[4,15,"u","(5,5,2,2,1)",125125,124055,"exact",124055,124055],[4,15,"u","(5,5,2,1,1,1)",112112,111412,"exact",111412,111412],[4,15,"u","(5,5,1,1,1,1,1)",34398,34293,"exact",34293,34293],[4,15,"u","(5,4,4,2)",81081,80286,"exact",80286,80286],[4,15,"u","(5,4,4,1,1)",100100,99278,"exact",99278,99278],[4,15,"u","(5,4,3,3)",75075,74535,"exact",74535,74535],[4,15,"u","(5,4,3,2,1)",292864,291392,"exact",291392,291392],[4,15,"u","(5,4,3,1,1,1)",210210,209462,"exact",209462,209462],[4,15,"u","(5,4,2,2,2)",125125,124760,"exact",124760,124760],[4,15,"u","(5,4,2,2,1,1)",243243,242703,"exact",242703,242703],[4,15,"u","(5,4,2,1,1,1,1)",159250,159075,"exact",159075,159075],[4,15,"u","(5,4,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[4,15,"u","(5,3,3,3,1)",100100,99830,"exact",99830,99830],[4,15,"u","(5,3,3,2,2)",126126,125886,"exact",125886,125886],[4,15,"u","(5,3,3,2,1,1)",231660,231336,"exact",231336,231336],[4,15,"u","(5,3,3,1,1,1,1)",122850,122766,"exact",122766,122766],[4,15,"u","(5,3,2,2,2,1)",162162,162072,"exact",162072,162072],[4,15,"u","(5,3,2,2,1,1,1)",184275,184230,"exact",184230,184230],[4,15,"u","(5,3,2,1,1,1,1,1)",100100,100100,"exact",100100,100100],[4,15,"u","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[4,15,"u","(5,2,2,2,2,2)",28028,28028,"exact",28028,28028],[4,15,"u","(5,2,2,2,2,1,1)",61425,61425,"exact",61425,61425],[4,15,"u","(5,2,2,2,1,1,1,1)",53625,53625,"exact",53625,53625],[4,15,"u","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[4,15,"u","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[4,15,"u","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[4,15,"u","(4,4,4,3)",24024,23916,"exact",23916,23916],[4,15,"u","(4,4,4,2,1)",75075,74840,"exact",74840,74840],[4,15,"u","(4,4,4,1,1,1)",50050,49940,"exact",49940,49940],[4,15,"u","(4,4,3,3,1)",81081,80919,"exact",80919,80919],[4,15,"u","(4,4,3,2,2)",96525,96390,"exact",96390,96390],[4,15,"u","(4,4,3,2,1,1)",175175,174995,"exact",174995,174995],[4,15,"u","(4,4,3,1,1,1,1)",90090,90045,"exact",90045,90045],[4,15,"u","(4,4,2,2,2,1)",100100,100060,"exact",100060,100060],[4,15,"u","(4,4,2,2,1,1,1)",112112,112092,"exact",112092,112092],[4,15,"u","(4,4,2,1,1,1,1,1)",58968,58968,"exact",58968,58968],[4,15,"u","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[4,15,"u","(4,3,3,3,2)",54054,54018,"exact",54018,54018],[4,15,"u","(4,3,3,3,1,1)",80080,80044,"exact",80044,80044],[4,15,"u","(4,3,3,2,2,1)",128700,128670,"exact",128670,128670],[4,15,"u","(4,3,3,2,1,1,1)",135135,135120,"exact",135120,135120],[4,15,"u","(4,3,3,1,1,1,1,1)",57330,57330,"exact",57330,57330],[4,15,"u","(4,3,2,2,2,2)",50050,50050,"exact",50050,50050],[4,15,"u","(4,3,2,2,2,1,1)",108108,108108,"exact",108108,108108],[4,15,"u","(4,3,2,2,1,1,1,1)",91000,91000,"exact",91000,91000],[4,15,"u","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[4,15,"u","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[4,15,"u","(4,2,2,2,2,2,1)",27027,27027,"exact",27027,27027],[4,15,"u","(4,2,2,2,2,1,1,1)",35100,35100,"exact",35100,35100],[4,15,"u","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[4,15,"u","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[4,15,"u","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[4,15,"u","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[4,15,"u","(3,3,3,3,3)",6006,6005,"exact",6005,6005],[4,15,"u","(3,3,3,3,2,1)",30030,30028,"exact",30028,30028],[4,15,"u","(3,3,3,3,1,1,1)",25025,25024,"exact",25024,25024],[4,15,"u","(3,3,3,2,2,2)",21450,21450,"exact",21450,21450],[4,15,"u","(3,3,3,2,2,1,1)",45045,45045,"exact",45045,45045],[4,15,"u","(3,3,3,2,1,1,1,1)",35035,35035,"exact",35035,35035],[4,15,"u","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[4,15,"u","(3,3,2,2,2,2,1)",25025,25025,"exact",25025,25025],[4,15,"u","(3,3,2,2,2,1,1,1)",32032,32032,"exact",32032,32032],[4,15,"u","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[4,15,"u","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[4,15,"u","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[4,15,"u","(3,2,2,2,2,2,2)",5005,5005,"exact",5005,5005],[4,15,"u","(3,2,2,2,2,2,1,1)",11583,11583,"exact",11583,11583],[4,15,"u","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[4,15,"u","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[4,15,"u","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[4,15,"u","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[4,15,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[4,15,"u","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[4,15,"u","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[4,15,"u","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[4,15,"u","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[4,15,"u","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[4,15,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[4,15,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[4,15,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,16,"u","(16)",1,0,"exact",0,0],[4,16,"u","(15,1)",15,0,"exact",0,0],[4,16,"u","(14,2)",104,0,"exact",0,0],[4,16,"u","(14,1,1)",105,0,"exact",0,0],[4,16,"u","(13,3)",440,0,"exact",0,0],[4,16,"u","(13,2,1)",896,0,"exact",0,0],[4,16,"u","(13,1,1,1)",455,0,"exact",0,0],[4,16,"u","(12,4)",1260,495,"exact",495,495],[4,16,"u","(12,3,1)",3900,1485,"exact",1485,1485],[4,16,"u","(12,2,2)",2640,990,"exact",990,990],[4,16,"u","(12,2,1,1)",4004,1485,"exact",1485,1485],[4,16,"u","(12,1,1,1,1)",1365,495,"exact",495,495],[4,16,"u","(11,5)",2548,1617,"exact",1617,1617],[4,16,"u","(11,4,1)",10752,7128,"exact",7128,7128],[4,16,"u","(11,3,2)",13860,9405,"exact",9405,9405],[4,16,"u","(11,3,1,1)",16848,11682,"exact",11682,11682],[4,16,"u","(11,2,2,1)",14300,10065,"exact",10065,10065],[4,16,"u","(11,2,1,1,1)",11648,8448,"exact",8448,8448],[4,16,"u","(11,1,1,1,1,1)",3003,2277,"exact",2277,2277],[4,16,"u","(10,6)",3640,2760,"exact",2760,2760],[4,16,"u","(10,5,1)",20020,16035,"exact",16035,16035],[4,16,"u","(10,4,2)",38220,31815,"exact",31815,31815],[4,16,"u","(10,4,1,1)",43120,36330,"exact",36330,36330],[4,16,"u","(10,3,3)",21840,18540,"exact",18540,18540],[4,16,"u","(10,3,2,1)",71680,62160,"exact",62160,62160],[4,16,"u","(10,3,1,1,1)",45760,40380,"exact",40380,40380],[4,16,"u","(10,2,2,2)",23100,20565,"exact",20565,20565],[4,16,"u","(10,2,2,1,1)",42120,37890,"exact",37890,37890],[4,16,"u","(10,2,1,1,1,1)",24024,22110,"exact",22110,22110],[4,16,"u","(10,1,1,1,1,1,1)",5005,4785,"exact",4785,4785],[4,16,"u","(9,7)",3432,2808,"exact",2808,2808],[4,16,"u","(9,6,1)",24960,21600,"exact",21600,21600],[4,16,"u","(9,5,2)",65520,58950,"exact",58950,58950],[4,16,"u","(9,5,1,1)",71500,64815,"exact",64815,64815],[4,16,"u","(9,4,3)",69888,64368,"exact",64368,64368],[4,16,"u","(9,4,2,1)",180180,167895,"exact",167895,167895],[4,16,"u","(9,4,1,1,1)",105600,99360,"exact",99360,99360],[4,16,"u","(9,3,3,1)",112112,105924,"exact",105924,105924],[4,16,"u","(9,3,2,2)",114660,109179,"exact",109179,109179],[4,16,"u","(9,3,2,1,1)",194040,185850,"exact",185850,185850],[4,16,"u","(9,3,1,1,1,1)",85800,83070,"exact",83070,83070],[4,16,"u","(9,2,2,2,1)",80640,78264,"exact",78264,78264],[4,16,"u","(9,2,2,1,1,1)",82368,80532,"exact",80532,80532],[4,16,"u","(9,2,1,1,1,1,1)",36608,36168,"exact",36168,36168],[4,16,"u","(9,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[4,16,"u","(8,8)",1430,1205,"exact",1205,1205],[4,16,"u","(8,7,1)",18018,16107,"exact",16107,16107],[4,16,"u","(8,6,2)",68640,63780,"exact",63780,63780],[4,16,"u","(8,6,1,1)",73710,68865,"exact",68865,68865],[4,16,"u","(8,5,3)",112112,106582,"exact",106582,106582],[4,16,"u","(8,5,2,1)",266240,255040,"exact",255040,255040],[4,16,"u","(8,5,1,1,1)",150150,144740,"exact",144740,144740],[4,16,"u","(8,4,4)",60060,57705,"exact",57705,57705],[4,16,"u","(8,4,3,1)",318500,309085,"exact",309085,309085],[4,16,"u","(8,4,2,2)",262080,255480,"exact",255480,255480],[4,16,"u","(8,4,2,1,1)",429000,419580,"exact",419580,419580],[4,16,"u","(8,4,1,1,1,1)",173250,170460,"exact",170460,170460],[4,16,"u","(8,3,3,2)",206388,202461,"exact",202461,202461],[4,16,"u","(8,3,3,1,1)",280280,275786,"exact",275786,275786],[4,16,"u","(8,3,2,2,1)",360360,355848,"exact",355848,355848],[4,16,"u","(8,3,2,1,1,1)",337920,334800,"exact",334800,334800],[4,16,"u","(8,3,1,1,1,1,1)",115830,115290,"exact",115290,115290],[4,16,"u","(8,2,2,2,2)",76440,75964,"exact",75964,75964],[4,16,"u","(8,2,2,2,1,1)",155232,154476,"exact",154476,154476],[4,16,"u","(8,2,2,1,1,1,1)",114400,114120,"exact",114120,114120],[4,16,"u","(8,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[4,16,"u","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[4,16,"u","(7,7,2)",30030,28245,"exact",28245,28245],[4,16,"u","(7,7,1,1)",32032,30268,"exact",30268,30268],[4,16,"u","(7,6,3)",91520,88120,"exact",88120,88120],[4,16,"u","(7,6,2,1)",210210,203595,"exact",203595,203595],[4,16,"u","(7,6,1,1,1)",116480,113360,"exact",113360,113360],[4,16,"u","(7,5,4)",100100,97465,"exact",97465,97465],[4,16,"u","(7,5,3,1)",416988,408861,"exact",408861,408861],[4,16,"u","(7,5,2,2)",320320,315056,"exact",315056,315056],[4,16,"u","(7,5,2,1,1)",515970,508620,"exact",508620,508620],[4,16,"u","(7,5,1,1,1,1)",200200,198140,"exact",198140,198140],[4,16,"u","(7,4,4,1)",240240,236670,"exact",236670,236670],[4,16,"u","(7,4,3,2)",512512,507044,"exact",507044,507044],[4,16,"u","(7,4,3,1,1)",673920,667884,"exact",667884,667884],[4,16,"u","(7,4,2,2,1)",698880,694092,"exact",694092,694092],[4,16,"u","(7,4,2,1,1,1)",630630,627480,"exact",627480,627480],[4,16,"u","(7,4,1,1,1,1,1)",197120,196640,"exact",196640,196640],[4,16,"u","(7,3,3,3)",140140,139195,"exact",139195,139195],[4,16,"u","(7,3,3,2,1)",582400,579660,"exact",579660,579660],[4,16,"u","(7,3,3,1,1,1)",429000,427570,"exact",427570,427570],[4,16,"u","(7,3,2,2,2)",305760,304920,"exact",304920,304920],[4,16,"u","(7,3,2,2,1,1)",600600,599340,"exact",599340,599340],[4,16,"u","(7,3,2,1,1,1,1)",404250,403830,"exact",403830,403830],[4,16,"u","(7,3,1,1,1,1,1,1)",114400,114400,"exact",114400,114400],[4,16,"u","(7,2,2,2,2,1)",168168,168056,"exact",168056,168056],[4,16,"u","(7,2,2,2,1,1,1)",197120,197064,"exact",197064,197064],[4,16,"u","(7,2,2,1,1,1,1,1)",115830,115830,"exact",115830,115830],[4,16,"u","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[4,16,"u","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[4,16,"u","(6,6,4)",51480,50370,"exact",50370,50370],[4,16,"u","(6,6,3,1)",200200,197030,"exact",197030,197030],[4,16,"u","(6,6,2,2)",150150,148155,"exact",148155,148155],[4,16,"u","(6,6,2,1,1)",240240,237480,"exact",237480,237480],[4,16,"u","(6,6,1,1,1,1)",91728,90972,"exact",90972,90972],[4,16,"u","(6,5,5)",36036,35421,"exact",35421,35421],[4,16,"u","(6,5,4,1)",292864,289736,"exact",289736,289736],[4,16,"u","(6,5,3,2)",500500,496715,"exact",496715,496715],[4,16,"u","(6,5,3,1,1)",648648,644538,"exact",644538,644538],[4,16,"u","(6,5,2,2,1)",630630,627606,"exact",627606,627606],[4,16,"u","(6,5,2,1,1,1)",559104,557160,"exact",557160,557160],[4,16,"u","(6,5,1,1,1,1,1)",168168,167888,"exact",167888,167888],[4,16,"u","(6,4,4,2)",336336,334464,"exact",334464,334464],[4,16,"u","(6,4,4,1,1)",411840,409926,"exact",409926,409926],[4,16,"u","(6,4,3,3)",300300,299085,"exact",299085,299085],[4,16,"u","(6,4,3,2,1)",1153152,1149912,"exact",1149912,1149912],[4,16,"u","(6,4,3,1,1,1)",819000,817380,"exact",817380,817380],[4,16,"u","(6,4,2,2,2)",480480,479706,"exact",479706,479706],[4,16,"u","(6,4,2,2,1,1)",928746,927612,"exact",927612,927612],[4,16,"u","(6,4,2,1,1,1,1)",600600,600240,"exact",600240,600240],[4,16,"u","(6,4,1,1,1,1,1,1)",155232,155232,"exact",155232,155232],[4,16,"u","(6,3,3,3,1)",360360,359820,"exact",359820,359820],[4,16,"u","(6,3,3,2,2)",448448,447978,"exact",447978,447978],[4,16,"u","(6,3,3,2,1,1)",819000,818370,"exact",818370,818370],[4,16,"u","(6,3,3,1,1,1,1)",429000,428840,"exact",428840,428840],[4,16,"u","(6,3,2,2,2,1)",559104,558936,"exact",558936,558936],[4,16,"u","(6,3,2,2,1,1,1)",630630,630546,"exact",630546,630546],[4,16,"u","(6,3,2,1,1,1,1,1)",337920,337920,"exact",337920,337920],[4,16,"u","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[4,16,"u","(6,2,2,2,2,2)",91728,91728,"exact",91728,91728],[4,16,"u","(6,2,2,2,2,1,1)",200200,200200,"exact",200200,200200],[4,16,"u","(6,2,2,2,1,1,1,1)",173250,173250,"exact",173250,173250],[4,16,"u","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[4,16,"u","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[4,16,"u","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[4,16,"u","(5,5,5,1)",60060,59615,"exact",59615,59615],[4,16,"u","(5,5,4,2)",231660,230649,"exact",230649,230649],[4,16,"u","(5,5,4,1,1)",280280,279260,"exact",279260,279260],[4,16,"u","(5,5,3,3)",171600,171060,"exact",171060,171060],[4,16,"u","(5,5,3,2,1)",640640,639244,"exact",639244,639244],[4,16,"u","(5,5,3,1,1,1)",448448,447762,"exact",447762,447762],[4,16,"u","(5,5,2,2,2)",250250,249940,"exact",249940,249940],[4,16,"u","(5,5,2,2,1,1)",480480,480030,"exact",480030,480030],[4,16,"u","(5,5,2,1,1,1,1)",305760,305620,"exact",305620,305620],[4,16,"u","(5,5,1,1,1,1,1,1)",76440,76440,"exact",76440,76440],[4,16,"u","(5,4,4,3)",180180,179775,"exact",179775,179775],[4,16,"u","(5,4,4,2,1)",549120,548268,"exact",548268,548268],[4,16,"u","(5,4,4,1,1,1)",360360,359970,"exact",359970,359970],[4,16,"u","(5,4,3,3,1)",549120,548580,"exact",548580,548580],[4,16,"u","(5,4,3,2,2)",640640,640204,"exact",640204,640204],[4,16,"u","(5,4,3,2,1,1)",1153152,1152576,"exact",1152576,1152576],[4,16,"u","(5,4,3,1,1,1,1)",582400,582260,"exact",582260,582260],[4,16,"u","(5,4,2,2,2,1)",630630,630510,"exact",630510,630510],[4,16,"u","(5,4,2,2,1,1,1)",698880,698820,"exact",698820,698820],[4,16,"u","(5,4,2,1,1,1,1,1)",360360,360360,"exact",360360,360360],[4,16,"u","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[4,16,"u","(5,3,3,3,2)",280280,280190,"exact",280190,280190],[4,16,"u","(5,3,3,3,1,1)",411840,411750,"exact",411750,411750],[4,16,"u","(5,3,3,2,2,1)",648648,648576,"exact",648576,648576],[4,16,"u","(5,3,3,2,1,1,1)",673920,673884,"exact",673884,673884],[4,16,"u","(5,3,3,1,1,1,1,1)",280280,280280,"exact",280280,280280],[4,16,"u","(5,3,2,2,2,2)",240240,240240,"exact",240240,240240],[4,16,"u","(5,3,2,2,2,1,1)",515970,515970,"exact",515970,515970],[4,16,"u","(5,3,2,2,1,1,1,1)",429000,429000,"exact",429000,429000],[4,16,"u","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[4,16,"u","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[4,16,"u","(5,2,2,2,2,2,1)",116480,116480,"exact",116480,116480],[4,16,"u","(5,2,2,2,2,1,1,1)",150150,150150,"exact",150150,150150],[4,16,"u","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[4,16,"u","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[4,16,"u","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[4,16,"u","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[4,16,"u","(4,4,4,4)",24024,23997,"exact",23997,23997],[4,16,"u","(4,4,4,3,1)",180180,180072,"exact",180072,180072],[4,16,"u","(4,4,4,2,2)",171600,171530,"exact",171530,171530],[4,16,"u","(4,4,4,2,1,1)",300300,300210,"exact",300210,300210],[4,16,"u","(4,4,4,1,1,1,1)",140140,140120,"exact",140120,140120],[4,16,"u","(4,4,3,3,2)",231660,231606,"exact",231606,231606],[4,16,"u","(4,4,3,3,1,1)",336336,336282,"exact",336282,336282],[4,16,"u","(4,4,3,2,2,1)",500500,500460,"exact",500460,500460],[4,16,"u","(4,4,3,2,1,1,1)",512512,512492,"exact",512492,512492],[4,16,"u","(4,4,3,1,1,1,1,1)",206388,206388,"exact",206388,206388],[4,16,"u","(4,4,2,2,2,2)",150150,150150,"exact",150150,150150],[4,16,"u","(4,4,2,2,2,1,1)",320320,320320,"exact",320320,320320],[4,16,"u","(4,4,2,2,1,1,1,1)",262080,262080,"exact",262080,262080],[4,16,"u","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[4,16,"u","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[4,16,"u","(4,3,3,3,3)",60060,60056,"exact",60056,60056],[4,16,"u","(4,3,3,3,2,1)",292864,292856,"exact",292856,292856],[4,16,"u","(4,3,3,3,1,1,1)",240240,240236,"exact",240236,240236],[4,16,"u","(4,3,3,2,2,2)",200200,200200,"exact",200200,200200],[4,16,"u","(4,3,3,2,2,1,1)",416988,416988,"exact",416988,416988],[4,16,"u","(4,3,3,2,1,1,1,1)",318500,318500,"exact",318500,318500],[4,16,"u","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[4,16,"u","(4,3,2,2,2,2,1)",210210,210210,"exact",210210,210210],[4,16,"u","(4,3,2,2,2,1,1,1)",266240,266240,"exact",266240,266240],[4,16,"u","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[4,16,"u","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[4,16,"u","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[4,16,"u","(4,2,2,2,2,2,2)",32032,32032,"exact",32032,32032],[4,16,"u","(4,2,2,2,2,2,1,1)",73710,73710,"exact",73710,73710],[4,16,"u","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[4,16,"u","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[4,16,"u","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[4,16,"u","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[4,16,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[4,16,"u","(3,3,3,3,3,1)",36036,36036,"exact",36036,36036],[4,16,"u","(3,3,3,3,2,2)",51480,51480,"exact",51480,51480],[4,16,"u","(3,3,3,3,2,1,1)",100100,100100,"exact",100100,100100],[4,16,"u","(3,3,3,3,1,1,1,1)",60060,60060,"exact",60060,60060],[4,16,"u","(3,3,3,2,2,2,1)",91520,91520,"exact",91520,91520],[4,16,"u","(3,3,3,2,2,1,1,1)",112112,112112,"exact",112112,112112],[4,16,"u","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[4,16,"u","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[4,16,"u","(3,3,2,2,2,2,2)",30030,30030,"exact",30030,30030],[4,16,"u","(3,3,2,2,2,2,1,1)",68640,68640,"exact",68640,68640],[4,16,"u","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[4,16,"u","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[4,16,"u","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[4,16,"u","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[4,16,"u","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[4,16,"u","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[4,16,"u","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[4,16,"u","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[4,16,"u","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[4,16,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[4,16,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[4,16,"u","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[4,16,"u","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[4,16,"u","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[4,16,"u","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[4,16,"u","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[4,16,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[4,16,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[4,16,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[4,16,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,17,"u","(17)",1,0,"exact",0,0],[4,17,"u","(16,1)",16,0,"exact",0,0],[4,17,"u","(15,2)",119,0,"exact",0,0],[4,17,"u","(15,1,1)",120,0,"exact",0,0],[4,17,"u","(14,3)",544,0,"exact",0,0],[4,17,"u","(14,2,1)",1105,0,"exact",0,0],[4,17,"u","(14,1,1,1)",560,0,"exact",0,0],[4,17,"u","(13,4)",1700,715,"exact",715,715],[4,17,"u","(13,3,1)",5236,2145,"exact",2145,2145],[4,17,"u","(13,2,2)",3536,1430,"exact",1430,1430],[4,17,"u","(13,2,1,1)",5355,2145,"exact",2145,2145],[4,17,"u","(13,1,1,1,1)",1820,715,"exact",715,715],[4,17,"u","(12,5)",3808,2552,"exact",2552,2552],[4,17,"u","(12,4,1)",15912,11088,"exact",11088,11088],[4,17,"u","(12,3,2)",20400,14520,"exact",14520,14520],[4,17,"u","(12,3,1,1)",24752,17952,"exact",17952,17952],[4,17,"u","(12,2,2,1)",20944,15400,"exact",15400,15400],[4,17,"u","(12,2,1,1,1)",17017,12848,"exact",12848,12848],[4,17,"u","(12,1,1,1,1,1)",4368,3432,"exact",3432,3432],[4,17,"u","(11,6)",6188,4917,"exact",4917,4917],[4,17,"u","(11,5,1)",33320,27720,"exact",27720,27720],[4,17,"u","(11,4,2)",62832,53988,"exact",53988,53988],[4,17,"u","(11,4,1,1)",70720,61380,"exact",61380,61380],[4,17,"u","(11,3,3)",35700,31185,"exact",31185,31185],[4,17,"u","(11,3,2,1)",116688,103752,"exact",103752,103752],[4,17,"u","(11,3,1,1,1)",74256,66990,"exact",66990,66990],[4,17,"u","(11,2,2,2)",37400,33990,"exact",33990,33990],[4,17,"u","(11,2,2,1,1)",68068,62403,"exact",62403,62403],[4,17,"u","(11,2,1,1,1,1)",38675,36135,"exact",36135,36135],[4,17,"u","(11,1,1,1,1,1,1)",8008,7722,"exact",7722,7722],[4,17,"u","(10,7)",7072,6048,"exact",6048,6048],[4,17,"u","(10,6,1)",48620,43455,"exact",43455,43455],[4,17,"u","(10,5,2)",123760,114040,"exact",114040,114040],[4,17,"u","(10,5,1,1)",134640,124800,"exact",124800,124800],[4,17,"u","(10,4,3)",129948,121947,"exact",121947,121947],[4,17,"u","(10,4,2,1)",333200,315560,"exact",315560,315560],[4,17,"u","(10,4,1,1,1)",194480,185590,"exact",185590,185590],[4,17,"u","(10,3,3,1)",205632,196848,"exact",196848,196848],[4,17,"u","(10,3,2,2)",209440,201720,"exact",201720,201720],[4,17,"u","(10,3,2,1,1)",353600,342120,"exact",342120,342120],[4,17,"u","(10,3,1,1,1,1)",155584,151800,"exact",151800,151800],[4,17,"u","(10,2,2,2,1)",145860,142575,"exact",142575,142575],[4,17,"u","(10,2,2,1,1,1)",148512,145992,"exact",145992,145992],[4,17,"u","(10,2,1,1,1,1,1)",65637,65043,"exact",65043,65043],[4,17,"u","(10,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[4,17,"u","(9,8)",4862,4293,"exact",4293,4293],[4,17,"u","(9,7,1)",46410,42795,"exact",42795,42795],[4,17,"u","(9,6,2)",159120,150930,"exact",150930,150930],[4,17,"u","(9,6,1,1)",170170,162060,"exact",162060,162060],[4,17,"u","(9,5,3)",247520,238700,"exact",238700,238700],[4,17,"u","(9,5,2,1)",583440,565800,"exact",565800,565800],[4,17,"u","(9,5,1,1,1)",327250,318815,"exact",318815,318815],[4,17,"u","(9,4,4)",129948,126273,"exact",126273,126273],[4,17,"u","(9,4,3,1)",680680,666280,"exact",666280,666280],[4,17,"u","(9,4,2,2)",556920,546930,"exact",546930,546930],[4,17,"u","(9,4,2,1,1)",908820,894645,"exact",894645,894645],[4,17,"u","(9,4,1,1,1,1)",364650,360510,"exact",360510,360510],[4,17,"u","(9,3,3,2)",433160,427308,"exact",427308,427308],[4,17,"u","(9,3,3,1,1)",586432,579768,"exact",579768,579768],[4,17,"u","(9,3,2,2,1)",749700,743085,"exact",743085,743085],[4,17,"u","(9,3,2,1,1,1)",700128,695592,"exact",695592,695592],[4,17,"u","(9,3,1,1,1,1,1)",238238,237468,"exact",237468,237468],[4,17,"u","(9,2,2,2,2)",157080,156396,"exact",156396,156396],[4,17,"u","(9,2,2,2,1,1)",318240,317160,"exact",317160,317160],[4,17,"u","(9,2,2,1,1,1,1)",233376,232980,"exact",232980,232980],[4,17,"u","(9,2,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[4,17,"u","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[4,17,"u","(8,8,1)",19448,18152,"exact",18152,18152],[4,17,"u","(8,7,2)",116688,112032,"exact",112032,112032],[4,17,"u","(8,7,1,1)",123760,119200,"exact",119200,119200],[4,17,"u","(8,6,3)",272272,265538,"exact",265538,265538],[4,17,"u","(8,6,2,1)",618800,605920,"exact",605920,605920],[4,17,"u","(8,6,1,1,1)",340340,334345,"exact",334345,334345],[4,17,"u","(8,5,4)",272272,267512,"exact",267512,267512],[4,17,"u","(8,5,3,1)",1113840,1099560,"exact",1099560,1099560],[4,17,"u","(8,5,2,2)",848640,839520,"exact",839520,839520],[4,17,"u","(8,5,2,1,1)",1361360,1348720,"exact",1348720,1348720],[4,17,"u","(8,5,1,1,1,1)",523600,520120,"exact",520120,520120],[4,17,"u","(8,4,4,1)",618800,612760,"exact",612760,612760],[4,17,"u","(8,4,3,2)",1299480,1290450,"exact",1290450,1290450],[4,17,"u","(8,4,3,1,1)",1701700,1691795,"exact",1691795,1691795],[4,17,"u","(8,4,2,2,1)",1750320,1742580,"exact",1742580,1742580],[4,17,"u","(8,4,2,1,1,1)",1570800,1565760,"exact",1565760,1565760],[4,17,"u","(8,4,1,1,1,1,1)",486200,485450,"exact",485450,485450],[4,17,"u","(8,3,3,3)",346528,345016,"exact",345016,345016],[4,17,"u","(8,3,3,2,1)",1429428,1425095,"exact",1425095,1425095],[4,17,"u","(8,3,3,1,1,1)",1047200,1044960,"exact",1044960,1044960],[4,17,"u","(8,3,2,2,2)",742560,741256,"exact",741256,741256],[4,17,"u","(8,3,2,2,1,1)",1454112,1452168,"exact",1452168,1452168],[4,17,"u","(8,3,2,1,1,1,1)",972400,971760,"exact",971760,971760],[4,17,"u","(8,3,1,1,1,1,1,1)",272272,272272,"exact",272272,272272],[4,17,"u","(8,2,2,2,2,1)",399840,399672,"exact",399672,399672],[4,17,"u","(8,2,2,2,1,1,1)",466752,466668,"exact",466668,466668],[4,17,"u","(8,2,2,1,1,1,1,1)",272272,272272,"exact",272272,272272],[4,17,"u","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[4,17,"u","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[4,17,"u","(7,7,3)",121550,119045,"exact",119045,119045],[4,17,"u","(7,7,2,1)",272272,267568,"exact",267568,267568],[4,17,"u","(7,7,1,1,1)",148512,146348,"exact",146348,146348],[4,17,"u","(7,6,4)",243100,239915,"exact",239915,239915],[4,17,"u","(7,6,3,1)",918918,910182,"exact",910182,910182],[4,17,"u","(7,6,2,2)",680680,675290,"exact",675290,675290],[4,17,"u","(7,6,2,1,1)",1082900,1075515,"exact",1075515,1075515],[4,17,"u","(7,6,1,1,1,1)",408408,406432,"exact",406432,406432],[4,17,"u","(7,5,5)",136136,134726,"exact",134726,134726],[4,17,"u","(7,5,4,1)",1050192,1043472,"exact",1043472,1043472],[4,17,"u","(7,5,3,2)",1750320,1742472,"exact",1742472,1742472],[4,17,"u","(7,5,3,1,1)",2255526,2247075,"exact",2247075,2247075],[4,17,"u","(7,5,2,2,1)",2165800,2159710,"exact",2159710,2159710],[4,17,"u","(7,5,2,1,1,1)",1905904,1902040,"exact",1902040,1902040],[4,17,"u","(7,5,1,1,1,1,1)",565488,564948,"exact",564948,564948],[4,17,"u","(7,4,4,2)",1089088,1085498,"exact",1085498,1085498],[4,17,"u","(7,4,4,1,1)",1326000,1322360,"exact",1322360,1322360],[4,17,"u","(7,4,3,3)",952952,950684,"exact",950684,950684],[4,17,"u","(7,4,3,2,1)",3620864,3614912,"exact",3614912,3614912],[4,17,"u","(7,4,3,1,1,1)",2552550,2549610,"exact",2549610,2549610],[4,17,"u","(7,4,2,2,2)",1485120,1483734,"exact",1483734,1483734],[4,17,"u","(7,4,2,2,1,1)",2858856,2856840,"exact",2856840,2856840],[4,17,"u","(7,4,2,1,1,1,1)",1832600,1831970,"exact",1831970,1831970],[4,17,"u","(7,4,1,1,1,1,1,1)",466752,466752,"exact",466752,466752],[4,17,"u","(7,3,3,3,1)",1082900,1081955,"exact",1081955,1081955],[4,17,"u","(7,3,3,2,2)",1336608,1335798,"exact",1335798,1335798],[4,17,"u","(7,3,3,2,1,1)",2431000,2429920,"exact",2429920,2429920],[4,17,"u","(7,3,3,1,1,1,1)",1262250,1261980,"exact",1261980,1261980],[4,17,"u","(7,3,2,2,2,1)",1633632,1633352,"exact",1633352,1633352],[4,17,"u","(7,3,2,2,1,1,1)",1832600,1832460,"exact",1832460,1832460],[4,17,"u","(7,3,2,1,1,1,1,1)",972400,972400,"exact",972400,972400],[4,17,"u","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[4,17,"u","(7,2,2,2,2,2)",259896,259896,"exact",259896,259896],[4,17,"u","(7,2,2,2,2,1,1)",565488,565488,"exact",565488,565488],[4,17,"u","(7,2,2,2,1,1,1,1)",486200,486200,"exact",486200,486200],[4,17,"u","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[4,17,"u","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[4,17,"u","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[4,17,"u","(6,6,5)",87516,86775,"exact",86775,86775],[4,17,"u","(6,6,4,1)",544544,541720,"exact",541720,541720],[4,17,"u","(6,6,3,2)",850850,847780,"exact",847780,847780],[4,17,"u","(6,6,3,1,1)",1089088,1085808,"exact",1085808,1085808],[4,17,"u","(6,6,2,2,1)",1021020,1018725,"exact",1018725,1018725],[4,17,"u","(6,6,2,1,1,1)",891072,889632,"exact",889632,889632],[4,17,"u","(6,6,1,1,1,1,1)",259896,259700,"exact",259700,259700],[4,17,"u","(6,5,5,1)",388960,387400,"exact",387400,387400],[4,17,"u","(6,5,4,2)",1361360,1358188,"exact",1358188,1358188],[4,17,"u","(6,5,4,1,1)",1633632,1630468,"exact",1630468,1630468],[4,17,"u","(6,5,3,3)",972400,970780,"exact",970780,970780],[4,17,"u","(6,5,3,2,1)",3573570,3569475,"exact",3569475,3569475],[4,17,"u","(6,5,3,1,1,1)",2475200,2473220,"exact",2473220,2473220],[4,17,"u","(6,5,2,2,2)",1361360,1360484,"exact",1360484,1360484],[4,17,"u","(6,5,2,2,1,1)",2598960,2597700,"exact",2597700,2597700],[4,17,"u","(6,5,2,1,1,1,1)",1633632,1633248,"exact",1633248,1633248],[4,17,"u","(6,5,1,1,1,1,1,1)",399840,399840,"exact",399840,399840],[4,17,"u","(6,4,4,3)",816816,815844,"exact",815844,815844],[4,17,"u","(6,4,4,2,1)",2450448,2448450,"exact",2448450,2448450],[4,17,"u","(6,4,4,1,1,1)",1591200,1590300,"exact",1590300,1590300],[4,17,"u","(6,4,3,3,1)",2362932,2361717,"exact",2361717,2361717],[4,17,"u","(6,4,3,2,2)",2722720,2721760,"exact",2721760,2721760],[4,17,"u","(6,4,3,2,1,1)",4873050,4871790,"exact",4871790,4871790],[4,17,"u","(6,4,3,1,1,1,1)",2431000,2430700,"exact",2430700,2430700],[4,17,"u","(6,4,2,2,2,1)",2598960,2598708,"exact",2598708,2598708],[4,17,"u","(6,4,2,2,1,1,1)",2858856,2858730,"exact",2858730,2858730],[4,17,"u","(6,4,2,1,1,1,1,1)",1454112,1454112,"exact",1454112,1454112],[4,17,"u","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[4,17,"u","(6,3,3,3,2)",1089088,1088908,"exact",1088908,1088908],[4,17,"u","(6,3,3,3,1,1)",1591200,1591020,"exact",1591020,1591020],[4,17,"u","(6,3,3,2,2,1)",2475200,2475060,"exact",2475060,2475060],[4,17,"u","(6,3,3,2,1,1,1)",2552550,2552480,"exact",2552480,2552480],[4,17,"u","(6,3,3,1,1,1,1,1)",1047200,1047200,"exact",1047200,1047200],[4,17,"u","(6,3,2,2,2,2)",891072,891072,"exact",891072,891072],[4,17,"u","(6,3,2,2,2,1,1)",1905904,1905904,"exact",1905904,1905904],[4,17,"u","(6,3,2,2,1,1,1,1)",1570800,1570800,"exact",1570800,1570800],[4,17,"u","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[4,17,"u","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[4,17,"u","(6,2,2,2,2,2,1)",408408,408408,"exact",408408,408408],[4,17,"u","(6,2,2,2,2,1,1,1)",523600,523600,"exact",523600,523600],[4,17,"u","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[4,17,"u","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[4,17,"u","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[4,17,"u","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[4,17,"u","(5,5,5,2)",291720,291260,"exact",291260,291260],[4,17,"u","(5,5,5,1,1)",340340,339895,"exact",339895,339895],[4,17,"u","(5,5,4,3)",583440,582900,"exact",582900,582900],[4,17,"u","(5,5,4,2,1)",1701700,1700625,"exact",1700625,1700625],[4,17,"u","(5,5,4,1,1,1)",1089088,1088612,"exact",1088612,1088612],[4,17,"u","(5,5,3,3,1)",1361360,1360820,"exact",1360820,1360820],[4,17,"u","(5,5,3,2,2)",1531530,1531116,"exact",1531116,1531116],[4,17,"u","(5,5,3,2,1,1)",2722720,2722180,"exact",2722180,2722180],[4,17,"u","(5,5,3,1,1,1,1)",1336608,1336482,"exact",1336482,1336482],[4,17,"u","(5,5,2,2,2,1)",1361360,1361260,"exact",1361260,1361260],[4,17,"u","(5,5,2,2,1,1,1)",1485120,1485070,"exact",1485070,1485070],[4,17,"u","(5,5,2,1,1,1,1,1)",742560,742560,"exact",742560,742560],[4,17,"u","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[4,17,"u","(5,4,4,4)",204204,204096,"exact",204096,204096],[4,17,"u","(5,4,4,3,1)",1458600,1458195,"exact",1458195,1458195],[4,17,"u","(5,4,4,2,2)",1361360,1361106,"exact",1361106,1361106],[4,17,"u","(5,4,4,2,1,1)",2362932,2362608,"exact",2362608,2362608],[4,17,"u","(5,4,4,1,1,1,1)",1082900,1082830,"exact",1082830,1082830],[4,17,"u","(5,4,3,3,2)",1701700,1701520,"exact",1701520,1701520],[4,17,"u","(5,4,3,3,1,1)",2450448,2450268,"exact",2450268,2450268],[4,17,"u","(5,4,3,2,2,1)",3573570,3573442,"exact",3573442,3573442],[4,17,"u","(5,4,3,2,1,1,1)",3620864,3620800,"exact",3620800,3620800],[4,17,"u","(5,4,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[4,17,"u","(5,4,2,2,2,2)",1021020,1021020,"exact",1021020,1021020],[4,17,"u","(5,4,2,2,2,1,1)",2165800,2165800,"exact",2165800,2165800],[4,17,"u","(5,4,2,2,1,1,1,1)",1750320,1750320,"exact",1750320,1750320],[4,17,"u","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[4,17,"u","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[4,17,"u","(5,3,3,3,3)",340340,340330,"exact",340330,340330],[4,17,"u","(5,3,3,3,2,1)",1633632,1633612,"exact",1633612,1633612],[4,17,"u","(5,3,3,3,1,1,1)",1326000,1325990,"exact",1325990,1325990],[4,17,"u","(5,3,3,2,2,2)",1089088,1089088,"exact",1089088,1089088],[4,17,"u","(5,3,3,2,2,1,1)",2255526,2255526,"exact",2255526,2255526],[4,17,"u","(5,3,3,2,1,1,1,1)",1701700,1701700,"exact",1701700,1701700],[4,17,"u","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[4,17,"u","(5,3,2,2,2,2,1)",1082900,1082900,"exact",1082900,1082900],[4,17,"u","(5,3,2,2,2,1,1,1)",1361360,1361360,"exact",1361360,1361360],[4,17,"u","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[4,17,"u","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[4,17,"u","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[4,17,"u","(5,2,2,2,2,2,2)",148512,148512,"exact",148512,148512],[4,17,"u","(5,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[4,17,"u","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[4,17,"u","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[4,17,"u","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[4,17,"u","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[4,17,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[4,17,"u","(4,4,4,4,1)",204204,204177,"exact",204177,204177],[4,17,"u","(4,4,4,3,2)",583440,583404,"exact",583404,583404],[4,17,"u","(4,4,4,3,1,1)",816816,816780,"exact",816780,816780],[4,17,"u","(4,4,4,2,2,1)",972400,972380,"exact",972380,972380],[4,17,"u","(4,4,4,2,1,1,1)",952952,952942,"exact",952942,952942],[4,17,"u","(4,4,4,1,1,1,1,1)",346528,346528,"exact",346528,346528],[4,17,"u","(4,4,3,3,3)",291720,291714,"exact",291714,291714],[4,17,"u","(4,4,3,3,2,1)",1361360,1361348,"exact",1361348,1361348],[4,17,"u","(4,4,3,3,1,1,1)",1089088,1089082,"exact",1089082,1089082],[4,17,"u","(4,4,3,2,2,2)",850850,850850,"exact",850850,850850],[4,17,"u","(4,4,3,2,2,1,1)",1750320,1750320,"exact",1750320,1750320],[4,17,"u","(4,4,3,2,1,1,1,1)",1299480,1299480,"exact",1299480,1299480],[4,17,"u","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[4,17,"u","(4,4,2,2,2,2,1)",680680,680680,"exact",680680,680680],[4,17,"u","(4,4,2,2,2,1,1,1)",848640,848640,"exact",848640,848640],[4,17,"u","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[4,17,"u","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[4,17,"u","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[4,17,"u","(4,3,3,3,3,1)",388960,388960,"exact",388960,388960],[4,17,"u","(4,3,3,3,2,2)",544544,544544,"exact",544544,544544],[4,17,"u","(4,3,3,3,2,1,1)",1050192,1050192,"exact",1050192,1050192],[4,17,"u","(4,3,3,3,1,1,1,1)",618800,618800,"exact",618800,618800],[4,17,"u","(4,3,3,2,2,2,1)",918918,918918,"exact",918918,918918],[4,17,"u","(4,3,3,2,2,1,1,1)",1113840,1113840,"exact",1113840,1113840],[4,17,"u","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[4,17,"u","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[4,17,"u","(4,3,2,2,2,2,2)",272272,272272,"exact",272272,272272],[4,17,"u","(4,3,2,2,2,2,1,1)",618800,618800,"exact",618800,618800],[4,17,"u","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[4,17,"u","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[4,17,"u","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[4,17,"u","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[4,17,"u","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[4,17,"u","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[4,17,"u","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[4,17,"u","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[4,17,"u","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[4,17,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[4,17,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[4,17,"u","(3,3,3,3,3,2)",87516,87516,"exact",87516,87516],[4,17,"u","(3,3,3,3,3,1,1)",136136,136136,"exact",136136,136136],[4,17,"u","(3,3,3,3,2,2,1)",243100,243100,"exact",243100,243100],[4,17,"u","(3,3,3,3,2,1,1,1)",272272,272272,"exact",272272,272272],[4,17,"u","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[4,17,"u","(3,3,3,2,2,2,2)",121550,121550,"exact",121550,121550],[4,17,"u","(3,3,3,2,2,2,1,1)",272272,272272,"exact",272272,272272],[4,17,"u","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[4,17,"u","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[4,17,"u","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[4,17,"u","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[4,17,"u","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[4,17,"u","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[4,17,"u","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[4,17,"u","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[4,17,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[4,17,"u","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[4,17,"u","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[4,17,"u","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[4,17,"u","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[4,17,"u","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[4,17,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[4,17,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[4,17,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[4,17,"u","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[4,17,"u","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[4,17,"u","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[4,17,"u","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[4,17,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[4,17,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[4,17,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[4,17,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[4,17,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,18,"u","(18)",1,0,"exact",0,0],[4,18,"u","(17,1)",17,0,"exact",0,0],[4,18,"u","(16,2)",135,0,"exact",0,0],[4,18,"u","(16,1,1)",136,0,"exact",0,0],[4,18,"u","(15,3)",663,0,"exact",0,0],[4,18,"u","(15,2,1)",1344,0,"exact",0,0],[4,18,"u","(15,1,1,1)",680,0,"exact",0,0],[4,18,"u","(14,4)",2244,1001,"exact",1001,1001],[4,18,"u","(14,3,1)",6885,3003,"exact",3003,3003],[4,18,"u","(14,2,2)",4641,2002,"exact",2002,2002],[4,18,"u","(14,2,1,1)",7020,3003,"exact",3003,3003],[4,18,"u","(14,1,1,1,1)",2380,1001,"exact",1001,1001],[4,18,"u","(13,5)",5508,3861,"exact",3861,3861],[4,18,"u","(13,4,1)",22848,16588,"exact",16588,16588],[4,18,"u","(13,3,2)",29172,21593,"exact",21593,21593],[4,18,"u","(13,3,1,1)",35343,26598,"exact",26598,26598],[4,18,"u","(13,2,2,1)",29835,22737,"exact",22737,22737],[4,18,"u","(13,2,1,1,1)",24192,18876,"exact",18876,18876],[4,18,"u","(13,1,1,1,1,1)",6188,5005,"exact",5005,5005],[4,18,"u","(12,6)",9996,8239,"exact",8239,8239],[4,18,"u","(12,5,1)",53040,45452,"exact",45452,45452],[4,18,"u","(12,4,2)",99144,87318,"exact",87318,87318],[4,18,"u","(12,4,1,1)",111384,98934,"exact",98934,98934],[4,18,"u","(12,3,3)",56100,50105,"exact",50105,50105],[4,18,"u","(12,3,2,1)",182784,165704,"exact",165704,165704],[4,18,"u","(12,3,1,1,1)",116025,106480,"exact",106480,106480],[4,18,"u","(12,2,2,2)",58344,53878,"exact",53878,53878],[4,18,"u","(12,2,2,1,1)",106029,98637,"exact",98637,98637],[4,18,"u","(12,2,1,1,1,1)",60060,56771,"exact",56771,56771],[4,18,"u","(12,1,1,1,1,1,1)",12376,12012,"exact",12012,12012],[4,18,"u","(11,7)",13260,11715,"exact",11715,11715],[4,18,"u","(11,6,1)",88128,80652,"exact",80652,80652],[4,18,"u","(11,5,2)",219912,206206,"exact",206206,206206],[4,18,"u","(11,5,1,1)",238680,224862,"exact",224862,224862],[4,18,"u","(11,4,3)",228480,217360,"exact",217360,217360],[4,18,"u","(11,4,2,1)",583440,559108,"exact",559108,559108],[4,18,"u","(11,4,1,1,1)",339456,327272,"exact",327272,327272],[4,18,"u","(11,3,3,1)",358020,346005,"exact",346005,346005],[4,18,"u","(11,3,2,2)",363528,353034,"exact",353034,353034],[4,18,"u","(11,3,2,1,1)",612612,597069,"exact",597069,597069],[4,18,"u","(11,3,1,1,1,1)",268515,263439,"exact",263439,263439],[4,18,"u","(11,2,2,2,1)",251328,246928,"exact",246928,246928],[4,18,"u","(11,2,2,1,1,1)",255255,251900,"exact",251900,251900],[4,18,"u","(11,2,1,1,1,1,1)",112320,111540,"exact",111540,111540],[4,18,"u","(11,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[4,18,"u","(10,8)",11934,10881,"exact",10881,10881],[4,18,"u","(10,7,1)",102102,96168,"exact",96168,96168],[4,18,"u","(10,6,2)",331500,318875,"exact",318875,318875],[4,18,"u","(10,6,1,1)",353430,340995,"exact",340995,340995],[4,18,"u","(10,5,3)",501228,488079,"exact",488079,488079],[4,18,"u","(10,5,2,1)",1175040,1149000,"exact",1149000,1149000],[4,18,"u","(10,5,1,1,1)",656370,644019,"exact",644019,644019],[4,18,"u","(10,4,4)",259896,254492,"exact",254492,254492],[4,18,"u","(10,4,3,1)",1349460,1328607,"exact",1328607,1328607],[4,18,"u","(10,4,2,2)",1099560,1085210,"exact",1085210,1085210],[4,18,"u","(10,4,2,1,1)",1790100,1769835,"exact",1769835,1769835],[4,18,"u","(10,4,1,1,1,1)",714714,708862,"exact",708862,708862],[4,18,"u","(10,3,3,2)",848232,839916,"exact",839916,839916],[4,18,"u","(10,3,3,1,1)",1145664,1136232,"exact",1136232,1136232],[4,18,"u","(10,3,2,2,1)",1458600,1449320,"exact",1449320,1449320],[4,18,"u","(10,3,2,1,1,1)",1357824,1351504,"exact",1351504,1351504],[4,18,"u","(10,3,1,1,1,1,1)",459459,458403,"exact",458403,458403],[4,18,"u","(10,2,2,2,2)",302940,301995,"exact",301995,301995],[4,18,"u","(10,2,2,2,1,1)",612612,611127,"exact",611127,611127],[4,18,"u","(10,2,2,1,1,1,1)",447525,446985,"exact",446985,446985],[4,18,"u","(10,2,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[4,18,"u","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[4,18,"u","(9,9)",4862,4489,"exact",4489,4489],[4,18,"u","(9,8,1)",70720,67448,"exact",67448,67448],[4,18,"u","(9,7,2)",322218,313389,"exact",313389,313389],[4,18,"u","(9,7,1,1)",340340,331753,"exact",331753,331753],[4,18,"u","(9,6,3)",678912,667456,"exact",667456,667456],[4,18,"u","(9,6,2,1)",1531530,1509900,"exact",1509900,1509900],[4,18,"u","(9,6,1,1,1)",837760,827796,"exact",827796,827796],[4,18,"u","(9,5,4)",649740,642005,"exact",642005,642005],[4,18,"u","(9,5,3,1)",2625480,2602740,"exact",2602740,2602740],[4,18,"u","(9,5,2,2)",1989000,1974630,"exact",1974630,1974630],[4,18,"u","(9,5,2,1,1)",3180870,3161070,"exact",3161070,3161070],[4,18,"u","(9,5,1,1,1,1)",1215500,1210125,"exact",1210125,1210125],[4,18,"u","(9,4,4,1)",1429428,1420013,"exact",1420013,1420013],[4,18,"u","(9,4,3,2)",2970240,2956408,"exact",2956408,2956408],[4,18,"u","(9,4,3,1,1)",3877632,3862536,"exact",3862536,3862536],[4,18,"u","(9,4,2,2,1)",3965760,3954096,"exact",3954096,3954096],[4,18,"u","(9,4,2,1,1,1)",3544398,3536865,"exact",3536865,3536865],[4,18,"u","(9,4,1,1,1,1,1)",1089088,1087988,"exact",1087988,1087988],[4,18,"u","(9,3,3,3)",779688,777420,"exact",777420,777420],[4,18,"u","(9,3,3,2,1)",3198720,3192280,"exact",3192280,3192280],[4,18,"u","(9,3,3,1,1,1)",2333760,2330456,"exact",2330456,2330456],[4,18,"u","(9,3,2,2,2)",1649340,1647429,"exact",1647429,1647429],[4,18,"u","(9,3,2,2,1,1)",3222180,3219345,"exact",3219345,3219345],[4,18,"u","(9,3,2,1,1,1,1)",2144142,2143218,"exact",2143218,2143218],[4,18,"u","(9,3,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[4,18,"u","(9,2,2,2,2,1)",875160,874920,"exact",874920,874920],[4,18,"u","(9,2,2,2,1,1,1)",1018368,1018248,"exact",1018248,1018248],[4,18,"u","(9,2,2,1,1,1,1,1)",590733,590733,"exact",590733,590733],[4,18,"u","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[4,18,"u","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[4,18,"u","(8,8,2)",136136,132972,"exact",132972,132972],[4,18,"u","(8,8,1,1)",143208,140148,"exact",140148,140148],[4,18,"u","(8,7,3)",510510,503895,"exact",503895,503895],[4,18,"u","(8,7,2,1)",1131520,1119312,"exact",1119312,1119312],[4,18,"u","(8,7,1,1,1)",612612,607071,"exact",607071,607071],[4,18,"u","(8,6,4)",787644,781173,"exact",781173,781173],[4,18,"u","(8,6,3,1)",2923830,2906568,"exact",2906568,2906568],[4,18,"u","(8,6,2,2)",2148120,2137620,"exact",2137620,2137620],[4,18,"u","(8,6,2,1,1)",3403400,3389120,"exact",3389120,3389120],[4,18,"u","(8,6,1,1,1,1)",1272348,1268595,"exact",1268595,1268595],[4,18,"u","(8,5,5)",408408,405758,"exact",405758,405758],[4,18,"u","(8,5,4,1)",3055104,3042984,"exact",3042984,3042984],[4,18,"u","(8,5,3,2)",5012280,4998462,"exact",4998462,4998462],[4,18,"u","(8,5,3,1,1)",6432426,6417642,"exact",6417642,6417642],[4,18,"u","(8,5,2,2,1)",6126120,6115624,"exact",6115624,6115624],[4,18,"u","(8,5,2,1,1,1)",5361664,5355072,"exact",5355072,5355072],[4,18,"u","(8,5,1,1,1,1,1)",1575288,1574388,"exact",1574388,1574388],[4,18,"u","(8,4,4,2)",3007368,3001278,"exact",3001278,3001278],[4,18,"u","(8,4,4,1,1)",3646500,3640365,"exact",3640365,3640365],[4,18,"u","(8,4,3,3)",2598960,2595180,"exact",2595180,2595180],[4,18,"u","(8,4,3,2,1)",9801792,9791992,"exact",9791992,9791992],[4,18,"u","(8,4,3,1,1,1)",6872250,6867455,"exact",6867455,6867455],[4,18,"u","(8,4,2,2,2)",3978000,3975760,"exact",3975760,3975760],[4,18,"u","(8,4,2,2,1,1)",7634088,7630848,"exact",7630848,7630848],[4,18,"u","(8,4,2,1,1,1,1)",4862000,4861000,"exact",4861000,4861000],[4,18,"u","(8,4,1,1,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[4,18,"u","(8,3,3,3,1)",2858856,2857344,"exact",2857344,2857344],[4,18,"u","(8,3,3,2,2)",3508596,3507315,"exact",3507315,3507315],[4,18,"u","(8,3,3,2,1,1)",6361740,6360039,"exact",6360039,6360039],[4,18,"u","(8,3,3,1,1,1,1)",3281850,3281430,"exact",3281430,3281430],[4,18,"u","(8,3,2,2,2,1)",4230144,4229712,"exact",4229712,4229712],[4,18,"u","(8,3,2,2,1,1,1)",4725864,4725648,"exact",4725648,4725648],[4,18,"u","(8,3,2,1,1,1,1,1)",2489344,2489344,"exact",2489344,2489344],[4,18,"u","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[4,18,"u","(8,2,2,2,2,2)",659736,659736,"exact",659736,659736],[4,18,"u","(8,2,2,2,2,1,1)",1432080,1432080,"exact",1432080,1432080],[4,18,"u","(8,2,2,2,1,1,1,1)",1225224,1225224,"exact",1225224,1225224],[4,18,"u","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[4,18,"u","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[4,18,"u","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[4,18,"u","(7,7,4)",364650,362160,"exact",362160,362160],[4,18,"u","(7,7,3,1)",1312740,1306335,"exact",1306335,1306335],[4,18,"u","(7,7,2,2)",952952,949116,"exact",949116,949116],[4,18,"u","(7,7,2,1,1)",1503684,1498497,"exact",1498497,1498497],[4,18,"u","(7,7,1,1,1,1)",556920,555576,"exact",555576,555576],[4,18,"u","(7,6,5)",466752,464488,"exact",464488,464488],[4,18,"u","(7,6,4,1)",2756754,2748669,"exact",2748669,2748669],[4,18,"u","(7,6,3,2)",4200768,4192284,"exact",4192284,4192284],[4,18,"u","(7,6,3,1,1)",5346432,5337444,"exact",5337444,5337444],[4,18,"u","(7,6,2,2,1)",4950400,4944240,"exact",4944240,4944240],[4,18,"u","(7,6,2,1,1,1)",4288284,4284469,"exact",4284469,4284469],[4,18,"u","(7,6,1,1,1,1,1)",1233792,1233288,"exact",1233288,1233288],[4,18,"u","(7,5,5,1)",1575288,1571718,"exact",1571718,1571718],[4,18,"u","(7,5,4,2)",5250960,5244120,"exact",5244120,5244120],[4,18,"u","(7,5,4,1,1)",6265350,6258585,"exact",6258585,6258585],[4,18,"u","(7,5,3,3)",3675672,3672270,"exact",3672270,3672270],[4,18,"u","(7,5,3,2,1)",13366080,13357620,"exact",13357620,13357620],[4,18,"u","(7,5,3,1,1,1)",9189180,9185139,"exact",9185139,9185139],[4,18,"u","(7,5,2,2,2)",5012280,5010516,"exact",5010516,5010516],[4,18,"u","(7,5,2,2,1,1)",9529520,9527000,"exact",9527000,9527000],[4,18,"u","(7,5,2,1,1,1,1)",5937624,5936868,"exact",5936868,5936868],[4,18,"u","(7,5,1,1,1,1,1,1)",1432080,1432080,"exact",1432080,1432080],[4,18,"u","(7,4,4,3)",2858856,2856966,"exact",2856966,2856966],[4,18,"u","(7,4,4,2,1)",8486400,8482580,"exact",8482580,8482580],[4,18,"u","(7,4,4,1,1,1)",5469750,5468050,"exact",5468050,5468050],[4,18,"u","(7,4,3,3,1)",8019648,8017380,"exact",8017380,8017380],[4,18,"u","(7,4,3,2,2)",9165312,9163548,"exact",9163548,9163548],[4,18,"u","(7,4,3,2,1,1)",16336320,16334016,"exact",16334016,16334016],[4,18,"u","(7,4,3,1,1,1,1)",8078400,8077860,"exact",8077860,8077860],[4,18,"u","(7,4,2,2,2,1)",8576568,8576120,"exact",8576120,8576120],[4,18,"u","(7,4,2,2,1,1,1)",9382912,9382688,"exact",9382688,9382688],[4,18,"u","(7,4,2,1,1,1,1,1)",4725864,4725864,"exact",4725864,4725864],[4,18,"u","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[4,18,"u","(7,3,3,3,2)",3508596,3508281,"exact",3508281,3508281],[4,18,"u","(7,3,3,3,1,1)",5105100,5104785,"exact",5104785,5104785],[4,18,"u","(7,3,3,2,2,1)",7876440,7876200,"exact",7876200,7876200],[4,18,"u","(7,3,3,2,1,1,1)",8078400,8078280,"exact",8078280,8078280],[4,18,"u","(7,3,3,1,1,1,1,1)",3281850,3281850,"exact",3281850,3281850],[4,18,"u","(7,3,2,2,2,2)",2784600,2784600,"exact",2784600,2784600],[4,18,"u","(7,3,2,2,2,1,1)",5937624,5937624,"exact",5937624,5937624],[4,18,"u","(7,3,2,2,1,1,1,1)",4862000,4862000,"exact",4862000,4862000],[4,18,"u","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[4,18,"u","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[4,18,"u","(7,2,2,2,2,2,1)",1233792,1233792,"exact",1233792,1233792],[4,18,"u","(7,2,2,2,2,1,1,1)",1575288,1575288,"exact",1575288,1575288],[4,18,"u","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[4,18,"u","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[4,18,"u","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[4,18,"u","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[4,18,"u","(6,6,6)",87516,87207,"exact",87207,87207],[4,18,"u","(6,6,5,1)",1021020,1019147,"exact",1019147,1019147],[4,18,"u","(6,6,4,2)",2756754,2753868,"exact",2753868,2753868],[4,18,"u","(6,6,4,1,1)",3267264,3264432,"exact",3264432,3264432],[4,18,"u","(6,6,3,3)",1823250,1821900,"exact",1821900,1821900],[4,18,"u","(6,6,3,2,1)",6534528,6531228,"exact",6531228,6531228],[4,18,"u","(6,6,3,1,1,1)",4455360,4453800,"exact",4453800,4453800],[4,18,"u","(6,6,2,2,2)",2382380,2381715,"exact",2381715,2381715],[4,18,"u","(6,6,2,2,1,1)",4511052,4510107,"exact",4510107,4510107],[4,18,"u","(6,6,2,1,1,1,1)",2784600,2784320,"exact",2784320,2784320],[4,18,"u","(6,6,1,1,1,1,1,1)",659736,659736,"exact",659736,659736],[4,18,"u","(6,5,5,2)",2042040,2040418,"exact",2040418,2040418],[4,18,"u","(6,5,5,1,1)",2362932,2361381,"exact",2361381,2361381],[4,18,"u","(6,5,4,3)",3734016,3732288,"exact",3732288,3732288],[4,18,"u","(6,5,4,2,1)",10720710,10717350,"exact",10717350,10717350],[4,18,"u","(6,5,4,1,1,1)",6789120,6787656,"exact",6787656,6787656],[4,18,"u","(6,5,3,3,1)",8270262,8268642,"exact",8268642,8268642],[4,18,"u","(6,5,3,2,2)",9189180,9187965,"exact",9187965,9187965],[4,18,"u","(6,5,3,2,1,1)",16243500,16241925,"exact",16241925,16241925],[4,18,"u","(6,5,3,1,1,1,1)",7876440,7876080,"exact",7876080,7876080],[4,18,"u","(6,5,2,2,2,1)",7920640,7920360,"exact",7920360,7920360],[4,18,"u","(6,5,2,2,1,1,1)",8576568,8576428,"exact",8576428,8576428],[4,18,"u","(6,5,2,1,1,1,1,1)",4230144,4230144,"exact",4230144,4230144],[4,18,"u","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[4,18,"u","(6,4,4,4)",1021020,1020750,"exact",1020750,1020750],[4,18,"u","(6,4,4,3,1)",7088796,7087824,"exact",7087824,7087824],[4,18,"u","(6,4,4,2,2)",6534528,6533932,"exact",6533932,6533932],[4,18,"u","(6,4,4,2,1,1)",11277630,11276874,"exact",11276874,11276874],[4,18,"u","(6,4,4,1,1,1,1)",5105100,5104940,"exact",5104940,5104940],[4,18,"u","(6,4,3,3,2)",7876440,7876035,"exact",7876035,7876035],[4,18,"u","(6,4,3,3,1,1)",11277630,11277225,"exact",11277225,11277225],[4,18,"u","(6,4,3,2,2,1)",16243500,16243220,"exact",16243220,16243220],[4,18,"u","(6,4,3,2,1,1,1)",16336320,16336180,"exact",16336180,16336180],[4,18,"u","(6,4,3,1,1,1,1,1)",6361740,6361740,"exact",6361740,6361740],[4,18,"u","(6,4,2,2,2,2)",4511052,4511052,"exact",4511052,4511052],[4,18,"u","(6,4,2,2,2,1,1)",9529520,9529520,"exact",9529520,9529520],[4,18,"u","(6,4,2,2,1,1,1,1)",7634088,7634088,"exact",7634088,7634088],[4,18,"u","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[4,18,"u","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[4,18,"u","(6,3,3,3,3)",1429428,1429408,"exact",1429408,1429408],[4,18,"u","(6,3,3,3,2,1)",6789120,6789080,"exact",6789080,6789080],[4,18,"u","(6,3,3,3,1,1,1)",5469750,5469730,"exact",5469730,5469730],[4,18,"u","(6,3,3,2,2,2)",4455360,4455360,"exact",4455360,4455360],[4,18,"u","(6,3,3,2,2,1,1)",9189180,9189180,"exact",9189180,9189180],[4,18,"u","(6,3,3,2,1,1,1,1)",6872250,6872250,"exact",6872250,6872250],[4,18,"u","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[4,18,"u","(6,3,2,2,2,2,1)",4288284,4288284,"exact",4288284,4288284],[4,18,"u","(6,3,2,2,2,1,1,1)",5361664,5361664,"exact",5361664,5361664],[4,18,"u","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[4,18,"u","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[4,18,"u","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[4,18,"u","(6,2,2,2,2,2,2)",556920,556920,"exact",556920,556920],[4,18,"u","(6,2,2,2,2,2,1,1)",1272348,1272348,"exact",1272348,1272348],[4,18,"u","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[4,18,"u","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[4,18,"u","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[4,18,"u","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[4,18,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[4,18,"u","(5,5,5,3)",875160,874890,"exact",874890,874890],[4,18,"u","(5,5,5,2,1)",2333760,2333276,"exact",2333276,2333276],[4,18,"u","(5,5,5,1,1,1)",1429428,1429225,"exact",1429225,1429225],[4,18,"u","(5,5,4,4)",787644,787482,"exact",787482,787482],[4,18,"u","(5,5,4,3,1)",5105100,5104560,"exact",5104560,5104560],[4,18,"u","(5,5,4,2,2)",4594590,4594269,"exact",4594269,4594269],[4,18,"u","(5,5,4,2,1,1)",7876440,7876035,"exact",7876035,7876035],[4,18,"u","(5,5,4,1,1,1,1)",3508596,3508512,"exact",3508512,3508512],[4,18,"u","(5,5,3,3,2)",4594590,4594410,"exact",4594410,4594410],[4,18,"u","(5,5,3,3,1,1)",6534528,6534348,"exact",6534348,6534348],[4,18,"u","(5,5,3,2,2,1)",9189180,9189060,"exact",9189060,9189060],[4,18,"u","(5,5,3,2,1,1,1)",9165312,9165252,"exact",9165252,9165252],[4,18,"u","(5,5,3,1,1,1,1,1)",3508596,3508596,"exact",3508596,3508596],[4,18,"u","(5,5,2,2,2,2)",2382380,2382380,"exact",2382380,2382380],[4,18,"u","(5,5,2,2,2,1,1)",5012280,5012280,"exact",5012280,5012280],[4,18,"u","(5,5,2,2,1,1,1,1)",3978000,3978000,"exact",3978000,3978000],[4,18,"u","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[4,18,"u","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[4,18,"u","(5,4,4,4,1)",1867008,1866900,"exact",1866900,1866900],[4,18,"u","(5,4,4,3,2)",5105100,5104965,"exact",5104965,5104965],[4,18,"u","(5,4,4,3,1,1)",7088796,7088661,"exact",7088661,7088661],[4,18,"u","(5,4,4,2,2,1)",8270262,8270190,"exact",8270190,8270190],[4,18,"u","(5,4,4,2,1,1,1)",8019648,8019612,"exact",8019612,8019612],[4,18,"u","(5,4,4,1,1,1,1,1)",2858856,2858856,"exact",2858856,2858856],[4,18,"u","(5,4,3,3,3)",2333760,2333740,"exact",2333740,2333740],[4,18,"u","(5,4,3,3,2,1)",10720710,10720670,"exact",10720670,10720670],[4,18,"u","(5,4,3,3,1,1,1)",8486400,8486380,"exact",8486380,8486380],[4,18,"u","(5,4,3,2,2,2)",6534528,6534528,"exact",6534528,6534528],[4,18,"u","(5,4,3,2,2,1,1)",13366080,13366080,"exact",13366080,13366080],[4,18,"u","(5,4,3,2,1,1,1,1)",9801792,9801792,"exact",9801792,9801792],[4,18,"u","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[4,18,"u","(5,4,2,2,2,2,1)",4950400,4950400,"exact",4950400,4950400],[4,18,"u","(5,4,2,2,2,1,1,1)",6126120,6126120,"exact",6126120,6126120],[4,18,"u","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[4,18,"u","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[4,18,"u","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[4,18,"u","(5,3,3,3,3,1)",2362932,2362932,"exact",2362932,2362932],[4,18,"u","(5,3,3,3,2,2)",3267264,3267264,"exact",3267264,3267264],[4,18,"u","(5,3,3,3,2,1,1)",6265350,6265350,"exact",6265350,6265350],[4,18,"u","(5,3,3,3,1,1,1,1)",3646500,3646500,"exact",3646500,3646500],[4,18,"u","(5,3,3,2,2,2,1)",5346432,5346432,"exact",5346432,5346432],[4,18,"u","(5,3,3,2,2,1,1,1)",6432426,6432426,"exact",6432426,6432426],[4,18,"u","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[4,18,"u","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[4,18,"u","(5,3,2,2,2,2,2)",1503684,1503684,"exact",1503684,1503684],[4,18,"u","(5,3,2,2,2,2,1,1)",3403400,3403400,"exact",3403400,3403400],[4,18,"u","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[4,18,"u","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[4,18,"u","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[4,18,"u","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[4,18,"u","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[4,18,"u","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[4,18,"u","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[4,18,"u","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[4,18,"u","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[4,18,"u","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[4,18,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[4,18,"u","(4,4,4,4,2)",787644,787635,"exact",787635,787635],[4,18,"u","(4,4,4,4,1,1)",1021020,1021011,"exact",1021011,1021011],[4,18,"u","(4,4,4,3,3)",875160,875156,"exact",875156,875156],[4,18,"u","(4,4,4,3,2,1)",3734016,3734008,"exact",3734008,3734008],[4,18,"u","(4,4,4,3,1,1,1)",2858856,2858852,"exact",2858852,2858852],[4,18,"u","(4,4,4,2,2,2)",1823250,1823250,"exact",1823250,1823250],[4,18,"u","(4,4,4,2,2,1,1)",3675672,3675672,"exact",3675672,3675672],[4,18,"u","(4,4,4,2,1,1,1,1)",2598960,2598960,"exact",2598960,2598960],[4,18,"u","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[4,18,"u","(4,4,3,3,3,1)",2042040,2042040,"exact",2042040,2042040],[4,18,"u","(4,4,3,3,2,2)",2756754,2756754,"exact",2756754,2756754],[4,18,"u","(4,4,3,3,2,1,1)",5250960,5250960,"exact",5250960,5250960],[4,18,"u","(4,4,3,3,1,1,1,1)",3007368,3007368,"exact",3007368,3007368],[4,18,"u","(4,4,3,2,2,2,1)",4200768,4200768,"exact",4200768,4200768],[4,18,"u","(4,4,3,2,2,1,1,1)",5012280,5012280,"exact",5012280,5012280],[4,18,"u","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[4,18,"u","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[4,18,"u","(4,4,2,2,2,2,2)",952952,952952,"exact",952952,952952],[4,18,"u","(4,4,2,2,2,2,1,1)",2148120,2148120,"exact",2148120,2148120],[4,18,"u","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[4,18,"u","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[4,18,"u","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[4,18,"u","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[4,18,"u","(4,3,3,3,3,2)",1021020,1021020,"exact",1021020,1021020],[4,18,"u","(4,3,3,3,3,1,1)",1575288,1575288,"exact",1575288,1575288],[4,18,"u","(4,3,3,3,2,2,1)",2756754,2756754,"exact",2756754,2756754],[4,18,"u","(4,3,3,3,2,1,1,1)",3055104,3055104,"exact",3055104,3055104],[4,18,"u","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[4,18,"u","(4,3,3,2,2,2,2)",1312740,1312740,"exact",1312740,1312740],[4,18,"u","(4,3,3,2,2,2,1,1)",2923830,2923830,"exact",2923830,2923830],[4,18,"u","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[4,18,"u","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[4,18,"u","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[4,18,"u","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[4,18,"u","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[4,18,"u","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[4,18,"u","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[4,18,"u","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[4,18,"u","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[4,18,"u","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[4,18,"u","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[4,18,"u","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[4,18,"u","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[4,18,"u","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[4,18,"u","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[4,18,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[4,18,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[4,18,"u","(3,3,3,3,3,3)",87516,87516,"exact",87516,87516],[4,18,"u","(3,3,3,3,3,2,1)",466752,466752,"exact",466752,466752],[4,18,"u","(3,3,3,3,3,1,1,1)",408408,408408,"exact",408408,408408],[4,18,"u","(3,3,3,3,2,2,2)",364650,364650,"exact",364650,364650],[4,18,"u","(3,3,3,3,2,2,1,1)",787644,787644,"exact",787644,787644],[4,18,"u","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[4,18,"u","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[4,18,"u","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[4,18,"u","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[4,18,"u","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[4,18,"u","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[4,18,"u","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[4,18,"u","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[4,18,"u","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[4,18,"u","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[4,18,"u","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[4,18,"u","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[4,18,"u","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[4,18,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[4,18,"u","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[4,18,"u","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[4,18,"u","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[4,18,"u","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[4,18,"u","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[4,18,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[4,18,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[4,18,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[4,18,"u","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[4,18,"u","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[4,18,"u","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[4,18,"u","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[4,18,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[4,18,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[4,18,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[4,18,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[4,18,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[4,18,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,19,"u","(15,4)",2907,1365,"exact",1365,1365],[4,19,"u","(15,1,1,1,1)",3060,1365,"exact",1365,1365],[4,19,"u","(15,2,2)",5985,2730,"exact",2730,2730],[4,19,"u","(14,5)",7752,5642,"exact",5642,5642],[4,19,"u","(14,1,1,1,1,1)",8568,7098,"exact",7098,7098],[4,19,"u","(15,3,1)",8892,4095,"exact",4095,4095],[4,19,"u","(15,2,1,1)",9044,4095,"exact",4095,4095],[4,19,"u","(13,6)",15504,13156,"exact",13156,13156],[4,19,"u","(10,9)",16796,15874,"exact",15874,15874],[4,19,"u","(13,1,1,1,1,1,1)",18564,18109,"exact",18109,18109],[4,19,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,19,"u","(16,1,1,1)",816,0,"exact",0,0],[4,19,"u","(16,2,1)",1615,0,"exact",0,0],[4,19,"u","(16,3)",798,0,"exact",0,0],[4,19,"u","(17,1,1)",153,0,"exact",0,0],[4,19,"u","(17,2)",152,0,"exact",0,0],[4,19,"u","(18,1)",18,0,"exact",0,0],[4,19,"u","(19)",1,0,"exact",0,0],[4,19,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[4,19,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",152,152,"exact",152,152],[4,19,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",798,798,"exact",798,798],[4,19,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",2907,2907,"exact",2907,2907],[4,19,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1)",7752,7752,"exact",7752,7752],[4,19,"u","(2,2,2,2,2,2,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[4,19,"u","(2,2,2,2,2,2,2,2,2,1)",16796,16796,"exact",16796,16796],[4,19,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[4,19,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1615,1615,"exact",1615,1615],[4,19,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",8892,8892,"exact",8892,8892],[4,19,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[4,19,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",816,816,"exact",816,816],[4,19,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",9044,9044,"exact",9044,9044],[4,19,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3060,3060,"exact",3060,3060],[4,19,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1)",8568,8568,"exact",8568,8568],[4,19,"u","(7,1,1,1,1,1,1,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[4,20,"u","(16,4)",3705,1820,"exact",1820,1820],[4,20,"u","(16,1,1,1,1)",3876,1820,"exact",1820,1820],[4,20,"u","(16,2,2)",7600,3640,"exact",3640,3640],[4,20,"u","(15,5)",10659,8008,"exact",8008,8008],[4,20,"u","(16,3,1)",11305,5460,"exact",5460,5460],[4,20,"u","(16,2,1,1)",11475,5460,"exact",5460,5460],[4,20,"u","(15,1,1,1,1,1)",11628,9828,"exact",9828,9828],[4,20,"u","(10,10)",16796,16210,"exact",16210,16210],[4,20,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,20,"u","(17,1,1,1)",969,0,"exact",0,0],[4,20,"u","(17,2,1)",1920,0,"exact",0,0],[4,20,"u","(17,3)",950,0,"exact",0,0],[4,20,"u","(18,1,1)",171,0,"exact",0,0],[4,20,"u","(18,2)",170,0,"exact",0,0],[4,20,"u","(19,1)",19,0,"exact",0,0],[4,20,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[4,20,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",170,170,"exact",170,170],[4,20,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",950,950,"exact",950,950],[4,20,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",3705,3705,"exact",3705,3705],[4,20,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1)",10659,10659,"exact",10659,10659],[4,20,"u","(2,2,2,2,2,2,2,2,2,2)",16796,16796,"exact",16796,16796],[4,20,"u","(20)",1,0,"exact",0,0],[4,20,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",171,171,"exact",171,171],[4,20,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1920,1920,"exact",1920,1920],[4,20,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",11305,11305,"exact",11305,11305],[4,20,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7600,7600,"exact",7600,7600],[4,20,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",969,969,"exact",969,969],[4,20,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11475,11475,"exact",11475,11475],[4,20,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3876,3876,"exact",3876,3876],[4,20,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11628,11628,"exact",11628,11628],[4,21,"u","(17,4)",4655,2380,"exact",2380,2380],[4,21,"u","(17,1,1,1,1)",4845,2380,"exact",2380,2380],[4,21,"u","(17,2,2)",9520,4760,"exact",4760,4760],[4,21,"u","(17,3,1)",14175,7140,"exact",7140,7140],[4,21,"u","(16,5)",14364,11088,"exact",11088,11088],[4,21,"u","(17,2,1,1)",14364,7140,"exact",7140,7140],[4,21,"u","(16,1,1,1,1,1)",15504,13328,"exact",13328,13328],[4,21,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,21,"u","(18,1,1,1)",1140,0,"exact",0,0],[4,21,"u","(18,2,1)",2261,0,"exact",0,0],[4,21,"u","(18,3)",1120,0,"exact",0,0],[4,21,"u","(19,1,1)",190,0,"exact",0,0],[4,21,"u","(19,2)",189,0,"exact",0,0],[4,21,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",20,20,"exact",20,20],[4,21,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",189,189,"exact",189,189],[4,21,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1120,1120,"exact",1120,1120],[4,21,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",4655,4655,"exact",4655,4655],[4,21,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[4,21,"u","(20,1)",20,0,"exact",0,0],[4,21,"u","(21)",1,0,"exact",0,0],[4,21,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",190,190,"exact",190,190],[4,21,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2261,2261,"exact",2261,2261],[4,21,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14175,14175,"exact",14175,14175],[4,21,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",9520,9520,"exact",9520,9520],[4,21,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1140,1140,"exact",1140,1140],[4,21,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[4,21,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4845,4845,"exact",4845,4845],[4,21,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[4,22,"u","(18,4)",5775,3060,"exact",3060,3060],[4,22,"u","(18,1,1,1,1)",5985,3060,"exact",3060,3060],[4,22,"u","(18,2,2)",11781,6120,"exact",6120,6120],[4,22,"u","(18,3,1)",17556,9180,"exact",9180,9180],[4,22,"u","(18,2,1,1)",17765,9180,"exact",9180,9180],[4,22,"u","(17,5)",19019,15028,"exact",15028,15028],[4,22,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,22,"u","(19,1,1,1)",1330,0,"exact",0,0],[4,22,"u","(19,2,1)",2640,0,"exact",0,0],[4,22,"u","(19,3)",1309,0,"exact",0,0],[4,22,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",21,21,"exact",21,21],[4,22,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",209,209,"exact",209,209],[4,22,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1309,1309,"exact",1309,1309],[4,22,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5775,5775,"exact",5775,5775],[4,22,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",19019,19019,"exact",19019,19019],[4,22,"u","(20,1,1)",210,0,"exact",0,0],[4,22,"u","(20,2)",209,0,"exact",0,0],[4,22,"u","(21,1)",21,0,"exact",0,0],[4,22,"u","(22)",1,0,"exact",0,0],[4,22,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",210,210,"exact",210,210],[4,22,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[4,22,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17556,17556,"exact",17556,17556],[4,22,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11781,11781,"exact",11781,11781],[4,22,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1330,1330,"exact",1330,1330],[4,22,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17765,17765,"exact",17765,17765],[4,22,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[4,23,"u","(19,4)",7084,3876,"exact",3876,3876],[4,23,"u","(19,1,1,1,1)",7315,3876,"exact",3876,3876],[4,23,"u","(19,2,2)",14421,7752,"exact",7752,7752],[4,23,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,23,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",22,22,"exact",22,22],[4,23,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",230,230,"exact",230,230],[4,23,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1518,1518,"exact",1518,1518],[4,23,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7084,7084,"exact",7084,7084],[4,23,"u","(20,1,1,1)",1540,0,"exact",0,0],[4,23,"u","(20,2,1)",3059,0,"exact",0,0],[4,23,"u","(20,3)",1518,0,"exact",0,0],[4,23,"u","(21,1,1)",231,0,"exact",0,0],[4,23,"u","(21,2)",230,0,"exact",0,0],[4,23,"u","(22,1)",22,0,"exact",0,0],[4,23,"u","(23)",1,0,"exact",0,0],[4,23,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",231,231,"exact",231,231],[4,23,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3059,3059,"exact",3059,3059],[4,23,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14421,14421,"exact",14421,14421],[4,23,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1540,1540,"exact",1540,1540],[4,23,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7315,7315,"exact",7315,7315],[4,24,"u","(20,4)",8602,4845,"exact",4845,4845],[4,24,"u","(20,1,1,1,1)",8855,4845,"exact",4845,4845],[4,24,"u","(20,2,2)",17480,9690,"exact",9690,9690],[4,24,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,24,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",23,23,"exact",23,23],[4,24,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",252,252,"exact",252,252],[4,24,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1748,1748,"exact",1748,1748],[4,24,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8602,8602,"exact",8602,8602],[4,24,"u","(21,1,1,1)",1771,0,"exact",0,0],[4,24,"u","(21,2,1)",3520,0,"exact",0,0],[4,24,"u","(21,3)",1748,0,"exact",0,0],[4,24,"u","(22,1,1)",253,0,"exact",0,0],[4,24,"u","(22,2)",252,0,"exact",0,0],[4,24,"u","(23,1)",23,0,"exact",0,0],[4,24,"u","(24)",1,0,"exact",0,0],[4,24,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",253,253,"exact",253,253],[4,24,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3520,3520,"exact",3520,3520],[4,24,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17480,17480,"exact",17480,17480],[4,24,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1771,1771,"exact",1771,1771],[4,24,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8855,8855,"exact",8855,8855],[4,25,"u","(21,4)",10350,5985,"exact",5985,5985],[4,25,"u","(21,1,1,1,1)",10626,5985,"exact",5985,5985],[4,25,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,25,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",24,24,"exact",24,24],[4,25,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",275,275,"exact",275,275],[4,25,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2000,2000,"exact",2000,2000],[4,25,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10350,10350,"exact",10350,10350],[4,25,"u","(22,1,1,1)",2024,0,"exact",0,0],[4,25,"u","(22,2,1)",4025,0,"exact",0,0],[4,25,"u","(22,3)",2000,0,"exact",0,0],[4,25,"u","(23,1,1)",276,0,"exact",0,0],[4,25,"u","(23,2)",275,0,"exact",0,0],[4,25,"u","(24,1)",24,0,"exact",0,0],[4,25,"u","(25)",1,0,"exact",0,0],[4,25,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",276,276,"exact",276,276],[4,25,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4025,4025,"exact",4025,4025],[4,25,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2024,2024,"exact",2024,2024],[4,25,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10626,10626,"exact",10626,10626],[4,26,"u","(22,4)",12350,7315,"exact",7315,7315],[4,26,"u","(22,1,1,1,1)",12650,7315,"exact",7315,7315],[4,26,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,26,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",25,25,"exact",25,25],[4,26,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",299,299,"exact",299,299],[4,26,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2275,2275,"exact",2275,2275],[4,26,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12350,12350,"exact",12350,12350],[4,26,"u","(23,1,1,1)",2300,0,"exact",0,0],[4,26,"u","(23,2,1)",4576,0,"exact",0,0],[4,26,"u","(23,3)",2275,0,"exact",0,0],[4,26,"u","(24,1,1)",300,0,"exact",0,0],[4,26,"u","(24,2)",299,0,"exact",0,0],[4,26,"u","(25,1)",25,0,"exact",0,0],[4,26,"u","(26)",1,0,"exact",0,0],[4,26,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",300,300,"exact",300,300],[4,26,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4576,4576,"exact",4576,4576],[4,26,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2300,2300,"exact",2300,2300],[4,26,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12650,12650,"exact",12650,12650],[4,27,"u","(23,4)",14625,8855,"exact",8855,8855],[4,27,"u","(23,1,1,1,1)",14950,8855,"exact",8855,8855],[4,27,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,27,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",26,26,"exact",26,26],[4,27,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",324,324,"exact",324,324],[4,27,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2574,2574,"exact",2574,2574],[4,27,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14625,14625,"exact",14625,14625],[4,27,"u","(24,1,1,1)",2600,0,"exact",0,0],[4,27,"u","(24,2,1)",5175,0,"exact",0,0],[4,27,"u","(24,3)",2574,0,"exact",0,0],[4,27,"u","(25,1,1)",325,0,"exact",0,0],[4,27,"u","(25,2)",324,0,"exact",0,0],[4,27,"u","(26,1)",26,0,"exact",0,0],[4,27,"u","(27)",1,0,"exact",0,0],[4,27,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",325,325,"exact",325,325],[4,27,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5175,5175,"exact",5175,5175],[4,27,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2600,2600,"exact",2600,2600],[4,27,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14950,14950,"exact",14950,14950],[4,28,"u","(24,4)",17199,10626,"exact",10626,10626],[4,28,"u","(24,1,1,1,1)",17550,10626,"exact",10626,10626],[4,28,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,28,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",27,27,"exact",27,27],[4,28,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[4,28,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2898,2898,"exact",2898,2898],[4,28,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17199,17199,"exact",17199,17199],[4,28,"u","(25,1,1,1)",2925,0,"exact",0,0],[4,28,"u","(25,2,1)",5824,0,"exact",0,0],[4,28,"u","(25,3)",2898,0,"exact",0,0],[4,28,"u","(26,1,1)",351,0,"exact",0,0],[4,28,"u","(26,2)",350,0,"exact",0,0],[4,28,"u","(27,1)",27,0,"exact",0,0],[4,28,"u","(28)",1,0,"exact",0,0],[4,28,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",351,351,"exact",351,351],[4,28,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5824,5824,"exact",5824,5824],[4,28,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[4,28,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17550,17550,"exact",17550,17550],[4,29,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,29,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",28,28,"exact",28,28],[4,29,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",377,377,"exact",377,377],[4,29,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3248,3248,"exact",3248,3248],[4,29,"u","(26,1,1,1)",3276,0,"exact",0,0],[4,29,"u","(26,2,1)",6525,0,"exact",0,0],[4,29,"u","(26,3)",3248,0,"exact",0,0],[4,29,"u","(27,1,1)",378,0,"exact",0,0],[4,29,"u","(27,2)",377,0,"exact",0,0],[4,29,"u","(28,1)",28,0,"exact",0,0],[4,29,"u","(29)",1,0,"exact",0,0],[4,29,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",378,378,"exact",378,378],[4,29,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",6525,6525,"exact",6525,6525],[4,29,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3276,3276,"exact",3276,3276],[4,30,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,30,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",29,29,"exact",29,29],[4,30,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",405,405,"exact",405,405],[4,30,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3625,3625,"exact",3625,3625],[4,30,"u","(27,1,1,1)",3654,0,"exact",0,0],[4,30,"u","(27,2,1)",7280,0,"exact",0,0],[4,30,"u","(27,3)",3625,0,"exact",0,0],[4,30,"u","(28,1,1)",406,0,"exact",0,0],[4,30,"u","(28,2)",405,0,"exact",0,0],[4,30,"u","(29,1)",29,0,"exact",0,0],[4,30,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",406,406,"exact",406,406],[4,30,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7280,7280,"exact",7280,7280],[4,30,"u","(30)",1,0,"exact",0,0],[4,30,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3654,3654,"exact",3654,3654],[4,31,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,31,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",30,30,"exact",30,30],[4,31,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",434,434,"exact",434,434],[4,31,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4030,4030,"exact",4030,4030],[4,31,"u","(28,1,1,1)",4060,0,"exact",0,0],[4,31,"u","(28,2,1)",8091,0,"exact",0,0],[4,31,"u","(28,3)",4030,0,"exact",0,0],[4,31,"u","(29,1,1)",435,0,"exact",0,0],[4,31,"u","(29,2)",434,0,"exact",0,0],[4,31,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",435,435,"exact",435,435],[4,31,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8091,8091,"exact",8091,8091],[4,31,"u","(30,1)",30,0,"exact",0,0],[4,31,"u","(31)",1,0,"exact",0,0],[4,31,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4060,4060,"exact",4060,4060],[5,16,"c","(2,2,2,2,2,2,2,2)",1430,1,"lower 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bound",0,110150],[5,15,"e","(7,3,2,1,1,1)",150150,104715,"upper bound",0,104715],[5,15,"e","(7,3,1,1,1,1,1)",51975,33427,"upper bound",0,33427],[5,15,"e","(7,2,2,2,2)",34398,19026,"upper bound",0,19026],[5,15,"e","(7,2,2,2,1,1)",70070,49441,"upper bound",0,49441],[5,15,"e","(6,6,3)",21450,7260,"upper bound",0,7260],[5,15,"e","(6,6,2,1)",50050,29473,"upper bound",0,29473],[5,15,"e","(6,6,1,1,1)",28028,16854,"upper bound",0,16854],[5,15,"e","(6,5,4)",30030,10329,"upper bound",0,10329],[5,15,"e","(6,5,3,1)",128700,84153,"upper bound",0,84153],[5,15,"e","(6,5,2,2)",100100,69885,"upper bound",0,69885],[5,15,"e","(6,5,2,1,1)",162162,113886,"upper bound",0,113886],[5,15,"e","(6,5,1,1,1,1)",63700,40151,"upper bound",0,40151],[5,15,"e","(6,4,4,1)",80080,53090,"upper bound",0,53090],[5,15,"e","(6,4,3,2)",175175,124332,"upper bound",0,124332],[5,15,"e","(6,4,3,1,1)",231660,165366,"upper bound",0,165366],[5,15,"e","(6,4,2,2,1)",243243,174924,"upper 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,13,"f","(5,4,2,1,1)",21450,0,"exact",0,0],[5,13,"f","(5,4,2,2)",12870,0,"exact",0,0],[5,13,"f","(5,4,3,1)",15015,0,"exact",0,0],[5,13,"f","(5,4,4)",2574,0,"exact",0,0],[5,13,"f","(5,5,1,1,1)",5005,0,"exact",0,0],[5,13,"f","(5,5,2,1)",8580,0,"exact",0,0],[5,13,"f","(5,5,3)",3432,0,"exact",0,0],[5,13,"f","(6,1,1,1,1,1,1,1)",792,1,"exact",1,1],[5,13,"f","(6,2,1,1,1,1,1)",4290,0,"exact",0,0],[5,13,"f","(6,2,2,1,1,1)",9360,0,"exact",0,0],[5,13,"f","(6,2,2,2,1)",9009,0,"exact",0,0],[5,13,"f","(6,3,1,1,1,1)",9360,0,"exact",0,0],[5,13,"f","(6,3,2,1,1)",20592,0,"exact",0,0],[5,13,"f","(6,3,2,2)",12012,0,"exact",0,0],[5,13,"f","(6,3,3,1)",11440,0,"exact",0,0],[5,13,"f","(6,4,1,1,1)",10296,0,"exact",0,0],[5,13,"f","(6,4,2,1)",17160,0,"exact",0,0],[5,13,"f","(6,4,3)",6435,0,"exact",0,0],[5,13,"f","(6,5,1,1)",5720,0,"exact",0,0],[5,13,"f","(6,5,2)",5148,0,"exact",0,0],[5,13,"f","(6,6,1)",1287,0,"exact",0,0],[5,13,"f","(7,1,1,1,1,1,1)",924,0,"exact",0,0],[5,13,"f","(7,2,1,1,1,1)",4290,0,"exact",0,0],[5,13,"f","(7,2,2,1,1)",7371,0,"exact",0,0],[5,13,"f","(7,2,2,2)",4004,0,"exact",0,0],[5,13,"f","(7,3,1,1,1)",7800,0,"exact",0,0],[5,13,"f","(7,3,2,1)",12012,0,"exact",0,0],[5,13,"f","(7,3,3)",3575,0,"exact",0,0],[5,13,"f","(7,4,1,1)",6864,0,"exact",0,0],[5,13,"f","(7,4,2)",6006,0,"exact",0,0],[5,13,"f","(7,5,1)",2860,0,"exact",0,0],[5,13,"f","(7,6)",429,0,"exact",0,0],[5,13,"f","(8,1,1,1,1,1)",792,0,"exact",0,0],[5,13,"f","(8,2,1,1,1)",3003,0,"exact",0,0],[5,13,"f","(8,2,2,1)",3640,0,"exact",0,0],[5,13,"f","(8,3,1,1)",4212,0,"exact",0,0],[5,13,"f","(8,3,2)",3432,0,"exact",0,0],[5,13,"f","(8,4,1)",2574,0,"exact",0,0],[5,13,"f","(8,5)",572,0,"exact",0,0],[5,13,"f","(9,1,1,1,1)",495,0,"exact",0,0],[5,13,"f","(9,2,1,1)",1430,0,"exact",0,0],[5,13,"f","(9,2,2)",936,0,"exact",0,0],[5,13,"f","(9,3,1)",1365,0,"exact",0,0],[5,13,"f","(9,4)",429,0,"exact",0,0],[5,13,"f","(10,1,1,1)",220,0,"exact",0,0],[5,13,"f","(10,2,1)",429,0,"exact",0,0],[5,13,"f","(10,3)",208,0,"exact",0,0],[5,13,"f","(11,1,1)",66,0,"exact",0,0],[5,13,"f","(11,2)",65,0,"exact",0,0],[5,13,"f","(12,1)",12,0,"exact",0,0],[5,13,"f","(13)",1,0,"exact",0,0],[5,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,9,"exact",9,9],[5,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,31,"exact",31,31],[5,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,57,"exact",57,57],[5,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,58,"exact",58,58],[5,14,"f","(2,2,2,2,2,1,1,1,1)",1001,28,"exact",28,28],[5,14,"f","(2,2,2,2,2,2,1,1)",1001,5,"exact",5,5],[5,14,"f","(2,2,2,2,2,2,2)",429,0,"exact",0,0],[5,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,32,"exact",32,32],[5,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,118,"exact",118,118],[5,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,178,"exact",178,178],[5,14,"f","(3,2,2,2,1,1,1,1,1)",4368,125,"exact",125,125],[5,14,"f","(3,2,2,2,2,1,1,1)",6006,36,"exact",36,36],[5,14,"f","(3,2,2,2,2,2,1)",4576,2,"lower bound",2,12],[5,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,122,"exact",122,122],[5,14,"f","(3,3,2,1,1,1,1,1,1)",5733,156,"lower bound",156,186],[5,14,"f","(3,3,2,2,1,1,1,1)",12012,73,"exact",73,73],[5,14,"f","(3,3,2,2,2,1,1)",14014,9,"exact",9,9],[5,14,"f","(3,3,2,2,2,2)",6435,0,"exact",0,0],[5,14,"f","(3,3,3,1,1,1,1,1)",7007,36,"exact",36,36],[5,14,"f","(3,3,3,2,1,1,1)",16016,12,"exact",12,12],[5,14,"f","(3,3,3,2,2,1)",15015,0,"exact",0,0],[5,14,"f","(3,3,3,3,1,1)",9009,1,"lower bound",1,2],[5,14,"f","(3,3,3,3,2)",6006,0,"exact",0,0],[5,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,62,"exact",62,62],[5,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,186,"exact",186,186],[5,14,"f","(4,2,2,1,1,1,1,1,1)",7007,198,"lower bound",198,311],[5,14,"f","(4,2,2,2,1,1,1,1)",13650,91,"exact",91,91],[5,14,"f","(4,2,2,2,2,1,1)",15444,17,"exact",17,17],[5,14,"f","(4,2,2,2,2,2)",7007,0,"exact",0,0],[5,14,"f","(4,3,1,1,1,1,1,1,1)",6006,160,"lower bound",160,239],[5,14,"f","(4,3,2,1,1,1,1,1)",23296,134,"lower bound",134,9478],[5,14,"f","(4,3,2,2,1,1,1)",42042,36,"lower bound",36,16820],[5,14,"f","(4,3,2,2,2,1)",36608,2,"lower bound",2,14528],[5,14,"f","(4,3,3,1,1,1,1)",27027,19,"lower bound",19,10725],[5,14,"f","(4,3,3,2,1,1)",50050,3,"lower bound",3,19640],[5,14,"f","(4,3,3,2,2)",27027,10548,"upper bound",0,10548],[5,14,"f","(4,3,3,3,1)",21021,8148,"upper bound",0,8148],[5,14,"f","(4,4,1,1,1,1,1,1)",7644,41,"exact",41,41],[5,14,"f","(4,4,2,1,1,1,1)",28028,19,"lower bound",19,11000],[5,14,"f","(4,4,2,2,1,1)",42042,3,"lower bound",3,16317],[5,14,"f","(4,4,2,2,2)",21450,8280,"upper bound",0,8280],[5,14,"f","(4,4,3,1,1,1)",35035,13486,"upper bound",0,13486],[5,14,"f","(4,4,3,2,1)",48048,18336,"upper bound",0,18336],[5,14,"f","(4,4,3,3)",12012,0,"exact",0,0],[5,14,"f","(4,4,4,1,1)",15015,0,"exact",0,0],[5,14,"f","(4,4,4,2)",12012,0,"exact",0,0],[5,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,67,"exact",67,67],[5,14,"f","(5,2,1,1,1,1,1,1,1)",4928,133,"lower bound",133,225],[5,14,"f","(5,2,2,1,1,1,1,1)",15015,95,"exact",95,95],[5,14,"f","(5,2,2,2,1,1,1)",24960,30,"lower bound",30,9746],[5,14,"f","(5,2,2,2,2,1)",21021,4,"lower bound",4,8141],[5,14,"f","(5,3,1,1,1,1,1,1)",14014,70,"lower bound",70,73],[5,14,"f","(5,3,2,1,1,1,1)",47775,36,"lower bound",36,18416],[5,14,"f","(5,3,2,2,1,1)",69498,4,"lower bound",4,26496],[5,14,"f","(5,3,2,2,2)",35035,13286,"upper bound",0,13286],[5,14,"f","(5,3,3,1,1,1)",48048,3,"lower bound",3,18170],[5,14,"f","(5,3,3,2,1)",64064,24020,"upper bound",0,24020],[5,14,"f","(5,3,3,3)",15015,0,"exact",0,0],[5,14,"f","(5,4,1,1,1,1,1)",20384,12,"lower bound",12,7744],[5,14,"f","(5,4,2,1,1,1)",63063,3,"lower bound",3,23596],[5,14,"f","(5,4,2,2,1)",68640,25454,"upper bound",0,25454],[5,14,"f","(5,4,3,1,1)",64064,23552,"upper bound",0,23552],[5,14,"f","(5,4,3,2)",48048,17550,"upper bound",0,17550],[5,14,"f","(5,4,4,1)",21021,7566,"upper bound",0,7566],[5,14,"f","(5,5,1,1,1,1)",14014,1,"exact",1,1],[5,14,"f","(5,5,2,1,1)",35035,12631,"upper bound",0,12631],[5,14,"f","(5,5,2,2)",21450,7680,"upper bound",0,7680],[5,14,"f","(5,5,3,1)",27027,9585,"upper bound",0,9585],[5,14,"f","(5,5,4)",6006,0,"exact",0,0],[5,14,"f","(6,1,1,1,1,1,1,1,1)",1287,32,"exact",32,32],[5,14,"f","(6,2,1,1,1,1,1,1)",8085,39,"lower bound",39,49],[5,14,"f","(6,2,2,1,1,1,1)",21450,17,"lower bound",17,7968],[5,14,"f","(6,2,2,2,1,1)",28665,4,"lower bound",4,10535],[5,14,"f","(6,2,2,2,2)",14014,0,"exact",0,0],[5,14,"f","(6,3,1,1,1,1,1)",21021,9,"lower bound",9,7743],[5,14,"f","(6,3,2,1,1,1)",59904,2,"lower bound",2,21736],[5,14,"f","(6,3,2,2,1)",63063,22674,"upper bound",0,22674],[5,14,"f","(6,3,3,1,1)",48048,17124,"upper bound",0,17124],[5,14,"f","(6,3,3,2)",35035,12400,"upper bound",0,12400],[5,14,"f","(6,4,1,1,1,1)",28665,10234,"upper bound",0,10234],[5,14,"f","(6,4,2,1,1)",69498,24462,"upper bound",0,24462],[5,14,"f","(6,4,2,2)",42042,14692,"upper bound",0,14692],[5,14,"f","(6,4,3,1)",50050,17320,"upper bound",0,17320],[5,14,"f","(6,4,4)",9009,0,"exact",0,0],[5,14,"f","(6,5,1,1,1)",21021,7194,"upper bound",0,7194],[5,14,"f","(6,5,2,1)",36608,12368,"upper bound",0,12368],[5,14,"f","(6,5,3)",15015,0,"exact",0,0],[5,14,"f","(6,6,1,1)",7007,0,"exact",0,0],[5,14,"f","(6,6,2)",6435,0,"exact",0,0],[5,14,"f","(7,1,1,1,1,1,1,1)",1716,4,"exact",4,4],[5,14,"f","(7,2,1,1,1,1,1)",9504,2,"lower bound",2,4],[5,14,"f","(7,2,2,1,1,1)",21021,7224,"upper bound",0,7224],[5,14,"f","(7,2,2,2,1)",20384,6930,"upper bound",0,6930],[5,14,"f","(7,3,1,1,1,1)",21450,7280,"upper bound",0,7280],[5,14,"f","(7,3,2,1,1)",47775,15960,"upper bound",0,15960],[5,14,"f","(7,3,2,2)",28028,9286,"upper bound",0,9286],[5,14,"f","(7,3,3,1)",27027,8856,"upper bound",0,8856],[5,14,"f","(7,4,1,1,1)",24960,8148,"upper bound",0,8148],[5,14,"f","(7,4,2,1)",42042,13530,"upper bound",0,13530],[5,14,"f","(7,4,3)",16016,0,"exact",0,0],[5,14,"f","(7,5,1,1)",15444,0,"exact",0,0],[5,14,"f","(7,5,2)",14014,0,"exact",0,0],[5,14,"f","(7,6,1)",4576,0,"exact",0,0],[5,14,"f","(7,7)",429,0,"exact",0,0],[5,14,"f","(8,1,1,1,1,1,1)",1716,0,"exact",0,0],[5,14,"f","(8,2,1,1,1,1)",8085,0,"exact",0,0],[5,14,"f","(8,2,2,1,1)",14014,0,"exact",0,0],[5,14,"f","(8,2,2,2)",7644,0,"exact",0,0],[5,14,"f","(8,3,1,1,1)",15015,0,"exact",0,0],[5,14,"f","(8,3,2,1)",23296,6608,"upper bound",0,6608],[5,14,"f","(8,3,3)",7007,0,"exact",0,0],[5,14,"f","(8,4,1,1)",13650,0,"exact",0,0],[5,14,"f","(8,4,2)",12012,0,"exact",0,0],[5,14,"f","(8,5,1)",6006,0,"exact",0,0],[5,14,"f","(8,6)",1001,0,"exact",0,0],[5,14,"f","(9,1,1,1,1,1)",1287,0,"exact",0,0],[5,14,"f","(9,2,1,1,1)",4928,0,"exact",0,0],[5,14,"f","(9,2,2,1)",6006,0,"exact",0,0],[5,14,"f","(9,3,1,1)",7007,0,"exact",0,0],[5,14,"f","(9,3,2)",5733,0,"exact",0,0],[5,14,"f","(9,4,1)",4368,0,"exact",0,0],[5,14,"f","(9,5)",1001,0,"exact",0,0],[5,14,"f","(10,1,1,1,1)",715,0,"exact",0,0],[5,14,"f","(10,2,1,1)",2079,0,"exact",0,0],[5,14,"f","(10,2,2)",1365,0,"exact",0,0],[5,14,"f","(10,3,1)",2002,0,"exact",0,0],[5,14,"f","(10,4)",637,0,"exact",0,0],[5,14,"f","(11,1,1,1)",286,0,"exact",0,0],[5,14,"f","(11,2,1)",560,0,"exact",0,0],[5,14,"f","(11,3)",273,0,"exact",0,0],[5,14,"f","(12,1,1)",78,0,"exact",0,0],[5,14,"f","(12,2)",77,0,"exact",0,0],[5,14,"f","(13,1)",13,0,"exact",0,0],[5,14,"f","(14)",1,0,"exact",0,0],[5,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,11,"exact",11,11],[5,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,47,"exact",47,47],[5,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,113,"exact",113,113],[5,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,165,"exact",165,165],[5,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,145,"exact",145,145],[5,15,"f","(2,2,2,2,2,2,1,1,1)",2002,69,"exact",69,69],[5,15,"f","(2,2,2,2,2,2,2,1)",1430,15,"exact",15,15],[5,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,48,"exact",48,48],[5,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,232,"exact",232,232],[5,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,507,"exact",507,507],[5,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,598,"exact",598,598],[5,15,"f","(3,2,2,2,2,1,1,1,1)",11375,380,"exact",380,380],[5,15,"f","(3,2,2,2,2,2,1,1)",11583,116,"exact",116,116],[5,15,"f","(3,2,2,2,2,2,2)",5005,12,"exact",12,12],[5,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,344,"exact",344,344],[5,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,759,"exact",759,759],[5,15,"f","(3,3,2,2,1,1,1,1,1)",22113,705,"lower bound",705,9611],[5,15,"f","(3,3,2,2,2,1,1,1)",32032,307,"lower bound",307,13431],[5,15,"f","(3,3,2,2,2,2,1)",25025,50,"lower bound",50,10370],[5,15,"f","(3,3,3,1,1,1,1,1,1)",12740,388,"exact",388,388],[5,15,"f","(3,3,3,2,1,1,1,1)",35035,310,"lower bound",310,14534],[5,15,"f","(3,3,3,2,2,1,1)",45045,85,"lower bound",85,18409],[5,15,"f","(3,3,3,2,2,2)",21450,4,"lower bound",4,8718],[5,15,"f","(3,3,3,3,1,1,1)",25025,47,"lower bound",47,10165],[5,15,"f","(3,3,3,3,2,1)",30030,8,"lower bound",8,12098],[5,15,"f","(3,3,3,3,3)",6006,0,"exact",0,0],[5,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,120,"exact",120,120],[5,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,525,"exact",525,525],[5,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,928,"exact",928,928],[5,15,"f","(4,2,2,2,1,1,1,1,1)",25025,814,"lower bound",814,10838],[5,15,"f","(4,2,2,2,2,1,1,1)",35100,358,"lower bound",358,14547],[5,15,"f","(4,2,2,2,2,2,1)",27027,70,"lower bound",70,11066],[5,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,781,"exact",781,781],[5,15,"f","(4,3,2,1,1,1,1,1,1)",42042,1284,"lower bound",1284,27355],[5,15,"f","(4,3,2,2,1,1,1,1)",91000,334,"lower bound",334,63275],[5,15,"f","(4,3,2,2,2,1,1)",108108,64,"lower bound",64,74771],[5,15,"f","(4,3,2,2,2,2)",50050,20,"lower bound",20,34533],[5,15,"f","(4,3,3,1,1,1,1,1)",57330,482,"lower bound",482,43267],[5,15,"f","(4,3,3,2,1,1,1)",135135,70,"lower bound",70,100898],[5,15,"f","(4,3,3,2,2,1)",128700,5,"lower bound",5,95508],[5,15,"f","(4,3,3,3,1,1)",80080,4,"lower bound",4,59198],[5,15,"f","(4,3,3,3,2)",54054,2,"lower bound",2,39792],[5,15,"f","(4,4,1,1,1,1,1,1,1)",13650,404,"exact",404,404],[5,15,"f","(4,4,2,1,1,1,1,1)",58968,490,"lower bound",490,43981],[5,15,"f","(4,4,2,2,1,1,1)",112112,58,"lower bound",58,88261],[5,15,"f","(4,4,2,2,2,1)",100100,5,"lower bound",5,78250],[5,15,"f","(4,4,3,1,1,1,1)",90090,38,"lower bound",38,70416],[5,15,"f","(4,4,3,2,1,1)",175175,6,"lower bound",6,135567],[5,15,"f","(4,4,3,2,2)",96525,74334,"upper bound",0,74334],[5,15,"f","(4,4,3,3,1)",81081,57516,"upper bound",0,57516],[5,15,"f","(4,4,4,1,1,1)",50050,6,"lower bound",6,32633],[5,15,"f","(4,4,4,2,1)",75075,46836,"upper bound",0,46836],[5,15,"f","(4,4,4,3)",24024,9042,"upper bound",0,9042],[5,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,184,"exact",184,184],[5,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,644,"exact",644,644],[5,15,"f","(5,2,2,1,1,1,1,1,1)",26950,841,"lower bound",841,11397],[5,15,"f","(5,2,2,2,1,1,1,1)",53625,528,"lower bound",528,31180],[5,15,"f","(5,2,2,2,2,1,1)",61425,166,"lower bound",166,42058],[5,15,"f","(5,2,2,2,2,2)",28028,24,"lower bound",24,19117],[5,15,"f","(5,3,1,1,1,1,1,1,1)",24948,736,"lower bound",736,10434],[5,15,"f","(5,3,2,1,1,1,1,1)",100100,335,"lower bound",335,67294],[5,15,"f","(5,3,2,2,1,1,1)",184275,106,"lower bound",106,142929],[5,15,"f","(5,3,2,2,2,1)",162162,10,"lower bound",10,124902],[5,15,"f","(5,3,3,1,1,1,1)",122850,58,"lower bound",58,94614],[5,15,"f","(5,3,3,2,1,1)",231660,10,"lower bound",10,176670],[5,15,"f","(5,3,3,2,2)",126126,95720,"upper bound",0,95720],[5,15,"f","(5,3,3,3,1)",100100,69928,"upper bound",0,69928],[5,15,"f","(5,4,1,1,1,1,1,1)",42042,320,"lower bound",320,24127],[5,15,"f","(5,4,2,1,1,1,1)",159250,70,"lower bound",70,121512],[5,15,"f","(5,4,2,2,1,1)",243243,10,"lower bound",10,183771],[5,15,"f","(5,4,2,2,2)",125125,94070,"upper bound",0,94070],[5,15,"f","(5,4,3,1,1,1)",210210,6,"lower bound",6,157680],[5,15,"f","(5,4,3,2,1)",292864,217968,"upper bound",0,217968],[5,15,"f","(5,4,3,3)",75075,45270,"upper bound",0,45270],[5,15,"f","(5,4,4,1,1)",100100,67978,"upper bound",0,67978],[5,15,"f","(5,4,4,2)",81081,54816,"upper bound",0,54816],[5,15,"f","(5,5,1,1,1,1,1)",34398,47,"lower bound",47,20624],[5,15,"f","(5,5,2,1,1,1)",112112,4,"lower bound",4,77668],[5,15,"f","(5,5,2,2,1)",125125,91665,"upper bound",0,91665],[5,15,"f","(5,5,3,1,1)",126126,91716,"upper bound",0,91716],[5,15,"f","(5,5,3,2)",96525,69795,"upper bound",0,69795],[5,15,"f","(5,5,4,1)",54054,36522,"upper bound",0,36522],[5,15,"f","(5,5,5)",6006,0,"exact",0,0],[5,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,170,"exact",170,170],[5,15,"f","(6,2,1,1,1,1,1,1,1)",14300,418,"exact",418,418],[5,15,"f","(6,2,2,1,1,1,1,1)",44550,384,"lower bound",384,25048],[5,15,"f","(6,2,2,2,1,1,1)",75075,51,"lower bound",51,56486],[5,15,"f","(6,2,2,2,2,1)",63700,42,"lower bound",42,42476],[5,15,"f","(6,3,1,1,1,1,1,1)",43120,313,"lower bound",313,24136],[5,15,"f","(6,3,2,1,1,1,1)",150150,64,"lower bound",64,111736],[5,15,"f","(6,3,2,2,1,1)",221130,10,"lower bound",10,162954],[5,15,"f","(6,3,2,2,2)",112112,77092,"upper bound",0,77092],[5,15,"f","(6,3,3,1,1,1)",156000,5,"lower bound",5,114150],[5,15,"f","(6,3,3,2,1)",210210,152616,"upper bound",0,152616],[5,15,"f","(6,3,3,3)",50050,30440,"upper bound",0,30440],[5,15,"f","(6,4,1,1,1,1,1)",70070,21,"lower bound",21,51480],[5,15,"f","(6,4,2,1,1,1)",221130,5,"lower bound",5,160299],[5,15,"f","(6,4,2,2,1)",243243,174924,"upper bound",0,174924],[5,15,"f","(6,4,3,1,1)",231660,165366,"upper bound",0,165366],[5,15,"f","(6,4,3,2)",175175,124332,"upper bound",0,124332],[5,15,"f","(6,4,4,1)",80080,53090,"upper bound",0,53090],[5,15,"f","(6,5,1,1,1,1)",63700,8,"lower bound",8,40151],[5,15,"f","(6,5,2,1,1)",162162,113886,"upper bound",0,113886],[5,15,"f","(6,5,2,2)",100100,69885,"upper bound",0,69885],[5,15,"f","(6,5,3,1)",128700,84153,"upper bound",0,84153],[5,15,"f","(6,5,4)",30030,10329,"upper bound",0,10329],[5,15,"f","(6,6,1,1,1)",28028,16854,"upper bound",0,16854],[5,15,"f","(6,6,2,1)",50050,29473,"upper bound",0,29473],[5,15,"f","(6,6,3)",21450,7260,"upper bound",0,7260],[5,15,"f","(7,1,1,1,1,1,1,1,1)",3003,80,"exact",80,80],[5,15,"f","(7,2,1,1,1,1,1,1)",19305,126,"exact",126,126],[5,15,"f","(7,2,2,1,1,1,1)",51975,76,"lower bound",76,33724],[5,15,"f","(7,2,2,2,1,1)",70070,4,"lower bound",4,49441],[5,15,"f","(7,2,2,2,2)",34398,5,"lower bound",5,19026],[5,15,"f","(7,3,1,1,1,1,1)",51975,49,"lower bound",49,33427],[5,15,"f","(7,3,2,1,1,1)",150150,2,"lower bound",2,104715],[5,15,"f","(7,3,2,2,1)",159250,110150,"upper bound",0,110150],[5,15,"f","(7,3,3,1,1)",122850,84330,"upper bound",0,84330],[5,15,"f","(7,3,3,2)",90090,61474,"upper bound",0,61474],[5,15,"f","(7,4,1,1,1,1)",75075,51630,"upper bound",0,51630],[5,15,"f","(7,4,2,1,1)",184275,125190,"upper bound",0,125190],[5,15,"f","(7,4,2,2)",112112,75700,"upper bound",0,75700],[5,15,"f","(7,4,3,1)",135135,85444,"upper bound",0,85444],[5,15,"f","(7,4,4)",25025,8360,"upper bound",0,8360],[5,15,"f","(7,5,1,1,1)",61425,36042,"upper bound",0,36042],[5,15,"f","(7,5,2,1)",108108,62033,"upper bound",0,62033],[5,15,"f","(7,5,3)",45045,14916,"upper bound",0,14916],[5,15,"f","(7,6,1,1)",27027,8844,"upper bound",0,8844],[5,15,"f","(7,6,2)",25025,8140,"upper bound",0,8140],[5,15,"f","(7,7,1)",5005,0,"exact",0,0],[5,15,"f","(8,1,1,1,1,1,1,1)",3432,13,"exact",13,13],[5,15,"f","(8,2,1,1,1,1,1)",19305,11,"exact",11,11],[5,15,"f","(8,2,2,1,1,1)",43120,3,"lower bound",3,21448],[5,15,"f","(8,2,2,2,1)",42042,20706,"upper bound",0,20706],[5,15,"f","(8,3,1,1,1,1)",44550,1,"lower bound",1,21887],[5,15,"f","(8,3,2,1,1)",100100,55078,"upper bound",0,55078],[5,15,"f","(8,3,2,2)",58968,32592,"upper bound",0,32592],[5,15,"f","(8,3,3,1)",57330,30660,"upper bound",0,30660],[5,15,"f","(8,4,1,1,1)",53625,25398,"upper bound",0,25398],[5,15,"f","(8,4,2,1)",91000,47040,"upper bound",0,47040],[5,15,"f","(8,4,3)",35035,11088,"upper bound",0,11088],[5,15,"f","(8,5,1,1)",35100,11055,"upper bound",0,11055],[5,15,"f","(8,5,2)",32032,10032,"upper bound",0,10032],[5,15,"f","(8,6,1)",11583,0,"exact",0,0],[5,15,"f","(8,7)",1430,0,"exact",0,0],[5,15,"f","(9,1,1,1,1,1,1)",3003,0,"exact",0,0],[5,15,"f","(9,2,1,1,1,1)",14300,0,"exact",0,0],[5,15,"f","(9,2,2,1,1)",24948,7488,"upper bound",0,7488],[5,15,"f","(9,2,2,2)",13650,0,"exact",0,0],[5,15,"f","(9,3,1,1,1)",26950,8050,"upper bound",0,8050],[5,15,"f","(9,3,2,1)",42042,14448,"upper bound",0,14448],[5,15,"f","(9,3,3)",12740,0,"exact",0,0],[5,15,"f","(9,4,1,1)",25025,7370,"upper bound",0,7370],[5,15,"f","(9,4,2)",22113,6480,"upper bound",0,6480],[5,15,"f","(9,5,1)",11375,0,"exact",0,0],[5,15,"f","(9,6)",2002,0,"exact",0,0],[5,15,"f","(10,1,1,1,1,1)",2002,0,"exact",0,0],[5,15,"f","(10,2,1,1,1)",7722,0,"exact",0,0],[5,15,"f","(10,2,2,1)",9450,0,"exact",0,0],[5,15,"f","(10,3,1,1)",11088,0,"exact",0,0],[5,15,"f","(10,3,2)",9100,0,"exact",0,0],[5,15,"f","(10,4,1)",7007,0,"exact",0,0],[5,15,"f","(10,5)",1638,0,"exact",0,0],[5,15,"f","(11,1,1,1,1)",1001,0,"exact",0,0],[5,15,"f","(11,2,1,1)",2925,0,"exact",0,0],[5,15,"f","(11,2,2)",1925,0,"exact",0,0],[5,15,"f","(11,3,1)",2835,0,"exact",0,0],[5,15,"f","(11,4)",910,0,"exact",0,0],[5,15,"f","(12,1,1,1)",364,0,"exact",0,0],[5,15,"f","(12,2,1)",715,0,"exact",0,0],[5,15,"f","(12,3)",350,0,"exact",0,0],[5,15,"f","(13,1,1)",91,0,"exact",0,0],[5,15,"f","(13,2)",90,0,"exact",0,0],[5,15,"f","(14,1)",14,0,"exact",0,0],[5,15,"f","(15)",1,0,"exact",0,0],[5,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,16,"f","(10,1,1,1,1,1,1)",5005,76,"upper bound",0,76],[5,16,"f","(10,2,1,1,1,1)",24024,10500,"upper bound",0,10500],[5,16,"f","(10,2,2,1,1)",42120,17640,"upper bound",0,17640],[5,16,"f","(10,2,2,2)",23100,9450,"upper bound",0,9450],[5,16,"f","(10,3,1,1,1)",45760,18900,"upper bound",0,18900],[5,16,"f","(10,3,2,1)",71680,28560,"upper bound",0,28560],[5,16,"f","(10,3,3)",21840,8400,"upper bound",0,8400],[5,16,"f","(10,4,1,1)",43120,16800,"upper bound",0,16800],[5,16,"f","(10,4,2)",38220,14490,"upper bound",0,14490],[5,16,"f","(10,5,1)",20020,7350,"upper bound",0,7350],[5,16,"f","(10,6)",3640,0,"exact",0,0],[5,16,"f","(11,1,1,1,1,1)",3003,0,"exact",0,0],[5,16,"f","(11,2,1,1,1)",11648,0,"exact",0,0],[5,16,"f","(11,2,2,1)",14300,0,"exact",0,0],[5,16,"f","(11,3,1,1)",16848,0,"exact",0,0],[5,16,"f","(11,3,2)",13860,0,"exact",0,0],[5,16,"f","(11,4,1)",10752,0,"exact",0,0],[5,16,"f","(11,5)",2548,0,"exact",0,0],[5,16,"f","(12,1,1,1,1)",1365,0,"exact",0,0],[5,16,"f","(12,2,1,1)",4004,0,"exact",0,0],[5,16,"f","(12,2,2)",2640,0,"exact",0,0],[5,16,"f","(12,3,1)",3900,0,"exact",0,0],[5,16,"f","(12,4)",1260,0,"exact",0,0],[5,16,"f","(13,1,1,1)",455,0,"exact",0,0],[5,16,"f","(13,2,1)",896,0,"exact",0,0],[5,16,"f","(13,3)",440,0,"exact",0,0],[5,16,"f","(14,1,1)",105,0,"exact",0,0],[5,16,"f","(14,2)",104,0,"exact",0,0],[5,16,"f","(15,1)",15,0,"exact",0,0],[5,16,"f","(16)",1,0,"exact",0,0],[5,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,12,"lower bound",12,13],[5,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,58,"lower bound",58,66],[5,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,160,"lower bound",160,194],[5,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,278,"lower bound",278,363],[5,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,310,"lower bound",310,2548],[5,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,214,"lower bound",214,3640],[5,16,"f","(2,2,2,2,2,2,2,1,1)",3432,84,"lower bound",84,3432],[5,16,"f","(2,2,2,2,2,2,2,2)",1430,15,"lower bound",15,34],[5,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,59,"lower bound",59,67],[5,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,327,"lower bound",327,396],[5,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,852,"lower bound",852,3900],[5,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,1270,"lower bound",1270,10752],[5,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,1123,"lower bound",1123,20020],[5,16,"f","(3,2,2,2,2,2,1,1,1)",24960,565,"lower bound",565,24960],[5,16,"f","(3,2,2,2,2,2,2,1)",18018,143,"lower bound",143,18018],[5,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,576,"lower bound",576,751],[5,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,1610,"lower bound",1610,13860],[5,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,2062,"lower bound",2062,38220],[5,16,"f","(3,3,2,2,2,1,1,1,1)",65520,1392,"lower bound",1392,65510],[5,16,"f","(3,3,2,2,2,2,1,1)",68640,473,"lower bound",473,68610],[5,16,"f","(3,3,2,2,2,2,2)",30030,62,"lower bound",62,30010],[5,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,1147,"lower bound",1147,21840],[5,16,"f","(3,3,3,2,1,1,1,1,1)",69888,1403,"lower bound",1403,69848],[5,16,"f","(3,3,3,2,2,1,1,1)",112112,702,"lower bound",702,111952],[5,16,"f","(3,3,3,2,2,2,1)",91520,139,"lower bound",139,91320],[5,16,"f","(3,3,3,3,1,1,1,1)",60060,357,"lower bound",357,59925],[5,16,"f","(3,3,3,3,2,1,1)",100100,140,"lower bound",140,99725],[5,16,"f","(3,3,3,3,2,2)",51480,12,"lower bound",12,51240],[5,16,"f","(3,3,3,3,3,1)",36036,8,"lower bound",8,35815],[5,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,168,"lower bound",168,203],[5,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,877,"lower bound",877,1147],[5,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,1960,"lower bound",1960,16848],[5,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,2340,"lower bound",2340,43120],[5,16,"f","(4,2,2,2,2,1,1,1,1)",71500,1552,"lower bound",1552,71485],[5,16,"f","(4,2,2,2,2,2,1,1)",73710,544,"lower bound",544,73665],[5,16,"f","(4,2,2,2,2,2,2)",32032,82,"lower bound",82,32002],[5,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,1650,"lower bound",1650,14300],[5,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,3752,"lower bound",3752,71680],[5,16,"f","(4,3,2,2,1,1,1,1,1)",180180,3137,"lower bound",3137,180005],[5,16,"f","(4,3,2,2,2,1,1,1)",266240,1063,"lower bound",1063,265600],[5,16,"f","(4,3,2,2,2,2,1)",210210,204,"lower bound",204,209455],[5,16,"f","(4,3,3,1,1,1,1,1,1)",112112,2154,"lower bound",2154,111902],[5,16,"f","(4,3,3,2,1,1,1,1)",318500,1196,"lower bound",1196,317050],[5,16,"f","(4,3,3,2,2,1,1)",416988,224,"lower bound",224,414018],[5,16,"f","(4,3,3,2,2,2)",200200,29,"lower bound",29,198470],[5,16,"f","(4,3,3,3,1,1,1)",240240,121,"lower bound",121,237990],[5,16,"f","(4,3,3,3,2,1)",292864,19,"lower bound",19,289240],[5,16,"f","(4,3,3,3,3)",60060,2,"lower bound",2,59075],[5,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,1185,"lower bound",1185,23100],[5,16,"f","(4,4,2,1,1,1,1,1,1)",114660,2178,"lower bound",2178,114345],[5,16,"f","(4,4,2,2,1,1,1,1)",262080,882,"lower bound",882,260400],[5,16,"f","(4,4,2,2,2,1,1)",320320,127,"lower bound",127,317200],[5,16,"f","(4,4,2,2,2,2)",150150,25,"lower bound",25,148395],[5,16,"f","(4,4,3,1,1,1,1,1)",206388,1010,"lower bound",1010,204498],[5,16,"f","(4,4,3,2,1,1,1)",512512,172,"lower bound",172,505052],[5,16,"f","(4,4,3,2,2,1)",500500,16,"lower bound",16,491250],[5,16,"f","(4,4,3,3,1,1)",336336,10,"lower bound",10,328800],[5,16,"f","(4,4,3,3,2)",231660,2,"lower bound",2,225675],[5,16,"f","(4,4,4,1,1,1,1)",140140,44,"lower bound",44,137170],[5,16,"f","(4,4,4,2,1,1)",300300,12,"lower bound",12,291880],[5,16,"f","(4,4,4,2,2)",171600,166130,"upper bound",0,166130],[5,16,"f","(4,4,4,3,1)",180180,173505,"upper bound",0,173505],[5,16,"f","(4,4,4,4)",24024,22850,"upper bound",0,22850],[5,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,304,"lower bound",304,395],[5,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,1353,"lower bound",1353,11648],[5,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,2413,"lower bound",2413,45760],[5,16,"f","(5,2,2,2,1,1,1,1,1)",105600,2183,"lower bound",2183,105440],[5,16,"f","(5,2,2,2,2,1,1,1)",150150,1052,"lower bound",1052,149590],[5,16,"f","(5,2,2,2,2,2,1)",116480,260,"lower bound",260,115840],[5,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,2161,"lower bound",2161,42120],[5,16,"f","(5,3,2,1,1,1,1,1,1)",194040,3196,"lower bound",3196,193340],[5,16,"f","(5,3,2,2,1,1,1,1)",429000,1303,"lower bound",1303,425445],[5,16,"f","(5,3,2,2,2,1,1)",515970,346,"lower bound",346,509535],[5,16,"f","(5,3,2,2,2,2)",240240,54,"lower bound",54,236660],[5,16,"f","(5,3,3,1,1,1,1,1)",280280,875,"lower bound",875,276990],[5,16,"f","(5,3,3,2,1,1,1)",673920,244,"lower bound",244,661500],[5,16,"f","(5,3,3,2,2,1)",648648,25,"lower bound",25,633582],[5,16,"f","(5,3,3,3,1,1)",411840,14,"lower bound",14,400310],[5,16,"f","(5,3,3,3,2)",280280,2,"lower bound",2,271290],[5,16,"f","(5,4,1,1,1,1,1,1,1)",80640,1460,"lower bound",1460,80080],[5,16,"f","(5,4,2,1,1,1,1,1)",360360,1215,"lower bound",1215,354585],[5,16,"f","(5,4,2,2,1,1,1)",698880,244,"lower bound",244,681940],[5,16,"f","(5,4,2,2,2,1)",630630,25,"lower bound",25,611795],[5,16,"f","(5,4,3,1,1,1,1)",582400,172,"lower bound",172,564900],[5,16,"f","(5,4,3,2,1,1)",1153152,32,"lower bound",32,1108208],[5,16,"f","(5,4,3,2,2)",640640,612580,"upper bound",0,612580],[5,16,"f","(5,4,3,3,1)",549120,521460,"upper bound",0,521460],[5,16,"f","(5,4,4,1,1,1)",360360,12,"lower bound",12,342170],[5,16,"f","(5,4,4,2,1)",549120,516580,"upper bound",0,516580],[5,16,"f","(5,4,4,3)",180180,167565,"upper bound",0,167565],[5,16,"f","(5,5,1,1,1,1,1,1)",76440,367,"lower bound",367,74270],[5,16,"f","(5,5,2,1,1,1,1)",305760,121,"lower bound",121,292670],[5,16,"f","(5,5,2,2,1,1)",480480,14,"lower bound",14,454720],[5,16,"f","(5,5,2,2,2)",250250,235400,"upper bound",0,235400],[5,16,"f","(5,5,3,1,1,1)",448448,10,"lower bound",10,420742],[5,16,"f","(5,5,3,2,1)",640640,594780,"upper bound",0,594780],[5,16,"f","(5,5,3,3)",171600,157300,"upper bound",0,157300],[5,16,"f","(5,5,4,1,1)",280280,256100,"upper bound",0,256100],[5,16,"f","(5,5,4,2)",231660,209850,"upper bound",0,209850],[5,16,"f","(5,5,5,1)",60060,53010,"upper bound",0,53010],[5,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,354,"lower bound",354,517],[5,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,1232,"lower bound",1232,24024],[5,16,"f","(6,2,2,1,1,1,1,1,1)",85800,1643,"lower bound",1643,85260],[5,16,"f","(6,2,2,2,1,1,1,1)",173250,963,"lower bound",963,170835],[5,16,"f","(6,2,2,2,2,1,1)",200200,259,"lower bound",259,196105],[5,16,"f","(6,2,2,2,2,2)",91728,66,"lower bound",66,89508],[5,16,"f","(6,3,1,1,1,1,1,1,1)",82368,1467,"lower bound",1467,81528],[5,16,"f","(6,3,2,1,1,1,1,1)",337920,1096,"lower bound",1096,330240],[5,16,"f","(6,3,2,2,1,1,1)",630630,231,"lower bound",231,609350],[5,16,"f","(6,3,2,2,2,1)",559104,62,"lower bound",62,536120],[5,16,"f","(6,3,3,1,1,1,1)",429000,127,"lower bound",127,411270],[5,16,"f","(6,3,3,2,1,1)",819000,25,"lower bound",25,775700],[5,16,"f","(6,3,3,2,2)",448448,422018,"upper bound",0,422018],[5,16,"f","(6,3,3,3,1)",360360,336120,"upper bound",0,336120],[5,16,"f","(6,4,1,1,1,1,1,1)",155232,654,"lower bound",654,149772],[5,16,"f","(6,4,2,1,1,1,1)",600600,160,"lower bound",160,569205],[5,16,"f","(6,4,2,2,1,1)",928746,25,"lower bound",25,868455],[5,16,"f","(6,4,2,2,2)",480480,446100,"upper bound",0,446100],[5,16,"f","(6,4,3,1,1,1)",819000,16,"lower bound",16,758100],[5,16,"f","(6,4,3,2,1)",1153152,1054392,"upper bound",0,1054392],[5,16,"f","(6,4,3,3)",300300,270555,"upper bound",0,270555],[5,16,"f","(6,4,4,1,1)",411840,369690,"upper bound",0,369690],[5,16,"f","(6,4,4,2)",336336,298910,"upper bound",0,298910],[5,16,"f","(6,5,1,1,1,1,1)",168168,76,"lower bound",76,155078],[5,16,"f","(6,5,2,1,1,1)",559104,17,"lower bound",17,504840],[5,16,"f","(6,5,2,2,1)",630630,561750,"upper bound",0,561750],[5,16,"f","(6,5,3,1,1)",648648,570738,"upper bound",0,570738],[5,16,"f","(6,5,3,2)",500500,435800,"upper bound",0,435800],[5,16,"f","(6,5,4,1)",292864,249640,"upper bound",0,249640],[5,16,"f","(6,5,5)",36036,29550,"upper bound",0,29550],[5,16,"f","(6,6,1,1,1,1)",91728,8,"lower bound",8,78932],[5,16,"f","(6,6,2,1,1)",240240,202230,"upper bound",0,202230],[5,16,"f","(6,6,2,2)",150150,124950,"upper bound",0,124950],[5,16,"f","(6,6,3,1)",200200,164220,"upper bound",0,164220],[5,16,"f","(6,6,4)",51480,40960,"upper bound",0,40960],[5,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,250,"lower bound",250,2258],[5,16,"f","(7,2,1,1,1,1,1,1,1)",36608,624,"lower bound",624,35888],[5,16,"f","(7,2,2,1,1,1,1,1)",115830,586,"lower bound",586,111105],[5,16,"f","(7,2,2,2,1,1,1)",197120,131,"lower bound",131,185640],[5,16,"f","(7,2,2,2,2,1)",168168,51,"lower bound",51,156527],[5,16,"f","(7,3,1,1,1,1,1,1)",114400,488,"lower bound",488,108220],[5,16,"f","(7,3,2,1,1,1,1)",404250,191,"lower bound",191,372855],[5,16,"f","(7,3,2,2,1,1)",600600,16,"lower bound",16,543795],[5,16,"f","(7,3,2,2,2)",305760,5,"lower bound",5,274190],[5,16,"f","(7,3,3,1,1,1)",429000,7,"lower bound",7,383130],[5,16,"f","(7,3,3,2,1)",582400,511700,"upper bound",0,511700],[5,16,"f","(7,3,3,3)",140140,120785,"upper bound",0,120785],[5,16,"f","(7,4,1,1,1,1,1)",197120,70,"lower bound",70,176960],[5,16,"f","(7,4,2,1,1,1)",630630,7,"lower bound",7,551460],[5,16,"f","(7,4,2,2,1)",698880,601020,"upper bound",0,601020],[5,16,"f","(7,4,3,1,1)",673920,570900,"upper bound",0,570900],[5,16,"f","(7,4,3,2)",512512,428708,"upper bound",0,428708],[5,16,"f","(7,4,4,1)",240240,195860,"upper bound",0,195860],[5,16,"f","(7,5,1,1,1,1)",200200,8,"lower bound",8,167510],[5,16,"f","(7,5,2,1,1)",515970,421050,"upper bound",0,421050],[5,16,"f","(7,5,2,2)",320320,258020,"upper bound",0,258020],[5,16,"f","(7,5,3,1)",416988,330462,"upper bound",0,330462],[5,16,"f","(7,5,4)",100100,76650,"upper bound",0,76650],[5,16,"f","(7,6,1,1,1)",116480,89040,"upper bound",0,89040],[5,16,"f","(7,6,2,1)",210210,157220,"upper bound",0,157220],[5,16,"f","(7,6,3)",91520,66760,"upper bound",0,66760],[5,16,"f","(7,7,1,1)",32032,21868,"upper bound",0,21868],[5,16,"f","(7,7,2)",30030,20160,"upper bound",0,20160],[5,16,"f","(8,1,1,1,1,1,1,1,1)",6435,93,"lower bound",93,488],[5,16,"f","(8,2,1,1,1,1,1,1)",42042,150,"lower bound",150,37737],[5,16,"f","(8,2,2,1,1,1,1)",114400,90,"lower bound",90,98580],[5,16,"f","(8,2,2,2,1,1)",155232,7,"lower bound",7,130088],[5,16,"f","(8,2,2,2,2)",76440,5,"lower bound",5,63140],[5,16,"f","(8,3,1,1,1,1,1)",115830,61,"lower bound",61,97335],[5,16,"f","(8,3,2,1,1,1)",337920,6,"lower bound",6,273680],[5,16,"f","(8,3,2,2,1)",360360,285320,"upper bound",0,285320],[5,16,"f","(8,3,3,1,1)",280280,217420,"upper bound",0,217420],[5,16,"f","(8,3,3,2)",206388,157542,"upper bound",0,157542],[5,16,"f","(8,4,1,1,1,1)",173250,1,"lower bound",1,134785],[5,16,"f","(8,4,2,1,1)",429000,323280,"upper bound",0,323280],[5,16,"f","(8,4,2,2)",262080,194320,"upper bound",0,194320],[5,16,"f","(8,4,3,1)",318500,231350,"upper bound",0,231350],[5,16,"f","(8,4,4)",60060,41790,"upper bound",0,41790],[5,16,"f","(8,5,1,1,1)",150150,106855,"upper bound",0,106855],[5,16,"f","(8,5,2,1)",266240,184640,"upper bound",0,184640],[5,16,"f","(8,5,3)",112112,75488,"upper bound",0,75488],[5,16,"f","(8,6,1,1)",73710,47355,"upper bound",0,47355],[5,16,"f","(8,6,2)",68640,43280,"upper bound",0,43280],[5,16,"f","(8,7,1)",18018,0,"exact",0,0],[5,16,"f","(8,8)",1430,0,"exact",0,0],[5,16,"f","(9,1,1,1,1,1,1,1)",6435,13,"lower bound",13,114],[5,16,"f","(9,2,1,1,1,1,1)",36608,11,"lower bound",11,26088],[5,16,"f","(9,2,2,1,1,1)",82368,3,"lower bound",3,55692],[5,16,"f","(9,2,2,2,1)",80640,52920,"upper bound",0,52920],[5,16,"f","(9,3,1,1,1,1)",85800,1,"lower bound",1,56400],[5,16,"f","(9,3,2,1,1)",194040,122220,"upper bound",0,122220],[5,16,"f","(9,3,2,2)",114660,70770,"upper bound",0,70770],[5,16,"f","(9,3,3,1)",112112,67368,"upper bound",0,67368],[5,16,"f","(9,4,1,1,1)",105600,63720,"upper bound",0,63720],[5,16,"f","(9,4,2,1)",180180,105210,"upper bound",0,105210],[5,16,"f","(9,4,3)",69888,39312,"upper bound",0,39312],[5,16,"f","(9,5,1,1)",71500,39390,"upper bound",0,39390],[5,16,"f","(9,5,2)",65520,35280,"upper bound",0,35280],[5,16,"f","(9,6,1)",24960,12480,"upper bound",0,12480],[5,16,"f","(9,7)",3432,0,"exact",0,0],[5,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,17,"f","(10,1,1,1,1,1,1,1)",11440,13,"lower bound",13,203],[5,17,"f","(10,2,1,1,1,1,1)",65637,11,"lower bound",11,49698],[5,17,"f","(10,2,2,1,1,1)",148512,3,"lower bound",3,107592],[5,17,"f","(10,2,2,2,1)",145860,103050,"upper bound",0,103050],[5,17,"f","(10,3,1,1,1,1)",155584,1,"lower bound",1,110040],[5,17,"f","(10,3,2,1,1)",353600,241320,"upper bound",0,241320],[5,17,"f","(10,3,2,2)",209440,140520,"upper bound",0,140520],[5,17,"f","(10,3,3,1)",205632,134928,"upper bound",0,134928],[5,17,"f","(10,4,1,1,1)",194480,127980,"upper bound",0,127980],[5,17,"f","(10,4,2,1)",333200,213360,"upper bound",0,213360],[5,17,"f","(10,4,3)",129948,80682,"upper bound",0,80682],[5,17,"f","(10,5,1,1)",134640,82080,"upper bound",0,82080],[5,17,"f","(10,5,2)",123760,74040,"upper bound",0,74040],[5,17,"f","(10,6,1)",48620,27330,"upper bound",0,27330],[5,17,"f","(10,7)",7072,0,"exact",0,0],[5,17,"f","(11,1,1,1,1,1,1)",8008,345,"upper bound",0,345],[5,17,"f","(11,2,1,1,1,1)",38675,18810,"upper bound",0,18810],[5,17,"f","(11,2,2,1,1)",68068,31878,"upper bound",0,31878],[5,17,"f","(11,2,2,2)",37400,17160,"upper bound",0,17160],[5,17,"f","(11,3,1,1,1)",74256,34320,"upper bound",0,34320],[5,17,"f","(11,3,2,1)",116688,52272,"upper bound",0,52272],[5,17,"f","(11,3,3)",35700,15510,"upper bound",0,15510],[5,17,"f","(11,4,1,1)",70720,31020,"upper bound",0,31020],[5,17,"f","(11,4,2)",62832,26928,"upper bound",0,26928],[5,17,"f","(11,5,1)",33320,13860,"upper bound",0,13860],[5,17,"f","(11,6)",6188,0,"exact",0,0],[5,17,"f","(12,1,1,1,1,1)",4368,0,"exact",0,0],[5,17,"f","(12,2,1,1,1)",17017,0,"exact",0,0],[5,17,"f","(12,2,2,1)",20944,3960,"upper bound",0,3960],[5,17,"f","(12,3,1,1)",24752,4752,"upper bound",0,4752],[5,17,"f","(12,3,2)",20400,3960,"upper bound",0,3960],[5,17,"f","(12,4,1)",15912,0,"exact",0,0],[5,17,"f","(12,5)",3808,0,"exact",0,0],[5,17,"f","(13,1,1,1,1)",1820,0,"exact",0,0],[5,17,"f","(13,2,1,1)",5355,0,"exact",0,0],[5,17,"f","(13,2,2)",3536,0,"exact",0,0],[5,17,"f","(13,3,1)",5236,0,"exact",0,0],[5,17,"f","(13,4)",1700,0,"exact",0,0],[5,17,"f","(14,1,1,1)",560,0,"exact",0,0],[5,17,"f","(14,2,1)",1105,0,"exact",0,0],[5,17,"f","(14,3)",544,0,"exact",0,0],[5,17,"f","(15,1,1)",120,0,"exact",0,0],[5,17,"f","(15,2)",119,0,"exact",0,0],[5,17,"f","(16,1)",16,0,"exact",0,0],[5,17,"f","(17)",1,0,"exact",0,0],[5,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,13,"lower bound",13,15],[5,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,70,"lower bound",70,88],[5,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,218,"lower bound",218,304],[5,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,438,"lower bound",438,1700],[5,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,588,"lower bound",588,3808],[5,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,524,"lower bound",524,6188],[5,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,298,"lower bound",298,7072],[5,17,"f","(2,2,2,2,2,2,2,2,1)",4862,99,"lower bound",99,4862],[5,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,71,"lower bound",71,89],[5,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,444,"lower bound",444,1105],[5,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,1339,"lower bound",1339,5236],[5,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,2400,"lower bound",2400,15912],[5,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,2703,"lower bound",2703,33320],[5,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,1902,"lower bound",1902,48620],[5,17,"f","(3,2,2,2,2,2,2,1,1)",46410,792,"lower bound",792,46410],[5,17,"f","(3,2,2,2,2,2,2,2)",19448,158,"lower bound",158,19448],[5,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,903,"lower bound",903,3536],[5,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,3038,"lower bound",3038,20400],[5,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,4942,"lower bound",4942,62832],[5,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,4577,"lower bound",4577,123760],[5,17,"f","(3,3,2,2,2,2,1,1,1)",159120,2430,"lower bound",2430,159120],[5,17,"f","(3,3,2,2,2,2,2,1)",116688,678,"lower bound",678,116688],[5,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,2757,"lower bound",2757,35700],[5,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,4612,"lower bound",4612,129948],[5,17,"f","(3,3,3,2,2,1,1,1,1)",247520,3497,"lower bound",3497,247510],[5,17,"f","(3,3,3,2,2,2,1,1)",272272,1314,"lower bound",1314,272242],[5,17,"f","(3,3,3,2,2,2,2)",121550,201,"lower bound",201,121530],[5,17,"f","(3,3,3,3,1,1,1,1,1)",129948,1760,"lower bound",1760,129933],[5,17,"f","(3,3,3,3,2,1,1,1)",272272,1199,"lower bound",1199,272192],[5,17,"f","(3,3,3,3,2,2,1)",243100,291,"lower bound",291,242985],[5,17,"f","(3,3,3,3,3,1,1)",136136,148,"lower bound",148,136040],[5,17,"f","(3,3,3,3,3,2)",87516,20,"lower bound",20,87435],[5,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,227,"lower bound",227,315],[5,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,1372,"lower bound",1372,5355],[5,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,3689,"lower bound",3689,24752],[5,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,5570,"lower bound",5570,70720],[5,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,5015,"lower bound",5015,134640],[5,17,"f","(4,2,2,2,2,2,1,1,1)",170170,2661,"lower bound",2661,170170],[5,17,"f","(4,2,2,2,2,2,2,1)",123760,769,"lower bound",769,123760],[5,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,3103,"lower bound",3103,20944],[5,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,8972,"lower bound",8972,116688],[5,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,11291,"lower bound",11291,333200],[5,17,"f","(4,3,2,2,2,1,1,1,1)",583440,7144,"lower bound",7144,583400],[5,17,"f","(4,3,2,2,2,2,1,1)",618800,2284,"lower bound",2284,618680],[5,17,"f","(4,3,2,2,2,2,2)",272272,348,"lower bound",348,272192],[5,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,7053,"lower bound",7053,205632],[5,17,"f","(4,3,3,2,1,1,1,1,1)",680680,7890,"lower bound",7890,680505],[5,17,"f","(4,3,3,2,2,1,1,1)",1113840,3185,"lower bound",3185,1113120],[5,17,"f","(4,3,3,2,2,2,1)",918918,596,"lower bound",596,918003],[5,17,"f","(4,3,3,3,1,1,1,1)",618800,1674,"lower bound",1674,618160],[5,17,"f","(4,3,3,3,2,1,1)",1050192,504,"lower bound",504,1048368],[5,17,"f","(4,3,3,3,2,2)",544544,60,"lower bound",60,543360],[5,17,"f","(4,3,3,3,3,1)",388960,29,"lower bound",29,387840],[5,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,2835,"lower bound",2835,37400],[5,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,7115,"lower bound",7115,209440],[5,17,"f","(4,4,2,2,1,1,1,1,1)",556920,6197,"lower bound",6197,556710],[5,17,"f","(4,4,2,2,2,1,1,1)",848640,2072,"lower bound",2072,847840],[5,17,"f","(4,4,2,2,2,2,1)",680680,356,"lower bound",356,679710],[5,17,"f","(4,4,3,1,1,1,1,1,1)",433160,5342,"lower bound",5342,432845],[5,17,"f","(4,4,3,2,1,1,1,1)",1299480,3260,"lower bound",3260,1297100],[5,17,"f","(4,4,3,2,2,1,1)",1750320,539,"lower bound",539,1745220],[5,17,"f","(4,4,3,2,2,2)",850850,70,"lower bound",70,847815],[5,17,"f","(4,4,3,3,1,1,1)",1089088,303,"lower bound",303,1084842],[5,17,"f","(4,4,3,3,2,1)",1361360,47,"lower bound",47,1354260],[5,17,"f","(4,4,3,3,3)",291720,4,"lower bound",4,289670],[5,17,"f","(4,4,4,1,1,1,1,1)",346528,1054,"lower bound",1054,345408],[5,17,"f","(4,4,4,2,1,1,1)",952952,228,"lower bound",228,947862],[5,17,"f","(4,4,4,2,2,1)",972400,28,"lower bound",28,965660],[5,17,"f","(4,4,4,3,1,1)",816816,22,"lower bound",22,809820],[5,17,"f","(4,4,4,3,2)",583440,2,"lower bound",2,577580],[5,17,"f","(4,4,4,4,1)",204204,201475,"upper bound",0,201475],[5,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,472,"lower bound",472,738],[5,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,2534,"lower bound",2534,17017],[5,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,5726,"lower bound",5726,74256],[5,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,6936,"lower bound",6936,194480],[5,17,"f","(5,2,2,2,2,1,1,1,1)",327250,4787,"lower bound",4787,327215],[5,17,"f","(5,2,2,2,2,2,1,1)",340340,1856,"lower bound",1856,340235],[5,17,"f","(5,2,2,2,2,2,2)",148512,342,"lower bound",342,148442],[5,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,5164,"lower bound",5164,68068],[5,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,11522,"lower bound",11522,353600],[5,17,"f","(5,3,2,2,1,1,1,1,1)",908820,9819,"lower bound",9819,908370],[5,17,"f","(5,3,2,2,2,1,1,1)",1361360,3764,"lower bound",3764,1359680],[5,17,"f","(5,3,2,2,2,2,1)",1082900,864,"lower bound",864,1080890],[5,17,"f","(5,3,3,1,1,1,1,1,1)",586432,6225,"lower bound",6225,585872],[5,17,"f","(5,3,3,2,1,1,1,1)",1701700,3618,"lower bound",3618,1697665],[5,17,"f","(5,3,3,2,2,1,1)",2255526,839,"lower bound",839,2247075],[5,17,"f","(5,3,3,2,2,2)",1089088,108,"lower bound",108,1084112],[5,17,"f","(5,3,3,3,1,1,1)",1326000,379,"lower bound",379,1319400],[5,17,"f","(5,3,3,3,2,1)",1633632,60,"lower bound",60,1622812],[5,17,"f","(5,3,3,3,3)",340340,4,"lower bound",4,337325],[5,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,4806,"lower bound",4806,145860],[5,17,"f","(5,4,2,1,1,1,1,1,1)",749700,8049,"lower bound",8049,748650],[5,17,"f","(5,4,2,2,1,1,1,1)",1750320,3644,"lower bound",3644,1744470],[5,17,"f","(5,4,2,2,2,1,1)",2165800,742,"lower bound",742,2154670],[5,17,"f","(5,4,2,2,2,2)",1021020,104,"lower bound",104,1014690],[5,17,"f","(5,4,3,1,1,1,1,1)",1429428,3272,"lower bound",3272,1422533],[5,17,"f","(5,4,3,2,1,1,1)",3620864,864,"lower bound",864,3592640],[5,17,"f","(5,4,3,2,2,1)",3573570,98,"lower bound",98,3537895],[5,17,"f","(5,4,3,3,1,1)",2450448,56,"lower bound",56,2420538],[5,17,"f","(5,4,3,3,2)",1701700,4,"lower bound",4,1677605],[5,17,"f","(5,4,4,1,1,1,1)",1082900,228,"lower bound",228,1070440],[5,17,"f","(5,4,4,2,1,1)",2362932,56,"lower bound",56,2326518],[5,17,"f","(5,4,4,2,2)",1361360,1337370,"upper bound",0,1337370],[5,17,"f","(5,4,4,3,1)",1458600,1428510,"upper bound",0,1428510],[5,17,"f","(5,4,4,4)",204204,198575,"upper bound",0,198575],[5,17,"f","(5,5,1,1,1,1,1,1,1)",157080,1827,"lower bound",1827,156590],[5,17,"f","(5,5,2,1,1,1,1,1)",742560,1703,"lower bound",1703,736960],[5,17,"f","(5,5,2,2,1,1,1)",1485120,379,"lower bound",379,1467770],[5,17,"f","(5,5,2,2,2,1)",1361360,39,"lower bound",39,1341500],[5,17,"f","(5,5,3,1,1,1,1)",1336608,303,"lower bound",303,1316952],[5,17,"f","(5,5,3,2,1,1)",2722720,56,"lower bound",56,2669890],[5,17,"f","(5,5,3,2,2)",1531530,1497840,"upper bound",0,1497840],[5,17,"f","(5,5,3,3,1)",1361360,1326580,"upper bound",0,1326580],[5,17,"f","(5,5,4,1,1,1)",1089088,22,"lower bound",22,1061172],[5,17,"f","(5,5,4,2,1)",1701700,1649870,"upper bound",0,1649870],[5,17,"f","(5,5,4,3)",583440,562180,"upper bound",0,562180],[5,17,"f","(5,5,5,1,1)",340340,326190,"upper bound",0,326190],[5,17,"f","(5,5,5,2)",291720,278340,"upper bound",0,278340],[5,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,658,"lower bound",658,1225],[5,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,2939,"lower bound",2939,38675],[5,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,5288,"lower bound",5288,155584],[5,17,"f","(6,2,2,2,1,1,1,1,1)",364650,4789,"lower bound",4789,364335],[5,17,"f","(6,2,2,2,2,1,1,1)",523600,2274,"lower bound",2274,522480],[5,17,"f","(6,2,2,2,2,2,1)",408408,585,"lower bound",585,407113],[5,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,4860,"lower bound",4860,148512],[5,17,"f","(6,3,2,1,1,1,1,1,1)",700128,7402,"lower bound",7402,698688],[5,17,"f","(6,3,2,2,1,1,1,1)",1570800,3593,"lower bound",3593,1563240],[5,17,"f","(6,3,2,2,2,1,1)",1905904,898,"lower bound",898,1891960],[5,17,"f","(6,3,2,2,2,2)",891072,182,"lower bound",182,883248],[5,17,"f","(6,3,3,1,1,1,1,1)",1047200,2098,"lower bound",2098,1040000],[5,17,"f","(6,3,3,2,1,1,1)",2552550,627,"lower bound",627,2524620],[5,17,"f","(6,3,3,2,2,1)",2475200,112,"lower bound",112,2440820],[5,17,"f","(6,3,3,3,1,1)",1591200,39,"lower bound",39,1564380],[5,17,"f","(6,3,3,3,2)",1089088,2,"lower bound",2,1067948],[5,17,"f","(6,4,1,1,1,1,1,1,1)",318240,3581,"lower bound",3581,316980],[5,17,"f","(6,4,2,1,1,1,1,1)",1454112,3125,"lower bound",3125,1440432],[5,17,"f","(6,4,2,2,1,1,1)",2858856,660,"lower bound",660,2817570],[5,17,"f","(6,4,2,2,2,1)",2598960,112,"lower bound",112,2552340],[5,17,"f","(6,4,3,1,1,1,1)",2431000,475,"lower bound",475,2387075],[5,17,"f","(6,4,3,2,1,1)",4873050,98,"lower bound",98,4757655],[5,17,"f","(6,4,3,2,2)",2722720,2649890,"upper bound",0,2649890],[5,17,"f","(6,4,3,3,1)",2362932,2289807,"upper bound",0,2289807],[5,17,"f","(6,4,4,1,1,1)",1591200,28,"lower bound",28,1541820],[5,17,"f","(6,4,4,2,1)",2450448,2360532,"upper bound",0,2360532],[5,17,"f","(6,4,4,3)",816816,781140,"upper bound",0,781140],[5,17,"f","(6,5,1,1,1,1,1,1)",399840,1097,"lower bound",1097,393120],[5,17,"f","(6,5,2,1,1,1,1)",1633632,374,"lower bound",374,1591328],[5,17,"f","(6,5,2,2,1,1)",2598960,56,"lower bound",56,2513700],[5,17,"f","(6,5,2,2,2)",1361360,1311660,"upper bound",0,1311660],[5,17,"f","(6,5,3,1,1,1)",2475200,43,"lower bound",43,2380820],[5,17,"f","(6,5,3,2,1)",3573570,3414460,"upper bound",0,3414460],[5,17,"f","(6,5,3,3)",972400,921580,"upper bound",0,921580],[5,17,"f","(6,5,4,1,1)",1633632,1544948,"upper bound",0,1544948],[5,17,"f","(6,5,4,2)",1361360,1280340,"upper bound",0,1280340],[5,17,"f","(6,5,5,1)",388960,359680,"upper bound",0,359680],[5,17,"f","(6,6,1,1,1,1,1)",259896,84,"lower bound",84,248570],[5,17,"f","(6,6,2,1,1,1)",891072,25,"lower bound",25,841632],[5,17,"f","(6,6,2,2,1)",1021020,956550,"upper bound",0,956550],[5,17,"f","(6,6,3,1,1)",1089088,1012708,"upper bound",0,1012708],[5,17,"f","(6,6,3,2)",850850,786170,"upper bound",0,786170],[5,17,"f","(6,6,4,1)",544544,496600,"upper bound",0,496600],[5,17,"f","(6,6,5)",87516,77910,"upper bound",0,77910],[5,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,604,"lower bound",604,5997],[5,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,2106,"lower bound",2106,65637],[5,17,"f","(7,2,2,1,1,1,1,1,1)",238238,2853,"lower bound",2853,237293],[5,17,"f","(7,2,2,2,1,1,1,1)",486200,1680,"lower bound",1680,481860],[5,17,"f","(7,2,2,2,2,1,1)",565488,441,"lower bound",441,558012],[5,17,"f","(7,2,2,2,2,2)",259896,117,"lower bound",117,255815],[5,17,"f","(7,3,1,1,1,1,1,1,1)",233376,2579,"lower bound",2579,231876],[5,17,"f","(7,3,2,1,1,1,1,1)",972400,2361,"lower bound",2361,958120],[5,17,"f","(7,3,2,2,1,1,1)",1832600,569,"lower bound",569,1792140],[5,17,"f","(7,3,2,2,2,1)",1633632,134,"lower bound",134,1589392],[5,17,"f","(7,3,3,1,1,1,1)",1262250,325,"lower bound",325,1227855],[5,17,"f","(7,3,3,2,1,1)",2431000,48,"lower bound",48,2345525],[5,17,"f","(7,3,3,2,2)",1336608,5,"lower bound",5,1283988],[5,17,"f","(7,3,3,3,1)",1082900,1034005,"upper bound",0,1034005],[5,17,"f","(7,4,1,1,1,1,1,1)",466752,1212,"lower bound",1212,456072],[5,17,"f","(7,4,2,1,1,1,1)",1832600,428,"lower bound",428,1769180],[5,17,"f","(7,4,2,2,1,1)",2858856,48,"lower bound",48,2734830],[5,17,"f","(7,4,2,2,2)",1485120,5,"lower bound",5,1413790],[5,17,"f","(7,4,3,1,1,1)",2552550,30,"lower bound",30,2424830],[5,17,"f","(7,4,3,2,1)",3620864,3410880,"upper bound",0,3410880],[5,17,"f","(7,4,3,3)",952952,888608,"upper bound",0,888608],[5,17,"f","(7,4,4,1,1)",1326000,1233250,"upper bound",0,1233250],[5,17,"f","(7,4,4,2)",1089088,1005958,"upper bound",0,1005958],[5,17,"f","(7,5,1,1,1,1,1)",565488,154,"lower bound",154,536028],[5,17,"f","(7,5,2,1,1,1)",1905904,32,"lower bound",32,1780520],[5,17,"f","(7,5,2,2,1)",2165800,2004380,"upper bound",0,2004380],[5,17,"f","(7,5,3,1,1)",2255526,2069550,"upper bound",0,2069550],[5,17,"f","(7,5,3,2)",1750320,1594350,"upper bound",0,1594350],[5,17,"f","(7,5,4,1)",1050192,942432,"upper bound",0,942432],[5,17,"f","(7,5,5)",136136,118880,"upper bound",0,118880],[5,17,"f","(7,6,1,1,1,1)",408408,16,"lower bound",16,369242],[5,17,"f","(7,6,2,1,1)",1082900,964040,"upper bound",0,964040],[5,17,"f","(7,6,2,2)",680680,601090,"upper bound",0,601090],[5,17,"f","(7,6,3,1)",918918,803262,"upper bound",0,803262],[5,17,"f","(7,6,4)",243100,207970,"upper bound",0,207970],[5,17,"f","(7,7,1,1,1)",148512,125468,"upper bound",0,125468],[5,17,"f","(7,7,2,1)",272272,226688,"upper bound",0,226688],[5,17,"f","(7,7,3)",121550,99520,"upper bound",0,99520],[5,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,343,"lower bound",343,4760],[5,17,"f","(8,2,1,1,1,1,1,1,1)",85085,867,"lower bound",867,83930],[5,17,"f","(8,2,2,1,1,1,1,1)",272272,826,"lower bound",826,264432],[5,17,"f","(8,2,2,2,1,1,1)",466752,228,"lower bound",228,447348],[5,17,"f","(8,2,2,2,2,1)",399840,63,"lower bound",63,379960],[5,17,"f","(8,3,1,1,1,1,1,1)",272272,699,"lower bound",699,261832],[5,17,"f","(8,3,2,1,1,1,1)",972400,348,"lower bound",348,918000],[5,17,"f","(8,3,2,2,1,1)",1454112,29,"lower bound",29,1354248],[5,17,"f","(8,3,2,2,2)",742560,10,"lower bound",10,686680],[5,17,"f","(8,3,3,1,1,1)",1047200,13,"lower bound",13,965440],[5,17,"f","(8,3,3,2,1)",1429428,1302042,"upper bound",0,1302042],[5,17,"f","(8,3,3,3)",346528,311192,"upper bound",0,311192],[5,17,"f","(8,4,1,1,1,1,1)",486200,132,"lower bound",132,450080],[5,17,"f","(8,4,2,1,1,1)",1570800,14,"lower bound",14,1426080],[5,17,"f","(8,4,2,2,1)",1750320,1569480,"upper bound",0,1569480],[5,17,"f","(8,4,3,1,1)",1701700,1508850,"upper bound",0,1508850],[5,17,"f","(8,4,3,2)",1299480,1141420,"upper bound",0,1141420],[5,17,"f","(8,4,4,1)",618800,533200,"upper bound",0,533200],[5,17,"f","(8,5,1,1,1,1)",523600,9,"lower bound",9,460200],[5,17,"f","(8,5,2,1,1)",1361360,1174320,"upper bound",0,1174320],[5,17,"f","(8,5,2,2)",848640,724960,"upper bound",0,724960],[5,17,"f","(8,5,3,1)",1113840,939960,"upper bound",0,939960],[5,17,"f","(8,5,4)",272272,223928,"upper bound",0,223928],[5,17,"f","(8,6,1,1,1)",340340,279730,"upper bound",0,279730],[5,17,"f","(8,6,2,1)",618800,500320,"upper bound",0,500320],[5,17,"f","(8,6,3)",272272,216048,"upper bound",0,216048],[5,17,"f","(8,7,1,1)",123760,93520,"upper bound",0,93520],[5,17,"f","(8,7,2)",116688,87072,"upper bound",0,87072],[5,17,"f","(8,8,1)",19448,0,"exact",0,0],[5,17,"f","(9,1,1,1,1,1,1,1,1)",12870,106,"lower bound",106,821],[5,17,"f","(9,2,1,1,1,1,1,1)",85085,174,"lower bound",174,78375],[5,17,"f","(9,2,2,1,1,1,1)",233376,104,"lower bound",104,208200],[5,17,"f","(9,2,2,2,1,1)",318240,10,"lower bound",10,277740],[5,17,"f","(9,2,2,2,2)",157080,5,"lower bound",5,135540],[5,17,"f","(9,3,1,1,1,1,1)",238238,73,"lower bound",73,208383],[5,17,"f","(9,3,2,1,1,1)",700128,10,"lower bound",10,594792],[5,17,"f","(9,3,2,2,1)",749700,625590,"upper bound",0,625590],[5,17,"f","(9,3,3,1,1)",586432,481488,"upper bound",0,481488],[5,17,"f","(9,3,3,2)",433160,351120,"upper bound",0,351120],[5,17,"f","(9,4,1,1,1,1)",364650,2,"lower bound",2,300105],[5,17,"f","(9,4,2,1,1)",908820,729270,"upper bound",0,729270],[5,17,"f","(9,4,2,2)",556920,441180,"upper bound",0,441180],[5,17,"f","(9,4,3,1)",680680,530520,"upper bound",0,530520],[5,17,"f","(9,4,4)",129948,97902,"upper bound",0,97902],[5,17,"f","(9,5,1,1,1)",327250,250965,"upper bound",0,250965],[5,17,"f","(9,5,2,1)",583440,438360,"upper bound",0,438360],[5,17,"f","(9,5,3)",247520,181680,"upper bound",0,181680],[5,17,"f","(9,6,1,1)",170170,120345,"upper bound",0,120345],[5,17,"f","(9,6,2)",159120,110880,"upper bound",0,110880],[5,17,"f","(9,7,1)",46410,29925,"upper bound",0,29925],[5,17,"f","(9,8)",4862,0,"exact",0,0],[5,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,18,"f","(10,1,1,1,1,1,1,1,1)",24310,119,"lower bound",119,23595],[5,18,"f","(10,2,1,1,1,1,1,1)",162162,198,"lower bound",198,152163],[5,18,"f","(10,2,2,1,1,1,1)",447525,118,"lower bound",118,409365],[5,18,"f","(10,2,2,2,1,1)",612612,13,"lower bound",13,550617],[5,18,"f","(10,2,2,2,2)",302940,5,"lower bound",5,269820],[5,18,"f","(10,3,1,1,1,1,1)",459459,85,"lower bound",85,413721],[5,18,"f","(10,3,2,1,1,1)",1357824,14,"lower bound",14,1194384],[5,18,"f","(10,3,2,2,1)",1458600,1264680,"upper bound",0,1264680],[5,18,"f","(10,3,3,1,1)",1145664,980496,"upper bound",0,980496],[5,18,"f","(10,3,3,2)",848232,718488,"upper bound",0,718488],[5,18,"f","(10,4,1,1,1,1)",714714,3,"lower bound",3,612885],[5,18,"f","(10,4,2,1,1)",1790100,1504080,"upper bound",0,1504080],[5,18,"f","(10,4,2,2)",1099560,914340,"upper bound",0,914340],[5,18,"f","(10,4,3,1)",1349460,1107540,"upper bound",0,1107540],[5,18,"f","(10,4,4)",259896,207564,"upper bound",0,207564],[5,18,"f","(10,5,1,1,1)",656370,531765,"upper bound",0,531765],[5,18,"f","(10,5,2,1)",1175040,936360,"upper bound",0,936360],[5,18,"f","(10,5,3)",501228,391977,"upper bound",0,391977],[5,18,"f","(10,6,1,1)",353430,268245,"upper bound",0,268245],[5,18,"f","(10,6,2)",331500,248625,"upper bound",0,248625],[5,18,"f","(10,7,1)",102102,71943,"upper bound",0,71943],[5,18,"f","(10,8)",11934,0,"exact",0,0],[5,18,"f","(11,1,1,1,1,1,1,1)",19448,13,"lower bound",13,358],[5,18,"f","(11,2,1,1,1,1,1)",112320,11,"lower bound",11,89100],[5,18,"f","(11,2,2,1,1,1)",255255,3,"lower bound",3,195030],[5,18,"f","(11,2,2,2,1)",251328,187968,"upper bound",0,187968],[5,18,"f","(11,3,1,1,1,1)",268515,1,"lower bound",1,200970],[5,18,"f","(11,3,2,1,1)",612612,444840,"upper bound",0,444840],[5,18,"f","(11,3,2,2)",363528,260172,"upper bound",0,260172],[5,18,"f","(11,3,3,1)",358020,251460,"upper bound",0,251460],[5,18,"f","(11,4,1,1,1)",339456,238920,"upper bound",0,238920],[5,18,"f","(11,4,2,1)",583440,401280,"upper bound",0,401280],[5,18,"f","(11,4,3)",228480,153120,"upper bound",0,153120],[5,18,"f","(11,5,1,1)",238680,157410,"upper bound",0,157410],[5,18,"f","(11,5,2)",219912,142758,"upper bound",0,142758],[5,18,"f","(11,6,1)",88128,54252,"upper bound",0,54252],[5,18,"f","(11,7)",13260,0,"exact",0,0],[5,18,"f","(12,1,1,1,1,1,1)",12376,2776,"upper bound",0,2776],[5,18,"f","(12,2,1,1,1,1)",60060,31845,"upper bound",0,31845],[5,18,"f","(12,2,2,1,1)",106029,54351,"upper bound",0,54351],[5,18,"f","(12,2,2,2)",58344,29370,"upper bound",0,29370],[5,18,"f","(12,3,1,1,1)",116025,58740,"upper bound",0,58740],[5,18,"f","(12,3,2,1)",182784,90024,"upper bound",0,90024],[5,18,"f","(12,3,3)",56100,26895,"upper bound",0,26895],[5,18,"f","(12,4,1,1)",111384,53790,"upper bound",0,53790],[5,18,"f","(12,4,2)",99144,46926,"upper bound",0,46926],[5,18,"f","(12,5,1)",53040,24420,"upper bound",0,24420],[5,18,"f","(12,6)",9996,0,"exact",0,0],[5,18,"f","(13,1,1,1,1,1)",6188,0,"exact",0,0],[5,18,"f","(13,2,1,1,1)",24192,5148,"upper bound",0,5148],[5,18,"f","(13,2,2,1)",29835,6435,"upper bound",0,6435],[5,18,"f","(13,3,1,1)",35343,7722,"upper bound",0,7722],[5,18,"f","(13,3,2)",29172,6435,"upper bound",0,6435],[5,18,"f","(13,4,1)",22848,5148,"upper bound",0,5148],[5,18,"f","(13,5)",5508,0,"exact",0,0],[5,18,"f","(14,1,1,1,1)",2380,0,"exact",0,0],[5,18,"f","(14,2,1,1)",7020,0,"exact",0,0],[5,18,"f","(14,2,2)",4641,0,"exact",0,0],[5,18,"f","(14,3,1)",6885,0,"exact",0,0],[5,18,"f","(14,4)",2244,0,"exact",0,0],[5,18,"f","(15,1,1,1)",680,0,"exact",0,0],[5,18,"f","(15,2,1)",1344,0,"exact",0,0],[5,18,"f","(15,3)",663,0,"exact",0,0],[5,18,"f","(16,1,1)",136,0,"exact",0,0],[5,18,"f","(16,2)",135,0,"exact",0,0],[5,18,"f","(17,1)",17,0,"exact",0,0],[5,18,"f","(18)",1,0,"exact",0,0],[5,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,14,"lower bound",14,17],[5,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,83,"lower bound",83,112],[5,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,288,"lower bound",288,663],[5,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,656,"lower bound",656,2244],[5,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,1026,"lower bound",1026,5508],[5,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,1112,"lower bound",1112,9996],[5,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,822,"lower bound",822,13260],[5,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,397,"lower bound",397,11934],[5,18,"f","(2,2,2,2,2,2,2,2,2)",4862,99,"lower bound",99,4862],[5,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,84,"lower bound",84,113],[5,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,585,"lower bound",585,1344],[5,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,2001,"lower bound",2001,6885],[5,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,4177,"lower bound",4177,22848],[5,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,5691,"lower bound",5691,53040],[5,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,5129,"lower bound",5129,88128],[5,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,2992,"lower bound",2992,102102],[5,18,"f","(3,2,2,2,2,2,2,2,1)",70720,1049,"lower bound",1049,70720],[5,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,1347,"lower bound",1347,4641],[5,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,5280,"lower bound",5280,29172],[5,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,10380,"lower bound",10380,99144],[5,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,12222,"lower bound",12222,219912],[5,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,8909,"lower bound",8909,331500],[5,18,"f","(3,3,2,2,2,2,2,1,1)",322218,3900,"lower bound",3900,322218],[5,18,"f","(3,3,2,2,2,2,2,2)",136136,836,"lower bound",836,136136],[5,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,5795,"lower bound",5795,56100],[5,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,12311,"lower bound",12311,228480],[5,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,12686,"lower bound",12686,501228],[5,18,"f","(3,3,3,2,2,2,1,1,1)",678912,7241,"lower bound",7241,678912],[5,18,"f","(3,3,3,2,2,2,2,1)",510510,2193,"lower bound",2193,510510],[5,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,6372,"lower bound",6372,259896],[5,18,"f","(3,3,3,3,2,1,1,1,1)",649740,6456,"lower bound",6456,649735],[5,18,"f","(3,3,3,3,2,2,1,1)",787644,2804,"lower bound",2804,787629],[5,18,"f","(3,3,3,3,2,2,2)",364650,492,"lower bound",492,364640],[5,18,"f","(3,3,3,3,3,1,1,1)",408408,1347,"lower bound",1347,408392],[5,18,"f","(3,3,3,3,3,2,1)",466752,459,"lower bound",459,466720],[5,18,"f","(3,3,3,3,3,3)",87516,20,"lower bound",20,87505],[5,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,298,"lower bound",298,458],[5,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,2043,"lower bound",2043,7020],[5,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,6400,"lower bound",6400,35343],[5,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,11659,"lower bound",11659,111384],[5,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,13288,"lower bound",13288,238680],[5,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,9578,"lower bound",9578,353430],[5,18,"f","(4,2,2,2,2,2,2,1,1)",340340,4222,"lower bound",4222,340340],[5,18,"f","(4,2,2,2,2,2,2,2)",143208,927,"lower bound",927,143208],[5,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,5378,"lower bound",5378,29835],[5,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,18802,"lower bound",18802,182784],[5,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,30775,"lower bound",30775,583440],[5,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,28027,"lower bound",28027,1175040],[5,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,14519,"lower bound",14519,1531530],[5,18,"f","(4,3,2,2,2,2,2,1)",1131520,4079,"lower bound",4079,1131520],[5,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,18782,"lower bound",18782,358020],[5,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,30846,"lower bound",30846,1349460],[5,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,21716,"lower bound",21716,2625435],[5,18,"f","(4,3,3,2,2,2,1,1)",2923830,7379,"lower bound",7379,2923695],[5,18,"f","(4,3,3,2,2,2,2)",1312740,1145,"lower bound",1145,1312650],[5,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,11324,"lower bound",11324,1429358],[5,18,"f","(4,3,3,3,2,1,1,1)",3055104,6562,"lower bound",6562,3054720],[5,18,"f","(4,3,3,3,2,2,1)",2756754,1451,"lower bound",1451,2756196],[5,18,"f","(4,3,3,3,3,1,1)",1575288,681,"lower bound",681,1574808],[5,18,"f","(4,3,3,3,3,2)",1021020,109,"lower bound",109,1020610],[5,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,5938,"lower bound",5938,58344],[5,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,18922,"lower bound",18922,363528],[5,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,24603,"lower bound",24603,1099560],[5,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,15413,"lower bound",15413,1988950],[5,18,"f","(4,4,2,2,2,2,1,1)",2148120,4712,"lower bound",4712,2147970],[5,18,"f","(4,4,2,2,2,2,2)",952952,704,"lower bound",704,952852],[5,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,19510,"lower bound",19510,848232],[5,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,22689,"lower bound",22689,2969960],[5,18,"f","(4,4,3,2,2,1,1,1)",5012280,9056,"lower bound",9056,5011080],[5,18,"f","(4,4,3,2,2,2,1)",4200768,1561,"lower bound",1561,4199208],[5,18,"f","(4,4,3,3,1,1,1,1)",3007368,5237,"lower bound",5237,3006192],[5,18,"f","(4,4,3,3,2,1,1)",5250960,1393,"lower bound",1393,5247480],[5,18,"f","(4,4,3,3,2,2)",2756754,177,"lower bound",177,2754450],[5,18,"f","(4,4,3,3,3,1)",2042040,80,"lower bound",80,2039760],[5,18,"f","(4,4,4,1,1,1,1,1,1)",779688,6396,"lower bound",6396,779513],[5,18,"f","(4,4,4,2,1,1,1,1)",2598960,4542,"lower bound",4542,2597420],[5,18,"f","(4,4,4,2,2,1,1)",3675672,795,"lower bound",795,3672132],[5,18,"f","(4,4,4,2,2,2)",1823250,98,"lower bound",98,1821075],[5,18,"f","(4,4,4,3,1,1,1)",2858856,553,"lower bound",553,2855084],[5,18,"f","(4,4,4,3,2,1)",3734016,99,"lower bound",99,3727320],[5,18,"f","(4,4,4,3,3)",875160,6,"lower bound",6,873000],[5,18,"f","(4,4,4,4,1,1)",1021020,22,"lower bound",22,1018315],[5,18,"f","(4,4,4,4,2)",787644,2,"lower bound",2,785145],[5,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,699,"lower bound",699,2380],[5,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,4378,"lower bound",4378,24192],[5,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,11949,"lower bound",11949,116025],[5,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,18232,"lower bound",18232,339456],[5,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,16738,"lower bound",16738,656370],[5,18,"f","(5,2,2,2,2,2,1,1,1)",837760,9304,"lower bound",9304,837760],[5,18,"f","(5,2,2,2,2,2,2,1)",612612,2967,"lower bound",2967,612612],[5,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,10801,"lower bound",10801,106029],[5,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,31384,"lower bound",31384,612612],[5,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,39568,"lower bound",39568,1790100],[5,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,25514,"lower bound",25514,3180765],[5,18,"f","(5,3,2,2,2,2,1,1)",3403400,8768,"lower bound",8768,3403085],[5,18,"f","(5,3,2,2,2,2,2)",1503684,1554,"lower bound",1554,1503474],[5,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,24800,"lower bound",24800,1145664],[5,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,27552,"lower bound",27552,3877152],[5,18,"f","(5,3,3,2,2,1,1,1)",6432426,11406,"lower bound",11406,6430410],[5,18,"f","(5,3,3,2,2,2,1)",5346432,2407,"lower bound",2407,5343840],[5,18,"f","(5,3,3,3,1,1,1,1)",3646500,5671,"lower bound",5671,3644650],[5,18,"f","(5,3,3,3,2,1,1)",6265350,1782,"lower bound",1782,6259980],[5,18,"f","(5,3,3,3,2,2)",3267264,228,"lower bound",228,3263744],[5,18,"f","(5,3,3,3,3,1)",2362932,93,"lower bound",93,2359542],[5,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,12805,"lower bound",12805,251328],[5,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,31492,"lower bound",31492,1458600],[5,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,27709,"lower bound",27709,3965040],[5,18,"f","(5,4,2,2,2,1,1,1)",6126120,10222,"lower bound",10222,6123320],[5,18,"f","(5,4,2,2,2,2,1)",4950400,2066,"lower bound",2066,4946960],[5,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,22888,"lower bound",22888,3197600],[5,18,"f","(5,4,3,2,1,1,1,1)",9801792,14658,"lower bound",14658,9792968],[5,18,"f","(5,4,3,2,2,1,1)",13366080,3082,"lower bound",3082,13346760],[5,18,"f","(5,4,3,2,2,2)",6534528,380,"lower bound",380,6522912],[5,18,"f","(5,4,3,3,1,1,1)",8486400,1602,"lower bound",1602,8469820],[5,18,"f","(5,4,3,3,2,1)",10720710,265,"lower bound",265,10692510],[5,18,"f","(5,4,3,3,3)",2333760,12,"lower bound",12,2325420],[5,18,"f","(5,4,4,1,1,1,1,1)",2858856,4554,"lower bound",4554,2854271],[5,18,"f","(5,4,4,2,1,1,1)",8019648,1376,"lower bound",1376,7998060],[5,18,"f","(5,4,4,2,2,1)",8270262,182,"lower bound",182,8241153],[5,18,"f","(5,4,4,3,1,1)",7088796,134,"lower bound",134,7057701],[5,18,"f","(5,4,4,3,2)",5105100,6,"lower bound",6,5078715],[5,18,"f","(5,4,4,4,1)",1867008,1854020,"upper bound",0,1854020],[5,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,6633,"lower bound",6633,302940],[5,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,11579,"lower bound",11579,1648360],[5,18,"f","(5,5,2,2,1,1,1,1)",3978000,5726,"lower bound",5726,3972200],[5,18,"f","(5,5,2,2,2,1,1)",5012280,1160,"lower bound",1160,5000880],[5,18,"f","(5,5,2,2,2,2)",2382380,143,"lower bound",143,2375800],[5,18,"f","(5,5,3,1,1,1,1,1)",3508596,5278,"lower bound",5278,3501120],[5,18,"f","(5,5,3,2,1,1,1)",9165312,1602,"lower bound",1602,9133092],[5,18,"f","(5,5,3,2,2,1)",9189180,193,"lower bound",193,9147360],[5,18,"f","(5,5,3,3,1,1)",6534528,112,"lower bound",112,6497768],[5,18,"f","(5,5,3,3,2)",4594590,4,"lower bound",4,4564380],[5,18,"f","(5,5,4,1,1,1,1)",3508596,553,"lower bound",553,3490074],[5,18,"f","(5,5,4,2,1,1)",7876440,134,"lower bound",134,7819875],[5,18,"f","(5,5,4,2,2)",4594590,4556580,"upper bound",0,4556580],[5,18,"f","(5,5,4,3,1)",5105100,5055190,"upper bound",0,5055190],[5,18,"f","(5,5,4,4)",787644,777180,"upper bound",0,777180],[5,18,"f","(5,5,5,1,1,1)",1429428,22,"lower bound",22,1413727],[5,18,"f","(5,5,5,2,1)",2333760,2302820,"upper bound",0,2302820],[5,18,"f","(5,5,5,3)",875160,861050,"upper bound",0,861050],[5,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,1130,"lower bound",1130,6188],[5,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,6131,"lower bound",6131,60060],[5,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,13953,"lower bound",13953,268515],[5,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,17013,"lower bound",17013,714714],[5,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,11850,"lower bound",11850,1215430],[5,18,"f","(6,2,2,2,2,2,1,1)",1272348,4715,"lower bound",4715,1272138],[5,18,"f","(6,2,2,2,2,2,2)",556920,927,"lower bound",927,556780],[5,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,12963,"lower bound",12963,255255],[5,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,29072,"lower bound",29072,1357824],[5,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,25603,"lower bound",25603,3543453],[5,18,"f","(6,3,2,2,2,1,1,1)",5361664,10529,"lower bound",10529,5358080],[5,18,"f","(6,3,2,2,2,2,1)",4288284,2529,"lower bound",2529,4283951],[5,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,15725,"lower bound",15725,2332560],[5,18,"f","(6,3,3,2,1,1,1,1)",6872250,9936,"lower bound",9936,6863325],[5,18,"f","(6,3,3,2,2,1,1)",9189180,2476,"lower bound",2476,9170175],[5,18,"f","(6,3,3,2,2,2)",4455360,402,"lower bound",402,4444080],[5,18,"f","(6,3,3,3,1,1,1)",5469750,1045,"lower bound",1045,5454600],[5,18,"f","(6,3,3,3,2,1)",6789120,213,"lower bound",213,6763960],[5,18,"f","(6,3,3,3,3)",1429428,6,"lower bound",6,1422293],[5,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,13247,"lower bound",13247,612612],[5,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,22157,"lower bound",22157,3219750],[5,18,"f","(6,4,2,2,1,1,1,1)",7634088,11022,"lower bound",11022,7620102],[5,18,"f","(6,4,2,2,2,1,1)",9529520,2412,"lower bound",2412,9502430],[5,18,"f","(6,4,2,2,2,2)",4511052,398,"lower bound",398,4495518],[5,18,"f","(6,4,3,1,1,1,1,1)",6361740,8970,"lower bound",8970,6344790],[5,18,"f","(6,4,3,2,1,1,1)",16336320,2724,"lower bound",2724,16265060],[5,18,"f","(6,4,3,2,2,1)",16243500,420,"lower bound",420,16152150],[5,18,"f","(6,4,3,3,1,1)",11277630,193,"lower bound",193,11199555],[5,18,"f","(6,4,3,3,2)",7876440,6,"lower bound",6,7812900],[5,18,"f","(6,4,4,1,1,1,1)",5105100,731,"lower bound",731,5071885],[5,18,"f","(6,4,4,2,1,1)",11277630,182,"lower bound",182,11178405],[5,18,"f","(6,4,4,2,2)",6534528,6468492,"upper bound",0,6468492],[5,18,"f","(6,4,4,3,1)",7088796,7004439,"upper bound",0,7004439],[5,18,"f","(6,4,4,4)",1021020,1004615,"upper bound",0,1004615],[5,18,"f","(6,5,1,1,1,1,1,1,1)",875160,6505,"lower bound",6505,873690],[5,18,"f","(6,5,2,1,1,1,1,1)",4230144,6299,"lower bound",6299,4212480],[5,18,"f","(6,5,2,2,1,1,1)",8576568,1469,"lower bound",1469,8520288],[5,18,"f","(6,5,2,2,2,1)",7920640,207,"lower bound",207,7855240],[5,18,"f","(6,5,3,1,1,1,1)",7876440,1195,"lower bound",1195,7810800],[5,18,"f","(6,5,3,2,1,1)",16243500,253,"lower bound",253,16063075],[5,18,"f","(6,5,3,2,2)",9189180,9072900,"upper bound",0,9072900],[5,18,"f","(6,5,3,3,1)",8270262,8147982,"upper bound",0,8147982],[5,18,"f","(6,5,4,1,1,1)",6789120,93,"lower bound",93,6688360],[5,18,"f","(6,5,4,2,1)",10720710,10530310,"upper bound",0,10530310],[5,18,"f","(6,5,4,3)",3734016,3654080,"upper bound",0,3654080],[5,18,"f","(6,5,5,1,1)",2362932,2304858,"upper bound",0,2304858],[5,18,"f","(6,5,5,2)",2042040,1986430,"upper bound",0,1986430],[5,18,"f","(6,6,1,1,1,1,1,1)",659736,1181,"lower bound",1181,654150],[5,18,"f","(6,6,2,1,1,1,1)",2784600,483,"lower bound",483,2747280],[5,18,"f","(6,6,2,2,1,1)",4511052,81,"lower bound",81,4433337],[5,18,"f","(6,6,2,2,2)",2382380,2336390,"upper bound",0,2336390],[5,18,"f","(6,6,3,1,1,1)",4455360,68,"lower bound",68,4365160],[5,18,"f","(6,6,3,2,1)",6534528,6378508,"upper bound",0,6378508],[5,18,"f","(6,6,3,3)",1823250,1771600,"upper bound",0,1771600],[5,18,"f","(6,6,4,1,1)",3267264,3170716,"upper bound",0,3170716],[5,18,"f","(6,6,4,2)",2756754,2666910,"upper bound",0,2666910],[5,18,"f","(6,6,5,1)",1021020,978140,"upper bound",0,978140],[5,18,"f","(6,6,6)",87516,82405,"upper bound",0,82405],[5,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,1262,"lower bound",1262,12376],[5,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,5649,"lower bound",5649,112320],[5,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,10247,"lower bound",10247,459459],[5,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,9322,"lower bound",9322,1088528],[5,18,"f","(7,2,2,2,2,1,1,1)",1575288,4395,"lower bound",4395,1573272],[5,18,"f","(7,2,2,2,2,2,1)",1233792,1143,"lower bound",1143,1231440],[5,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,9545,"lower bound",9545,447525],[5,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,15195,"lower bound",15195,2141517],[5,18,"f","(7,3,2,2,1,1,1,1)",4862000,8203,"lower bound",8203,4847860],[5,18,"f","(7,3,2,2,2,1,1)",5937624,2042,"lower bound",2042,5911164],[5,18,"f","(7,3,2,2,2,2)",2784600,433,"lower bound",433,2769655],[5,18,"f","(7,3,3,1,1,1,1,1)",3281850,4784,"lower bound",4784,3268125],[5,18,"f","(7,3,3,2,1,1,1)",8078400,1569,"lower bound",1569,8024040],[5,18,"f","(7,3,3,2,2,1)",7876440,299,"lower bound",299,7808775],[5,18,"f","(7,3,3,3,1,1)",5105100,87,"lower bound",87,5051585],[5,18,"f","(7,3,3,3,2)",3508596,7,"lower bound",7,3466071],[5,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,7372,"lower bound",7372,1015968],[5,18,"f","(7,4,2,1,1,1,1,1)",4725864,7126,"lower bound",7126,4698774],[5,18,"f","(7,4,2,2,1,1,1)",9382912,1705,"lower bound",1705,9299360],[5,18,"f","(7,4,2,2,2,1)",8576568,299,"lower bound",299,8481102],[5,18,"f","(7,4,3,1,1,1,1)",8078400,1258,"lower bound",1258,7987740],[5,18,"f","(7,4,3,2,1,1)",16336320,224,"lower bound",224,16094040],[5,18,"f","(7,4,3,2,2)",9165312,10,"lower bound",10,9011148],[5,18,"f","(7,4,3,3,1)",8019648,7862820,"upper bound",0,7862820],[5,18,"f","(7,4,4,1,1,1)",5469750,58,"lower bound",58,5362450],[5,18,"f","(7,4,4,2,1)",8486400,8288420,"upper bound",0,8288420],[5,18,"f","(7,4,4,3)",2858856,2778986,"upper bound",0,2778986],[5,18,"f","(7,5,1,1,1,1,1,1)",1432080,2463,"lower bound",2463,1417320],[5,18,"f","(7,5,2,1,1,1,1)",5937624,988,"lower bound",988,5841696],[5,18,"f","(7,5,2,2,1,1)",9529520,136,"lower bound",136,9332680],[5,18,"f","(7,5,2,2,2)",5012280,5,"lower bound",5,4896570],[5,18,"f","(7,5,3,1,1,1)",9189180,105,"lower bound",105,8967045],[5,18,"f","(7,5,3,2,1)",13366080,12986460,"upper bound",0,12986460],[5,18,"f","(7,5,3,3)",3675672,3552318,"upper bound",0,3552318],[5,18,"f","(7,5,4,1,1)",6265350,6046380,"upper bound",0,6046380],[5,18,"f","(7,5,4,2)",5250960,5049030,"upper bound",0,5049030],[5,18,"f","(7,5,5,1)",1575288,1497792,"upper bound",0,1497792],[5,18,"f","(7,6,1,1,1,1,1)",1233792,254,"lower bound",254,1199880],[5,18,"f","(7,6,2,1,1,1)",4288284,73,"lower bound",73,4136279],[5,18,"f","(7,6,2,2,1)",4950400,4749360,"upper bound",0,4749360],[5,18,"f","(7,6,3,1,1)",5346432,5103780,"upper bound",0,5103780],[5,18,"f","(7,6,3,2)",4200768,3993252,"upper bound",0,3993252],[5,18,"f","(7,6,4,1)",2756754,2597634,"upper bound",0,2597634],[5,18,"f","(7,6,5)",466752,432720,"upper bound",0,432720],[5,18,"f","(7,7,1,1,1,1)",556920,16,"lower bound",16,524910],[5,18,"f","(7,7,2,1,1)",1503684,1403556,"upper bound",0,1403556],[5,18,"f","(7,7,2,2)",952952,884968,"upper bound",0,884968],[5,18,"f","(7,7,3,1)",1312740,1211220,"upper bound",0,1211220],[5,18,"f","(7,7,4)",364650,331840,"upper bound",0,331840],[5,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,947,"lower bound",947,19448],[5,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,3316,"lower bound",3316,162162],[5,18,"f","(8,2,2,1,1,1,1,1,1)",595595,4546,"lower bound",4546,594055],[5,18,"f","(8,2,2,2,1,1,1,1)",1225224,2734,"lower bound",2734,1218000],[5,18,"f","(8,2,2,2,2,1,1)",1432080,732,"lower bound",732,1419480],[5,18,"f","(8,2,2,2,2,2)",659736,180,"lower bound",180,652820],[5,18,"f","(8,3,1,1,1,1,1,1,1)",590733,4145,"lower bound",4145,588258],[5,18,"f","(8,3,2,1,1,1,1,1)",2489344,4234,"lower bound",4234,2465024],[5,18,"f","(8,3,2,2,1,1,1)",4725864,1174,"lower bound",1174,4655736],[5,18,"f","(8,3,2,2,2,1)",4230144,236,"lower bound",236,4152720],[5,18,"f","(8,3,3,1,1,1,1)",3281850,686,"lower bound",686,3221370],[5,18,"f","(8,3,3,2,1,1)",6361740,90,"lower bound",90,6209385],[5,18,"f","(8,3,3,2,2)",3508596,15,"lower bound",15,3414180],[5,18,"f","(8,3,3,3,1)",2858856,2770264,"upper bound",0,2770264],[5,18,"f","(8,4,1,1,1,1,1,1)",1225224,2043,"lower bound",2043,1206474],[5,18,"f","(8,4,2,1,1,1,1)",4862000,922,"lower bound",922,4747840],[5,18,"f","(8,4,2,2,1,1)",7634088,91,"lower bound",91,7407648],[5,18,"f","(8,4,2,2,2)",3978000,15,"lower bound",15,3846900],[5,18,"f","(8,4,3,1,1,1)",6872250,57,"lower bound",57,6635825],[5,18,"f","(8,4,3,2,1)",9801792,9408952,"upper bound",0,9408952],[5,18,"f","(8,4,3,3)",2598960,2477020,"upper bound",0,2477020],[5,18,"f","(8,4,4,1,1)",3646500,3468900,"upper bound",0,3468900],[5,18,"f","(8,4,4,2)",3007368,2847048,"upper bound",0,2847048],[5,18,"f","(8,5,1,1,1,1,1)",1575288,295,"lower bound",295,1519128],[5,18,"f","(8,5,2,1,1,1)",5361664,55,"lower bound",55,5117760],[5,18,"f","(8,5,2,2,1)",6126120,5808680,"upper bound",0,5808680],[5,18,"f","(8,5,3,1,1)",6432426,6061860,"upper bound",0,6061860],[5,18,"f","(8,5,3,2)",5012280,4699170,"upper bound",0,4699170],[5,18,"f","(8,5,4,1)",3055104,2833800,"upper bound",0,2833800],[5,18,"f","(8,5,5)",408408,371478,"upper bound",0,371478],[5,18,"f","(8,6,1,1,1,1)",1272348,25,"lower bound",25,1187037],[5,18,"f","(8,6,2,1,1)",3403400,3140260,"upper bound",0,3140260],[5,18,"f","(8,6,2,2)",2148120,1970580,"upper bound",0,1970580],[5,18,"f","(8,6,3,1)",2923830,2662590,"upper bound",0,2662590],[5,18,"f","(8,6,4)",787644,706191,"upper bound",0,706191],[5,18,"f","(8,7,1,1,1)",612612,544758,"upper bound",0,544758],[5,18,"f","(8,7,2,1)",1131520,995600,"upper bound",0,995600],[5,18,"f","(8,7,3)",510510,443765,"upper bound",0,443765],[5,18,"f","(8,8,1,1)",143208,119232,"upper bound",0,119232],[5,18,"f","(8,8,2)",136136,112364,"upper bound",0,112364],[5,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,449,"lower bound",449,24310],[5,18,"f","(9,2,1,1,1,1,1,1,1)",183040,1147,"lower bound",1147,181280],[5,18,"f","(9,2,2,1,1,1,1,1)",590733,1104,"lower bound",1104,578457],[5,18,"f","(9,2,2,2,1,1,1)",1018368,342,"lower bound",342,987528],[5,18,"f","(9,2,2,2,2,1)",875160,78,"lower bound",78,843300],[5,18,"f","(9,3,1,1,1,1,1,1)",595595,946,"lower bound",946,579040],[5,18,"f","(9,3,2,1,1,1,1)",2144142,535,"lower bound",535,2056110],[5,18,"f","(9,3,2,2,1,1)",3222180,49,"lower bound",49,3058695],[5,18,"f","(9,3,2,2,2)",1649340,15,"lower bound",15,1557360],[5,18,"f","(9,3,3,1,1,1)",2333760,23,"lower bound",23,2198520],[5,18,"f","(9,3,3,2,1)",3198720,2986200,"upper bound",0,2986200],[5,18,"f","(9,3,3,3)",779688,720132,"upper bound",0,720132],[5,18,"f","(9,4,1,1,1,1,1)",1089088,207,"lower bound",207,1029308],[5,18,"f","(9,4,2,1,1,1)",3544398,26,"lower bound",26,3301047],[5,18,"f","(9,4,2,2,1)",3965760,3659040,"upper bound",0,3659040],[5,18,"f","(9,4,3,1,1)",3877632,3547368,"upper bound",0,3547368],[5,18,"f","(9,4,3,2)",2970240,2697960,"upper bound",0,2697960],[5,18,"f","(9,4,4,1)",1429428,1279572,"upper bound",0,1279572],[5,18,"f","(9,5,1,1,1,1)",1215500,11,"lower bound",11,1104895],[5,18,"f","(9,5,2,1,1)",3180870,2850480,"upper bound",0,2850480],[5,18,"f","(9,5,2,2)",1989000,1769250,"upper bound",0,1769250],[5,18,"f","(9,5,3,1)",2625480,2313720,"upper bound",0,2313720],[5,18,"f","(9,5,4)",649740,561435,"upper bound",0,561435],[5,18,"f","(9,6,1,1,1)",837760,723860,"upper bound",0,723860],[5,18,"f","(9,6,2,1)",1531530,1306770,"upper bound",0,1306770],[5,18,"f","(9,6,3)",678912,571008,"upper bound",0,571008],[5,18,"f","(9,7,1,1)",340340,275890,"upper bound",0,275890],[5,18,"f","(9,7,2)",322218,258687,"upper bound",0,258687],[5,18,"f","(9,8,1)",70720,53000,"upper bound",0,53000],[5,18,"f","(9,9)",4862,0,"exact",0,0],[5,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,19,"f","(10,9)",16796,1392,"upper bound",0,1392],[5,19,"f","(13,1,1,1,1,1,1)",18564,11011,"upper bound",0,11011],[5,19,"f","(13,6)",15504,5904,"upper bound",0,5904],[5,19,"f","(14,1,1,1,1,1)",8568,2002,"upper bound",0,2002],[5,19,"f","(14,5)",7752,2002,"upper bound",0,2002],[5,19,"f","(15,1,1,1,1)",3060,0,"exact",0,0],[5,19,"f","(15,2,1,1)",9044,0,"exact",0,0],[5,19,"f","(15,2,2)",5985,0,"exact",0,0],[5,19,"f","(15,3,1)",8892,0,"exact",0,0],[5,19,"f","(15,4)",2907,0,"exact",0,0],[5,19,"f","(16,1,1,1)",816,0,"exact",0,0],[5,19,"f","(16,2,1)",1615,0,"exact",0,0],[5,19,"f","(16,3)",798,0,"exact",0,0],[5,19,"f","(17,1,1)",153,0,"exact",0,0],[5,19,"f","(17,2)",152,0,"exact",0,0],[5,19,"f","(18,1)",18,0,"exact",0,0],[5,19,"f","(19)",1,0,"exact",0,0],[5,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,15,"lower bound",15,18],[5,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,98,"lower bound",98,138],[5,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,20,"f","(10,10)",16796,13596,"upper bound",0,13596],[5,20,"f","(15,1,1,1,1,1)",11628,3003,"upper bound",0,3003],[5,20,"f","(15,5)",10659,3003,"upper bound",0,3003],[5,20,"f","(16,1,1,1,1)",3876,0,"exact",0,0],[5,20,"f","(16,2,1,1)",11475,0,"exact",0,0],[5,20,"f","(16,2,2)",7600,0,"exact",0,0],[5,20,"f","(16,3,1)",11305,0,"exact",0,0],[5,20,"f","(16,4)",3705,0,"exact",0,0],[5,20,"f","(17,1,1,1)",969,0,"exact",0,0],[5,20,"f","(17,2,1)",1920,0,"exact",0,0],[5,20,"f","(17,3)",950,0,"exact",0,0],[5,20,"f","(18,1,1)",171,0,"exact",0,0],[5,20,"f","(18,2)",170,0,"exact",0,0],[5,20,"f","(19,1)",19,0,"exact",0,0],[5,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,16,"lower bound",16,19],[5,20,"f","(20)",1,0,"exact",0,0],[5,21,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,21,"f","(16,1,1,1,1,1)",15504,4368,"upper bound",0,4368],[5,21,"f","(16,5)",14364,4368,"upper bound",0,4368],[5,21,"f","(17,1,1,1,1)",4845,0,"exact",0,0],[5,21,"f","(17,2,1,1)",14364,0,"exact",0,0],[5,21,"f","(17,2,2)",9520,0,"exact",0,0],[5,21,"f","(17,3,1)",14175,0,"exact",0,0],[5,21,"f","(17,4)",4655,0,"exact",0,0],[5,21,"f","(18,1,1,1)",1140,0,"exact",0,0],[5,21,"f","(18,2,1)",2261,0,"exact",0,0],[5,21,"f","(18,3)",1120,0,"exact",0,0],[5,21,"f","(19,1,1)",190,0,"exact",0,0],[5,21,"f","(19,2)",189,0,"exact",0,0],[5,21,"f","(20,1)",20,0,"exact",0,0],[5,21,"f","(21)",1,0,"exact",0,0],[5,22,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,22,"f","(17,5)",19019,6188,"upper 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",0,0],[5,13,"p","(8,2,2,1)",3640,0,"exact",0,0],[5,13,"p","(8,3,1,1)",4212,0,"exact",0,0],[5,13,"p","(8,3,2)",3432,0,"exact",0,0],[5,13,"p","(8,4,1)",2574,0,"exact",0,0],[5,13,"p","(8,5)",572,0,"exact",0,0],[5,13,"p","(9,1,1,1,1)",495,0,"exact",0,0],[5,13,"p","(9,2,1,1)",1430,0,"exact",0,0],[5,13,"p","(9,2,2)",936,0,"exact",0,0],[5,13,"p","(9,3,1)",1365,0,"exact",0,0],[5,13,"p","(9,4)",429,0,"exact",0,0],[5,13,"p","(10,1,1,1)",220,0,"exact",0,0],[5,13,"p","(10,2,1)",429,0,"exact",0,0],[5,13,"p","(10,3)",208,0,"exact",0,0],[5,13,"p","(11,1,1)",66,0,"exact",0,0],[5,13,"p","(11,2)",65,0,"exact",0,0],[5,13,"p","(12,1)",12,0,"exact",0,0],[5,13,"p","(13)",1,0,"exact",0,0],[5,14,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,14,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,4,"exact",4,4],[5,14,"p","(2,2,1,1,1,1,1,1,1,1,1,1)",77,16,"exact",16,16],[5,14,"p","(2,2,2,1,1,1,1,1,1,1,1)",273,30,"exact",30,30],[5,14,"p","(2,2,2,2,1,1,1,1,1,1)",637,34,"exact",34,34],[5,14,"p","(2,2,2,2,2,1,1,1,1)",1001,19,"exact",19,19],[5,14,"p","(2,2,2,2,2,2,1,1)",1001,4,"exact",4,4],[5,14,"p","(2,2,2,2,2,2,2)",429,0,"exact",0,0],[5,14,"p","(3,1,1,1,1,1,1,1,1,1,1,1)",78,16,"exact",16,16],[5,14,"p","(3,2,1,1,1,1,1,1,1,1,1)",560,60,"exact",60,60],[5,14,"p","(3,2,2,1,1,1,1,1,1,1)",2002,100,"exact",100,100],[5,14,"p","(3,2,2,2,1,1,1,1,1)",4368,80,"exact",80,80],[5,14,"p","(3,2,2,2,2,1,1,1)",6006,27,"exact",27,27],[5,14,"p","(3,3,1,1,1,1,1,1,1,1)",1365,68,"exact",68,68],[5,14,"p","(3,3,2,1,1,1,1,1,1)",5733,99,"lower 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bound",50,53],[5,14,"p","(5,3,3,1,1,1)",48048,3,"lower bound",3,18170],[5,14,"p","(5,3,3,2,1)",64064,24020,"upper bound",0,24020],[5,14,"p","(5,3,3,3)",15015,0,"exact",0,0],[5,14,"p","(5,4,2,1,1,1)",63063,3,"lower bound",3,23596],[5,14,"p","(5,4,2,2,1)",68640,25454,"upper bound",0,25454],[5,14,"p","(5,4,3,1,1)",64064,23552,"upper bound",0,23552],[5,14,"p","(5,4,3,2)",48048,17550,"upper bound",0,17550],[5,14,"p","(5,4,4,1)",21021,7566,"upper bound",0,7566],[5,14,"p","(5,5,1,1,1,1)",14014,1,"exact",1,1],[5,14,"p","(5,5,2,1,1)",35035,12631,"upper bound",0,12631],[5,14,"p","(5,5,2,2)",21450,7680,"upper bound",0,7680],[5,14,"p","(5,5,3,1)",27027,9585,"upper bound",0,9585],[5,14,"p","(5,5,4)",6006,0,"exact",0,0],[5,14,"p","(6,1,1,1,1,1,1,1,1)",1287,19,"exact",19,19],[5,14,"p","(6,3,2,1,1,1)",59904,2,"lower bound",2,21736],[5,14,"p","(6,3,2,2,1)",63063,22674,"upper bound",0,22674],[5,14,"p","(6,3,3,1,1)",48048,17124,"upper bound",0,17124],[5,14,"p","(6,3,3,2)",35035,12400,"upper bound",0,12400],[5,14,"p","(6,4,1,1,1,1)",28665,10234,"upper bound",0,10234],[5,14,"p","(6,4,2,1,1)",69498,24462,"upper bound",0,24462],[5,14,"p","(6,4,2,2)",42042,14692,"upper bound",0,14692],[5,14,"p","(6,4,3,1)",50050,17320,"upper bound",0,17320],[5,14,"p","(6,4,4)",9009,0,"exact",0,0],[5,14,"p","(6,5,1,1,1)",21021,7194,"upper bound",0,7194],[5,14,"p","(6,5,2,1)",36608,12368,"upper bound",0,12368],[5,14,"p","(6,5,3)",15015,0,"exact",0,0],[5,14,"p","(6,6,1,1)",7007,0,"exact",0,0],[5,14,"p","(6,6,2)",6435,0,"exact",0,0],[5,14,"p","(7,2,2,1,1,1)",21021,7224,"upper bound",0,7224],[5,14,"p","(7,2,2,2,1)",20384,6930,"upper bound",0,6930],[5,14,"p","(7,3,1,1,1,1)",21450,7280,"upper bound",0,7280],[5,14,"p","(7,3,2,1,1)",47775,15960,"upper bound",0,15960],[5,14,"p","(7,3,2,2)",28028,9286,"upper bound",0,9286],[5,14,"p","(7,3,3,1)",27027,8856,"upper bound",0,8856],[5,14,"p","(7,4,1,1,1)",24960,8148,"upper bound",0,8148],[5,14,"p","(7,4,2,1)",42042,13530,"upper bound",0,13530],[5,14,"p","(7,4,3)",16016,0,"exact",0,0],[5,14,"p","(7,5,1,1)",15444,0,"exact",0,0],[5,14,"p","(7,5,2)",14014,0,"exact",0,0],[5,14,"p","(7,6,1)",4576,0,"exact",0,0],[5,14,"p","(7,7)",429,0,"exact",0,0],[5,14,"p","(8,1,1,1,1,1,1)",1716,0,"exact",0,0],[5,14,"p","(8,2,1,1,1,1)",8085,0,"exact",0,0],[5,14,"p","(8,2,2,1,1)",14014,0,"exact",0,0],[5,14,"p","(8,2,2,2)",7644,0,"exact",0,0],[5,14,"p","(8,3,1,1,1)",15015,0,"exact",0,0],[5,14,"p","(8,3,2,1)",23296,6608,"upper bound",0,6608],[5,14,"p","(8,3,3)",7007,0,"exact",0,0],[5,14,"p","(8,4,1,1)",13650,0,"exact",0,0],[5,14,"p","(8,4,2)",12012,0,"exact",0,0],[5,14,"p","(8,5,1)",6006,0,"exact",0,0],[5,14,"p","(8,6)",1001,0,"exact",0,0],[5,14,"p","(9,1,1,1,1,1)",1287,0,"exact",0,0],[5,14,"p","(9,2,1,1,1)",4928,0,"exact",0,0],[5,14,"p","(9,2,2,1)",6006,0,"exact",0,0],[5,14,"p","(9,3,1,1)",7007,0,"exact",0,0],[5,14,"p","(9,3,2)",5733,0,"exact",0,0],[5,14,"p","(9,4,1)",4368,0,"exact",0,0],[5,14,"p","(9,5)",1001,0,"exact",0,0],[5,14,"p","(10,1,1,1,1)",715,0,"exact",0,0],[5,14,"p","(10,2,1,1)",2079,0,"exact",0,0],[5,14,"p","(10,2,2)",1365,0,"exact",0,0],[5,14,"p","(10,3,1)",2002,0,"exact",0,0],[5,14,"p","(10,4)",637,0,"exact",0,0],[5,14,"p","(11,1,1,1)",286,0,"exact",0,0],[5,14,"p","(11,2,1)",560,0,"exact",0,0],[5,14,"p","(11,3)",273,0,"exact",0,0],[5,14,"p","(12,1,1)",78,0,"exact",0,0],[5,14,"p","(12,2)",77,0,"exact",0,0],[5,14,"p","(13,1)",13,0,"exact",0,0],[5,14,"p","(14)",1,0,"exact",0,0],[5,14,"p","(3,2,2,2,2,2,1)",4576,2,"lower bound",2,12],[5,14,"p","(3,3,2,2,2,1,1)",14014,8,"exact",8,8],[5,14,"p","(3,3,2,2,2,2)",6435,0,"exact",0,0],[5,14,"p","(3,3,3,2,1,1,1)",16016,10,"exact",10,10],[5,14,"p","(3,3,3,2,2,1)",15015,0,"exact",0,0],[5,14,"p","(3,3,3,3,1,1)",9009,1,"lower bound",1,2],[5,14,"p","(3,3,3,3,2)",6006,0,"exact",0,0],[5,14,"p","(4,2,2,2,2,1,1)",15444,14,"exact",14,14],[5,14,"p","(4,2,2,2,2,2)",7007,0,"exact",0,0],[5,14,"p","(4,3,2,2,1,1,1)",42042,30,"lower bound",30,16814],[5,14,"p","(4,3,2,2,2,1)",36608,2,"lower bound",2,14528],[5,14,"p","(4,3,3,1,1,1,1)",27027,16,"lower bound",16,10722],[5,14,"p","(4,3,3,2,1,1)",50050,3,"lower bound",3,19640],[5,14,"p","(4,3,3,2,2)",27027,10548,"upper bound",0,10548],[5,14,"p","(4,3,3,3,1)",21021,8148,"upper bound",0,8148],[5,14,"p","(4,4,1,1,1,1,1,1)",7644,29,"exact",29,29],[5,14,"p","(4,4,2,1,1,1,1)",28028,16,"lower bound",16,10997],[5,14,"p","(4,4,2,2,1,1)",42042,3,"lower bound",3,16317],[5,14,"p","(4,4,2,2,2)",21450,8280,"upper bound",0,8280],[5,14,"p","(5,2,2,2,1,1,1)",24960,24,"lower bound",24,9740],[5,14,"p","(5,2,2,2,2,1)",21021,4,"lower bound",4,8141],[5,14,"p","(5,3,2,1,1,1,1)",47775,30,"lower bound",30,18410],[5,14,"p","(5,3,2,2,1,1)",69498,4,"lower bound",4,26496],[5,14,"p","(5,3,2,2,2)",35035,13286,"upper bound",0,13286],[5,14,"p","(5,4,1,1,1,1,1)",20384,10,"lower bound",10,7742],[5,14,"p","(6,2,1,1,1,1,1,1)",8085,28,"lower bound",28,38],[5,14,"p","(6,2,2,1,1,1,1)",21450,14,"lower bound",14,7965],[5,14,"p","(6,2,2,2,1,1)",28665,4,"lower bound",4,10535],[5,14,"p","(6,2,2,2,2)",14014,0,"exact",0,0],[5,14,"p","(6,3,1,1,1,1,1)",21021,8,"lower bound",8,7742],[5,14,"p","(7,1,1,1,1,1,1,1)",1716,3,"exact",3,3],[5,14,"p","(7,2,1,1,1,1,1)",9504,2,"lower bound",2,4],[5,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[5,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,6,"exact",6,6],[5,15,"p","(10,1,1,1,1,1)",2002,0,"exact",0,0],[5,15,"p","(10,2,1,1,1)",7722,0,"exact",0,0],[5,15,"p","(10,2,2,1)",9450,0,"exact",0,0],[5,15,"p","(10,3,1,1)",11088,0,"exact",0,0],[5,15,"p","(10,3,2)",9100,0,"exact",0,0],[5,15,"p","(10,4,1)",7007,0,"exact",0,0],[5,15,"p","(10,5)",1638,0,"exact",0,0],[5,15,"p","(11,1,1,1,1)",1001,0,"exact",0,0],[5,15,"p","(11,2,1,1)",2925,0,"exact",0,0],[5,15,"p","(11,2,2)",1925,0,"exact",0,0],[5,15,"p","(11,3,1)",2835,0,"exact",0,0],[5,15,"p","(11,4)",910,0,"exact",0,0],[5,15,"p","(12,1,1,1)",364,0,"exact",0,0],[5,15,"p","(12,2,1)",715,0,"exact",0,0],[5,15,"p","(12,3)",350,0,"exact",0,0],[5,15,"p","(13,1,1)",91,0,"exact",0,0],[5,15,"p","(13,2)",90,0,"exact",0,0],[5,15,"p","(14,1)",14,0,"exact",0,0],[5,15,"p","(15)",1,0,"exact",0,0],[5,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,23,"exact",23,23],[5,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,58,"exact",58,58],[5,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,88,"exact",88,88],[5,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,84,"exact",84,84],[5,15,"p","(2,2,2,2,2,2,1,1,1)",2002,45,"exact",45,45],[5,15,"p","(2,2,2,2,2,2,2,1)",1430,11,"exact",11,11],[5,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,23,"exact",23,23],[5,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,116,"exact",116,116],[5,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,264,"exact",264,264],[5,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,336,"lower bound",336,3032],[5,15,"p","(3,2,2,2,2,1,1,1,1)",11375,237,"lower bound",237,4860],[5,15,"p","(3,2,2,2,2,2,1,1)",11583,72,"lower bound",72,4908],[5,15,"p","(3,2,2,2,2,2,2)",5005,10,"upper bound",0,10],[5,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,176,"exact",176,176],[5,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,390,"lower bound",390,3890],[5,15,"p","(3,3,2,2,1,1,1,1,1)",22113,400,"lower bound",400,9306],[5,15,"p","(3,3,2,2,2,1,1,1)",32032,210,"lower bound",210,13334],[5,15,"p","(3,3,2,2,2,2,1)",25025,30,"lower bound",30,10350],[5,15,"p","(3,3,3,1,1,1,1,1,1)",12740,208,"lower bound",208,238],[5,15,"p","(3,3,3,2,1,1,1,1)",35035,210,"lower bound",210,14434],[5,15,"p","(3,3,3,2,2,1,1)",45045,66,"lower bound",66,18390],[5,15,"p","(3,3,3,2,2,2)",21450,4,"lower bound",4,8718],[5,15,"p","(3,3,3,3,1,1,1)",25025,34,"lower bound",34,10152],[5,15,"p","(3,3,3,3,2,1)",30030,6,"lower bound",6,12096],[5,15,"p","(3,3,3,3,3)",6006,0,"exact",0,0],[5,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,58,"exact",58,58],[5,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,264,"exact",264,264],[5,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,391,"lower bound",391,4680],[5,15,"p","(4,2,2,2,1,1,1,1,1)",25025,376,"lower bound",376,10400],[5,15,"p","(4,2,2,2,2,1,1,1)",35100,241,"lower bound",241,14430],[5,15,"p","(4,2,2,2,2,2,1)",27027,44,"lower bound",44,11040],[5,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,341,"lower bound",341,3955],[5,15,"p","(4,3,2,1,1,1,1,1,1)",42042,17267,"upper bound",0,17267],[5,15,"p","(4,3,2,2,1,1,1,1)",91000,36865,"upper bound",0,36865],[5,15,"p","(4,3,2,2,2,1,1)",108108,43403,"upper bound",0,43403],[5,15,"p","(4,3,2,2,2,2)",50050,20005,"upper bound",0,20005],[5,15,"p","(4,3,3,1,1,1,1,1)",57330,23058,"upper bound",0,23058],[5,15,"p","(4,3,3,2,1,1,1)",135135,53708,"upper bound",0,53708],[5,15,"p","(4,3,3,2,2,1)",128700,50792,"upper bound",0,50792],[5,15,"p","(4,3,3,3,1,1)",80080,31408,"upper bound",0,31408],[5,15,"p","(4,3,3,3,2)",54054,21096,"upper bound",0,21096],[5,15,"p","(4,4,1,1,1,1,1,1,1)",13650,159,"lower bound",159,382],[5,15,"p","(4,4,2,1,1,1,1,1)",58968,23487,"upper bound",0,23487],[5,15,"p","(4,4,2,2,1,1,1)",112112,44128,"upper bound",0,44128],[5,15,"p","(4,4,2,2,2,1)",100100,39125,"upper bound",0,39125],[5,15,"p","(4,4,3,1,1,1,1)",90090,35208,"upper bound",0,35208],[5,15,"p","(4,4,3,2,1,1)",175175,67788,"upper bound",0,67788],[5,15,"p","(4,4,3,2,2)",96525,37170,"upper bound",0,37170],[5,15,"p","(4,4,3,3,1)",81081,31032,"upper bound",0,31032],[5,15,"p","(4,4,4,1,1,1)",50050,19147,"upper bound",0,19147],[5,15,"p","(4,4,4,2,1)",75075,28500,"upper bound",0,28500],[5,15,"p","(4,4,4,3)",24024,9042,"upper bound",0,9042],[5,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,88,"exact",88,88],[5,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,244,"lower bound",244,3164],[5,15,"p","(5,2,2,1,1,1,1,1,1)",26950,284,"lower bound",284,10840],[5,15,"p","(5,2,2,2,1,1,1,1)",53625,21280,"upper bound",0,21280],[5,15,"p","(5,2,2,2,2,1,1)",61425,24160,"upper bound",0,24160],[5,15,"p","(5,2,2,2,2,2)",28028,10976,"upper bound",0,10976],[5,15,"p","(5,3,1,1,1,1,1,1,1)",24948,256,"lower bound",256,9954],[5,15,"p","(5,3,2,1,1,1,1,1)",100100,39275,"upper bound",0,39275],[5,15,"p","(5,3,2,2,1,1,1)",184275,71460,"upper bound",0,71460],[5,15,"p","(5,3,2,2,2,1)",162162,62451,"upper bound",0,62451],[5,15,"p","(5,3,3,1,1,1,1)",122850,47308,"upper bound",0,47308],[5,15,"p","(5,3,3,2,1,1)",231660,88344,"upper bound",0,88344],[5,15,"p","(5,3,3,2,2)",126126,47866,"upper bound",0,47866],[5,15,"p","(5,3,3,3,1)",100100,37760,"upper bound",0,37760],[5,15,"p","(5,4,1,1,1,1,1,1)",42042,16282,"upper bound",0,16282],[5,15,"p","(5,4,2,1,1,1,1)",159250,60760,"upper bound",0,60760],[5,15,"p","(5,4,2,2,1,1)",243243,91908,"upper bound",0,91908],[5,15,"p","(5,4,2,2,2)",125125,47050,"upper bound",0,47050],[5,15,"p","(5,4,3,1,1,1)",210210,78876,"upper bound",0,78876],[5,15,"p","(5,4,3,2,1)",292864,109056,"upper bound",0,109056],[5,15,"p","(5,4,3,3)",75075,27720,"upper bound",0,27720],[5,15,"p","(5,4,4,1,1)",100100,36860,"upper bound",0,36860],[5,15,"p","(5,4,4,2)",81081,29700,"upper bound",0,29700],[5,15,"p","(5,5,1,1,1,1,1)",34398,12880,"upper bound",0,12880],[5,15,"p","(5,5,2,1,1,1)",112112,41440,"upper bound",0,41440],[5,15,"p","(5,5,2,2,1)",125125,45900,"upper bound",0,45900],[5,15,"p","(5,5,3,1,1)",126126,45948,"upper bound",0,45948],[5,15,"p","(5,5,3,2)",96525,34980,"upper bound",0,34980],[5,15,"p","(5,5,4,1)",54054,19371,"upper bound",0,19371],[5,15,"p","(5,5,5)",6006,0,"exact",0,0],[5,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,84,"exact",84,84],[5,15,"p","(6,2,1,1,1,1,1,1,1)",14300,135,"lower bound",135,858],[5,15,"p","(6,2,2,1,1,1,1,1)",44550,16950,"upper bound",0,16950],[5,15,"p","(6,2,2,2,1,1,1)",75075,28240,"upper bound",0,28240],[5,15,"p","(6,2,2,2,2,1)",63700,23800,"upper bound",0,23800],[5,15,"p","(6,3,1,1,1,1,1,1)",43120,16282,"upper bound",0,16282],[5,15,"p","(6,3,2,1,1,1,1)",150150,55877,"upper bound",0,55877],[5,15,"p","(6,3,2,2,1,1)",221130,81513,"upper bound",0,81513],[5,15,"p","(6,3,2,2,2)",112112,41132,"upper bound",0,41132],[5,15,"p","(6,3,3,1,1,1)",156000,57120,"upper bound",0,57120],[5,15,"p","(6,3,3,2,1)",210210,76398,"upper bound",0,76398],[5,15,"p","(6,3,3,3)",50050,18040,"upper bound",0,18040],[5,15,"p","(6,4,1,1,1,1,1)",70070,25760,"upper bound",0,25760],[5,15,"p","(6,4,2,1,1,1)",221130,80271,"upper bound",0,80271],[5,15,"p","(6,4,2,2,1)",243243,87642,"upper bound",0,87642],[5,15,"p","(6,4,3,1,1)",231660,82908,"upper bound",0,82908],[5,15,"p","(6,4,3,2)",175175,62370,"upper bound",0,62370],[5,15,"p","(6,4,4,1)",80080,28204,"upper bound",0,28204],[5,15,"p","(6,5,1,1,1,1)",63700,22722,"upper bound",0,22722],[5,15,"p","(6,5,2,1,1)",162162,57231,"upper bound",0,57231],[5,15,"p","(6,5,2,2)",100100,35145,"upper bound",0,35145],[5,15,"p","(6,5,3,1)",128700,44880,"upper bound",0,44880],[5,15,"p","(6,5,4)",30030,10329,"upper bound",0,10329],[5,15,"p","(6,6,1,1,1)",28028,9660,"upper bound",0,9660],[5,15,"p","(6,6,2,1)",50050,17105,"upper bound",0,17105],[5,15,"p","(6,6,3)",21450,7260,"upper bound",0,7260],[5,15,"p","(7,1,1,1,1,1,1,1,1)",3003,45,"lower bound",45,51],[5,15,"p","(7,2,1,1,1,1,1,1)",19305,70,"lower bound",70,97],[5,15,"p","(7,2,2,1,1,1,1)",51975,18528,"upper bound",0,18528],[5,15,"p","(7,2,2,2,1,1)",70070,24752,"upper bound",0,24752],[5,15,"p","(7,2,2,2,2)",34398,12096,"upper bound",0,12096],[5,15,"p","(7,3,1,1,1,1,1)",51975,18400,"upper bound",0,18400],[5,15,"p","(7,3,2,1,1,1)",150150,52515,"upper bound",0,52515],[5,15,"p","(7,3,2,2,1)",159250,55300,"upper bound",0,55300],[5,15,"p","(7,3,3,1,1)",122850,42390,"upper bound",0,42390],[5,15,"p","(7,3,3,2)",90090,30932,"upper bound",0,30932],[5,15,"p","(7,4,1,1,1,1)",75075,25968,"upper bound",0,25968],[5,15,"p","(7,4,2,1,1)",184275,63090,"upper bound",0,63090],[5,15,"p","(7,4,2,2)",112112,38192,"upper bound",0,38192],[5,15,"p","(7,4,3,1)",135135,45738,"upper bound",0,45738],[5,15,"p","(7,4,4)",25025,8360,"upper bound",0,8360],[5,15,"p","(7,5,1,1,1)",61425,20700,"upper bound",0,20700],[5,15,"p","(7,5,2,1)",108108,36135,"upper bound",0,36135],[5,15,"p","(7,5,3)",45045,14916,"upper bound",0,14916],[5,15,"p","(7,6,1,1)",27027,8844,"upper bound",0,8844],[5,15,"p","(7,6,2)",25025,8140,"upper bound",0,8140],[5,15,"p","(7,7,1)",5005,0,"exact",0,0],[5,15,"p","(8,1,1,1,1,1,1,1)",3432,9,"lower bound",9,38],[5,15,"p","(8,2,1,1,1,1,1)",19305,7,"lower bound",7,22],[5,15,"p","(8,2,2,1,1,1)",43120,14224,"upper bound",0,14224],[5,15,"p","(8,2,2,2,1)",42042,13776,"upper bound",0,13776],[5,15,"p","(8,3,1,1,1,1)",44550,14607,"upper bound",0,14607],[5,15,"p","(8,3,2,1,1)",100100,32510,"upper 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bound",0,63063],[5,14,"s","(5,4,1,1,1,1,1)",20384,2,"lower bound",2,20384],[5,14,"s","(5,3,3,3)",15015,0,"lower bound",0,15015],[5,14,"s","(5,3,3,2,1)",64064,0,"lower bound",0,64064],[5,14,"s","(5,3,3,1,1,1)",48048,0,"lower bound",0,48048],[5,14,"s","(5,3,2,2,2)",35035,0,"lower bound",0,35035],[5,14,"s","(5,3,2,2,1,1)",69498,0,"lower bound",0,69498],[5,14,"s","(5,3,2,1,1,1,1)",47775,6,"lower bound",6,47775],[5,14,"s","(5,3,1,1,1,1,1,1)",14014,22,"lower bound",22,14014],[5,14,"s","(5,2,2,2,2,1)",21021,0,"lower bound",0,21021],[5,14,"s","(5,2,2,2,1,1,1)",24960,6,"lower bound",6,24960],[5,14,"s","(5,2,2,1,1,1,1,1)",15015,31,"lower bound",31,15015],[5,14,"s","(5,2,1,1,1,1,1,1,1)",4928,59,"lower bound",59,4928],[5,14,"s","(5,1,1,1,1,1,1,1,1,1)",715,37,"lower bound",37,715],[5,14,"s","(4,4,4,2)",12012,0,"lower bound",0,12012],[5,14,"s","(4,4,4,1,1)",15015,0,"lower bound",0,15015],[5,14,"s","(4,4,3,3)",12012,0,"lower bound",0,12012],[5,14,"s","(4,4,3,2,1)",48048,0,"lower 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bound",91,7007],[5,14,"s","(4,2,1,1,1,1,1,1,1,1)",2079,108,"lower bound",108,2079],[5,14,"s","(4,1,1,1,1,1,1,1,1,1,1)",286,44,"lower bound",44,286],[5,14,"s","(3,3,3,3,2)",6006,0,"lower bound",0,6006],[5,14,"s","(3,3,3,3,1,1)",9009,0,"lower bound",0,9009],[5,14,"s","(3,3,3,2,2,1)",15015,0,"lower bound",0,15015],[5,14,"s","(3,3,3,2,1,1,1)",16016,2,"lower bound",2,16016],[5,14,"s","(3,3,3,1,1,1,1,1)",7007,12,"lower bound",12,7007],[5,14,"s","(3,3,2,2,2,2)",6435,0,"lower bound",0,6435],[5,14,"s","(3,3,2,2,2,1,1)",14014,1,"lower bound",1,14014],[5,14,"s","(3,3,2,2,1,1,1,1)",12012,22,"lower bound",22,12012],[5,14,"s","(3,3,2,1,1,1,1,1,1)",5733,70,"lower bound",70,5733],[5,14,"s","(3,3,1,1,1,1,1,1,1,1)",1365,69,"lower bound",69,1365],[5,14,"s","(3,2,2,2,2,2,1)",4576,0,"lower bound",0,4576],[5,14,"s","(3,2,2,2,2,1,1,1)",6006,11,"lower bound",11,6006],[5,14,"s","(3,2,2,2,1,1,1,1,1)",4368,57,"lower bound",57,4368],[5,14,"s","(3,2,2,1,1,1,1,1,1,1)",2002,104,"lower bound",104,2002],[5,14,"s","(3,2,1,1,1,1,1,1,1,1,1)",560,83,"lower bound",83,560],[5,14,"s","(3,1,1,1,1,1,1,1,1,1,1,1)",78,26,"lower bound",26,78],[5,14,"s","(2,2,2,2,2,2,2)",429,0,"lower bound",0,429],[5,14,"s","(2,2,2,2,2,2,1,1)",1001,1,"lower bound",1,1001],[5,14,"s","(2,2,2,2,2,1,1,1,1)",1001,12,"lower bound",12,1001],[5,14,"s","(2,2,2,2,1,1,1,1,1,1)",637,33,"lower bound",33,637],[5,14,"s","(2,2,2,1,1,1,1,1,1,1,1)",273,40,"lower bound",40,273],[5,14,"s","(2,2,1,1,1,1,1,1,1,1,1,1)",77,25,"lower bound",25,77],[5,14,"s","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,8,"lower 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bound",0,3],[5,14,"t","(4,2,2,2,2,1,1)",15444,17,"exact",17,17],[5,14,"t","(7,5,1,1)",15444,0,"exact",0,0],[5,14,"t","(3,3,3,2,1,1,1)",16016,12,"exact",12,12],[5,14,"t","(7,4,3)",16016,0,"exact",0,0],[5,14,"t","(4,3,2,1,1,1,1,1)",23296,134,"lower bound",134,23296],[5,14,"t","(4,3,2,2,1,1,1)",42042,36,"lower bound",36,42042],[5,14,"t","(4,3,3,1,1,1,1)",27027,19,"lower bound",19,27027],[5,14,"t","(4,4,2,1,1,1,1)",28028,19,"lower bound",19,28028],[5,14,"t","(5,2,2,2,1,1,1)",24960,30,"lower bound",30,24960],[5,14,"t","(5,3,2,1,1,1,1)",47775,36,"lower bound",36,47775],[5,14,"t","(5,4,1,1,1,1,1)",20384,12,"lower bound",12,20384],[5,14,"t","(6,2,2,1,1,1,1)",21450,17,"lower bound",17,21450],[5,14,"t","(6,3,1,1,1,1,1)",21021,9,"lower bound",9,21021],[5,14,"t","(4,3,3,2,1,1)",50050,3,"lower bound",3,50050],[5,14,"t","(4,3,2,2,2,1)",36608,2,"lower bound",2,36608],[5,14,"t","(5,3,3,1,1,1)",48048,3,"lower bound",3,48048],[5,14,"t","(5,4,2,1,1,1)",63063,3,"lower bound",3,63063],[5,14,"t","(6,3,2,1,1,1)",59904,2,"lower bound",2,59904],[5,14,"t","(5,3,2,2,1,1)",69498,4,"lower bound",4,69498],[5,14,"t","(4,4,2,2,1,1)",42042,3,"lower bound",3,42042],[5,14,"t","(5,2,2,2,2,1)",21021,4,"lower bound",4,21021],[5,14,"t","(6,2,2,2,1,1)",28665,4,"lower bound",4,28665],[5,15,"t","(15)",1,0,"exact",0,0],[5,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,11,"exact",11,11],[5,15,"t","(14,1)",14,0,"exact",0,0],[5,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,47,"exact",47,47],[5,15,"t","(13,2)",90,0,"exact",0,0],[5,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,48,"exact",48,48],[5,15,"t","(13,1,1)",91,0,"exact",0,0],[5,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,113,"exact",113,113],[5,15,"t","(12,3)",350,0,"exact",0,0],[5,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,120,"exact",120,120],[5,15,"t","(12,1,1,1)",364,0,"exact",0,0],[5,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,232,"exact",232,232],[5,15,"t","(12,2,1)",715,0,"exact",0,0],[5,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,165,"exact",165,165],[5,15,"t","(11,4)",910,1,"upper bound",0,1],[5,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,184,"exact",184,184],[5,15,"t","(11,1,1,1,1)",1001,1,"upper bound",0,1],[5,15,"t","(2,2,2,2,2,2,2,1)",1430,15,"lower bound",15,19],[5,15,"t","(8,7)",1430,0,"exact",0,0],[5,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,145,"exact",145,145],[5,15,"t","(10,5)",1638,0,"exact",0,0],[5,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,344,"exact",344,344],[5,15,"t","(11,2,2)",1925,2,"upper bound",0,2],[5,15,"t","(2,2,2,2,2,2,1,1,1)",2002,69,"lower bound",69,70],[5,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,170,"lower bound",170,172],[5,15,"t","(9,6)",2002,0,"exact",0,0],[5,15,"t","(10,1,1,1,1,1)",2002,13,"upper bound",0,13],[5,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,507,"exact",507,507],[5,15,"t","(11,3,1)",2835,3,"upper bound",0,3],[5,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,525,"exact",525,525],[5,15,"t","(11,2,1,1)",2925,3,"upper bound",0,3],[5,15,"t","(7,1,1,1,1,1,1,1,1)",3003,80,"lower bound",80,86],[5,15,"t","(9,1,1,1,1,1,1)",3003,16,"upper bound",0,16],[5,15,"t","(8,1,1,1,1,1,1,1)",3432,13,"lower bound",13,42],[5,15,"t","(3,2,2,2,2,2,2)",5005,12,"lower bound",12,15],[5,15,"t","(7,7,1)",5005,0,"exact",0,0],[5,15,"t","(3,3,3,3,3)",6006,0,"exact",0,0],[5,15,"t","(5,5,5)",6006,0,"exact",0,0],[5,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,598,"lower bound",598,5513],[5,15,"t","(10,4,1)",7007,0,"exact",0,0],[5,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,644,"lower bound",644,6600],[5,15,"t","(10,2,1,1,1)",7722,1017,"upper bound",0,1017],[5,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,759,"lower bound",759,7444],[5,15,"t","(10,3,2)",9100,0,"exact",0,0],[5,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,781,"lower bound",781,8418],[5,15,"t","(10,2,2,1)",9450,77,"upper bound",0,77],[5,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,928,"lower bound",928,6519],[5,15,"t","(10,3,1,1)",11088,22,"upper bound",0,22],[5,15,"t","(9,5,1)",11375,0,"exact",0,0],[5,15,"t","(8,6,1)",11583,0,"exact",0,0],[5,15,"t","(3,3,3,1,1,1,1,1,1)",12740,388,"exact",388,388],[5,15,"t","(9,3,3)",12740,0,"exact",0,0],[5,15,"t","(4,4,1,1,1,1,1,1,1)",13650,404,"lower bound",404,651],[5,15,"t","(9,2,2,2)",13650,13,"upper bound",0,13],[5,15,"t","(6,2,1,1,1,1,1,1,1)",14300,418,"lower bound",418,1129],[5,15,"t","(9,2,1,1,1,1)",14300,4700,"upper bound",0,4700],[5,15,"t","(7,2,1,1,1,1,1,1)",19305,126,"lower bound",126,141],[5,15,"t","(8,2,1,1,1,1,1)",19305,11,"lower bound",11,40],[5,15,"t","(3,2,2,2,2,1,1,1,1)",11375,380,"lower bound",380,11375],[5,15,"t","(3,2,2,2,2,2,1,1)",11583,116,"lower bound",116,11583],[5,15,"t","(3,3,2,2,1,1,1,1,1)",22113,705,"lower bound",705,22113],[5,15,"t","(3,3,2,2,2,1,1,1)",32032,307,"lower bound",307,32032],[5,15,"t","(3,3,2,2,2,2,1)",25025,50,"lower bound",50,25025],[5,15,"t","(3,3,3,2,1,1,1,1)",35035,310,"lower bound",310,35035],[5,15,"t","(3,3,3,2,2,1,1)",45045,85,"lower bound",85,45045],[5,15,"t","(3,3,3,3,1,1,1)",25025,47,"lower bound",47,25025],[5,15,"t","(4,2,2,2,1,1,1,1,1)",25025,814,"lower bound",814,25025],[5,15,"t","(4,2,2,2,2,1,1,1)",35100,358,"lower bound",358,35100],[5,15,"t","(4,2,2,2,2,2,1)",27027,70,"lower bound",70,27027],[5,15,"t","(4,3,2,1,1,1,1,1,1)",42042,1284,"lower bound",1284,42042],[5,15,"t","(4,3,2,2,1,1,1,1)",91000,334,"lower bound",334,91000],[5,15,"t","(4,3,2,2,2,1,1)",108108,64,"lower bound",64,108108],[5,15,"t","(4,3,3,1,1,1,1,1)",57330,482,"lower bound",482,57330],[5,15,"t","(4,3,3,2,1,1,1)",135135,70,"lower bound",70,135135],[5,15,"t","(4,4,2,1,1,1,1,1)",58968,490,"lower bound",490,58968],[5,15,"t","(4,4,2,2,1,1,1)",112112,58,"lower bound",58,112112],[5,15,"t","(4,4,3,1,1,1,1)",90090,38,"lower bound",38,90090],[5,15,"t","(5,2,2,1,1,1,1,1,1)",26950,841,"lower bound",841,26950],[5,15,"t","(5,2,2,2,1,1,1,1)",53625,528,"lower bound",528,53625],[5,15,"t","(5,2,2,2,2,1,1)",61425,166,"lower bound",166,61425],[5,15,"t","(5,3,1,1,1,1,1,1,1)",24948,736,"lower bound",736,24948],[5,15,"t","(5,3,2,1,1,1,1,1)",100100,335,"lower bound",335,100100],[5,15,"t","(5,3,2,2,1,1,1)",184275,106,"lower bound",106,184275],[5,15,"t","(5,3,3,1,1,1,1)",122850,58,"lower bound",58,122850],[5,15,"t","(5,4,1,1,1,1,1,1)",42042,320,"lower bound",320,42042],[5,15,"t","(5,4,2,1,1,1,1)",159250,70,"lower bound",70,159250],[5,15,"t","(5,5,1,1,1,1,1)",34398,47,"lower bound",47,34398],[5,15,"t","(6,2,2,1,1,1,1,1)",44550,384,"lower bound",384,44550],[5,15,"t","(6,2,2,2,1,1,1)",75075,51,"lower bound",51,75075],[5,15,"t","(6,3,1,1,1,1,1,1)",43120,313,"lower bound",313,43120],[5,15,"t","(6,3,2,1,1,1,1)",150150,64,"lower bound",64,150150],[5,15,"t","(6,4,1,1,1,1,1)",70070,21,"lower bound",21,70070],[5,15,"t","(7,2,2,1,1,1,1)",51975,76,"lower bound",76,51975],[5,15,"t","(7,3,1,1,1,1,1)",51975,49,"lower bound",49,51975],[5,15,"t","(5,2,2,2,2,2)",28028,24,"lower bound",24,28028],[5,15,"t","(7,3,2,1,1,1)",150150,2,"lower bound",2,150150],[5,15,"t","(4,3,3,3,1,1)",80080,4,"lower bound",4,80080],[5,15,"t","(5,4,3,1,1,1)",210210,6,"lower bound",6,210210],[5,15,"t","(5,5,2,1,1,1)",112112,4,"lower bound",4,112112],[5,15,"t","(4,3,3,2,2,1)",128700,5,"lower bound",5,128700],[5,15,"t","(4,3,2,2,2,2)",50050,20,"lower bound",20,50050],[5,15,"t","(5,4,2,2,1,1)",243243,10,"lower bound",10,243243],[5,15,"t","(6,3,3,1,1,1)",156000,5,"lower bound",5,156000],[5,15,"t","(5,3,3,2,1,1)",231660,10,"lower bound",10,231660],[5,15,"t","(7,2,2,2,1,1)",70070,4,"lower bound",4,70070],[5,15,"t","(4,4,3,2,1,1)",175175,6,"lower bound",6,175175],[5,15,"t","(6,4,2,1,1,1)",221130,5,"lower bound",5,221130],[5,15,"t","(5,3,2,2,2,1)",162162,10,"lower bound",10,162162],[5,15,"t","(3,3,3,3,2,1)",30030,8,"lower bound",8,30030],[5,15,"t","(4,4,2,2,2,1)",100100,5,"lower bound",5,100100],[5,15,"t","(6,3,2,2,1,1)",221130,10,"lower bound",10,221130],[5,15,"t","(6,5,1,1,1,1)",63700,8,"lower bound",8,63700],[5,15,"t","(6,2,2,2,2,1)",63700,42,"lower bound",42,63700],[5,15,"t","(4,3,3,3,2)",54054,2,"lower bound",2,54054],[5,15,"t","(4,4,4,1,1,1)",50050,6,"lower bound",6,50050],[5,15,"t","(8,2,2,1,1,1)",43120,3,"lower bound",3,43120],[5,15,"t","(7,2,2,2,2)",34398,5,"lower bound",5,34398],[5,15,"t","(3,3,3,2,2,2)",21450,4,"lower bound",4,21450],[5,15,"t","(8,3,1,1,1,1)",44550,1,"lower bound",1,44550],[5,16,"t","(16)",1,0,"exact",0,0],[5,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,12,"lower bound",12,13],[5,16,"t","(15,1)",15,0,"exact",0,0],[5,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,58,"lower bound",58,66],[5,16,"t","(14,2)",104,0,"exact",0,0],[5,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,59,"lower bound",59,67],[5,16,"t","(14,1,1)",105,0,"exact",0,0],[5,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,160,"lower bound",160,194],[5,16,"t","(13,3)",440,0,"exact",0,0],[5,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,168,"lower bound",168,203],[5,16,"t","(13,1,1,1)",455,0,"exact",0,0],[5,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,327,"lower bound",327,396],[5,16,"t","(13,2,1)",896,0,"exact",0,0],[5,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,278,"lower bound",278,363],[5,16,"t","(12,4)",1260,5,"upper bound",0,5],[5,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,304,"lower bound",304,396],[5,16,"t","(12,1,1,1,1)",1365,5,"upper bound",0,5],[5,16,"t","(2,2,2,2,2,2,2,2)",1430,15,"lower bound",15,48],[5,16,"t","(8,8)",1430,0,"exact",0,0],[5,16,"t","(11,5)",2548,7,"upper bound",0,7],[5,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,576,"lower bound",576,751],[5,16,"t","(12,2,2)",2640,10,"upper bound",0,10],[5,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,354,"lower bound",354,517],[5,16,"t","(11,1,1,1,1,1)",3003,41,"upper bound",0,41],[5,16,"t","(9,7)",3432,55,"upper bound",0,55],[5,16,"t","(10,6)",3640,69,"upper bound",0,69],[5,16,"t","(12,3,1)",3900,700,"upper bound",0,700],[5,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,877,"lower bound",877,1147],[5,16,"t","(12,2,1,1)",4004,804,"upper bound",0,804],[5,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,250,"lower bound",250,2298],[5,16,"t","(10,1,1,1,1,1,1)",5005,461,"upper bound",0,461],[5,16,"t","(8,1,1,1,1,1,1,1,1)",6435,93,"lower bound",93,488],[5,16,"t","(9,1,1,1,1,1,1,1)",6435,13,"lower bound",13,114],[5,16,"t","(11,4,1)",10752,1152,"upper bound",0,1152],[5,16,"t","(11,2,1,1,1)",11648,1017,"upper bound",0,1017],[5,16,"t","(11,3,2)",13860,3043,"upper bound",0,3043],[5,16,"t","(11,2,2,1)",14300,4700,"upper bound",0,4700],[5,16,"t","(11,3,1,1)",16848,848,"upper bound",0,848],[5,16,"t","(8,7,1)",18018,0,"exact",0,0],[5,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,310,"lower bound",310,2548],[5,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,214,"lower bound",214,3640],[5,16,"t","(2,2,2,2,2,2,2,1,1)",3432,84,"lower bound",84,3432],[5,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,852,"lower bound",852,3900],[5,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,1270,"lower bound",1270,10752],[5,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,1123,"lower bound",1123,20020],[5,16,"t","(3,2,2,2,2,2,1,1,1)",24960,565,"lower bound",565,24960],[5,16,"t","(3,2,2,2,2,2,2,1)",18018,143,"lower bound",143,18018],[5,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,1610,"lower bound",1610,13860],[5,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,2062,"lower bound",2062,38220],[5,16,"t","(3,3,2,2,2,1,1,1,1)",65520,1392,"lower bound",1392,65520],[5,16,"t","(3,3,2,2,2,2,1,1)",68640,473,"lower bound",473,68640],[5,16,"t","(3,3,2,2,2,2,2)",30030,62,"lower bound",62,30030],[5,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,1147,"lower bound",1147,21840],[5,16,"t","(3,3,3,2,1,1,1,1,1)",69888,1403,"lower bound",1403,69888],[5,16,"t","(3,3,3,2,2,1,1,1)",112112,702,"lower bound",702,112112],[5,16,"t","(3,3,3,2,2,2,1)",91520,139,"lower bound",139,91520],[5,16,"t","(3,3,3,3,1,1,1,1)",60060,357,"lower bound",357,60060],[5,16,"t","(3,3,3,3,2,1,1)",100100,140,"lower bound",140,100100],[5,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,1960,"lower bound",1960,16848],[5,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,2340,"lower bound",2340,43120],[5,16,"t","(4,2,2,2,2,1,1,1,1)",71500,1552,"lower bound",1552,71500],[5,16,"t","(4,2,2,2,2,2,1,1)",73710,544,"lower bound",544,73710],[5,16,"t","(4,2,2,2,2,2,2)",32032,82,"lower bound",82,32032],[5,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,1650,"lower bound",1650,14300],[5,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,3752,"lower bound",3752,71680],[5,16,"t","(4,3,2,2,1,1,1,1,1)",180180,3137,"lower bound",3137,180180],[5,16,"t","(4,3,2,2,2,1,1,1)",266240,1063,"lower bound",1063,266240],[5,16,"t","(4,3,2,2,2,2,1)",210210,204,"lower bound",204,210210],[5,16,"t","(4,3,3,1,1,1,1,1,1)",112112,2154,"lower bound",2154,112112],[5,16,"t","(4,3,3,2,1,1,1,1)",318500,1196,"lower bound",1196,318500],[5,16,"t","(4,3,3,2,2,1,1)",416988,224,"lower bound",224,416988],[5,16,"t","(4,3,3,3,1,1,1)",240240,121,"lower bound",121,240240],[5,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,1185,"lower bound",1185,23100],[5,16,"t","(4,4,2,1,1,1,1,1,1)",114660,2178,"lower bound",2178,114660],[5,16,"t","(4,4,2,2,1,1,1,1)",262080,882,"lower bound",882,262080],[5,16,"t","(4,4,2,2,2,1,1)",320320,127,"lower bound",127,320320],[5,16,"t","(4,4,3,1,1,1,1,1)",206388,1010,"lower bound",1010,206388],[5,16,"t","(4,4,3,2,1,1,1)",512512,172,"lower bound",172,512512],[5,16,"t","(4,4,4,1,1,1,1)",140140,44,"lower bound",44,140140],[5,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,1353,"lower bound",1353,11648],[5,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,2413,"lower bound",2413,45760],[5,16,"t","(5,2,2,2,1,1,1,1,1)",105600,2183,"lower bound",2183,105600],[5,16,"t","(5,2,2,2,2,1,1,1)",150150,1052,"lower bound",1052,150150],[5,16,"t","(5,2,2,2,2,2,1)",116480,260,"lower bound",260,116480],[5,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,2161,"lower bound",2161,42120],[5,16,"t","(5,3,2,1,1,1,1,1,1)",194040,3196,"lower bound",3196,194040],[5,16,"t","(5,3,2,2,1,1,1,1)",429000,1303,"lower bound",1303,429000],[5,16,"t","(5,3,2,2,2,1,1)",515970,346,"lower bound",346,515970],[5,16,"t","(5,3,3,1,1,1,1,1)",280280,875,"lower bound",875,280280],[5,16,"t","(5,3,3,2,1,1,1)",673920,244,"lower bound",244,673920],[5,16,"t","(5,4,1,1,1,1,1,1,1)",80640,1460,"lower bound",1460,80640],[5,16,"t","(5,4,2,1,1,1,1,1)",360360,1215,"lower bound",1215,360360],[5,16,"t","(5,4,2,2,1,1,1)",698880,244,"lower bound",244,698880],[5,16,"t","(5,4,3,1,1,1,1)",582400,172,"lower bound",172,582400],[5,16,"t","(5,5,1,1,1,1,1,1)",76440,367,"lower bound",367,76440],[5,16,"t","(5,5,2,1,1,1,1)",305760,121,"lower bound",121,305760],[5,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,1232,"lower bound",1232,24024],[5,16,"t","(6,2,2,1,1,1,1,1,1)",85800,1643,"lower bound",1643,85800],[5,16,"t","(6,2,2,2,1,1,1,1)",173250,963,"lower bound",963,173250],[5,16,"t","(6,2,2,2,2,1,1)",200200,259,"lower bound",259,200200],[5,16,"t","(6,3,1,1,1,1,1,1,1)",82368,1467,"lower bound",1467,82368],[5,16,"t","(6,3,2,1,1,1,1,1)",337920,1096,"lower bound",1096,337920],[5,16,"t","(6,3,2,2,1,1,1)",630630,231,"lower bound",231,630630],[5,16,"t","(6,3,3,1,1,1,1)",429000,127,"lower bound",127,429000],[5,16,"t","(6,4,1,1,1,1,1,1)",155232,654,"lower bound",654,155232],[5,16,"t","(6,4,2,1,1,1,1)",600600,160,"lower bound",160,600600],[5,16,"t","(6,5,1,1,1,1,1)",168168,76,"lower bound",76,168168],[5,16,"t","(7,2,1,1,1,1,1,1,1)",36608,624,"lower bound",624,36608],[5,16,"t","(7,2,2,1,1,1,1,1)",115830,586,"lower bound",586,115830],[5,16,"t","(7,2,2,2,1,1,1)",197120,131,"lower bound",131,197120],[5,16,"t","(7,3,1,1,1,1,1,1)",114400,488,"lower bound",488,114400],[5,16,"t","(7,3,2,1,1,1,1)",404250,191,"lower bound",191,404250],[5,16,"t","(7,4,1,1,1,1,1)",197120,70,"lower bound",70,197120],[5,16,"t","(8,2,1,1,1,1,1,1)",42042,150,"lower bound",150,42042],[5,16,"t","(8,2,2,1,1,1,1)",114400,90,"lower bound",90,114400],[5,16,"t","(8,3,1,1,1,1,1)",115830,61,"lower bound",61,115830],[5,16,"t","(5,3,3,2,2,1)",648648,25,"lower bound",25,648648],[5,16,"t","(7,2,2,2,2,1)",168168,51,"lower bound",51,168168],[5,16,"t","(7,3,2,2,1,1)",600600,16,"lower bound",16,600600],[5,16,"t","(6,2,2,2,2,2)",91728,66,"lower bound",66,91728],[5,16,"t","(5,5,2,2,1,1)",480480,14,"lower bound",14,480480],[5,16,"t","(4,3,3,3,2,1)",292864,19,"lower bound",19,292864],[5,16,"t","(7,4,2,1,1,1)",630630,7,"lower bound",7,630630],[5,16,"t","(6,3,2,2,2,1)",559104,62,"lower bound",62,559104],[5,16,"t","(4,4,3,2,2,1)",500500,16,"lower bound",16,500500],[5,16,"t","(6,6,1,1,1,1)",91728,8,"lower bound",8,91728],[5,16,"t","(4,3,3,2,2,2)",200200,29,"lower bound",29,200200],[5,16,"t","(6,3,3,2,1,1)",819000,25,"lower bound",25,819000],[5,16,"t","(8,2,2,2,1,1)",155232,7,"lower bound",7,155232],[5,16,"t","(6,5,2,1,1,1)",559104,17,"lower bound",17,559104],[5,16,"t","(9,2,1,1,1,1,1)",36608,11,"lower bound",11,36608],[5,16,"t","(5,4,2,2,2,1)",630630,25,"lower bound",25,630630],[5,16,"t","(5,3,2,2,2,2)",240240,54,"lower bound",54,240240],[5,16,"t","(5,3,3,3,1,1)",411840,14,"lower bound",14,411840],[5,16,"t","(3,3,3,3,3,1)",36036,8,"lower bound",8,36036],[5,16,"t","(4,4,3,3,1,1)",336336,10,"lower bound",10,336336],[5,16,"t","(4,4,4,2,1,1)",300300,12,"lower bound",12,300300],[5,16,"t","(6,4,2,2,1,1)",928746,25,"lower bound",25,928746],[5,16,"t","(5,5,3,1,1,1)",448448,10,"lower bound",10,448448],[5,16,"t","(5,4,3,2,1,1)",1153152,32,"lower bound",32,1153152],[5,16,"t","(7,5,1,1,1,1)",200200,8,"lower bound",8,200200],[5,16,"t","(8,3,2,1,1,1)",337920,6,"lower bound",6,337920],[5,16,"t","(6,4,3,1,1,1)",819000,16,"lower bound",16,819000],[5,16,"t","(3,3,3,3,2,2)",51480,12,"lower bound",12,51480],[5,16,"t","(5,4,4,1,1,1)",360360,12,"lower bound",12,360360],[5,16,"t","(4,4,2,2,2,2)",150150,25,"lower bound",25,150150],[5,16,"t","(7,3,3,1,1,1)",429000,7,"lower bound",7,429000],[5,16,"t","(5,3,3,3,2)",280280,2,"lower bound",2,280280],[5,16,"t","(8,2,2,2,2)",76440,5,"lower bound",5,76440],[5,16,"t","(8,4,1,1,1,1)",173250,1,"lower bound",1,173250],[5,16,"t","(4,4,3,3,2)",231660,2,"lower bound",2,231660],[5,16,"t","(9,3,1,1,1,1)",85800,1,"lower bound",1,85800],[5,16,"t","(9,2,2,1,1,1)",82368,3,"lower bound",3,82368],[5,16,"t","(7,3,2,2,2)",305760,5,"lower bound",5,305760],[5,16,"t","(4,3,3,3,3)",60060,2,"lower bound",2,60060],[5,17,"t","(17)",1,0,"exact",0,0],[5,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,13,"lower bound",13,15],[5,17,"t","(16,1)",16,0,"exact",0,0],[5,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,70,"lower bound",70,88],[5,17,"t","(15,2)",119,0,"exact",0,0],[5,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,71,"lower bound",71,89],[5,17,"t","(15,1,1)",120,0,"exact",0,0],[5,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,218,"lower bound",218,304],[5,17,"t","(14,3)",544,0,"exact",0,0],[5,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,227,"lower bound",227,315],[5,17,"t","(14,1,1,1)",560,0,"exact",0,0],[5,17,"t","(14,2,1)",1105,0,"exact",0,0],[5,17,"t","(13,4)",1700,15,"upper bound",0,15],[5,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,472,"lower bound",472,742],[5,17,"t","(13,1,1,1,1)",1820,15,"upper bound",0,15],[5,17,"t","(13,2,2)",3536,336,"upper bound",0,336],[5,17,"t","(12,5)",3808,396,"upper bound",0,396],[5,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,658,"lower bound",658,1225],[5,17,"t","(12,1,1,1,1,1)",4368,1168,"upper bound",0,1168],[5,17,"t","(9,8)",4862,90,"upper bound",0,90],[5,17,"t","(13,3,1)",5236,2036,"upper bound",0,2036],[5,17,"t","(13,2,1,1)",5355,2155,"upper bound",0,2155],[5,17,"t","(11,6)",6188,396,"upper bound",0,396],[5,17,"t","(10,7)",7072,1392,"upper bound",0,1392],[5,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,604,"lower bound",604,5997],[5,17,"t","(11,1,1,1,1,1,1)",8008,1762,"upper bound",0,1762],[5,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,343,"lower bound",343,4902],[5,17,"t","(10,1,1,1,1,1,1,1)",11440,13,"lower bound",13,474],[5,17,"t","(9,1,1,1,1,1,1,1,1)",12870,106,"lower bound",106,1461],[5,17,"t","(12,4,1)",15912,6312,"upper bound",0,6312],[5,17,"t","(12,2,1,1,1)",17017,1017,"upper bound",0,1017],[5,17,"t","(8,8,1)",19448,19,"upper bound",0,19],[5,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,438,"lower bound",438,1700],[5,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,588,"lower bound",588,3808],[5,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,524,"lower bound",524,6188],[5,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,298,"lower bound",298,7072],[5,17,"t","(2,2,2,2,2,2,2,2,1)",4862,99,"lower bound",99,4862],[5,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,444,"lower bound",444,1105],[5,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,1339,"lower bound",1339,5236],[5,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,2400,"lower bound",2400,15912],[5,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,2703,"lower bound",2703,33320],[5,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,1902,"lower bound",1902,48620],[5,17,"t","(3,2,2,2,2,2,2,1,1)",46410,792,"lower bound",792,46410],[5,17,"t","(3,2,2,2,2,2,2,2)",19448,158,"lower bound",158,19448],[5,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,903,"lower bound",903,3536],[5,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,3038,"lower bound",3038,20400],[5,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,4942,"lower bound",4942,62832],[5,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,4577,"lower bound",4577,123760],[5,17,"t","(3,3,2,2,2,2,1,1,1)",159120,2430,"lower bound",2430,159120],[5,17,"t","(3,3,2,2,2,2,2,1)",116688,678,"lower bound",678,116688],[5,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,2757,"lower bound",2757,35700],[5,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,4612,"lower bound",4612,129948],[5,17,"t","(3,3,3,2,2,1,1,1,1)",247520,3497,"lower bound",3497,247520],[5,17,"t","(3,3,3,2,2,2,1,1)",272272,1314,"lower bound",1314,272272],[5,17,"t","(3,3,3,2,2,2,2)",121550,201,"lower bound",201,121550],[5,17,"t","(3,3,3,3,1,1,1,1,1)",129948,1760,"lower bound",1760,129948],[5,17,"t","(3,3,3,3,2,1,1,1)",272272,1199,"lower bound",1199,272272],[5,17,"t","(3,3,3,3,2,2,1)",243100,291,"lower bound",291,243100],[5,17,"t","(3,3,3,3,3,1,1)",136136,148,"lower bound",148,136136],[5,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,1372,"lower bound",1372,5355],[5,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,3689,"lower bound",3689,24752],[5,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,5570,"lower bound",5570,70720],[5,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,5015,"lower bound",5015,134640],[5,17,"t","(4,2,2,2,2,2,1,1,1)",170170,2661,"lower bound",2661,170170],[5,17,"t","(4,2,2,2,2,2,2,1)",123760,769,"lower bound",769,123760],[5,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,3103,"lower bound",3103,20944],[5,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,8972,"lower bound",8972,116688],[5,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,11291,"lower bound",11291,333200],[5,17,"t","(4,3,2,2,2,1,1,1,1)",583440,7144,"lower bound",7144,583440],[5,17,"t","(4,3,2,2,2,2,1,1)",618800,2284,"lower bound",2284,618800],[5,17,"t","(4,3,2,2,2,2,2)",272272,348,"lower bound",348,272272],[5,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,7053,"lower bound",7053,205632],[5,17,"t","(4,3,3,2,1,1,1,1,1)",680680,7890,"lower bound",7890,680680],[5,17,"t","(4,3,3,2,2,1,1,1)",1113840,3185,"lower bound",3185,1113840],[5,17,"t","(4,3,3,2,2,2,1)",918918,596,"lower bound",596,918918],[5,17,"t","(4,3,3,3,1,1,1,1)",618800,1674,"lower bound",1674,618800],[5,17,"t","(4,3,3,3,2,1,1)",1050192,504,"lower bound",504,1050192],[5,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,2835,"lower bound",2835,37400],[5,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,7115,"lower bound",7115,209440],[5,17,"t","(4,4,2,2,1,1,1,1,1)",556920,6197,"lower bound",6197,556920],[5,17,"t","(4,4,2,2,2,1,1,1)",848640,2072,"lower bound",2072,848640],[5,17,"t","(4,4,2,2,2,2,1)",680680,356,"lower bound",356,680680],[5,17,"t","(4,4,3,1,1,1,1,1,1)",433160,5342,"lower bound",5342,433160],[5,17,"t","(4,4,3,2,1,1,1,1)",1299480,3260,"lower bound",3260,1299480],[5,17,"t","(4,4,3,2,2,1,1)",1750320,539,"lower bound",539,1750320],[5,17,"t","(4,4,3,3,1,1,1)",1089088,303,"lower bound",303,1089088],[5,17,"t","(4,4,4,1,1,1,1,1)",346528,1054,"lower bound",1054,346528],[5,17,"t","(4,4,4,2,1,1,1)",952952,228,"lower bound",228,952952],[5,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,2534,"lower bound",2534,17017],[5,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,5726,"lower bound",5726,74256],[5,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,6936,"lower bound",6936,194480],[5,17,"t","(5,2,2,2,2,1,1,1,1)",327250,4787,"lower bound",4787,327250],[5,17,"t","(5,2,2,2,2,2,1,1)",340340,1856,"lower bound",1856,340340],[5,17,"t","(5,2,2,2,2,2,2)",148512,342,"lower bound",342,148512],[5,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,5164,"lower bound",5164,68068],[5,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,11522,"lower bound",11522,353600],[5,17,"t","(5,3,2,2,1,1,1,1,1)",908820,9819,"lower bound",9819,908820],[5,17,"t","(5,3,2,2,2,1,1,1)",1361360,3764,"lower bound",3764,1361360],[5,17,"t","(5,3,2,2,2,2,1)",1082900,864,"lower bound",864,1082900],[5,17,"t","(5,3,3,1,1,1,1,1,1)",586432,6225,"lower bound",6225,586432],[5,17,"t","(5,3,3,2,1,1,1,1)",1701700,3618,"lower bound",3618,1701700],[5,17,"t","(5,3,3,2,2,1,1)",2255526,839,"lower bound",839,2255526],[5,17,"t","(5,3,3,3,1,1,1)",1326000,379,"lower bound",379,1326000],[5,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,4806,"lower bound",4806,145860],[5,17,"t","(5,4,2,1,1,1,1,1,1)",749700,8049,"lower bound",8049,749700],[5,17,"t","(5,4,2,2,1,1,1,1)",1750320,3644,"lower bound",3644,1750320],[5,17,"t","(5,4,2,2,2,1,1)",2165800,742,"lower bound",742,2165800],[5,17,"t","(5,4,3,1,1,1,1,1)",1429428,3272,"lower bound",3272,1429428],[5,17,"t","(5,4,3,2,1,1,1)",3620864,864,"lower bound",864,3620864],[5,17,"t","(5,4,4,1,1,1,1)",1082900,228,"lower bound",228,1082900],[5,17,"t","(5,5,1,1,1,1,1,1,1)",157080,1827,"lower bound",1827,157080],[5,17,"t","(5,5,2,1,1,1,1,1)",742560,1703,"lower bound",1703,742560],[5,17,"t","(5,5,2,2,1,1,1)",1485120,379,"lower bound",379,1485120],[5,17,"t","(5,5,3,1,1,1,1)",1336608,303,"lower bound",303,1336608],[5,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,2939,"lower bound",2939,38675],[5,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,5288,"lower bound",5288,155584],[5,17,"t","(6,2,2,2,1,1,1,1,1)",364650,4789,"lower bound",4789,364650],[5,17,"t","(6,2,2,2,2,1,1,1)",523600,2274,"lower bound",2274,523600],[5,17,"t","(6,2,2,2,2,2,1)",408408,585,"lower bound",585,408408],[5,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,4860,"lower bound",4860,148512],[5,17,"t","(6,3,2,1,1,1,1,1,1)",700128,7402,"lower bound",7402,700128],[5,17,"t","(6,3,2,2,1,1,1,1)",1570800,3593,"lower bound",3593,1570800],[5,17,"t","(6,3,2,2,2,1,1)",1905904,898,"lower bound",898,1905904],[5,17,"t","(6,3,3,1,1,1,1,1)",1047200,2098,"lower bound",2098,1047200],[5,17,"t","(6,3,3,2,1,1,1)",2552550,627,"lower bound",627,2552550],[5,17,"t","(6,4,1,1,1,1,1,1,1)",318240,3581,"lower bound",3581,318240],[5,17,"t","(6,4,2,1,1,1,1,1)",1454112,3125,"lower bound",3125,1454112],[5,17,"t","(6,4,2,2,1,1,1)",2858856,660,"lower bound",660,2858856],[5,17,"t","(6,4,3,1,1,1,1)",2431000,475,"lower bound",475,2431000],[5,17,"t","(6,5,1,1,1,1,1,1)",399840,1097,"lower bound",1097,399840],[5,17,"t","(6,5,2,1,1,1,1)",1633632,374,"lower bound",374,1633632],[5,17,"t","(6,6,1,1,1,1,1)",259896,84,"lower bound",84,259896],[5,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,2106,"lower bound",2106,65637],[5,17,"t","(7,2,2,1,1,1,1,1,1)",238238,2853,"lower bound",2853,238238],[5,17,"t","(7,2,2,2,1,1,1,1)",486200,1680,"lower bound",1680,486200],[5,17,"t","(7,2,2,2,2,1,1)",565488,441,"lower bound",441,565488],[5,17,"t","(7,3,1,1,1,1,1,1,1)",233376,2579,"lower bound",2579,233376],[5,17,"t","(7,3,2,1,1,1,1,1)",972400,2361,"lower bound",2361,972400],[5,17,"t","(7,3,2,2,1,1,1)",1832600,569,"lower bound",569,1832600],[5,17,"t","(7,3,3,1,1,1,1)",1262250,325,"lower bound",325,1262250],[5,17,"t","(7,4,1,1,1,1,1,1)",466752,1212,"lower bound",1212,466752],[5,17,"t","(7,4,2,1,1,1,1)",1832600,428,"lower bound",428,1832600],[5,17,"t","(7,5,1,1,1,1,1)",565488,154,"lower bound",154,565488],[5,17,"t","(8,2,1,1,1,1,1,1,1)",85085,867,"lower bound",867,85085],[5,17,"t","(8,2,2,1,1,1,1,1)",272272,826,"lower bound",826,272272],[5,17,"t","(8,2,2,2,1,1,1)",466752,228,"lower bound",228,466752],[5,17,"t","(8,3,1,1,1,1,1,1)",272272,699,"lower bound",699,272272],[5,17,"t","(8,3,2,1,1,1,1)",972400,348,"lower bound",348,972400],[5,17,"t","(8,4,1,1,1,1,1)",486200,132,"lower bound",132,486200],[5,17,"t","(9,2,1,1,1,1,1,1)",85085,174,"lower bound",174,85085],[5,17,"t","(9,2,2,1,1,1,1)",233376,104,"lower bound",104,233376],[5,17,"t","(9,3,1,1,1,1,1)",238238,73,"lower bound",73,238238],[5,17,"t","(7,3,3,2,1,1)",2431000,48,"lower bound",48,2431000],[5,17,"t","(7,6,1,1,1,1)",408408,16,"lower bound",16,408408],[5,17,"t","(8,3,2,2,1,1)",1454112,29,"lower bound",29,1454112],[5,17,"t","(5,5,4,1,1,1)",1089088,22,"lower bound",22,1089088],[5,17,"t","(6,5,3,1,1,1)",2475200,43,"lower bound",43,2475200],[5,17,"t","(5,3,3,3,2,1)",1633632,60,"lower bound",60,1633632],[5,17,"t","(8,4,2,1,1,1)",1570800,14,"lower bound",14,1570800],[5,17,"t","(4,3,3,3,2,2)",544544,60,"lower bound",60,544544],[5,17,"t","(6,3,3,3,1,1)",1591200,39,"lower bound",39,1591200],[5,17,"t","(6,5,2,2,1,1)",2598960,56,"lower bound",56,2598960],[5,17,"t","(4,4,3,3,2,1)",1361360,47,"lower bound",47,1361360],[5,17,"t","(6,3,2,2,2,2)",891072,182,"lower bound",182,891072],[5,17,"t","(7,3,2,2,2,1)",1633632,134,"lower bound",134,1633632],[5,17,"t","(5,3,3,2,2,2)",1089088,108,"lower bound",108,1089088],[5,17,"t","(7,2,2,2,2,2)",259896,117,"lower bound",117,259896],[5,17,"t","(4,4,4,3,1,1)",816816,22,"lower bound",22,816816],[5,17,"t","(5,5,3,2,1,1)",2722720,56,"lower bound",56,2722720],[5,17,"t","(3,3,3,3,3,2)",87516,20,"lower bound",20,87516],[5,17,"t","(6,4,2,2,2,1)",2598960,112,"lower bound",112,2598960],[5,17,"t","(8,3,3,1,1,1)",1047200,13,"lower bound",13,1047200],[5,17,"t","(6,6,2,1,1,1)",891072,25,"lower bound",25,891072],[5,17,"t","(6,3,3,2,2,1)",2475200,112,"lower bound",112,2475200],[5,17,"t","(7,4,2,2,1,1)",2858856,48,"lower bound",48,2858856],[5,17,"t","(8,2,2,2,2,1)",399840,63,"lower bound",63,399840],[5,17,"t","(4,4,3,2,2,2)",850850,70,"lower bound",70,850850],[5,17,"t","(7,5,2,1,1,1)",1905904,32,"lower bound",32,1905904],[5,17,"t","(5,4,2,2,2,2)",1021020,104,"lower bound",104,1021020],[5,17,"t","(4,4,4,2,2,1)",972400,28,"lower bound",28,972400],[5,17,"t","(5,4,3,3,1,1)",2450448,56,"lower bound",56,2450448],[5,17,"t","(5,4,3,2,2,1)",3573570,98,"lower bound",98,3573570],[5,17,"t","(5,5,2,2,2,1)",1361360,39,"lower bound",39,1361360],[5,17,"t","(4,3,3,3,3,1)",388960,29,"lower bound",29,388960],[5,17,"t","(9,2,2,2,1,1)",318240,10,"lower bound",10,318240],[5,17,"t","(9,3,2,1,1,1)",700128,10,"lower bound",10,700128],[5,17,"t","(6,4,4,1,1,1)",1591200,28,"lower bound",28,1591200],[5,17,"t","(5,4,4,2,1,1)",2362932,56,"lower bound",56,2362932],[5,17,"t","(6,4,3,2,1,1)",4873050,98,"lower bound",98,4873050],[5,17,"t","(7,4,3,1,1,1)",2552550,30,"lower bound",30,2552550],[5,17,"t","(10,2,1,1,1,1,1)",65637,11,"lower bound",11,65637],[5,17,"t","(8,5,1,1,1,1)",523600,9,"lower bound",9,523600],[5,17,"t","(9,4,1,1,1,1)",364650,2,"lower bound",2,364650],[5,17,"t","(9,2,2,2,2)",157080,5,"lower bound",5,157080],[5,17,"t","(5,3,3,3,3)",340340,4,"lower bound",4,340340],[5,17,"t","(4,4,4,3,2)",583440,2,"lower bound",2,583440],[5,17,"t","(7,4,2,2,2)",1485120,5,"lower bound",5,1485120],[5,17,"t","(8,3,2,2,2)",742560,10,"lower bound",10,742560],[5,17,"t","(5,4,3,3,2)",1701700,4,"lower bound",4,1701700],[5,17,"t","(10,3,1,1,1,1)",155584,1,"lower bound",1,155584],[5,17,"t","(4,4,3,3,3)",291720,4,"lower bound",4,291720],[5,17,"t","(6,3,3,3,2)",1089088,2,"lower bound",2,1089088],[5,17,"t","(10,2,2,1,1,1)",148512,3,"lower bound",3,148512],[5,17,"t","(7,3,3,2,2)",1336608,5,"lower bound",5,1336608],[5,18,"t","(18)",1,0,"exact",0,0],[5,18,"t","(17,1)",17,0,"exact",0,0],[5,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,83,"lower bound",83,112],[5,18,"t","(16,2)",135,0,"exact",0,0],[5,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,84,"lower bound",84,113],[5,18,"t","(16,1,1)",136,0,"exact",0,0],[5,18,"t","(15,3)",663,0,"exact",0,0],[5,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,298,"lower bound",298,458],[5,18,"t","(15,1,1,1)",680,0,"exact",0,0],[5,18,"t","(15,2,1)",1344,0,"exact",0,0],[5,18,"t","(14,4)",2244,35,"upper bound",0,35],[5,18,"t","(14,1,1,1,1)",2380,35,"upper bound",0,35],[5,18,"t","(14,2,2)",4641,1441,"upper bound",0,1441],[5,18,"t","(9,9)",4862,470,"upper bound",0,470],[5,18,"t","(13,5)",5508,2308,"upper bound",0,2308],[5,18,"t","(13,1,1,1,1,1)",6188,2988,"upper bound",0,2988],[5,18,"t","(14,3,1)",6885,3127,"upper bound",0,3127],[5,18,"t","(14,2,1,1)",7020,3331,"upper bound",0,3331],[5,18,"t","(12,6)",9996,396,"upper bound",0,396],[5,18,"t","(10,8)",11934,1392,"upper bound",0,1392],[5,18,"t","(12,1,1,1,1,1,1)",12376,2776,"upper bound",0,2776],[5,18,"t","(11,7)",13260,3660,"upper bound",0,3660],[5,18,"t","(11,1,1,1,1,1,1,1)",19448,13,"lower bound",13,1775],[5,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,18,"t","(10,1,1,1,1,1,1,1,1)",24310,119,"lower bound",119,24310],[5,18,"t","(10,2,1,1,1,1,1,1)",162162,198,"lower bound",198,162162],[5,18,"t","(10,2,2,1,1,1,1)",447525,118,"lower bound",118,447525],[5,18,"t","(10,3,1,1,1,1,1)",459459,85,"lower bound",85,459459],[5,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,14,"lower bound",14,17],[5,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,288,"lower bound",288,663],[5,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,656,"lower bound",656,2244],[5,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,1026,"lower bound",1026,5508],[5,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,1112,"lower bound",1112,9996],[5,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,822,"lower bound",822,13260],[5,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,397,"lower bound",397,11934],[5,18,"t","(2,2,2,2,2,2,2,2,2)",4862,99,"lower bound",99,4862],[5,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,585,"lower bound",585,1344],[5,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,2001,"lower bound",2001,6885],[5,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,4177,"lower bound",4177,22848],[5,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,5691,"lower bound",5691,53040],[5,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,5129,"lower bound",5129,88128],[5,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,2992,"lower bound",2992,102102],[5,18,"t","(3,2,2,2,2,2,2,2,1)",70720,1049,"lower bound",1049,70720],[5,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,1347,"lower bound",1347,4641],[5,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,5280,"lower bound",5280,29172],[5,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,10380,"lower bound",10380,99144],[5,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,12222,"lower bound",12222,219912],[5,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,8909,"lower bound",8909,331500],[5,18,"t","(3,3,2,2,2,2,2,1,1)",322218,3900,"lower bound",3900,322218],[5,18,"t","(3,3,2,2,2,2,2,2)",136136,836,"lower bound",836,136136],[5,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,5795,"lower bound",5795,56100],[5,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,12311,"lower bound",12311,228480],[5,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,12686,"lower bound",12686,501228],[5,18,"t","(3,3,3,2,2,2,1,1,1)",678912,7241,"lower bound",7241,678912],[5,18,"t","(3,3,3,2,2,2,2,1)",510510,2193,"lower bound",2193,510510],[5,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,6372,"lower bound",6372,259896],[5,18,"t","(3,3,3,3,2,1,1,1,1)",649740,6456,"lower bound",6456,649740],[5,18,"t","(3,3,3,3,2,2,1,1)",787644,2804,"lower bound",2804,787644],[5,18,"t","(3,3,3,3,2,2,2)",364650,492,"lower bound",492,364650],[5,18,"t","(3,3,3,3,3,1,1,1)",408408,1347,"lower bound",1347,408408],[5,18,"t","(3,3,3,3,3,2,1)",466752,459,"lower bound",459,466752],[5,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,2043,"lower bound",2043,7020],[5,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,6400,"lower bound",6400,35343],[5,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,11659,"lower bound",11659,111384],[5,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,13288,"lower bound",13288,238680],[5,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,9578,"lower bound",9578,353430],[5,18,"t","(4,2,2,2,2,2,2,1,1)",340340,4222,"lower bound",4222,340340],[5,18,"t","(4,2,2,2,2,2,2,2)",143208,927,"lower bound",927,143208],[5,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,5378,"lower bound",5378,29835],[5,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,18802,"lower bound",18802,182784],[5,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,30775,"lower bound",30775,583440],[5,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,28027,"lower bound",28027,1175040],[5,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,14519,"lower bound",14519,1531530],[5,18,"t","(4,3,2,2,2,2,2,1)",1131520,4079,"lower bound",4079,1131520],[5,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,18782,"lower bound",18782,358020],[5,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,30846,"lower bound",30846,1349460],[5,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,21716,"lower bound",21716,2625480],[5,18,"t","(4,3,3,2,2,2,1,1)",2923830,7379,"lower bound",7379,2923830],[5,18,"t","(4,3,3,2,2,2,2)",1312740,1145,"lower bound",1145,1312740],[5,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,11324,"lower bound",11324,1429428],[5,18,"t","(4,3,3,3,2,1,1,1)",3055104,6562,"lower bound",6562,3055104],[5,18,"t","(4,3,3,3,2,2,1)",2756754,1451,"lower bound",1451,2756754],[5,18,"t","(4,3,3,3,3,1,1)",1575288,681,"lower bound",681,1575288],[5,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,5938,"lower bound",5938,58344],[5,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,18922,"lower bound",18922,363528],[5,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,24603,"lower bound",24603,1099560],[5,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,15413,"lower bound",15413,1989000],[5,18,"t","(4,4,2,2,2,2,1,1)",2148120,4712,"lower bound",4712,2148120],[5,18,"t","(4,4,2,2,2,2,2)",952952,704,"lower bound",704,952952],[5,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,19510,"lower bound",19510,848232],[5,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,22689,"lower bound",22689,2970240],[5,18,"t","(4,4,3,2,2,1,1,1)",5012280,9056,"lower bound",9056,5012280],[5,18,"t","(4,4,3,2,2,2,1)",4200768,1561,"lower bound",1561,4200768],[5,18,"t","(4,4,3,3,1,1,1,1)",3007368,5237,"lower bound",5237,3007368],[5,18,"t","(4,4,3,3,2,1,1)",5250960,1393,"lower bound",1393,5250960],[5,18,"t","(4,4,4,1,1,1,1,1,1)",779688,6396,"lower bound",6396,779688],[5,18,"t","(4,4,4,2,1,1,1,1)",2598960,4542,"lower bound",4542,2598960],[5,18,"t","(4,4,4,2,2,1,1)",3675672,795,"lower bound",795,3675672],[5,18,"t","(4,4,4,3,1,1,1)",2858856,553,"lower bound",553,2858856],[5,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,699,"lower bound",699,2380],[5,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,4378,"lower bound",4378,24192],[5,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,11949,"lower bound",11949,116025],[5,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,18232,"lower bound",18232,339456],[5,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,16738,"lower bound",16738,656370],[5,18,"t","(5,2,2,2,2,2,1,1,1)",837760,9304,"lower bound",9304,837760],[5,18,"t","(5,2,2,2,2,2,2,1)",612612,2967,"lower bound",2967,612612],[5,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,10801,"lower bound",10801,106029],[5,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,31384,"lower bound",31384,612612],[5,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,39568,"lower bound",39568,1790100],[5,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,25514,"lower bound",25514,3180870],[5,18,"t","(5,3,2,2,2,2,1,1)",3403400,8768,"lower bound",8768,3403400],[5,18,"t","(5,3,2,2,2,2,2)",1503684,1554,"lower bound",1554,1503684],[5,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,24800,"lower bound",24800,1145664],[5,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,27552,"lower bound",27552,3877632],[5,18,"t","(5,3,3,2,2,1,1,1)",6432426,11406,"lower bound",11406,6432426],[5,18,"t","(5,3,3,2,2,2,1)",5346432,2407,"lower bound",2407,5346432],[5,18,"t","(5,3,3,3,1,1,1,1)",3646500,5671,"lower bound",5671,3646500],[5,18,"t","(5,3,3,3,2,1,1)",6265350,1782,"lower bound",1782,6265350],[5,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,12805,"lower bound",12805,251328],[5,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,31492,"lower bound",31492,1458600],[5,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,27709,"lower bound",27709,3965760],[5,18,"t","(5,4,2,2,2,1,1,1)",6126120,10222,"lower bound",10222,6126120],[5,18,"t","(5,4,2,2,2,2,1)",4950400,2066,"lower bound",2066,4950400],[5,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,22888,"lower bound",22888,3198720],[5,18,"t","(5,4,3,2,1,1,1,1)",9801792,14658,"lower bound",14658,9801792],[5,18,"t","(5,4,3,2,2,1,1)",13366080,3082,"lower bound",3082,13366080],[5,18,"t","(5,4,3,3,1,1,1)",8486400,1602,"lower bound",1602,8486400],[5,18,"t","(5,4,4,1,1,1,1,1)",2858856,4554,"lower bound",4554,2858856],[5,18,"t","(5,4,4,2,1,1,1)",8019648,1376,"lower bound",1376,8019648],[5,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,6633,"lower bound",6633,302940],[5,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,11579,"lower bound",11579,1649340],[5,18,"t","(5,5,2,2,1,1,1,1)",3978000,5726,"lower bound",5726,3978000],[5,18,"t","(5,5,2,2,2,1,1)",5012280,1160,"lower bound",1160,5012280],[5,18,"t","(5,5,3,1,1,1,1,1)",3508596,5278,"lower bound",5278,3508596],[5,18,"t","(5,5,3,2,1,1,1)",9165312,1602,"lower bound",1602,9165312],[5,18,"t","(5,5,4,1,1,1,1)",3508596,553,"lower bound",553,3508596],[5,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,1130,"lower bound",1130,6188],[5,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,6131,"lower bound",6131,60060],[5,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,13953,"lower bound",13953,268515],[5,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,17013,"lower bound",17013,714714],[5,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,11850,"lower bound",11850,1215500],[5,18,"t","(6,2,2,2,2,2,1,1)",1272348,4715,"lower bound",4715,1272348],[5,18,"t","(6,2,2,2,2,2,2)",556920,927,"lower bound",927,556920],[5,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,12963,"lower bound",12963,255255],[5,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,29072,"lower bound",29072,1357824],[5,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,25603,"lower bound",25603,3544398],[5,18,"t","(6,3,2,2,2,1,1,1)",5361664,10529,"lower bound",10529,5361664],[5,18,"t","(6,3,2,2,2,2,1)",4288284,2529,"lower bound",2529,4288284],[5,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,15725,"lower bound",15725,2333760],[5,18,"t","(6,3,3,2,1,1,1,1)",6872250,9936,"lower bound",9936,6872250],[5,18,"t","(6,3,3,2,2,1,1)",9189180,2476,"lower bound",2476,9189180],[5,18,"t","(6,3,3,3,1,1,1)",5469750,1045,"lower bound",1045,5469750],[5,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,13247,"lower bound",13247,612612],[5,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,22157,"lower bound",22157,3222180],[5,18,"t","(6,4,2,2,1,1,1,1)",7634088,11022,"lower bound",11022,7634088],[5,18,"t","(6,4,2,2,2,1,1)",9529520,2412,"lower bound",2412,9529520],[5,18,"t","(6,4,3,1,1,1,1,1)",6361740,8970,"lower bound",8970,6361740],[5,18,"t","(6,4,3,2,1,1,1)",16336320,2724,"lower bound",2724,16336320],[5,18,"t","(6,4,4,1,1,1,1)",5105100,731,"lower bound",731,5105100],[5,18,"t","(6,5,1,1,1,1,1,1,1)",875160,6505,"lower bound",6505,875160],[5,18,"t","(6,5,2,1,1,1,1,1)",4230144,6299,"lower bound",6299,4230144],[5,18,"t","(6,5,2,2,1,1,1)",8576568,1469,"lower bound",1469,8576568],[5,18,"t","(6,5,3,1,1,1,1)",7876440,1195,"lower bound",1195,7876440],[5,18,"t","(6,6,1,1,1,1,1,1)",659736,1181,"lower bound",1181,659736],[5,18,"t","(6,6,2,1,1,1,1)",2784600,483,"lower bound",483,2784600],[5,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,1262,"lower bound",1262,12376],[5,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,5649,"lower bound",5649,112320],[5,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,10247,"lower bound",10247,459459],[5,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,9322,"lower bound",9322,1089088],[5,18,"t","(7,2,2,2,2,1,1,1)",1575288,4395,"lower bound",4395,1575288],[5,18,"t","(7,2,2,2,2,2,1)",1233792,1143,"lower bound",1143,1233792],[5,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,9545,"lower bound",9545,447525],[5,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,15195,"lower bound",15195,2144142],[5,18,"t","(7,3,2,2,1,1,1,1)",4862000,8203,"lower bound",8203,4862000],[5,18,"t","(7,3,2,2,2,1,1)",5937624,2042,"lower bound",2042,5937624],[5,18,"t","(7,3,3,1,1,1,1,1)",3281850,4784,"lower bound",4784,3281850],[5,18,"t","(7,3,3,2,1,1,1)",8078400,1569,"lower bound",1569,8078400],[5,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,7372,"lower bound",7372,1018368],[5,18,"t","(7,4,2,1,1,1,1,1)",4725864,7126,"lower bound",7126,4725864],[5,18,"t","(7,4,2,2,1,1,1)",9382912,1705,"lower bound",1705,9382912],[5,18,"t","(7,4,3,1,1,1,1)",8078400,1258,"lower bound",1258,8078400],[5,18,"t","(7,5,1,1,1,1,1,1)",1432080,2463,"lower bound",2463,1432080],[5,18,"t","(7,5,2,1,1,1,1)",5937624,988,"lower bound",988,5937624],[5,18,"t","(7,6,1,1,1,1,1)",1233792,254,"lower bound",254,1233792],[5,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,947,"lower bound",947,19448],[5,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,3316,"lower bound",3316,162162],[5,18,"t","(8,2,2,1,1,1,1,1,1)",595595,4546,"lower bound",4546,595595],[5,18,"t","(8,2,2,2,1,1,1,1)",1225224,2734,"lower bound",2734,1225224],[5,18,"t","(8,2,2,2,2,1,1)",1432080,732,"lower bound",732,1432080],[5,18,"t","(8,3,1,1,1,1,1,1,1)",590733,4145,"lower bound",4145,590733],[5,18,"t","(8,3,2,1,1,1,1,1)",2489344,4234,"lower bound",4234,2489344],[5,18,"t","(8,3,2,2,1,1,1)",4725864,1174,"lower bound",1174,4725864],[5,18,"t","(8,3,3,1,1,1,1)",3281850,686,"lower bound",686,3281850],[5,18,"t","(8,4,1,1,1,1,1,1)",1225224,2043,"lower bound",2043,1225224],[5,18,"t","(8,4,2,1,1,1,1)",4862000,922,"lower bound",922,4862000],[5,18,"t","(8,5,1,1,1,1,1)",1575288,295,"lower bound",295,1575288],[5,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,449,"lower bound",449,24310],[5,18,"t","(9,2,1,1,1,1,1,1,1)",183040,1147,"lower bound",1147,183040],[5,18,"t","(9,2,2,1,1,1,1,1)",590733,1104,"lower bound",1104,590733],[5,18,"t","(9,2,2,2,1,1,1)",1018368,342,"lower bound",342,1018368],[5,18,"t","(9,3,1,1,1,1,1,1)",595595,946,"lower bound",946,595595],[5,18,"t","(9,3,2,1,1,1,1)",2144142,535,"lower bound",535,2144142],[5,18,"t","(9,4,1,1,1,1,1)",1089088,207,"lower bound",207,1089088],[5,18,"t","(9,5,1,1,1,1)",1215500,11,"lower bound",11,1215500],[5,18,"t","(4,3,3,3,3,2)",1021020,109,"lower bound",109,1021020],[5,18,"t","(7,4,4,1,1,1)",5469750,58,"lower bound",58,5469750],[5,18,"t","(7,6,2,1,1,1)",4288284,73,"lower bound",73,4288284],[5,18,"t","(7,3,2,2,2,2)",2784600,433,"lower bound",433,2784600],[5,18,"t","(5,5,4,2,1,1)",7876440,134,"lower bound",134,7876440],[5,18,"t","(8,4,2,2,1,1)",7634088,91,"lower bound",91,7634088],[5,18,"t","(5,3,3,3,3,1)",2362932,93,"lower bound",93,2362932],[5,18,"t","(8,4,3,1,1,1)",6872250,57,"lower bound",57,6872250],[5,18,"t","(4,4,4,4,1,1)",1021020,22,"lower bound",22,1021020],[5,18,"t","(5,5,3,3,1,1)",6534528,112,"lower bound",112,6534528],[5,18,"t","(6,3,3,3,2,1)",6789120,213,"lower bound",213,6789120],[5,18,"t","(6,5,2,2,2,1)",7920640,207,"lower bound",207,7920640],[5,18,"t","(8,6,1,1,1,1)",1272348,25,"lower bound",25,1272348],[5,18,"t","(7,7,1,1,1,1)",556920,16,"lower bound",16,556920],[5,18,"t","(7,4,2,2,2,1)",8576568,299,"lower bound",299,8576568],[5,18,"t","(6,6,2,2,1,1)",4511052,81,"lower bound",81,4511052],[5,18,"t","(6,4,3,3,1,1)",11277630,193,"lower bound",193,11277630],[5,18,"t","(9,3,3,1,1,1)",2333760,23,"lower bound",23,2333760],[5,18,"t","(6,3,3,2,2,2)",4455360,402,"lower bound",402,4455360],[5,18,"t","(6,5,4,1,1,1)",6789120,93,"lower bound",93,6789120],[5,18,"t","(4,4,3,3,2,2)",2756754,177,"lower bound",177,2756754],[5,18,"t","(6,6,3,1,1,1)",4455360,68,"lower bound",68,4455360],[5,18,"t","(5,4,4,2,2,1)",8270262,182,"lower bound",182,8270262],[5,18,"t","(6,4,3,2,2,1)",16243500,420,"lower bound",420,16243500],[5,18,"t","(4,4,4,3,2,1)",3734016,99,"lower bound",99,3734016],[5,18,"t","(8,3,3,2,1,1)",6361740,90,"lower bound",90,6361740],[5,18,"t","(4,4,3,3,3,1)",2042040,80,"lower bound",80,2042040],[5,18,"t","(7,3,3,2,2,1)",7876440,299,"lower bound",299,7876440],[5,18,"t","(4,4,4,2,2,2)",1823250,98,"lower bound",98,1823250],[5,18,"t","(9,2,2,2,2,1)",875160,78,"lower bound",78,875160],[5,18,"t","(3,3,3,3,3,3)",87516,20,"lower bound",20,87516],[5,18,"t","(6,4,2,2,2,2)",4511052,398,"lower bound",398,4511052],[5,18,"t","(8,5,2,1,1,1)",5361664,55,"lower bound",55,5361664],[5,18,"t","(10,2,2,2,1,1)",612612,13,"lower bound",13,612612],[5,18,"t","(9,4,2,1,1,1)",3544398,26,"lower bound",26,3544398],[5,18,"t","(5,5,2,2,2,2)",2382380,143,"lower bound",143,2382380],[5,18,"t","(6,4,4,2,1,1)",11277630,182,"lower bound",182,11277630],[5,18,"t","(5,5,5,1,1,1)",1429428,22,"lower bound",22,1429428],[5,18,"t","(8,2,2,2,2,2)",659736,180,"lower bound",180,659736],[5,18,"t","(7,4,3,2,1,1)",16336320,224,"lower bound",224,16336320],[5,18,"t","(7,5,3,1,1,1)",9189180,105,"lower bound",105,9189180],[5,18,"t","(11,2,1,1,1,1,1)",112320,11,"lower bound",11,112320],[5,18,"t","(6,5,3,2,1,1)",16243500,253,"lower bound",253,16243500],[5,18,"t","(5,4,3,3,2,1)",10720710,265,"lower bound",265,10720710],[5,18,"t","(7,3,3,3,1,1)",5105100,87,"lower bound",87,5105100],[5,18,"t","(7,5,2,2,1,1)",9529520,136,"lower bound",136,9529520],[5,18,"t","(8,3,2,2,2,1)",4230144,236,"lower bound",236,4230144],[5,18,"t","(9,3,2,2,1,1)",3222180,49,"lower bound",49,3222180],[5,18,"t","(5,4,4,3,1,1)",7088796,134,"lower bound",134,7088796],[5,18,"t","(5,5,3,2,2,1)",9189180,193,"lower bound",193,9189180],[5,18,"t","(5,3,3,3,2,2)",3267264,228,"lower bound",228,3267264],[5,18,"t","(10,3,2,1,1,1)",1357824,14,"lower bound",14,1357824],[5,18,"t","(5,4,3,2,2,2)",6534528,380,"lower bound",380,6534528],[5,18,"t","(9,3,2,2,2)",1649340,15,"lower bound",15,1649340],[5,18,"t","(5,5,3,3,2)",4594590,4,"lower bound",4,4594590],[5,18,"t","(7,3,3,3,2)",3508596,7,"lower bound",7,3508596],[5,18,"t","(6,4,3,3,2)",7876440,6,"lower bound",6,7876440],[5,18,"t","(7,5,2,2,2)",5012280,5,"lower bound",5,5012280],[5,18,"t","(11,2,2,1,1,1)",255255,3,"lower bound",3,255255],[5,18,"t","(4,4,4,3,3)",875160,6,"lower bound",6,875160],[5,18,"t","(11,3,1,1,1,1)",268515,1,"lower bound",1,268515],[5,18,"t","(7,4,3,2,2)",9165312,10,"lower bound",10,9165312],[5,18,"t","(8,4,2,2,2)",3978000,15,"lower bound",15,3978000],[5,18,"t","(5,4,4,3,2)",5105100,6,"lower bound",6,5105100],[5,18,"t","(8,3,3,2,2)",3508596,15,"lower bound",15,3508596],[5,18,"t","(4,4,4,4,2)",787644,2,"lower bound",2,787644],[5,18,"t","(5,4,3,3,3)",2333760,12,"lower bound",12,2333760],[5,18,"t","(10,2,2,2,2)",302940,5,"lower bound",5,302940],[5,18,"t","(6,3,3,3,3)",1429428,6,"lower bound",6,1429428],[5,18,"t","(10,4,1,1,1,1)",714714,3,"lower bound",3,714714],[5,19,"t","(18,1)",18,0,"exact",0,0],[5,19,"t","(17,2)",152,0,"exact",0,0],[5,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,98,"lower bound",98,138],[5,19,"t","(17,1,1)",153,0,"exact",0,0],[5,19,"t","(16,3)",798,0,"exact",0,0],[5,19,"t","(16,1,1,1)",816,0,"exact",0,0],[5,19,"t","(16,2,1)",1615,0,"exact",0,0],[5,19,"t","(15,4)",2907,70,"upper bound",0,70],[5,19,"t","(15,1,1,1,1)",3060,70,"upper bound",0,70],[5,19,"t","(15,2,2)",5985,2785,"upper bound",0,2785],[5,19,"t","(14,5)",7752,4552,"upper bound",0,4552],[5,19,"t","(14,1,1,1,1,1)",8568,5368,"upper bound",0,5368],[5,19,"t","(15,3,1)",8892,4429,"upper bound",0,4429],[5,19,"t","(15,2,1,1)",9044,4667,"upper bound",0,4667],[5,19,"t","(13,6)",15504,5904,"upper bound",0,5904],[5,19,"t","(10,9)",16796,1392,"upper bound",0,1392],[5,19,"t","(13,1,1,1,1,1,1)",18564,15364,"upper bound",0,15364],[5,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,19,"t","(19)",1,0,"exact",0,0],[5,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,15,"lower bound",15,18],[5,20,"t","(19,1)",19,0,"exact",0,0],[5,20,"t","(18,2)",170,0,"exact",0,0],[5,20,"t","(18,1,1)",171,0,"exact",0,0],[5,20,"t","(17,3)",950,0,"exact",0,0],[5,20,"t","(17,1,1,1)",969,0,"exact",0,0],[5,20,"t","(17,2,1)",1920,0,"exact",0,0],[5,20,"t","(16,4)",3705,505,"upper bound",0,505],[5,20,"t","(16,1,1,1,1)",3876,676,"upper bound",0,676],[5,20,"t","(16,2,2)",7600,4400,"upper bound",0,4400],[5,20,"t","(15,5)",10659,7459,"upper bound",0,7459],[5,20,"t","(16,3,1)",11305,8105,"upper bound",0,8105],[5,20,"t","(16,2,1,1)",11475,8275,"upper bound",0,8275],[5,20,"t","(15,1,1,1,1,1)",11628,8428,"upper bound",0,8428],[5,20,"t","(10,10)",16796,13596,"upper bound",0,13596],[5,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,16,"lower bound",16,19],[5,20,"t","(20)",1,0,"exact",0,0],[5,21,"t","(20,1)",20,0,"exact",0,0],[5,21,"t","(19,2)",189,0,"exact",0,0],[5,21,"t","(19,1,1)",190,0,"exact",0,0],[5,21,"t","(18,3)",1120,0,"exact",0,0],[5,21,"t","(18,1,1,1)",1140,0,"exact",0,0],[5,21,"t","(18,2,1)",2261,0,"exact",0,0],[5,21,"t","(17,4)",4655,1455,"upper bound",0,1455],[5,21,"t","(17,1,1,1,1)",4845,1645,"upper bound",0,1645],[5,21,"t","(17,2,2)",9520,6320,"upper bound",0,6320],[5,21,"t","(17,3,1)",14175,10975,"upper bound",0,10975],[5,21,"t","(16,5)",14364,11164,"upper bound",0,11164],[5,21,"t","(17,2,1,1)",14364,11164,"upper bound",0,11164],[5,21,"t","(16,1,1,1,1,1)",15504,12304,"upper bound",0,12304],[5,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,21,"t","(21)",1,0,"exact",0,0],[5,22,"t","(21,1)",21,0,"exact",0,0],[5,22,"t","(20,2)",209,0,"exact",0,0],[5,22,"t","(20,1,1)",210,0,"exact",0,0],[5,22,"t","(19,3)",1309,0,"exact",0,0],[5,22,"t","(19,1,1,1)",1330,0,"exact",0,0],[5,22,"t","(19,2,1)",2640,0,"exact",0,0],[5,22,"t","(18,4)",5775,2575,"upper bound",0,2575],[5,22,"t","(18,1,1,1,1)",5985,2785,"upper bound",0,2785],[5,22,"t","(18,2,2)",11781,8581,"upper bound",0,8581],[5,22,"t","(18,3,1)",17556,14356,"upper bound",0,14356],[5,22,"t","(18,2,1,1)",17765,14565,"upper bound",0,14565],[5,22,"t","(17,5)",19019,15819,"upper bound",0,15819],[5,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,22,"t","(22)",1,0,"exact",0,0],[5,23,"t","(22,1)",22,0,"exact",0,0],[5,23,"t","(21,2)",230,0,"exact",0,0],[5,23,"t","(21,1,1)",231,0,"exact",0,0],[5,23,"t","(20,3)",1518,0,"exact",0,0],[5,23,"t","(20,1,1,1)",1540,0,"exact",0,0],[5,23,"t","(20,2,1)",3059,0,"exact",0,0],[5,23,"t","(19,4)",7084,3884,"upper bound",0,3884],[5,23,"t","(19,1,1,1,1)",7315,4115,"upper bound",0,4115],[5,23,"t","(19,2,2)",14421,11221,"upper bound",0,11221],[5,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,23,"t","(23)",1,0,"exact",0,0],[5,24,"t","(23,1)",23,0,"exact",0,0],[5,24,"t","(22,2)",252,0,"exact",0,0],[5,24,"t","(22,1,1)",253,0,"exact",0,0],[5,24,"t","(21,3)",1748,0,"exact",0,0],[5,24,"t","(21,1,1,1)",1771,0,"exact",0,0],[5,24,"t","(21,2,1)",3520,0,"exact",0,0],[5,24,"t","(20,4)",8602,5402,"upper bound",0,5402],[5,24,"t","(20,1,1,1,1)",8855,5655,"upper bound",0,5655],[5,24,"t","(20,2,2)",17480,14280,"upper bound",0,14280],[5,24,"t","(24)",1,0,"exact",0,0],[5,25,"t","(24,1)",24,0,"exact",0,0],[5,25,"t","(23,2)",275,0,"exact",0,0],[5,25,"t","(23,1,1)",276,0,"exact",0,0],[5,25,"t","(22,3)",2000,0,"exact",0,0],[5,25,"t","(22,1,1,1)",2024,0,"exact",0,0],[5,25,"t","(22,2,1)",4025,0,"exact",0,0],[5,25,"t","(21,4)",10350,7150,"upper bound",0,7150],[5,25,"t","(21,1,1,1,1)",10626,7426,"upper bound",0,7426],[5,25,"t","(25)",1,0,"exact",0,0],[5,26,"t","(25,1)",25,0,"exact",0,0],[5,26,"t","(24,2)",299,0,"exact",0,0],[5,26,"t","(24,1,1)",300,0,"exact",0,0],[5,26,"t","(23,3)",2275,0,"exact",0,0],[5,26,"t","(23,1,1,1)",2300,0,"exact",0,0],[5,26,"t","(23,2,1)",4576,1465,"upper bound",0,1465],[5,26,"t","(22,4)",12350,9150,"upper bound",0,9150],[5,26,"t","(22,1,1,1,1)",12650,9450,"upper bound",0,9450],[5,26,"t","(26)",1,0,"exact",0,0],[5,27,"t","(26,1)",26,0,"exact",0,0],[5,27,"t","(25,2)",324,0,"exact",0,0],[5,27,"t","(25,1,1)",325,0,"exact",0,0],[5,27,"t","(24,3)",2574,0,"exact",0,0],[5,27,"t","(24,1,1,1)",2600,0,"exact",0,0],[5,27,"t","(24,2,1)",5175,2016,"upper bound",0,2016],[5,27,"t","(23,4)",14625,11425,"upper bound",0,11425],[5,27,"t","(23,1,1,1,1)",14950,11750,"upper bound",0,11750],[5,27,"t","(27)",1,0,"exact",0,0],[5,28,"t","(27,1)",27,0,"exact",0,0],[5,28,"t","(26,2)",350,0,"exact",0,0],[5,28,"t","(26,1,1)",351,0,"exact",0,0],[5,28,"t","(25,3)",2898,0,"exact",0,0],[5,28,"t","(25,1,1,1)",2925,0,"exact",0,0],[5,28,"t","(25,2,1)",5824,2624,"upper bound",0,2624],[5,28,"t","(24,4)",17199,13999,"upper bound",0,13999],[5,28,"t","(24,1,1,1,1)",17550,14350,"upper 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30,155,"exact",155,155],[5,12,"u","(4,4,4)",462,126,"exact",126,126],[5,12,"u","(4,4,3,1)",2970,960,"exact",960,960],[5,12,"u","(4,4,2,2)",2640,920,"exact",920,920],[5,12,"u","(4,4,2,1,1)",4455,1635,"exact",1635,1635],[5,12,"u","(4,4,1,1,1,1)",1925,785,"exact",785,785],[5,12,"u","(4,3,3,2)",2970,1140,"exact",1140,1140],[5,12,"u","(4,3,3,1,1)",4158,1674,"exact",1674,1674],[5,12,"u","(4,3,2,2,1)",5775,2495,"exact",2495,2495],[5,12,"u","(4,3,2,1,1,1)",5632,2616,"exact",2616,2616],[5,12,"u","(4,3,1,1,1,1,1)",2079,1089,"exact",1089,1089],[5,12,"u","(4,2,2,2,2)",1485,735,"exact",735,735],[5,12,"u","(4,2,2,2,1,1)",3080,1600,"exact",1600,1600],[5,12,"u","(4,2,2,1,1,1,1)",2376,1350,"exact",1350,1350],[5,12,"u","(4,2,1,1,1,1,1,1)",945,615,"exact",615,615],[5,12,"u","(4,1,1,1,1,1,1,1,1)",165,130,"exact",130,130],[5,12,"u","(3,3,3,3)",462,221,"exact",221,221],[5,12,"u","(3,3,3,2,1)",2112,1096,"exact",1096,1096],[5,12,"u","(3,3,3,1,1,1)",1650,920,"exact",920,920],[5,12,"u","(3,3,2,2,2)",1320,750,"exact",750,750],[5,12,"u","(3,3,2,2,1,1)",2673,1584,"exact",1584,1584],[5,12,"u","(3,3,2,1,1,1,1)",1925,1240,"exact",1240,1240],[5,12,"u","(3,3,1,1,1,1,1,1)",616,446,"exact",446,446],[5,12,"u","(3,2,2,2,2,1)",1155,780,"exact",780,780],[5,12,"u","(3,2,2,2,1,1,1)",1408,1004,"exact",1004,1004],[5,12,"u","(3,2,2,1,1,1,1,1)",891,696,"exact",696,696],[5,12,"u","(3,2,1,1,1,1,1,1,1)",320,280,"exact",280,280],[5,12,"u","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[5,12,"u","(2,2,2,2,2,2)",132,106,"exact",106,106],[5,12,"u","(2,2,2,2,2,1,1)",297,246,"exact",246,246],[5,12,"u","(2,2,2,2,1,1,1,1)",275,240,"exact",240,240],[5,12,"u","(2,2,2,1,1,1,1,1,1)",154,144,"exact",144,144],[5,12,"u","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[5,12,"u","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[5,12,"u","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,13,"u","(13)",1,0,"exact",0,0],[5,13,"u","(12,1)",12,0,"exact",0,0],[5,13,"u","(11,2)",65,0,"exact",0,0],[5,13,"u","(11,1,1)",66,0,"exact",0,0],[5,13,"u","(10,3)",208,0,"exact",0,0],[5,13,"u","(10,2,1)",429,0,"exact",0,0],[5,13,"u","(10,1,1,1)",220,0,"exact",0,0],[5,13,"u","(9,4)",429,0,"exact",0,0],[5,13,"u","(9,3,1)",1365,0,"exact",0,0],[5,13,"u","(9,2,2)",936,0,"exact",0,0],[5,13,"u","(9,2,1,1)",1430,0,"exact",0,0],[5,13,"u","(9,1,1,1,1)",495,0,"exact",0,0],[5,13,"u","(8,5)",572,56,"exact",56,56],[5,13,"u","(8,4,1)",2574,224,"exact",224,224],[5,13,"u","(8,3,2)",3432,280,"exact",280,280],[5,13,"u","(8,3,1,1)",4212,336,"exact",336,336],[5,13,"u","(8,2,2,1)",3640,280,"exact",280,280],[5,13,"u","(8,2,1,1,1)",3003,224,"exact",224,224],[5,13,"u","(8,1,1,1,1,1)",792,56,"exact",56,56],[5,13,"u","(7,6)",429,77,"exact",77,77],[5,13,"u","(7,5,1)",2860,560,"exact",560,560],[5,13,"u","(7,4,2)",6006,1218,"exact",1218,1218],[5,13,"u","(7,4,1,1)",6864,1470,"exact",1470,1470],[5,13,"u","(7,3,3)",3575,735,"exact",735,735],[5,13,"u","(7,3,2,1)",12012,2632,"exact",2632,2632],[5,13,"u","(7,3,1,1,1)",7800,1820,"exact",1820,1820],[5,13,"u","(7,2,2,2)",4004,910,"exact",910,910],[5,13,"u","(7,2,2,1,1)",7371,1743,"exact",1743,1743],[5,13,"u","(7,2,1,1,1,1)",4290,1085,"exact",1085,1085],[5,13,"u","(7,1,1,1,1,1,1)",924,252,"exact",252,252],[5,13,"u","(6,6,1)",1287,331,"exact",331,331],[5,13,"u","(6,5,2)",5148,1524,"exact",1524,1524],[5,13,"u","(6,5,1,1)",5720,1780,"exact",1780,1780],[5,13,"u","(6,4,3)",6435,2055,"exact",2055,2055],[5,13,"u","(6,4,2,1)",17160,5940,"exact",5940,5940],[5,13,"u","(6,4,1,1,1)",10296,3810,"exact",3810,3810],[5,13,"u","(6,3,3,1)",11440,4160,"exact",4160,4160],[5,13,"u","(6,3,2,2)",12012,4616,"exact",4616,4616],[5,13,"u","(6,3,2,1,1)",20592,8220,"exact",8220,8220],[5,13,"u","(6,3,1,1,1,1)",9360,4060,"exact",4060,4060],[5,13,"u","(6,2,2,2,1)",9009,3879,"exact",3879,3879],[5,13,"u","(6,2,2,1,1,1)",9360,4260,"exact",4260,4260],[5,13,"u","(6,2,1,1,1,1,1)",4290,2155,"exact",2155,2155],[5,13,"u","(6,1,1,1,1,1,1,1)",792,456,"exact",456,456],[5,13,"u","(5,5,3)",3432,1316,"exact",1316,1316],[5,13,"u","(5,5,2,1)",8580,3540,"exact",3540,3540],[5,13,"u","(5,5,1,1,1)",5005,2195,"exact",2195,2195],[5,13,"u","(5,4,4)",2574,1062,"exact",1062,1062],[5,13,"u","(5,4,3,1)",15015,6895,"exact",6895,6895],[5,13,"u","(5,4,2,2)",12870,6210,"exact",6210,6210],[5,13,"u","(5,4,2,1,1)",21450,10740,"exact",10740,10740],[5,13,"u","(5,4,1,1,1,1)",9009,4855,"exact",4855,4855],[5,13,"u","(5,3,3,2)",11583,5979,"exact",5979,5979],[5,13,"u","(5,3,3,1,1)",16016,8568,"exact",8568,8568],[5,13,"u","(5,3,2,2,1)",21450,12040,"exact",12040,12040],[5,13,"u","(5,3,2,1,1,1)",20592,12172,"exact",12172,12172],[5,13,"u","(5,3,1,1,1,1,1)",7371,4743,"exact",4743,4743],[5,13,"u","(5,2,2,2,2)",5005,3095,"exact",3095,3095],[5,13,"u","(5,2,2,2,1,1)",10296,6586,"exact",6586,6586],[5,13,"u","(5,2,2,1,1,1,1)",7800,5320,"exact",5320,5320],[5,13,"u","(5,2,1,1,1,1,1,1)",3003,2254,"exact",2254,2254],[5,13,"u","(5,1,1,1,1,1,1,1,1)",495,425,"exact",425,425],[5,13,"u","(4,4,4,1)",3432,1836,"exact",1836,1836],[5,13,"u","(4,4,3,2)",8580,4940,"exact",4940,4940],[5,13,"u","(4,4,3,1,1)",11583,6909,"exact",6909,6909],[5,13,"u","(4,4,2,2,1)",12870,8010,"exact",8010,8010],[5,13,"u","(4,4,2,1,1,1)",12012,7836,"exact",7836,7836],[5,13,"u","(4,4,1,1,1,1,1)",4004,2814,"exact",2814,2814],[5,13,"u","(4,3,3,3)",3432,2156,"exact",2156,2156],[5,13,"u","(4,3,3,2,1)",15015,9965,"exact",9965,9965],[5,13,"u","(4,3,3,1,1,1)",11440,7960,"exact",7960,7960],[5,13,"u","(4,3,2,2,2)",8580,6040,"exact",6040,6040],[5,13,"u","(4,3,2,2,1,1)",17160,12420,"exact",12420,12420],[5,13,"u","(4,3,2,1,1,1,1)",12012,9180,"exact",9180,9180],[5,13,"u","(4,3,1,1,1,1,1,1)",3640,3000,"exact",3000,3000],[5,13,"u","(4,2,2,2,2,1)",5720,4500,"exact",4500,4500],[5,13,"u","(4,2,2,2,1,1,1)",6864,5594,"exact",5594,5594],[5,13,"u","(4,2,2,1,1,1,1,1)",4212,3636,"exact",3636,3636],[5,13,"u","(4,2,1,1,1,1,1,1,1)",1430,1325,"exact",1325,1325],[5,13,"u","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[5,13,"u","(3,3,3,3,1)",2574,1917,"exact",1917,1917],[5,13,"u","(3,3,3,2,2)",3432,2646,"exact",2646,2646],[5,13,"u","(3,3,3,2,1,1)",6435,5080,"exact",5080,5080],[5,13,"u","(3,3,3,1,1,1,1)",3575,2960,"exact",2960,2960],[5,13,"u","(3,3,2,2,2,1)",5148,4264,"exact",4264,4264],[5,13,"u","(3,3,2,2,1,1,1)",6006,5128,"exact",5128,5128],[5,13,"u","(3,3,2,1,1,1,1,1)",3432,3072,"exact",3072,3072],[5,13,"u","(3,3,1,1,1,1,1,1,1)",936,886,"exact",886,886],[5,13,"u","(3,2,2,2,2,2)",1287,1146,"exact",1146,1146],[5,13,"u","(3,2,2,2,2,1,1)",2860,2590,"exact",2590,2590],[5,13,"u","(3,2,2,2,1,1,1,1)",2574,2400,"exact",2400,2400],[5,13,"u","(3,2,2,1,1,1,1,1,1)",1365,1320,"exact",1320,1320],[5,13,"u","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[5,13,"u","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[5,13,"u","(2,2,2,2,2,2,1)",429,412,"exact",412,412],[5,13,"u","(2,2,2,2,2,1,1,1)",572,556,"exact",556,556],[5,13,"u","(2,2,2,2,1,1,1,1,1)",429,424,"exact",424,424],[5,13,"u","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[5,13,"u","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[5,13,"u","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[5,13,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,14,"u","(14)",1,0,"exact",0,0],[5,14,"u","(13,1)",13,0,"exact",0,0],[5,14,"u","(12,2)",77,0,"exact",0,0],[5,14,"u","(12,1,1)",78,0,"exact",0,0],[5,14,"u","(11,3)",273,0,"exact",0,0],[5,14,"u","(11,2,1)",560,0,"exact",0,0],[5,14,"u","(11,1,1,1)",286,0,"exact",0,0],[5,14,"u","(10,4)",637,0,"exact",0,0],[5,14,"u","(10,3,1)",2002,0,"exact",0,0],[5,14,"u","(10,2,2)",1365,0,"exact",0,0],[5,14,"u","(10,2,1,1)",2079,0,"exact",0,0],[5,14,"u","(10,1,1,1,1)",715,0,"exact",0,0],[5,14,"u","(9,5)",1001,126,"exact",126,126],[5,14,"u","(9,4,1)",4368,504,"exact",504,504],[5,14,"u","(9,3,2)",5733,630,"exact",630,630],[5,14,"u","(9,3,1,1)",7007,756,"exact",756,756],[5,14,"u","(9,2,2,1)",6006,630,"exact",630,630],[5,14,"u","(9,2,1,1,1)",4928,504,"exact",504,504],[5,14,"u","(9,1,1,1,1,1)",1287,126,"exact",126,126],[5,14,"u","(8,6)",1001,238,"exact",238,238],[5,14,"u","(8,5,1)",6006,1540,"exact",1540,1540],[5,14,"u","(8,4,2)",12012,3192,"exact",3192,3192],[5,14,"u","(8,4,1,1)",13650,3780,"exact",3780,3780],[5,14,"u","(8,3,3)",7007,1890,"exact",1890,1890],[5,14,"u","(8,3,2,1)",23296,6608,"exact",6608,6608],[5,14,"u","(8,3,1,1,1)",15015,4480,"exact",4480,4480],[5,14,"u","(8,2,2,2)",7644,2240,"exact",2240,2240],[5,14,"u","(8,2,2,1,1)",14014,4242,"exact",4242,4242],[5,14,"u","(8,2,1,1,1,1)",8085,2590,"exact",2590,2590],[5,14,"u","(8,1,1,1,1,1,1)",1716,588,"exact",588,588],[5,14,"u","(7,7)",429,127,"exact",127,127],[5,14,"u","(7,6,1)",4576,1588,"exact",1588,1588],[5,14,"u","(7,5,2)",14014,5432,"exact",5432,5432],[5,14,"u","(7,5,1,1)",15444,6210,"exact",6210,6210],[5,14,"u","(7,4,3)",16016,6608,"exact",6608,6608],[5,14,"u","(7,4,2,1)",42042,18410,"exact",18410,18410],[5,14,"u","(7,4,1,1,1)",24960,11500,"exact",11500,11500],[5,14,"u","(7,3,3,1)",27027,12327,"exact",12327,12327],[5,14,"u","(7,3,2,2)",28028,13328,"exact",13328,13328],[5,14,"u","(7,3,2,1,1)",47775,23415,"exact",23415,23415],[5,14,"u","(7,3,1,1,1,1)",21450,11215,"exact",11215,11215],[5,14,"u","(7,2,2,2,1)",20384,10612,"exact",10612,10612],[5,14,"u","(7,2,2,1,1,1)",21021,11438,"exact",11438,11438],[5,14,"u","(7,2,1,1,1,1,1)",9504,5592,"exact",5592,5592],[5,14,"u","(7,1,1,1,1,1,1,1)",1716,1128,"exact",1128,1128],[5,14,"u","(6,6,2)",6435,2880,"exact",2880,2880],[5,14,"u","(6,6,1,1)",7007,3241,"exact",3241,3241],[5,14,"u","(6,5,3)",15015,7520,"exact",7520,7520],[5,14,"u","(6,5,2,1)",36608,19304,"exact",19304,19304],[5,14,"u","(6,5,1,1,1)",21021,11585,"exact",11585,11585],[5,14,"u","(6,4,4)",9009,4767,"exact",4767,4767],[5,14,"u","(6,4,3,1)",50050,28550,"exact",28550,28550],[5,14,"u","(6,4,2,2)",42042,24846,"exact",24846,24846],[5,14,"u","(6,4,2,1,1)",69498,42210,"exact",42210,42210],[5,14,"u","(6,4,1,1,1,1)",28665,18375,"exact",18375,18375],[5,14,"u","(6,3,3,2)",35035,21755,"exact",21755,21755],[5,14,"u","(6,3,3,1,1)",48048,30648,"exact",30648,30648],[5,14,"u","(6,3,2,2,1)",63063,41655,"exact",41655,41655],[5,14,"u","(6,3,2,1,1,1)",59904,41112,"exact",41112,41112],[5,14,"u","(6,3,1,1,1,1,1)",21021,15358,"exact",15358,15358],[5,14,"u","(6,2,2,2,2)",14014,9944,"exact",9944,9944],[5,14,"u","(6,2,2,2,1,1)",28665,20850,"exact",20850,20850],[5,14,"u","(6,2,2,1,1,1,1)",21450,16360,"exact",16360,16360],[5,14,"u","(6,2,1,1,1,1,1,1)",8085,6615,"exact",6615,6615],[5,14,"u","(6,1,1,1,1,1,1,1,1)",1287,1161,"exact",1161,1161],[5,14,"u","(5,5,4)",6006,3503,"exact",3503,3503],[5,14,"u","(5,5,3,1)",27027,16851,"exact",16851,16851],[5,14,"u","(5,5,2,2)",21450,13800,"exact",13800,13800],[5,14,"u","(5,5,2,1,1)",35035,23105,"exact",23105,23105],[5,14,"u","(5,5,1,1,1,1)",14014,9695,"exact",9695,9695],[5,14,"u","(5,4,4,1)",21021,13873,"exact",13873,13873],[5,14,"u","(5,4,3,2)",48048,33324,"exact",33324,33324],[5,14,"u","(5,4,3,1,1)",64064,45532,"exact",45532,45532],[5,14,"u","(5,4,2,2,1)",68640,50220,"exact",50220,50220],[5,14,"u","(5,4,2,1,1,1)",63063,47658,"exact",47658,47658],[5,14,"u","(5,4,1,1,1,1,1)",20384,16212,"exact",16212,16212],[5,14,"u","(5,3,3,3)",15015,11045,"exact",11045,11045],[5,14,"u","(5,3,3,2,1)",64064,48932,"exact",48932,48932],[5,14,"u","(5,3,3,1,1,1)",48048,37900,"exact",37900,37900],[5,14,"u","(5,3,2,2,2)",35035,27855,"exact",27855,27855],[5,14,"u","(5,3,2,2,1,1)",69498,56313,"exact",56313,56313],[5,14,"u","(5,3,2,1,1,1,1)",47775,40165,"exact",40165,40165],[5,14,"u","(5,3,1,1,1,1,1,1)",14014,12397,"exact",12397,12397],[5,14,"u","(5,2,2,2,2,1)",21021,18011,"exact",18011,18011],[5,14,"u","(5,2,2,2,1,1,1)",24960,21900,"exact",21900,21900],[5,14,"u","(5,2,2,1,1,1,1,1)",15015,13685,"exact",13685,13685],[5,14,"u","(5,2,1,1,1,1,1,1,1)",4928,4704,"exact",4704,4704],[5,14,"u","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[5,14,"u","(4,4,4,2)",12012,9026,"exact",9026,9026],[5,14,"u","(4,4,4,1,1)",15015,11545,"exact",11545,11545],[5,14,"u","(4,4,3,3)",12012,9306,"exact",9306,9306],[5,14,"u","(4,4,3,2,1)",48048,38504,"exact",38504,38504],[5,14,"u","(4,4,3,1,1,1)",35035,28880,"exact",28880,28880],[5,14,"u","(4,4,2,2,2)",21450,17800,"exact",17800,17800],[5,14,"u","(4,4,2,2,1,1)",42042,35466,"exact",35466,35466],[5,14,"u","(4,4,2,1,1,1,1)",28028,24400,"exact",24400,24400],[5,14,"u","(4,4,1,1,1,1,1,1)",7644,6944,"exact",6944,6944],[5,14,"u","(4,3,3,3,1)",21021,17653,"exact",17653,17653],[5,14,"u","(4,3,3,2,2)",27027,23181,"exact",23181,23181],[5,14,"u","(4,3,3,2,1,1)",50050,43575,"exact",43575,43575],[5,14,"u","(4,3,3,1,1,1,1)",27027,24225,"exact",24225,24225],[5,14,"u","(4,3,2,2,2,1)",36608,32824,"exact",32824,32824],[5,14,"u","(4,3,2,2,1,1,1)",42042,38402,"exact",38402,38402],[5,14,"u","(4,3,2,1,1,1,1,1)",23296,21888,"exact",21888,21888],[5,14,"u","(4,3,1,1,1,1,1,1,1)",6006,5831,"exact",5831,5831],[5,14,"u","(4,2,2,2,2,2)",7007,6561,"exact",6561,6561],[5,14,"u","(4,2,2,2,2,1,1)",15444,14604,"exact",14604,14604],[5,14,"u","(4,2,2,2,1,1,1,1)",13650,13130,"exact",13130,13130],[5,14,"u","(4,2,2,1,1,1,1,1,1)",7007,6881,"exact",6881,6881],[5,14,"u","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[5,14,"u","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[5,14,"u","(3,3,3,3,2)",6006,5423,"exact",5423,5423],[5,14,"u","(3,3,3,3,1,1)",9009,8232,"exact",8232,8232],[5,14,"u","(3,3,3,2,2,1)",15015,13920,"exact",13920,13920],[5,14,"u","(3,3,3,2,1,1,1)",16016,15068,"exact",15068,15068],[5,14,"u","(3,3,3,1,1,1,1,1)",7007,6732,"exact",6732,6732],[5,14,"u","(3,3,2,2,2,2)",6435,6120,"exact",6120,6120],[5,14,"u","(3,3,2,2,2,1,1)",14014,13432,"exact",13432,13432],[5,14,"u","(3,3,2,2,1,1,1,1)",12012,11670,"exact",11670,11670],[5,14,"u","(3,3,2,1,1,1,1,1,1)",5733,5658,"exact",5658,5658],[5,14,"u","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[5,14,"u","(3,2,2,2,2,2,1)",4576,4488,"exact",4488,4488],[5,14,"u","(3,2,2,2,2,1,1,1)",6006,5926,"exact",5926,5926],[5,14,"u","(3,2,2,2,1,1,1,1,1)",4368,4344,"exact",4344,4344],[5,14,"u","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[5,14,"u","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[5,14,"u","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[5,14,"u","(2,2,2,2,2,2,2)",429,427,"exact",427,427],[5,14,"u","(2,2,2,2,2,2,1,1)",1001,998,"exact",998,998],[5,14,"u","(2,2,2,2,2,1,1,1,1)",1001,1000,"exact",1000,1000],[5,14,"u","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[5,14,"u","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[5,14,"u","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[5,14,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[5,14,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,15,"u","(15)",1,0,"exact",0,0],[5,15,"u","(14,1)",14,0,"exact",0,0],[5,15,"u","(13,2)",90,0,"exact",0,0],[5,15,"u","(13,1,1)",91,0,"exact",0,0],[5,15,"u","(12,3)",350,0,"exact",0,0],[5,15,"u","(12,2,1)",715,0,"exact",0,0],[5,15,"u","(12,1,1,1)",364,0,"exact",0,0],[5,15,"u","(11,4)",910,0,"exact",0,0],[5,15,"u","(11,3,1)",2835,0,"exact",0,0],[5,15,"u","(11,2,2)",1925,0,"exact",0,0],[5,15,"u","(11,2,1,1)",2925,0,"exact",0,0],[5,15,"u","(11,1,1,1,1)",1001,0,"exact",0,0],[5,15,"u","(10,5)",1638,252,"exact",252,252],[5,15,"u","(10,4,1)",7007,1008,"exact",1008,1008],[5,15,"u","(10,3,2)",9100,1260,"exact",1260,1260],[5,15,"u","(10,3,1,1)",11088,1512,"exact",1512,1512],[5,15,"u","(10,2,2,1)",9450,1260,"exact",1260,1260],[5,15,"u","(10,2,1,1,1)",7722,1008,"exact",1008,1008],[5,15,"u","(10,1,1,1,1,1)",2002,252,"exact",252,252],[5,15,"u","(9,6)",2002,588,"exact",588,588],[5,15,"u","(9,5,1)",11375,3570,"exact",3570,3570],[5,15,"u","(9,4,2)",22113,7182,"exact",7182,7182],[5,15,"u","(9,4,1,1)",25025,8400,"exact",8400,8400],[5,15,"u","(9,3,3)",12740,4200,"exact",4200,4200],[5,15,"u","(9,3,2,1)",42042,14448,"exact",14448,14448],[5,15,"u","(9,3,1,1,1)",26950,9660,"exact",9660,9660],[5,15,"u","(9,2,2,2)",13650,4830,"exact",4830,4830],[5,15,"u","(9,2,2,1,1)",24948,9072,"exact",9072,9072],[5,15,"u","(9,2,1,1,1,1)",14300,5460,"exact",5460,5460],[5,15,"u","(9,1,1,1,1,1,1)",3003,1218,"exact",1218,1218],[5,15,"u","(8,7)",1430,540,"exact",540,540],[5,15,"u","(8,6,1)",11583,4962,"exact",4962,4962],[5,15,"u","(8,5,2)",32032,15008,"exact",15008,15008],[5,15,"u","(8,5,1,1)",35100,16920,"exact",16920,16920],[5,15,"u","(8,4,3)",35035,17290,"exact",17290,17290],[5,15,"u","(8,4,2,1)",91000,47040,"exact",47040,47040],[5,15,"u","(8,4,1,1,1)",53625,28860,"exact",28860,28860],[5,15,"u","(8,3,3,1)",57330,30660,"exact",30660,30660],[5,15,"u","(8,3,2,2)",58968,32592,"exact",32592,32592],[5,15,"u","(8,3,2,1,1)",100100,56700,"exact",56700,56700],[5,15,"u","(8,3,1,1,1,1)",44550,26580,"exact",26580,26580],[5,15,"u","(8,2,2,2,1)",42042,25018,"exact",25018,25018],[5,15,"u","(8,2,2,1,1,1)",43120,26600,"exact",26600,26600],[5,15,"u","(8,2,1,1,1,1,1)",19305,12690,"exact",12690,12690],[5,15,"u","(8,1,1,1,1,1,1,1)",3432,2472,"exact",2472,2472],[5,15,"u","(7,7,1)",5005,2415,"exact",2415,2415],[5,15,"u","(7,6,2)",25025,13720,"exact",13720,13720],[5,15,"u","(7,6,1,1)",27027,15183,"exact",15183,15183],[5,15,"u","(7,5,3)",45045,26880,"exact",26880,26880],[5,15,"u","(7,5,2,1)",108108,67032,"exact",67032,67032],[5,15,"u","(7,5,1,1,1)",61425,39375,"exact",39375,39375],[5,15,"u","(7,4,4)",25025,15575,"exact",15575,15575],[5,15,"u","(7,4,3,1)",135135,88935,"exact",88935,88935],[5,15,"u","(7,4,2,2)",112112,75768,"exact",75768,75768],[5,15,"u","(7,4,2,1,1)",184275,127155,"exact",127155,127155],[5,15,"u","(7,4,1,1,1,1)",75075,53970,"exact",53970,53970],[5,15,"u","(7,3,3,2)",90090,63210,"exact",63210,63210],[5,15,"u","(7,3,3,1,1)",122850,87990,"exact",87990,87990],[5,15,"u","(7,3,2,2,1)",159250,117110,"exact",117110,117110],[5,15,"u","(7,3,2,1,1,1)",150150,113680,"exact",113680,113680],[5,15,"u","(7,3,1,1,1,1,1)",51975,41265,"exact",41265,41265],[5,15,"u","(7,2,2,2,2)",34398,26712,"exact",26712,26712],[5,15,"u","(7,2,2,2,1,1)",70070,55440,"exact",55440,55440],[5,15,"u","(7,2,2,1,1,1,1)",51975,42630,"exact",42630,42630],[5,15,"u","(7,2,1,1,1,1,1,1)",19305,16695,"exact",16695,16695],[5,15,"u","(7,1,1,1,1,1,1,1,1)",3003,2793,"exact",2793,2793],[5,15,"u","(6,6,3)",21450,13800,"exact",13800,13800],[5,15,"u","(6,6,2,1)",50050,33320,"exact",33320,33320],[5,15,"u","(6,6,1,1,1)",28028,19222,"exact",19222,19222],[5,15,"u","(6,5,4)",30030,20670,"exact",20670,20670],[5,15,"u","(6,5,3,1)",128700,92850,"exact",92850,92850],[5,15,"u","(6,5,2,2)",100100,73840,"exact",73840,73840],[5,15,"u","(6,5,2,1,1)",162162,121758,"exact",121758,121758],[5,15,"u","(6,5,1,1,1,1)",63700,49490,"exact",49490,49490],[5,15,"u","(6,4,4,1)",80080,60100,"exact",60100,60100],[5,15,"u","(6,4,3,2)",175175,136175,"exact",136175,136175],[5,15,"u","(6,4,3,1,1)",231660,183240,"exact",183240,183240],[5,15,"u","(6,4,2,2,1)",243243,196407,"exact",196407,196407],[5,15,"u","(6,4,2,1,1,1)",221130,182700,"exact",182700,182700],[5,15,"u","(6,4,1,1,1,1,1)",70070,60025,"exact",60025,60025],[5,15,"u","(6,3,3,3)",50050,40550,"exact",40550,40550],[5,15,"u","(6,3,3,2,1)",210210,174890,"exact",174890,174890],[5,15,"u","(6,3,3,1,1,1)",156000,132760,"exact",132760,132760],[5,15,"u","(6,3,2,2,2)",112112,95948,"exact",95948,95948],[5,15,"u","(6,3,2,2,1,1)",221130,191790,"exact",191790,191790],[5,15,"u","(6,3,2,1,1,1,1)",150150,133630,"exact",133630,133630],[5,15,"u","(6,3,1,1,1,1,1,1)",43120,39760,"exact",39760,39760],[5,15,"u","(6,2,2,2,2,1)",63700,57430,"exact",57430,57430],[5,15,"u","(6,2,2,2,1,1,1)",75075,68810,"exact",68810,68810],[5,15,"u","(6,2,2,1,1,1,1,1)",44550,41910,"exact",41910,41910],[5,15,"u","(6,2,1,1,1,1,1,1,1)",14300,13880,"exact",13880,13880],[5,15,"u","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[5,15,"u","(5,5,5)",6006,4455,"exact",4455,4455],[5,15,"u","(5,5,4,1)",54054,42420,"exact",42420,42420],[5,15,"u","(5,5,3,2)",96525,78135,"exact",78135,78135],[5,15,"u","(5,5,3,1,1)",126126,103680,"exact",103680,103680],[5,15,"u","(5,5,2,2,1)",125125,104725,"exact",104725,104725],[5,15,"u","(5,5,2,1,1,1)",112112,95732,"exact",95732,95732],[5,15,"u","(5,5,1,1,1,1,1)",34398,30303,"exact",30303,30303],[5,15,"u","(5,4,4,2)",81081,67695,"exact",67695,67695],[5,15,"u","(5,4,4,1,1)",100100,84830,"exact",84830,84830],[5,15,"u","(5,4,3,3)",75075,63955,"exact",63955,63955],[5,15,"u","(5,4,3,2,1)",292864,255040,"exact",255040,255040],[5,15,"u","(5,4,3,1,1,1)",210210,186450,"exact",186450,186450],[5,15,"u","(5,4,2,2,2)",125125,111475,"exact",111475,111475],[5,15,"u","(5,4,2,2,1,1)",243243,219033,"exact",219033,219033],[5,15,"u","(5,4,2,1,1,1,1)",159250,146335,"exact",146335,146335],[5,15,"u","(5,4,1,1,1,1,1,1)",42042,39697,"exact",39697,39697],[5,15,"u","(5,3,3,3,1)",100100,89830,"exact",89830,89830],[5,15,"u","(5,3,3,2,2)",126126,114720,"exact",114720,114720],[5,15,"u","(5,3,3,2,1,1)",231660,212760,"exact",212760,212760],[5,15,"u","(5,3,3,1,1,1,1)",122850,114930,"exact",114930,114930],[5,15,"u","(5,3,2,2,2,1)",162162,151752,"exact",151752,151752],[5,15,"u","(5,3,2,2,1,1,1)",184275,174480,"exact",174480,174480],[5,15,"u","(5,3,2,1,1,1,1,1)",100100,96460,"exact",96460,96460],[5,15,"u","(5,3,1,1,1,1,1,1,1)",24948,24528,"exact",24528,24528],[5,15,"u","(5,2,2,2,2,2)",28028,26948,"exact",26948,26948],[5,15,"u","(5,2,2,2,2,1,1)",61425,59415,"exact",59415,59415],[5,15,"u","(5,2,2,2,1,1,1,1)",53625,52415,"exact",52415,52415],[5,15,"u","(5,2,2,1,1,1,1,1,1)",26950,26670,"exact",26670,26670],[5,15,"u","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[5,15,"u","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[5,15,"u","(4,4,4,3)",24024,21260,"exact",21260,21260],[5,15,"u","(4,4,4,2,1)",75075,67695,"exact",67695,67695],[5,15,"u","(4,4,4,1,1,1)",50050,45820,"exact",45820,45820],[5,15,"u","(4,4,3,3,1)",81081,74235,"exact",74235,74235],[5,15,"u","(4,4,3,2,2)",96525,89385,"exact",89385,89385],[5,15,"u","(4,4,3,2,1,1)",175175,163565,"exact",163565,163565],[5,15,"u","(4,4,3,1,1,1,1)",90090,85425,"exact",85425,85425],[5,15,"u","(4,4,2,2,2,1)",100100,94940,"exact",94940,94940],[5,15,"u","(4,4,2,2,1,1,1)",112112,107372,"exact",107372,107372],[5,15,"u","(4,4,2,1,1,1,1,1)",58968,57288,"exact",57288,57288],[5,15,"u","(4,4,1,1,1,1,1,1,1)",13650,13475,"exact",13475,13475],[5,15,"u","(4,3,3,3,2)",54054,51090,"exact",51090,51090],[5,15,"u","(4,3,3,3,1,1)",80080,76220,"exact",76220,76220],[5,15,"u","(4,3,3,2,2,1)",128700,123510,"exact",123510,123510],[5,15,"u","(4,3,3,2,1,1,1)",135135,130770,"exact",130770,130770],[5,15,"u","(4,3,3,1,1,1,1,1)",57330,56130,"exact",56130,56130],[5,15,"u","(4,3,2,2,2,2)",50050,48730,"exact",48730,48730],[5,15,"u","(4,3,2,2,2,1,1)",108108,105708,"exact",105708,105708],[5,15,"u","(4,3,2,2,1,1,1,1)",91000,89640,"exact",89640,89640],[5,15,"u","(4,3,2,1,1,1,1,1,1)",42042,41762,"exact",41762,41762],[5,15,"u","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[5,15,"u","(4,2,2,2,2,2,1)",27027,26757,"exact",26757,26757],[5,15,"u","(4,2,2,2,2,1,1,1)",35100,34860,"exact",34860,34860],[5,15,"u","(4,2,2,2,1,1,1,1,1)",25025,24955,"exact",24955,24955],[5,15,"u","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[5,15,"u","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[5,15,"u","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[5,15,"u","(3,3,3,3,3)",6006,5815,"exact",5815,5815],[5,15,"u","(3,3,3,3,2,1)",30030,29300,"exact",29300,29300],[5,15,"u","(3,3,3,3,1,1,1)",25025,24560,"exact",24560,24560],[5,15,"u","(3,3,3,2,2,2)",21450,21080,"exact",21080,21080],[5,15,"u","(3,3,3,2,2,1,1)",45045,44400,"exact",44400,44400],[5,15,"u","(3,3,3,2,1,1,1,1)",35035,34710,"exact",34710,34710],[5,15,"u","(3,3,3,1,1,1,1,1,1)",12740,12690,"exact",12690,12690],[5,15,"u","(3,3,2,2,2,2,1)",25025,24840,"exact",24840,24840],[5,15,"u","(3,3,2,2,2,1,1,1)",32032,31872,"exact",31872,31872],[5,15,"u","(3,3,2,2,1,1,1,1,1)",22113,22068,"exact",22068,22068],[5,15,"u","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[5,15,"u","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[5,15,"u","(3,2,2,2,2,2,2)",5005,4995,"exact",4995,4995],[5,15,"u","(3,2,2,2,2,2,1,1)",11583,11568,"exact",11568,11568],[5,15,"u","(3,2,2,2,2,1,1,1,1)",11375,11370,"exact",11370,11370],[5,15,"u","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[5,15,"u","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[5,15,"u","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[5,15,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[5,15,"u","(2,2,2,2,2,2,2,1)",1430,1430,"exact",1430,1430],[5,15,"u","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[5,15,"u","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[5,15,"u","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[5,15,"u","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[5,15,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[5,15,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[5,15,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,16,"u","(16)",1,0,"exact",0,0],[5,16,"u","(15,1)",15,0,"exact",0,0],[5,16,"u","(14,2)",104,0,"exact",0,0],[5,16,"u","(14,1,1)",105,0,"exact",0,0],[5,16,"u","(13,3)",440,0,"exact",0,0],[5,16,"u","(13,2,1)",896,0,"exact",0,0],[5,16,"u","(13,1,1,1)",455,0,"exact",0,0],[5,16,"u","(12,4)",1260,0,"exact",0,0],[5,16,"u","(12,3,1)",3900,0,"exact",0,0],[5,16,"u","(12,2,2)",2640,0,"exact",0,0],[5,16,"u","(12,2,1,1)",4004,0,"exact",0,0],[5,16,"u","(12,1,1,1,1)",1365,0,"exact",0,0],[5,16,"u","(11,5)",2548,462,"exact",462,462],[5,16,"u","(11,4,1)",10752,1848,"exact",1848,1848],[5,16,"u","(11,3,2)",13860,2310,"exact",2310,2310],[5,16,"u","(11,3,1,1)",16848,2772,"exact",2772,2772],[5,16,"u","(11,2,2,1)",14300,2310,"exact",2310,2310],[5,16,"u","(11,2,1,1,1)",11648,1848,"exact",1848,1848],[5,16,"u","(11,1,1,1,1,1)",3003,462,"exact",462,462],[5,16,"u","(10,6)",3640,1260,"exact",1260,1260],[5,16,"u","(10,5,1)",20020,7350,"exact",7350,7350],[5,16,"u","(10,4,2)",38220,14490,"exact",14490,14490],[5,16,"u","(10,4,1,1)",43120,16800,"exact",16800,16800],[5,16,"u","(10,3,3)",21840,8400,"exact",8400,8400],[5,16,"u","(10,3,2,1)",71680,28560,"exact",28560,28560],[5,16,"u","(10,3,1,1,1)",45760,18900,"exact",18900,18900],[5,16,"u","(10,2,2,2)",23100,9450,"exact",9450,9450],[5,16,"u","(10,2,2,1,1)",42120,17640,"exact",17640,17640],[5,16,"u","(10,2,1,1,1,1)",24024,10500,"exact",10500,10500],[5,16,"u","(10,1,1,1,1,1,1)",5005,2310,"exact",2310,2310],[5,16,"u","(9,7)",3432,1548,"exact",1548,1548],[5,16,"u","(9,6,1)",24960,12480,"exact",12480,12480],[5,16,"u","(9,5,2)",65520,35280,"exact",35280,35280],[5,16,"u","(9,5,1,1)",71500,39390,"exact",39390,39390],[5,16,"u","(9,4,3)",69888,39312,"exact",39312,39312],[5,16,"u","(9,4,2,1)",180180,105210,"exact",105210,105210],[5,16,"u","(9,4,1,1,1)",105600,63720,"exact",63720,63720],[5,16,"u","(9,3,3,1)",112112,67368,"exact",67368,67368],[5,16,"u","(9,3,2,2)",114660,70770,"exact",70770,70770],[5,16,"u","(9,3,2,1,1)",194040,122220,"exact",122220,122220],[5,16,"u","(9,3,1,1,1,1)",85800,56400,"exact",56400,56400],[5,16,"u","(9,2,2,2,1)",80640,52920,"exact",52920,52920],[5,16,"u","(9,2,2,1,1,1)",82368,55692,"exact",55692,55692],[5,16,"u","(9,2,1,1,1,1,1)",36608,26088,"exact",26088,26088],[5,16,"u","(9,1,1,1,1,1,1,1)",6435,4950,"exact",4950,4950],[5,16,"u","(8,8)",1430,715,"exact",715,715],[5,16,"u","(8,7,1)",18018,10297,"exact",10297,10297],[5,16,"u","(8,6,2)",68640,43280,"exact",43280,43280],[5,16,"u","(8,6,1,1)",73710,47355,"exact",47355,47355],[5,16,"u","(8,5,3)",112112,75488,"exact",75488,75488],[5,16,"u","(8,5,2,1)",266240,184640,"exact",184640,184640],[5,16,"u","(8,5,1,1,1)",150150,106855,"exact",106855,106855],[5,16,"u","(8,4,4)",60060,41790,"exact",41790,41790],[5,16,"u","(8,4,3,1)",318500,231350,"exact",231350,231350],[5,16,"u","(8,4,2,2)",262080,194320,"exact",194320,194320],[5,16,"u","(8,4,2,1,1)",429000,323280,"exact",323280,323280],[5,16,"u","(8,4,1,1,1,1)",173250,134785,"exact",134785,134785],[5,16,"u","(8,3,3,2)",206388,157542,"exact",157542,157542],[5,16,"u","(8,3,3,1,1)",280280,217420,"exact",217420,217420],[5,16,"u","(8,3,2,2,1)",360360,285320,"exact",285320,285320],[5,16,"u","(8,3,2,1,1,1)",337920,273680,"exact",273680,273680],[5,16,"u","(8,3,1,1,1,1,1)",115830,97335,"exact",97335,97335],[5,16,"u","(8,2,2,2,2)",76440,63140,"exact",63140,63140],[5,16,"u","(8,2,2,2,1,1)",155232,130088,"exact",130088,130088],[5,16,"u","(8,2,2,1,1,1,1)",114400,98580,"exact",98580,98580],[5,16,"u","(8,2,1,1,1,1,1,1)",42042,37737,"exact",37737,37737],[5,16,"u","(8,1,1,1,1,1,1,1,1)",6435,6105,"exact",6105,6105],[5,16,"u","(7,7,2)",30030,20160,"exact",20160,20160],[5,16,"u","(7,7,1,1)",32032,21868,"exact",21868,21868],[5,16,"u","(7,6,3)",91520,66760,"exact",66760,66760],[5,16,"u","(7,6,2,1)",210210,157220,"exact",157220,157220],[5,16,"u","(7,6,1,1,1)",116480,89040,"exact",89040,89040],[5,16,"u","(7,5,4)",100100,76650,"exact",76650,76650],[5,16,"u","(7,5,3,1)",416988,330462,"exact",330462,330462],[5,16,"u","(7,5,2,2)",320320,258020,"exact",258020,258020],[5,16,"u","(7,5,2,1,1)",515970,421050,"exact",421050,421050],[5,16,"u","(7,5,1,1,1,1)",200200,167510,"exact",167510,167510],[5,16,"u","(7,4,4,1)",240240,195860,"exact",195860,195860],[5,16,"u","(7,4,3,2)",512512,428708,"exact",428708,428708],[5,16,"u","(7,4,3,1,1)",673920,570900,"exact",570900,570900],[5,16,"u","(7,4,2,2,1)",698880,601020,"exact",601020,601020],[5,16,"u","(7,4,2,1,1,1)",630630,551460,"exact",551460,551460],[5,16,"u","(7,4,1,1,1,1,1)",197120,176960,"exact",176960,176960],[5,16,"u","(7,3,3,3)",140140,120785,"exact",120785,120785],[5,16,"u","(7,3,3,2,1)",582400,511700,"exact",511700,511700],[5,16,"u","(7,3,3,1,1,1)",429000,383130,"exact",383130,383130],[5,16,"u","(7,3,2,2,2)",305760,274190,"exact",274190,274190],[5,16,"u","(7,3,2,2,1,1)",600600,543795,"exact",543795,543795],[5,16,"u","(7,3,2,1,1,1,1)",404250,372855,"exact",372855,372855],[5,16,"u","(7,3,1,1,1,1,1,1)",114400,108220,"exact",108220,108220],[5,16,"u","(7,2,2,2,2,1)",168168,156527,"exact",156527,156527],[5,16,"u","(7,2,2,2,1,1,1)",197120,185640,"exact",185640,185640],[5,16,"u","(7,2,2,1,1,1,1,1)",115830,111105,"exact",111105,111105],[5,16,"u","(7,2,1,1,1,1,1,1,1)",36608,35888,"exact",35888,35888],[5,16,"u","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[5,16,"u","(6,6,4)",51480,40960,"exact",40960,40960],[5,16,"u","(6,6,3,1)",200200,164220,"exact",164220,164220],[5,16,"u","(6,6,2,2)",150150,124950,"exact",124950,124950],[5,16,"u","(6,6,2,1,1)",240240,202230,"exact",202230,202230],[5,16,"u","(6,6,1,1,1,1)",91728,78932,"exact",78932,78932],[5,16,"u","(6,5,5)",36036,29550,"exact",29550,29550],[5,16,"u","(6,5,4,1)",292864,249640,"exact",249640,249640],[5,16,"u","(6,5,3,2)",500500,435800,"exact",435800,435800],[5,16,"u","(6,5,3,1,1)",648648,570738,"exact",570738,570738],[5,16,"u","(6,5,2,2,1)",630630,561750,"exact",561750,561750],[5,16,"u","(6,5,2,1,1,1)",559104,504840,"exact",504840,504840],[5,16,"u","(6,5,1,1,1,1,1)",168168,155078,"exact",155078,155078],[5,16,"u","(6,4,4,2)",336336,298910,"exact",298910,298910],[5,16,"u","(6,4,4,1,1)",411840,369690,"exact",369690,369690],[5,16,"u","(6,4,3,3)",300300,270555,"exact",270555,270555],[5,16,"u","(6,4,3,2,1)",1153152,1054392,"exact",1054392,1054392],[5,16,"u","(6,4,3,1,1,1)",819000,758100,"exact",758100,758100],[5,16,"u","(6,4,2,2,2)",480480,446100,"exact",446100,446100],[5,16,"u","(6,4,2,2,1,1)",928746,868455,"exact",868455,868455],[5,16,"u","(6,4,2,1,1,1,1)",600600,569205,"exact",569205,569205],[5,16,"u","(6,4,1,1,1,1,1,1)",155232,149772,"exact",149772,149772],[5,16,"u","(6,3,3,3,1)",360360,336120,"exact",336120,336120],[5,16,"u","(6,3,3,2,2)",448448,422018,"exact",422018,422018],[5,16,"u","(6,3,3,2,1,1)",819000,775700,"exact",775700,775700],[5,16,"u","(6,3,3,1,1,1,1)",429000,411270,"exact",411270,411270],[5,16,"u","(6,3,2,2,2,1)",559104,536120,"exact",536120,536120],[5,16,"u","(6,3,2,2,1,1,1)",630630,609350,"exact",609350,609350],[5,16,"u","(6,3,2,1,1,1,1,1)",337920,330240,"exact",330240,330240],[5,16,"u","(6,3,1,1,1,1,1,1,1)",82368,81528,"exact",81528,81528],[5,16,"u","(6,2,2,2,2,2)",91728,89508,"exact",89508,89508],[5,16,"u","(6,2,2,2,2,1,1)",200200,196105,"exact",196105,196105],[5,16,"u","(6,2,2,2,1,1,1,1)",173250,170835,"exact",170835,170835],[5,16,"u","(6,2,2,1,1,1,1,1,1)",85800,85260,"exact",85260,85260],[5,16,"u","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[5,16,"u","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[5,16,"u","(5,5,5,1)",60060,53010,"exact",53010,53010],[5,16,"u","(5,5,4,2)",231660,209850,"exact",209850,209850],[5,16,"u","(5,5,4,1,1)",280280,256100,"exact",256100,256100],[5,16,"u","(5,5,3,3)",171600,157300,"exact",157300,157300],[5,16,"u","(5,5,3,2,1)",640640,594780,"exact",594780,594780],[5,16,"u","(5,5,3,1,1,1)",448448,420742,"exact",420742,420742],[5,16,"u","(5,5,2,2,2)",250250,235400,"exact",235400,235400],[5,16,"u","(5,5,2,2,1,1)",480480,454720,"exact",454720,454720],[5,16,"u","(5,5,2,1,1,1,1)",305760,292670,"exact",292670,292670],[5,16,"u","(5,5,1,1,1,1,1,1)",76440,74270,"exact",74270,74270],[5,16,"u","(5,4,4,3)",180180,167565,"exact",167565,167565],[5,16,"u","(5,4,4,2,1)",549120,516580,"exact",516580,516580],[5,16,"u","(5,4,4,1,1,1)",360360,342170,"exact",342170,342170],[5,16,"u","(5,4,3,3,1)",549120,521460,"exact",521460,521460],[5,16,"u","(5,4,3,2,2)",640640,612580,"exact",612580,612580],[5,16,"u","(5,4,3,2,1,1)",1153152,1108208,"exact",1108208,1108208],[5,16,"u","(5,4,3,1,1,1,1)",582400,564900,"exact",564900,564900],[5,16,"u","(5,4,2,2,2,1)",630630,611795,"exact",611795,611795],[5,16,"u","(5,4,2,2,1,1,1)",698880,681940,"exact",681940,681940],[5,16,"u","(5,4,2,1,1,1,1,1)",360360,354585,"exact",354585,354585],[5,16,"u","(5,4,1,1,1,1,1,1,1)",80640,80080,"exact",80080,80080],[5,16,"u","(5,3,3,3,2)",280280,271290,"exact",271290,271290],[5,16,"u","(5,3,3,3,1,1)",411840,400310,"exact",400310,400310],[5,16,"u","(5,3,3,2,2,1)",648648,633582,"exact",633582,633582],[5,16,"u","(5,3,3,2,1,1,1)",673920,661500,"exact",661500,661500],[5,16,"u","(5,3,3,1,1,1,1,1)",280280,276990,"exact",276990,276990],[5,16,"u","(5,3,2,2,2,2)",240240,236660,"exact",236660,236660],[5,16,"u","(5,3,2,2,2,1,1)",515970,509535,"exact",509535,509535],[5,16,"u","(5,3,2,2,1,1,1,1)",429000,425445,"exact",425445,425445],[5,16,"u","(5,3,2,1,1,1,1,1,1)",194040,193340,"exact",193340,193340],[5,16,"u","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[5,16,"u","(5,2,2,2,2,2,1)",116480,115840,"exact",115840,115840],[5,16,"u","(5,2,2,2,2,1,1,1)",150150,149590,"exact",149590,149590],[5,16,"u","(5,2,2,2,1,1,1,1,1)",105600,105440,"exact",105440,105440],[5,16,"u","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[5,16,"u","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[5,16,"u","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[5,16,"u","(4,4,4,4)",24024,22850,"exact",22850,22850],[5,16,"u","(4,4,4,3,1)",180180,173505,"exact",173505,173505],[5,16,"u","(4,4,4,2,2)",171600,166130,"exact",166130,166130],[5,16,"u","(4,4,4,2,1,1)",300300,291880,"exact",291880,291880],[5,16,"u","(4,4,4,1,1,1,1)",140140,137170,"exact",137170,137170],[5,16,"u","(4,4,3,3,2)",231660,225675,"exact",225675,225675],[5,16,"u","(4,4,3,3,1,1)",336336,328800,"exact",328800,328800],[5,16,"u","(4,4,3,2,2,1)",500500,491250,"exact",491250,491250],[5,16,"u","(4,4,3,2,1,1,1)",512512,505052,"exact",505052,505052],[5,16,"u","(4,4,3,1,1,1,1,1)",206388,204498,"exact",204498,204498],[5,16,"u","(4,4,2,2,2,2)",150150,148395,"exact",148395,148395],[5,16,"u","(4,4,2,2,2,1,1)",320320,317200,"exact",317200,317200],[5,16,"u","(4,4,2,2,1,1,1,1)",262080,260400,"exact",260400,260400],[5,16,"u","(4,4,2,1,1,1,1,1,1)",114660,114345,"exact",114345,114345],[5,16,"u","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[5,16,"u","(4,3,3,3,3)",60060,59075,"exact",59075,59075],[5,16,"u","(4,3,3,3,2,1)",292864,289240,"exact",289240,289240],[5,16,"u","(4,3,3,3,1,1,1)",240240,237990,"exact",237990,237990],[5,16,"u","(4,3,3,2,2,2)",200200,198470,"exact",198470,198470],[5,16,"u","(4,3,3,2,2,1,1)",416988,414018,"exact",414018,414018],[5,16,"u","(4,3,3,2,1,1,1,1)",318500,317050,"exact",317050,317050],[5,16,"u","(4,3,3,1,1,1,1,1,1)",112112,111902,"exact",111902,111902],[5,16,"u","(4,3,2,2,2,2,1)",210210,209455,"exact",209455,209455],[5,16,"u","(4,3,2,2,2,1,1,1)",266240,265600,"exact",265600,265600],[5,16,"u","(4,3,2,2,1,1,1,1,1)",180180,180005,"exact",180005,180005],[5,16,"u","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[5,16,"u","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[5,16,"u","(4,2,2,2,2,2,2)",32032,32002,"exact",32002,32002],[5,16,"u","(4,2,2,2,2,2,1,1)",73710,73665,"exact",73665,73665],[5,16,"u","(4,2,2,2,2,1,1,1,1)",71500,71485,"exact",71485,71485],[5,16,"u","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[5,16,"u","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[5,16,"u","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[5,16,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[5,16,"u","(3,3,3,3,3,1)",36036,35815,"exact",35815,35815],[5,16,"u","(3,3,3,3,2,2)",51480,51240,"exact",51240,51240],[5,16,"u","(3,3,3,3,2,1,1)",100100,99725,"exact",99725,99725],[5,16,"u","(3,3,3,3,1,1,1,1)",60060,59925,"exact",59925,59925],[5,16,"u","(3,3,3,2,2,2,1)",91520,91320,"exact",91320,91320],[5,16,"u","(3,3,3,2,2,1,1,1)",112112,111952,"exact",111952,111952],[5,16,"u","(3,3,3,2,1,1,1,1,1)",69888,69848,"exact",69848,69848],[5,16,"u","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[5,16,"u","(3,3,2,2,2,2,2)",30030,30010,"exact",30010,30010],[5,16,"u","(3,3,2,2,2,2,1,1)",68640,68610,"exact",68610,68610],[5,16,"u","(3,3,2,2,2,1,1,1,1)",65520,65510,"exact",65510,65510],[5,16,"u","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[5,16,"u","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[5,16,"u","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[5,16,"u","(3,2,2,2,2,2,2,1)",18018,18018,"exact",18018,18018],[5,16,"u","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[5,16,"u","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[5,16,"u","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[5,16,"u","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[5,16,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[5,16,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[5,16,"u","(2,2,2,2,2,2,2,2)",1430,1430,"exact",1430,1430],[5,16,"u","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[5,16,"u","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[5,16,"u","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[5,16,"u","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[5,16,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[5,16,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[5,16,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[5,16,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,17,"u","(17)",1,0,"exact",0,0],[5,17,"u","(16,1)",16,0,"exact",0,0],[5,17,"u","(15,2)",119,0,"exact",0,0],[5,17,"u","(15,1,1)",120,0,"exact",0,0],[5,17,"u","(14,3)",544,0,"exact",0,0],[5,17,"u","(14,2,1)",1105,0,"exact",0,0],[5,17,"u","(14,1,1,1)",560,0,"exact",0,0],[5,17,"u","(13,4)",1700,0,"exact",0,0],[5,17,"u","(13,3,1)",5236,0,"exact",0,0],[5,17,"u","(13,2,2)",3536,0,"exact",0,0],[5,17,"u","(13,2,1,1)",5355,0,"exact",0,0],[5,17,"u","(13,1,1,1,1)",1820,0,"exact",0,0],[5,17,"u","(12,5)",3808,792,"exact",792,792],[5,17,"u","(12,4,1)",15912,3168,"exact",3168,3168],[5,17,"u","(12,3,2)",20400,3960,"exact",3960,3960],[5,17,"u","(12,3,1,1)",24752,4752,"exact",4752,4752],[5,17,"u","(12,2,2,1)",20944,3960,"exact",3960,3960],[5,17,"u","(12,2,1,1,1)",17017,3168,"exact",3168,3168],[5,17,"u","(12,1,1,1,1,1)",4368,792,"exact",792,792],[5,17,"u","(11,6)",6188,2442,"exact",2442,2442],[5,17,"u","(11,5,1)",33320,13860,"exact",13860,13860],[5,17,"u","(11,4,2)",62832,26928,"exact",26928,26928],[5,17,"u","(11,4,1,1)",70720,31020,"exact",31020,31020],[5,17,"u","(11,3,3)",35700,15510,"exact",15510,15510],[5,17,"u","(11,3,2,1)",116688,52272,"exact",52272,52272],[5,17,"u","(11,3,1,1,1)",74256,34320,"exact",34320,34320],[5,17,"u","(11,2,2,2)",37400,17160,"exact",17160,17160],[5,17,"u","(11,2,2,1,1)",68068,31878,"exact",31878,31878],[5,17,"u","(11,2,1,1,1,1)",38675,18810,"exact",18810,18810],[5,17,"u","(11,1,1,1,1,1,1)",8008,4092,"exact",4092,4092],[5,17,"u","(10,7)",7072,3648,"exact",3648,3648],[5,17,"u","(10,6,1)",48620,27330,"exact",27330,27330],[5,17,"u","(10,5,2)",123760,74040,"exact",74040,74040],[5,17,"u","(10,5,1,1)",134640,82080,"exact",82080,82080],[5,17,"u","(10,4,3)",129948,80682,"exact",80682,80682],[5,17,"u","(10,4,2,1)",333200,213360,"exact",213360,213360],[5,17,"u","(10,4,1,1,1)",194480,127980,"exact",127980,127980],[5,17,"u","(10,3,3,1)",205632,134928,"exact",134928,134928],[5,17,"u","(10,3,2,2)",209440,140520,"exact",140520,140520],[5,17,"u","(10,3,2,1,1)",353600,241320,"exact",241320,241320],[5,17,"u","(10,3,1,1,1,1)",155584,110040,"exact",110040,110040],[5,17,"u","(10,2,2,2,1)",145860,103050,"exact",103050,103050],[5,17,"u","(10,2,2,1,1,1)",148512,107592,"exact",107592,107592],[5,17,"u","(10,2,1,1,1,1,1)",65637,49698,"exact",49698,49698],[5,17,"u","(10,1,1,1,1,1,1,1)",11440,9240,"exact",9240,9240],[5,17,"u","(9,8)",4862,2823,"exact",2823,2823],[5,17,"u","(9,7,1)",46410,29925,"exact",29925,29925],[5,17,"u","(9,6,2)",159120,110880,"exact",110880,110880],[5,17,"u","(9,6,1,1)",170170,120345,"exact",120345,120345],[5,17,"u","(9,5,3)",247520,181680,"exact",181680,181680],[5,17,"u","(9,5,2,1)",583440,438360,"exact",438360,438360],[5,17,"u","(9,5,1,1,1)",327250,250965,"exact",250965,250965],[5,17,"u","(9,4,4)",129948,97902,"exact",97902,97902],[5,17,"u","(9,4,3,1)",680680,530520,"exact",530520,530520],[5,17,"u","(9,4,2,2)",556920,441180,"exact",441180,441180],[5,17,"u","(9,4,2,1,1)",908820,729270,"exact",729270,729270],[5,17,"u","(9,4,1,1,1,1)",364650,300105,"exact",300105,300105],[5,17,"u","(9,3,3,2)",433160,351120,"exact",351120,351120],[5,17,"u","(9,3,3,1,1)",586432,481488,"exact",481488,481488],[5,17,"u","(9,3,2,2,1)",749700,625590,"exact",625590,625590],[5,17,"u","(9,3,2,1,1,1)",700128,594792,"exact",594792,594792],[5,17,"u","(9,3,1,1,1,1,1)",238238,208383,"exact",208383,208383],[5,17,"u","(9,2,2,2,2)",157080,135540,"exact",135540,135540],[5,17,"u","(9,2,2,2,1,1)",318240,277740,"exact",277740,277740],[5,17,"u","(9,2,2,1,1,1,1)",233376,208200,"exact",208200,208200],[5,17,"u","(9,2,1,1,1,1,1,1)",85085,78375,"exact",78375,78375],[5,17,"u","(9,1,1,1,1,1,1,1,1)",12870,12375,"exact",12375,12375],[5,17,"u","(8,8,1)",19448,13252,"exact",13252,13252],[5,17,"u","(8,7,2)",116688,87072,"exact",87072,87072],[5,17,"u","(8,7,1,1)",123760,93520,"exact",93520,93520],[5,17,"u","(8,6,3)",272272,216048,"exact",216048,216048],[5,17,"u","(8,6,2,1)",618800,500320,"exact",500320,500320],[5,17,"u","(8,6,1,1,1)",340340,279730,"exact",279730,279730],[5,17,"u","(8,5,4)",272272,223928,"exact",223928,223928],[5,17,"u","(8,5,3,1)",1113840,939960,"exact",939960,939960],[5,17,"u","(8,5,2,2)",848640,724960,"exact",724960,724960],[5,17,"u","(8,5,2,1,1)",1361360,1174320,"exact",1174320,1174320],[5,17,"u","(8,5,1,1,1,1)",523600,460200,"exact",460200,460200],[5,17,"u","(8,4,4,1)",618800,533200,"exact",533200,533200],[5,17,"u","(8,4,3,2)",1299480,1141420,"exact",1141420,1141420],[5,17,"u","(8,4,3,1,1)",1701700,1508850,"exact",1508850,1508850],[5,17,"u","(8,4,2,2,1)",1750320,1569480,"exact",1569480,1569480],[5,17,"u","(8,4,2,1,1,1)",1570800,1426080,"exact",1426080,1426080],[5,17,"u","(8,4,1,1,1,1,1)",486200,450080,"exact",450080,450080],[5,17,"u","(8,3,3,3)",346528,311192,"exact",311192,311192],[5,17,"u","(8,3,3,2,1)",1429428,1302042,"exact",1302042,1302042],[5,17,"u","(8,3,3,1,1,1)",1047200,965440,"exact",965440,965440],[5,17,"u","(8,3,2,2,2)",742560,686680,"exact",686680,686680],[5,17,"u","(8,3,2,2,1,1)",1454112,1354248,"exact",1354248,1354248],[5,17,"u","(8,3,2,1,1,1,1)",972400,918000,"exact",918000,918000],[5,17,"u","(8,3,1,1,1,1,1,1)",272272,261832,"exact",261832,261832],[5,17,"u","(8,2,2,2,2,1)",399840,379960,"exact",379960,379960],[5,17,"u","(8,2,2,2,1,1,1)",466752,447348,"exact",447348,447348],[5,17,"u","(8,2,2,1,1,1,1,1)",272272,264432,"exact",264432,264432],[5,17,"u","(8,2,1,1,1,1,1,1,1)",85085,83930,"exact",83930,83930],[5,17,"u","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[5,17,"u","(7,7,3)",121550,99520,"exact",99520,99520],[5,17,"u","(7,7,2,1)",272272,226688,"exact",226688,226688],[5,17,"u","(7,7,1,1,1)",148512,125468,"exact",125468,125468],[5,17,"u","(7,6,4)",243100,207970,"exact",207970,207970],[5,17,"u","(7,6,3,1)",918918,803262,"exact",803262,803262],[5,17,"u","(7,6,2,2)",680680,601090,"exact",601090,601090],[5,17,"u","(7,6,2,1,1)",1082900,964040,"exact",964040,964040],[5,17,"u","(7,6,1,1,1,1)",408408,369242,"exact",369242,369242],[5,17,"u","(7,5,5)",136136,118880,"exact",118880,118880],[5,17,"u","(7,5,4,1)",1050192,942432,"exact",942432,942432],[5,17,"u","(7,5,3,2)",1750320,1594350,"exact",1594350,1594350],[5,17,"u","(7,5,3,1,1)",2255526,2069550,"exact",2069550,2069550],[5,17,"u","(7,5,2,2,1)",2165800,2004380,"exact",2004380,2004380],[5,17,"u","(7,5,2,1,1,1)",1905904,1780520,"exact",1780520,1780520],[5,17,"u","(7,5,1,1,1,1,1)",565488,536028,"exact",536028,536028],[5,17,"u","(7,4,4,2)",1089088,1005958,"exact",1005958,1005958],[5,17,"u","(7,4,4,1,1)",1326000,1233250,"exact",1233250,1233250],[5,17,"u","(7,4,3,3)",952952,888608,"exact",888608,888608],[5,17,"u","(7,4,3,2,1)",3620864,3410880,"exact",3410880,3410880],[5,17,"u","(7,4,3,1,1,1)",2552550,2424830,"exact",2424830,2424830],[5,17,"u","(7,4,2,2,2)",1485120,1413790,"exact",1413790,1413790],[5,17,"u","(7,4,2,2,1,1)",2858856,2734830,"exact",2734830,2734830],[5,17,"u","(7,4,2,1,1,1,1)",1832600,1769180,"exact",1769180,1769180],[5,17,"u","(7,4,1,1,1,1,1,1)",466752,456072,"exact",456072,456072],[5,17,"u","(7,3,3,3,1)",1082900,1034005,"exact",1034005,1034005],[5,17,"u","(7,3,3,2,2)",1336608,1283988,"exact",1283988,1283988],[5,17,"u","(7,3,3,2,1,1)",2431000,2345525,"exact",2345525,2345525],[5,17,"u","(7,3,3,1,1,1,1)",1262250,1227855,"exact",1227855,1227855],[5,17,"u","(7,3,2,2,2,1)",1633632,1589392,"exact",1589392,1589392],[5,17,"u","(7,3,2,2,1,1,1)",1832600,1792140,"exact",1792140,1792140],[5,17,"u","(7,3,2,1,1,1,1,1)",972400,958120,"exact",958120,958120],[5,17,"u","(7,3,1,1,1,1,1,1,1)",233376,231876,"exact",231876,231876],[5,17,"u","(7,2,2,2,2,2)",259896,255815,"exact",255815,255815],[5,17,"u","(7,2,2,2,2,1,1)",565488,558012,"exact",558012,558012],[5,17,"u","(7,2,2,2,1,1,1,1)",486200,481860,"exact",481860,481860],[5,17,"u","(7,2,2,1,1,1,1,1,1)",238238,237293,"exact",237293,237293],[5,17,"u","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[5,17,"u","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[5,17,"u","(6,6,5)",87516,77910,"exact",77910,77910],[5,17,"u","(6,6,4,1)",544544,496600,"exact",496600,496600],[5,17,"u","(6,6,3,2)",850850,786170,"exact",786170,786170],[5,17,"u","(6,6,3,1,1)",1089088,1012708,"exact",1012708,1012708],[5,17,"u","(6,6,2,2,1)",1021020,956550,"exact",956550,956550],[5,17,"u","(6,6,2,1,1,1)",891072,841632,"exact",841632,841632],[5,17,"u","(6,6,1,1,1,1,1)",259896,248570,"exact",248570,248570],[5,17,"u","(6,5,5,1)",388960,359680,"exact",359680,359680],[5,17,"u","(6,5,4,2)",1361360,1280340,"exact",1280340,1280340],[5,17,"u","(6,5,4,1,1)",1633632,1544948,"exact",1544948,1544948],[5,17,"u","(6,5,3,3)",972400,921580,"exact",921580,921580],[5,17,"u","(6,5,3,2,1)",3573570,3414460,"exact",3414460,3414460],[5,17,"u","(6,5,3,1,1,1)",2475200,2380820,"exact",2380820,2380820],[5,17,"u","(6,5,2,2,2)",1361360,1311660,"exact",1311660,1311660],[5,17,"u","(6,5,2,2,1,1)",2598960,2513700,"exact",2513700,2513700],[5,17,"u","(6,5,2,1,1,1,1)",1633632,1591328,"exact",1591328,1591328],[5,17,"u","(6,5,1,1,1,1,1,1)",399840,393120,"exact",393120,393120],[5,17,"u","(6,4,4,3)",816816,781140,"exact",781140,781140],[5,17,"u","(6,4,4,2,1)",2450448,2360532,"exact",2360532,2360532],[5,17,"u","(6,4,4,1,1,1)",1591200,1541820,"exact",1541820,1541820],[5,17,"u","(6,4,3,3,1)",2362932,2289807,"exact",2289807,2289807],[5,17,"u","(6,4,3,2,2)",2722720,2649890,"exact",2649890,2649890],[5,17,"u","(6,4,3,2,1,1)",4873050,4757655,"exact",4757655,4757655],[5,17,"u","(6,4,3,1,1,1,1)",2431000,2387075,"exact",2387075,2387075],[5,17,"u","(6,4,2,2,2,1)",2598960,2552340,"exact",2552340,2552340],[5,17,"u","(6,4,2,2,1,1,1)",2858856,2817570,"exact",2817570,2817570],[5,17,"u","(6,4,2,1,1,1,1,1)",1454112,1440432,"exact",1440432,1440432],[5,17,"u","(6,4,1,1,1,1,1,1,1)",318240,316980,"exact",316980,316980],[5,17,"u","(6,3,3,3,2)",1089088,1067948,"exact",1067948,1067948],[5,17,"u","(6,3,3,3,1,1)",1591200,1564380,"exact",1564380,1564380],[5,17,"u","(6,3,3,2,2,1)",2475200,2440820,"exact",2440820,2440820],[5,17,"u","(6,3,3,2,1,1,1)",2552550,2524620,"exact",2524620,2524620],[5,17,"u","(6,3,3,1,1,1,1,1)",1047200,1040000,"exact",1040000,1040000],[5,17,"u","(6,3,2,2,2,2)",891072,883248,"exact",883248,883248],[5,17,"u","(6,3,2,2,2,1,1)",1905904,1891960,"exact",1891960,1891960],[5,17,"u","(6,3,2,2,1,1,1,1)",1570800,1563240,"exact",1563240,1563240],[5,17,"u","(6,3,2,1,1,1,1,1,1)",700128,698688,"exact",698688,698688],[5,17,"u","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[5,17,"u","(6,2,2,2,2,2,1)",408408,407113,"exact",407113,407113],[5,17,"u","(6,2,2,2,2,1,1,1)",523600,522480,"exact",522480,522480],[5,17,"u","(6,2,2,2,1,1,1,1,1)",364650,364335,"exact",364335,364335],[5,17,"u","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[5,17,"u","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[5,17,"u","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[5,17,"u","(5,5,5,2)",291720,278340,"exact",278340,278340],[5,17,"u","(5,5,5,1,1)",340340,326190,"exact",326190,326190],[5,17,"u","(5,5,4,3)",583440,562180,"exact",562180,562180],[5,17,"u","(5,5,4,2,1)",1701700,1649870,"exact",1649870,1649870],[5,17,"u","(5,5,4,1,1,1)",1089088,1061172,"exact",1061172,1061172],[5,17,"u","(5,5,3,3,1)",1361360,1326580,"exact",1326580,1326580],[5,17,"u","(5,5,3,2,2)",1531530,1497840,"exact",1497840,1497840],[5,17,"u","(5,5,3,2,1,1)",2722720,2669890,"exact",2669890,2669890],[5,17,"u","(5,5,3,1,1,1,1)",1336608,1316952,"exact",1316952,1316952],[5,17,"u","(5,5,2,2,2,1)",1361360,1341500,"exact",1341500,1341500],[5,17,"u","(5,5,2,2,1,1,1)",1485120,1467770,"exact",1467770,1467770],[5,17,"u","(5,5,2,1,1,1,1,1)",742560,736960,"exact",736960,736960],[5,17,"u","(5,5,1,1,1,1,1,1,1)",157080,156590,"exact",156590,156590],[5,17,"u","(5,4,4,4)",204204,198575,"exact",198575,198575],[5,17,"u","(5,4,4,3,1)",1458600,1428510,"exact",1428510,1428510],[5,17,"u","(5,4,4,2,2)",1361360,1337370,"exact",1337370,1337370],[5,17,"u","(5,4,4,2,1,1)",2362932,2326518,"exact",2326518,2326518],[5,17,"u","(5,4,4,1,1,1,1)",1082900,1070440,"exact",1070440,1070440],[5,17,"u","(5,4,3,3,2)",1701700,1677605,"exact",1677605,1677605],[5,17,"u","(5,4,3,3,1,1)",2450448,2420538,"exact",2420538,2420538],[5,17,"u","(5,4,3,2,2,1)",3573570,3537895,"exact",3537895,3537895],[5,17,"u","(5,4,3,2,1,1,1)",3620864,3592640,"exact",3592640,3592640],[5,17,"u","(5,4,3,1,1,1,1,1)",1429428,1422533,"exact",1422533,1422533],[5,17,"u","(5,4,2,2,2,2)",1021020,1014690,"exact",1014690,1014690],[5,17,"u","(5,4,2,2,2,1,1)",2165800,2154670,"exact",2154670,2154670],[5,17,"u","(5,4,2,2,1,1,1,1)",1750320,1744470,"exact",1744470,1744470],[5,17,"u","(5,4,2,1,1,1,1,1,1)",749700,748650,"exact",748650,748650],[5,17,"u","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[5,17,"u","(5,3,3,3,3)",340340,337325,"exact",337325,337325],[5,17,"u","(5,3,3,3,2,1)",1633632,1622812,"exact",1622812,1622812],[5,17,"u","(5,3,3,3,1,1,1)",1326000,1319400,"exact",1319400,1319400],[5,17,"u","(5,3,3,2,2,2)",1089088,1084112,"exact",1084112,1084112],[5,17,"u","(5,3,3,2,2,1,1)",2255526,2247075,"exact",2247075,2247075],[5,17,"u","(5,3,3,2,1,1,1,1)",1701700,1697665,"exact",1697665,1697665],[5,17,"u","(5,3,3,1,1,1,1,1,1)",586432,585872,"exact",585872,585872],[5,17,"u","(5,3,2,2,2,2,1)",1082900,1080890,"exact",1080890,1080890],[5,17,"u","(5,3,2,2,2,1,1,1)",1361360,1359680,"exact",1359680,1359680],[5,17,"u","(5,3,2,2,1,1,1,1,1)",908820,908370,"exact",908370,908370],[5,17,"u","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[5,17,"u","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[5,17,"u","(5,2,2,2,2,2,2)",148512,148442,"exact",148442,148442],[5,17,"u","(5,2,2,2,2,2,1,1)",340340,340235,"exact",340235,340235],[5,17,"u","(5,2,2,2,2,1,1,1,1)",327250,327215,"exact",327215,327215],[5,17,"u","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[5,17,"u","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[5,17,"u","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[5,17,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[5,17,"u","(4,4,4,4,1)",204204,201475,"exact",201475,201475],[5,17,"u","(4,4,4,3,2)",583440,577580,"exact",577580,577580],[5,17,"u","(4,4,4,3,1,1)",816816,809820,"exact",809820,809820],[5,17,"u","(4,4,4,2,2,1)",972400,965660,"exact",965660,965660],[5,17,"u","(4,4,4,2,1,1,1)",952952,947862,"exact",947862,947862],[5,17,"u","(4,4,4,1,1,1,1,1)",346528,345408,"exact",345408,345408],[5,17,"u","(4,4,3,3,3)",291720,289670,"exact",289670,289670],[5,17,"u","(4,4,3,3,2,1)",1361360,1354260,"exact",1354260,1354260],[5,17,"u","(4,4,3,3,1,1,1)",1089088,1084842,"exact",1084842,1084842],[5,17,"u","(4,4,3,2,2,2)",850850,847815,"exact",847815,847815],[5,17,"u","(4,4,3,2,2,1,1)",1750320,1745220,"exact",1745220,1745220],[5,17,"u","(4,4,3,2,1,1,1,1)",1299480,1297100,"exact",1297100,1297100],[5,17,"u","(4,4,3,1,1,1,1,1,1)",433160,432845,"exact",432845,432845],[5,17,"u","(4,4,2,2,2,2,1)",680680,679710,"exact",679710,679710],[5,17,"u","(4,4,2,2,2,1,1,1)",848640,847840,"exact",847840,847840],[5,17,"u","(4,4,2,2,1,1,1,1,1)",556920,556710,"exact",556710,556710],[5,17,"u","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[5,17,"u","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[5,17,"u","(4,3,3,3,3,1)",388960,387840,"exact",387840,387840],[5,17,"u","(4,3,3,3,2,2)",544544,543360,"exact",543360,543360],[5,17,"u","(4,3,3,3,2,1,1)",1050192,1048368,"exact",1048368,1048368],[5,17,"u","(4,3,3,3,1,1,1,1)",618800,618160,"exact",618160,618160],[5,17,"u","(4,3,3,2,2,2,1)",918918,918003,"exact",918003,918003],[5,17,"u","(4,3,3,2,2,1,1,1)",1113840,1113120,"exact",1113120,1113120],[5,17,"u","(4,3,3,2,1,1,1,1,1)",680680,680505,"exact",680505,680505],[5,17,"u","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[5,17,"u","(4,3,2,2,2,2,2)",272272,272192,"exact",272192,272192],[5,17,"u","(4,3,2,2,2,2,1,1)",618800,618680,"exact",618680,618680],[5,17,"u","(4,3,2,2,2,1,1,1,1)",583440,583400,"exact",583400,583400],[5,17,"u","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[5,17,"u","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[5,17,"u","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[5,17,"u","(4,2,2,2,2,2,2,1)",123760,123760,"exact",123760,123760],[5,17,"u","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[5,17,"u","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[5,17,"u","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[5,17,"u","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[5,17,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[5,17,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[5,17,"u","(3,3,3,3,3,2)",87516,87435,"exact",87435,87435],[5,17,"u","(3,3,3,3,3,1,1)",136136,136040,"exact",136040,136040],[5,17,"u","(3,3,3,3,2,2,1)",243100,242985,"exact",242985,242985],[5,17,"u","(3,3,3,3,2,1,1,1)",272272,272192,"exact",272192,272192],[5,17,"u","(3,3,3,3,1,1,1,1,1)",129948,129933,"exact",129933,129933],[5,17,"u","(3,3,3,2,2,2,2)",121550,121530,"exact",121530,121530],[5,17,"u","(3,3,3,2,2,2,1,1)",272272,272242,"exact",272242,272242],[5,17,"u","(3,3,3,2,2,1,1,1,1)",247520,247510,"exact",247510,247510],[5,17,"u","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[5,17,"u","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[5,17,"u","(3,3,2,2,2,2,2,1)",116688,116688,"exact",116688,116688],[5,17,"u","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[5,17,"u","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[5,17,"u","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[5,17,"u","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[5,17,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[5,17,"u","(3,2,2,2,2,2,2,2)",19448,19448,"exact",19448,19448],[5,17,"u","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[5,17,"u","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[5,17,"u","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[5,17,"u","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[5,17,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[5,17,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[5,17,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[5,17,"u","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[5,17,"u","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[5,17,"u","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[5,17,"u","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[5,17,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[5,17,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[5,17,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[5,17,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[5,17,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,18,"u","(18)",1,0,"exact",0,0],[5,18,"u","(17,1)",17,0,"exact",0,0],[5,18,"u","(16,2)",135,0,"exact",0,0],[5,18,"u","(16,1,1)",136,0,"exact",0,0],[5,18,"u","(15,3)",663,0,"exact",0,0],[5,18,"u","(15,2,1)",1344,0,"exact",0,0],[5,18,"u","(15,1,1,1)",680,0,"exact",0,0],[5,18,"u","(14,4)",2244,0,"exact",0,0],[5,18,"u","(14,3,1)",6885,0,"exact",0,0],[5,18,"u","(14,2,2)",4641,0,"exact",0,0],[5,18,"u","(14,2,1,1)",7020,0,"exact",0,0],[5,18,"u","(14,1,1,1,1)",2380,0,"exact",0,0],[5,18,"u","(13,5)",5508,1287,"exact",1287,1287],[5,18,"u","(13,4,1)",22848,5148,"exact",5148,5148],[5,18,"u","(13,3,2)",29172,6435,"exact",6435,6435],[5,18,"u","(13,3,1,1)",35343,7722,"exact",7722,7722],[5,18,"u","(13,2,2,1)",29835,6435,"exact",6435,6435],[5,18,"u","(13,2,1,1,1)",24192,5148,"exact",5148,5148],[5,18,"u","(13,1,1,1,1,1)",6188,1287,"exact",1287,1287],[5,18,"u","(12,6)",9996,4389,"exact",4389,4389],[5,18,"u","(12,5,1)",53040,24420,"exact",24420,24420],[5,18,"u","(12,4,2)",99144,46926,"exact",46926,46926],[5,18,"u","(12,4,1,1)",111384,53790,"exact",53790,53790],[5,18,"u","(12,3,3)",56100,26895,"exact",26895,26895],[5,18,"u","(12,3,2,1)",182784,90024,"exact",90024,90024],[5,18,"u","(12,3,1,1,1)",116025,58740,"exact",58740,58740],[5,18,"u","(12,2,2,2)",58344,29370,"exact",29370,29370],[5,18,"u","(12,2,2,1,1)",106029,54351,"exact",54351,54351],[5,18,"u","(12,2,1,1,1,1)",60060,31845,"exact",31845,31845],[5,18,"u","(12,1,1,1,1,1,1)",12376,6864,"exact",6864,6864],[5,18,"u","(11,7)",13260,7590,"exact",7590,7590],[5,18,"u","(11,6,1)",88128,54252,"exact",54252,54252],[5,18,"u","(11,5,2)",219912,142758,"exact",142758,142758],[5,18,"u","(11,5,1,1)",238680,157410,"exact",157410,157410],[5,18,"u","(11,4,3)",228480,153120,"exact",153120,153120],[5,18,"u","(11,4,2,1)",583440,401280,"exact",401280,401280],[5,18,"u","(11,4,1,1,1)",339456,238920,"exact",238920,238920],[5,18,"u","(11,3,3,1)",358020,251460,"exact",251460,251460],[5,18,"u","(11,3,2,2)",363528,260172,"exact",260172,260172],[5,18,"u","(11,3,2,1,1)",612612,444840,"exact",444840,444840],[5,18,"u","(11,3,1,1,1,1)",268515,200970,"exact",200970,200970],[5,18,"u","(11,2,2,2,1)",251328,187968,"exact",187968,187968],[5,18,"u","(11,2,2,1,1,1)",255255,195030,"exact",195030,195030],[5,18,"u","(11,2,1,1,1,1,1)",112320,89100,"exact",89100,89100],[5,18,"u","(11,1,1,1,1,1,1,1)",19448,16302,"exact",16302,16302],[5,18,"u","(10,8)",11934,7731,"exact",7731,7731],[5,18,"u","(10,7,1)",102102,71943,"exact",71943,71943],[5,18,"u","(10,6,2)",331500,248625,"exact",248625,248625],[5,18,"u","(10,6,1,1)",353430,268245,"exact",268245,268245],[5,18,"u","(10,5,3)",501228,391977,"exact",391977,391977],[5,18,"u","(10,5,2,1)",1175040,936360,"exact",936360,936360],[5,18,"u","(10,5,1,1,1)",656370,531765,"exact",531765,531765],[5,18,"u","(10,4,4)",259896,207564,"exact",207564,207564],[5,18,"u","(10,4,3,1)",1349460,1107540,"exact",1107540,1107540],[5,18,"u","(10,4,2,2)",1099560,914340,"exact",914340,914340],[5,18,"u","(10,4,2,1,1)",1790100,1504080,"exact",1504080,1504080],[5,18,"u","(10,4,1,1,1,1)",714714,612885,"exact",612885,612885],[5,18,"u","(10,3,3,2)",848232,718488,"exact",718488,718488],[5,18,"u","(10,3,3,1,1)",1145664,980496,"exact",980496,980496],[5,18,"u","(10,3,2,2,1)",1458600,1264680,"exact",1264680,1264680],[5,18,"u","(10,3,2,1,1,1)",1357824,1194384,"exact",1194384,1194384],[5,18,"u","(10,3,1,1,1,1,1)",459459,413721,"exact",413721,413721],[5,18,"u","(10,2,2,2,2)",302940,269820,"exact",269820,269820],[5,18,"u","(10,2,2,2,1,1)",612612,550617,"exact",550617,550617],[5,18,"u","(10,2,2,1,1,1,1)",447525,409365,"exact",409365,409365],[5,18,"u","(10,2,1,1,1,1,1,1)",162162,152163,"exact",152163,152163],[5,18,"u","(10,1,1,1,1,1,1,1,1)",24310,23595,"exact",23595,23595],[5,18,"u","(9,9)",4862,3313,"exact",3313,3313],[5,18,"u","(9,8,1)",70720,53000,"exact",53000,53000],[5,18,"u","(9,7,2)",322218,258687,"exact",258687,258687],[5,18,"u","(9,7,1,1)",340340,275890,"exact",275890,275890],[5,18,"u","(9,6,3)",678912,571008,"exact",571008,571008],[5,18,"u","(9,6,2,1)",1531530,1306770,"exact",1306770,1306770],[5,18,"u","(9,6,1,1,1)",837760,723860,"exact",723860,723860],[5,18,"u","(9,5,4)",649740,561435,"exact",561435,561435],[5,18,"u","(9,5,3,1)",2625480,2313720,"exact",2313720,2313720],[5,18,"u","(9,5,2,2)",1989000,1769250,"exact",1769250,1769250],[5,18,"u","(9,5,2,1,1)",3180870,2850480,"exact",2850480,2850480],[5,18,"u","(9,5,1,1,1,1)",1215500,1104895,"exact",1104895,1104895],[5,18,"u","(9,4,4,1)",1429428,1279572,"exact",1279572,1279572],[5,18,"u","(9,4,3,2)",2970240,2697960,"exact",2697960,2697960],[5,18,"u","(9,4,3,1,1)",3877632,3547368,"exact",3547368,3547368],[5,18,"u","(9,4,2,2,1)",3965760,3659040,"exact",3659040,3659040],[5,18,"u","(9,4,2,1,1,1)",3544398,3301047,"exact",3301047,3301047],[5,18,"u","(9,4,1,1,1,1,1)",1089088,1029308,"exact",1029308,1029308],[5,18,"u","(9,3,3,3)",779688,720132,"exact",720132,720132],[5,18,"u","(9,3,3,2,1)",3198720,2986200,"exact",2986200,2986200],[5,18,"u","(9,3,3,1,1,1)",2333760,2198520,"exact",2198520,2198520],[5,18,"u","(9,3,2,2,2)",1649340,1557360,"exact",1557360,1557360],[5,18,"u","(9,3,2,2,1,1)",3222180,3058695,"exact",3058695,3058695],[5,18,"u","(9,3,2,1,1,1,1)",2144142,2056110,"exact",2056110,2056110],[5,18,"u","(9,3,1,1,1,1,1,1)",595595,579040,"exact",579040,579040],[5,18,"u","(9,2,2,2,2,1)",875160,843300,"exact",843300,843300],[5,18,"u","(9,2,2,2,1,1,1)",1018368,987528,"exact",987528,987528],[5,18,"u","(9,2,2,1,1,1,1,1)",590733,578457,"exact",578457,578457],[5,18,"u","(9,2,1,1,1,1,1,1,1)",183040,181280,"exact",181280,181280],[5,18,"u","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[5,18,"u","(8,8,2)",136136,112364,"exact",112364,112364],[5,18,"u","(8,8,1,1)",143208,119232,"exact",119232,119232],[5,18,"u","(8,7,3)",510510,443765,"exact",443765,443765],[5,18,"u","(8,7,2,1)",1131520,995600,"exact",995600,995600],[5,18,"u","(8,7,1,1,1)",612612,544758,"exact",544758,544758],[5,18,"u","(8,6,4)",787644,706191,"exact",706191,706191],[5,18,"u","(8,6,3,1)",2923830,2662590,"exact",2662590,2662590],[5,18,"u","(8,6,2,2)",2148120,1970580,"exact",1970580,1970580],[5,18,"u","(8,6,2,1,1)",3403400,3140260,"exact",3140260,3140260],[5,18,"u","(8,6,1,1,1,1)",1272348,1187037,"exact",1187037,1187037],[5,18,"u","(8,5,5)",408408,371478,"exact",371478,371478],[5,18,"u","(8,5,4,1)",3055104,2833800,"exact",2833800,2833800],[5,18,"u","(8,5,3,2)",5012280,4699170,"exact",4699170,4699170],[5,18,"u","(8,5,3,1,1)",6432426,6061860,"exact",6061860,6061860],[5,18,"u","(8,5,2,2,1)",6126120,5808680,"exact",5808680,5808680],[5,18,"u","(8,5,2,1,1,1)",5361664,5117760,"exact",5117760,5117760],[5,18,"u","(8,5,1,1,1,1,1)",1575288,1519128,"exact",1519128,1519128],[5,18,"u","(8,4,4,2)",3007368,2847048,"exact",2847048,2847048],[5,18,"u","(8,4,4,1,1)",3646500,3468900,"exact",3468900,3468900],[5,18,"u","(8,4,3,3)",2598960,2477020,"exact",2477020,2477020],[5,18,"u","(8,4,3,2,1)",9801792,9408952,"exact",9408952,9408952],[5,18,"u","(8,4,3,1,1,1)",6872250,6635825,"exact",6635825,6635825],[5,18,"u","(8,4,2,2,2)",3978000,3846900,"exact",3846900,3846900],[5,18,"u","(8,4,2,2,1,1)",7634088,7407648,"exact",7407648,7407648],[5,18,"u","(8,4,2,1,1,1,1)",4862000,4747840,"exact",4747840,4747840],[5,18,"u","(8,4,1,1,1,1,1,1)",1225224,1206474,"exact",1206474,1206474],[5,18,"u","(8,3,3,3,1)",2858856,2770264,"exact",2770264,2770264],[5,18,"u","(8,3,3,2,2)",3508596,3414180,"exact",3414180,3414180],[5,18,"u","(8,3,3,2,1,1)",6361740,6209385,"exact",6209385,6209385],[5,18,"u","(8,3,3,1,1,1,1)",3281850,3221370,"exact",3221370,3221370],[5,18,"u","(8,3,2,2,2,1)",4230144,4152720,"exact",4152720,4152720],[5,18,"u","(8,3,2,2,1,1,1)",4725864,4655736,"exact",4655736,4655736],[5,18,"u","(8,3,2,1,1,1,1,1)",2489344,2465024,"exact",2465024,2465024],[5,18,"u","(8,3,1,1,1,1,1,1,1)",590733,588258,"exact",588258,588258],[5,18,"u","(8,2,2,2,2,2)",659736,652820,"exact",652820,652820],[5,18,"u","(8,2,2,2,2,1,1)",1432080,1419480,"exact",1419480,1419480],[5,18,"u","(8,2,2,2,1,1,1,1)",1225224,1218000,"exact",1218000,1218000],[5,18,"u","(8,2,2,1,1,1,1,1,1)",595595,594055,"exact",594055,594055],[5,18,"u","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[5,18,"u","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[5,18,"u","(7,7,4)",364650,331840,"exact",331840,331840],[5,18,"u","(7,7,3,1)",1312740,1211220,"exact",1211220,1211220],[5,18,"u","(7,7,2,2)",952952,884968,"exact",884968,884968],[5,18,"u","(7,7,2,1,1)",1503684,1403556,"exact",1403556,1403556],[5,18,"u","(7,7,1,1,1,1)",556920,524910,"exact",524910,524910],[5,18,"u","(7,6,5)",466752,432720,"exact",432720,432720],[5,18,"u","(7,6,4,1)",2756754,2597634,"exact",2597634,2597634],[5,18,"u","(7,6,3,2)",4200768,3993252,"exact",3993252,3993252],[5,18,"u","(7,6,3,1,1)",5346432,5103780,"exact",5103780,5103780],[5,18,"u","(7,6,2,2,1)",4950400,4749360,"exact",4749360,4749360],[5,18,"u","(7,6,2,1,1,1)",4288284,4136279,"exact",4136279,4136279],[5,18,"u","(7,6,1,1,1,1,1)",1233792,1199880,"exact",1199880,1199880],[5,18,"u","(7,5,5,1)",1575288,1497792,"exact",1497792,1497792],[5,18,"u","(7,5,4,2)",5250960,5049030,"exact",5049030,5049030],[5,18,"u","(7,5,4,1,1)",6265350,6046380,"exact",6046380,6046380],[5,18,"u","(7,5,3,3)",3675672,3552318,"exact",3552318,3552318],[5,18,"u","(7,5,3,2,1)",13366080,12986460,"exact",12986460,12986460],[5,18,"u","(7,5,3,1,1,1)",9189180,8967045,"exact",8967045,8967045],[5,18,"u","(7,5,2,2,2)",5012280,4896570,"exact",4896570,4896570],[5,18,"u","(7,5,2,2,1,1)",9529520,9332680,"exact",9332680,9332680],[5,18,"u","(7,5,2,1,1,1,1)",5937624,5841696,"exact",5841696,5841696],[5,18,"u","(7,5,1,1,1,1,1,1)",1432080,1417320,"exact",1417320,1417320],[5,18,"u","(7,4,4,3)",2858856,2778986,"exact",2778986,2778986],[5,18,"u","(7,4,4,2,1)",8486400,8288420,"exact",8288420,8288420],[5,18,"u","(7,4,4,1,1,1)",5469750,5362450,"exact",5362450,5362450],[5,18,"u","(7,4,3,3,1)",8019648,7862820,"exact",7862820,7862820],[5,18,"u","(7,4,3,2,2)",9165312,9011148,"exact",9011148,9011148],[5,18,"u","(7,4,3,2,1,1)",16336320,16094040,"exact",16094040,16094040],[5,18,"u","(7,4,3,1,1,1,1)",8078400,7987740,"exact",7987740,7987740],[5,18,"u","(7,4,2,2,2,1)",8576568,8481102,"exact",8481102,8481102],[5,18,"u","(7,4,2,2,1,1,1)",9382912,9299360,"exact",9299360,9299360],[5,18,"u","(7,4,2,1,1,1,1,1)",4725864,4698774,"exact",4698774,4698774],[5,18,"u","(7,4,1,1,1,1,1,1,1)",1018368,1015968,"exact",1015968,1015968],[5,18,"u","(7,3,3,3,2)",3508596,3466071,"exact",3466071,3466071],[5,18,"u","(7,3,3,3,1,1)",5105100,5051585,"exact",5051585,5051585],[5,18,"u","(7,3,3,2,2,1)",7876440,7808775,"exact",7808775,7808775],[5,18,"u","(7,3,3,2,1,1,1)",8078400,8024040,"exact",8024040,8024040],[5,18,"u","(7,3,3,1,1,1,1,1)",3281850,3268125,"exact",3268125,3268125],[5,18,"u","(7,3,2,2,2,2)",2784600,2769655,"exact",2769655,2769655],[5,18,"u","(7,3,2,2,2,1,1)",5937624,5911164,"exact",5911164,5911164],[5,18,"u","(7,3,2,2,1,1,1,1)",4862000,4847860,"exact",4847860,4847860],[5,18,"u","(7,3,2,1,1,1,1,1,1)",2144142,2141517,"exact",2141517,2141517],[5,18,"u","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[5,18,"u","(7,2,2,2,2,2,1)",1233792,1231440,"exact",1231440,1231440],[5,18,"u","(7,2,2,2,2,1,1,1)",1575288,1573272,"exact",1573272,1573272],[5,18,"u","(7,2,2,2,1,1,1,1,1)",1089088,1088528,"exact",1088528,1088528],[5,18,"u","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[5,18,"u","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[5,18,"u","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[5,18,"u","(6,6,6)",87516,82405,"exact",82405,82405],[5,18,"u","(6,6,5,1)",1021020,978140,"exact",978140,978140],[5,18,"u","(6,6,4,2)",2756754,2666910,"exact",2666910,2666910],[5,18,"u","(6,6,4,1,1)",3267264,3170716,"exact",3170716,3170716],[5,18,"u","(6,6,3,3)",1823250,1771600,"exact",1771600,1771600],[5,18,"u","(6,6,3,2,1)",6534528,6378508,"exact",6378508,6378508],[5,18,"u","(6,6,3,1,1,1)",4455360,4365160,"exact",4365160,4365160],[5,18,"u","(6,6,2,2,2)",2382380,2336390,"exact",2336390,2336390],[5,18,"u","(6,6,2,2,1,1)",4511052,4433337,"exact",4433337,4433337],[5,18,"u","(6,6,2,1,1,1,1)",2784600,2747280,"exact",2747280,2747280],[5,18,"u","(6,6,1,1,1,1,1,1)",659736,654150,"exact",654150,654150],[5,18,"u","(6,5,5,2)",2042040,1986430,"exact",1986430,1986430],[5,18,"u","(6,5,5,1,1)",2362932,2304858,"exact",2304858,2304858],[5,18,"u","(6,5,4,3)",3734016,3654080,"exact",3654080,3654080],[5,18,"u","(6,5,4,2,1)",10720710,10530310,"exact",10530310,10530310],[5,18,"u","(6,5,4,1,1,1)",6789120,6688360,"exact",6688360,6688360],[5,18,"u","(6,5,3,3,1)",8270262,8147982,"exact",8147982,8147982],[5,18,"u","(6,5,3,2,2)",9189180,9072900,"exact",9072900,9072900],[5,18,"u","(6,5,3,2,1,1)",16243500,16063075,"exact",16063075,16063075],[5,18,"u","(6,5,3,1,1,1,1)",7876440,7810800,"exact",7810800,7810800],[5,18,"u","(6,5,2,2,2,1)",7920640,7855240,"exact",7855240,7855240],[5,18,"u","(6,5,2,2,1,1,1)",8576568,8520288,"exact",8520288,8520288],[5,18,"u","(6,5,2,1,1,1,1,1)",4230144,4212480,"exact",4212480,4212480],[5,18,"u","(6,5,1,1,1,1,1,1,1)",875160,873690,"exact",873690,873690],[5,18,"u","(6,4,4,4)",1021020,1004615,"exact",1004615,1004615],[5,18,"u","(6,4,4,3,1)",7088796,7004439,"exact",7004439,7004439],[5,18,"u","(6,4,4,2,2)",6534528,6468492,"exact",6468492,6468492],[5,18,"u","(6,4,4,2,1,1)",11277630,11178405,"exact",11178405,11178405],[5,18,"u","(6,4,4,1,1,1,1)",5105100,5071885,"exact",5071885,5071885],[5,18,"u","(6,4,3,3,2)",7876440,7812900,"exact",7812900,7812900],[5,18,"u","(6,4,3,3,1,1)",11277630,11199555,"exact",11199555,11199555],[5,18,"u","(6,4,3,2,2,1)",16243500,16152150,"exact",16152150,16152150],[5,18,"u","(6,4,3,2,1,1,1)",16336320,16265060,"exact",16265060,16265060],[5,18,"u","(6,4,3,1,1,1,1,1)",6361740,6344790,"exact",6344790,6344790],[5,18,"u","(6,4,2,2,2,2)",4511052,4495518,"exact",4495518,4495518],[5,18,"u","(6,4,2,2,2,1,1)",9529520,9502430,"exact",9502430,9502430],[5,18,"u","(6,4,2,2,1,1,1,1)",7634088,7620102,"exact",7620102,7620102],[5,18,"u","(6,4,2,1,1,1,1,1,1)",3222180,3219750,"exact",3219750,3219750],[5,18,"u","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[5,18,"u","(6,3,3,3,3)",1429428,1422293,"exact",1422293,1422293],[5,18,"u","(6,3,3,3,2,1)",6789120,6763960,"exact",6763960,6763960],[5,18,"u","(6,3,3,3,1,1,1)",5469750,5454600,"exact",5454600,5454600],[5,18,"u","(6,3,3,2,2,2)",4455360,4444080,"exact",4444080,4444080],[5,18,"u","(6,3,3,2,2,1,1)",9189180,9170175,"exact",9170175,9170175],[5,18,"u","(6,3,3,2,1,1,1,1)",6872250,6863325,"exact",6863325,6863325],[5,18,"u","(6,3,3,1,1,1,1,1,1)",2333760,2332560,"exact",2332560,2332560],[5,18,"u","(6,3,2,2,2,2,1)",4288284,4283951,"exact",4283951,4283951],[5,18,"u","(6,3,2,2,2,1,1,1)",5361664,5358080,"exact",5358080,5358080],[5,18,"u","(6,3,2,2,1,1,1,1,1)",3544398,3543453,"exact",3543453,3543453],[5,18,"u","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[5,18,"u","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[5,18,"u","(6,2,2,2,2,2,2)",556920,556780,"exact",556780,556780],[5,18,"u","(6,2,2,2,2,2,1,1)",1272348,1272138,"exact",1272138,1272138],[5,18,"u","(6,2,2,2,2,1,1,1,1)",1215500,1215430,"exact",1215430,1215430],[5,18,"u","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[5,18,"u","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[5,18,"u","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[5,18,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[5,18,"u","(5,5,5,3)",875160,861050,"exact",861050,861050],[5,18,"u","(5,5,5,2,1)",2333760,2302820,"exact",2302820,2302820],[5,18,"u","(5,5,5,1,1,1)",1429428,1413727,"exact",1413727,1413727],[5,18,"u","(5,5,4,4)",787644,777180,"exact",777180,777180],[5,18,"u","(5,5,4,3,1)",5105100,5055190,"exact",5055190,5055190],[5,18,"u","(5,5,4,2,2)",4594590,4556580,"exact",4556580,4556580],[5,18,"u","(5,5,4,2,1,1)",7876440,7819875,"exact",7819875,7819875],[5,18,"u","(5,5,4,1,1,1,1)",3508596,3490074,"exact",3490074,3490074],[5,18,"u","(5,5,3,3,2)",4594590,4564380,"exact",4564380,4564380],[5,18,"u","(5,5,3,3,1,1)",6534528,6497768,"exact",6497768,6497768],[5,18,"u","(5,5,3,2,2,1)",9189180,9147360,"exact",9147360,9147360],[5,18,"u","(5,5,3,2,1,1,1)",9165312,9133092,"exact",9133092,9133092],[5,18,"u","(5,5,3,1,1,1,1,1)",3508596,3501120,"exact",3501120,3501120],[5,18,"u","(5,5,2,2,2,2)",2382380,2375800,"exact",2375800,2375800],[5,18,"u","(5,5,2,2,2,1,1)",5012280,5000880,"exact",5000880,5000880],[5,18,"u","(5,5,2,2,1,1,1,1)",3978000,3972200,"exact",3972200,3972200],[5,18,"u","(5,5,2,1,1,1,1,1,1)",1649340,1648360,"exact",1648360,1648360],[5,18,"u","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[5,18,"u","(5,4,4,4,1)",1867008,1854020,"exact",1854020,1854020],[5,18,"u","(5,4,4,3,2)",5105100,5078715,"exact",5078715,5078715],[5,18,"u","(5,4,4,3,1,1)",7088796,7057701,"exact",7057701,7057701],[5,18,"u","(5,4,4,2,2,1)",8270262,8241153,"exact",8241153,8241153],[5,18,"u","(5,4,4,2,1,1,1)",8019648,7998060,"exact",7998060,7998060],[5,18,"u","(5,4,4,1,1,1,1,1)",2858856,2854271,"exact",2854271,2854271],[5,18,"u","(5,4,3,3,3)",2333760,2325420,"exact",2325420,2325420],[5,18,"u","(5,4,3,3,2,1)",10720710,10692510,"exact",10692510,10692510],[5,18,"u","(5,4,3,3,1,1,1)",8486400,8469820,"exact",8469820,8469820],[5,18,"u","(5,4,3,2,2,2)",6534528,6522912,"exact",6522912,6522912],[5,18,"u","(5,4,3,2,2,1,1)",13366080,13346760,"exact",13346760,13346760],[5,18,"u","(5,4,3,2,1,1,1,1)",9801792,9792968,"exact",9792968,9792968],[5,18,"u","(5,4,3,1,1,1,1,1,1)",3198720,3197600,"exact",3197600,3197600],[5,18,"u","(5,4,2,2,2,2,1)",4950400,4946960,"exact",4946960,4946960],[5,18,"u","(5,4,2,2,2,1,1,1)",6126120,6123320,"exact",6123320,6123320],[5,18,"u","(5,4,2,2,1,1,1,1,1)",3965760,3965040,"exact",3965040,3965040],[5,18,"u","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[5,18,"u","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[5,18,"u","(5,3,3,3,3,1)",2362932,2359542,"exact",2359542,2359542],[5,18,"u","(5,3,3,3,2,2)",3267264,3263744,"exact",3263744,3263744],[5,18,"u","(5,3,3,3,2,1,1)",6265350,6259980,"exact",6259980,6259980],[5,18,"u","(5,3,3,3,1,1,1,1)",3646500,3644650,"exact",3644650,3644650],[5,18,"u","(5,3,3,2,2,2,1)",5346432,5343840,"exact",5343840,5343840],[5,18,"u","(5,3,3,2,2,1,1,1)",6432426,6430410,"exact",6430410,6430410],[5,18,"u","(5,3,3,2,1,1,1,1,1)",3877632,3877152,"exact",3877152,3877152],[5,18,"u","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[5,18,"u","(5,3,2,2,2,2,2)",1503684,1503474,"exact",1503474,1503474],[5,18,"u","(5,3,2,2,2,2,1,1)",3403400,3403085,"exact",3403085,3403085],[5,18,"u","(5,3,2,2,2,1,1,1,1)",3180870,3180765,"exact",3180765,3180765],[5,18,"u","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[5,18,"u","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[5,18,"u","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[5,18,"u","(5,2,2,2,2,2,2,1)",612612,612612,"exact",612612,612612],[5,18,"u","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[5,18,"u","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[5,18,"u","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[5,18,"u","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[5,18,"u","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[5,18,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[5,18,"u","(4,4,4,4,2)",787644,785145,"exact",785145,785145],[5,18,"u","(4,4,4,4,1,1)",1021020,1018315,"exact",1018315,1018315],[5,18,"u","(4,4,4,3,3)",875160,873000,"exact",873000,873000],[5,18,"u","(4,4,4,3,2,1)",3734016,3727320,"exact",3727320,3727320],[5,18,"u","(4,4,4,3,1,1,1)",2858856,2855084,"exact",2855084,2855084],[5,18,"u","(4,4,4,2,2,2)",1823250,1821075,"exact",1821075,1821075],[5,18,"u","(4,4,4,2,2,1,1)",3675672,3672132,"exact",3672132,3672132],[5,18,"u","(4,4,4,2,1,1,1,1)",2598960,2597420,"exact",2597420,2597420],[5,18,"u","(4,4,4,1,1,1,1,1,1)",779688,779513,"exact",779513,779513],[5,18,"u","(4,4,3,3,3,1)",2042040,2039760,"exact",2039760,2039760],[5,18,"u","(4,4,3,3,2,2)",2756754,2754450,"exact",2754450,2754450],[5,18,"u","(4,4,3,3,2,1,1)",5250960,5247480,"exact",5247480,5247480],[5,18,"u","(4,4,3,3,1,1,1,1)",3007368,3006192,"exact",3006192,3006192],[5,18,"u","(4,4,3,2,2,2,1)",4200768,4199208,"exact",4199208,4199208],[5,18,"u","(4,4,3,2,2,1,1,1)",5012280,5011080,"exact",5011080,5011080],[5,18,"u","(4,4,3,2,1,1,1,1,1)",2970240,2969960,"exact",2969960,2969960],[5,18,"u","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[5,18,"u","(4,4,2,2,2,2,2)",952952,952852,"exact",952852,952852],[5,18,"u","(4,4,2,2,2,2,1,1)",2148120,2147970,"exact",2147970,2147970],[5,18,"u","(4,4,2,2,2,1,1,1,1)",1989000,1988950,"exact",1988950,1988950],[5,18,"u","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[5,18,"u","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[5,18,"u","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[5,18,"u","(4,3,3,3,3,2)",1021020,1020610,"exact",1020610,1020610],[5,18,"u","(4,3,3,3,3,1,1)",1575288,1574808,"exact",1574808,1574808],[5,18,"u","(4,3,3,3,2,2,1)",2756754,2756196,"exact",2756196,2756196],[5,18,"u","(4,3,3,3,2,1,1,1)",3055104,3054720,"exact",3054720,3054720],[5,18,"u","(4,3,3,3,1,1,1,1,1)",1429428,1429358,"exact",1429358,1429358],[5,18,"u","(4,3,3,2,2,2,2)",1312740,1312650,"exact",1312650,1312650],[5,18,"u","(4,3,3,2,2,2,1,1)",2923830,2923695,"exact",2923695,2923695],[5,18,"u","(4,3,3,2,2,1,1,1,1)",2625480,2625435,"exact",2625435,2625435],[5,18,"u","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[5,18,"u","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[5,18,"u","(4,3,2,2,2,2,2,1)",1131520,1131520,"exact",1131520,1131520],[5,18,"u","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[5,18,"u","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[5,18,"u","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[5,18,"u","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[5,18,"u","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[5,18,"u","(4,2,2,2,2,2,2,2)",143208,143208,"exact",143208,143208],[5,18,"u","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[5,18,"u","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[5,18,"u","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[5,18,"u","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[5,18,"u","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[5,18,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[5,18,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[5,18,"u","(3,3,3,3,3,3)",87516,87505,"exact",87505,87505],[5,18,"u","(3,3,3,3,3,2,1)",466752,466720,"exact",466720,466720],[5,18,"u","(3,3,3,3,3,1,1,1)",408408,408392,"exact",408392,408392],[5,18,"u","(3,3,3,3,2,2,2)",364650,364640,"exact",364640,364640],[5,18,"u","(3,3,3,3,2,2,1,1)",787644,787629,"exact",787629,787629],[5,18,"u","(3,3,3,3,2,1,1,1,1)",649740,649735,"exact",649735,649735],[5,18,"u","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[5,18,"u","(3,3,3,2,2,2,2,1)",510510,510510,"exact",510510,510510],[5,18,"u","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[5,18,"u","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[5,18,"u","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[5,18,"u","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[5,18,"u","(3,3,2,2,2,2,2,2)",136136,136136,"exact",136136,136136],[5,18,"u","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[5,18,"u","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[5,18,"u","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[5,18,"u","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[5,18,"u","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[5,18,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[5,18,"u","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[5,18,"u","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[5,18,"u","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[5,18,"u","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[5,18,"u","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[5,18,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[5,18,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[5,18,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[5,18,"u","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[5,18,"u","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[5,18,"u","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[5,18,"u","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[5,18,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[5,18,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[5,18,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[5,18,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[5,18,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[5,18,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,19,"u","(14,5)",7752,2002,"exact",2002,2002],[5,19,"u","(14,1,1,1,1,1)",8568,2002,"exact",2002,2002],[5,19,"u","(13,6)",15504,7436,"exact",7436,7436],[5,19,"u","(10,9)",16796,12514,"exact",12514,12514],[5,19,"u","(13,1,1,1,1,1,1)",18564,11011,"exact",11011,11011],[5,19,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,19,"u","(15,1,1,1,1)",3060,0,"exact",0,0],[5,19,"u","(15,2,1,1)",9044,0,"exact",0,0],[5,19,"u","(15,2,2)",5985,0,"exact",0,0],[5,19,"u","(15,3,1)",8892,0,"exact",0,0],[5,19,"u","(15,4)",2907,0,"exact",0,0],[5,19,"u","(16,1,1,1)",816,0,"exact",0,0],[5,19,"u","(16,2,1)",1615,0,"exact",0,0],[5,19,"u","(16,3)",798,0,"exact",0,0],[5,19,"u","(17,1,1)",153,0,"exact",0,0],[5,19,"u","(17,2)",152,0,"exact",0,0],[5,19,"u","(18,1)",18,0,"exact",0,0],[5,19,"u","(19)",1,0,"exact",0,0],[5,19,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[5,19,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",152,152,"exact",152,152],[5,19,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",798,798,"exact",798,798],[5,19,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",2907,2907,"exact",2907,2907],[5,19,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1)",7752,7752,"exact",7752,7752],[5,19,"u","(2,2,2,2,2,2,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[5,19,"u","(2,2,2,2,2,2,2,2,2,1)",16796,16796,"exact",16796,16796],[5,19,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[5,19,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1615,1615,"exact",1615,1615],[5,19,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",8892,8892,"exact",8892,8892],[5,19,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[5,19,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",816,816,"exact",816,816],[5,19,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",9044,9044,"exact",9044,9044],[5,19,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3060,3060,"exact",3060,3060],[5,19,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1)",8568,8568,"exact",8568,8568],[5,19,"u","(7,1,1,1,1,1,1,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[5,20,"u","(15,5)",10659,3003,"exact",3003,3003],[5,20,"u","(15,1,1,1,1,1)",11628,3003,"exact",3003,3003],[5,20,"u","(10,10)",16796,13690,"exact",13690,13690],[5,20,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,20,"u","(16,1,1,1,1)",3876,0,"exact",0,0],[5,20,"u","(16,2,1,1)",11475,0,"exact",0,0],[5,20,"u","(16,2,2)",7600,0,"exact",0,0],[5,20,"u","(16,3,1)",11305,0,"exact",0,0],[5,20,"u","(16,4)",3705,0,"exact",0,0],[5,20,"u","(17,1,1,1)",969,0,"exact",0,0],[5,20,"u","(17,2,1)",1920,0,"exact",0,0],[5,20,"u","(17,3)",950,0,"exact",0,0],[5,20,"u","(18,1,1)",171,0,"exact",0,0],[5,20,"u","(18,2)",170,0,"exact",0,0],[5,20,"u","(19,1)",19,0,"exact",0,0],[5,20,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[5,20,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",170,170,"exact",170,170],[5,20,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",950,950,"exact",950,950],[5,20,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",3705,3705,"exact",3705,3705],[5,20,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1)",10659,10659,"exact",10659,10659],[5,20,"u","(2,2,2,2,2,2,2,2,2,2)",16796,16796,"exact",16796,16796],[5,20,"u","(20)",1,0,"exact",0,0],[5,20,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",171,171,"exact",171,171],[5,20,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1920,1920,"exact",1920,1920],[5,20,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",11305,11305,"exact",11305,11305],[5,20,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7600,7600,"exact",7600,7600],[5,20,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",969,969,"exact",969,969],[5,20,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11475,11475,"exact",11475,11475],[5,20,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3876,3876,"exact",3876,3876],[5,20,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11628,11628,"exact",11628,11628],[5,21,"u","(16,5)",14364,4368,"exact",4368,4368],[5,21,"u","(16,1,1,1,1,1)",15504,4368,"exact",4368,4368],[5,21,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,21,"u","(17,1,1,1,1)",4845,0,"exact",0,0],[5,21,"u","(17,2,1,1)",14364,0,"exact",0,0],[5,21,"u","(17,2,2)",9520,0,"exact",0,0],[5,21,"u","(17,3,1)",14175,0,"exact",0,0],[5,21,"u","(17,4)",4655,0,"exact",0,0],[5,21,"u","(18,1,1,1)",1140,0,"exact",0,0],[5,21,"u","(18,2,1)",2261,0,"exact",0,0],[5,21,"u","(18,3)",1120,0,"exact",0,0],[5,21,"u","(19,1,1)",190,0,"exact",0,0],[5,21,"u","(19,2)",189,0,"exact",0,0],[5,21,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",20,20,"exact",20,20],[5,21,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",189,189,"exact",189,189],[5,21,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1120,1120,"exact",1120,1120],[5,21,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",4655,4655,"exact",4655,4655],[5,21,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[5,21,"u","(20,1)",20,0,"exact",0,0],[5,21,"u","(21)",1,0,"exact",0,0],[5,21,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",190,190,"exact",190,190],[5,21,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2261,2261,"exact",2261,2261],[5,21,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14175,14175,"exact",14175,14175],[5,21,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",9520,9520,"exact",9520,9520],[5,21,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1140,1140,"exact",1140,1140],[5,21,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[5,21,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4845,4845,"exact",4845,4845],[5,21,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[5,22,"u","(17,5)",19019,6188,"exact",6188,6188],[5,22,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,22,"u","(18,1,1,1,1)",5985,0,"exact",0,0],[5,22,"u","(18,2,1,1)",17765,0,"exact",0,0],[5,22,"u","(18,2,2)",11781,0,"exact",0,0],[5,22,"u","(18,3,1)",17556,0,"exact",0,0],[5,22,"u","(18,4)",5775,0,"exact",0,0],[5,22,"u","(19,1,1,1)",1330,0,"exact",0,0],[5,22,"u","(19,2,1)",2640,0,"exact",0,0],[5,22,"u","(19,3)",1309,0,"exact",0,0],[5,22,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",21,21,"exact",21,21],[5,22,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",209,209,"exact",209,209],[5,22,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1309,1309,"exact",1309,1309],[5,22,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5775,5775,"exact",5775,5775],[5,22,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",19019,19019,"exact",19019,19019],[5,22,"u","(20,1,1)",210,0,"exact",0,0],[5,22,"u","(20,2)",209,0,"exact",0,0],[5,22,"u","(21,1)",21,0,"exact",0,0],[5,22,"u","(22)",1,0,"exact",0,0],[5,22,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",210,210,"exact",210,210],[5,22,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[5,22,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17556,17556,"exact",17556,17556],[5,22,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11781,11781,"exact",11781,11781],[5,22,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1330,1330,"exact",1330,1330],[5,22,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17765,17765,"exact",17765,17765],[5,22,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[5,23,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,23,"u","(19,1,1,1,1)",7315,0,"exact",0,0],[5,23,"u","(19,2,2)",14421,0,"exact",0,0],[5,23,"u","(19,4)",7084,0,"exact",0,0],[5,23,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",22,22,"exact",22,22],[5,23,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",230,230,"exact",230,230],[5,23,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1518,1518,"exact",1518,1518],[5,23,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7084,7084,"exact",7084,7084],[5,23,"u","(20,1,1,1)",1540,0,"exact",0,0],[5,23,"u","(20,2,1)",3059,0,"exact",0,0],[5,23,"u","(20,3)",1518,0,"exact",0,0],[5,23,"u","(21,1,1)",231,0,"exact",0,0],[5,23,"u","(21,2)",230,0,"exact",0,0],[5,23,"u","(22,1)",22,0,"exact",0,0],[5,23,"u","(23)",1,0,"exact",0,0],[5,23,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",231,231,"exact",231,231],[5,23,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3059,3059,"exact",3059,3059],[5,23,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14421,14421,"exact",14421,14421],[5,23,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1540,1540,"exact",1540,1540],[5,23,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7315,7315,"exact",7315,7315],[5,24,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,24,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",23,23,"exact",23,23],[5,24,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",252,252,"exact",252,252],[5,24,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1748,1748,"exact",1748,1748],[5,24,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8602,8602,"exact",8602,8602],[5,24,"u","(20,1,1,1,1)",8855,0,"exact",0,0],[5,24,"u","(20,2,2)",17480,0,"exact",0,0],[5,24,"u","(20,4)",8602,0,"exact",0,0],[5,24,"u","(21,1,1,1)",1771,0,"exact",0,0],[5,24,"u","(21,2,1)",3520,0,"exact",0,0],[5,24,"u","(21,3)",1748,0,"exact",0,0],[5,24,"u","(22,1,1)",253,0,"exact",0,0],[5,24,"u","(22,2)",252,0,"exact",0,0],[5,24,"u","(23,1)",23,0,"exact",0,0],[5,24,"u","(24)",1,0,"exact",0,0],[5,24,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",253,253,"exact",253,253],[5,24,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3520,3520,"exact",3520,3520],[5,24,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17480,17480,"exact",17480,17480],[5,24,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1771,1771,"exact",1771,1771],[5,24,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8855,8855,"exact",8855,8855],[5,25,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,25,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",24,24,"exact",24,24],[5,25,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",275,275,"exact",275,275],[5,25,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2000,2000,"exact",2000,2000],[5,25,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10350,10350,"exact",10350,10350],[5,25,"u","(21,1,1,1,1)",10626,0,"exact",0,0],[5,25,"u","(21,4)",10350,0,"exact",0,0],[5,25,"u","(22,1,1,1)",2024,0,"exact",0,0],[5,25,"u","(22,2,1)",4025,0,"exact",0,0],[5,25,"u","(22,3)",2000,0,"exact",0,0],[5,25,"u","(23,1,1)",276,0,"exact",0,0],[5,25,"u","(23,2)",275,0,"exact",0,0],[5,25,"u","(24,1)",24,0,"exact",0,0],[5,25,"u","(25)",1,0,"exact",0,0],[5,25,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",276,276,"exact",276,276],[5,25,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4025,4025,"exact",4025,4025],[5,25,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2024,2024,"exact",2024,2024],[5,25,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10626,10626,"exact",10626,10626],[5,26,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,26,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",25,25,"exact",25,25],[5,26,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",299,299,"exact",299,299],[5,26,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2275,2275,"exact",2275,2275],[5,26,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12350,12350,"exact",12350,12350],[5,26,"u","(22,1,1,1,1)",12650,0,"exact",0,0],[5,26,"u","(22,4)",12350,0,"exact",0,0],[5,26,"u","(23,1,1,1)",2300,0,"exact",0,0],[5,26,"u","(23,2,1)",4576,0,"exact",0,0],[5,26,"u","(23,3)",2275,0,"exact",0,0],[5,26,"u","(24,1,1)",300,0,"exact",0,0],[5,26,"u","(24,2)",299,0,"exact",0,0],[5,26,"u","(25,1)",25,0,"exact",0,0],[5,26,"u","(26)",1,0,"exact",0,0],[5,26,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",300,300,"exact",300,300],[5,26,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4576,4576,"exact",4576,4576],[5,26,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2300,2300,"exact",2300,2300],[5,26,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12650,12650,"exact",12650,12650],[5,27,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,27,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",26,26,"exact",26,26],[5,27,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",324,324,"exact",324,324],[5,27,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2574,2574,"exact",2574,2574],[5,27,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14625,14625,"exact",14625,14625],[5,27,"u","(23,1,1,1,1)",14950,0,"exact",0,0],[5,27,"u","(23,4)",14625,0,"exact",0,0],[5,27,"u","(24,1,1,1)",2600,0,"exact",0,0],[5,27,"u","(24,2,1)",5175,0,"exact",0,0],[5,27,"u","(24,3)",2574,0,"exact",0,0],[5,27,"u","(25,1,1)",325,0,"exact",0,0],[5,27,"u","(25,2)",324,0,"exact",0,0],[5,27,"u","(26,1)",26,0,"exact",0,0],[5,27,"u","(27)",1,0,"exact",0,0],[5,27,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",325,325,"exact",325,325],[5,27,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5175,5175,"exact",5175,5175],[5,27,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2600,2600,"exact",2600,2600],[5,27,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14950,14950,"exact",14950,14950],[5,28,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,28,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",27,27,"exact",27,27],[5,28,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[5,28,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2898,2898,"exact",2898,2898],[5,28,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17199,17199,"exact",17199,17199],[5,28,"u","(24,1,1,1,1)",17550,0,"exact",0,0],[5,28,"u","(24,4)",17199,0,"exact",0,0],[5,28,"u","(25,1,1,1)",2925,0,"exact",0,0],[5,28,"u","(25,2,1)",5824,0,"exact",0,0],[5,28,"u","(25,3)",2898,0,"exact",0,0],[5,28,"u","(26,1,1)",351,0,"exact",0,0],[5,28,"u","(26,2)",350,0,"exact",0,0],[5,28,"u","(27,1)",27,0,"exact",0,0],[5,28,"u","(28)",1,0,"exact",0,0],[5,28,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",351,351,"exact",351,351],[5,28,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5824,5824,"exact",5824,5824],[5,28,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[5,28,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17550,17550,"exact",17550,17550],[5,29,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,29,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",28,28,"exact",28,28],[5,29,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",377,377,"exact",377,377],[5,29,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3248,3248,"exact",3248,3248],[5,29,"u","(26,1,1,1)",3276,0,"exact",0,0],[5,29,"u","(26,2,1)",6525,0,"exact",0,0],[5,29,"u","(26,3)",3248,0,"exact",0,0],[5,29,"u","(27,1,1)",378,0,"exact",0,0],[5,29,"u","(27,2)",377,0,"exact",0,0],[5,29,"u","(28,1)",28,0,"exact",0,0],[5,29,"u","(29)",1,0,"exact",0,0],[5,29,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",378,378,"exact",378,378],[5,29,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",6525,6525,"exact",6525,6525],[5,29,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3276,3276,"exact",3276,3276],[5,30,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,30,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",29,29,"exact",29,29],[5,30,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",405,405,"exact",405,405],[5,30,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3625,3625,"exact",3625,3625],[5,30,"u","(27,1,1,1)",3654,0,"exact",0,0],[5,30,"u","(27,2,1)",7280,0,"exact",0,0],[5,30,"u","(27,3)",3625,0,"exact",0,0],[5,30,"u","(28,1,1)",406,0,"exact",0,0],[5,30,"u","(28,2)",405,0,"exact",0,0],[5,30,"u","(29,1)",29,0,"exact",0,0],[5,30,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",406,406,"exact",406,406],[5,30,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7280,7280,"exact",7280,7280],[5,30,"u","(30)",1,0,"exact",0,0],[5,30,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3654,3654,"exact",3654,3654],[5,31,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[5,31,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",30,30,"exact",30,30],[5,31,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",434,434,"exact",434,434],[5,31,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4030,4030,"exact",4030,4030],[5,31,"u","(28,1,1,1)",4060,0,"exact",0,0],[5,31,"u","(28,2,1)",8091,0,"exact",0,0],[5,31,"u","(28,3)",4030,0,"exact",0,0],[5,31,"u","(29,1,1)",435,0,"exact",0,0],[5,31,"u","(29,2)",434,0,"exact",0,0],[5,31,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",435,435,"exact",435,435],[5,31,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8091,8091,"exact",8091,8091],[5,31,"u","(30,1)",30,0,"exact",0,0],[5,31,"u","(31)",1,0,"exact",0,0],[5,31,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4060,4060,"exact",4060,4060],[6,15,"e","(15)",1,0,"exact",0,0],[6,15,"e","(14,1)",14,0,"exact",0,0],[6,15,"e","(13,2)",90,0,"exact",0,0],[6,15,"e","(13,1,1)",91,0,"exact",0,0],[6,15,"e","(12,3)",350,0,"exact",0,0],[6,15,"e","(12,2,1)",715,0,"exact",0,0],[6,15,"e","(12,1,1,1)",364,0,"exact",0,0],[6,15,"e","(11,4)",910,0,"exact",0,0],[6,15,"e","(11,3,1)",2835,0,"exact",0,0],[6,15,"e","(11,2,2)",1925,0,"exact",0,0],[6,15,"e","(11,2,1,1)",2925,0,"exact",0,0],[6,15,"e","(11,1,1,1,1)",1001,0,"exact",0,0],[6,15,"e","(10,5)",1638,0,"exact",0,0],[6,15,"e","(10,4,1)",7007,0,"exact",0,0],[6,15,"e","(10,3,2)",9100,0,"exact",0,0],[6,15,"e","(10,3,1,1)",11088,0,"exact",0,0],[6,15,"e","(10,2,2,1)",9450,0,"exact",0,0],[6,15,"e","(10,2,1,1,1)",7722,0,"exact",0,0],[6,15,"e","(10,1,1,1,1,1)",2002,0,"exact",0,0],[6,15,"e","(9,6)",2002,0,"exact",0,0],[6,15,"e","(9,5,1)",11375,0,"exact",0,0],[6,15,"e","(9,4,2)",22113,756,"upper bound",0,756],[6,15,"e","(9,4,1,1)",25025,840,"upper bound",0,840],[6,15,"e","(9,3,3)",12740,0,"exact",0,0],[6,15,"e","(9,3,2,1)",42042,1344,"upper bound",0,1344],[6,15,"e","(9,3,1,1,1)",26950,840,"upper bound",0,840],[6,15,"e","(9,2,2,2)",13650,0,"exact",0,0],[6,15,"e","(9,2,2,1,1)",24948,756,"upper bound",0,756],[6,15,"e","(9,2,1,1,1,1)",14300,0,"exact",0,0],[6,15,"e","(9,1,1,1,1,1,1)",3003,0,"exact",0,0],[6,15,"e","(8,7)",1430,0,"exact",0,0],[6,15,"e","(8,6,1)",11583,0,"exact",0,0],[6,15,"e","(8,5,2)",32032,3024,"upper bound",0,3024],[6,15,"e","(8,5,1,1)",35100,3480,"upper bound",0,3480],[6,15,"e","(8,4,3)",35035,3360,"upper bound",0,3360],[6,15,"e","(8,4,2,1)",91000,9240,"upper bound",0,9240],[6,15,"e","(8,4,1,1,1)",53625,5760,"upper bound",0,5760],[6,15,"e","(8,3,3,1)",57330,5880,"upper bound",0,5880],[6,15,"e","(8,3,2,2)",58968,6216,"upper bound",0,6216],[6,15,"e","(8,3,2,1,1)",100100,10920,"upper bound",0,10920],[6,15,"e","(8,3,1,1,1,1)",44550,5160,"upper bound",0,5160],[6,15,"e","(8,2,2,2,1)",42042,4704,"upper bound",0,4704],[6,15,"e","(8,2,2,1,1,1)",43120,5040,"upper bound",0,5040],[6,15,"e","(8,2,1,1,1,1,1)",19305,0,"exact",0,0],[6,15,"e","(8,1,1,1,1,1,1,1)",3432,0,"exact",0,0],[6,15,"e","(7,7,1)",5005,0,"exact",0,0],[6,15,"e","(7,6,2)",25025,3675,"upper bound",0,3675],[6,15,"e","(7,6,1,1)",27027,4179,"upper bound",0,4179],[6,15,"e","(7,5,3)",45045,7245,"upper bound",0,7245],[6,15,"e","(7,5,2,1)",108108,18816,"upper bound",0,18816],[6,15,"e","(7,5,1,1,1)",61425,11445,"upper bound",0,11445],[6,15,"e","(7,4,4)",25025,4200,"upper bound",0,4200],[6,15,"e","(7,4,3,1)",135135,25095,"upper bound",0,25095],[6,15,"e","(7,4,2,2)",112112,21924,"upper bound",0,21924],[6,15,"e","(7,4,2,1,1)",184275,37485,"upper bound",0,37485],[6,15,"e","(7,4,1,1,1,1)",75075,16590,"upper bound",0,16590],[6,15,"e","(7,3,3,2)",90090,18375,"upper bound",0,18375],[6,15,"e","(7,3,3,1,1)",122850,26040,"upper bound",0,26040],[6,15,"e","(7,3,2,2,1)",159250,35385,"upper bound",0,35385],[6,15,"e","(7,3,2,1,1,1)",150150,35280,"upper bound",0,35280],[6,15,"e","(7,3,1,1,1,1,1)",51975,13440,"upper bound",0,13440],[6,15,"e","(7,2,2,2,2)",34398,8316,"upper bound",0,8316],[6,15,"e","(7,2,2,2,1,1)",70070,17535,"upper bound",0,17535],[6,15,"e","(6,6,3)",21450,4300,"upper bound",0,4300],[6,15,"e","(6,6,2,1)",50050,10850,"upper bound",0,10850],[6,15,"e","(6,6,1,1,1)",28028,6496,"upper bound",0,6496],[6,15,"e","(6,5,4)",30030,6680,"upper bound",0,6680],[6,15,"e","(6,5,3,1)",128700,31950,"upper bound",0,31950],[6,15,"e","(6,5,2,2)",100100,26200,"upper bound",0,26200],[6,15,"e","(6,5,2,1,1)",162162,44184,"upper bound",0,44184],[6,15,"e","(6,5,1,1,1,1)",63700,18830,"upper bound",0,18830],[6,15,"e","(6,4,4,1)",80080,21220,"upper bound",0,21220],[6,15,"e","(6,4,3,2)",175175,50450,"upper bound",0,50450],[6,15,"e","(6,4,3,1,1)",231660,69360,"upper bound",0,69360],[6,15,"e","(6,4,2,2,1)",243243,76626,"upper bound",0,76626],[6,15,"e","(6,4,2,1,1,1)",221130,73710,"upper bound",0,73710],[6,15,"e","(6,3,3,3)",50050,15750,"upper bound",0,15750],[6,15,"e","(6,3,3,2,1)",210210,70300,"upper bound",0,70300],[6,15,"e","(6,3,2,2,2)",112112,40184,"upper bound",0,40184],[6,15,"e","(5,5,5)",6006,0,"exact",0,0],[6,15,"e","(5,5,4,1)",54054,16638,"upper bound",0,16638],[6,15,"e","(5,5,3,2)",96525,32250,"upper bound",0,32250],[6,15,"e","(5,5,3,1,1)",126126,43812,"upper bound",0,43812],[6,15,"e","(5,5,2,2,1)",125125,45650,"upper bound",0,45650],[6,15,"e","(5,4,4,2)",81081,29277,"upper bound",0,29277],[6,15,"e","(5,4,4,1,1)",100100,37550,"upper bound",0,37550],[6,15,"e","(5,4,3,3)",75075,28675,"upper bound",0,28675],[6,23,"e","(6,6,6,4,1)",981608628,1,"lower bound",1,981608628],[6,12,"f","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,12,"f","(2,1,1,1,1,1,1,1,1,1,1)",11,0,"exact",0,0],[6,12,"f","(2,2,1,1,1,1,1,1,1,1)",54,0,"exact",0,0],[6,12,"f","(2,2,2,1,1,1,1,1,1)",154,0,"exact",0,0],[6,12,"f","(2,2,2,2,1,1,1,1)",275,0,"exact",0,0],[6,12,"f","(2,2,2,2,2,1,1)",297,0,"exact",0,0],[6,12,"f","(2,2,2,2,2,2)",132,0,"exact",0,0],[6,12,"f","(3,1,1,1,1,1,1,1,1,1)",55,0,"exact",0,0],[6,12,"f","(3,2,1,1,1,1,1,1,1)",320,0,"exact",0,0],[6,12,"f","(3,2,2,1,1,1,1,1)",891,0,"exact",0,0],[6,12,"f","(3,2,2,2,1,1,1)",1408,0,"exact",0,0],[6,12,"f","(3,2,2,2,2,1)",1155,0,"exact",0,0],[6,12,"f","(3,3,1,1,1,1,1,1)",616,0,"exact",0,0],[6,12,"f","(3,3,2,1,1,1,1)",1925,0,"exact",0,0],[6,12,"f","(3,3,2,2,1,1)",2673,0,"exact",0,0],[6,12,"f","(3,3,2,2,2)",1320,0,"exact",0,0],[6,12,"f","(3,3,3,1,1,1)",1650,0,"exact",0,0],[6,12,"f","(3,3,3,2,1)",2112,0,"exact",0,0],[6,12,"f","(3,3,3,3)",462,0,"exact",0,0],[6,12,"f","(4,1,1,1,1,1,1,1,1)",165,0,"exact",0,0],[6,12,"f","(4,2,1,1,1,1,1,1)",945,0,"exact",0,0],[6,12,"f","(4,2,2,1,1,1,1)",2376,0,"exact",0,0],[6,12,"f","(4,2,2,2,1,1)",3080,0,"exact",0,0],[6,12,"f","(4,2,2,2,2)",1485,0,"exact",0,0],[6,12,"f","(4,3,1,1,1,1,1)",2079,0,"exact",0,0],[6,12,"f","(4,3,2,1,1,1)",5632,0,"exact",0,0],[6,12,"f","(4,3,2,2,1)",5775,0,"exact",0,0],[6,12,"f","(4,3,3,1,1)",4158,0,"exact",0,0],[6,12,"f","(4,3,3,2)",2970,0,"exact",0,0],[6,12,"f","(4,4,1,1,1,1)",1925,0,"exact",0,0],[6,12,"f","(4,4,2,1,1)",4455,0,"exact",0,0],[6,12,"f","(4,4,2,2)",2640,0,"exact",0,0],[6,12,"f","(4,4,3,1)",2970,0,"exact",0,0],[6,12,"f","(4,4,4)",462,0,"exact",0,0],[6,12,"f","(5,1,1,1,1,1,1,1)",330,0,"exact",0,0],[6,12,"f","(5,2,1,1,1,1,1)",1728,0,"exact",0,0],[6,12,"f","(5,2,2,1,1,1)",3696,0,"exact",0,0],[6,12,"f","(5,2,2,2,1)",3520,0,"exact",0,0],[6,12,"f","(5,3,1,1,1,1)",3564,0,"exact",0,0],[6,12,"f","(5,3,2,1,1)",7700,0,"exact",0,0],[6,12,"f","(5,3,2,2)",4455,0,"exact",0,0],[6,12,"f","(5,3,3,1)",4158,0,"exact",0,0],[6,12,"f","(5,4,1,1,1)",3520,0,"exact",0,0],[6,12,"f","(5,4,2,1)",5775,0,"exact",0,0],[6,12,"f","(5,4,3)",2112,0,"exact",0,0],[6,12,"f","(5,5,1,1)",1485,0,"exact",0,0],[6,12,"f","(5,5,2)",1320,0,"exact",0,0],[6,12,"f","(6,1,1,1,1,1,1)",462,0,"exact",0,0],[6,12,"f","(6,2,1,1,1,1)",2100,0,"exact",0,0],[6,12,"f","(6,2,2,1,1)",3564,0,"exact",0,0],[6,12,"f","(6,2,2,2)",1925,0,"exact",0,0],[6,12,"f","(6,3,1,1,1)",3696,0,"exact",0,0],[6,12,"f","(6,3,2,1)",5632,0,"exact",0,0],[6,12,"f","(6,3,3)",1650,0,"exact",0,0],[6,12,"f","(6,4,1,1)",3080,0,"exact",0,0],[6,12,"f","(6,4,2)",2673,0,"exact",0,0],[6,12,"f","(6,5,1)",1155,0,"exact",0,0],[6,12,"f","(6,6)",132,0,"exact",0,0],[6,12,"f","(7,1,1,1,1,1)",462,0,"exact",0,0],[6,12,"f","(7,2,1,1,1)",1728,0,"exact",0,0],[6,12,"f","(7,2,2,1)",2079,0,"exact",0,0],[6,12,"f","(7,3,1,1)",2376,0,"exact",0,0],[6,12,"f","(7,3,2)",1925,0,"exact",0,0],[6,12,"f","(7,4,1)",1408,0,"exact",0,0],[6,12,"f","(7,5)",297,0,"exact",0,0],[6,12,"f","(8,1,1,1,1)",330,0,"exact",0,0],[6,12,"f","(8,2,1,1)",945,0,"exact",0,0],[6,12,"f","(8,2,2)",616,0,"exact",0,0],[6,12,"f","(8,3,1)",891,0,"exact",0,0],[6,12,"f","(8,4)",275,0,"exact",0,0],[6,12,"f","(9,1,1,1)",165,0,"exact",0,0],[6,12,"f","(9,2,1)",320,0,"exact",0,0],[6,12,"f","(9,3)",154,0,"exact",0,0],[6,12,"f","(10,1,1)",55,0,"exact",0,0],[6,12,"f","(10,2)",54,0,"exact",0,0],[6,12,"f","(11,1)",11,0,"exact",0,0],[6,12,"f","(12)",1,0,"exact",0,0],[6,13,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,13,"f","(2,1,1,1,1,1,1,1,1,1,1,1)",12,3,"exact",3,3],[6,13,"f","(2,2,1,1,1,1,1,1,1,1,1)",65,1,"exact",1,1],[6,13,"f","(2,2,2,1,1,1,1,1,1,1)",208,0,"exact",0,0],[6,13,"f","(2,2,2,2,1,1,1,1,1)",429,0,"exact",0,0],[6,13,"f","(2,2,2,2,2,1,1,1)",572,0,"exact",0,0],[6,13,"f","(2,2,2,2,2,2,1)",429,0,"exact",0,0],[6,13,"f","(3,1,1,1,1,1,1,1,1,1,1)",66,1,"exact",1,1],[6,13,"f","(3,2,1,1,1,1,1,1,1,1)",429,0,"exact",0,0],[6,13,"f","(3,2,2,1,1,1,1,1,1)",1365,0,"exact",0,0],[6,13,"f","(3,2,2,2,1,1,1,1)",2574,0,"exact",0,0],[6,13,"f","(3,2,2,2,2,1,1)",2860,0,"exact",0,0],[6,13,"f","(3,2,2,2,2,2)",1287,0,"exact",0,0],[6,13,"f","(3,3,1,1,1,1,1,1,1)",936,0,"exact",0,0],[6,13,"f","(3,3,2,1,1,1,1,1)",3432,0,"exact",0,0],[6,13,"f","(3,3,2,2,1,1,1)",6006,0,"exact",0,0],[6,13,"f","(3,3,2,2,2,1)",5148,0,"exact",0,0],[6,13,"f","(3,3,3,1,1,1,1)",3575,0,"exact",0,0],[6,13,"f","(3,3,3,2,1,1)",6435,0,"exact",0,0],[6,13,"f","(3,3,3,2,2)",3432,0,"exact",0,0],[6,13,"f","(3,3,3,3,1)",2574,0,"exact",0,0],[6,13,"f","(4,1,1,1,1,1,1,1,1,1)",220,0,"exact",0,0],[6,13,"f","(4,2,1,1,1,1,1,1,1)",1430,0,"exact",0,0],[6,13,"f","(4,2,2,1,1,1,1,1)",4212,0,"exact",0,0],[6,13,"f","(4,2,2,2,1,1,1)",6864,0,"exact",0,0],[6,13,"f","(4,2,2,2,2,1)",5720,0,"exact",0,0],[6,13,"f","(4,3,1,1,1,1,1,1)",3640,0,"exact",0,0],[6,13,"f","(4,3,2,1,1,1,1)",12012,0,"exact",0,0],[6,13,"f","(4,3,2,2,1,1)",17160,0,"exact",0,0],[6,13,"f","(4,3,2,2,2)",8580,0,"exact",0,0],[6,13,"f","(4,3,3,1,1,1)",11440,0,"exact",0,0],[6,13,"f","(4,3,3,2,1)",15015,0,"exact",0,0],[6,13,"f","(4,3,3,3)",3432,0,"exact",0,0],[6,13,"f","(4,4,1,1,1,1,1)",4004,0,"exact",0,0],[6,13,"f","(4,4,2,1,1,1)",12012,0,"exact",0,0],[6,13,"f","(4,4,2,2,1)",12870,0,"exact",0,0],[6,13,"f","(4,4,3,1,1)",11583,0,"exact",0,0],[6,13,"f","(4,4,3,2)",8580,0,"exact",0,0],[6,13,"f","(4,4,4,1)",3432,0,"exact",0,0],[6,13,"f","(5,1,1,1,1,1,1,1,1)",495,0,"exact",0,0],[6,13,"f","(5,2,1,1,1,1,1,1)",3003,0,"exact",0,0],[6,13,"f","(5,2,2,1,1,1,1)",7800,0,"exact",0,0],[6,13,"f","(5,2,2,2,1,1)",10296,0,"exact",0,0],[6,13,"f","(5,2,2,2,2)",5005,0,"exact",0,0],[6,13,"f","(5,3,1,1,1,1,1)",7371,0,"exact",0,0],[6,13,"f","(5,3,2,1,1,1)",20592,0,"exact",0,0],[6,13,"f","(5,3,2,2,1)",21450,0,"exact",0,0],[6,13,"f","(5,3,3,1,1)",16016,0,"exact",0,0],[6,13,"f","(5,3,3,2)",11583,0,"exact",0,0],[6,13,"f","(5,4,1,1,1,1)",9009,0,"exact",0,0],[6,13,"f","(5,4,2,1,1)",21450,0,"exact",0,0],[6,13,"f","(5,4,2,2)",12870,0,"exact",0,0],[6,13,"f","(5,4,3,1)",15015,0,"exact",0,0],[6,13,"f","(5,4,4)",2574,0,"exact",0,0],[6,13,"f","(5,5,1,1,1)",5005,0,"exact",0,0],[6,13,"f","(5,5,2,1)",8580,0,"exact",0,0],[6,13,"f","(5,5,3)",3432,0,"exact",0,0],[6,13,"f","(6,1,1,1,1,1,1,1)",792,0,"exact",0,0],[6,13,"f","(6,2,1,1,1,1,1)",4290,0,"exact",0,0],[6,13,"f","(6,2,2,1,1,1)",9360,0,"exact",0,0],[6,13,"f","(6,2,2,2,1)",9009,0,"exact",0,0],[6,13,"f","(6,3,1,1,1,1)",9360,0,"exact",0,0],[6,13,"f","(6,3,2,1,1)",20592,0,"exact",0,0],[6,13,"f","(6,3,2,2)",12012,0,"exact",0,0],[6,13,"f","(6,3,3,1)",11440,0,"exact",0,0],[6,13,"f","(6,4,1,1,1)",10296,0,"exact",0,0],[6,13,"f","(6,4,2,1)",17160,0,"exact",0,0],[6,13,"f","(6,4,3)",6435,0,"exact",0,0],[6,13,"f","(6,5,1,1)",5720,0,"exact",0,0],[6,13,"f","(6,5,2)",5148,0,"exact",0,0],[6,13,"f","(6,6,1)",1287,0,"exact",0,0],[6,13,"f","(7,1,1,1,1,1,1)",924,0,"exact",0,0],[6,13,"f","(7,2,1,1,1,1)",4290,0,"exact",0,0],[6,13,"f","(7,2,2,1,1)",7371,0,"exact",0,0],[6,13,"f","(7,2,2,2)",4004,0,"exact",0,0],[6,13,"f","(7,3,1,1,1)",7800,0,"exact",0,0],[6,13,"f","(7,3,2,1)",12012,0,"exact",0,0],[6,13,"f","(7,3,3)",3575,0,"exact",0,0],[6,13,"f","(7,4,1,1)",6864,0,"exact",0,0],[6,13,"f","(7,4,2)",6006,0,"exact",0,0],[6,13,"f","(7,5,1)",2860,0,"exact",0,0],[6,13,"f","(7,6)",429,0,"exact",0,0],[6,13,"f","(8,1,1,1,1,1)",792,0,"exact",0,0],[6,13,"f","(8,2,1,1,1)",3003,0,"exact",0,0],[6,13,"f","(8,2,2,1)",3640,0,"exact",0,0],[6,13,"f","(8,3,1,1)",4212,0,"exact",0,0],[6,13,"f","(8,3,2)",3432,0,"exact",0,0],[6,13,"f","(8,4,1)",2574,0,"exact",0,0],[6,13,"f","(8,5)",572,0,"exact",0,0],[6,13,"f","(9,1,1,1,1)",495,0,"exact",0,0],[6,13,"f","(9,2,1,1)",1430,0,"exact",0,0],[6,13,"f","(9,2,2)",936,0,"exact",0,0],[6,13,"f","(9,3,1)",1365,0,"exact",0,0],[6,13,"f","(9,4)",429,0,"exact",0,0],[6,13,"f","(10,1,1,1)",220,0,"exact",0,0],[6,13,"f","(10,2,1)",429,0,"exact",0,0],[6,13,"f","(10,3)",208,0,"exact",0,0],[6,13,"f","(11,1,1)",66,0,"exact",0,0],[6,13,"f","(11,2)",65,0,"exact",0,0],[6,13,"f","(12,1)",12,0,"exact",0,0],[6,13,"f","(13)",1,0,"exact",0,0],[6,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,5,"exact",5,5],[6,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,8,"exact",8,8],[6,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,4,"exact",4,4],[6,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,0,"exact",0,0],[6,14,"f","(2,2,2,2,2,1,1,1,1)",1001,0,"exact",0,0],[6,14,"f","(2,2,2,2,2,2,1,1)",1001,0,"exact",0,0],[6,14,"f","(2,2,2,2,2,2,2)",429,0,"exact",0,0],[6,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,9,"exact",9,9],[6,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,8,"exact",8,8],[6,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,2,"exact",2,2],[6,14,"f","(3,2,2,2,1,1,1,1,1)",4368,0,"exact",0,0],[6,14,"f","(3,2,2,2,2,1,1,1)",6006,0,"exact",0,0],[6,14,"f","(3,2,2,2,2,2,1)",4576,0,"exact",0,0],[6,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,0,"exact",0,0],[6,14,"f","(3,3,2,1,1,1,1,1,1)",5733,0,"exact",0,0],[6,14,"f","(3,3,2,2,1,1,1,1)",12012,0,"exact",0,0],[6,14,"f","(3,3,2,2,2,1,1)",14014,0,"exact",0,0],[6,14,"f","(3,3,2,2,2,2)",6435,0,"exact",0,0],[6,14,"f","(3,3,3,1,1,1,1,1)",7007,0,"exact",0,0],[6,14,"f","(3,3,3,2,1,1,1)",16016,0,"exact",0,0],[6,14,"f","(3,3,3,2,2,1)",15015,0,"exact",0,0],[6,14,"f","(3,3,3,3,1,1)",9009,0,"exact",0,0],[6,14,"f","(3,3,3,3,2)",6006,0,"exact",0,0],[6,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,4,"exact",4,4],[6,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,2,"exact",2,2],[6,14,"f","(4,2,2,1,1,1,1,1,1)",7007,0,"exact",0,0],[6,14,"f","(4,2,2,2,1,1,1,1)",13650,0,"exact",0,0],[6,14,"f","(4,2,2,2,2,1,1)",15444,0,"exact",0,0],[6,14,"f","(4,2,2,2,2,2)",7007,0,"exact",0,0],[6,14,"f","(4,3,1,1,1,1,1,1,1)",6006,0,"exact",0,0],[6,14,"f","(4,3,2,1,1,1,1,1)",23296,6376,"upper bound",0,6376],[6,14,"f","(4,3,2,2,1,1,1)",42042,10494,"upper bound",0,10494],[6,14,"f","(4,3,2,2,2,1)",36608,8640,"upper bound",0,8640],[6,14,"f","(4,3,3,1,1,1,1)",27027,6375,"upper bound",0,6375],[6,14,"f","(4,3,3,2,1,1)",50050,10890,"upper bound",0,10890],[6,14,"f","(4,3,3,2,2)",27027,5640,"upper bound",0,5640],[6,14,"f","(4,3,3,3,1)",21021,4171,"upper bound",0,4171],[6,14,"f","(4,4,1,1,1,1,1,1)",7644,0,"exact",0,0],[6,14,"f","(4,4,2,1,1,1,1)",28028,6085,"upper bound",0,6085],[6,14,"f","(4,4,2,2,1,1)",42042,8415,"upper bound",0,8415],[6,14,"f","(4,4,2,2,2)",21450,4120,"upper bound",0,4120],[6,14,"f","(4,4,3,1,1,1)",35035,6605,"upper bound",0,6605],[6,14,"f","(4,4,3,2,1)",48048,8480,"upper bound",0,8480],[6,14,"f","(4,4,3,3)",12012,0,"exact",0,0],[6,14,"f","(4,4,4,1,1)",15015,0,"exact",0,0],[6,14,"f","(4,4,4,2)",12012,0,"exact",0,0],[6,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,0,"exact",0,0],[6,14,"f","(5,2,1,1,1,1,1,1,1)",4928,0,"exact",0,0],[6,14,"f","(5,2,2,1,1,1,1,1)",15015,0,"exact",0,0],[6,14,"f","(5,2,2,2,1,1,1)",24960,5100,"upper bound",0,5100],[6,14,"f","(5,2,2,2,2,1)",21021,4041,"upper bound",0,4041],[6,14,"f","(5,3,1,1,1,1,1,1)",14014,0,"exact",0,0],[6,14,"f","(5,3,2,1,1,1,1)",47775,8880,"upper bound",0,8880],[6,14,"f","(5,3,2,2,1,1)",69498,11871,"upper bound",0,11871],[6,14,"f","(5,3,2,2,2)",35035,5730,"upper bound",0,5730],[6,14,"f","(5,3,3,1,1,1)",48048,7710,"upper bound",0,7710],[6,14,"f","(5,3,3,2,1)",64064,9624,"upper bound",0,9624],[6,14,"f","(5,3,3,3)",15015,0,"exact",0,0],[6,14,"f","(5,4,1,1,1,1,1)",20384,3414,"upper bound",0,3414],[6,14,"f","(5,4,2,1,1,1)",63063,9411,"upper bound",0,9411],[6,14,"f","(5,4,2,2,1)",68640,9570,"upper bound",0,9570],[6,14,"f","(5,4,3,1,1)",64064,8364,"upper bound",0,8364],[6,14,"f","(5,4,3,2)",48048,5994,"upper bound",0,5994],[6,14,"f","(5,4,4,1)",21021,2346,"upper bound",0,2346],[6,14,"f","(5,5,1,1,1,1)",14014,0,"exact",0,0],[6,14,"f","(5,5,2,1,1)",35035,4065,"upper bound",0,4065],[6,14,"f","(5,5,2,2)",21450,2370,"upper bound",0,2370],[6,14,"f","(5,5,3,1)",27027,2781,"upper bound",0,2781],[6,14,"f","(5,5,4)",6006,0,"exact",0,0],[6,14,"f","(6,1,1,1,1,1,1,1,1)",1287,0,"exact",0,0],[6,14,"f","(6,2,1,1,1,1,1,1)",8085,0,"exact",0,0],[6,14,"f","(6,2,2,1,1,1,1)",21450,2710,"upper bound",0,2710],[6,14,"f","(6,2,2,2,1,1)",28665,3330,"upper bound",0,3330],[6,14,"f","(6,2,2,2,2)",14014,0,"exact",0,0],[6,14,"f","(6,3,1,1,1,1,1)",21021,2544,"upper bound",0,2544],[6,14,"f","(6,3,2,1,1,1)",59904,6456,"upper bound",0,6456],[6,14,"f","(6,3,2,2,1)",63063,6360,"upper bound",0,6360],[6,14,"f","(6,3,3,1,1)",48048,4564,"upper bound",0,4564],[6,14,"f","(6,3,3,2)",35035,3180,"upper bound",0,3180],[6,14,"f","(6,4,1,1,1,1)",28665,2880,"upper bound",0,2880],[6,14,"f","(6,4,2,1,1)",69498,6300,"upper bound",0,6300],[6,14,"f","(6,4,2,2)",42042,3636,"upper bound",0,3636],[6,14,"f","(6,4,3,1)",50050,4040,"upper bound",0,4040],[6,14,"f","(6,4,4)",9009,0,"exact",0,0],[6,14,"f","(6,5,1,1,1)",21021,1720,"upper bound",0,1720],[6,14,"f","(6,5,2,1)",36608,2744,"upper bound",0,2744],[6,14,"f","(6,5,3)",15015,0,"exact",0,0],[6,14,"f","(6,6,1,1)",7007,0,"exact",0,0],[6,14,"f","(6,6,2)",6435,0,"exact",0,0],[6,14,"f","(7,1,1,1,1,1,1,1)",1716,0,"exact",0,0],[6,14,"f","(7,2,1,1,1,1,1)",9504,0,"exact",0,0],[6,14,"f","(7,2,2,1,1,1)",21021,1124,"upper bound",0,1124],[6,14,"f","(7,2,2,2,1)",20384,1034,"upper bound",0,1034],[6,14,"f","(7,3,1,1,1,1)",21450,1140,"upper bound",0,1140],[6,14,"f","(7,3,2,1,1)",47775,2360,"upper bound",0,2360],[6,14,"f","(7,3,2,2)",28028,1326,"upper bound",0,1326],[6,14,"f","(7,3,3,1)",27027,1236,"upper bound",0,1236],[6,14,"f","(7,4,1,1,1)",24960,1220,"upper bound",0,1220],[6,14,"f","(7,4,2,1)",42042,1910,"upper bound",0,1910],[6,14,"f","(7,4,3)",16016,0,"exact",0,0],[6,14,"f","(7,5,1,1)",15444,0,"exact",0,0],[6,14,"f","(7,5,2)",14014,0,"exact",0,0],[6,14,"f","(7,6,1)",4576,0,"exact",0,0],[6,14,"f","(7,7)",429,0,"exact",0,0],[6,14,"f","(8,1,1,1,1,1,1)",1716,0,"exact",0,0],[6,14,"f","(8,2,1,1,1,1)",8085,0,"exact",0,0],[6,14,"f","(8,2,2,1,1)",14014,0,"exact",0,0],[6,14,"f","(8,2,2,2)",7644,0,"exact",0,0],[6,14,"f","(8,3,1,1,1)",15015,0,"exact",0,0],[6,14,"f","(8,3,2,1)",23296,336,"upper bound",0,336],[6,14,"f","(8,3,3)",7007,0,"exact",0,0],[6,14,"f","(8,4,1,1)",13650,0,"exact",0,0],[6,14,"f","(8,4,2)",12012,0,"exact",0,0],[6,14,"f","(8,5,1)",6006,0,"exact",0,0],[6,14,"f","(8,6)",1001,0,"exact",0,0],[6,14,"f","(9,1,1,1,1,1)",1287,0,"exact",0,0],[6,14,"f","(9,2,1,1,1)",4928,0,"exact",0,0],[6,14,"f","(9,2,2,1)",6006,0,"exact",0,0],[6,14,"f","(9,3,1,1)",7007,0,"exact",0,0],[6,14,"f","(9,3,2)",5733,0,"exact",0,0],[6,14,"f","(9,4,1)",4368,0,"exact",0,0],[6,14,"f","(9,5)",1001,0,"exact",0,0],[6,14,"f","(10,1,1,1,1)",715,0,"exact",0,0],[6,14,"f","(10,2,1,1)",2079,0,"exact",0,0],[6,14,"f","(10,2,2)",1365,0,"exact",0,0],[6,14,"f","(10,3,1)",2002,0,"exact",0,0],[6,14,"f","(10,4)",637,0,"exact",0,0],[6,14,"f","(11,1,1,1)",286,0,"exact",0,0],[6,14,"f","(11,2,1)",560,0,"exact",0,0],[6,14,"f","(11,3)",273,0,"exact",0,0],[6,14,"f","(12,1,1)",78,0,"exact",0,0],[6,14,"f","(12,2)",77,0,"exact",0,0],[6,14,"f","(13,1)",13,0,"exact",0,0],[6,14,"f","(14)",1,0,"exact",0,0],[6,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,7,"exact",7,7],[6,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,18,"exact",18,18],[6,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,22,"exact",22,22],[6,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,11,"exact",11,11],[6,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,1,"exact",1,1],[6,15,"f","(2,2,2,2,2,2,1,1,1)",2002,0,"exact",0,0],[6,15,"f","(2,2,2,2,2,2,2,1)",1430,0,"exact",0,0],[6,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,19,"exact",19,19],[6,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,46,"exact",46,46],[6,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,36,"exact",36,36],[6,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,10,"exact",10,10],[6,15,"f","(3,2,2,2,2,1,1,1,1)",11375,0,"exact",0,0],[6,15,"f","(3,2,2,2,2,2,1,1)",11583,0,"exact",0,0],[6,15,"f","(3,2,2,2,2,2,2)",5005,0,"exact",0,0],[6,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,23,"exact",23,23],[6,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,11,"exact",11,11],[6,15,"f","(3,3,2,2,1,1,1,1,1)",22113,1,"lower bound",1,9306],[6,15,"f","(3,3,2,2,2,1,1,1)",32032,13334,"upper bound",0,13334],[6,15,"f","(3,3,2,2,2,2,1)",25025,10350,"upper bound",0,10350],[6,15,"f","(3,3,3,1,1,1,1,1,1)",12740,1,"exact",1,1],[6,15,"f","(3,3,3,2,1,1,1,1)",35035,14434,"upper bound",0,14434],[6,15,"f","(3,3,3,2,2,1,1)",45045,18390,"upper bound",0,18390],[6,15,"f","(3,3,3,2,2,2)",21450,8718,"upper bound",0,8718],[6,15,"f","(3,3,3,3,1,1,1)",25025,10152,"upper bound",0,10152],[6,15,"f","(3,3,3,3,2,1)",30030,12096,"upper bound",0,12096],[6,15,"f","(3,3,3,3,3)",6006,0,"exact",0,0],[6,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,25,"exact",25,25],[6,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,37,"exact",37,37],[6,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,18,"exact",18,18],[6,15,"f","(4,2,2,2,1,1,1,1,1)",25025,3,"lower bound",3,10400],[6,15,"f","(4,2,2,2,2,1,1,1)",35100,14430,"upper bound",0,14430],[6,15,"f","(4,2,2,2,2,2,1)",27027,11040,"upper bound",0,11040],[6,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,11,"exact",11,11],[6,15,"f","(4,3,2,1,1,1,1,1,1)",42042,2,"lower bound",2,23643],[6,15,"f","(4,3,2,2,1,1,1,1)",91000,53735,"upper bound",0,53735],[6,15,"f","(4,3,2,2,2,1,1)",108108,62537,"upper bound",0,62537],[6,15,"f","(4,3,2,2,2,2)",50050,28645,"upper bound",0,28645],[6,15,"f","(4,3,3,1,1,1,1,1)",57330,35809,"upper bound",0,35809],[6,15,"f","(4,3,3,2,1,1,1)",135135,81467,"upper bound",0,81467],[6,15,"f","(4,3,3,2,2,1)",128700,75962,"upper bound",0,75962],[6,15,"f","(4,3,3,3,1,1)",80080,46000,"upper bound",0,46000],[6,15,"f","(4,3,3,3,2)",54054,30102,"upper bound",0,30102],[6,15,"f","(4,4,1,1,1,1,1,1,1)",13650,1,"exact",1,1],[6,15,"f","(4,4,2,1,1,1,1,1)",58968,35948,"upper bound",0,35948],[6,15,"f","(4,4,2,2,1,1,1)",112112,65828,"upper bound",0,65828],[6,15,"f","(4,4,2,2,2,1)",100100,56240,"upper bound",0,56240],[6,15,"f","(4,4,3,1,1,1,1)",90090,50700,"upper bound",0,50700],[6,15,"f","(4,4,3,2,1,1)",175175,92465,"upper bound",0,92465],[6,15,"f","(4,4,3,2,2)",96525,49335,"upper bound",0,49335],[6,15,"f","(4,4,3,3,1)",81081,39783,"upper bound",0,39783],[6,15,"f","(4,4,4,1,1,1)",50050,24570,"upper bound",0,24570],[6,15,"f","(4,4,4,2,1)",75075,34945,"upper bound",0,34945],[6,15,"f","(4,4,4,3)",24024,9042,"upper bound",0,9042],[6,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,12,"exact",12,12],[6,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,10,"exact",10,10],[6,15,"f","(5,2,2,1,1,1,1,1,1)",26950,3,"lower bound",3,10840],[6,15,"f","(5,2,2,2,1,1,1,1)",53625,26380,"upper bound",0,26380],[6,15,"f","(5,2,2,2,2,1,1)",61425,33301,"upper bound",0,33301],[6,15,"f","(5,2,2,2,2,2)",28028,15017,"upper bound",0,15017],[6,15,"f","(5,3,1,1,1,1,1,1,1)",24948,1,"lower bound",1,9954],[6,15,"f","(5,3,2,1,1,1,1,1)",100100,54531,"upper bound",0,54531],[6,15,"f","(5,3,2,2,1,1,1)",184275,98835,"upper bound",0,98835],[6,15,"f","(5,3,2,2,2,1)",162162,82974,"upper bound",0,82974],[6,15,"f","(5,3,3,1,1,1,1)",122850,62940,"upper bound",0,62940],[6,15,"f","(5,3,3,2,1,1)",231660,110970,"upper bound",0,110970],[6,15,"f","(5,3,3,2,2)",126126,58392,"upper bound",0,58392],[6,15,"f","(5,3,3,3,1)",100100,44450,"upper bound",0,44450],[6,15,"f","(5,4,1,1,1,1,1,1)",42042,19696,"upper bound",0,19696],[6,15,"f","(5,4,2,1,1,1,1)",159250,76510,"upper bound",0,76510],[6,15,"f","(5,4,2,2,1,1)",243243,109251,"upper bound",0,109251],[6,15,"f","(5,4,2,2,2)",125125,54325,"upper bound",0,54325],[6,15,"f","(5,4,3,1,1,1)",210210,90070,"upper bound",0,90070],[6,15,"f","(5,4,3,2,1)",292864,118848,"upper bound",0,118848],[6,15,"f","(5,4,3,3)",75075,28675,"upper bound",0,28675],[6,15,"f","(5,4,4,1,1)",100100,37550,"upper bound",0,37550],[6,15,"f","(5,4,4,2)",81081,29277,"upper bound",0,29277],[6,15,"f","(5,5,1,1,1,1,1)",34398,14511,"upper bound",0,14511],[6,15,"f","(5,5,2,1,1,1)",112112,43204,"upper bound",0,43204],[6,15,"f","(5,5,2,2,1)",125125,45650,"upper bound",0,45650],[6,15,"f","(5,5,3,1,1)",126126,43812,"upper bound",0,43812],[6,15,"f","(5,5,3,2)",96525,32250,"upper bound",0,32250],[6,15,"f","(5,5,4,1)",54054,16638,"upper bound",0,16638],[6,15,"f","(5,5,5)",6006,0,"exact",0,0],[6,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,1,"exact",1,1],[6,15,"f","(6,2,1,1,1,1,1,1,1)",14300,0,"exact",0,0],[6,15,"f","(6,2,2,1,1,1,1,1)",44550,19660,"upper bound",0,19660],[6,15,"f","(6,2,2,2,1,1,1)",75075,32360,"upper bound",0,32360],[6,15,"f","(6,2,2,2,2,1)",63700,26080,"upper bound",0,26080],[6,15,"f","(6,3,1,1,1,1,1,1)",43120,18826,"upper bound",0,18826],[6,15,"f","(6,3,2,1,1,1,1)",150150,59920,"upper bound",0,59920],[6,15,"f","(6,3,2,2,1,1)",221130,82170,"upper bound",0,82170],[6,15,"f","(6,3,2,2,2)",112112,40184,"upper bound",0,40184],[6,15,"f","(6,3,3,1,1,1)",156000,55160,"upper bound",0,55160],[6,15,"f","(6,3,3,2,1)",210210,70300,"upper bound",0,70300],[6,15,"f","(6,3,3,3)",50050,15750,"upper bound",0,15750],[6,15,"f","(6,4,1,1,1,1,1)",70070,25690,"upper bound",0,25690],[6,15,"f","(6,4,2,1,1,1)",221130,73710,"upper bound",0,73710],[6,15,"f","(6,4,2,2,1)",243243,76626,"upper bound",0,76626],[6,15,"f","(6,4,3,1,1)",231660,69360,"upper bound",0,69360],[6,15,"f","(6,4,3,2)",175175,50450,"upper bound",0,50450],[6,15,"f","(6,4,4,1)",80080,21220,"upper bound",0,21220],[6,15,"f","(6,5,1,1,1,1)",63700,18830,"upper bound",0,18830],[6,15,"f","(6,5,2,1,1)",162162,44184,"upper bound",0,44184],[6,15,"f","(6,5,2,2)",100100,26200,"upper bound",0,26200],[6,15,"f","(6,5,3,1)",128700,31950,"upper bound",0,31950],[6,15,"f","(6,5,4)",30030,6680,"upper bound",0,6680],[6,15,"f","(6,6,1,1,1)",28028,6496,"upper bound",0,6496],[6,15,"f","(6,6,2,1)",50050,10850,"upper bound",0,10850],[6,15,"f","(6,6,3)",21450,4300,"upper bound",0,4300],[6,15,"f","(7,1,1,1,1,1,1,1,1)",3003,0,"exact",0,0],[6,15,"f","(7,2,1,1,1,1,1,1)",19305,0,"exact",0,0],[6,15,"f","(7,2,2,1,1,1,1)",51975,13965,"upper bound",0,13965],[6,15,"f","(7,2,2,2,1,1)",70070,17535,"upper bound",0,17535],[6,15,"f","(7,2,2,2,2)",34398,8316,"upper bound",0,8316],[6,15,"f","(7,3,1,1,1,1,1)",51975,13440,"upper bound",0,13440],[6,15,"f","(7,3,2,1,1,1)",150150,35280,"upper bound",0,35280],[6,15,"f","(7,3,2,2,1)",159250,35385,"upper bound",0,35385],[6,15,"f","(7,3,3,1,1)",122850,26040,"upper bound",0,26040],[6,15,"f","(7,3,3,2)",90090,18375,"upper bound",0,18375],[6,15,"f","(7,4,1,1,1,1)",75075,16590,"upper bound",0,16590],[6,15,"f","(7,4,2,1,1)",184275,37485,"upper bound",0,37485],[6,15,"f","(7,4,2,2)",112112,21924,"upper bound",0,21924],[6,15,"f","(7,4,3,1)",135135,25095,"upper bound",0,25095],[6,15,"f","(7,4,4)",25025,4200,"upper bound",0,4200],[6,15,"f","(7,5,1,1,1)",61425,11445,"upper bound",0,11445],[6,15,"f","(7,5,2,1)",108108,18816,"upper bound",0,18816],[6,15,"f","(7,5,3)",45045,7245,"upper bound",0,7245],[6,15,"f","(7,6,1,1)",27027,4179,"upper bound",0,4179],[6,15,"f","(7,6,2)",25025,3675,"upper bound",0,3675],[6,15,"f","(7,7,1)",5005,0,"exact",0,0],[6,15,"f","(8,1,1,1,1,1,1,1)",3432,0,"exact",0,0],[6,15,"f","(8,2,1,1,1,1,1)",19305,0,"exact",0,0],[6,15,"f","(8,2,2,1,1,1)",43120,5040,"upper bound",0,5040],[6,15,"f","(8,2,2,2,1)",42042,4704,"upper bound",0,4704],[6,15,"f","(8,3,1,1,1,1)",44550,5160,"upper bound",0,5160],[6,15,"f","(8,3,2,1,1)",100100,10920,"upper bound",0,10920],[6,15,"f","(8,3,2,2)",58968,6216,"upper bound",0,6216],[6,15,"f","(8,3,3,1)",57330,5880,"upper bound",0,5880],[6,15,"f","(8,4,1,1,1)",53625,5760,"upper bound",0,5760],[6,15,"f","(8,4,2,1)",91000,9240,"upper bound",0,9240],[6,15,"f","(8,4,3)",35035,3360,"upper bound",0,3360],[6,15,"f","(8,5,1,1)",35100,3480,"upper bound",0,3480],[6,15,"f","(8,5,2)",32032,3024,"upper bound",0,3024],[6,15,"f","(8,6,1)",11583,0,"exact",0,0],[6,15,"f","(8,7)",1430,0,"exact",0,0],[6,15,"f","(9,1,1,1,1,1,1)",3003,0,"exact",0,0],[6,15,"f","(9,2,1,1,1,1)",14300,0,"exact",0,0],[6,15,"f","(9,2,2,1,1)",24948,756,"upper bound",0,756],[6,15,"f","(9,2,2,2)",13650,0,"exact",0,0],[6,15,"f","(9,3,1,1,1)",26950,840,"upper bound",0,840],[6,15,"f","(9,3,2,1)",42042,1344,"upper bound",0,1344],[6,15,"f","(9,3,3)",12740,0,"exact",0,0],[6,15,"f","(9,4,1,1)",25025,840,"upper bound",0,840],[6,15,"f","(9,4,2)",22113,756,"upper bound",0,756],[6,15,"f","(9,5,1)",11375,0,"exact",0,0],[6,15,"f","(9,6)",2002,0,"exact",0,0],[6,15,"f","(10,1,1,1,1,1)",2002,0,"exact",0,0],[6,15,"f","(10,2,1,1,1)",7722,0,"exact",0,0],[6,15,"f","(10,2,2,1)",9450,0,"exact",0,0],[6,15,"f","(10,3,1,1)",11088,0,"exact",0,0],[6,15,"f","(10,3,2)",9100,0,"exact",0,0],[6,15,"f","(10,4,1)",7007,0,"exact",0,0],[6,15,"f","(10,5)",1638,0,"exact",0,0],[6,15,"f","(11,1,1,1,1)",1001,0,"exact",0,0],[6,15,"f","(11,2,1,1)",2925,0,"exact",0,0],[6,15,"f","(11,2,2)",1925,0,"exact",0,0],[6,15,"f","(11,3,1)",2835,0,"exact",0,0],[6,15,"f","(11,4)",910,0,"exact",0,0],[6,15,"f","(12,1,1,1)",364,0,"exact",0,0],[6,15,"f","(12,2,1)",715,0,"exact",0,0],[6,15,"f","(12,3)",350,0,"exact",0,0],[6,15,"f","(13,1,1)",91,0,"exact",0,0],[6,15,"f","(13,2)",90,0,"exact",0,0],[6,15,"f","(14,1)",14,0,"exact",0,0],[6,15,"f","(15)",1,0,"exact",0,0],[6,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,16,"f","(10,1,1,1,1,1,1)",5005,0,"exact",0,0],[6,16,"f","(10,2,1,1,1,1)",24024,1050,"upper bound",0,1050],[6,16,"f","(10,2,2,1,1)",42120,1890,"upper bound",0,1890],[6,16,"f","(10,2,2,2)",23100,1050,"upper bound",0,1050],[6,16,"f","(10,3,1,1,1)",45760,2100,"upper bound",0,2100],[6,16,"f","(10,3,2,1)",71680,3360,"upper bound",0,3360],[6,16,"f","(10,3,3)",21840,1050,"upper bound",0,1050],[6,16,"f","(10,4,1,1)",43120,2100,"upper bound",0,2100],[6,16,"f","(10,4,2)",38220,1890,"upper bound",0,1890],[6,16,"f","(10,5,1)",20020,1050,"upper bound",0,1050],[6,16,"f","(10,6)",3640,0,"exact",0,0],[6,16,"f","(11,1,1,1,1,1)",3003,0,"exact",0,0],[6,16,"f","(11,2,1,1,1)",11648,0,"exact",0,0],[6,16,"f","(11,2,2,1)",14300,0,"exact",0,0],[6,16,"f","(11,3,1,1)",16848,0,"exact",0,0],[6,16,"f","(11,3,2)",13860,0,"exact",0,0],[6,16,"f","(11,4,1)",10752,0,"exact",0,0],[6,16,"f","(11,5)",2548,0,"exact",0,0],[6,16,"f","(12,1,1,1,1)",1365,0,"exact",0,0],[6,16,"f","(12,2,1,1)",4004,0,"exact",0,0],[6,16,"f","(12,2,2)",2640,0,"exact",0,0],[6,16,"f","(12,3,1)",3900,0,"exact",0,0],[6,16,"f","(12,4)",1260,0,"exact",0,0],[6,16,"f","(13,1,1,1)",455,0,"exact",0,0],[6,16,"f","(13,2,1)",896,0,"exact",0,0],[6,16,"f","(13,3)",440,0,"exact",0,0],[6,16,"f","(14,1,1)",105,0,"exact",0,0],[6,16,"f","(14,2)",104,0,"exact",0,0],[6,16,"f","(15,1)",15,0,"exact",0,0],[6,16,"f","(16)",1,0,"exact",0,0],[6,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,8,"lower bound",8,9],[6,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,25,"lower bound",25,31],[6,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,40,"lower bound",40,57],[6,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,33,"lower bound",33,58],[6,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,12,"lower bound",12,2542],[6,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,1,"lower bound",1,3615],[6,16,"f","(2,2,2,2,2,2,2,1,1)",3432,3393,"upper bound",0,3393],[6,16,"f","(2,2,2,2,2,2,2,2)",1430,0,"exact",0,0],[6,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,26,"lower bound",26,32],[6,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,83,"lower bound",83,118],[6,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,104,"lower bound",104,3900],[6,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,57,"lower bound",57,10668],[6,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,11,"lower bound",11,19625],[6,16,"f","(3,2,2,2,2,2,1,1,1)",24960,24180,"upper bound",0,24180],[6,16,"f","(3,2,2,2,2,2,2,1)",18018,17307,"upper bound",0,17307],[6,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,69,"lower bound",69,122],[6,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,70,"lower bound",70,13650],[6,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,22,"lower bound",22,36855],[6,16,"f","(3,3,2,2,2,1,1,1,1)",65520,1,"lower bound",1,61860],[6,16,"f","(3,3,2,2,2,2,1,1)",68640,63750,"upper bound",0,63750],[6,16,"f","(3,3,2,2,2,2,2)",30030,27645,"upper bound",0,27645],[6,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,12,"lower bound",12,20825],[6,16,"f","(3,3,3,2,1,1,1,1,1)",69888,2,"lower bound",2,64692],[6,16,"f","(3,3,3,2,2,1,1,1)",112112,101198,"upper bound",0,101198],[6,16,"f","(3,3,3,2,2,2,1)",91520,81260,"upper bound",0,81260],[6,16,"f","(3,3,3,3,1,1,1,1)",60060,53370,"upper bound",0,53370],[6,16,"f","(3,3,3,3,2,1,1)",100100,86750,"upper bound",0,86750],[6,16,"f","(3,3,3,3,2,2)",51480,44025,"upper bound",0,44025],[6,16,"f","(3,3,3,3,3,1)",36036,30303,"upper bound",0,30303],[6,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,44,"lower bound",44,62],[6,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,108,"lower bound",108,1147],[6,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,91,"lower bound",91,16512],[6,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,31,"lower bound",31,41160],[6,16,"f","(4,2,2,2,2,1,1,1,1)",71500,3,"lower bound",3,66535],[6,16,"f","(4,2,2,2,2,2,1,1)",73710,67275,"upper bound",0,67275],[6,16,"f","(4,2,2,2,2,2,2)",32032,28938,"upper bound",0,28938],[6,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,71,"lower bound",71,13880],[6,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,42,"lower bound",42,66920],[6,16,"f","(4,3,2,2,1,1,1,1,1)",180180,6,"lower bound",6,162015],[6,16,"f","(4,3,2,2,2,1,1,1)",266240,232240,"upper bound",0,232240],[6,16,"f","(4,3,2,2,2,2,1)",210210,179815,"upper bound",0,179815],[6,16,"f","(4,3,3,1,1,1,1,1,1)",112112,3,"lower bound",3,98903],[6,16,"f","(4,3,3,2,1,1,1,1)",318500,269550,"upper bound",0,269550],[6,16,"f","(4,3,3,2,2,1,1)",416988,342522,"upper bound",0,342522],[6,16,"f","(4,3,3,2,2,2)",200200,161895,"upper bound",0,161895],[6,16,"f","(4,3,3,3,1,1,1)",240240,193130,"upper bound",0,193130],[6,16,"f","(4,3,3,3,2,1)",292864,229472,"upper bound",0,229472],[6,16,"f","(4,3,3,3,3)",60060,45695,"upper bound",0,45695],[6,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,12,"lower bound",12,20930],[6,16,"f","(4,4,2,1,1,1,1,1,1)",114660,3,"lower bound",3,98490],[6,16,"f","(4,4,2,2,1,1,1,1)",262080,215250,"upper bound",0,215250],[6,16,"f","(4,4,2,2,2,1,1)",320320,254830,"upper bound",0,254830],[6,16,"f","(4,4,2,2,2,2)",150150,117495,"upper bound",0,117495],[6,16,"f","(4,4,3,1,1,1,1,1)",206388,165522,"upper bound",0,165522],[6,16,"f","(4,4,3,2,1,1,1)",512512,393208,"upper bound",0,393208],[6,16,"f","(4,4,3,2,2,1)",500500,373525,"upper bound",0,373525],[6,16,"f","(4,4,3,3,1,1)",336336,244848,"upper bound",0,244848],[6,16,"f","(4,4,3,3,2)",231660,165255,"upper bound",0,165255],[6,16,"f","(4,4,4,1,1,1,1)",140140,103020,"upper bound",0,103020],[6,16,"f","(4,4,4,2,1,1)",300300,211755,"upper bound",0,211755],[6,16,"f","(4,4,4,2,2)",171600,118480,"upper bound",0,118480],[6,16,"f","(4,4,4,3,1)",180180,121065,"upper bound",0,121065],[6,16,"f","(4,4,4,4)",24024,15257,"upper bound",0,15257],[6,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,37,"lower bound",37,67],[6,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,59,"lower bound",59,11144],[6,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,31,"lower bound",31,41560],[6,16,"f","(5,2,2,2,1,1,1,1,1)",105600,6,"lower bound",6,91440],[6,16,"f","(5,2,2,2,2,1,1,1)",150150,125290,"upper bound",0,125290],[6,16,"f","(5,2,2,2,2,2,1)",116480,94940,"upper bound",0,94940],[6,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,22,"lower bound",22,37290],[6,16,"f","(5,3,2,1,1,1,1,1,1)",194040,6,"lower bound",6,161490],[6,16,"f","(5,3,2,2,1,1,1,1)",429000,339345,"upper bound",0,339345],[6,16,"f","(5,3,2,2,2,1,1)",515970,393885,"upper bound",0,393885],[6,16,"f","(5,3,2,2,2,2)",240240,180075,"upper bound",0,180075],[6,16,"f","(5,3,3,1,1,1,1,1)",280280,215845,"upper bound",0,215845],[6,16,"f","(5,3,3,2,1,1,1)",673920,494160,"upper bound",0,494160],[6,16,"f","(5,3,3,2,2,1)",648648,461496,"upper bound",0,461496],[6,16,"f","(5,3,3,3,1,1)",411840,285210,"upper bound",0,285210],[6,16,"f","(5,3,3,3,2)",280280,189890,"upper bound",0,189890],[6,16,"f","(5,4,1,1,1,1,1,1,1)",80640,2,"lower bound",2,63840],[6,16,"f","(5,4,2,1,1,1,1,1)",360360,266910,"upper bound",0,266910],[6,16,"f","(5,4,2,2,1,1,1)",698880,492240,"upper bound",0,492240],[6,16,"f","(5,4,2,2,2,1)",630630,430590,"upper bound",0,430590],[6,16,"f","(5,4,3,1,1,1,1)",582400,398300,"upper bound",0,398300],[6,16,"f","(5,4,3,2,1,1)",1153152,753804,"upper bound",0,753804],[6,16,"f","(5,4,3,2,2)",640640,409300,"upper bound",0,409300],[6,16,"f","(5,4,3,3,1)",549120,340860,"upper bound",0,340860],[6,16,"f","(5,4,4,1,1,1)",360360,223995,"upper bound",0,223995],[6,16,"f","(5,4,4,2,1)",549120,328620,"upper bound",0,328620],[6,16,"f","(5,4,4,3)",180180,103290,"upper bound",0,103290],[6,16,"f","(5,5,1,1,1,1,1,1)",76440,52150,"upper bound",0,52150],[6,16,"f","(5,5,2,1,1,1,1)",305760,195020,"upper bound",0,195020],[6,16,"f","(5,5,2,2,1,1)",480480,292530,"upper bound",0,292530],[6,16,"f","(5,5,2,2,2)",250250,148800,"upper bound",0,148800],[6,16,"f","(5,5,3,1,1,1)",448448,264446,"upper bound",0,264446],[6,16,"f","(5,5,3,2,1)",640640,363560,"upper bound",0,363560],[6,16,"f","(5,5,3,3)",171600,93250,"upper bound",0,93250],[6,16,"f","(5,5,4,1,1)",280280,150755,"upper bound",0,150755],[6,16,"f","(5,5,4,2)",231660,121140,"upper bound",0,121140],[6,16,"f","(5,5,5,1)",60060,28975,"upper bound",0,28975],[6,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,13,"lower bound",13,32],[6,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,11,"lower bound",11,19950],[6,16,"f","(6,2,2,1,1,1,1,1,1)",85800,3,"lower bound",3,65730],[6,16,"f","(6,2,2,2,1,1,1,1)",173250,124635,"upper bound",0,124635],[6,16,"f","(6,2,2,2,2,1,1)",200200,137985,"upper bound",0,137985],[6,16,"f","(6,2,2,2,2,2)",91728,61881,"upper bound",0,61881],[6,16,"f","(6,3,1,1,1,1,1,1,1)",82368,1,"lower bound",1,60696],[6,16,"f","(6,3,2,1,1,1,1,1)",337920,230280,"upper bound",0,230280],[6,16,"f","(6,3,2,2,1,1,1)",630630,405720,"upper bound",0,405720],[6,16,"f","(6,3,2,2,2,1)",559104,347328,"upper bound",0,347328],[6,16,"f","(6,3,3,1,1,1,1)",429000,266895,"upper bound",0,266895],[6,16,"f","(6,3,3,2,1,1)",819000,484650,"upper bound",0,484650],[6,16,"f","(6,3,3,2,2)",448448,258726,"upper bound",0,258726],[6,16,"f","(6,3,3,3,1)",360360,201540,"upper bound",0,201540],[6,16,"f","(6,4,1,1,1,1,1,1)",155232,99204,"upper bound",0,99204],[6,16,"f","(6,4,2,1,1,1,1)",600600,356580,"upper bound",0,356580],[6,16,"f","(6,4,2,2,1,1)",928746,524412,"upper bound",0,524412],[6,16,"f","(6,4,2,2,2)",480480,264510,"upper bound",0,264510],[6,16,"f","(6,4,3,1,1,1)",819000,446775,"upper bound",0,446775],[6,16,"f","(6,4,3,2,1)",1153152,603984,"upper bound",0,603984],[6,16,"f","(6,4,3,3)",300300,150300,"upper bound",0,150300],[6,16,"f","(6,4,4,1,1)",411840,203730,"upper bound",0,203730],[6,16,"f","(6,4,4,2)",336336,161622,"upper bound",0,161622],[6,16,"f","(6,5,1,1,1,1,1)",168168,90846,"upper bound",0,90846],[6,16,"f","(6,5,2,1,1,1)",559104,282408,"upper bound",0,282408],[6,16,"f","(6,5,2,2,1)",630630,305760,"upper bound",0,305760],[6,16,"f","(6,5,3,1,1)",648648,303471,"upper bound",0,303471],[6,16,"f","(6,5,3,2)",500500,227400,"upper bound",0,227400],[6,16,"f","(6,5,4,1)",292864,125448,"upper bound",0,125448],[6,16,"f","(6,5,5)",36036,13917,"upper bound",0,13917],[6,16,"f","(6,6,1,1,1,1)",91728,40656,"upper bound",0,40656],[6,16,"f","(6,6,2,1,1)",240240,100380,"upper bound",0,100380],[6,16,"f","(6,6,2,2)",150150,60900,"upper bound",0,60900],[6,16,"f","(6,6,3,1)",200200,78225,"upper bound",0,78225],[6,16,"f","(6,6,4)",51480,18615,"upper bound",0,18615],[6,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,1,"lower bound",1,277],[6,16,"f","(7,2,1,1,1,1,1,1,1)",36608,22784,"upper bound",0,22784],[6,16,"f","(7,2,2,1,1,1,1,1)",115830,65535,"upper bound",0,65535],[6,16,"f","(7,2,2,2,1,1,1)",197120,104300,"upper bound",0,104300],[6,16,"f","(7,2,2,2,2,1)",168168,85456,"upper bound",0,85456],[6,16,"f","(7,3,1,1,1,1,1,1)",114400,62020,"upper bound",0,62020],[6,16,"f","(7,3,2,1,1,1,1)",404250,201355,"upper bound",0,201355],[6,16,"f","(7,3,2,2,1,1)",600600,282870,"upper bound",0,282870],[6,16,"f","(7,3,2,2,2)",305760,140000,"upper bound",0,140000],[6,16,"f","(7,3,3,1,1,1)",429000,194480,"upper bound",0,194480],[6,16,"f","(7,3,3,2,1)",582400,252700,"upper bound",0,252700],[6,16,"f","(7,3,3,3)",140140,57960,"upper bound",0,57960],[6,16,"f","(7,4,1,1,1,1,1)",197120,91840,"upper bound",0,91840],[6,16,"f","(7,4,2,1,1,1)",630630,272895,"upper bound",0,272895],[6,16,"f","(7,4,2,2,1)",698880,289380,"upper bound",0,289380],[6,16,"f","(7,4,3,1,1)",673920,268500,"upper bound",0,268500],[6,16,"f","(7,4,3,2)",512512,198044,"upper bound",0,198044],[6,16,"f","(7,4,4,1)",240240,87220,"upper bound",0,87220],[6,16,"f","(7,5,1,1,1,1)",200200,78890,"upper bound",0,78890],[6,16,"f","(7,5,2,1,1)",515970,190995,"upper bound",0,190995],[6,16,"f","(7,5,2,2)",320320,114940,"upper bound",0,114940],[6,16,"f","(7,5,3,1)",416988,143856,"upper bound",0,143856],[6,16,"f","(7,5,4)",100100,31850,"upper bound",0,31850],[6,16,"f","(7,6,1,1,1)",116480,38080,"upper bound",0,38080],[6,16,"f","(7,6,2,1)",210210,65345,"upper bound",0,65345],[6,16,"f","(7,6,3)",91520,26860,"upper bound",0,26860],[6,16,"f","(7,7,1,1)",32032,8484,"upper bound",0,8484],[6,16,"f","(7,7,2)",30030,7665,"upper bound",0,7665],[6,16,"f","(8,1,1,1,1,1,1,1,1)",6435,0,"exact",0,0],[6,16,"f","(8,2,1,1,1,1,1,1)",42042,15981,"upper bound",0,15981],[6,16,"f","(8,2,2,1,1,1,1)",114400,39780,"upper bound",0,39780],[6,16,"f","(8,2,2,2,1,1)",155232,50904,"upper bound",0,50904],[6,16,"f","(8,2,2,2,2)",76440,24360,"upper bound",0,24360],[6,16,"f","(8,3,1,1,1,1,1)",115830,38955,"upper bound",0,38955],[6,16,"f","(8,3,2,1,1,1)",337920,105120,"upper bound",0,105120],[6,16,"f","(8,3,2,2,1)",360360,107100,"upper bound",0,107100],[6,16,"f","(8,3,3,1,1)",280280,80220,"upper bound",0,80220],[6,16,"f","(8,3,3,2)",206388,57246,"upper bound",0,57246],[6,16,"f","(8,4,1,1,1,1)",173250,51135,"upper bound",0,51135],[6,16,"f","(8,4,2,1,1)",429000,118530,"upper bound",0,118530],[6,16,"f","(8,4,2,2)",262080,70140,"upper bound",0,70140],[6,16,"f","(8,4,3,1)",318500,81900,"upper bound",0,81900],[6,16,"f","(8,4,4)",60060,14280,"upper bound",0,14280],[6,16,"f","(8,5,1,1,1)",150150,38535,"upper bound",0,38535],[6,16,"f","(8,5,2,1)",266240,64800,"upper bound",0,64800],[6,16,"f","(8,5,3)",112112,25704,"upper bound",0,25704],[6,16,"f","(8,6,1,1)",73710,16275,"upper bound",0,16275],[6,16,"f","(8,6,2)",68640,14580,"upper bound",0,14580],[6,16,"f","(8,7,1)",18018,0,"exact",0,0],[6,16,"f","(8,8)",1430,0,"exact",0,0],[6,16,"f","(9,1,1,1,1,1,1,1)",6435,0,"exact",0,0],[6,16,"f","(9,2,1,1,1,1,1)",36608,6264,"upper bound",0,6264],[6,16,"f","(9,2,2,1,1,1)",82368,13356,"upper bound",0,13356],[6,16,"f","(9,2,2,2,1)",80640,12600,"upper bound",0,12600],[6,16,"f","(9,3,1,1,1,1)",85800,13770,"upper bound",0,13770],[6,16,"f","(9,3,2,1,1)",194040,29610,"upper bound",0,29610],[6,16,"f","(9,3,2,2)",114660,17010,"upper bound",0,17010],[6,16,"f","(9,3,3,1)",112112,16254,"upper bound",0,16254],[6,16,"f","(9,4,1,1,1)",105600,15840,"upper bound",0,15840],[6,16,"f","(9,4,2,1)",180180,25830,"upper bound",0,25830],[6,16,"f","(9,4,3)",69888,9576,"upper bound",0,9576],[6,16,"f","(9,5,1,1)",71500,9990,"upper bound",0,9990],[6,16,"f","(9,5,2)",65520,8820,"upper bound",0,8820],[6,16,"f","(9,6,1)",24960,3240,"upper bound",0,3240],[6,16,"f","(9,7)",3432,0,"exact",0,0],[6,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,17,"f","(10,1,1,1,1,1,1,1)",11440,0,"exact",0,0],[6,17,"f","(10,2,1,1,1,1,1)",65637,14328,"upper bound",0,14328],[6,17,"f","(10,2,2,1,1,1)",148512,30912,"upper bound",0,30912],[6,17,"f","(10,2,2,2,1)",145860,29400,"upper bound",0,29400],[6,17,"f","(10,3,1,1,1,1)",155584,32040,"upper bound",0,32040],[6,17,"f","(10,3,2,1,1)",353600,69720,"upper bound",0,69720],[6,17,"f","(10,3,2,2)",209440,40320,"upper bound",0,40320],[6,17,"f","(10,3,3,1)",205632,38808,"upper bound",0,38808],[6,17,"f","(10,4,1,1,1)",194480,37680,"upper bound",0,37680],[6,17,"f","(10,4,2,1)",333200,62160,"upper bound",0,62160],[6,17,"f","(10,4,3)",129948,23352,"upper bound",0,23352],[6,17,"f","(10,5,1,1)",134640,24480,"upper bound",0,24480],[6,17,"f","(10,5,2)",123760,21840,"upper bound",0,21840],[6,17,"f","(10,6,1)",48620,8280,"upper bound",0,8280],[6,17,"f","(10,7)",7072,0,"exact",0,0],[6,17,"f","(11,1,1,1,1,1,1)",8008,0,"exact",0,0],[6,17,"f","(11,2,1,1,1,1)",38675,2310,"upper bound",0,2310],[6,17,"f","(11,2,2,1,1)",68068,4158,"upper bound",0,4158],[6,17,"f","(11,2,2,2)",37400,2310,"upper bound",0,2310],[6,17,"f","(11,3,1,1,1)",74256,4620,"upper bound",0,4620],[6,17,"f","(11,3,2,1)",116688,7392,"upper bound",0,7392],[6,17,"f","(11,3,3)",35700,2310,"upper bound",0,2310],[6,17,"f","(11,4,1,1)",70720,4620,"upper bound",0,4620],[6,17,"f","(11,4,2)",62832,4158,"upper bound",0,4158],[6,17,"f","(11,5,1)",33320,2310,"upper bound",0,2310],[6,17,"f","(11,6)",6188,0,"exact",0,0],[6,17,"f","(12,1,1,1,1,1)",4368,0,"exact",0,0],[6,17,"f","(12,2,1,1,1)",17017,0,"exact",0,0],[6,17,"f","(12,2,2,1)",20944,0,"exact",0,0],[6,17,"f","(12,3,1,1)",24752,0,"exact",0,0],[6,17,"f","(12,3,2)",20400,0,"exact",0,0],[6,17,"f","(12,4,1)",15912,0,"exact",0,0],[6,17,"f","(12,5)",3808,0,"exact",0,0],[6,17,"f","(13,1,1,1,1)",1820,0,"exact",0,0],[6,17,"f","(13,2,1,1)",5355,0,"exact",0,0],[6,17,"f","(13,2,2)",3536,0,"exact",0,0],[6,17,"f","(13,3,1)",5236,0,"exact",0,0],[6,17,"f","(13,4)",1700,0,"exact",0,0],[6,17,"f","(14,1,1,1)",560,0,"exact",0,0],[6,17,"f","(14,2,1)",1105,0,"exact",0,0],[6,17,"f","(14,3)",544,0,"exact",0,0],[6,17,"f","(15,1,1)",120,0,"exact",0,0],[6,17,"f","(15,2)",119,0,"exact",0,0],[6,17,"f","(16,1)",16,0,"exact",0,0],[6,17,"f","(17)",1,0,"exact",0,0],[6,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,9,"lower bound",9,11],[6,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,33,"lower bound",33,47],[6,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,65,"lower bound",65,113],[6,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,73,"lower bound",73,1700],[6,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,45,"lower bound",45,3808],[6,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,13,"lower bound",13,6187],[6,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,1,"lower bound",1,7068],[6,17,"f","(2,2,2,2,2,2,2,2,1)",4862,4857,"upper bound",0,4857],[6,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,34,"lower bound",34,48],[6,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,134,"lower bound",134,1105],[6,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,227,"lower bound",227,5236],[6,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,194,"lower bound",194,15912],[6,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,80,"lower bound",80,33285],[6,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,12,"lower bound",12,48470],[6,17,"f","(3,2,2,2,2,2,2,1,1)",46410,46170,"upper bound",0,46170],[6,17,"f","(3,2,2,2,2,2,2,2)",19448,19323,"upper bound",0,19323],[6,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,152,"lower bound",152,3536],[6,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,243,"lower bound",243,20400],[6,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,149,"lower bound",149,62643],[6,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,34,"lower bound",34,122780],[6,17,"f","(3,3,2,2,2,2,1,1,1)",159120,1,"lower bound",1,157050],[6,17,"f","(3,3,2,2,2,2,2,1)",116688,114732,"upper bound",0,114732],[6,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,82,"lower bound",82,35525],[6,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,36,"lower bound",36,128282],[6,17,"f","(3,3,3,2,2,1,1,1,1)",247520,3,"lower bound",3,242210],[6,17,"f","(3,3,3,2,2,2,1,1)",272272,264508,"upper bound",0,264508],[6,17,"f","(3,3,3,2,2,2,2)",121550,117605,"upper bound",0,117605],[6,17,"f","(3,3,3,3,1,1,1,1,1)",129948,2,"lower bound",2,126498],[6,17,"f","(3,3,3,3,2,1,1,1)",272272,262132,"upper bound",0,262132],[6,17,"f","(3,3,3,3,2,2,1)",243100,232285,"upper bound",0,232285],[6,17,"f","(3,3,3,3,3,1,1)",136136,129155,"upper bound",0,129155],[6,17,"f","(3,3,3,3,3,2)",87516,82518,"upper bound",0,82518],[6,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,70,"lower bound",70,120],[6,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,235,"lower bound",235,5355],[6,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,303,"lower bound",303,24752],[6,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,179,"lower bound",179,70440],[6,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,45,"lower bound",45,133260],[6,17,"f","(4,2,2,2,2,2,1,1,1)",170170,3,"lower bound",3,167350],[6,17,"f","(4,2,2,2,2,2,2,1)",123760,121140,"upper bound",0,121140],[6,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,248,"lower bound",248,20944],[6,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,274,"lower bound",274,115792],[6,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,101,"lower bound",101,326900],[6,17,"f","(4,3,2,2,2,1,1,1,1)",583440,10,"lower bound",10,565700],[6,17,"f","(4,3,2,2,2,2,1,1)",618800,594380,"upper bound",0,594380],[6,17,"f","(4,3,2,2,2,2,2)",272272,260188,"upper bound",0,260188],[6,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,57,"lower bound",57,200508],[6,17,"f","(4,3,3,2,1,1,1,1,1)",680680,11,"lower bound",11,652610],[6,17,"f","(4,3,3,2,2,1,1,1)",1113840,1052340,"upper bound",0,1052340],[6,17,"f","(4,3,3,2,2,2,1)",918918,859722,"upper bound",0,859722],[6,17,"f","(4,3,3,3,1,1,1,1)",618800,579260,"upper bound",0,579260],[6,17,"f","(4,3,3,3,2,1,1)",1050192,968388,"upper bound",0,968388],[6,17,"f","(4,3,3,3,2,2)",544544,498092,"upper bound",0,498092],[6,17,"f","(4,3,3,3,3,1)",388960,352120,"upper bound",0,352120],[6,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,83,"lower bound",83,36910],[6,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,57,"lower bound",57,202720],[6,17,"f","(4,4,2,2,1,1,1,1,1)",556920,9,"lower bound",9,528465],[6,17,"f","(4,4,2,2,2,1,1,1)",848640,791960,"upper bound",0,791960],[6,17,"f","(4,4,2,2,2,2,1)",680680,628280,"upper bound",0,628280],[6,17,"f","(4,4,3,1,1,1,1,1,1)",433160,6,"lower bound",6,406805],[6,17,"f","(4,4,3,2,1,1,1,1)",1299480,1192450,"upper bound",0,1192450],[6,17,"f","(4,4,3,2,2,1,1)",1750320,1578735,"upper bound",0,1578735],[6,17,"f","(4,4,3,2,2,2)",850850,760465,"upper bound",0,760465],[6,17,"f","(4,4,3,3,1,1,1)",1089088,970182,"upper bound",0,970182],[6,17,"f","(4,4,3,3,2,1)",1361360,1194300,"upper bound",0,1194300],[6,17,"f","(4,4,3,3,3)",291720,251390,"upper bound",0,251390],[6,17,"f","(4,4,4,1,1,1,1,1)",346528,311472,"upper bound",0,311472],[6,17,"f","(4,4,4,2,1,1,1)",952952,835153,"upper bound",0,835153],[6,17,"f","(4,4,4,2,2,1)",972400,838460,"upper bound",0,838460],[6,17,"f","(4,4,4,3,1,1)",816816,694068,"upper bound",0,694068],[6,17,"f","(4,4,4,3,2)",583440,489700,"upper bound",0,489700],[6,17,"f","(4,4,4,4,1)",204204,167102,"upper bound",0,167102],[6,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,81,"lower bound",81,184],[6,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,204,"lower bound",204,17017],[6,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,181,"lower bound",181,73416],[6,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,68,"lower bound",68,189280],[6,17,"f","(5,2,2,2,2,1,1,1,1)",327250,9,"lower bound",9,313565],[6,17,"f","(5,2,2,2,2,2,1,1)",340340,322185,"upper bound",0,322185],[6,17,"f","(5,2,2,2,2,2,2)",148512,139682,"upper bound",0,139682],[6,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,152,"lower bound",152,66934],[6,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,101,"lower bound",101,339600],[6,17,"f","(5,3,2,2,1,1,1,1,1)",908820,18,"lower bound",18,852570],[6,17,"f","(5,3,2,2,2,1,1,1)",1361360,1252580,"upper bound",0,1252580],[6,17,"f","(5,3,2,2,2,2,1)",1082900,983865,"upper bound",0,983865],[6,17,"f","(5,3,3,1,1,1,1,1,1)",586432,9,"lower bound",9,543522],[6,17,"f","(5,3,3,2,1,1,1,1)",1701700,1535590,"upper bound",0,1535590],[6,17,"f","(5,3,3,2,2,1,1)",2255526,1995975,"upper bound",0,1995975],[6,17,"f","(5,3,3,2,2,2)",1089088,953886,"upper bound",0,953886],[6,17,"f","(5,3,3,3,1,1,1)",1326000,1157000,"upper bound",0,1157000],[6,17,"f","(5,3,3,3,2,1)",1633632,1401292,"upper bound",0,1401292],[6,17,"f","(5,3,3,3,3)",340340,286225,"upper bound",0,286225],[6,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,36,"lower bound",36,137600],[6,17,"f","(5,4,2,1,1,1,1,1,1)",749700,11,"lower bound",11,683550],[6,17,"f","(5,4,2,2,1,1,1,1)",1750320,1549995,"upper bound",0,1549995],[6,17,"f","(5,4,2,2,2,1,1)",2165800,1877995,"upper bound",0,1877995],[6,17,"f","(5,4,2,2,2,2)",1021020,875670,"upper bound",0,875670],[6,17,"f","(5,4,3,1,1,1,1,1)",1429428,1246203,"upper bound",0,1246203],[6,17,"f","(5,4,3,2,1,1,1)",3620864,3065280,"upper bound",0,3065280],[6,17,"f","(5,4,3,2,2,1)",3573570,2969615,"upper bound",0,2969615],[6,17,"f","(5,4,3,3,1,1)",2450448,2002758,"upper bound",0,2002758],[6,17,"f","(5,4,3,3,2)",1701700,1371705,"upper bound",0,1371705],[6,17,"f","(5,4,4,1,1,1,1)",1082900,891065,"upper bound",0,891065],[6,17,"f","(5,4,4,2,1,1)",2362932,1890504,"upper bound",0,1890504],[6,17,"f","(5,4,4,2,2)",1361360,1073600,"upper bound",0,1073600],[6,17,"f","(5,4,4,3,1)",1458600,1129335,"upper bound",0,1129335],[6,17,"f","(5,4,4,4)",204204,152135,"upper bound",0,152135],[6,17,"f","(5,5,1,1,1,1,1,1,1)",157080,2,"lower bound",2,137830],[6,17,"f","(5,5,2,1,1,1,1,1)",742560,624960,"upper bound",0,624960],[6,17,"f","(5,5,2,2,1,1,1)",1485120,1210370,"upper bound",0,1210370],[6,17,"f","(5,5,2,2,2,1)",1361360,1087380,"upper bound",0,1087380],[6,17,"f","(5,5,3,1,1,1,1)",1336608,1068942,"upper bound",0,1068942],[6,17,"f","(5,5,3,2,1,1)",2722720,2114140,"upper bound",0,2114140],[6,17,"f","(5,5,3,2,2)",1531530,1171320,"upper bound",0,1171320],[6,17,"f","(5,5,3,3,1)",1361360,1021530,"upper bound",0,1021530],[6,17,"f","(5,5,4,1,1,1)",1089088,818356,"upper bound",0,818356],[6,17,"f","(5,5,4,2,1)",1701700,1246645,"upper bound",0,1246645],[6,17,"f","(5,5,4,3)",583440,415180,"upper bound",0,415180],[6,17,"f","(5,5,5,1,1)",340340,237000,"upper bound",0,237000],[6,17,"f","(5,5,5,2)",291720,199225,"upper bound",0,199225],[6,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,50,"lower bound",50,1225],[6,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,83,"lower bound",83,37625],[6,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,45,"lower bound",45,146224],[6,17,"f","(6,2,2,2,1,1,1,1,1)",364650,9,"lower bound",9,331785],[6,17,"f","(6,2,2,2,2,1,1,1)",523600,464380,"upper bound",0,464380],[6,17,"f","(6,2,2,2,2,2,1)",408408,356348,"upper bound",0,356348],[6,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,34,"lower bound",34,137256],[6,17,"f","(6,3,2,1,1,1,1,1,1)",700128,10,"lower bound",10,620088],[6,17,"f","(6,3,2,2,1,1,1,1)",1570800,1342740,"upper bound",0,1342740],[6,17,"f","(6,3,2,2,2,1,1)",1905904,1588860,"upper bound",0,1588860],[6,17,"f","(6,3,2,2,2,2)",891072,733284,"upper bound",0,733284],[6,17,"f","(6,3,3,1,1,1,1,1)",1047200,878500,"upper bound",0,878500],[6,17,"f","(6,3,3,2,1,1,1)",2552550,2068395,"upper bound",0,2068395],[6,17,"f","(6,3,3,2,2,1)",2475200,1963020,"upper bound",0,1963020],[6,17,"f","(6,3,3,3,1,1)",1591200,1237980,"upper bound",0,1237980],[6,17,"f","(6,3,3,3,2)",1089088,834068,"upper bound",0,834068],[6,17,"f","(6,4,1,1,1,1,1,1,1)",318240,3,"lower bound",3,272460],[6,17,"f","(6,4,2,1,1,1,1,1)",1454112,1187712,"upper bound",0,1187712],[6,17,"f","(6,4,2,2,1,1,1)",2858856,2252880,"upper bound",0,2252880],[6,17,"f","(6,4,2,2,2,1)",2598960,2002980,"upper bound",0,2002980],[6,17,"f","(6,4,3,1,1,1,1)",2431000,1875950,"upper bound",0,1875950],[6,17,"f","(6,4,3,2,1,1)",4873050,3640455,"upper bound",0,3640455],[6,17,"f","(6,4,3,2,2)",2722720,2000680,"upper bound",0,2000680],[6,17,"f","(6,4,3,3,1)",2362932,1700712,"upper bound",0,1700712],[6,17,"f","(6,4,4,1,1,1)",1591200,1146720,"upper bound",0,1146720],[6,17,"f","(6,4,4,2,1)",2450448,1718196,"upper bound",0,1718196],[6,17,"f","(6,4,4,3)",816816,555180,"upper bound",0,555180],[6,17,"f","(6,5,1,1,1,1,1,1)",399840,308560,"upper bound",0,308560],[6,17,"f","(6,5,2,1,1,1,1)",1633632,1201088,"upper bound",0,1201088],[6,17,"f","(6,5,2,2,1,1)",2598960,1847580,"upper bound",0,1847580],[6,17,"f","(6,5,2,2,2)",1361360,951300,"upper bound",0,951300],[6,17,"f","(6,5,3,1,1,1)",2475200,1719620,"upper bound",0,1719620],[6,17,"f","(6,5,3,2,1)",3573570,2414405,"upper bound",0,2414405],[6,17,"f","(6,5,3,3)",972400,636580,"upper bound",0,636580],[6,17,"f","(6,5,4,1,1)",1633632,1061984,"upper bound",0,1061984],[6,17,"f","(6,5,4,2)",1361360,866940,"upper bound",0,866940],[6,17,"f","(6,5,5,1)",388960,233800,"upper bound",0,233800],[6,17,"f","(6,6,1,1,1,1,1)",259896,175350,"upper bound",0,175350],[6,17,"f","(6,6,2,1,1,1)",891072,573552,"upper bound",0,573552],[6,17,"f","(6,6,2,2,1)",1021020,638400,"upper bound",0,638400],[6,17,"f","(6,6,3,1,1)",1089088,664188,"upper bound",0,664188],[6,17,"f","(6,6,3,2)",850850,508095,"upper bound",0,508095],[6,17,"f","(6,6,4,1)",544544,312060,"upper bound",0,312060],[6,17,"f","(6,6,5)",87516,46650,"upper bound",0,46650],[6,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,14,"lower bound",14,290],[6,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,12,"lower bound",12,57609],[6,17,"f","(7,2,2,1,1,1,1,1,1)",238238,3,"lower bound",3,196973],[6,17,"f","(7,2,2,2,1,1,1,1)",486200,383510,"upper bound",0,383510],[6,17,"f","(7,2,2,2,2,1,1)",565488,431907,"upper bound",0,431907],[6,17,"f","(7,2,2,2,2,2)",259896,195307,"upper bound",0,195307],[6,17,"f","(7,3,1,1,1,1,1,1,1)",233376,1,"lower bound",1,187500],[6,17,"f","(7,3,2,1,1,1,1,1)",972400,736640,"upper bound",0,736640],[6,17,"f","(7,3,2,2,1,1,1)",1832600,1329195,"upper bound",0,1329195],[6,17,"f","(7,3,2,2,2,1)",1633632,1153824,"upper bound",0,1153824],[6,17,"f","(7,3,3,1,1,1,1)",1262250,892680,"upper bound",0,892680],[6,17,"f","(7,3,3,2,1,1)",2431000,1655100,"upper bound",0,1655100],[6,17,"f","(7,3,3,2,2)",1336608,892626,"upper bound",0,892626],[6,17,"f","(7,3,3,3,1)",1082900,706300,"upper bound",0,706300],[6,17,"f","(7,4,1,1,1,1,1,1)",466752,337064,"upper bound",0,337064],[6,17,"f","(7,4,2,1,1,1,1)",1832600,1251530,"upper bound",0,1251530],[6,17,"f","(7,4,2,2,1,1)",2858856,1879227,"upper bound",0,1879227],[6,17,"f","(7,4,2,2,2)",1485120,957530,"upper bound",0,957530],[6,17,"f","(7,4,3,1,1,1)",2552550,1634780,"upper bound",0,1634780],[6,17,"f","(7,4,3,2,1)",3620864,2248128,"upper bound",0,2248128],[6,17,"f","(7,4,3,3)",952952,571508,"upper bound",0,571508],[6,17,"f","(7,4,4,1,1)",1326000,788650,"upper bound",0,788650],[6,17,"f","(7,4,4,2)",1089088,633486,"upper bound",0,633486],[6,17,"f","(7,5,1,1,1,1,1)",565488,359856,"upper bound",0,359856],[6,17,"f","(7,5,2,1,1,1)",1905904,1152368,"upper bound",0,1152368],[6,17,"f","(7,5,2,2,1)",2165800,1269205,"upper bound",0,1269205],[6,17,"f","(7,5,3,1,1)",2255526,1286712,"upper bound",0,1286712],[6,17,"f","(7,5,3,2)",1750320,976380,"upper bound",0,976380],[6,17,"f","(7,5,4,1)",1050192,560544,"upper bound",0,560544],[6,17,"f","(7,5,5)",136136,67277,"upper bound",0,67277],[6,17,"f","(7,6,1,1,1,1)",408408,223986,"upper bound",0,223986],[6,17,"f","(7,6,2,1,1)",1082900,567840,"upper bound",0,567840],[6,17,"f","(7,6,2,2)",680680,348915,"upper bound",0,348915],[6,17,"f","(7,6,3,1)",918918,458052,"upper bound",0,458052],[6,17,"f","(7,6,4)",243100,114375,"upper bound",0,114375],[6,17,"f","(7,7,1,1,1)",148512,68404,"upper bound",0,68404],[6,17,"f","(7,7,2,1)",272272,120848,"upper bound",0,120848],[6,17,"f","(7,7,3)",121550,51745,"upper bound",0,51745],[6,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,1,"lower bound",1,1072],[6,17,"f","(8,2,1,1,1,1,1,1,1)",85085,59150,"upper bound",0,59150],[6,17,"f","(8,2,2,1,1,1,1,1)",272272,175392,"upper bound",0,175392],[6,17,"f","(8,2,2,2,1,1,1)",466752,284948,"upper bound",0,284948],[6,17,"f","(8,2,2,2,2,1)",399840,236320,"upper bound",0,236320],[6,17,"f","(8,3,1,1,1,1,1,1)",272272,169456,"upper bound",0,169456],[6,17,"f","(8,3,2,1,1,1,1)",972400,565600,"upper bound",0,565600],[6,17,"f","(8,3,2,2,1,1)",1454112,808704,"upper bound",0,808704],[6,17,"f","(8,3,2,2,2)",742560,403760,"upper bound",0,403760],[6,17,"f","(8,3,3,1,1,1)",1047200,565040,"upper bound",0,565040],[6,17,"f","(8,3,3,2,1)",1429428,744646,"upper bound",0,744646],[6,17,"f","(8,3,3,3)",346528,173712,"upper bound",0,173712],[6,17,"f","(8,4,1,1,1,1,1)",486200,268030,"upper bound",0,268030],[6,17,"f","(8,4,2,1,1,1)",1570800,816480,"upper bound",0,816480],[6,17,"f","(8,4,2,2,1)",1750320,878310,"upper bound",0,878310],[6,17,"f","(8,4,3,1,1)",1701700,828450,"upper bound",0,828450],[6,17,"f","(8,4,3,2)",1299480,617330,"upper bound",0,617330],[6,17,"f","(8,4,4,1)",618800,280000,"upper bound",0,280000],[6,17,"f","(8,5,1,1,1,1)",523600,252560,"upper bound",0,252560],[6,17,"f","(8,5,2,1,1)",1361360,624960,"upper bound",0,624960],[6,17,"f","(8,5,2,2)",848640,380080,"upper bound",0,380080],[6,17,"f","(8,5,3,1)",1113840,483840,"upper bound",0,483840],[6,17,"f","(8,5,4)",272272,111104,"upper bound",0,111104],[6,17,"f","(8,6,1,1,1)",340340,141610,"upper bound",0,141610],[6,17,"f","(8,6,2,1)",618800,247520,"upper bound",0,247520],[6,17,"f","(8,6,3)",272272,104188,"upper bound",0,104188],[6,17,"f","(8,7,1,1)",123760,43680,"upper bound",0,43680],[6,17,"f","(8,7,2)",116688,40032,"upper bound",0,40032],[6,17,"f","(8,8,1)",19448,0,"exact",0,0],[6,17,"f","(9,1,1,1,1,1,1,1,1)",12870,0,"exact",0,0],[6,17,"f","(9,2,1,1,1,1,1,1)",85085,38535,"upper bound",0,38535],[6,17,"f","(9,2,2,1,1,1,1)",233376,98040,"upper bound",0,98040],[6,17,"f","(9,2,2,2,1,1)",318240,127260,"upper bound",0,127260],[6,17,"f","(9,2,2,2,2)",157080,61320,"upper bound",0,61320],[6,17,"f","(9,3,1,1,1,1,1)",238238,97209,"upper bound",0,97209],[6,17,"f","(9,3,2,1,1,1)",700128,267696,"upper bound",0,267696],[6,17,"f","(9,3,2,2,1)",749700,275940,"upper bound",0,275940],[6,17,"f","(9,3,3,1,1)",586432,209244,"upper bound",0,209244],[6,17,"f","(9,3,3,2)",433160,150570,"upper bound",0,150570],[6,17,"f","(9,4,1,1,1,1)",364650,133245,"upper bound",0,133245],[6,17,"f","(9,4,2,1,1)",908820,314550,"upper bound",0,314550],[6,17,"f","(9,4,2,2)",556920,187740,"upper bound",0,187740],[6,17,"f","(9,4,3,1)",680680,222180,"upper bound",0,222180],[6,17,"f","(9,4,4)",129948,39816,"upper bound",0,39816],[6,17,"f","(9,5,1,1,1)",327250,106365,"upper bound",0,106365],[6,17,"f","(9,5,2,1)",583440,181680,"upper bound",0,181680],[6,17,"f","(9,5,3)",247520,73500,"upper bound",0,73500],[6,17,"f","(9,6,1,1)",170170,48825,"upper bound",0,48825],[6,17,"f","(9,6,2)",159120,44280,"upper bound",0,44280],[6,17,"f","(9,7,1)",46410,11655,"upper bound",0,11655],[6,17,"f","(9,8)",4862,0,"exact",0,0],[6,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,18,"f","(10,1,1,1,1,1,1,1,1)",24310,13695,"upper bound",0,13695],[6,18,"f","(10,2,1,1,1,1,1,1)",162162,83853,"upper bound",0,83853],[6,18,"f","(10,2,2,1,1,1,1)",447525,216990,"upper bound",0,216990],[6,18,"f","(10,2,2,2,1,1)",612612,284802,"upper bound",0,284802],[6,18,"f","(10,2,2,2,2)",302940,137970,"upper bound",0,137970],[6,18,"f","(10,3,1,1,1,1,1)",459459,217161,"upper bound",0,217161],[6,18,"f","(10,3,2,1,1,1)",1357824,607344,"upper bound",0,607344],[6,18,"f","(10,3,2,2,1)",1458600,631680,"upper bound",0,631680],[6,18,"f","(10,3,3,1,1)",1145664,483336,"upper bound",0,483336],[6,18,"f","(10,3,3,2)",848232,350028,"upper bound",0,350028],[6,18,"f","(10,4,1,1,1,1)",714714,307335,"upper bound",0,307335],[6,18,"f","(10,4,2,1,1)",1790100,735480,"upper bound",0,735480],[6,18,"f","(10,4,2,2)",1099560,441840,"upper bound",0,441840],[6,18,"f","(10,4,3,1)",1349460,527940,"upper bound",0,527940],[6,18,"f","(10,4,4)",259896,96474,"upper bound",0,96474],[6,18,"f","(10,5,1,1,1)",656370,255465,"upper bound",0,255465],[6,18,"f","(10,5,2,1)",1175040,441360,"upper bound",0,441360],[6,18,"f","(10,5,3)",501228,181062,"upper bound",0,181062],[6,18,"f","(10,6,1,1)",353430,123795,"upper bound",0,123795],[6,18,"f","(10,6,2)",331500,113250,"upper bound",0,113250],[6,18,"f","(10,7,1)",102102,31983,"upper bound",0,31983],[6,18,"f","(10,8)",11934,0,"exact",0,0],[6,18,"f","(11,1,1,1,1,1,1,1)",19448,0,"exact",0,0],[6,18,"f","(11,2,1,1,1,1,1)",112320,29700,"upper bound",0,29700],[6,18,"f","(11,2,2,1,1,1)",255255,64680,"upper bound",0,64680],[6,18,"f","(11,2,2,2,1)",251328,61908,"upper bound",0,61908],[6,18,"f","(11,3,1,1,1,1)",268515,67320,"upper bound",0,67320],[6,18,"f","(11,3,2,1,1)",612612,147840,"upper bound",0,147840],[6,18,"f","(11,3,2,2)",363528,85932,"upper bound",0,85932],[6,18,"f","(11,3,3,1)",358020,83160,"upper bound",0,83160],[6,18,"f","(11,4,1,1,1)",339456,80520,"upper bound",0,80520],[6,18,"f","(11,4,2,1)",583440,133980,"upper bound",0,133980],[6,18,"f","(11,4,3)",228480,50820,"upper bound",0,50820],[6,18,"f","(11,5,1,1)",238680,53460,"upper bound",0,53460],[6,18,"f","(11,5,2)",219912,48048,"upper bound",0,48048],[6,18,"f","(11,6,1)",88128,18612,"upper bound",0,18612],[6,18,"f","(11,7)",13260,0,"exact",0,0],[6,18,"f","(12,1,1,1,1,1,1)",12376,0,"exact",0,0],[6,18,"f","(12,2,1,1,1,1)",60060,4620,"upper bound",0,4620],[6,18,"f","(12,2,2,1,1)",106029,8316,"upper bound",0,8316],[6,18,"f","(12,2,2,2)",58344,4620,"upper bound",0,4620],[6,18,"f","(12,3,1,1,1)",116025,9240,"upper bound",0,9240],[6,18,"f","(12,3,2,1)",182784,14784,"upper bound",0,14784],[6,18,"f","(12,3,3)",56100,4620,"upper bound",0,4620],[6,18,"f","(12,4,1,1)",111384,9240,"upper bound",0,9240],[6,18,"f","(12,4,2)",99144,8316,"upper bound",0,8316],[6,18,"f","(12,5,1)",53040,4620,"upper bound",0,4620],[6,18,"f","(12,6)",9996,0,"exact",0,0],[6,18,"f","(13,1,1,1,1,1)",6188,0,"exact",0,0],[6,18,"f","(13,2,1,1,1)",24192,0,"exact",0,0],[6,18,"f","(13,2,2,1)",29835,0,"exact",0,0],[6,18,"f","(13,3,1,1)",35343,0,"exact",0,0],[6,18,"f","(13,3,2)",29172,0,"exact",0,0],[6,18,"f","(13,4,1)",22848,0,"exact",0,0],[6,18,"f","(13,5)",5508,0,"exact",0,0],[6,18,"f","(14,1,1,1,1)",2380,0,"exact",0,0],[6,18,"f","(14,2,1,1)",7020,0,"exact",0,0],[6,18,"f","(14,2,2)",4641,0,"exact",0,0],[6,18,"f","(14,3,1)",6885,0,"exact",0,0],[6,18,"f","(14,4)",2244,0,"exact",0,0],[6,18,"f","(15,1,1,1)",680,0,"exact",0,0],[6,18,"f","(15,2,1)",1344,0,"exact",0,0],[6,18,"f","(15,3)",663,0,"exact",0,0],[6,18,"f","(16,1,1)",136,0,"exact",0,0],[6,18,"f","(16,2)",135,0,"exact",0,0],[6,18,"f","(17,1)",17,0,"exact",0,0],[6,18,"f","(18)",1,0,"exact",0,0],[6,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,10,"lower bound",10,13],[6,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,42,"lower bound",42,66],[6,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,98,"lower bound",98,663],[6,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,138,"lower bound",138,2244],[6,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,118,"lower bound",118,5508],[6,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,58,"lower bound",58,9996],[6,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,43,"lower bound",43,67],[6,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,201,"lower bound",201,1344],[6,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,426,"lower bound",426,6885],[6,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,494,"lower bound",494,22848],[6,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,319,"lower bound",319,53040],[6,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,105,"lower bound",105,88122],[6,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,13,"lower bound",13,102078],[6,18,"f","(3,2,2,2,2,2,2,2,1)",70720,70690,"upper bound",0,70690],[6,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,286,"lower bound",286,4641],[6,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,622,"lower bound",622,29172],[6,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,586,"lower bound",586,99144],[6,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,263,"lower bound",263,219828],[6,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,47,"lower bound",47,331125],[6,18,"f","(3,3,2,2,2,2,2,1,1)",322218,1,"lower bound",1,321597],[6,18,"f","(3,3,2,2,2,2,2,2)",136136,135806,"upper bound",0,135806],[6,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,325,"lower bound",325,56100],[6,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,267,"lower bound",267,228270],[6,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,73,"lower bound",73,499947],[6,18,"f","(3,3,3,2,2,2,1,1,1)",678912,4,"lower bound",4,675928],[6,18,"f","(3,3,3,2,2,2,2,1)",510510,507545,"upper bound",0,507545],[6,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,38,"lower bound",38,258951],[6,18,"f","(3,3,3,3,2,1,1,1,1)",649740,5,"lower bound",5,645440],[6,18,"f","(3,3,3,3,2,2,1,1)",787644,780354,"upper bound",0,780354],[6,18,"f","(3,3,3,3,2,2,2)",364650,360715,"upper bound",0,360715],[6,18,"f","(3,3,3,3,3,1,1,1)",408408,403762,"upper bound",0,403762],[6,18,"f","(3,3,3,3,3,2,1)",466752,460130,"upper bound",0,460130],[6,18,"f","(3,3,3,3,3,3)",87516,85963,"upper bound",0,85963],[6,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,104,"lower bound",104,203],[6,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,439,"lower bound",439,7020],[6,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,765,"lower bound",765,35343],[6,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,676,"lower bound",676,111384],[6,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,304,"lower bound",304,238560],[6,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,60,"lower bound",60,352905],[6,18,"f","(4,2,2,2,2,2,2,1,1)",340340,3,"lower bound",3,339485],[6,18,"f","(4,2,2,2,2,2,2,2)",143208,142758,"upper bound",0,142758],[6,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,635,"lower bound",635,29835],[6,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,1068,"lower bound",1068,182784],[6,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,703,"lower bound",703,582600],[6,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,190,"lower bound",190,1170480],[6,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,14,"lower bound",14,1521590],[6,18,"f","(4,3,2,2,2,2,2,1)",1131520,1121960,"upper bound",0,1121960],[6,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,413,"lower bound",413,357180],[6,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,205,"lower bound",205,1340850],[6,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,24,"lower bound",24,2596785],[6,18,"f","(4,3,3,2,2,2,1,1)",2923830,2880705,"upper bound",0,2880705],[6,18,"f","(4,3,3,2,2,2,2)",1312740,1290540,"upper bound",0,1290540],[6,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,13,"lower bound",13,1409863],[6,18,"f","(4,3,3,3,2,1,1,1)",3055104,2995320,"upper bound",0,2995320],[6,18,"f","(4,3,3,3,2,2,1)",2756754,2691561,"upper bound",0,2691561],[6,18,"f","(4,3,3,3,3,1,1)",1575288,1531938,"upper bound",0,1531938],[6,18,"f","(4,3,3,3,3,2)",1021020,989475,"upper bound",0,989475],[6,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,331,"lower bound",331,58344],[6,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,414,"lower bound",414,362352],[6,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,167,"lower bound",167,1090320],[6,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,19,"lower bound",19,1961200],[6,18,"f","(4,4,2,2,2,2,1,1)",2148120,2108310,"upper bound",0,2108310],[6,18,"f","(4,4,2,2,2,2,2)",952952,932878,"upper bound",0,932878],[6,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,120,"lower bound",120,838698],[6,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,26,"lower bound",26,2912630],[6,18,"f","(4,4,3,2,2,1,1,1)",5012280,4878510,"upper bound",0,4878510],[6,18,"f","(4,4,3,2,2,2,1)",4200768,4067862,"upper bound",0,4067862],[6,18,"f","(4,4,3,3,1,1,1,1)",3007368,2913162,"upper bound",0,2913162],[6,18,"f","(4,4,3,3,2,1,1)",5250960,5046000,"upper bound",0,5046000],[6,18,"f","(4,4,3,3,2,2)",2756754,2637672,"upper bound",0,2637672],[6,18,"f","(4,4,3,3,3,1)",2042040,1942830,"upper bound",0,1942830],[6,18,"f","(4,4,4,1,1,1,1,1,1)",779688,6,"lower bound",6,759052],[6,18,"f","(4,4,4,2,1,1,1,1)",2598960,2501520,"upper bound",0,2501520],[6,18,"f","(4,4,4,2,2,1,1)",3675672,3506838,"upper bound",0,3506838],[6,18,"f","(4,4,4,2,2,2)",1823250,1731250,"upper bound",0,1731250],[6,18,"f","(4,4,4,3,1,1,1)",2858856,2710074,"upper bound",0,2710074],[6,18,"f","(4,4,4,3,2,1)",3734016,3510848,"upper bound",0,3510848],[6,18,"f","(4,4,4,3,3)",875160,814870,"upper bound",0,814870],[6,18,"f","(4,4,4,4,1,1)",1021020,948610,"upper bound",0,948610],[6,18,"f","(4,4,4,4,2)",787644,726912,"upper bound",0,726912],[6,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,151,"lower bound",151,2380],[6,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,520,"lower bound",520,24192],[6,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,688,"lower bound",688,116025],[6,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,428,"lower bound",428,338736],[6,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,122,"lower bound",122,652695],[6,18,"f","(5,2,2,2,2,2,1,1,1)",837760,12,"lower bound",12,830060],[6,18,"f","(5,2,2,2,2,2,2,1)",612612,605357,"upper bound",0,605357],[6,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,604,"lower bound",604,106029],[6,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,708,"lower bound",708,610092],[6,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,288,"lower bound",288,1771350],[6,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,37,"lower bound",37,3126165],[6,18,"f","(5,3,2,2,2,2,1,1)",3403400,3326435,"upper bound",0,3326435],[6,18,"f","(5,3,2,2,2,2,2)",1503684,1465194,"upper bound",0,1465194],[6,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,167,"lower bound",167,1129704],[6,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,38,"lower bound",38,3785892],[6,18,"f","(5,3,3,2,2,1,1,1)",6432426,6225240,"upper bound",0,6225240],[6,18,"f","(5,3,3,2,2,2,1)",5346432,5143560,"upper bound",0,5143560],[6,18,"f","(5,3,3,3,1,1,1,1)",3646500,3509375,"upper bound",0,3509375],[6,18,"f","(5,3,3,3,2,1,1)",6265350,5974305,"upper bound",0,5974305],[6,18,"f","(5,3,3,3,2,2)",3267264,3099984,"upper bound",0,3099984],[6,18,"f","(5,3,3,3,3,1)",2362932,2227557,"upper bound",0,2227557],[6,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,271,"lower bound",271,249564],[6,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,205,"lower bound",205,1432350],[6,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,38,"lower bound",38,3848940],[6,18,"f","(5,4,2,2,2,1,1,1)",6126120,5886020,"upper bound",0,5886020],[6,18,"f","(5,4,2,2,2,2,1)",4950400,4724510,"upper bound",0,4724510],[6,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,26,"lower bound",26,3085320],[6,18,"f","(5,4,3,2,1,1,1,1)",9801792,9321298,"upper bound",0,9321298],[6,18,"f","(5,4,3,2,2,1,1)",13366080,12575640,"upper bound",0,12575640],[6,18,"f","(5,4,3,2,2,2)",6534528,6113036,"upper bound",0,6113036],[6,18,"f","(5,4,3,3,1,1,1)",8486400,7922820,"upper bound",0,7922820],[6,18,"f","(5,4,3,3,2,1)",10720710,9912310,"upper bound",0,9912310],[6,18,"f","(5,4,3,3,3)",2333760,2133320,"upper bound",0,2133320],[6,18,"f","(5,4,4,1,1,1,1,1)",2858856,2684276,"upper bound",0,2684276],[6,18,"f","(5,4,4,2,1,1,1)",8019648,7411110,"upper bound",0,7411110],[6,18,"f","(5,4,4,2,2,1)",8270262,7564044,"upper bound",0,7564044],[6,18,"f","(5,4,4,3,1,1)",7088796,6423336,"upper bound",0,6423336],[6,18,"f","(5,4,4,3,2)",5105100,4589190,"upper bound",0,4589190],[6,18,"f","(5,4,4,4,1)",1867008,1651220,"upper bound",0,1651220],[6,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,38,"lower bound",38,294120],[6,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,13,"lower bound",13,1571010],[6,18,"f","(5,5,2,2,1,1,1,1)",3978000,3725700,"upper bound",0,3725700],[6,18,"f","(5,5,2,2,2,1,1)",5012280,4636380,"upper bound",0,4636380],[6,18,"f","(5,5,2,2,2,2)",2382380,2189285,"upper bound",0,2189285],[6,18,"f","(5,5,3,1,1,1,1,1)",3508596,3256050,"upper bound",0,3256050],[6,18,"f","(5,5,3,2,1,1,1)",9165312,8357532,"upper bound",0,8357532],[6,18,"f","(5,5,3,2,2,1)",9189180,8285235,"upper bound",0,8285235],[6,18,"f","(5,5,3,3,1,1)",6534528,5832428,"upper bound",0,5832428],[6,18,"f","(5,5,3,3,2)",4594590,4065855,"upper bound",0,4065855],[6,18,"f","(5,5,4,1,1,1,1)",3508596,3145044,"upper bound",0,3145044],[6,18,"f","(5,5,4,2,1,1)",7876440,6939225,"upper bound",0,6939225],[6,18,"f","(5,5,4,2,2)",4594590,4011510,"upper bound",0,4011510],[6,18,"f","(5,5,4,3,1)",5105100,4406515,"upper bound",0,4406515],[6,18,"f","(5,5,4,4)",787644,663525,"upper bound",0,663525],[6,18,"f","(5,5,5,1,1,1)",1429428,1224391,"upper bound",0,1224391],[6,18,"f","(5,5,5,2,1)",2333760,1967690,"upper bound",0,1967690],[6,18,"f","(5,5,5,3)",875160,724500,"upper bound",0,724500],[6,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,131,"lower bound",131,6188],[6,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,337,"lower bound",337,60060],[6,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,309,"lower bound",309,266715],[6,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,122,"lower bound",122,703059],[6,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,18,"lower bound",18,1183930],[6,18,"f","(6,2,2,2,2,2,1,1)",1272348,1229718,"upper bound",0,1229718],[6,18,"f","(6,2,2,2,2,2,2)",556920,536005,"upper bound",0,536005],[6,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,269,"lower bound",269,252735],[6,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,190,"lower bound",190,1324704],[6,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,37,"lower bound",37,3406113],[6,18,"f","(6,3,2,2,2,1,1,1)",5361664,5087600,"upper bound",0,5087600],[6,18,"f","(6,3,2,2,2,2,1)",4288284,4035311,"upper bound",0,4035311],[6,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,19,"lower bound",19,2225160],[6,18,"f","(6,3,3,2,1,1,1,1)",6872250,6438075,"upper bound",0,6438075],[6,18,"f","(6,3,3,2,2,1,1)",9189180,8497125,"upper bound",0,8497125],[6,18,"f","(6,3,3,2,2,2)",4455360,4091440,"upper bound",0,4091440],[6,18,"f","(6,3,3,3,1,1,1)",5469750,5010400,"upper bound",0,5010400],[6,18,"f","(6,3,3,3,2,1)",6789120,6147560,"upper bound",0,6147560],[6,18,"f","(6,3,3,3,3)",1429428,1277053,"upper bound",0,1277053],[6,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,73,"lower bound",73,591066],[6,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,24,"lower bound",24,3040380],[6,18,"f","(6,4,2,2,1,1,1,1)",7634088,7065072,"upper bound",0,7065072],[6,18,"f","(6,4,2,2,2,1,1)",9529520,8695400,"upper bound",0,8695400],[6,18,"f","(6,4,2,2,2,2)",4511052,4085739,"upper bound",0,4085739],[6,18,"f","(6,4,3,1,1,1,1,1)",6361740,5826240,"upper bound",0,5826240],[6,18,"f","(6,4,3,2,1,1,1)",16336320,14666960,"upper bound",0,14666960],[6,18,"f","(6,4,3,2,2,1)",16243500,14400225,"upper bound",0,14400225],[6,18,"f","(6,4,3,3,1,1)",11277630,9885330,"upper bound",0,9885330],[6,18,"f","(6,4,3,3,2)",7876440,6838575,"upper bound",0,6838575],[6,18,"f","(6,4,4,1,1,1,1)",5105100,4495960,"upper bound",0,4495960],[6,18,"f","(6,4,4,2,1,1)",11277630,9742635,"upper bound",0,9742635],[6,18,"f","(6,4,4,2,2)",6534528,5589156,"upper bound",0,5589156],[6,18,"f","(6,4,4,3,1)",7088796,5987079,"upper bound",0,5987079],[6,18,"f","(6,4,4,4)",1021020,839665,"upper bound",0,839665],[6,18,"f","(6,5,1,1,1,1,1,1,1)",875160,5,"lower bound",5,805650],[6,18,"f","(6,5,2,1,1,1,1,1)",4230144,3786000,"upper bound",0,3786000],[6,18,"f","(6,5,2,2,1,1,1)",8576568,7509348,"upper bound",0,7509348],[6,18,"f","(6,5,2,2,2,1)",7920640,6839560,"upper bound",0,6839560],[6,18,"f","(6,5,3,1,1,1,1)",7876440,6807450,"upper bound",0,6807450],[6,18,"f","(6,5,3,2,1,1)",16243500,13755700,"upper bound",0,13755700],[6,18,"f","(6,5,3,2,2)",9189180,7700280,"upper bound",0,7700280],[6,18,"f","(6,5,3,3,1)",8270262,6839322,"upper bound",0,6839322],[6,18,"f","(6,5,4,1,1,1)",6789120,5620280,"upper bound",0,5620280],[6,18,"f","(6,5,4,2,1)",10720710,8719410,"upper bound",0,8719410],[6,18,"f","(6,5,4,3)",3734016,2975960,"upper bound",0,2975960],[6,18,"f","(6,5,5,1,1)",2362932,1855209,"upper bound",0,1855209],[6,18,"f","(6,5,5,2)",2042040,1581520,"upper bound",0,1581520],[6,18,"f","(6,6,1,1,1,1,1,1)",659736,564690,"upper bound",0,564690],[6,18,"f","(6,6,2,1,1,1,1)",2784600,2308530,"upper bound",0,2308530],[6,18,"f","(6,6,2,2,1,1)",4511052,3656772,"upper bound",0,3656772],[6,18,"f","(6,6,2,2,2)",2382380,1909040,"upper bound",0,1909040],[6,18,"f","(6,6,3,1,1,1)",4455360,3556560,"upper bound",0,3556560],[6,18,"f","(6,6,3,2,1)",6534528,5118848,"upper bound",0,5118848],[6,18,"f","(6,6,3,3)",1823250,1397950,"upper bound",0,1397950],[6,18,"f","(6,6,4,1,1)",3267264,2493736,"upper bound",0,2493736],[6,18,"f","(6,6,4,2)",2756754,2074590,"upper bound",0,2074590],[6,18,"f","(6,6,5,1)",1021020,738815,"upper bound",0,738815],[6,18,"f","(6,6,6)",87516,59425,"upper bound",0,59425],[6,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,64,"lower bound",64,12376],[6,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,109,"lower bound",109,110340],[6,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,60,"lower bound",60,440874],[6,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,12,"lower bound",12,1021748],[6,18,"f","(7,2,2,2,2,1,1,1)",1575288,1451472,"upper bound",0,1451472],[6,18,"f","(7,2,2,2,2,2,1)",1233792,1123710,"upper bound",0,1123710],[6,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,47,"lower bound",47,424575],[6,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,14,"lower bound",14,1974147],[6,18,"f","(7,3,2,2,1,1,1,1)",4862000,4364860,"upper bound",0,4364860],[6,18,"f","(7,3,2,2,2,1,1)",5937624,5235384,"upper bound",0,5235384],[6,18,"f","(7,3,2,2,2,2)",2784600,2432430,"upper bound",0,2432430],[6,18,"f","(7,3,3,1,1,1,1,1)",3281850,2906925,"upper bound",0,2906925],[6,18,"f","(7,3,3,2,1,1,1)",8078400,6978990,"upper bound",0,6978990],[6,18,"f","(7,3,3,2,2,1)",7876440,6699090,"upper bound",0,6699090],[6,18,"f","(7,3,3,3,1,1)",5105100,4282110,"upper bound",0,4282110],[6,18,"f","(7,3,3,3,2)",3508596,2909256,"upper bound",0,2909256],[6,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,4,"lower bound",4,915744],[6,18,"f","(7,4,2,1,1,1,1,1)",4725864,4108044,"upper bound",0,4108044],[6,18,"f","(7,4,2,2,1,1,1)",9382912,7946960,"upper bound",0,7946960],[6,18,"f","(7,4,2,2,2,1)",8576568,7147056,"upper bound",0,7147056],[6,18,"f","(7,4,3,1,1,1,1)",8078400,6738540,"upper bound",0,6738540],[6,18,"f","(7,4,3,2,1,1)",16336320,13307910,"upper bound",0,13307910],[6,18,"f","(7,4,3,2,2)",9165312,7376244,"upper bound",0,7376244],[6,18,"f","(7,4,3,3,1)",8019648,6357120,"upper bound",0,6357120],[6,18,"f","(7,4,4,1,1,1)",5469750,4340325,"upper bound",0,4340325],[6,18,"f","(7,4,4,2,1)",8486400,6599820,"upper bound",0,6599820],[6,18,"f","(7,4,4,3)",2858856,2172996,"upper bound",0,2172996],[6,18,"f","(7,5,1,1,1,1,1,1)",1432080,1195740,"upper bound",0,1195740],[6,18,"f","(7,5,2,1,1,1,1)",5937624,4784976,"upper bound",0,4784976],[6,18,"f","(7,5,2,2,1,1)",9529520,7491820,"upper bound",0,7491820],[6,18,"f","(7,5,2,2,2)",5012280,3890880,"upper bound",0,3890880],[6,18,"f","(7,5,3,1,1,1)",9189180,7103250,"upper bound",0,7103250],[6,18,"f","(7,5,3,2,1)",13366080,10121370,"upper bound",0,10121370],[6,18,"f","(7,5,3,3)",3675672,2719248,"upper bound",0,2719248],[6,18,"f","(7,5,4,1,1)",6265350,4611705,"upper bound",0,4611705],[6,18,"f","(7,5,4,2)",5250960,3806520,"upper bound",0,3806520],[6,18,"f","(7,5,5,1)",1575288,1094496,"upper bound",0,1094496],[6,18,"f","(7,6,1,1,1,1,1)",1233792,934920,"upper bound",0,934920],[6,18,"f","(7,6,2,1,1,1)",4288284,3138114,"upper bound",0,3138114],[6,18,"f","(7,6,2,2,1)",4950400,3545360,"upper bound",0,3545360],[6,18,"f","(7,6,3,1,1)",5346432,3759000,"upper bound",0,3759000],[6,18,"f","(7,6,3,2)",4200768,2907582,"upper bound",0,2907582],[6,18,"f","(7,6,4,1)",2756754,1850919,"upper bound",0,1850919],[6,18,"f","(7,6,5)",466752,297090,"upper bound",0,297090],[6,18,"f","(7,7,1,1,1,1)",556920,373170,"upper bound",0,373170],[6,18,"f","(7,7,2,1,1)",1503684,975576,"upper bound",0,975576],[6,18,"f","(7,7,2,2)",952952,608188,"upper bound",0,608188],[6,18,"f","(7,7,3,1)",1312740,821220,"upper bound",0,821220],[6,18,"f","(7,7,4)",364650,218865,"upper bound",0,218865],[6,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,15,"lower bound",15,18656],[6,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,13,"lower bound",13,147609],[6,18,"f","(8,2,2,1,1,1,1,1,1)",595595,3,"lower bound",3,518245],[6,18,"f","(8,2,2,2,1,1,1,1)",1225224,1028580,"upper bound",0,1028580],[6,18,"f","(8,2,2,2,2,1,1)",1432080,1172940,"upper bound",0,1172940],[6,18,"f","(8,2,2,2,2,2)",659736,533652,"upper bound",0,533652],[6,18,"f","(8,3,1,1,1,1,1,1,1)",590733,1,"lower bound",1,503046],[6,18,"f","(8,3,2,1,1,1,1,1)",2489344,2026544,"upper bound",0,2026544],[6,18,"f","(8,3,2,2,1,1,1)",4725864,3720696,"upper bound",0,3720696],[6,18,"f","(8,3,2,2,2,1)",4230144,3262848,"upper bound",0,3262848],[6,18,"f","(8,3,3,1,1,1,1)",3281850,2534145,"upper bound",0,2534145],[6,18,"f","(8,3,3,2,1,1)",6361740,4770150,"upper bound",0,4770150],[6,18,"f","(8,3,3,2,2)",3508596,2591862,"upper bound",0,2591862],[6,18,"f","(8,3,3,3,1)",2858856,2073624,"upper bound",0,2073624],[6,18,"f","(8,4,1,1,1,1,1,1)",1225224,961800,"upper bound",0,961800],[6,18,"f","(8,4,2,1,1,1,1)",4862000,3655540,"upper bound",0,3655540],[6,18,"f","(8,4,2,2,1,1)",7634088,5572476,"upper bound",0,5572476],[6,18,"f","(8,4,2,2,2)",3978000,2860500,"upper bound",0,2860500],[6,18,"f","(8,4,3,1,1,1)",6872250,4916625,"upper bound",0,4916625],[6,18,"f","(8,4,3,2,1)",9801792,6845664,"upper bound",0,6845664],[6,18,"f","(8,4,3,3)",2598960,1766940,"upper bound",0,1766940],[6,18,"f","(8,4,4,1,1)",3646500,2463750,"upper bound",0,2463750],[6,18,"f","(8,4,4,2)",3007368,1997016,"upper bound",0,1997016],[6,18,"f","(8,5,1,1,1,1,1)",1575288,1122156,"upper bound",0,1122156],[6,18,"f","(8,5,2,1,1,1)",5361664,3670688,"upper bound",0,3670688],[6,18,"f","(8,5,2,2,1)",6126120,4093320,"upper bound",0,4093320],[6,18,"f","(8,5,3,1,1)",6432426,4209597,"upper bound",0,4209597],[6,18,"f","(8,5,3,2)",5012280,3223500,"upper bound",0,3223500],[6,18,"f","(8,5,4,1)",3055104,1899168,"upper bound",0,1899168],[6,18,"f","(8,5,5)",408408,239316,"upper bound",0,239316],[6,18,"f","(8,6,1,1,1,1)",1272348,808416,"upper bound",0,808416],[6,18,"f","(8,6,2,1,1)",3403400,2088310,"upper bound",0,2088310],[6,18,"f","(8,6,2,2)",2148120,1294980,"upper bound",0,1294980],[6,18,"f","(8,6,3,1)",2923830,1725045,"upper bound",0,1725045],[6,18,"f","(8,6,4)",787644,444516,"upper bound",0,444516],[6,18,"f","(8,7,1,1,1)",612612,340494,"upper bound",0,340494],[6,18,"f","(8,7,2,1)",1131520,611120,"upper bound",0,611120],[6,18,"f","(8,7,3)",510510,267015,"upper bound",0,267015],[6,18,"f","(8,8,1,1)",143208,68076,"upper bound",0,68076],[6,18,"f","(8,8,2)",136136,63364,"upper bound",0,63364],[6,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,1,"lower bound",1,19855],[6,18,"f","(9,2,1,1,1,1,1,1,1)",183040,137720,"upper bound",0,137720],[6,18,"f","(9,2,2,1,1,1,1,1)",590733,417807,"upper bound",0,417807],[6,18,"f","(9,2,2,2,1,1,1)",1018368,689448,"upper bound",0,689448],[6,18,"f","(9,2,2,2,2,1)",875160,577080,"upper bound",0,577080],[6,18,"f","(9,3,1,1,1,1,1,1)",595595,409570,"upper bound",0,409570],[6,18,"f","(9,3,2,1,1,1,1)",2144142,1395555,"upper bound",0,1395555],[6,18,"f","(9,3,2,2,1,1)",3222180,2022030,"upper bound",0,2022030],[6,18,"f","(9,3,2,2,2)",1649340,1016190,"upper bound",0,1016190],[6,18,"f","(9,3,3,1,1,1)",2333760,1429080,"upper bound",0,1429080],[6,18,"f","(9,3,3,2,1)",3198720,1903440,"upper bound",0,1903440],[6,18,"f","(9,3,3,3)",779688,449652,"upper bound",0,449652],[6,18,"f","(9,4,1,1,1,1,1)",1089088,678524,"upper bound",0,678524],[6,18,"f","(9,4,2,1,1,1)",3544398,2105271,"upper bound",0,2105271],[6,18,"f","(9,4,2,2,1)",3965760,2289060,"upper bound",0,2289060],[6,18,"f","(9,4,3,1,1)",3877632,2184264,"upper bound",0,2184264],[6,18,"f","(9,4,3,2)",2970240,1640100,"upper bound",0,1640100],[6,18,"f","(9,4,4,1)",1429428,759066,"upper bound",0,759066],[6,18,"f","(9,5,1,1,1,1)",1215500,679420,"upper bound",0,679420],[6,18,"f","(9,5,2,1,1)",3180870,1708245,"upper bound",0,1708245],[6,18,"f","(9,5,2,2)",1989000,1047000,"upper bound",0,1047000],[6,18,"f","(9,5,3,1)",2625480,1348650,"upper bound",0,1348650],[6,18,"f","(9,5,4)",649740,317520,"upper bound",0,317520],[6,18,"f","(9,6,1,1,1)",837760,415520,"upper bound",0,415520],[6,18,"f","(9,6,2,1)",1531530,735945,"upper bound",0,735945],[6,18,"f","(9,6,3)",678912,314928,"upper bound",0,314928],[6,18,"f","(9,7,1,1)",340340,147910,"upper bound",0,147910],[6,18,"f","(9,7,2)",322218,136917,"upper bound",0,136917],[6,18,"f","(9,8,1)",70720,26540,"upper bound",0,26540],[6,18,"f","(9,9)",4862,0,"exact",0,0],[6,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,14,"lower bound",14,13260],[6,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,1,"lower bound",1,11934],[6,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,19,"f","(10,9)",16796,0,"exact",0,0],[6,19,"f","(13,1,1,1,1,1,1)",18564,1716,"upper bound",0,1716],[6,19,"f","(13,6)",15504,0,"exact",0,0],[6,19,"f","(14,1,1,1,1,1)",8568,0,"exact",0,0],[6,19,"f","(14,5)",7752,0,"exact",0,0],[6,19,"f","(15,1,1,1,1)",3060,0,"exact",0,0],[6,19,"f","(15,2,1,1)",9044,0,"exact",0,0],[6,19,"f","(15,2,2)",5985,0,"exact",0,0],[6,19,"f","(15,3,1)",8892,0,"exact",0,0],[6,19,"f","(15,4)",2907,0,"exact",0,0],[6,19,"f","(16,1,1,1)",816,0,"exact",0,0],[6,19,"f","(16,2,1)",1615,0,"exact",0,0],[6,19,"f","(16,3)",798,0,"exact",0,0],[6,19,"f","(17,1,1)",153,0,"exact",0,0],[6,19,"f","(17,2)",152,0,"exact",0,0],[6,19,"f","(18,1)",18,0,"exact",0,0],[6,19,"f","(19)",1,0,"exact",0,0],[6,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,11,"lower bound",11,15],[6,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,53,"lower bound",53,89],[6,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,20,"f","(10,10)",16796,8398,"upper bound",0,8398],[6,20,"f","(15,1,1,1,1,1)",11628,0,"exact",0,0],[6,20,"f","(15,5)",10659,0,"exact",0,0],[6,20,"f","(16,1,1,1,1)",3876,0,"exact",0,0],[6,20,"f","(16,2,1,1)",11475,0,"exact",0,0],[6,20,"f","(16,2,2)",7600,0,"exact",0,0],[6,20,"f","(16,3,1)",11305,0,"exact",0,0],[6,20,"f","(16,4)",3705,0,"exact",0,0],[6,20,"f","(17,1,1,1)",969,0,"exact",0,0],[6,20,"f","(17,2,1)",1920,0,"exact",0,0],[6,20,"f","(17,3)",950,0,"exact",0,0],[6,20,"f","(18,1,1)",171,0,"exact",0,0],[6,20,"f","(18,2)",170,0,"exact",0,0],[6,20,"f","(19,1)",19,0,"exact",0,0],[6,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,12,"lower 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bound",0,6300],[6,14,"p","(6,4,2,2)",42042,0,"lower bound",0,3636],[6,14,"p","(6,4,3,1)",50050,0,"lower bound",0,4040],[6,14,"p","(6,4,4)",9009,0,"exact",0,0],[6,14,"p","(6,5,1,1,1)",21021,0,"lower bound",0,1720],[6,14,"p","(6,5,2,1)",36608,0,"lower bound",0,2744],[6,14,"p","(6,5,3)",15015,0,"exact",0,0],[6,14,"p","(6,6,1,1)",7007,0,"exact",0,0],[6,14,"p","(6,6,2)",6435,0,"exact",0,0],[6,14,"p","(7,1,1,1,1,1,1,1)",1716,0,"exact",0,0],[6,14,"p","(7,2,1,1,1,1,1)",9504,0,"exact",0,0],[6,14,"p","(7,2,2,1,1,1)",21021,0,"lower bound",0,1124],[6,14,"p","(7,2,2,2,1)",20384,0,"lower bound",0,1034],[6,14,"p","(7,3,1,1,1,1)",21450,0,"lower bound",0,1140],[6,14,"p","(7,3,2,1,1)",47775,0,"lower bound",0,2360],[6,14,"p","(7,3,2,2)",28028,0,"lower bound",0,1326],[6,14,"p","(7,3,3,1)",27027,0,"lower bound",0,1236],[6,14,"p","(7,4,1,1,1)",24960,0,"lower bound",0,1220],[6,14,"p","(7,4,2,1)",42042,0,"lower 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bound",0,336],[6,14,"p","(8,3,3)",7007,0,"exact",0,0],[6,14,"p","(8,4,1,1)",13650,0,"exact",0,0],[6,14,"p","(8,4,2)",12012,0,"exact",0,0],[6,14,"p","(8,5,1)",6006,0,"exact",0,0],[6,14,"p","(8,6)",1001,0,"exact",0,0],[6,14,"p","(9,1,1,1,1,1)",1287,0,"exact",0,0],[6,14,"p","(9,2,1,1,1)",4928,0,"exact",0,0],[6,14,"p","(9,2,2,1)",6006,0,"exact",0,0],[6,14,"p","(9,3,1,1)",7007,0,"exact",0,0],[6,14,"p","(9,3,2)",5733,0,"exact",0,0],[6,14,"p","(9,4,1)",4368,0,"exact",0,0],[6,14,"p","(9,5)",1001,0,"exact",0,0],[6,14,"p","(10,1,1,1,1)",715,0,"exact",0,0],[6,14,"p","(10,2,1,1)",2079,0,"exact",0,0],[6,14,"p","(10,2,2)",1365,0,"exact",0,0],[6,14,"p","(10,3,1)",2002,0,"exact",0,0],[6,14,"p","(10,4)",637,0,"exact",0,0],[6,14,"p","(11,1,1,1)",286,0,"exact",0,0],[6,14,"p","(11,2,1)",560,0,"exact",0,0],[6,14,"p","(11,3)",273,0,"exact",0,0],[6,14,"p","(12,1,1)",78,0,"exact",0,0],[6,14,"p","(12,2)",77,0,"exact",0,0],[6,14,"p","(13,1)",13,0,"exact",0,0],[6,14,"p","(14)",1,0,"exact",0,0],[6,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[6,15,"p","(5,4,4,2)",81081,29277,"upper bound",0,29277],[6,15,"p","(5,5,2,2,1)",125125,45650,"upper bound",0,45650],[6,15,"p","(5,5,3,1,1)",126126,43812,"upper bound",0,43812],[6,15,"p","(5,5,3,2)",96525,32250,"upper bound",0,32250],[6,15,"p","(5,5,4,1)",54054,16638,"upper bound",0,16638],[6,15,"p","(5,5,5)",6006,0,"exact",0,0],[6,15,"p","(6,3,2,2,2)",112112,40184,"upper bound",0,40184],[6,15,"p","(6,3,3,1,1,1)",156000,55160,"upper bound",0,55160],[6,15,"p","(6,3,3,2,1)",210210,70300,"upper bound",0,70300],[6,15,"p","(6,3,3,3)",50050,15750,"upper bound",0,15750],[6,15,"p","(6,4,1,1,1,1,1)",70070,25690,"upper bound",0,25690],[6,15,"p","(6,4,2,1,1,1)",221130,73710,"upper bound",0,73710],[6,15,"p","(6,4,2,2,1)",243243,76626,"upper bound",0,76626],[6,15,"p","(6,4,3,1,1)",231660,69360,"upper bound",0,69360],[6,15,"p","(6,4,3,2)",175175,50450,"upper bound",0,50450],[6,15,"p","(6,4,4,1)",80080,21220,"upper bound",0,21220],[6,15,"p","(6,5,1,1,1,1)",63700,18830,"upper bound",0,18830],[6,15,"p","(6,5,2,1,1)",162162,44184,"upper bound",0,44184],[6,15,"p","(6,5,2,2)",100100,26200,"upper bound",0,26200],[6,15,"p","(6,5,3,1)",128700,31950,"upper bound",0,31950],[6,15,"p","(6,5,4)",30030,6680,"upper bound",0,6680],[6,15,"p","(6,6,1,1,1)",28028,6496,"upper bound",0,6496],[6,15,"p","(6,6,2,1)",50050,10850,"upper bound",0,10850],[6,15,"p","(6,6,3)",21450,4300,"upper bound",0,4300],[6,15,"p","(7,1,1,1,1,1,1,1,1)",3003,0,"exact",0,0],[6,15,"p","(7,2,1,1,1,1,1,1)",19305,0,"exact",0,0],[6,15,"p","(7,2,2,1,1,1,1)",51975,13965,"upper bound",0,13965],[6,15,"p","(7,2,2,2,1,1)",70070,17535,"upper bound",0,17535],[6,15,"p","(7,2,2,2,2)",34398,8316,"upper bound",0,8316],[6,15,"p","(7,3,1,1,1,1,1)",51975,13440,"upper bound",0,13440],[6,15,"p","(7,3,2,1,1,1)",150150,35280,"upper bound",0,35280],[6,15,"p","(7,3,2,2,1)",159250,35385,"upper bound",0,35385],[6,15,"p","(7,3,3,1,1)",122850,26040,"upper bound",0,26040],[6,15,"p","(7,3,3,2)",90090,18375,"upper bound",0,18375],[6,15,"p","(7,4,1,1,1,1)",75075,16590,"upper bound",0,16590],[6,15,"p","(7,4,2,1,1)",184275,37485,"upper bound",0,37485],[6,15,"p","(7,4,2,2)",112112,21924,"upper bound",0,21924],[6,15,"p","(7,4,3,1)",135135,25095,"upper bound",0,25095],[6,15,"p","(7,4,4)",25025,4200,"upper bound",0,4200],[6,15,"p","(7,5,1,1,1)",61425,11445,"upper bound",0,11445],[6,15,"p","(7,5,2,1)",108108,18816,"upper bound",0,18816],[6,15,"p","(7,5,3)",45045,7245,"upper bound",0,7245],[6,15,"p","(7,6,1,1)",27027,4179,"upper bound",0,4179],[6,15,"p","(7,6,2)",25025,3675,"upper bound",0,3675],[6,15,"p","(7,7,1)",5005,0,"exact",0,0],[6,15,"p","(8,1,1,1,1,1,1,1)",3432,0,"exact",0,0],[6,15,"p","(8,2,1,1,1,1,1)",19305,0,"exact",0,0],[6,15,"p","(8,2,2,1,1,1)",43120,5040,"upper bound",0,5040],[6,15,"p","(8,2,2,2,1)",42042,4704,"upper bound",0,4704],[6,15,"p","(8,3,1,1,1,1)",44550,5160,"upper bound",0,5160],[6,15,"p","(8,3,2,1,1)",100100,10920,"upper bound",0,10920],[6,15,"p","(8,3,2,2)",58968,6216,"upper bound",0,6216],[6,15,"p","(8,3,3,1)",57330,5880,"upper bound",0,5880],[6,15,"p","(8,4,1,1,1)",53625,5760,"upper bound",0,5760],[6,15,"p","(8,4,2,1)",91000,9240,"upper bound",0,9240],[6,15,"p","(8,4,3)",35035,3360,"upper bound",0,3360],[6,15,"p","(8,5,1,1)",35100,3480,"upper bound",0,3480],[6,15,"p","(8,5,2)",32032,3024,"upper bound",0,3024],[6,15,"p","(8,6,1)",11583,0,"exact",0,0],[6,15,"p","(8,7)",1430,0,"exact",0,0],[6,15,"p","(9,1,1,1,1,1,1)",3003,0,"exact",0,0],[6,15,"p","(9,2,1,1,1,1)",14300,0,"exact",0,0],[6,15,"p","(9,2,2,1,1)",24948,756,"upper bound",0,756],[6,15,"p","(9,2,2,2)",13650,0,"exact",0,0],[6,15,"p","(9,3,1,1,1)",26950,840,"upper bound",0,840],[6,15,"p","(9,3,2,1)",42042,1344,"upper bound",0,1344],[6,15,"p","(9,3,3)",12740,0,"exact",0,0],[6,15,"p","(9,4,1,1)",25025,840,"upper bound",0,840],[6,15,"p","(9,4,2)",22113,756,"upper bound",0,756],[6,15,"p","(9,5,1)",11375,0,"exact",0,0],[6,15,"p","(9,6)",2002,0,"exact",0,0],[6,15,"p","(10,1,1,1,1,1)",2002,0,"exact",0,0],[6,15,"p","(10,2,1,1,1)",7722,0,"exact",0,0],[6,15,"p","(10,2,2,1)",9450,0,"exact",0,0],[6,15,"p","(10,3,1,1)",11088,0,"exact",0,0],[6,15,"p","(10,3,2)",9100,0,"exact",0,0],[6,15,"p","(10,4,1)",7007,0,"exact",0,0],[6,15,"p","(10,5)",1638,0,"exact",0,0],[6,15,"p","(11,1,1,1,1)",1001,0,"exact",0,0],[6,15,"p","(11,2,1,1)",2925,0,"exact",0,0],[6,15,"p","(11,2,2)",1925,0,"exact",0,0],[6,15,"p","(11,3,1)",2835,0,"exact",0,0],[6,15,"p","(11,4)",910,0,"exact",0,0],[6,15,"p","(12,1,1,1)",364,0,"exact",0,0],[6,15,"p","(12,2,1)",715,0,"exact",0,0],[6,15,"p","(12,3)",350,0,"exact",0,0],[6,15,"p","(13,1,1)",91,0,"exact",0,0],[6,15,"p","(13,2)",90,0,"exact",0,0],[6,15,"p","(14,1)",14,0,"exact",0,0],[6,15,"p","(15)",1,0,"exact",0,0],[6,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,4,"exact",4,4],[6,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,9,"exact",9,9],[6,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,13,"exact",13,13],[6,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,8,"exact",8,8],[6,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,1,"exact",1,1],[6,15,"p","(2,2,2,2,2,2,1,1,1)",2002,0,"exact",0,0],[6,15,"p","(2,2,2,2,2,2,2,1)",1430,0,"exact",0,0],[6,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,9,"exact",9,9],[6,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,26,"exact",26,26],[6,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,24,"exact",24,24],[6,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,8,"exact",8,8],[6,15,"p","(3,2,2,2,2,1,1,1,1)",11375,4860,"upper bound",0,4860],[6,15,"p","(3,2,2,2,2,2,1,1)",11583,4908,"upper bound",0,4908],[6,15,"p","(3,2,2,2,2,2,2)",5005,0,"exact",0,0],[6,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,16,"exact",16,16],[6,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,9,"exact",9,9],[6,15,"p","(3,3,2,2,1,1,1,1,1)",22113,1,"lower bound",1,9306],[6,15,"p","(3,3,2,2,2,1,1,1)",32032,13334,"upper bound",0,13334],[6,15,"p","(3,3,2,2,2,2,1)",25025,10350,"upper bound",0,10350],[6,15,"p","(3,3,3,1,1,1,1,1,1)",12740,1,"lower bound",1,9],[6,15,"p","(3,3,3,2,1,1,1,1)",35035,14434,"upper bound",0,14434],[6,15,"p","(3,3,3,2,2,1,1)",45045,18390,"upper bound",0,18390],[6,15,"p","(3,3,3,2,2,2)",21450,8718,"upper bound",0,8718],[6,15,"p","(3,3,3,3,1,1,1)",25025,10152,"upper bound",0,10152],[6,15,"p","(3,3,3,3,2,1)",30030,12096,"upper bound",0,12096],[6,15,"p","(3,3,3,3,3)",6006,0,"exact",0,0],[6,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,13,"exact",13,13],[6,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,24,"exact",24,24],[6,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,14,"exact",14,14],[6,15,"p","(4,2,2,2,1,1,1,1,1)",25025,3,"lower bound",3,10400],[6,15,"p","(4,2,2,2,2,1,1,1)",35100,14430,"upper bound",0,14430],[6,15,"p","(4,2,2,2,2,2,1)",27027,11040,"upper bound",0,11040],[6,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,9,"exact",9,9],[6,15,"p","(4,3,2,1,1,1,1,1,1)",42042,17267,"upper bound",0,17267],[6,15,"p","(4,3,2,2,1,1,1,1)",91000,36865,"upper bound",0,36865],[6,15,"p","(4,3,2,2,2,1,1)",108108,43403,"upper bound",0,43403],[6,15,"p","(4,3,2,2,2,2)",50050,20005,"upper bound",0,20005],[6,15,"p","(4,3,3,1,1,1,1,1)",57330,23058,"upper bound",0,23058],[6,15,"p","(4,3,3,2,1,1,1)",135135,53708,"upper bound",0,53708],[6,15,"p","(4,3,3,2,2,1)",128700,50792,"upper bound",0,50792],[6,15,"p","(4,3,3,3,1,1)",80080,31408,"upper bound",0,31408],[6,15,"p","(4,3,3,3,2)",54054,21096,"upper bound",0,21096],[6,15,"p","(4,4,1,1,1,1,1,1,1)",13650,1,"lower bound",1,3],[6,15,"p","(4,4,2,1,1,1,1,1)",58968,23487,"upper bound",0,23487],[6,15,"p","(4,4,2,2,1,1,1)",112112,44128,"upper bound",0,44128],[6,15,"p","(4,4,2,2,2,1)",100100,39125,"upper bound",0,39125],[6,15,"p","(4,4,3,1,1,1,1)",90090,35208,"upper bound",0,35208],[6,15,"p","(4,4,3,2,1,1)",175175,67788,"upper bound",0,67788],[6,15,"p","(4,4,3,2,2)",96525,37170,"upper bound",0,37170],[6,15,"p","(4,4,3,3,1)",81081,31032,"upper bound",0,31032],[6,15,"p","(4,4,4,1,1,1)",50050,19147,"upper bound",0,19147],[6,15,"p","(4,4,4,2,1)",75075,28500,"upper bound",0,28500],[6,15,"p","(4,4,4,3)",24024,9042,"upper bound",0,9042],[6,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,8,"exact",8,8],[6,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,8,"lower bound",8,15],[6,15,"p","(5,2,2,1,1,1,1,1,1)",26950,3,"lower bound",3,10840],[6,15,"p","(5,2,2,2,1,1,1,1)",53625,21280,"upper bound",0,21280],[6,15,"p","(5,2,2,2,2,1,1)",61425,24160,"upper bound",0,24160],[6,15,"p","(5,2,2,2,2,2)",28028,10976,"upper bound",0,10976],[6,15,"p","(5,3,1,1,1,1,1,1,1)",24948,1,"lower bound",1,9954],[6,15,"p","(5,3,2,1,1,1,1,1)",100100,39275,"upper bound",0,39275],[6,15,"p","(5,3,2,2,1,1,1)",184275,71460,"upper bound",0,71460],[6,15,"p","(5,3,2,2,2,1)",162162,62451,"upper bound",0,62451],[6,15,"p","(5,3,3,1,1,1,1)",122850,47308,"upper bound",0,47308],[6,15,"p","(5,3,3,2,1,1)",231660,88344,"upper bound",0,88344],[6,15,"p","(5,3,3,2,2)",126126,47866,"upper bound",0,47866],[6,15,"p","(5,3,3,3,1)",100100,37760,"upper bound",0,37760],[6,15,"p","(5,4,1,1,1,1,1,1)",42042,16282,"upper bound",0,16282],[6,15,"p","(5,4,2,1,1,1,1)",159250,60760,"upper bound",0,60760],[6,15,"p","(5,4,2,2,1,1)",243243,91908,"upper bound",0,91908],[6,15,"p","(5,4,2,2,2)",125125,47050,"upper bound",0,47050],[6,15,"p","(5,4,3,1,1,1)",210210,78876,"upper bound",0,78876],[6,15,"p","(5,4,3,2,1)",292864,109056,"upper bound",0,109056],[6,15,"p","(5,4,3,3)",75075,27720,"upper bound",0,27720],[6,15,"p","(5,4,4,1,1)",100100,36860,"upper bound",0,36860],[6,15,"p","(5,5,1,1,1,1,1)",34398,12880,"upper bound",0,12880],[6,15,"p","(5,5,2,1,1,1)",112112,41440,"upper bound",0,41440],[6,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,1,"exact",1,1],[6,15,"p","(6,2,1,1,1,1,1,1,1)",14300,0,"exact",0,0],[6,15,"p","(6,2,2,1,1,1,1,1)",44550,16950,"upper bound",0,16950],[6,15,"p","(6,2,2,2,1,1,1)",75075,28240,"upper bound",0,28240],[6,15,"p","(6,2,2,2,2,1)",63700,23800,"upper bound",0,23800],[6,15,"p","(6,3,1,1,1,1,1,1)",43120,16282,"upper bound",0,16282],[6,15,"p","(6,3,2,1,1,1,1)",150150,55877,"upper bound",0,55877],[6,15,"p","(6,3,2,2,1,1)",221130,81513,"upper bound",0,81513],[6,12,"s","(12)",1,0,"lower bound",0,1],[6,12,"s","(11,1)",11,0,"lower bound",0,11],[6,12,"s","(10,2)",54,0,"lower bound",0,54],[6,12,"s","(10,1,1)",55,0,"lower bound",0,55],[6,12,"s","(9,3)",154,0,"lower bound",0,154],[6,12,"s","(9,2,1)",320,0,"lower bound",0,320],[6,12,"s","(9,1,1,1)",165,0,"lower bound",0,165],[6,12,"s","(8,4)",275,0,"lower bound",0,275],[6,12,"s","(8,3,1)",891,0,"lower bound",0,891],[6,12,"s","(8,2,2)",616,0,"lower bound",0,616],[6,12,"s","(8,2,1,1)",945,0,"lower bound",0,945],[6,12,"s","(8,1,1,1,1)",330,0,"lower bound",0,330],[6,12,"s","(7,5)",297,0,"lower bound",0,297],[6,12,"s","(7,4,1)",1408,0,"lower bound",0,1408],[6,12,"s","(7,3,2)",1925,0,"lower bound",0,1925],[6,12,"s","(7,3,1,1)",2376,0,"lower bound",0,2376],[6,12,"s","(7,2,2,1)",2079,0,"lower bound",0,2079],[6,12,"s","(7,2,1,1,1)",1728,0,"lower bound",0,1728],[6,12,"s","(7,1,1,1,1,1)",462,0,"lower bound",0,462],[6,12,"s","(6,6)",132,0,"lower bound",0,132],[6,12,"s","(6,5,1)",1155,0,"lower bound",0,1155],[6,12,"s","(6,4,2)",2673,0,"lower bound",0,2673],[6,12,"s","(6,4,1,1)",3080,0,"lower bound",0,3080],[6,12,"s","(6,3,3)",1650,0,"lower bound",0,1650],[6,12,"s","(6,3,2,1)",5632,0,"lower bound",0,5632],[6,12,"s","(6,3,1,1,1)",3696,0,"lower 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bound",3,26950],[6,15,"t","(3,3,2,2,1,1,1,1,1)",22113,1,"lower bound",1,22113],[6,15,"t","(5,3,1,1,1,1,1,1,1)",24948,1,"lower bound",1,24948],[6,15,"t","(4,3,2,1,1,1,1,1,1)",42042,2,"lower bound",2,42042],[6,16,"t","(16)",1,0,"exact",0,0],[6,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,8,"lower bound",8,9],[6,16,"t","(15,1)",15,0,"exact",0,0],[6,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,25,"lower bound",25,31],[6,16,"t","(14,2)",104,0,"exact",0,0],[6,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,26,"lower bound",26,32],[6,16,"t","(14,1,1)",105,0,"exact",0,0],[6,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,40,"lower bound",40,57],[6,16,"t","(13,3)",440,0,"exact",0,0],[6,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,44,"lower bound",44,62],[6,16,"t","(13,1,1,1)",455,0,"exact",0,0],[6,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,83,"lower bound",83,118],[6,16,"t","(13,2,1)",896,0,"exact",0,0],[6,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,33,"lower bound",33,58],[6,16,"t","(12,4)",1260,0,"exact",0,0],[6,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,37,"lower bound",37,67],[6,16,"t","(12,1,1,1,1)",1365,0,"exact",0,0],[6,16,"t","(2,2,2,2,2,2,2,2)",1430,0,"exact",0,0],[6,16,"t","(8,8)",1430,0,"exact",0,0],[6,16,"t","(11,5)",2548,0,"exact",0,0],[6,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,69,"lower bound",69,122],[6,16,"t","(12,2,2)",2640,0,"exact",0,0],[6,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,13,"lower bound",13,32],[6,16,"t","(11,1,1,1,1,1)",3003,0,"exact",0,0],[6,16,"t","(9,7)",3432,0,"exact",0,0],[6,16,"t","(10,6)",3640,0,"exact",0,0],[6,16,"t","(12,3,1)",3900,0,"exact",0,0],[6,16,"t","(12,2,1,1)",4004,0,"exact",0,0],[6,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,1,"lower bound",1,277],[6,16,"t","(10,1,1,1,1,1,1)",5005,0,"exact",0,0],[6,16,"t","(8,1,1,1,1,1,1,1,1)",6435,0,"exact",0,0],[6,16,"t","(9,1,1,1,1,1,1,1)",6435,0,"exact",0,0],[6,16,"t","(11,4,1)",10752,0,"exact",0,0],[6,16,"t","(11,2,1,1,1)",11648,0,"exact",0,0],[6,16,"t","(11,3,2)",13860,0,"exact",0,0],[6,16,"t","(11,2,2,1)",14300,0,"exact",0,0],[6,16,"t","(11,3,1,1)",16848,0,"exact",0,0],[6,16,"t","(8,7,1)",18018,0,"exact",0,0],[6,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,104,"lower bound",104,3900],[6,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,108,"lower bound",108,1147],[6,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,71,"lower bound",71,14300],[6,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,57,"lower bound",57,10752],[6,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,12,"lower bound",12,2548],[6,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,70,"lower bound",70,13860],[6,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,91,"lower bound",91,16848],[6,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,59,"lower bound",59,11648],[6,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,11,"lower bound",11,20020],[6,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,12,"lower bound",12,21840],[6,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,22,"lower bound",22,42120],[6,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,11,"lower bound",11,24024],[6,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,42,"lower bound",42,71680],[6,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,31,"lower bound",31,45760],[6,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,22,"lower bound",22,38220],[6,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,31,"lower bound",31,43120],[6,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,12,"lower bound",12,23100],[6,16,"t","(5,3,2,1,1,1,1,1,1)",194040,6,"lower bound",6,194040],[6,16,"t","(4,2,2,2,2,1,1,1,1)",71500,3,"lower bound",3,71500],[6,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,1,"lower bound",1,3640],[6,16,"t","(3,3,3,2,1,1,1,1,1)",69888,2,"lower bound",2,69888],[6,16,"t","(5,2,2,2,1,1,1,1,1)",105600,6,"lower bound",6,105600],[6,16,"t","(5,4,1,1,1,1,1,1,1)",80640,2,"lower bound",2,80640],[6,16,"t","(6,3,1,1,1,1,1,1,1)",82368,1,"lower bound",1,82368],[6,16,"t","(3,3,2,2,2,1,1,1,1)",65520,1,"lower bound",1,65520],[6,16,"t","(4,3,3,1,1,1,1,1,1)",112112,3,"lower bound",3,112112],[6,16,"t","(4,3,2,2,1,1,1,1,1)",180180,6,"lower bound",6,180180],[6,16,"t","(6,2,2,1,1,1,1,1,1)",85800,3,"lower bound",3,85800],[6,16,"t","(4,4,2,1,1,1,1,1,1)",114660,3,"lower bound",3,114660],[6,17,"t","(17)",1,0,"exact",0,0],[6,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,9,"lower bound",9,11],[6,17,"t","(16,1)",16,0,"exact",0,0],[6,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,33,"lower bound",33,47],[6,17,"t","(15,2)",119,0,"exact",0,0],[6,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,34,"lower bound",34,48],[6,17,"t","(15,1,1)",120,0,"exact",0,0],[6,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,65,"lower bound",65,113],[6,17,"t","(14,3)",544,0,"exact",0,0],[6,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,70,"lower bound",70,120],[6,17,"t","(14,1,1,1)",560,0,"exact",0,0],[6,17,"t","(14,2,1)",1105,0,"exact",0,0],[6,17,"t","(13,4)",1700,0,"exact",0,0],[6,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,81,"lower bound",81,184],[6,17,"t","(13,1,1,1,1)",1820,0,"exact",0,0],[6,17,"t","(13,2,2)",3536,0,"exact",0,0],[6,17,"t","(12,5)",3808,0,"exact",0,0],[6,17,"t","(12,1,1,1,1,1)",4368,0,"exact",0,0],[6,17,"t","(9,8)",4862,0,"exact",0,0],[6,17,"t","(13,3,1)",5236,0,"exact",0,0],[6,17,"t","(13,2,1,1)",5355,0,"exact",0,0],[6,17,"t","(11,6)",6188,0,"exact",0,0],[6,17,"t","(10,7)",7072,0,"exact",0,0],[6,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,14,"lower bound",14,290],[6,17,"t","(11,1,1,1,1,1,1)",8008,0,"exact",0,0],[6,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,1,"lower bound",1,4902],[6,17,"t","(10,1,1,1,1,1,1,1)",11440,0,"exact",0,0],[6,17,"t","(9,1,1,1,1,1,1,1,1)",12870,0,"exact",0,0],[6,17,"t","(12,4,1)",15912,0,"exact",0,0],[6,17,"t","(12,2,1,1,1)",17017,0,"exact",0,0],[6,17,"t","(8,8,1)",19448,0,"exact",0,0],[6,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,73,"lower bound",73,1700],[6,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,45,"lower bound",45,3808],[6,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,134,"lower bound",134,1105],[6,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,227,"lower bound",227,5236],[6,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,194,"lower bound",194,15912],[6,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,152,"lower bound",152,3536],[6,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,243,"lower bound",243,20400],[6,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,235,"lower bound",235,5355],[6,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,303,"lower bound",303,24752],[6,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,248,"lower bound",248,20944],[6,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,204,"lower bound",204,17017],[6,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,50,"lower bound",50,1225],[6,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,274,"lower bound",274,116688],[6,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,83,"lower bound",83,37400],[6,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,152,"lower bound",152,68068],[6,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,179,"lower bound",179,70720],[6,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,13,"lower bound",13,6188],[6,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,83,"lower bound",83,38675],[6,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,149,"lower bound",149,62832],[6,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,181,"lower bound",181,74256],[6,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,80,"lower bound",80,33320],[6,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,82,"lower bound",82,35700],[6,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,36,"lower bound",36,129948],[6,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,12,"lower bound",12,65637],[6,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,57,"lower bound",57,209440],[6,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,68,"lower bound",68,194480],[6,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,34,"lower bound",34,123760],[6,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,34,"lower bound",34,148512],[6,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,36,"lower bound",36,145860],[6,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,101,"lower bound",101,353600],[6,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,45,"lower bound",45,155584],[6,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,45,"lower bound",45,134640],[6,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,101,"lower bound",101,333200],[6,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,57,"lower bound",57,205632],[6,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,12,"lower bound",12,48620],[6,17,"t","(4,3,2,2,2,1,1,1,1)",583440,10,"lower bound",10,583440],[6,17,"t","(3,3,3,2,2,1,1,1,1)",247520,3,"lower bound",3,247520],[6,17,"t","(4,4,2,2,1,1,1,1,1)",556920,9,"lower bound",9,556920],[6,17,"t","(4,2,2,2,2,2,1,1,1)",170170,3,"lower bound",3,170170],[6,17,"t","(5,4,2,1,1,1,1,1,1)",749700,11,"lower bound",11,749700],[6,17,"t","(5,2,2,2,2,1,1,1,1)",327250,9,"lower bound",9,327250],[6,17,"t","(7,3,1,1,1,1,1,1,1)",233376,1,"lower bound",1,233376],[6,17,"t","(7,2,2,1,1,1,1,1,1)",238238,3,"lower bound",3,238238],[6,17,"t","(5,5,1,1,1,1,1,1,1)",157080,2,"lower bound",2,157080],[6,17,"t","(6,4,1,1,1,1,1,1,1)",318240,3,"lower bound",3,318240],[6,17,"t","(5,3,2,2,1,1,1,1,1)",908820,18,"lower bound",18,908820],[6,17,"t","(4,3,3,2,1,1,1,1,1)",680680,11,"lower bound",11,680680],[6,17,"t","(3,3,3,3,1,1,1,1,1)",129948,2,"lower bound",2,129948],[6,17,"t","(5,3,3,1,1,1,1,1,1)",586432,9,"lower bound",9,586432],[6,17,"t","(6,3,2,1,1,1,1,1,1)",700128,10,"lower bound",10,700128],[6,17,"t","(6,2,2,2,1,1,1,1,1)",364650,9,"lower bound",9,364650],[6,17,"t","(3,3,2,2,2,2,1,1,1)",159120,1,"lower bound",1,159120],[6,17,"t","(4,4,3,1,1,1,1,1,1)",433160,6,"lower bound",6,433160],[6,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,1,"lower bound",1,7072],[6,18,"t","(18)",1,0,"exact",0,0],[6,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,10,"lower bound",10,13],[6,18,"t","(17,1)",17,0,"exact",0,0],[6,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,42,"lower bound",42,66],[6,18,"t","(16,2)",135,0,"exact",0,0],[6,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,43,"lower bound",43,67],[6,18,"t","(16,1,1)",136,0,"exact",0,0],[6,18,"t","(15,3)",663,0,"exact",0,0],[6,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,104,"lower bound",104,203],[6,18,"t","(15,1,1,1)",680,0,"exact",0,0],[6,18,"t","(15,2,1)",1344,0,"exact",0,0],[6,18,"t","(14,4)",2244,0,"exact",0,0],[6,18,"t","(14,1,1,1,1)",2380,0,"exact",0,0],[6,18,"t","(14,2,2)",4641,0,"exact",0,0],[6,18,"t","(9,9)",4862,0,"exact",0,0],[6,18,"t","(13,5)",5508,0,"exact",0,0],[6,18,"t","(13,1,1,1,1,1)",6188,0,"exact",0,0],[6,18,"t","(14,3,1)",6885,0,"exact",0,0],[6,18,"t","(14,2,1,1)",7020,0,"exact",0,0],[6,18,"t","(12,6)",9996,0,"exact",0,0],[6,18,"t","(10,8)",11934,0,"exact",0,0],[6,18,"t","(12,1,1,1,1,1,1)",12376,103,"upper bound",0,103],[6,18,"t","(11,7)",13260,0,"exact",0,0],[6,18,"t","(11,1,1,1,1,1,1,1)",19448,0,"exact",0,0],[6,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,98,"lower bound",98,663],[6,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,138,"lower bound",138,2244],[6,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,118,"lower bound",118,5508],[6,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,58,"lower bound",58,9996],[6,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,201,"lower bound",201,1344],[6,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,426,"lower bound",426,6885],[6,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,494,"lower bound",494,22848],[6,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,319,"lower bound",319,53040],[6,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,286,"lower bound",286,4641],[6,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,622,"lower bound",622,29172],[6,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,586,"lower bound",586,99144],[6,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,325,"lower bound",325,56100],[6,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,439,"lower bound",439,7020],[6,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,765,"lower bound",765,35343],[6,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,676,"lower bound",676,111384],[6,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,635,"lower bound",635,29835],[6,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,1068,"lower bound",1068,182784],[6,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,331,"lower bound",331,58344],[6,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,151,"lower bound",151,2380],[6,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,520,"lower bound",520,24192],[6,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,688,"lower bound",688,116025],[6,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,604,"lower bound",604,106029],[6,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,131,"lower bound",131,6188],[6,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,337,"lower bound",337,60060],[6,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,64,"lower bound",64,12376],[6,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,15,"lower bound",15,19448],[6,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,703,"lower bound",703,583440],[6,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,708,"lower bound",708,612612],[6,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,428,"lower bound",428,339456],[6,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,105,"lower bound",105,88128],[6,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,109,"lower bound",109,112320],[6,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,263,"lower bound",263,219912],[6,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,14,"lower bound",14,13260],[6,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,309,"lower bound",309,268515],[6,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,271,"lower bound",271,251328],[6,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,267,"lower bound",267,228480],[6,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,414,"lower bound",414,363528],[6,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,269,"lower bound",269,255255],[6,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,304,"lower bound",304,238680],[6,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,413,"lower bound",413,358020],[6,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,60,"lower bound",60,459459],[6,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,120,"lower bound",120,848232],[6,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,13,"lower bound",13,102102],[6,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,73,"lower bound",73,612612],[6,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,190,"lower bound",190,1175040],[6,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,38,"lower bound",38,259896],[6,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,122,"lower bound",122,656370],[6,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,288,"lower bound",288,1790100],[6,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,122,"lower bound",122,714714],[6,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,73,"lower bound",73,501228],[6,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,167,"lower bound",167,1099560],[6,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,190,"lower bound",190,1357824],[6,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,47,"lower bound",47,447525],[6,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,167,"lower bound",167,1145664],[6,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,205,"lower bound",205,1458600],[6,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,60,"lower bound",60,353430],[6,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,38,"lower bound",38,302940],[6,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,205,"lower bound",205,1349460],[6,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,47,"lower bound",47,331500],[6,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,13,"lower bound",13,162162],[6,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,24,"lower bound",24,2625480],[6,18,"t","(4,2,2,2,2,2,2,1,1)",340340,3,"lower bound",3,340340],[6,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,1,"lower bound",1,11934],[6,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,26,"lower bound",26,3198720],[6,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,19,"lower bound",19,2333760],[6,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,13,"lower bound",13,1649340],[6,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,37,"lower bound",37,3544398],[6,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,14,"lower bound",14,2144142],[6,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,26,"lower bound",26,2970240],[6,18,"t","(4,4,4,1,1,1,1,1,1)",779688,6,"lower bound",6,779688],[6,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,37,"lower bound",37,3180870],[6,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,18,"lower bound",18,1215500],[6,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,1,"lower bound",1,24310],[6,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,13,"lower bound",13,1429428],[6,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,4,"lower bound",4,1018368],[6,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,14,"lower bound",14,1531530],[6,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,38,"lower bound",38,3877632],[6,18,"t","(6,5,1,1,1,1,1,1,1)",875160,5,"lower bound",5,875160],[6,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,24,"lower bound",24,3222180],[6,18,"t","(8,2,2,1,1,1,1,1,1)",595595,3,"lower bound",3,595595],[6,18,"t","(3,3,2,2,2,2,2,1,1)",322218,1,"lower bound",1,322218],[6,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,12,"lower bound",12,1089088],[6,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,19,"lower bound",19,1989000],[6,18,"t","(3,3,3,2,2,2,1,1,1)",678912,4,"lower bound",4,678912],[6,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,38,"lower bound",38,3965760],[6,18,"t","(8,3,1,1,1,1,1,1,1)",590733,1,"lower bound",1,590733],[6,18,"t","(5,2,2,2,2,2,1,1,1)",837760,12,"lower bound",12,837760],[6,18,"t","(3,3,3,3,2,1,1,1,1)",649740,5,"lower bound",5,649740],[6,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,11,"lower bound",11,15],[6,19,"t","(18,1)",18,0,"exact",0,0],[6,19,"t","(17,2)",152,0,"exact",0,0],[6,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,53,"lower bound",53,89],[6,19,"t","(17,1,1)",153,0,"exact",0,0],[6,19,"t","(16,3)",798,0,"exact",0,0],[6,19,"t","(16,1,1,1)",816,0,"exact",0,0],[6,19,"t","(16,2,1)",1615,0,"exact",0,0],[6,19,"t","(15,4)",2907,0,"exact",0,0],[6,19,"t","(15,1,1,1,1)",3060,0,"exact",0,0],[6,19,"t","(15,2,2)",5985,0,"exact",0,0],[6,19,"t","(14,5)",7752,0,"exact",0,0],[6,19,"t","(14,1,1,1,1,1)",8568,0,"exact",0,0],[6,19,"t","(15,3,1)",8892,0,"exact",0,0],[6,19,"t","(15,2,1,1)",9044,0,"exact",0,0],[6,19,"t","(13,6)",15504,0,"exact",0,0],[6,19,"t","(10,9)",16796,0,"exact",0,0],[6,19,"t","(13,1,1,1,1,1,1)",18564,4740,"upper bound",0,4740],[6,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,19,"t","(19)",1,0,"exact",0,0],[6,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,12,"lower bound",12,17],[6,20,"t","(19,1)",19,0,"exact",0,0],[6,20,"t","(18,2)",170,0,"exact",0,0],[6,20,"t","(18,1,1)",171,0,"exact",0,0],[6,20,"t","(17,3)",950,0,"exact",0,0],[6,20,"t","(17,1,1,1)",969,0,"exact",0,0],[6,20,"t","(17,2,1)",1920,0,"exact",0,0],[6,20,"t","(16,4)",3705,0,"exact",0,0],[6,20,"t","(16,1,1,1,1)",3876,0,"exact",0,0],[6,20,"t","(16,2,2)",7600,2992,"upper bound",0,2992],[6,20,"t","(15,5)",10659,6051,"upper bound",0,6051],[6,20,"t","(16,3,1)",11305,6697,"upper bound",0,6697],[6,20,"t","(16,2,1,1)",11475,6867,"upper bound",0,6867],[6,20,"t","(15,1,1,1,1,1)",11628,7020,"upper bound",0,7020],[6,20,"t","(10,10)",16796,12188,"upper bound",0,12188],[6,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,20,"t","(20)",1,0,"exact",0,0],[6,21,"t","(20,1)",20,0,"exact",0,0],[6,21,"t","(19,2)",189,0,"exact",0,0],[6,21,"t","(19,1,1)",190,0,"exact",0,0],[6,21,"t","(18,3)",1120,0,"exact",0,0],[6,21,"t","(18,1,1,1)",1140,0,"exact",0,0],[6,21,"t","(18,2,1)",2261,0,"exact",0,0],[6,21,"t","(17,4)",4655,47,"upper bound",0,47],[6,21,"t","(17,1,1,1,1)",4845,237,"upper bound",0,237],[6,21,"t","(17,2,2)",9520,4912,"upper bound",0,4912],[6,21,"t","(17,3,1)",14175,9567,"upper bound",0,9567],[6,21,"t","(16,5)",14364,9756,"upper bound",0,9756],[6,21,"t","(17,2,1,1)",14364,9756,"upper bound",0,9756],[6,21,"t","(16,1,1,1,1,1)",15504,10896,"upper bound",0,10896],[6,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,21,"t","(21)",1,0,"exact",0,0],[6,22,"t","(21,1)",21,0,"exact",0,0],[6,22,"t","(20,2)",209,0,"exact",0,0],[6,22,"t","(20,1,1)",210,0,"exact",0,0],[6,22,"t","(19,3)",1309,0,"exact",0,0],[6,22,"t","(19,1,1,1)",1330,0,"exact",0,0],[6,22,"t","(19,2,1)",2640,0,"exact",0,0],[6,22,"t","(18,4)",5775,1167,"upper bound",0,1167],[6,22,"t","(18,1,1,1,1)",5985,1377,"upper bound",0,1377],[6,22,"t","(18,2,2)",11781,7173,"upper bound",0,7173],[6,22,"t","(18,3,1)",17556,12948,"upper bound",0,12948],[6,22,"t","(18,2,1,1)",17765,13157,"upper bound",0,13157],[6,22,"t","(17,5)",19019,14411,"upper bound",0,14411],[6,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,22,"t","(22)",1,0,"exact",0,0],[6,23,"t","(22,1)",22,0,"exact",0,0],[6,23,"t","(21,2)",230,0,"exact",0,0],[6,23,"t","(21,1,1)",231,0,"exact",0,0],[6,23,"t","(20,3)",1518,0,"exact",0,0],[6,23,"t","(20,1,1,1)",1540,0,"exact",0,0],[6,23,"t","(20,2,1)",3059,0,"exact",0,0],[6,23,"t","(19,4)",7084,2476,"upper bound",0,2476],[6,23,"t","(19,1,1,1,1)",7315,2707,"upper bound",0,2707],[6,23,"t","(19,2,2)",14421,9813,"upper bound",0,9813],[6,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,23,"t","(23)",1,0,"exact",0,0],[6,24,"t","(23,1)",23,0,"exact",0,0],[6,24,"t","(22,2)",252,0,"exact",0,0],[6,24,"t","(22,1,1)",253,0,"exact",0,0],[6,24,"t","(21,3)",1748,0,"exact",0,0],[6,24,"t","(21,1,1,1)",1771,0,"exact",0,0],[6,24,"t","(21,2,1)",3520,0,"exact",0,0],[6,24,"t","(20,4)",8602,3994,"upper bound",0,3994],[6,24,"t","(20,1,1,1,1)",8855,4247,"upper bound",0,4247],[6,24,"t","(20,2,2)",17480,12872,"upper bound",0,12872],[6,24,"t","(24)",1,0,"exact",0,0],[6,25,"t","(24,1)",24,0,"exact",0,0],[6,25,"t","(23,2)",275,0,"exact",0,0],[6,25,"t","(23,1,1)",276,0,"exact",0,0],[6,25,"t","(22,3)",2000,0,"exact",0,0],[6,25,"t","(22,1,1,1)",2024,0,"exact",0,0],[6,25,"t","(22,2,1)",4025,0,"exact",0,0],[6,25,"t","(21,4)",10350,5742,"upper bound",0,5742],[6,25,"t","(21,1,1,1,1)",10626,6018,"upper bound",0,6018],[6,25,"t","(25)",1,0,"exact",0,0],[6,26,"t","(25,1)",25,0,"exact",0,0],[6,26,"t","(24,2)",299,0,"exact",0,0],[6,26,"t","(24,1,1)",300,0,"exact",0,0],[6,26,"t","(23,3)",2275,0,"exact",0,0],[6,26,"t","(23,1,1,1)",2300,0,"exact",0,0],[6,26,"t","(23,2,1)",4576,195,"upper bound",0,195],[6,26,"t","(22,4)",12350,7742,"upper bound",0,7742],[6,26,"t","(22,1,1,1,1)",12650,8042,"upper 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5,145],[6,12,"u","(4,3,2,1,1,1)",5632,160,"exact",160,160],[6,12,"u","(4,3,1,1,1,1,1)",2079,75,"exact",75,75],[6,12,"u","(4,2,2,2,2)",1485,45,"exact",45,45],[6,12,"u","(4,2,2,2,1,1)",3080,100,"exact",100,100],[6,12,"u","(4,2,2,1,1,1,1)",2376,90,"exact",90,90],[6,12,"u","(4,2,1,1,1,1,1,1)",945,45,"exact",45,45],[6,12,"u","(4,1,1,1,1,1,1,1,1)",165,10,"exact",10,10],[6,12,"u","(3,3,3,3)",462,16,"exact",16,16],[6,12,"u","(3,3,3,2,1)",2112,80,"exact",80,80],[6,12,"u","(3,3,3,1,1,1)",1650,70,"exact",70,70],[6,12,"u","(3,3,2,2,2)",1320,60,"exact",60,60],[6,12,"u","(3,3,2,2,1,1)",2673,135,"exact",135,135],[6,12,"u","(3,3,2,1,1,1,1)",1925,115,"exact",115,115],[6,12,"u","(3,3,1,1,1,1,1,1)",616,50,"exact",50,50],[6,12,"u","(3,2,2,2,2,1)",1155,75,"exact",75,75],[6,12,"u","(3,2,2,2,1,1,1)",1408,104,"exact",104,104],[6,12,"u","(3,2,2,1,1,1,1,1)",891,81,"exact",81,81],[6,12,"u","(3,2,1,1,1,1,1,1,1)",320,40,"exact",40,40],[6,12,"u","(3,1,1,1,1,1,1,1,1,1)",55,10,"exact",10,10],[6,12,"u","(2,2,2,2,2,2)",132,15,"exact",15,15],[6,12,"u","(2,2,2,2,2,1,1)",297,36,"exact",36,36],[6,12,"u","(2,2,2,2,1,1,1,1)",275,40,"exact",40,40],[6,12,"u","(2,2,2,1,1,1,1,1,1)",154,29,"exact",29,29],[6,12,"u","(2,2,1,1,1,1,1,1,1,1)",54,15,"exact",15,15],[6,12,"u","(2,1,1,1,1,1,1,1,1,1,1)",11,5,"exact",5,5],[6,12,"u","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,13,"u","(13)",1,0,"exact",0,0],[6,13,"u","(12,1)",12,0,"exact",0,0],[6,13,"u","(11,2)",65,0,"exact",0,0],[6,13,"u","(11,1,1)",66,0,"exact",0,0],[6,13,"u","(10,3)",208,0,"exact",0,0],[6,13,"u","(10,2,1)",429,0,"exact",0,0],[6,13,"u","(10,1,1,1)",220,0,"exact",0,0],[6,13,"u","(9,4)",429,0,"exact",0,0],[6,13,"u","(9,3,1)",1365,0,"exact",0,0],[6,13,"u","(9,2,2)",936,0,"exact",0,0],[6,13,"u","(9,2,1,1)",1430,0,"exact",0,0],[6,13,"u","(9,1,1,1,1)",495,0,"exact",0,0],[6,13,"u","(8,5)",572,0,"exact",0,0],[6,13,"u","(8,4,1)",2574,0,"exact",0,0],[6,13,"u","(8,3,2)",3432,0,"exact",0,0],[6,13,"u","(8,3,1,1)",4212,0,"exact",0,0],[6,13,"u","(8,2,2,1)",3640,0,"exact",0,0],[6,13,"u","(8,2,1,1,1)",3003,0,"exact",0,0],[6,13,"u","(8,1,1,1,1,1)",792,0,"exact",0,0],[6,13,"u","(7,6)",429,7,"exact",7,7],[6,13,"u","(7,5,1)",2860,35,"exact",35,35],[6,13,"u","(7,4,2)",6006,63,"exact",63,63],[6,13,"u","(7,4,1,1)",6864,70,"exact",70,70],[6,13,"u","(7,3,3)",3575,35,"exact",35,35],[6,13,"u","(7,3,2,1)",12012,112,"exact",112,112],[6,13,"u","(7,3,1,1,1)",7800,70,"exact",70,70],[6,13,"u","(7,2,2,2)",4004,35,"exact",35,35],[6,13,"u","(7,2,2,1,1)",7371,63,"exact",63,63],[6,13,"u","(7,2,1,1,1,1)",4290,35,"exact",35,35],[6,13,"u","(7,1,1,1,1,1,1)",924,7,"exact",7,7],[6,13,"u","(6,6,1)",1287,36,"exact",36,36],[6,13,"u","(6,5,2)",5148,144,"exact",144,144],[6,13,"u","(6,5,1,1)",5720,180,"exact",180,180],[6,13,"u","(6,4,3)",6435,180,"exact",180,180],[6,13,"u","(6,4,2,1)",17160,540,"exact",540,540],[6,13,"u","(6,4,1,1,1)",10296,360,"exact",360,360],[6,13,"u","(6,3,3,1)",11440,360,"exact",360,360],[6,13,"u","(6,3,2,2)",12012,396,"exact",396,396],[6,13,"u","(6,3,2,1,1)",20592,720,"exact",720,720],[6,13,"u","(6,3,1,1,1,1)",9360,360,"exact",360,360],[6,13,"u","(6,2,2,2,1)",9009,324,"exact",324,324],[6,13,"u","(6,2,2,1,1,1)",9360,360,"exact",360,360],[6,13,"u","(6,2,1,1,1,1,1)",4290,180,"exact",180,180],[6,13,"u","(6,1,1,1,1,1,1,1)",792,36,"exact",36,36],[6,13,"u","(5,5,3)",3432,146,"exact",146,146],[6,13,"u","(5,5,2,1)",8580,440,"exact",440,440],[6,13,"u","(5,5,1,1,1)",5005,295,"exact",295,295],[6,13,"u","(5,4,4)",2574,117,"exact",117,117],[6,13,"u","(5,4,3,1)",15015,845,"exact",845,845],[6,13,"u","(5,4,2,2)",12870,810,"exact",810,810],[6,13,"u","(5,4,2,1,1)",21450,1440,"exact",1440,1440],[6,13,"u","(5,4,1,1,1,1)",9009,705,"exact",705,705],[6,13,"u","(5,3,3,2)",11583,774,"exact",774,774],[6,13,"u","(5,3,3,1,1)",16016,1138,"exact",1138,1138],[6,13,"u","(5,3,2,2,1)",21450,1665,"exact",1665,1665],[6,13,"u","(5,3,2,1,1,1)",20592,1752,"exact",1752,1752],[6,13,"u","(5,3,1,1,1,1,1)",7371,738,"exact",738,738],[6,13,"u","(5,2,2,2,2)",5005,445,"exact",445,445],[6,13,"u","(5,2,2,2,1,1)",10296,966,"exact",966,966],[6,13,"u","(5,2,2,1,1,1,1)",7800,820,"exact",820,820],[6,13,"u","(5,2,1,1,1,1,1,1)",3003,374,"exact",374,374],[6,13,"u","(5,1,1,1,1,1,1,1,1)",495,75,"exact",75,75],[6,13,"u","(4,4,4,1)",3432,260,"exact",260,260],[6,13,"u","(4,4,3,2)",8580,785,"exact",785,785],[6,13,"u","(4,4,3,1,1)",11583,1125,"exact",1125,1125],[6,13,"u","(4,4,2,2,1)",12870,1395,"exact",1395,1395],[6,13,"u","(4,4,2,1,1,1)",12012,1440,"exact",1440,1440],[6,13,"u","(4,4,1,1,1,1,1)",4004,575,"exact",575,575],[6,13,"u","(4,3,3,3)",3432,376,"exact",376,376],[6,13,"u","(4,3,3,2,1)",15015,1815,"exact",1815,1815],[6,13,"u","(4,3,3,1,1,1)",11440,1520,"exact",1520,1520],[6,13,"u","(4,3,2,2,2)",8580,1180,"exact",1180,1180],[6,13,"u","(4,3,2,2,1,1)",17160,2520,"exact",2520,2520],[6,13,"u","(4,3,2,1,1,1,1)",12012,2000,"exact",2000,2000],[6,13,"u","(4,3,1,1,1,1,1,1)",3640,740,"exact",740,740],[6,13,"u","(4,2,2,2,2,1)",5720,1000,"exact",1000,1000],[6,13,"u","(4,2,2,2,1,1,1)",6864,1314,"exact",1314,1314],[6,13,"u","(4,2,2,1,1,1,1,1)",4212,936,"exact",936,936],[6,13,"u","(4,2,1,1,1,1,1,1,1)",1430,395,"exact",395,395],[6,13,"u","(4,1,1,1,1,1,1,1,1,1)",220,80,"exact",80,80],[6,13,"u","(3,3,3,3,1)",2574,432,"exact",432,432],[6,13,"u","(3,3,3,2,2)",3432,620,"exact",620,620],[6,13,"u","(3,3,3,2,1,1)",6435,1245,"exact",1245,1245],[6,13,"u","(3,3,3,1,1,1,1)",3575,785,"exact",785,785],[6,13,"u","(3,3,2,2,2,1)",5148,1140,"exact",1140,1140],[6,13,"u","(3,3,2,2,1,1,1)",6006,1458,"exact",1458,1458],[6,13,"u","(3,3,2,1,1,1,1,1)",3432,972,"exact",972,972],[6,13,"u","(3,3,1,1,1,1,1,1,1)",936,330,"exact",330,330],[6,13,"u","(3,2,2,2,2,2)",1287,360,"exact",360,360],[6,13,"u","(3,2,2,2,2,1,1)",2860,845,"exact",845,845],[6,13,"u","(3,2,2,2,1,1,1,1)",2574,855,"exact",855,855],[6,13,"u","(3,2,2,1,1,1,1,1,1)",1365,540,"exact",540,540],[6,13,"u","(3,2,1,1,1,1,1,1,1,1)",429,215,"exact",215,215],[6,13,"u","(3,1,1,1,1,1,1,1,1,1,1)",66,45,"exact",45,45],[6,13,"u","(2,2,2,2,2,2,1)",429,177,"exact",177,177],[6,13,"u","(2,2,2,2,2,1,1,1)",572,256,"exact",256,256],[6,13,"u","(2,2,2,2,1,1,1,1,1)",429,219,"exact",219,219],[6,13,"u","(2,2,2,1,1,1,1,1,1,1)",208,128,"exact",128,128],[6,13,"u","(2,2,1,1,1,1,1,1,1,1,1)",65,50,"exact",50,50],[6,13,"u","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[6,13,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,14,"u","(14)",1,0,"exact",0,0],[6,14,"u","(13,1)",13,0,"exact",0,0],[6,14,"u","(12,2)",77,0,"exact",0,0],[6,14,"u","(12,1,1)",78,0,"exact",0,0],[6,14,"u","(11,3)",273,0,"exact",0,0],[6,14,"u","(11,2,1)",560,0,"exact",0,0],[6,14,"u","(11,1,1,1)",286,0,"exact",0,0],[6,14,"u","(10,4)",637,0,"exact",0,0],[6,14,"u","(10,3,1)",2002,0,"exact",0,0],[6,14,"u","(10,2,2)",1365,0,"exact",0,0],[6,14,"u","(10,2,1,1)",2079,0,"exact",0,0],[6,14,"u","(10,1,1,1,1)",715,0,"exact",0,0],[6,14,"u","(9,5)",1001,0,"exact",0,0],[6,14,"u","(9,4,1)",4368,0,"exact",0,0],[6,14,"u","(9,3,2)",5733,0,"exact",0,0],[6,14,"u","(9,3,1,1)",7007,0,"exact",0,0],[6,14,"u","(9,2,2,1)",6006,0,"exact",0,0],[6,14,"u","(9,2,1,1,1)",4928,0,"exact",0,0],[6,14,"u","(9,1,1,1,1,1)",1287,0,"exact",0,0],[6,14,"u","(8,6)",1001,28,"exact",28,28],[6,14,"u","(8,5,1)",6006,140,"exact",140,140],[6,14,"u","(8,4,2)",12012,252,"exact",252,252],[6,14,"u","(8,4,1,1)",13650,280,"exact",280,280],[6,14,"u","(8,3,3)",7007,140,"exact",140,140],[6,14,"u","(8,3,2,1)",23296,448,"exact",448,448],[6,14,"u","(8,3,1,1,1)",15015,280,"exact",280,280],[6,14,"u","(8,2,2,2)",7644,140,"exact",140,140],[6,14,"u","(8,2,2,1,1)",14014,252,"exact",252,252],[6,14,"u","(8,2,1,1,1,1)",8085,140,"exact",140,140],[6,14,"u","(8,1,1,1,1,1,1)",1716,28,"exact",28,28],[6,14,"u","(7,7)",429,22,"exact",22,22],[6,14,"u","(7,6,1)",4576,258,"exact",258,258],[6,14,"u","(7,5,2)",14014,812,"exact",812,812],[6,14,"u","(7,5,1,1)",15444,960,"exact",960,960],[6,14,"u","(7,4,3)",16016,938,"exact",938,938],[6,14,"u","(7,4,2,1)",42042,2660,"exact",2660,2660],[6,14,"u","(7,4,1,1,1)",24960,1700,"exact",1700,1700],[6,14,"u","(7,3,3,1)",27027,1722,"exact",1722,1722],[6,14,"u","(7,3,2,2)",28028,1848,"exact",1848,1848],[6,14,"u","(7,3,2,1,1)",47775,3290,"exact",3290,3290],[6,14,"u","(7,3,1,1,1,1)",21450,1590,"exact",1590,1590],[6,14,"u","(7,2,2,2,1)",20384,1442,"exact",1442,1442],[6,14,"u","(7,2,2,1,1,1)",21021,1568,"exact",1568,1568],[6,14,"u","(7,2,1,1,1,1,1)",9504,762,"exact",762,762],[6,14,"u","(7,1,1,1,1,1,1,1)",1716,148,"exact",148,148],[6,14,"u","(6,6,2)",6435,555,"exact",555,555],[6,14,"u","(6,6,1,1)",7007,651,"exact",651,651],[6,14,"u","(6,5,3)",15015,1445,"exact",1445,1445],[6,14,"u","(6,5,2,1)",36608,3944,"exact",3944,3944],[6,14,"u","(6,5,1,1,1)",21021,2485,"exact",2485,2485],[6,14,"u","(6,4,4)",9009,912,"exact",912,912],[6,14,"u","(6,4,3,1)",50050,5825,"exact",5825,5825],[6,14,"u","(6,4,2,2)",42042,5256,"exact",5256,5256],[6,14,"u","(6,4,2,1,1)",69498,9135,"exact",9135,9135],[6,14,"u","(6,4,1,1,1,1)",28665,4200,"exact",4200,4200],[6,14,"u","(6,3,3,2)",35035,4605,"exact",4605,4605],[6,14,"u","(6,3,3,1,1)",48048,6628,"exact",6628,6628],[6,14,"u","(6,3,2,2,1)",63063,9255,"exact",9255,9255],[6,14,"u","(6,3,2,1,1,1)",59904,9432,"exact",9432,9432],[6,14,"u","(6,3,1,1,1,1,1)",21021,3738,"exact",3738,3738],[6,14,"u","(6,2,2,2,2)",14014,2284,"exact",2284,2284],[6,14,"u","(6,2,2,2,1,1)",28665,4875,"exact",4875,4875],[6,14,"u","(6,2,2,1,1,1,1)",21450,3985,"exact",3985,3985],[6,14,"u","(6,2,1,1,1,1,1,1)",8085,1715,"exact",1715,1715],[6,14,"u","(6,1,1,1,1,1,1,1,1)",1287,321,"exact",321,321],[6,14,"u","(5,5,4)",6006,773,"exact",773,773],[6,14,"u","(5,5,3,1)",27027,4086,"exact",4086,4086],[6,14,"u","(5,5,2,2)",21450,3500,"exact",3500,3500],[6,14,"u","(5,5,2,1,1)",35035,6030,"exact",6030,6030],[6,14,"u","(5,5,1,1,1,1)",14014,2695,"exact",2695,2695],[6,14,"u","(5,4,4,1)",21021,3463,"exact",3463,3463],[6,14,"u","(5,4,3,2)",48048,8914,"exact",8914,8914],[6,14,"u","(5,4,3,1,1)",64064,12492,"exact",12492,12492],[6,14,"u","(5,4,2,2,1)",68640,14370,"exact",14370,14370],[6,14,"u","(5,4,2,1,1,1)",63063,14223,"exact",14223,14223],[6,14,"u","(5,4,1,1,1,1,1)",20384,5222,"exact",5222,5222],[6,14,"u","(5,3,3,3)",15015,3145,"exact",3145,3145],[6,14,"u","(5,3,3,2,1)",64064,14512,"exact",14512,14512],[6,14,"u","(5,3,3,1,1,1)",48048,11700,"exact",11700,11700],[6,14,"u","(5,3,2,2,2)",35035,8705,"exact",8705,8705],[6,14,"u","(5,3,2,2,1,1)",69498,18108,"exact",18108,18108],[6,14,"u","(5,3,2,1,1,1,1)",47775,13665,"exact",13665,13665],[6,14,"u","(5,3,1,1,1,1,1,1)",14014,4627,"exact",4627,4627],[6,14,"u","(5,2,2,2,2,1)",21021,6221,"exact",6221,6221],[6,14,"u","(5,2,2,2,1,1,1)",24960,7900,"exact",7900,7900],[6,14,"u","(5,2,2,1,1,1,1,1)",15015,5310,"exact",5310,5310],[6,14,"u","(5,2,1,1,1,1,1,1,1)",4928,2044,"exact",2044,2044],[6,14,"u","(5,1,1,1,1,1,1,1,1,1)",715,365,"exact",365,365],[6,14,"u","(4,4,4,2)",12012,2770,"exact",2770,2770],[6,14,"u","(4,4,4,1,1)",15015,3635,"exact",3635,3635],[6,14,"u","(4,4,3,3)",12012,3006,"exact",3006,3006],[6,14,"u","(4,4,3,2,1)",48048,13040,"exact",13040,13040],[6,14,"u","(4,4,3,1,1,1)",35035,10235,"exact",10235,10235],[6,14,"u","(4,4,2,2,2)",21450,6400,"exact",6400,6400],[6,14,"u","(4,4,2,2,1,1)",42042,13140,"exact",13140,13140],[6,14,"u","(4,4,2,1,1,1,1)",28028,9610,"exact",9610,9610],[6,14,"u","(4,4,1,1,1,1,1,1)",7644,3010,"exact",3010,3010],[6,14,"u","(4,3,3,3,1)",21021,6493,"exact",6493,6493],[6,14,"u","(4,3,3,2,2)",27027,8835,"exact",8835,8835],[6,14,"u","(4,3,3,2,1,1)",50050,17150,"exact",17150,17150],[6,14,"u","(4,3,3,1,1,1,1)",27027,10155,"exact",10155,10155],[6,14,"u","(4,3,2,2,2,1)",36608,13760,"exact",13760,13760],[6,14,"u","(4,3,2,2,1,1,1)",42042,16862,"exact",16862,16862],[6,14,"u","(4,3,2,1,1,1,1,1)",23296,10408,"exact",10408,10408],[6,14,"u","(4,3,1,1,1,1,1,1,1)",6006,3115,"exact",3115,3115],[6,14,"u","(4,2,2,2,2,2)",7007,3085,"exact",3085,3085],[6,14,"u","(4,2,2,2,2,1,1)",15444,7074,"exact",7074,7074],[6,14,"u","(4,2,2,2,1,1,1,1)",13650,6780,"exact",6780,6780],[6,14,"u","(4,2,2,1,1,1,1,1,1)",7007,3926,"exact",3926,3926],[6,14,"u","(4,2,1,1,1,1,1,1,1,1)",2079,1365,"exact",1365,1365],[6,14,"u","(4,1,1,1,1,1,1,1,1,1,1)",286,230,"exact",230,230],[6,14,"u","(3,3,3,3,2)",6006,2408,"exact",2408,2408],[6,14,"u","(3,3,3,3,1,1)",9009,3777,"exact",3777,3777],[6,14,"u","(3,3,3,2,2,1)",15015,6665,"exact",6665,6665],[6,14,"u","(3,3,3,2,1,1,1)",16016,7568,"exact",7568,7568],[6,14,"u","(3,3,3,1,1,1,1,1)",7007,3677,"exact",3677,3677],[6,14,"u","(3,3,2,2,2,2)",6435,3195,"exact",3195,3195],[6,14,"u","(3,3,2,2,2,1,1)",14014,7232,"exact",7232,7232],[6,14,"u","(3,3,2,2,1,1,1,1)",12012,6690,"exact",6690,6690],[6,14,"u","(3,3,2,1,1,1,1,1,1)",5733,3573,"exact",3573,3573],[6,14,"u","(3,3,1,1,1,1,1,1,1,1)",1365,980,"exact",980,980],[6,14,"u","(3,2,2,2,2,2,1)",4576,2738,"exact",2738,2738],[6,14,"u","(3,2,2,2,2,1,1,1)",6006,3786,"exact",3786,3786],[6,14,"u","(3,2,2,2,1,1,1,1,1)",4368,2994,"exact",2994,2994],[6,14,"u","(3,2,2,1,1,1,1,1,1,1)",2002,1537,"exact",1537,1537],[6,14,"u","(3,2,1,1,1,1,1,1,1,1,1)",560,490,"exact",490,490],[6,14,"u","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[6,14,"u","(2,2,2,2,2,2,2)",429,312,"exact",312,312],[6,14,"u","(2,2,2,2,2,2,1,1)",1001,748,"exact",748,748],[6,14,"u","(2,2,2,2,2,1,1,1,1)",1001,790,"exact",790,790],[6,14,"u","(2,2,2,2,1,1,1,1,1,1)",637,542,"exact",542,542],[6,14,"u","(2,2,2,1,1,1,1,1,1,1,1)",273,253,"exact",253,253],[6,14,"u","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[6,14,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[6,14,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,15,"u","(15)",1,0,"exact",0,0],[6,15,"u","(14,1)",14,0,"exact",0,0],[6,15,"u","(13,2)",90,0,"exact",0,0],[6,15,"u","(13,1,1)",91,0,"exact",0,0],[6,15,"u","(12,3)",350,0,"exact",0,0],[6,15,"u","(12,2,1)",715,0,"exact",0,0],[6,15,"u","(12,1,1,1)",364,0,"exact",0,0],[6,15,"u","(11,4)",910,0,"exact",0,0],[6,15,"u","(11,3,1)",2835,0,"exact",0,0],[6,15,"u","(11,2,2)",1925,0,"exact",0,0],[6,15,"u","(11,2,1,1)",2925,0,"exact",0,0],[6,15,"u","(11,1,1,1,1)",1001,0,"exact",0,0],[6,15,"u","(10,5)",1638,0,"exact",0,0],[6,15,"u","(10,4,1)",7007,0,"exact",0,0],[6,15,"u","(10,3,2)",9100,0,"exact",0,0],[6,15,"u","(10,3,1,1)",11088,0,"exact",0,0],[6,15,"u","(10,2,2,1)",9450,0,"exact",0,0],[6,15,"u","(10,2,1,1,1)",7722,0,"exact",0,0],[6,15,"u","(10,1,1,1,1,1)",2002,0,"exact",0,0],[6,15,"u","(9,6)",2002,84,"exact",84,84],[6,15,"u","(9,5,1)",11375,420,"exact",420,420],[6,15,"u","(9,4,2)",22113,756,"exact",756,756],[6,15,"u","(9,4,1,1)",25025,840,"exact",840,840],[6,15,"u","(9,3,3)",12740,420,"exact",420,420],[6,15,"u","(9,3,2,1)",42042,1344,"exact",1344,1344],[6,15,"u","(9,3,1,1,1)",26950,840,"exact",840,840],[6,15,"u","(9,2,2,2)",13650,420,"exact",420,420],[6,15,"u","(9,2,2,1,1)",24948,756,"exact",756,756],[6,15,"u","(9,2,1,1,1,1)",14300,420,"exact",420,420],[6,15,"u","(9,1,1,1,1,1,1)",3003,84,"exact",84,84],[6,15,"u","(8,7)",1430,120,"exact",120,120],[6,15,"u","(8,6,1)",11583,1056,"exact",1056,1056],[6,15,"u","(8,5,2)",32032,3024,"exact",3024,3024],[6,15,"u","(8,5,1,1)",35100,3480,"exact",3480,3480],[6,15,"u","(8,4,3)",35035,3360,"exact",3360,3360],[6,15,"u","(8,4,2,1)",91000,9240,"exact",9240,9240],[6,15,"u","(8,4,1,1,1)",53625,5760,"exact",5760,5760],[6,15,"u","(8,3,3,1)",57330,5880,"exact",5880,5880],[6,15,"u","(8,3,2,2)",58968,6216,"exact",6216,6216],[6,15,"u","(8,3,2,1,1)",100100,10920,"exact",10920,10920],[6,15,"u","(8,3,1,1,1,1)",44550,5160,"exact",5160,5160],[6,15,"u","(8,2,2,2,1)",42042,4704,"exact",4704,4704],[6,15,"u","(8,2,2,1,1,1)",43120,5040,"exact",5040,5040],[6,15,"u","(8,2,1,1,1,1,1)",19305,2400,"exact",2400,2400],[6,15,"u","(8,1,1,1,1,1,1,1)",3432,456,"exact",456,456],[6,15,"u","(7,7,1)",5005,630,"exact",630,630],[6,15,"u","(7,6,2)",25025,3675,"exact",3675,3675],[6,15,"u","(7,6,1,1)",27027,4179,"exact",4179,4179],[6,15,"u","(7,5,3)",45045,7245,"exact",7245,7245],[6,15,"u","(7,5,2,1)",108108,18816,"exact",18816,18816],[6,15,"u","(7,5,1,1,1)",61425,11445,"exact",11445,11445],[6,15,"u","(7,4,4)",25025,4200,"exact",4200,4200],[6,15,"u","(7,4,3,1)",135135,25095,"exact",25095,25095],[6,15,"u","(7,4,2,2)",112112,21924,"exact",21924,21924],[6,15,"u","(7,4,2,1,1)",184275,37485,"exact",37485,37485],[6,15,"u","(7,4,1,1,1,1)",75075,16590,"exact",16590,16590],[6,15,"u","(7,3,3,2)",90090,18375,"exact",18375,18375],[6,15,"u","(7,3,3,1,1)",122850,26040,"exact",26040,26040],[6,15,"u","(7,3,2,2,1)",159250,35385,"exact",35385,35385],[6,15,"u","(7,3,2,1,1,1)",150150,35280,"exact",35280,35280],[6,15,"u","(7,3,1,1,1,1,1)",51975,13440,"exact",13440,13440],[6,15,"u","(7,2,2,2,2)",34398,8316,"exact",8316,8316],[6,15,"u","(7,2,2,2,1,1)",70070,17535,"exact",17535,17535],[6,15,"u","(7,2,2,1,1,1,1)",51975,13965,"exact",13965,13965],[6,15,"u","(7,2,1,1,1,1,1,1)",19305,5775,"exact",5775,5775],[6,15,"u","(7,1,1,1,1,1,1,1,1)",3003,1029,"exact",1029,1029],[6,15,"u","(6,6,3)",21450,4300,"exact",4300,4300],[6,15,"u","(6,6,2,1)",50050,10850,"exact",10850,10850],[6,15,"u","(6,6,1,1,1)",28028,6496,"exact",6496,6496],[6,15,"u","(6,5,4)",30030,6680,"exact",6680,6680],[6,15,"u","(6,5,3,1)",128700,31950,"exact",31950,31950],[6,15,"u","(6,5,2,2)",100100,26200,"exact",26200,26200],[6,15,"u","(6,5,2,1,1)",162162,44184,"exact",44184,44184],[6,15,"u","(6,5,1,1,1,1)",63700,18830,"exact",18830,18830],[6,15,"u","(6,4,4,1)",80080,21220,"exact",21220,21220],[6,15,"u","(6,4,3,2)",175175,50450,"exact",50450,50450],[6,15,"u","(6,4,3,1,1)",231660,69360,"exact",69360,69360],[6,15,"u","(6,4,2,2,1)",243243,76626,"exact",76626,76626],[6,15,"u","(6,4,2,1,1,1)",221130,73710,"exact",73710,73710],[6,15,"u","(6,4,1,1,1,1,1)",70070,25690,"exact",25690,25690],[6,15,"u","(6,3,3,3)",50050,15750,"exact",15750,15750],[6,15,"u","(6,3,3,2,1)",210210,70300,"exact",70300,70300],[6,15,"u","(6,3,3,1,1,1)",156000,55160,"exact",55160,55160],[6,15,"u","(6,3,2,2,2)",112112,40184,"exact",40184,40184],[6,15,"u","(6,3,2,2,1,1)",221130,82170,"exact",82170,82170],[6,15,"u","(6,3,2,1,1,1,1)",150150,59920,"exact",59920,59920],[6,15,"u","(6,3,1,1,1,1,1,1)",43120,19180,"exact",19180,19180],[6,15,"u","(6,2,2,2,2,1)",63700,26080,"exact",26080,26080],[6,15,"u","(6,2,2,2,1,1,1)",75075,32360,"exact",32360,32360],[6,15,"u","(6,2,2,1,1,1,1,1)",44550,20910,"exact",20910,20910],[6,15,"u","(6,2,1,1,1,1,1,1,1)",14300,7580,"exact",7580,7580],[6,15,"u","(6,1,1,1,1,1,1,1,1,1)",2002,1246,"exact",1246,1246],[6,15,"u","(5,5,5)",6006,1597,"exact",1597,1597],[6,15,"u","(5,5,4,1)",54054,16638,"exact",16638,16638],[6,15,"u","(5,5,3,2)",96525,32250,"exact",32250,32250],[6,15,"u","(5,5,3,1,1)",126126,43812,"exact",43812,43812],[6,15,"u","(5,5,2,2,1)",125125,45650,"exact",45650,45650],[6,15,"u","(5,5,2,1,1,1)",112112,43204,"exact",43204,43204],[6,15,"u","(5,5,1,1,1,1,1)",34398,14511,"exact",14511,14511],[6,15,"u","(5,4,4,2)",81081,29277,"exact",29277,29277],[6,15,"u","(5,4,4,1,1)",100100,37550,"exact",37550,37550],[6,15,"u","(5,4,3,3)",75075,28675,"exact",28675,28675],[6,15,"u","(5,4,3,2,1)",292864,118848,"exact",118848,118848],[6,15,"u","(5,4,3,1,1,1)",210210,90070,"exact",90070,90070],[6,15,"u","(5,4,2,2,2)",125125,54325,"exact",54325,54325],[6,15,"u","(5,4,2,2,1,1)",243243,109251,"exact",109251,109251],[6,15,"u","(5,4,2,1,1,1,1)",159250,76510,"exact",76510,76510],[6,15,"u","(5,4,1,1,1,1,1,1)",42042,22309,"exact",22309,22309],[6,15,"u","(5,3,3,3,1)",100100,44450,"exact",44450,44450],[6,15,"u","(5,3,3,2,2)",126126,58392,"exact",58392,58392],[6,15,"u","(5,3,3,2,1,1)",231660,110970,"exact",110970,110970],[6,15,"u","(5,3,3,1,1,1,1)",122850,62940,"exact",62940,62940],[6,15,"u","(5,3,2,2,2,1)",162162,82974,"exact",82974,82974],[6,15,"u","(5,3,2,2,1,1,1)",184275,98835,"exact",98835,98835],[6,15,"u","(5,3,2,1,1,1,1,1)",100100,58030,"exact",58030,58030],[6,15,"u","(5,3,1,1,1,1,1,1,1)",24948,16086,"exact",16086,16086],[6,15,"u","(5,2,2,2,2,2)",28028,16046,"exact",16046,16046],[6,15,"u","(5,2,2,2,2,1,1)",61425,36195,"exact",36195,36195],[6,15,"u","(5,2,2,2,1,1,1,1)",53625,33490,"exact",33490,33490],[6,15,"u","(5,2,2,1,1,1,1,1,1)",26950,18340,"exact",18340,18340],[6,15,"u","(5,2,1,1,1,1,1,1,1,1)",7722,5874,"exact",5874,5874],[6,15,"u","(5,1,1,1,1,1,1,1,1,1,1)",1001,875,"exact",875,875],[6,15,"u","(4,4,4,3)",24024,10532,"exact",10532,10532],[6,15,"u","(4,4,4,2,1)",75075,34945,"exact",34945,34945],[6,15,"u","(4,4,4,1,1,1)",50050,24570,"exact",24570,24570],[6,15,"u","(4,4,3,3,1)",81081,39783,"exact",39783,39783],[6,15,"u","(4,4,3,2,2)",96525,49335,"exact",49335,49335],[6,15,"u","(4,4,3,2,1,1)",175175,92465,"exact",92465,92465],[6,15,"u","(4,4,3,1,1,1,1)",90090,50700,"exact",50700,50700],[6,15,"u","(4,4,2,2,2,1)",100100,56240,"exact",56240,56240],[6,15,"u","(4,4,2,2,1,1,1)",112112,65828,"exact",65828,65828],[6,15,"u","(4,4,2,1,1,1,1,1)",58968,37212,"exact",37212,37212],[6,15,"u","(4,4,1,1,1,1,1,1,1)",13650,9485,"exact",9485,9485],[6,15,"u","(4,3,3,3,2)",54054,30102,"exact",30102,30102],[6,15,"u","(4,3,3,3,1,1)",80080,46000,"exact",46000,46000],[6,15,"u","(4,3,3,2,2,1)",128700,76860,"exact",76860,76860],[6,15,"u","(4,3,3,2,1,1,1)",135135,84255,"exact",84255,84255],[6,15,"u","(4,3,3,1,1,1,1,1)",57330,38370,"exact",38370,38370],[6,15,"u","(4,3,2,2,2,2)",50050,32230,"exact",32230,32230],[6,15,"u","(4,3,2,2,2,1,1)",108108,71472,"exact",71472,71472],[6,15,"u","(4,3,2,2,1,1,1,1)",91000,63340,"exact",63340,63340],[6,15,"u","(4,3,2,1,1,1,1,1,1)",42042,31528,"exact",31528,31528],[6,15,"u","(4,3,1,1,1,1,1,1,1,1)",9450,7770,"exact",7770,7770],[6,15,"u","(4,2,2,2,2,2,1)",27027,19683,"exact",19683,19683],[6,15,"u","(4,2,2,2,2,1,1,1)",35100,26460,"exact",26460,26460],[6,15,"u","(4,2,2,2,1,1,1,1,1)",25025,19930,"exact",19930,19930],[6,15,"u","(4,2,2,1,1,1,1,1,1,1)",11088,9492,"exact",9492,9492],[6,15,"u","(4,2,1,1,1,1,1,1,1,1,1)",2925,2715,"exact",2715,2715],[6,15,"u","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[6,15,"u","(3,3,3,3,3)",6006,3848,"exact",3848,3848],[6,15,"u","(3,3,3,3,2,1)",30030,20110,"exact",20110,20110],[6,15,"u","(3,3,3,3,1,1,1)",25025,17425,"exact",17425,17425],[6,15,"u","(3,3,3,2,2,2)",21450,15080,"exact",15080,15080],[6,15,"u","(3,3,3,2,2,1,1)",45045,32445,"exact",32445,32445],[6,15,"u","(3,3,3,2,1,1,1,1)",35035,26435,"exact",26435,26435],[6,15,"u","(3,3,3,1,1,1,1,1,1)",12740,10270,"exact",10270,10270],[6,15,"u","(3,3,2,2,2,2,1)",25025,19215,"exact",19215,19215],[6,15,"u","(3,3,2,2,2,1,1,1)",32032,25368,"exact",25368,25368],[6,15,"u","(3,3,2,2,1,1,1,1,1)",22113,18387,"exact",18387,18387],[6,15,"u","(3,3,2,1,1,1,1,1,1,1)",9100,8050,"exact",8050,8050],[6,15,"u","(3,3,1,1,1,1,1,1,1,1,1)",1925,1820,"exact",1820,1820],[6,15,"u","(3,2,2,2,2,2,2)",5005,4200,"exact",4200,4200],[6,15,"u","(3,2,2,2,2,2,1,1)",11583,9882,"exact",9882,9882],[6,15,"u","(3,2,2,2,2,1,1,1,1)",11375,10020,"exact",10020,10020],[6,15,"u","(3,2,2,2,1,1,1,1,1,1)",7007,6443,"exact",6443,6443],[6,15,"u","(3,2,2,1,1,1,1,1,1,1,1)",2835,2730,"exact",2730,2730],[6,15,"u","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[6,15,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[6,15,"u","(2,2,2,2,2,2,2,1)",1430,1320,"exact",1320,1320],[6,15,"u","(2,2,2,2,2,2,1,1,1)",2002,1878,"exact",1878,1878],[6,15,"u","(2,2,2,2,2,1,1,1,1,1)",1638,1572,"exact",1572,1572],[6,15,"u","(2,2,2,2,1,1,1,1,1,1,1)",910,895,"exact",895,895],[6,15,"u","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[6,15,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[6,15,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[6,15,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,16,"u","(16)",1,0,"exact",0,0],[6,16,"u","(15,1)",15,0,"exact",0,0],[6,16,"u","(14,2)",104,0,"exact",0,0],[6,16,"u","(14,1,1)",105,0,"exact",0,0],[6,16,"u","(13,3)",440,0,"exact",0,0],[6,16,"u","(13,2,1)",896,0,"exact",0,0],[6,16,"u","(13,1,1,1)",455,0,"exact",0,0],[6,16,"u","(12,4)",1260,0,"exact",0,0],[6,16,"u","(12,3,1)",3900,0,"exact",0,0],[6,16,"u","(12,2,2)",2640,0,"exact",0,0],[6,16,"u","(12,2,1,1)",4004,0,"exact",0,0],[6,16,"u","(12,1,1,1,1)",1365,0,"exact",0,0],[6,16,"u","(11,5)",2548,0,"exact",0,0],[6,16,"u","(11,4,1)",10752,0,"exact",0,0],[6,16,"u","(11,3,2)",13860,0,"exact",0,0],[6,16,"u","(11,3,1,1)",16848,0,"exact",0,0],[6,16,"u","(11,2,2,1)",14300,0,"exact",0,0],[6,16,"u","(11,2,1,1,1)",11648,0,"exact",0,0],[6,16,"u","(11,1,1,1,1,1)",3003,0,"exact",0,0],[6,16,"u","(10,6)",3640,210,"exact",210,210],[6,16,"u","(10,5,1)",20020,1050,"exact",1050,1050],[6,16,"u","(10,4,2)",38220,1890,"exact",1890,1890],[6,16,"u","(10,4,1,1)",43120,2100,"exact",2100,2100],[6,16,"u","(10,3,3)",21840,1050,"exact",1050,1050],[6,16,"u","(10,3,2,1)",71680,3360,"exact",3360,3360],[6,16,"u","(10,3,1,1,1)",45760,2100,"exact",2100,2100],[6,16,"u","(10,2,2,2)",23100,1050,"exact",1050,1050],[6,16,"u","(10,2,2,1,1)",42120,1890,"exact",1890,1890],[6,16,"u","(10,2,1,1,1,1)",24024,1050,"exact",1050,1050],[6,16,"u","(10,1,1,1,1,1,1)",5005,210,"exact",210,210],[6,16,"u","(9,7)",3432,414,"exact",414,414],[6,16,"u","(9,6,1)",24960,3240,"exact",3240,3240],[6,16,"u","(9,5,2)",65520,8820,"exact",8820,8820],[6,16,"u","(9,5,1,1)",71500,9990,"exact",9990,9990],[6,16,"u","(9,4,3)",69888,9576,"exact",9576,9576],[6,16,"u","(9,4,2,1)",180180,25830,"exact",25830,25830],[6,16,"u","(9,4,1,1,1)",105600,15840,"exact",15840,15840],[6,16,"u","(9,3,3,1)",112112,16254,"exact",16254,16254],[6,16,"u","(9,3,2,2)",114660,17010,"exact",17010,17010],[6,16,"u","(9,3,2,1,1)",194040,29610,"exact",29610,29610],[6,16,"u","(9,3,1,1,1,1)",85800,13770,"exact",13770,13770],[6,16,"u","(9,2,2,2,1)",80640,12600,"exact",12600,12600],[6,16,"u","(9,2,2,1,1,1)",82368,13356,"exact",13356,13356],[6,16,"u","(9,2,1,1,1,1,1)",36608,6264,"exact",6264,6264],[6,16,"u","(9,1,1,1,1,1,1,1)",6435,1170,"exact",1170,1170],[6,16,"u","(8,8)",1430,225,"exact",225,225],[6,16,"u","(8,7,1)",18018,3381,"exact",3381,3381],[6,16,"u","(8,6,2)",68640,14580,"exact",14580,14580],[6,16,"u","(8,6,1,1)",73710,16275,"exact",16275,16275],[6,16,"u","(8,5,3)",112112,25704,"exact",25704,25704],[6,16,"u","(8,5,2,1)",266240,64800,"exact",64800,64800],[6,16,"u","(8,5,1,1,1)",150150,38535,"exact",38535,38535],[6,16,"u","(8,4,4)",60060,14280,"exact",14280,14280],[6,16,"u","(8,4,3,1)",318500,81900,"exact",81900,81900],[6,16,"u","(8,4,2,2)",262080,70140,"exact",70140,70140],[6,16,"u","(8,4,2,1,1)",429000,118530,"exact",118530,118530],[6,16,"u","(8,4,1,1,1,1)",173250,51135,"exact",51135,51135],[6,16,"u","(8,3,3,2)",206388,57246,"exact",57246,57246],[6,16,"u","(8,3,3,1,1)",280280,80220,"exact",80220,80220],[6,16,"u","(8,3,2,2,1)",360360,107100,"exact",107100,107100],[6,16,"u","(8,3,2,1,1,1)",337920,105120,"exact",105120,105120],[6,16,"u","(8,3,1,1,1,1,1)",115830,38955,"exact",38955,38955],[6,16,"u","(8,2,2,2,2)",76440,24360,"exact",24360,24360],[6,16,"u","(8,2,2,2,1,1)",155232,50904,"exact",50904,50904],[6,16,"u","(8,2,2,1,1,1,1)",114400,39780,"exact",39780,39780],[6,16,"u","(8,2,1,1,1,1,1,1)",42042,15981,"exact",15981,15981],[6,16,"u","(8,1,1,1,1,1,1,1,1)",6435,2745,"exact",2745,2745],[6,16,"u","(7,7,2)",30030,7665,"exact",7665,7665],[6,16,"u","(7,7,1,1)",32032,8484,"exact",8484,8484],[6,16,"u","(7,6,3)",91520,26860,"exact",26860,26860],[6,16,"u","(7,6,2,1)",210210,65345,"exact",65345,65345],[6,16,"u","(7,6,1,1,1)",116480,38080,"exact",38080,38080],[6,16,"u","(7,5,4)",100100,31850,"exact",31850,31850],[6,16,"u","(7,5,3,1)",416988,143856,"exact",143856,143856],[6,16,"u","(7,5,2,2)",320320,114940,"exact",114940,114940],[6,16,"u","(7,5,2,1,1)",515970,190995,"exact",190995,190995],[6,16,"u","(7,5,1,1,1,1)",200200,78890,"exact",78890,78890],[6,16,"u","(7,4,4,1)",240240,87220,"exact",87220,87220],[6,16,"u","(7,4,3,2)",512512,198044,"exact",198044,198044],[6,16,"u","(7,4,3,1,1)",673920,268500,"exact",268500,268500],[6,16,"u","(7,4,2,2,1)",698880,289380,"exact",289380,289380],[6,16,"u","(7,4,2,1,1,1)",630630,272895,"exact",272895,272895],[6,16,"u","(7,4,1,1,1,1,1)",197120,91840,"exact",91840,91840],[6,16,"u","(7,3,3,3)",140140,57960,"exact",57960,57960],[6,16,"u","(7,3,3,2,1)",582400,252700,"exact",252700,252700],[6,16,"u","(7,3,3,1,1,1)",429000,194480,"exact",194480,194480],[6,16,"u","(7,3,2,2,2)",305760,140000,"exact",140000,140000],[6,16,"u","(7,3,2,2,1,1)",600600,282870,"exact",282870,282870],[6,16,"u","(7,3,2,1,1,1,1)",404250,201355,"exact",201355,201355],[6,16,"u","(7,3,1,1,1,1,1,1)",114400,62020,"exact",62020,62020],[6,16,"u","(7,2,2,2,2,1)",168168,85456,"exact",85456,85456],[6,16,"u","(7,2,2,2,1,1,1)",197120,104300,"exact",104300,104300],[6,16,"u","(7,2,2,1,1,1,1,1)",115830,65535,"exact",65535,65535],[6,16,"u","(7,2,1,1,1,1,1,1,1)",36608,22784,"exact",22784,22784],[6,16,"u","(7,1,1,1,1,1,1,1,1,1)",5005,3535,"exact",3535,3535],[6,16,"u","(6,6,4)",51480,18615,"exact",18615,18615],[6,16,"u","(6,6,3,1)",200200,78225,"exact",78225,78225],[6,16,"u","(6,6,2,2)",150150,60900,"exact",60900,60900],[6,16,"u","(6,6,2,1,1)",240240,100380,"exact",100380,100380],[6,16,"u","(6,6,1,1,1,1)",91728,40656,"exact",40656,40656],[6,16,"u","(6,5,5)",36036,13917,"exact",13917,13917],[6,16,"u","(6,5,4,1)",292864,125448,"exact",125448,125448],[6,16,"u","(6,5,3,2)",500500,227400,"exact",227400,227400],[6,16,"u","(6,5,3,1,1)",648648,303471,"exact",303471,303471],[6,16,"u","(6,5,2,2,1)",630630,305760,"exact",305760,305760],[6,16,"u","(6,5,2,1,1,1)",559104,282408,"exact",282408,282408],[6,16,"u","(6,5,1,1,1,1,1)",168168,90846,"exact",90846,90846],[6,16,"u","(6,4,4,2)",336336,161622,"exact",161622,161622],[6,16,"u","(6,4,4,1,1)",411840,203730,"exact",203730,203730],[6,16,"u","(6,4,3,3)",300300,150300,"exact",150300,150300],[6,16,"u","(6,4,3,2,1)",1153152,603984,"exact",603984,603984],[6,16,"u","(6,4,3,1,1,1)",819000,446775,"exact",446775,446775],[6,16,"u","(6,4,2,2,2)",480480,264510,"exact",264510,264510],[6,16,"u","(6,4,2,2,1,1)",928746,524412,"exact",524412,524412],[6,16,"u","(6,4,2,1,1,1,1)",600600,356580,"exact",356580,356580],[6,16,"u","(6,4,1,1,1,1,1,1)",155232,99204,"exact",99204,99204],[6,16,"u","(6,3,3,3,1)",360360,201540,"exact",201540,201540],[6,16,"u","(6,3,3,2,2)",448448,258726,"exact",258726,258726],[6,16,"u","(6,3,3,2,1,1)",819000,484650,"exact",484650,484650],[6,16,"u","(6,3,3,1,1,1,1)",429000,266895,"exact",266895,266895],[6,16,"u","(6,3,2,2,2,1)",559104,347328,"exact",347328,347328],[6,16,"u","(6,3,2,2,1,1,1)",630630,405720,"exact",405720,405720],[6,16,"u","(6,3,2,1,1,1,1,1)",337920,230280,"exact",230280,230280],[6,16,"u","(6,3,1,1,1,1,1,1,1)",82368,60696,"exact",60696,60696],[6,16,"u","(6,2,2,2,2,2)",91728,61881,"exact",61881,61881],[6,16,"u","(6,2,2,2,2,1,1)",200200,137985,"exact",137985,137985],[6,16,"u","(6,2,2,2,1,1,1,1)",173250,124635,"exact",124635,124635],[6,16,"u","(6,2,2,1,1,1,1,1,1)",85800,65730,"exact",65730,65730],[6,16,"u","(6,2,1,1,1,1,1,1,1,1)",24024,19950,"exact",19950,19950],[6,16,"u","(6,1,1,1,1,1,1,1,1,1,1)",3003,2751,"exact",2751,2751],[6,16,"u","(5,5,5,1)",60060,28975,"exact",28975,28975],[6,16,"u","(5,5,4,2)",231660,121140,"exact",121140,121140],[6,16,"u","(5,5,4,1,1)",280280,150755,"exact",150755,150755],[6,16,"u","(5,5,3,3)",171600,93250,"exact",93250,93250],[6,16,"u","(5,5,3,2,1)",640640,363560,"exact",363560,363560],[6,16,"u","(5,5,3,1,1,1)",448448,264446,"exact",264446,264446],[6,16,"u","(5,5,2,2,2)",250250,148800,"exact",148800,148800],[6,16,"u","(5,5,2,2,1,1)",480480,292530,"exact",292530,292530],[6,16,"u","(5,5,2,1,1,1,1)",305760,195020,"exact",195020,195020],[6,16,"u","(5,5,1,1,1,1,1,1)",76440,52150,"exact",52150,52150],[6,16,"u","(5,4,4,3)",180180,103290,"exact",103290,103290],[6,16,"u","(5,4,4,2,1)",549120,328620,"exact",328620,328620],[6,16,"u","(5,4,4,1,1,1)",360360,223995,"exact",223995,223995],[6,16,"u","(5,4,3,3,1)",549120,340860,"exact",340860,340860],[6,16,"u","(5,4,3,2,2)",640640,409300,"exact",409300,409300],[6,16,"u","(5,4,3,2,1,1)",1153152,753804,"exact",753804,753804],[6,16,"u","(5,4,3,1,1,1,1)",582400,398300,"exact",398300,398300],[6,16,"u","(5,4,2,2,2,1)",630630,430590,"exact",430590,430590],[6,16,"u","(5,4,2,2,1,1,1)",698880,492240,"exact",492240,492240],[6,16,"u","(5,4,2,1,1,1,1,1)",360360,266910,"exact",266910,266910],[6,16,"u","(5,4,1,1,1,1,1,1,1)",80640,63840,"exact",63840,63840],[6,16,"u","(5,3,3,3,2)",280280,189890,"exact",189890,189890],[6,16,"u","(5,3,3,3,1,1)",411840,285210,"exact",285210,285210],[6,16,"u","(5,3,3,2,2,1)",648648,461496,"exact",461496,461496],[6,16,"u","(5,3,3,2,1,1,1)",673920,494160,"exact",494160,494160],[6,16,"u","(5,3,3,1,1,1,1,1)",280280,215845,"exact",215845,215845],[6,16,"u","(5,3,2,2,2,2)",240240,180075,"exact",180075,180075],[6,16,"u","(5,3,2,2,2,1,1)",515970,393885,"exact",393885,393885],[6,16,"u","(5,3,2,2,1,1,1,1)",429000,339345,"exact",339345,339345],[6,16,"u","(5,3,2,1,1,1,1,1,1)",194040,161490,"exact",161490,161490],[6,16,"u","(5,3,1,1,1,1,1,1,1,1)",42120,37290,"exact",37290,37290],[6,16,"u","(5,2,2,2,2,2,1)",116480,94940,"exact",94940,94940],[6,16,"u","(5,2,2,2,2,1,1,1)",150150,125290,"exact",125290,125290],[6,16,"u","(5,2,2,2,1,1,1,1,1)",105600,91440,"exact",91440,91440],[6,16,"u","(5,2,2,1,1,1,1,1,1,1)",45760,41560,"exact",41560,41560],[6,16,"u","(5,2,1,1,1,1,1,1,1,1,1)",11648,11144,"exact",11144,11144],[6,16,"u","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[6,16,"u","(4,4,4,4)",24024,15257,"exact",15257,15257],[6,16,"u","(4,4,4,3,1)",180180,121065,"exact",121065,121065],[6,16,"u","(4,4,4,2,2)",171600,118480,"exact",118480,118480],[6,16,"u","(4,4,4,2,1,1)",300300,211755,"exact",211755,211755],[6,16,"u","(4,4,4,1,1,1,1)",140140,103020,"exact",103020,103020],[6,16,"u","(4,4,3,3,2)",231660,165255,"exact",165255,165255],[6,16,"u","(4,4,3,3,1,1)",336336,244848,"exact",244848,244848],[6,16,"u","(4,4,3,2,2,1)",500500,373525,"exact",373525,373525],[6,16,"u","(4,4,3,2,1,1,1)",512512,393208,"exact",393208,393208],[6,16,"u","(4,4,3,1,1,1,1,1)",206388,165522,"exact",165522,165522],[6,16,"u","(4,4,2,2,2,2)",150150,117495,"exact",117495,117495],[6,16,"u","(4,4,2,2,2,1,1)",320320,254830,"exact",254830,254830],[6,16,"u","(4,4,2,2,1,1,1,1)",262080,215250,"exact",215250,215250],[6,16,"u","(4,4,2,1,1,1,1,1,1)",114660,98490,"exact",98490,98490],[6,16,"u","(4,4,1,1,1,1,1,1,1,1)",23100,20930,"exact",20930,20930],[6,16,"u","(4,3,3,3,3)",60060,45695,"exact",45695,45695],[6,16,"u","(4,3,3,3,2,1)",292864,229472,"exact",229472,229472],[6,16,"u","(4,3,3,3,1,1,1)",240240,193130,"exact",193130,193130],[6,16,"u","(4,3,3,2,2,2)",200200,161895,"exact",161895,161895],[6,16,"u","(4,3,3,2,2,1,1)",416988,342522,"exact",342522,342522],[6,16,"u","(4,3,3,2,1,1,1,1)",318500,269550,"exact",269550,269550],[6,16,"u","(4,3,3,1,1,1,1,1,1)",112112,98903,"exact",98903,98903],[6,16,"u","(4,3,2,2,2,2,1)",210210,179815,"exact",179815,179815],[6,16,"u","(4,3,2,2,2,1,1,1)",266240,232240,"exact",232240,232240],[6,16,"u","(4,3,2,2,1,1,1,1,1)",180180,162015,"exact",162015,162015],[6,16,"u","(4,3,2,1,1,1,1,1,1,1)",71680,66920,"exact",66920,66920],[6,16,"u","(4,3,1,1,1,1,1,1,1,1,1)",14300,13880,"exact",13880,13880],[6,16,"u","(4,2,2,2,2,2,2)",32032,28938,"exact",28938,28938],[6,16,"u","(4,2,2,2,2,2,1,1)",73710,67275,"exact",67275,67275],[6,16,"u","(4,2,2,2,2,1,1,1,1)",71500,66535,"exact",66535,66535],[6,16,"u","(4,2,2,2,1,1,1,1,1,1)",43120,41160,"exact",41160,41160],[6,16,"u","(4,2,2,1,1,1,1,1,1,1,1)",16848,16512,"exact",16512,16512],[6,16,"u","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[6,16,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[6,16,"u","(3,3,3,3,3,1)",36036,30303,"exact",30303,30303],[6,16,"u","(3,3,3,3,2,2)",51480,44025,"exact",44025,44025],[6,16,"u","(3,3,3,3,2,1,1)",100100,86750,"exact",86750,86750],[6,16,"u","(3,3,3,3,1,1,1,1)",60060,53370,"exact",53370,53370],[6,16,"u","(3,3,3,2,2,2,1)",91520,81260,"exact",81260,81260],[6,16,"u","(3,3,3,2,2,1,1,1)",112112,101198,"exact",101198,101198],[6,16,"u","(3,3,3,2,1,1,1,1,1)",69888,64692,"exact",64692,64692],[6,16,"u","(3,3,3,1,1,1,1,1,1,1)",21840,20825,"exact",20825,20825],[6,16,"u","(3,3,2,2,2,2,2)",30030,27645,"exact",27645,27645],[6,16,"u","(3,3,2,2,2,2,1,1)",68640,63750,"exact",63750,63750],[6,16,"u","(3,3,2,2,2,1,1,1,1)",65520,61860,"exact",61860,61860],[6,16,"u","(3,3,2,2,1,1,1,1,1,1)",38220,36855,"exact",36855,36855],[6,16,"u","(3,3,2,1,1,1,1,1,1,1,1)",13860,13650,"exact",13650,13650],[6,16,"u","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[6,16,"u","(3,2,2,2,2,2,2,1)",18018,17307,"exact",17307,17307],[6,16,"u","(3,2,2,2,2,2,1,1,1)",24960,24180,"exact",24180,24180],[6,16,"u","(3,2,2,2,2,1,1,1,1,1)",20020,19625,"exact",19625,19625],[6,16,"u","(3,2,2,2,1,1,1,1,1,1,1)",10752,10668,"exact",10668,10668],[6,16,"u","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[6,16,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[6,16,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[6,16,"u","(2,2,2,2,2,2,2,2)",1430,1410,"exact",1410,1410],[6,16,"u","(2,2,2,2,2,2,2,1,1)",3432,3393,"exact",3393,3393],[6,16,"u","(2,2,2,2,2,2,1,1,1,1)",3640,3615,"exact",3615,3615],[6,16,"u","(2,2,2,2,2,1,1,1,1,1,1)",2548,2542,"exact",2542,2542],[6,16,"u","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[6,16,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[6,16,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[6,16,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[6,16,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,17,"u","(17)",1,0,"exact",0,0],[6,17,"u","(16,1)",16,0,"exact",0,0],[6,17,"u","(15,2)",119,0,"exact",0,0],[6,17,"u","(15,1,1)",120,0,"exact",0,0],[6,17,"u","(14,3)",544,0,"exact",0,0],[6,17,"u","(14,2,1)",1105,0,"exact",0,0],[6,17,"u","(14,1,1,1)",560,0,"exact",0,0],[6,17,"u","(13,4)",1700,0,"exact",0,0],[6,17,"u","(13,3,1)",5236,0,"exact",0,0],[6,17,"u","(13,2,2)",3536,0,"exact",0,0],[6,17,"u","(13,2,1,1)",5355,0,"exact",0,0],[6,17,"u","(13,1,1,1,1)",1820,0,"exact",0,0],[6,17,"u","(12,5)",3808,0,"exact",0,0],[6,17,"u","(12,4,1)",15912,0,"exact",0,0],[6,17,"u","(12,3,2)",20400,0,"exact",0,0],[6,17,"u","(12,3,1,1)",24752,0,"exact",0,0],[6,17,"u","(12,2,2,1)",20944,0,"exact",0,0],[6,17,"u","(12,2,1,1,1)",17017,0,"exact",0,0],[6,17,"u","(12,1,1,1,1,1)",4368,0,"exact",0,0],[6,17,"u","(11,6)",6188,462,"exact",462,462],[6,17,"u","(11,5,1)",33320,2310,"exact",2310,2310],[6,17,"u","(11,4,2)",62832,4158,"exact",4158,4158],[6,17,"u","(11,4,1,1)",70720,4620,"exact",4620,4620],[6,17,"u","(11,3,3)",35700,2310,"exact",2310,2310],[6,17,"u","(11,3,2,1)",116688,7392,"exact",7392,7392],[6,17,"u","(11,3,1,1,1)",74256,4620,"exact",4620,4620],[6,17,"u","(11,2,2,2)",37400,2310,"exact",2310,2310],[6,17,"u","(11,2,2,1,1)",68068,4158,"exact",4158,4158],[6,17,"u","(11,2,1,1,1,1)",38675,2310,"exact",2310,2310],[6,17,"u","(11,1,1,1,1,1,1)",8008,462,"exact",462,462],[6,17,"u","(10,7)",7072,1128,"exact",1128,1128],[6,17,"u","(10,6,1)",48620,8280,"exact",8280,8280],[6,17,"u","(10,5,2)",123760,21840,"exact",21840,21840],[6,17,"u","(10,5,1,1)",134640,24480,"exact",24480,24480],[6,17,"u","(10,4,3)",129948,23352,"exact",23352,23352],[6,17,"u","(10,4,2,1)",333200,62160,"exact",62160,62160],[6,17,"u","(10,4,1,1,1)",194480,37680,"exact",37680,37680],[6,17,"u","(10,3,3,1)",205632,38808,"exact",38808,38808],[6,17,"u","(10,3,2,2)",209440,40320,"exact",40320,40320],[6,17,"u","(10,3,2,1,1)",353600,69720,"exact",69720,69720],[6,17,"u","(10,3,1,1,1,1)",155584,32040,"exact",32040,32040],[6,17,"u","(10,2,2,2,1)",145860,29400,"exact",29400,29400],[6,17,"u","(10,2,2,1,1,1)",148512,30912,"exact",30912,30912],[6,17,"u","(10,2,1,1,1,1,1)",65637,14328,"exact",14328,14328],[6,17,"u","(10,1,1,1,1,1,1,1)",11440,2640,"exact",2640,2640],[6,17,"u","(9,8)",4862,1059,"exact",1059,1059],[6,17,"u","(9,7,1)",46410,11655,"exact",11655,11655],[6,17,"u","(9,6,2)",159120,44280,"exact",44280,44280],[6,17,"u","(9,6,1,1)",170170,48825,"exact",48825,48825],[6,17,"u","(9,5,3)",247520,73500,"exact",73500,73500],[6,17,"u","(9,5,2,1)",583440,181680,"exact",181680,181680],[6,17,"u","(9,5,1,1,1)",327250,106365,"exact",106365,106365],[6,17,"u","(9,4,4)",129948,39816,"exact",39816,39816],[6,17,"u","(9,4,3,1)",680680,222180,"exact",222180,222180],[6,17,"u","(9,4,2,2)",556920,187740,"exact",187740,187740],[6,17,"u","(9,4,2,1,1)",908820,314550,"exact",314550,314550],[6,17,"u","(9,4,1,1,1,1)",364650,133245,"exact",133245,133245],[6,17,"u","(9,3,3,2)",433160,150570,"exact",150570,150570],[6,17,"u","(9,3,3,1,1)",586432,209244,"exact",209244,209244],[6,17,"u","(9,3,2,2,1)",749700,275940,"exact",275940,275940],[6,17,"u","(9,3,2,1,1,1)",700128,267696,"exact",267696,267696],[6,17,"u","(9,3,1,1,1,1,1)",238238,97209,"exact",97209,97209],[6,17,"u","(9,2,2,2,2)",157080,61320,"exact",61320,61320],[6,17,"u","(9,2,2,2,1,1)",318240,127260,"exact",127260,127260],[6,17,"u","(9,2,2,1,1,1,1)",233376,98040,"exact",98040,98040],[6,17,"u","(9,2,1,1,1,1,1,1)",85085,38535,"exact",38535,38535],[6,17,"u","(9,1,1,1,1,1,1,1,1)",12870,6435,"exact",6435,6435],[6,17,"u","(8,8,1)",19448,5706,"exact",5706,5706],[6,17,"u","(8,7,2)",116688,40032,"exact",40032,40032],[6,17,"u","(8,7,1,1)",123760,43680,"exact",43680,43680],[6,17,"u","(8,6,3)",272272,104188,"exact",104188,104188],[6,17,"u","(8,6,2,1)",618800,247520,"exact",247520,247520],[6,17,"u","(8,6,1,1,1)",340340,141610,"exact",141610,141610],[6,17,"u","(8,5,4)",272272,111104,"exact",111104,111104],[6,17,"u","(8,5,3,1)",1113840,483840,"exact",483840,483840],[6,17,"u","(8,5,2,2)",848640,380080,"exact",380080,380080],[6,17,"u","(8,5,2,1,1)",1361360,624960,"exact",624960,624960],[6,17,"u","(8,5,1,1,1,1)",523600,252560,"exact",252560,252560],[6,17,"u","(8,4,4,1)",618800,280000,"exact",280000,280000],[6,17,"u","(8,4,3,2)",1299480,617330,"exact",617330,617330],[6,17,"u","(8,4,3,1,1)",1701700,828450,"exact",828450,828450],[6,17,"u","(8,4,2,2,1)",1750320,878310,"exact",878310,878310],[6,17,"u","(8,4,2,1,1,1)",1570800,816480,"exact",816480,816480],[6,17,"u","(8,4,1,1,1,1,1)",486200,268030,"exact",268030,268030],[6,17,"u","(8,3,3,3)",346528,173712,"exact",173712,173712],[6,17,"u","(8,3,3,2,1)",1429428,744646,"exact",744646,744646],[6,17,"u","(8,3,3,1,1,1)",1047200,565040,"exact",565040,565040],[6,17,"u","(8,3,2,2,2)",742560,403760,"exact",403760,403760],[6,17,"u","(8,3,2,2,1,1)",1454112,808704,"exact",808704,808704],[6,17,"u","(8,3,2,1,1,1,1)",972400,565600,"exact",565600,565600],[6,17,"u","(8,3,1,1,1,1,1,1)",272272,169456,"exact",169456,169456],[6,17,"u","(8,2,2,2,2,1)",399840,236320,"exact",236320,236320],[6,17,"u","(8,2,2,2,1,1,1)",466752,284948,"exact",284948,284948],[6,17,"u","(8,2,2,1,1,1,1,1)",272272,175392,"exact",175392,175392],[6,17,"u","(8,2,1,1,1,1,1,1,1)",85085,59150,"exact",59150,59150],[6,17,"u","(8,1,1,1,1,1,1,1,1,1)",11440,8800,"exact",8800,8800],[6,17,"u","(7,7,3)",121550,51745,"exact",51745,51745],[6,17,"u","(7,7,2,1)",272272,120848,"exact",120848,120848],[6,17,"u","(7,7,1,1,1)",148512,68404,"exact",68404,68404],[6,17,"u","(7,6,4)",243100,114375,"exact",114375,114375],[6,17,"u","(7,6,3,1)",918918,458052,"exact",458052,458052],[6,17,"u","(7,6,2,2)",680680,348915,"exact",348915,348915],[6,17,"u","(7,6,2,1,1)",1082900,567840,"exact",567840,567840],[6,17,"u","(7,6,1,1,1,1)",408408,223986,"exact",223986,223986],[6,17,"u","(7,5,5)",136136,67277,"exact",67277,67277],[6,17,"u","(7,5,4,1)",1050192,560544,"exact",560544,560544],[6,17,"u","(7,5,3,2)",1750320,976380,"exact",976380,976380],[6,17,"u","(7,5,3,1,1)",2255526,1286712,"exact",1286712,1286712],[6,17,"u","(7,5,2,2,1)",2165800,1269205,"exact",1269205,1269205],[6,17,"u","(7,5,2,1,1,1)",1905904,1152368,"exact",1152368,1152368],[6,17,"u","(7,5,1,1,1,1,1)",565488,359856,"exact",359856,359856],[6,17,"u","(7,4,4,2)",1089088,633486,"exact",633486,633486],[6,17,"u","(7,4,4,1,1)",1326000,788650,"exact",788650,788650],[6,17,"u","(7,4,3,3)",952952,571508,"exact",571508,571508],[6,17,"u","(7,4,3,2,1)",3620864,2248128,"exact",2248128,2248128],[6,17,"u","(7,4,3,1,1,1)",2552550,1634780,"exact",1634780,1634780],[6,17,"u","(7,4,2,2,2)",1485120,957530,"exact",957530,957530],[6,17,"u","(7,4,2,2,1,1)",2858856,1879227,"exact",1879227,1879227],[6,17,"u","(7,4,2,1,1,1,1)",1832600,1251530,"exact",1251530,1251530],[6,17,"u","(7,4,1,1,1,1,1,1)",466752,337064,"exact",337064,337064],[6,17,"u","(7,3,3,3,1)",1082900,706300,"exact",706300,706300],[6,17,"u","(7,3,3,2,2)",1336608,892626,"exact",892626,892626],[6,17,"u","(7,3,3,2,1,1)",2431000,1655100,"exact",1655100,1655100],[6,17,"u","(7,3,3,1,1,1,1)",1262250,892680,"exact",892680,892680],[6,17,"u","(7,3,2,2,2,1)",1633632,1153824,"exact",1153824,1153824],[6,17,"u","(7,3,2,2,1,1,1)",1832600,1329195,"exact",1329195,1329195],[6,17,"u","(7,3,2,1,1,1,1,1)",972400,736640,"exact",736640,736640],[6,17,"u","(7,3,1,1,1,1,1,1,1)",233376,187500,"exact",187500,187500],[6,17,"u","(7,2,2,2,2,2)",259896,195307,"exact",195307,195307],[6,17,"u","(7,2,2,2,2,1,1)",565488,431907,"exact",431907,431907],[6,17,"u","(7,2,2,2,1,1,1,1)",486200,383510,"exact",383510,383510],[6,17,"u","(7,2,2,1,1,1,1,1,1)",238238,196973,"exact",196973,196973],[6,17,"u","(7,2,1,1,1,1,1,1,1,1)",65637,57609,"exact",57609,57609],[6,17,"u","(7,1,1,1,1,1,1,1,1,1,1)",8008,7546,"exact",7546,7546],[6,17,"u","(6,6,5)",87516,46650,"exact",46650,46650],[6,17,"u","(6,6,4,1)",544544,312060,"exact",312060,312060],[6,17,"u","(6,6,3,2)",850850,508095,"exact",508095,508095],[6,17,"u","(6,6,3,1,1)",1089088,664188,"exact",664188,664188],[6,17,"u","(6,6,2,2,1)",1021020,638400,"exact",638400,638400],[6,17,"u","(6,6,2,1,1,1)",891072,573552,"exact",573552,573552],[6,17,"u","(6,6,1,1,1,1,1)",259896,175350,"exact",175350,175350],[6,17,"u","(6,5,5,1)",388960,233800,"exact",233800,233800],[6,17,"u","(6,5,4,2)",1361360,866940,"exact",866940,866940],[6,17,"u","(6,5,4,1,1)",1633632,1061984,"exact",1061984,1061984],[6,17,"u","(6,5,3,3)",972400,636580,"exact",636580,636580],[6,17,"u","(6,5,3,2,1)",3573570,2414405,"exact",2414405,2414405],[6,17,"u","(6,5,3,1,1,1)",2475200,1719620,"exact",1719620,1719620],[6,17,"u","(6,5,2,2,2)",1361360,951300,"exact",951300,951300],[6,17,"u","(6,5,2,2,1,1)",2598960,1847580,"exact",1847580,1847580],[6,17,"u","(6,5,2,1,1,1,1)",1633632,1201088,"exact",1201088,1201088],[6,17,"u","(6,5,1,1,1,1,1,1)",399840,308560,"exact",308560,308560],[6,17,"u","(6,4,4,3)",816816,555180,"exact",555180,555180],[6,17,"u","(6,4,4,2,1)",2450448,1718196,"exact",1718196,1718196],[6,17,"u","(6,4,4,1,1,1)",1591200,1146720,"exact",1146720,1146720],[6,17,"u","(6,4,3,3,1)",2362932,1700712,"exact",1700712,1700712],[6,17,"u","(6,4,3,2,2)",2722720,2000680,"exact",2000680,2000680],[6,17,"u","(6,4,3,2,1,1)",4873050,3640455,"exact",3640455,3640455],[6,17,"u","(6,4,3,1,1,1,1)",2431000,1875950,"exact",1875950,1875950],[6,17,"u","(6,4,2,2,2,1)",2598960,2002980,"exact",2002980,2002980],[6,17,"u","(6,4,2,2,1,1,1)",2858856,2252880,"exact",2252880,2252880],[6,17,"u","(6,4,2,1,1,1,1,1)",1454112,1187712,"exact",1187712,1187712],[6,17,"u","(6,4,1,1,1,1,1,1,1)",318240,272460,"exact",272460,272460],[6,17,"u","(6,3,3,3,2)",1089088,834068,"exact",834068,834068],[6,17,"u","(6,3,3,3,1,1)",1591200,1237980,"exact",1237980,1237980],[6,17,"u","(6,3,3,2,2,1)",2475200,1963020,"exact",1963020,1963020],[6,17,"u","(6,3,3,2,1,1,1)",2552550,2068395,"exact",2068395,2068395],[6,17,"u","(6,3,3,1,1,1,1,1)",1047200,878500,"exact",878500,878500],[6,17,"u","(6,3,2,2,2,2)",891072,733284,"exact",733284,733284],[6,17,"u","(6,3,2,2,2,1,1)",1905904,1588860,"exact",1588860,1588860],[6,17,"u","(6,3,2,2,1,1,1,1)",1570800,1342740,"exact",1342740,1342740],[6,17,"u","(6,3,2,1,1,1,1,1,1)",700128,620088,"exact",620088,620088],[6,17,"u","(6,3,1,1,1,1,1,1,1,1)",148512,137256,"exact",137256,137256],[6,17,"u","(6,2,2,2,2,2,1)",408408,356348,"exact",356348,356348],[6,17,"u","(6,2,2,2,2,1,1,1)",523600,464380,"exact",464380,464380],[6,17,"u","(6,2,2,2,1,1,1,1,1)",364650,331785,"exact",331785,331785],[6,17,"u","(6,2,2,1,1,1,1,1,1,1)",155584,146224,"exact",146224,146224],[6,17,"u","(6,2,1,1,1,1,1,1,1,1,1)",38675,37625,"exact",37625,37625],[6,17,"u","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[6,17,"u","(5,5,5,2)",291720,199225,"exact",199225,199225],[6,17,"u","(5,5,5,1,1)",340340,237000,"exact",237000,237000],[6,17,"u","(5,5,4,3)",583440,415180,"exact",415180,415180],[6,17,"u","(5,5,4,2,1)",1701700,1246645,"exact",1246645,1246645],[6,17,"u","(5,5,4,1,1,1)",1089088,818356,"exact",818356,818356],[6,17,"u","(5,5,3,3,1)",1361360,1021530,"exact",1021530,1021530],[6,17,"u","(5,5,3,2,2)",1531530,1171320,"exact",1171320,1171320],[6,17,"u","(5,5,3,2,1,1)",2722720,2114140,"exact",2114140,2114140],[6,17,"u","(5,5,3,1,1,1,1)",1336608,1068942,"exact",1068942,1068942],[6,17,"u","(5,5,2,2,2,1)",1361360,1087380,"exact",1087380,1087380],[6,17,"u","(5,5,2,2,1,1,1)",1485120,1210370,"exact",1210370,1210370],[6,17,"u","(5,5,2,1,1,1,1,1)",742560,624960,"exact",624960,624960],[6,17,"u","(5,5,1,1,1,1,1,1,1)",157080,137830,"exact",137830,137830],[6,17,"u","(5,4,4,4)",204204,152135,"exact",152135,152135],[6,17,"u","(5,4,4,3,1)",1458600,1129335,"exact",1129335,1129335],[6,17,"u","(5,4,4,2,2)",1361360,1073600,"exact",1073600,1073600],[6,17,"u","(5,4,4,2,1,1)",2362932,1890504,"exact",1890504,1890504],[6,17,"u","(5,4,4,1,1,1,1)",1082900,891065,"exact",891065,891065],[6,17,"u","(5,4,3,3,2)",1701700,1371705,"exact",1371705,1371705],[6,17,"u","(5,4,3,3,1,1)",2450448,2002758,"exact",2002758,2002758],[6,17,"u","(5,4,3,2,2,1)",3573570,2969615,"exact",2969615,2969615],[6,17,"u","(5,4,3,2,1,1,1)",3620864,3065280,"exact",3065280,3065280],[6,17,"u","(5,4,3,1,1,1,1,1)",1429428,1246203,"exact",1246203,1246203],[6,17,"u","(5,4,2,2,2,2)",1021020,875670,"exact",875670,875670],[6,17,"u","(5,4,2,2,2,1,1)",2165800,1877995,"exact",1877995,1877995],[6,17,"u","(5,4,2,2,1,1,1,1)",1750320,1549995,"exact",1549995,1549995],[6,17,"u","(5,4,2,1,1,1,1,1,1)",749700,683550,"exact",683550,683550],[6,17,"u","(5,4,1,1,1,1,1,1,1,1)",145860,137600,"exact",137600,137600],[6,17,"u","(5,3,3,3,3)",340340,286225,"exact",286225,286225],[6,17,"u","(5,3,3,3,2,1)",1633632,1401292,"exact",1401292,1401292],[6,17,"u","(5,3,3,3,1,1,1)",1326000,1157000,"exact",1157000,1157000],[6,17,"u","(5,3,3,2,2,2)",1089088,953886,"exact",953886,953886],[6,17,"u","(5,3,3,2,2,1,1)",2255526,1995975,"exact",1995975,1995975],[6,17,"u","(5,3,3,2,1,1,1,1)",1701700,1535590,"exact",1535590,1535590],[6,17,"u","(5,3,3,1,1,1,1,1,1)",586432,543522,"exact",543522,543522],[6,17,"u","(5,3,2,2,2,2,1)",1082900,983865,"exact",983865,983865],[6,17,"u","(5,3,2,2,2,1,1,1)",1361360,1252580,"exact",1252580,1252580],[6,17,"u","(5,3,2,2,1,1,1,1,1)",908820,852570,"exact",852570,852570],[6,17,"u","(5,3,2,1,1,1,1,1,1,1)",353600,339600,"exact",339600,339600],[6,17,"u","(5,3,1,1,1,1,1,1,1,1,1)",68068,66934,"exact",66934,66934],[6,17,"u","(5,2,2,2,2,2,2)",148512,139682,"exact",139682,139682],[6,17,"u","(5,2,2,2,2,2,1,1)",340340,322185,"exact",322185,322185],[6,17,"u","(5,2,2,2,2,1,1,1,1)",327250,313565,"exact",313565,313565],[6,17,"u","(5,2,2,2,1,1,1,1,1,1)",194480,189280,"exact",189280,189280],[6,17,"u","(5,2,2,1,1,1,1,1,1,1,1)",74256,73416,"exact",73416,73416],[6,17,"u","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[6,17,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[6,17,"u","(4,4,4,4,1)",204204,167102,"exact",167102,167102],[6,17,"u","(4,4,4,3,2)",583440,489700,"exact",489700,489700],[6,17,"u","(4,4,4,3,1,1)",816816,694068,"exact",694068,694068],[6,17,"u","(4,4,4,2,2,1)",972400,838460,"exact",838460,838460],[6,17,"u","(4,4,4,2,1,1,1)",952952,835153,"exact",835153,835153],[6,17,"u","(4,4,4,1,1,1,1,1)",346528,311472,"exact",311472,311472],[6,17,"u","(4,4,3,3,3)",291720,251390,"exact",251390,251390],[6,17,"u","(4,4,3,3,2,1)",1361360,1194300,"exact",1194300,1194300],[6,17,"u","(4,4,3,3,1,1,1)",1089088,970182,"exact",970182,970182],[6,17,"u","(4,4,3,2,2,2)",850850,760465,"exact",760465,760465],[6,17,"u","(4,4,3,2,2,1,1)",1750320,1578735,"exact",1578735,1578735],[6,17,"u","(4,4,3,2,1,1,1,1)",1299480,1192450,"exact",1192450,1192450],[6,17,"u","(4,4,3,1,1,1,1,1,1)",433160,406805,"exact",406805,406805],[6,17,"u","(4,4,2,2,2,2,1)",680680,628280,"exact",628280,628280],[6,17,"u","(4,4,2,2,2,1,1,1)",848640,791960,"exact",791960,791960],[6,17,"u","(4,4,2,2,1,1,1,1,1)",556920,528465,"exact",528465,528465],[6,17,"u","(4,4,2,1,1,1,1,1,1,1)",209440,202720,"exact",202720,202720],[6,17,"u","(4,4,1,1,1,1,1,1,1,1,1)",37400,36910,"exact",36910,36910],[6,17,"u","(4,3,3,3,3,1)",388960,352120,"exact",352120,352120],[6,17,"u","(4,3,3,3,2,2)",544544,498092,"exact",498092,498092],[6,17,"u","(4,3,3,3,2,1,1)",1050192,968388,"exact",968388,968388],[6,17,"u","(4,3,3,3,1,1,1,1)",618800,579260,"exact",579260,579260],[6,17,"u","(4,3,3,2,2,2,1)",918918,859722,"exact",859722,859722],[6,17,"u","(4,3,3,2,2,1,1,1)",1113840,1052340,"exact",1052340,1052340],[6,17,"u","(4,3,3,2,1,1,1,1,1)",680680,652610,"exact",652610,652610],[6,17,"u","(4,3,3,1,1,1,1,1,1,1)",205632,200508,"exact",200508,200508],[6,17,"u","(4,3,2,2,2,2,2)",272272,260188,"exact",260188,260188],[6,17,"u","(4,3,2,2,2,2,1,1)",618800,594380,"exact",594380,594380],[6,17,"u","(4,3,2,2,2,1,1,1,1)",583440,565700,"exact",565700,565700],[6,17,"u","(4,3,2,2,1,1,1,1,1,1)",333200,326900,"exact",326900,326900],[6,17,"u","(4,3,2,1,1,1,1,1,1,1,1)",116688,115792,"exact",115792,115792],[6,17,"u","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[6,17,"u","(4,2,2,2,2,2,2,1)",123760,121140,"exact",121140,121140],[6,17,"u","(4,2,2,2,2,2,1,1,1)",170170,167350,"exact",167350,167350],[6,17,"u","(4,2,2,2,2,1,1,1,1,1)",134640,133260,"exact",133260,133260],[6,17,"u","(4,2,2,2,1,1,1,1,1,1,1)",70720,70440,"exact",70440,70440],[6,17,"u","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[6,17,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[6,17,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[6,17,"u","(3,3,3,3,3,2)",87516,82518,"exact",82518,82518],[6,17,"u","(3,3,3,3,3,1,1)",136136,129155,"exact",129155,129155],[6,17,"u","(3,3,3,3,2,2,1)",243100,232285,"exact",232285,232285],[6,17,"u","(3,3,3,3,2,1,1,1)",272272,262132,"exact",262132,262132],[6,17,"u","(3,3,3,3,1,1,1,1,1)",129948,126498,"exact",126498,126498],[6,17,"u","(3,3,3,2,2,2,2)",121550,117605,"exact",117605,117605],[6,17,"u","(3,3,3,2,2,2,1,1)",272272,264508,"exact",264508,264508],[6,17,"u","(3,3,3,2,2,1,1,1,1)",247520,242210,"exact",242210,242210],[6,17,"u","(3,3,3,2,1,1,1,1,1,1)",129948,128282,"exact",128282,128282],[6,17,"u","(3,3,3,1,1,1,1,1,1,1,1)",35700,35525,"exact",35525,35525],[6,17,"u","(3,3,2,2,2,2,2,1)",116688,114732,"exact",114732,114732],[6,17,"u","(3,3,2,2,2,2,1,1,1)",159120,157050,"exact",157050,157050],[6,17,"u","(3,3,2,2,2,1,1,1,1,1)",123760,122780,"exact",122780,122780],[6,17,"u","(3,3,2,2,1,1,1,1,1,1,1)",62832,62643,"exact",62643,62643],[6,17,"u","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[6,17,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[6,17,"u","(3,2,2,2,2,2,2,2)",19448,19323,"exact",19323,19323],[6,17,"u","(3,2,2,2,2,2,2,1,1)",46410,46170,"exact",46170,46170],[6,17,"u","(3,2,2,2,2,2,1,1,1,1)",48620,48470,"exact",48470,48470],[6,17,"u","(3,2,2,2,2,1,1,1,1,1,1)",33320,33285,"exact",33285,33285],[6,17,"u","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[6,17,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[6,17,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[6,17,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[6,17,"u","(2,2,2,2,2,2,2,2,1)",4862,4857,"exact",4857,4857],[6,17,"u","(2,2,2,2,2,2,2,1,1,1)",7072,7068,"exact",7068,7068],[6,17,"u","(2,2,2,2,2,2,1,1,1,1,1)",6188,6187,"exact",6187,6187],[6,17,"u","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[6,17,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[6,17,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[6,17,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[6,17,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[6,17,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,18,"u","(18)",1,0,"exact",0,0],[6,18,"u","(17,1)",17,0,"exact",0,0],[6,18,"u","(16,2)",135,0,"exact",0,0],[6,18,"u","(16,1,1)",136,0,"exact",0,0],[6,18,"u","(15,3)",663,0,"exact",0,0],[6,18,"u","(15,2,1)",1344,0,"exact",0,0],[6,18,"u","(15,1,1,1)",680,0,"exact",0,0],[6,18,"u","(14,4)",2244,0,"exact",0,0],[6,18,"u","(14,3,1)",6885,0,"exact",0,0],[6,18,"u","(14,2,2)",4641,0,"exact",0,0],[6,18,"u","(14,2,1,1)",7020,0,"exact",0,0],[6,18,"u","(14,1,1,1,1)",2380,0,"exact",0,0],[6,18,"u","(13,5)",5508,0,"exact",0,0],[6,18,"u","(13,4,1)",22848,0,"exact",0,0],[6,18,"u","(13,3,2)",29172,0,"exact",0,0],[6,18,"u","(13,3,1,1)",35343,0,"exact",0,0],[6,18,"u","(13,2,2,1)",29835,0,"exact",0,0],[6,18,"u","(13,2,1,1,1)",24192,0,"exact",0,0],[6,18,"u","(13,1,1,1,1,1)",6188,0,"exact",0,0],[6,18,"u","(12,6)",9996,924,"exact",924,924],[6,18,"u","(12,5,1)",53040,4620,"exact",4620,4620],[6,18,"u","(12,4,2)",99144,8316,"exact",8316,8316],[6,18,"u","(12,4,1,1)",111384,9240,"exact",9240,9240],[6,18,"u","(12,3,3)",56100,4620,"exact",4620,4620],[6,18,"u","(12,3,2,1)",182784,14784,"exact",14784,14784],[6,18,"u","(12,3,1,1,1)",116025,9240,"exact",9240,9240],[6,18,"u","(12,2,2,2)",58344,4620,"exact",4620,4620],[6,18,"u","(12,2,2,1,1)",106029,8316,"exact",8316,8316],[6,18,"u","(12,2,1,1,1,1)",60060,4620,"exact",4620,4620],[6,18,"u","(12,1,1,1,1,1,1)",12376,924,"exact",924,924],[6,18,"u","(11,7)",13260,2640,"exact",2640,2640],[6,18,"u","(11,6,1)",88128,18612,"exact",18612,18612],[6,18,"u","(11,5,2)",219912,48048,"exact",48048,48048],[6,18,"u","(11,5,1,1)",238680,53460,"exact",53460,53460],[6,18,"u","(11,4,3)",228480,50820,"exact",50820,50820],[6,18,"u","(11,4,2,1)",583440,133980,"exact",133980,133980],[6,18,"u","(11,4,1,1,1)",339456,80520,"exact",80520,80520],[6,18,"u","(11,3,3,1)",358020,83160,"exact",83160,83160],[6,18,"u","(11,3,2,2)",363528,85932,"exact",85932,85932],[6,18,"u","(11,3,2,1,1)",612612,147840,"exact",147840,147840],[6,18,"u","(11,3,1,1,1,1)",268515,67320,"exact",67320,67320],[6,18,"u","(11,2,2,2,1)",251328,61908,"exact",61908,61908],[6,18,"u","(11,2,2,1,1,1)",255255,64680,"exact",64680,64680],[6,18,"u","(11,2,1,1,1,1,1)",112320,29700,"exact",29700,29700],[6,18,"u","(11,1,1,1,1,1,1,1)",19448,5412,"exact",5412,5412],[6,18,"u","(10,8)",11934,3321,"exact",3321,3321],[6,18,"u","(10,7,1)",102102,31983,"exact",31983,31983],[6,18,"u","(10,6,2)",331500,113250,"exact",113250,113250],[6,18,"u","(10,6,1,1)",353430,123795,"exact",123795,123795],[6,18,"u","(10,5,3)",501228,181062,"exact",181062,181062],[6,18,"u","(10,5,2,1)",1175040,441360,"exact",441360,441360],[6,18,"u","(10,5,1,1,1)",656370,255465,"exact",255465,255465],[6,18,"u","(10,4,4)",259896,96474,"exact",96474,96474],[6,18,"u","(10,4,3,1)",1349460,527940,"exact",527940,527940],[6,18,"u","(10,4,2,2)",1099560,441840,"exact",441840,441840],[6,18,"u","(10,4,2,1,1)",1790100,735480,"exact",735480,735480],[6,18,"u","(10,4,1,1,1,1)",714714,307335,"exact",307335,307335],[6,18,"u","(10,3,3,2)",848232,350028,"exact",350028,350028],[6,18,"u","(10,3,3,1,1)",1145664,483336,"exact",483336,483336],[6,18,"u","(10,3,2,2,1)",1458600,631680,"exact",631680,631680],[6,18,"u","(10,3,2,1,1,1)",1357824,607344,"exact",607344,607344],[6,18,"u","(10,3,1,1,1,1,1)",459459,217161,"exact",217161,217161],[6,18,"u","(10,2,2,2,2)",302940,137970,"exact",137970,137970],[6,18,"u","(10,2,2,2,1,1)",612612,284802,"exact",284802,284802],[6,18,"u","(10,2,2,1,1,1,1)",447525,216990,"exact",216990,216990],[6,18,"u","(10,2,1,1,1,1,1,1)",162162,83853,"exact",83853,83853],[6,18,"u","(10,1,1,1,1,1,1,1,1)",24310,13695,"exact",13695,13695],[6,18,"u","(9,9)",4862,1549,"exact",1549,1549],[6,18,"u","(9,8,1)",70720,26540,"exact",26540,26540],[6,18,"u","(9,7,2)",322218,136917,"exact",136917,136917],[6,18,"u","(9,7,1,1)",340340,147910,"exact",147910,147910],[6,18,"u","(9,6,3)",678912,314928,"exact",314928,314928],[6,18,"u","(9,6,2,1)",1531530,735945,"exact",735945,735945],[6,18,"u","(9,6,1,1,1)",837760,415520,"exact",415520,415520],[6,18,"u","(9,5,4)",649740,317520,"exact",317520,317520],[6,18,"u","(9,5,3,1)",2625480,1348650,"exact",1348650,1348650],[6,18,"u","(9,5,2,2)",1989000,1047000,"exact",1047000,1047000],[6,18,"u","(9,5,2,1,1)",3180870,1708245,"exact",1708245,1708245],[6,18,"u","(9,5,1,1,1,1)",1215500,679420,"exact",679420,679420],[6,18,"u","(9,4,4,1)",1429428,759066,"exact",759066,759066],[6,18,"u","(9,4,3,2)",2970240,1640100,"exact",1640100,1640100],[6,18,"u","(9,4,3,1,1)",3877632,2184264,"exact",2184264,2184264],[6,18,"u","(9,4,2,2,1)",3965760,2289060,"exact",2289060,2289060],[6,18,"u","(9,4,2,1,1,1)",3544398,2105271,"exact",2105271,2105271],[6,18,"u","(9,4,1,1,1,1,1)",1089088,678524,"exact",678524,678524],[6,18,"u","(9,3,3,3)",779688,449652,"exact",449652,449652],[6,18,"u","(9,3,3,2,1)",3198720,1903440,"exact",1903440,1903440],[6,18,"u","(9,3,3,1,1,1)",2333760,1429080,"exact",1429080,1429080],[6,18,"u","(9,3,2,2,2)",1649340,1016190,"exact",1016190,1016190],[6,18,"u","(9,3,2,2,1,1)",3222180,2022030,"exact",2022030,2022030],[6,18,"u","(9,3,2,1,1,1,1)",2144142,1395555,"exact",1395555,1395555],[6,18,"u","(9,3,1,1,1,1,1,1)",595595,409570,"exact",409570,409570],[6,18,"u","(9,2,2,2,2,1)",875160,577080,"exact",577080,577080],[6,18,"u","(9,2,2,2,1,1,1)",1018368,689448,"exact",689448,689448],[6,18,"u","(9,2,2,1,1,1,1,1)",590733,417807,"exact",417807,417807],[6,18,"u","(9,2,1,1,1,1,1,1,1)",183040,137720,"exact",137720,137720],[6,18,"u","(9,1,1,1,1,1,1,1,1,1)",24310,19855,"exact",19855,19855],[6,18,"u","(8,8,2)",136136,63364,"exact",63364,63364],[6,18,"u","(8,8,1,1)",143208,68076,"exact",68076,68076],[6,18,"u","(8,7,3)",510510,267015,"exact",267015,267015],[6,18,"u","(8,7,2,1)",1131520,611120,"exact",611120,611120],[6,18,"u","(8,7,1,1,1)",612612,340494,"exact",340494,340494],[6,18,"u","(8,6,4)",787644,444516,"exact",444516,444516],[6,18,"u","(8,6,3,1)",2923830,1725045,"exact",1725045,1725045],[6,18,"u","(8,6,2,2)",2148120,1294980,"exact",1294980,1294980],[6,18,"u","(8,6,2,1,1)",3403400,2088310,"exact",2088310,2088310],[6,18,"u","(8,6,1,1,1,1)",1272348,808416,"exact",808416,808416],[6,18,"u","(8,5,5)",408408,239316,"exact",239316,239316],[6,18,"u","(8,5,4,1)",3055104,1899168,"exact",1899168,1899168],[6,18,"u","(8,5,3,2)",5012280,3223500,"exact",3223500,3223500],[6,18,"u","(8,5,3,1,1)",6432426,4209597,"exact",4209597,4209597],[6,18,"u","(8,5,2,2,1)",6126120,4093320,"exact",4093320,4093320],[6,18,"u","(8,5,2,1,1,1)",5361664,3670688,"exact",3670688,3670688],[6,18,"u","(8,5,1,1,1,1,1)",1575288,1122156,"exact",1122156,1122156],[6,18,"u","(8,4,4,2)",3007368,1997016,"exact",1997016,1997016],[6,18,"u","(8,4,4,1,1)",3646500,2463750,"exact",2463750,2463750],[6,18,"u","(8,4,3,3)",2598960,1766940,"exact",1766940,1766940],[6,18,"u","(8,4,3,2,1)",9801792,6845664,"exact",6845664,6845664],[6,18,"u","(8,4,3,1,1,1)",6872250,4916625,"exact",4916625,4916625],[6,18,"u","(8,4,2,2,2)",3978000,2860500,"exact",2860500,2860500],[6,18,"u","(8,4,2,2,1,1)",7634088,5572476,"exact",5572476,5572476],[6,18,"u","(8,4,2,1,1,1,1)",4862000,3655540,"exact",3655540,3655540],[6,18,"u","(8,4,1,1,1,1,1,1)",1225224,961800,"exact",961800,961800],[6,18,"u","(8,3,3,3,1)",2858856,2073624,"exact",2073624,2073624],[6,18,"u","(8,3,3,2,2)",3508596,2591862,"exact",2591862,2591862],[6,18,"u","(8,3,3,2,1,1)",6361740,4770150,"exact",4770150,4770150],[6,18,"u","(8,3,3,1,1,1,1)",3281850,2534145,"exact",2534145,2534145],[6,18,"u","(8,3,2,2,2,1)",4230144,3262848,"exact",3262848,3262848],[6,18,"u","(8,3,2,2,1,1,1)",4725864,3720696,"exact",3720696,3720696],[6,18,"u","(8,3,2,1,1,1,1,1)",2489344,2026544,"exact",2026544,2026544],[6,18,"u","(8,3,1,1,1,1,1,1,1)",590733,503046,"exact",503046,503046],[6,18,"u","(8,2,2,2,2,2)",659736,533652,"exact",533652,533652],[6,18,"u","(8,2,2,2,2,1,1)",1432080,1172940,"exact",1172940,1172940],[6,18,"u","(8,2,2,2,1,1,1,1)",1225224,1028580,"exact",1028580,1028580],[6,18,"u","(8,2,2,1,1,1,1,1,1)",595595,518245,"exact",518245,518245],[6,18,"u","(8,2,1,1,1,1,1,1,1,1)",162162,147609,"exact",147609,147609],[6,18,"u","(8,1,1,1,1,1,1,1,1,1,1)",19448,18656,"exact",18656,18656],[6,18,"u","(7,7,4)",364650,218865,"exact",218865,218865],[6,18,"u","(7,7,3,1)",1312740,821220,"exact",821220,821220],[6,18,"u","(7,7,2,2)",952952,608188,"exact",608188,608188],[6,18,"u","(7,7,2,1,1)",1503684,975576,"exact",975576,975576],[6,18,"u","(7,7,1,1,1,1)",556920,373170,"exact",373170,373170],[6,18,"u","(7,6,5)",466752,297090,"exact",297090,297090],[6,18,"u","(7,6,4,1)",2756754,1850919,"exact",1850919,1850919],[6,18,"u","(7,6,3,2)",4200768,2907582,"exact",2907582,2907582],[6,18,"u","(7,6,3,1,1)",5346432,3759000,"exact",3759000,3759000],[6,18,"u","(7,6,2,2,1)",4950400,3545360,"exact",3545360,3545360],[6,18,"u","(7,6,2,1,1,1)",4288284,3138114,"exact",3138114,3138114],[6,18,"u","(7,6,1,1,1,1,1)",1233792,934920,"exact",934920,934920],[6,18,"u","(7,5,5,1)",1575288,1094496,"exact",1094496,1094496],[6,18,"u","(7,5,4,2)",5250960,3806520,"exact",3806520,3806520],[6,18,"u","(7,5,4,1,1)",6265350,4611705,"exact",4611705,4611705],[6,18,"u","(7,5,3,3)",3675672,2719248,"exact",2719248,2719248],[6,18,"u","(7,5,3,2,1)",13366080,10121370,"exact",10121370,10121370],[6,18,"u","(7,5,3,1,1,1)",9189180,7103250,"exact",7103250,7103250],[6,18,"u","(7,5,2,2,2)",5012280,3890880,"exact",3890880,3890880],[6,18,"u","(7,5,2,2,1,1)",9529520,7491820,"exact",7491820,7491820],[6,18,"u","(7,5,2,1,1,1,1)",5937624,4784976,"exact",4784976,4784976],[6,18,"u","(7,5,1,1,1,1,1,1)",1432080,1195740,"exact",1195740,1195740],[6,18,"u","(7,4,4,3)",2858856,2172996,"exact",2172996,2172996],[6,18,"u","(7,4,4,2,1)",8486400,6599820,"exact",6599820,6599820],[6,18,"u","(7,4,4,1,1,1)",5469750,4340325,"exact",4340325,4340325],[6,18,"u","(7,4,3,3,1)",8019648,6357120,"exact",6357120,6357120],[6,18,"u","(7,4,3,2,2)",9165312,7376244,"exact",7376244,7376244],[6,18,"u","(7,4,3,2,1,1)",16336320,13307910,"exact",13307910,13307910],[6,18,"u","(7,4,3,1,1,1,1)",8078400,6738540,"exact",6738540,6738540],[6,18,"u","(7,4,2,2,2,1)",8576568,7147056,"exact",7147056,7147056],[6,18,"u","(7,4,2,2,1,1,1)",9382912,7946960,"exact",7946960,7946960],[6,18,"u","(7,4,2,1,1,1,1,1)",4725864,4108044,"exact",4108044,4108044],[6,18,"u","(7,4,1,1,1,1,1,1,1)",1018368,915744,"exact",915744,915744],[6,18,"u","(7,3,3,3,2)",3508596,2909256,"exact",2909256,2909256],[6,18,"u","(7,3,3,3,1,1)",5105100,4282110,"exact",4282110,4282110],[6,18,"u","(7,3,3,2,2,1)",7876440,6699090,"exact",6699090,6699090],[6,18,"u","(7,3,3,2,1,1,1)",8078400,6978990,"exact",6978990,6978990],[6,18,"u","(7,3,3,1,1,1,1,1)",3281850,2906925,"exact",2906925,2906925],[6,18,"u","(7,3,2,2,2,2)",2784600,2432430,"exact",2432430,2432430],[6,18,"u","(7,3,2,2,2,1,1)",5937624,5235384,"exact",5235384,5235384],[6,18,"u","(7,3,2,2,1,1,1,1)",4862000,4364860,"exact",4364860,4364860],[6,18,"u","(7,3,2,1,1,1,1,1,1)",2144142,1974147,"exact",1974147,1974147],[6,18,"u","(7,3,1,1,1,1,1,1,1,1)",447525,424575,"exact",424575,424575],[6,18,"u","(7,2,2,2,2,2,1)",1233792,1123710,"exact",1123710,1123710],[6,18,"u","(7,2,2,2,2,1,1,1)",1575288,1451472,"exact",1451472,1451472],[6,18,"u","(7,2,2,2,1,1,1,1,1)",1089088,1021748,"exact",1021748,1021748],[6,18,"u","(7,2,2,1,1,1,1,1,1,1)",459459,440874,"exact",440874,440874],[6,18,"u","(7,2,1,1,1,1,1,1,1,1,1)",112320,110340,"exact",110340,110340],[6,18,"u","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[6,18,"u","(6,6,6)",87516,59425,"exact",59425,59425],[6,18,"u","(6,6,5,1)",1021020,738815,"exact",738815,738815],[6,18,"u","(6,6,4,2)",2756754,2074590,"exact",2074590,2074590],[6,18,"u","(6,6,4,1,1)",3267264,2493736,"exact",2493736,2493736],[6,18,"u","(6,6,3,3)",1823250,1397950,"exact",1397950,1397950],[6,18,"u","(6,6,3,2,1)",6534528,5118848,"exact",5118848,5118848],[6,18,"u","(6,6,3,1,1,1)",4455360,3556560,"exact",3556560,3556560],[6,18,"u","(6,6,2,2,2)",2382380,1909040,"exact",1909040,1909040],[6,18,"u","(6,6,2,2,1,1)",4511052,3656772,"exact",3656772,3656772],[6,18,"u","(6,6,2,1,1,1,1)",2784600,2308530,"exact",2308530,2308530],[6,18,"u","(6,6,1,1,1,1,1,1)",659736,564690,"exact",564690,564690],[6,18,"u","(6,5,5,2)",2042040,1581520,"exact",1581520,1581520],[6,18,"u","(6,5,5,1,1)",2362932,1855209,"exact",1855209,1855209],[6,18,"u","(6,5,4,3)",3734016,2975960,"exact",2975960,2975960],[6,18,"u","(6,5,4,2,1)",10720710,8719410,"exact",8719410,8719410],[6,18,"u","(6,5,4,1,1,1)",6789120,5620280,"exact",5620280,5620280],[6,18,"u","(6,5,3,3,1)",8270262,6839322,"exact",6839322,6839322],[6,18,"u","(6,5,3,2,2)",9189180,7700280,"exact",7700280,7700280],[6,18,"u","(6,5,3,2,1,1)",16243500,13755700,"exact",13755700,13755700],[6,18,"u","(6,5,3,1,1,1,1)",7876440,6807450,"exact",6807450,6807450],[6,18,"u","(6,5,2,2,2,1)",7920640,6839560,"exact",6839560,6839560],[6,18,"u","(6,5,2,2,1,1,1)",8576568,7509348,"exact",7509348,7509348],[6,18,"u","(6,5,2,1,1,1,1,1)",4230144,3786000,"exact",3786000,3786000],[6,18,"u","(6,5,1,1,1,1,1,1,1)",875160,805650,"exact",805650,805650],[6,18,"u","(6,4,4,4)",1021020,839665,"exact",839665,839665],[6,18,"u","(6,4,4,3,1)",7088796,5987079,"exact",5987079,5987079],[6,18,"u","(6,4,4,2,2)",6534528,5589156,"exact",5589156,5589156],[6,18,"u","(6,4,4,2,1,1)",11277630,9742635,"exact",9742635,9742635],[6,18,"u","(6,4,4,1,1,1,1)",5105100,4495960,"exact",4495960,4495960],[6,18,"u","(6,4,3,3,2)",7876440,6838575,"exact",6838575,6838575],[6,18,"u","(6,4,3,3,1,1)",11277630,9885330,"exact",9885330,9885330],[6,18,"u","(6,4,3,2,2,1)",16243500,14400225,"exact",14400225,14400225],[6,18,"u","(6,4,3,2,1,1,1)",16336320,14666960,"exact",14666960,14666960],[6,18,"u","(6,4,3,1,1,1,1,1)",6361740,5826240,"exact",5826240,5826240],[6,18,"u","(6,4,2,2,2,2)",4511052,4085739,"exact",4085739,4085739],[6,18,"u","(6,4,2,2,2,1,1)",9529520,8695400,"exact",8695400,8695400],[6,18,"u","(6,4,2,2,1,1,1,1)",7634088,7065072,"exact",7065072,7065072],[6,18,"u","(6,4,2,1,1,1,1,1,1)",3222180,3040380,"exact",3040380,3040380],[6,18,"u","(6,4,1,1,1,1,1,1,1,1)",612612,591066,"exact",591066,591066],[6,18,"u","(6,3,3,3,3)",1429428,1277053,"exact",1277053,1277053],[6,18,"u","(6,3,3,3,2,1)",6789120,6147560,"exact",6147560,6147560],[6,18,"u","(6,3,3,3,1,1,1)",5469750,5010400,"exact",5010400,5010400],[6,18,"u","(6,3,3,2,2,2)",4455360,4091440,"exact",4091440,4091440],[6,18,"u","(6,3,3,2,2,1,1)",9189180,8497125,"exact",8497125,8497125],[6,18,"u","(6,3,3,2,1,1,1,1)",6872250,6438075,"exact",6438075,6438075],[6,18,"u","(6,3,3,1,1,1,1,1,1)",2333760,2225160,"exact",2225160,2225160],[6,18,"u","(6,3,2,2,2,2,1)",4288284,4035311,"exact",4035311,4035311],[6,18,"u","(6,3,2,2,2,1,1,1)",5361664,5087600,"exact",5087600,5087600],[6,18,"u","(6,3,2,2,1,1,1,1,1)",3544398,3406113,"exact",3406113,3406113],[6,18,"u","(6,3,2,1,1,1,1,1,1,1)",1357824,1324704,"exact",1324704,1324704],[6,18,"u","(6,3,1,1,1,1,1,1,1,1,1)",255255,252735,"exact",252735,252735],[6,18,"u","(6,2,2,2,2,2,2)",556920,536005,"exact",536005,536005],[6,18,"u","(6,2,2,2,2,2,1,1)",1272348,1229718,"exact",1229718,1229718],[6,18,"u","(6,2,2,2,2,1,1,1,1)",1215500,1183930,"exact",1183930,1183930],[6,18,"u","(6,2,2,2,1,1,1,1,1,1)",714714,703059,"exact",703059,703059],[6,18,"u","(6,2,2,1,1,1,1,1,1,1,1)",268515,266715,"exact",266715,266715],[6,18,"u","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[6,18,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[6,18,"u","(5,5,5,3)",875160,724500,"exact",724500,724500],[6,18,"u","(5,5,5,2,1)",2333760,1967690,"exact",1967690,1967690],[6,18,"u","(5,5,5,1,1,1)",1429428,1224391,"exact",1224391,1224391],[6,18,"u","(5,5,4,4)",787644,663525,"exact",663525,663525],[6,18,"u","(5,5,4,3,1)",5105100,4406515,"exact",4406515,4406515],[6,18,"u","(5,5,4,2,2)",4594590,4011510,"exact",4011510,4011510],[6,18,"u","(5,5,4,2,1,1)",7876440,6939225,"exact",6939225,6939225],[6,18,"u","(5,5,4,1,1,1,1)",3508596,3145044,"exact",3145044,3145044],[6,18,"u","(5,5,3,3,2)",4594590,4065855,"exact",4065855,4065855],[6,18,"u","(5,5,3,3,1,1)",6534528,5832428,"exact",5832428,5832428],[6,18,"u","(5,5,3,2,2,1)",9189180,8285235,"exact",8285235,8285235],[6,18,"u","(5,5,3,2,1,1,1)",9165312,8357532,"exact",8357532,8357532],[6,18,"u","(5,5,3,1,1,1,1,1)",3508596,3256050,"exact",3256050,3256050],[6,18,"u","(5,5,2,2,2,2)",2382380,2189285,"exact",2189285,2189285],[6,18,"u","(5,5,2,2,2,1,1)",5012280,4636380,"exact",4636380,4636380],[6,18,"u","(5,5,2,2,1,1,1,1)",3978000,3725700,"exact",3725700,3725700],[6,18,"u","(5,5,2,1,1,1,1,1,1)",1649340,1571010,"exact",1571010,1571010],[6,18,"u","(5,5,1,1,1,1,1,1,1,1)",302940,294120,"exact",294120,294120],[6,18,"u","(5,4,4,4,1)",1867008,1651220,"exact",1651220,1651220],[6,18,"u","(5,4,4,3,2)",5105100,4589190,"exact",4589190,4589190],[6,18,"u","(5,4,4,3,1,1)",7088796,6423336,"exact",6423336,6423336],[6,18,"u","(5,4,4,2,2,1)",8270262,7564044,"exact",7564044,7564044],[6,18,"u","(5,4,4,2,1,1,1)",8019648,7411110,"exact",7411110,7411110],[6,18,"u","(5,4,4,1,1,1,1,1)",2858856,2684276,"exact",2684276,2684276],[6,18,"u","(5,4,3,3,3)",2333760,2133320,"exact",2133320,2133320],[6,18,"u","(5,4,3,3,2,1)",10720710,9912310,"exact",9912310,9912310],[6,18,"u","(5,4,3,3,1,1,1)",8486400,7922820,"exact",7922820,7922820],[6,18,"u","(5,4,3,2,2,2)",6534528,6113036,"exact",6113036,6113036],[6,18,"u","(5,4,3,2,2,1,1)",13366080,12575640,"exact",12575640,12575640],[6,18,"u","(5,4,3,2,1,1,1,1)",9801792,9321298,"exact",9321298,9321298],[6,18,"u","(5,4,3,1,1,1,1,1,1)",3198720,3085320,"exact",3085320,3085320],[6,18,"u","(5,4,2,2,2,2,1)",4950400,4724510,"exact",4724510,4724510],[6,18,"u","(5,4,2,2,2,1,1,1)",6126120,5886020,"exact",5886020,5886020],[6,18,"u","(5,4,2,2,1,1,1,1,1)",3965760,3848940,"exact",3848940,3848940],[6,18,"u","(5,4,2,1,1,1,1,1,1,1)",1458600,1432350,"exact",1432350,1432350],[6,18,"u","(5,4,1,1,1,1,1,1,1,1,1)",251328,249564,"exact",249564,249564],[6,18,"u","(5,3,3,3,3,1)",2362932,2227557,"exact",2227557,2227557],[6,18,"u","(5,3,3,3,2,2)",3267264,3099984,"exact",3099984,3099984],[6,18,"u","(5,3,3,3,2,1,1)",6265350,5974305,"exact",5974305,5974305],[6,18,"u","(5,3,3,3,1,1,1,1)",3646500,3509375,"exact",3509375,3509375],[6,18,"u","(5,3,3,2,2,2,1)",5346432,5143560,"exact",5143560,5143560],[6,18,"u","(5,3,3,2,2,1,1,1)",6432426,6225240,"exact",6225240,6225240],[6,18,"u","(5,3,3,2,1,1,1,1,1)",3877632,3785892,"exact",3785892,3785892],[6,18,"u","(5,3,3,1,1,1,1,1,1,1)",1145664,1129704,"exact",1129704,1129704],[6,18,"u","(5,3,2,2,2,2,2)",1503684,1465194,"exact",1465194,1465194],[6,18,"u","(5,3,2,2,2,2,1,1)",3403400,3326435,"exact",3326435,3326435],[6,18,"u","(5,3,2,2,2,1,1,1,1)",3180870,3126165,"exact",3126165,3126165],[6,18,"u","(5,3,2,2,1,1,1,1,1,1)",1790100,1771350,"exact",1771350,1771350],[6,18,"u","(5,3,2,1,1,1,1,1,1,1,1)",612612,610092,"exact",610092,610092],[6,18,"u","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[6,18,"u","(5,2,2,2,2,2,2,1)",612612,605357,"exact",605357,605357],[6,18,"u","(5,2,2,2,2,2,1,1,1)",837760,830060,"exact",830060,830060],[6,18,"u","(5,2,2,2,2,1,1,1,1,1)",656370,652695,"exact",652695,652695],[6,18,"u","(5,2,2,2,1,1,1,1,1,1,1)",339456,338736,"exact",338736,338736],[6,18,"u","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[6,18,"u","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[6,18,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[6,18,"u","(4,4,4,4,2)",787644,726912,"exact",726912,726912],[6,18,"u","(4,4,4,4,1,1)",1021020,948610,"exact",948610,948610],[6,18,"u","(4,4,4,3,3)",875160,814870,"exact",814870,814870],[6,18,"u","(4,4,4,3,2,1)",3734016,3510848,"exact",3510848,3510848],[6,18,"u","(4,4,4,3,1,1,1)",2858856,2710074,"exact",2710074,2710074],[6,18,"u","(4,4,4,2,2,2)",1823250,1731250,"exact",1731250,1731250],[6,18,"u","(4,4,4,2,2,1,1)",3675672,3506838,"exact",3506838,3506838],[6,18,"u","(4,4,4,2,1,1,1,1)",2598960,2501520,"exact",2501520,2501520],[6,18,"u","(4,4,4,1,1,1,1,1,1)",779688,759052,"exact",759052,759052],[6,18,"u","(4,4,3,3,3,1)",2042040,1942830,"exact",1942830,1942830],[6,18,"u","(4,4,3,3,2,2)",2756754,2637672,"exact",2637672,2637672],[6,18,"u","(4,4,3,3,2,1,1)",5250960,5046000,"exact",5046000,5046000],[6,18,"u","(4,4,3,3,1,1,1,1)",3007368,2913162,"exact",2913162,2913162],[6,18,"u","(4,4,3,2,2,2,1)",4200768,4067862,"exact",4067862,4067862],[6,18,"u","(4,4,3,2,2,1,1,1)",5012280,4878510,"exact",4878510,4878510],[6,18,"u","(4,4,3,2,1,1,1,1,1)",2970240,2912630,"exact",2912630,2912630],[6,18,"u","(4,4,3,1,1,1,1,1,1,1)",848232,838698,"exact",838698,838698],[6,18,"u","(4,4,2,2,2,2,2)",952952,932878,"exact",932878,932878],[6,18,"u","(4,4,2,2,2,2,1,1)",2148120,2108310,"exact",2108310,2108310],[6,18,"u","(4,4,2,2,2,1,1,1,1)",1989000,1961200,"exact",1961200,1961200],[6,18,"u","(4,4,2,2,1,1,1,1,1,1)",1099560,1090320,"exact",1090320,1090320],[6,18,"u","(4,4,2,1,1,1,1,1,1,1,1)",363528,362352,"exact",362352,362352],[6,18,"u","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[6,18,"u","(4,3,3,3,3,2)",1021020,989475,"exact",989475,989475],[6,18,"u","(4,3,3,3,3,1,1)",1575288,1531938,"exact",1531938,1531938],[6,18,"u","(4,3,3,3,2,2,1)",2756754,2691561,"exact",2691561,2691561],[6,18,"u","(4,3,3,3,2,1,1,1)",3055104,2995320,"exact",2995320,2995320],[6,18,"u","(4,3,3,3,1,1,1,1,1)",1429428,1409863,"exact",1409863,1409863],[6,18,"u","(4,3,3,2,2,2,2)",1312740,1290540,"exact",1290540,1290540],[6,18,"u","(4,3,3,2,2,2,1,1)",2923830,2880705,"exact",2880705,2880705],[6,18,"u","(4,3,3,2,2,1,1,1,1)",2625480,2596785,"exact",2596785,2596785],[6,18,"u","(4,3,3,2,1,1,1,1,1,1)",1349460,1340850,"exact",1340850,1340850],[6,18,"u","(4,3,3,1,1,1,1,1,1,1,1)",358020,357180,"exact",357180,357180],[6,18,"u","(4,3,2,2,2,2,2,1)",1131520,1121960,"exact",1121960,1121960],[6,18,"u","(4,3,2,2,2,2,1,1,1)",1531530,1521590,"exact",1521590,1521590],[6,18,"u","(4,3,2,2,2,1,1,1,1,1)",1175040,1170480,"exact",1170480,1170480],[6,18,"u","(4,3,2,2,1,1,1,1,1,1,1)",583440,582600,"exact",582600,582600],[6,18,"u","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[6,18,"u","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[6,18,"u","(4,2,2,2,2,2,2,2)",143208,142758,"exact",142758,142758],[6,18,"u","(4,2,2,2,2,2,2,1,1)",340340,339485,"exact",339485,339485],[6,18,"u","(4,2,2,2,2,2,1,1,1,1)",353430,352905,"exact",352905,352905],[6,18,"u","(4,2,2,2,2,1,1,1,1,1,1)",238680,238560,"exact",238560,238560],[6,18,"u","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[6,18,"u","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[6,18,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[6,18,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[6,18,"u","(3,3,3,3,3,3)",87516,85963,"exact",85963,85963],[6,18,"u","(3,3,3,3,3,2,1)",466752,460130,"exact",460130,460130],[6,18,"u","(3,3,3,3,3,1,1,1)",408408,403762,"exact",403762,403762],[6,18,"u","(3,3,3,3,2,2,2)",364650,360715,"exact",360715,360715],[6,18,"u","(3,3,3,3,2,2,1,1)",787644,780354,"exact",780354,780354],[6,18,"u","(3,3,3,3,2,1,1,1,1)",649740,645440,"exact",645440,645440],[6,18,"u","(3,3,3,3,1,1,1,1,1,1)",259896,258951,"exact",258951,258951],[6,18,"u","(3,3,3,2,2,2,2,1)",510510,507545,"exact",507545,507545],[6,18,"u","(3,3,3,2,2,2,1,1,1)",678912,675928,"exact",675928,675928],[6,18,"u","(3,3,3,2,2,1,1,1,1,1)",501228,499947,"exact",499947,499947],[6,18,"u","(3,3,3,2,1,1,1,1,1,1,1)",228480,228270,"exact",228270,228270],[6,18,"u","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[6,18,"u","(3,3,2,2,2,2,2,2)",136136,135806,"exact",135806,135806],[6,18,"u","(3,3,2,2,2,2,2,1,1)",322218,321597,"exact",321597,321597],[6,18,"u","(3,3,2,2,2,2,1,1,1,1)",331500,331125,"exact",331125,331125],[6,18,"u","(3,3,2,2,2,1,1,1,1,1,1)",219912,219828,"exact",219828,219828],[6,18,"u","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[6,18,"u","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[6,18,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[6,18,"u","(3,2,2,2,2,2,2,2,1)",70720,70690,"exact",70690,70690],[6,18,"u","(3,2,2,2,2,2,2,1,1,1)",102102,102078,"exact",102078,102078],[6,18,"u","(3,2,2,2,2,2,1,1,1,1,1)",88128,88122,"exact",88122,88122],[6,18,"u","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[6,18,"u","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[6,18,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[6,18,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[6,18,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[6,18,"u","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[6,18,"u","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[6,18,"u","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[6,18,"u","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[6,18,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[6,18,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[6,18,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[6,18,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[6,18,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[6,18,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,19,"u","(13,6)",15504,1716,"exact",1716,1716],[6,19,"u","(10,9)",16796,6634,"exact",6634,6634],[6,19,"u","(13,1,1,1,1,1,1)",18564,1716,"exact",1716,1716],[6,19,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,19,"u","(14,1,1,1,1,1)",8568,0,"exact",0,0],[6,19,"u","(14,5)",7752,0,"exact",0,0],[6,19,"u","(15,1,1,1,1)",3060,0,"exact",0,0],[6,19,"u","(15,2,1,1)",9044,0,"exact",0,0],[6,19,"u","(15,2,2)",5985,0,"exact",0,0],[6,19,"u","(15,3,1)",8892,0,"exact",0,0],[6,19,"u","(15,4)",2907,0,"exact",0,0],[6,19,"u","(16,1,1,1)",816,0,"exact",0,0],[6,19,"u","(16,2,1)",1615,0,"exact",0,0],[6,19,"u","(16,3)",798,0,"exact",0,0],[6,19,"u","(17,1,1)",153,0,"exact",0,0],[6,19,"u","(17,2)",152,0,"exact",0,0],[6,19,"u","(18,1)",18,0,"exact",0,0],[6,19,"u","(19)",1,0,"exact",0,0],[6,19,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[6,19,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",152,152,"exact",152,152],[6,19,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",798,798,"exact",798,798],[6,19,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",2907,2907,"exact",2907,2907],[6,19,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1)",7752,7752,"exact",7752,7752],[6,19,"u","(2,2,2,2,2,2,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[6,19,"u","(2,2,2,2,2,2,2,2,2,1)",16796,16796,"exact",16796,16796],[6,19,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[6,19,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1615,1615,"exact",1615,1615],[6,19,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",8892,8892,"exact",8892,8892],[6,19,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[6,19,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",816,816,"exact",816,816],[6,19,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",9044,9044,"exact",9044,9044],[6,19,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3060,3060,"exact",3060,3060],[6,19,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1)",8568,8568,"exact",8568,8568],[6,19,"u","(7,1,1,1,1,1,1,1,1,1,1,1,1)",18564,18564,"exact",18564,18564],[6,20,"u","(10,10)",16796,8398,"exact",8398,8398],[6,20,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,20,"u","(15,1,1,1,1,1)",11628,0,"exact",0,0],[6,20,"u","(15,5)",10659,0,"exact",0,0],[6,20,"u","(16,1,1,1,1)",3876,0,"exact",0,0],[6,20,"u","(16,2,1,1)",11475,0,"exact",0,0],[6,20,"u","(16,2,2)",7600,0,"exact",0,0],[6,20,"u","(16,3,1)",11305,0,"exact",0,0],[6,20,"u","(16,4)",3705,0,"exact",0,0],[6,20,"u","(17,1,1,1)",969,0,"exact",0,0],[6,20,"u","(17,2,1)",1920,0,"exact",0,0],[6,20,"u","(17,3)",950,0,"exact",0,0],[6,20,"u","(18,1,1)",171,0,"exact",0,0],[6,20,"u","(18,2)",170,0,"exact",0,0],[6,20,"u","(19,1)",19,0,"exact",0,0],[6,20,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[6,20,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",170,170,"exact",170,170],[6,20,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",950,950,"exact",950,950],[6,20,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",3705,3705,"exact",3705,3705],[6,20,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1)",10659,10659,"exact",10659,10659],[6,20,"u","(2,2,2,2,2,2,2,2,2,2)",16796,16796,"exact",16796,16796],[6,20,"u","(20)",1,0,"exact",0,0],[6,20,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",171,171,"exact",171,171],[6,20,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1920,1920,"exact",1920,1920],[6,20,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",11305,11305,"exact",11305,11305],[6,20,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7600,7600,"exact",7600,7600],[6,20,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",969,969,"exact",969,969],[6,20,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11475,11475,"exact",11475,11475],[6,20,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3876,3876,"exact",3876,3876],[6,20,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11628,11628,"exact",11628,11628],[6,21,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,21,"u","(16,1,1,1,1,1)",15504,0,"exact",0,0],[6,21,"u","(16,5)",14364,0,"exact",0,0],[6,21,"u","(17,1,1,1,1)",4845,0,"exact",0,0],[6,21,"u","(17,2,1,1)",14364,0,"exact",0,0],[6,21,"u","(17,2,2)",9520,0,"exact",0,0],[6,21,"u","(17,3,1)",14175,0,"exact",0,0],[6,21,"u","(17,4)",4655,0,"exact",0,0],[6,21,"u","(18,1,1,1)",1140,0,"exact",0,0],[6,21,"u","(18,2,1)",2261,0,"exact",0,0],[6,21,"u","(18,3)",1120,0,"exact",0,0],[6,21,"u","(19,1,1)",190,0,"exact",0,0],[6,21,"u","(19,2)",189,0,"exact",0,0],[6,21,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",20,20,"exact",20,20],[6,21,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",189,189,"exact",189,189],[6,21,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1120,1120,"exact",1120,1120],[6,21,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",4655,4655,"exact",4655,4655],[6,21,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[6,21,"u","(20,1)",20,0,"exact",0,0],[6,21,"u","(21)",1,0,"exact",0,0],[6,21,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",190,190,"exact",190,190],[6,21,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2261,2261,"exact",2261,2261],[6,21,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14175,14175,"exact",14175,14175],[6,21,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",9520,9520,"exact",9520,9520],[6,21,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1140,1140,"exact",1140,1140],[6,21,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14364,14364,"exact",14364,14364],[6,21,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4845,4845,"exact",4845,4845],[6,21,"u","(6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15504,15504,"exact",15504,15504],[6,22,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,22,"u","(17,5)",19019,0,"exact",0,0],[6,22,"u","(18,1,1,1,1)",5985,0,"exact",0,0],[6,22,"u","(18,2,1,1)",17765,0,"exact",0,0],[6,22,"u","(18,2,2)",11781,0,"exact",0,0],[6,22,"u","(18,3,1)",17556,0,"exact",0,0],[6,22,"u","(18,4)",5775,0,"exact",0,0],[6,22,"u","(19,1,1,1)",1330,0,"exact",0,0],[6,22,"u","(19,2,1)",2640,0,"exact",0,0],[6,22,"u","(19,3)",1309,0,"exact",0,0],[6,22,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",21,21,"exact",21,21],[6,22,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",209,209,"exact",209,209],[6,22,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1309,1309,"exact",1309,1309],[6,22,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5775,5775,"exact",5775,5775],[6,22,"u","(2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",19019,19019,"exact",19019,19019],[6,22,"u","(20,1,1)",210,0,"exact",0,0],[6,22,"u","(20,2)",209,0,"exact",0,0],[6,22,"u","(21,1)",21,0,"exact",0,0],[6,22,"u","(22)",1,0,"exact",0,0],[6,22,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",210,210,"exact",210,210],[6,22,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[6,22,"u","(3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17556,17556,"exact",17556,17556],[6,22,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",11781,11781,"exact",11781,11781],[6,22,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1330,1330,"exact",1330,1330],[6,22,"u","(4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17765,17765,"exact",17765,17765],[6,22,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5985,5985,"exact",5985,5985],[6,23,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,23,"u","(19,1,1,1,1)",7315,0,"exact",0,0],[6,23,"u","(19,2,2)",14421,0,"exact",0,0],[6,23,"u","(19,4)",7084,0,"exact",0,0],[6,23,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",22,22,"exact",22,22],[6,23,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",230,230,"exact",230,230],[6,23,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1518,1518,"exact",1518,1518],[6,23,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7084,7084,"exact",7084,7084],[6,23,"u","(20,1,1,1)",1540,0,"exact",0,0],[6,23,"u","(20,2,1)",3059,0,"exact",0,0],[6,23,"u","(20,3)",1518,0,"exact",0,0],[6,23,"u","(21,1,1)",231,0,"exact",0,0],[6,23,"u","(21,2)",230,0,"exact",0,0],[6,23,"u","(22,1)",22,0,"exact",0,0],[6,23,"u","(23)",1,0,"exact",0,0],[6,23,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",231,231,"exact",231,231],[6,23,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3059,3059,"exact",3059,3059],[6,23,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14421,14421,"exact",14421,14421],[6,23,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1540,1540,"exact",1540,1540],[6,23,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7315,7315,"exact",7315,7315],[6,24,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,24,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",23,23,"exact",23,23],[6,24,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",252,252,"exact",252,252],[6,24,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1748,1748,"exact",1748,1748],[6,24,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8602,8602,"exact",8602,8602],[6,24,"u","(20,1,1,1,1)",8855,0,"exact",0,0],[6,24,"u","(20,2,2)",17480,0,"exact",0,0],[6,24,"u","(20,4)",8602,0,"exact",0,0],[6,24,"u","(21,1,1,1)",1771,0,"exact",0,0],[6,24,"u","(21,2,1)",3520,0,"exact",0,0],[6,24,"u","(21,3)",1748,0,"exact",0,0],[6,24,"u","(22,1,1)",253,0,"exact",0,0],[6,24,"u","(22,2)",252,0,"exact",0,0],[6,24,"u","(23,1)",23,0,"exact",0,0],[6,24,"u","(24)",1,0,"exact",0,0],[6,24,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",253,253,"exact",253,253],[6,24,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3520,3520,"exact",3520,3520],[6,24,"u","(3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17480,17480,"exact",17480,17480],[6,24,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1771,1771,"exact",1771,1771],[6,24,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8855,8855,"exact",8855,8855],[6,25,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,25,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",24,24,"exact",24,24],[6,25,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",275,275,"exact",275,275],[6,25,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2000,2000,"exact",2000,2000],[6,25,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10350,10350,"exact",10350,10350],[6,25,"u","(21,1,1,1,1)",10626,0,"exact",0,0],[6,25,"u","(21,4)",10350,0,"exact",0,0],[6,25,"u","(22,1,1,1)",2024,0,"exact",0,0],[6,25,"u","(22,2,1)",4025,0,"exact",0,0],[6,25,"u","(22,3)",2000,0,"exact",0,0],[6,25,"u","(23,1,1)",276,0,"exact",0,0],[6,25,"u","(23,2)",275,0,"exact",0,0],[6,25,"u","(24,1)",24,0,"exact",0,0],[6,25,"u","(25)",1,0,"exact",0,0],[6,25,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",276,276,"exact",276,276],[6,25,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4025,4025,"exact",4025,4025],[6,25,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2024,2024,"exact",2024,2024],[6,25,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",10626,10626,"exact",10626,10626],[6,26,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,26,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",25,25,"exact",25,25],[6,26,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",299,299,"exact",299,299],[6,26,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2275,2275,"exact",2275,2275],[6,26,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12350,12350,"exact",12350,12350],[6,26,"u","(22,1,1,1,1)",12650,0,"exact",0,0],[6,26,"u","(22,4)",12350,0,"exact",0,0],[6,26,"u","(23,1,1,1)",2300,0,"exact",0,0],[6,26,"u","(23,2,1)",4576,0,"exact",0,0],[6,26,"u","(23,3)",2275,0,"exact",0,0],[6,26,"u","(24,1,1)",300,0,"exact",0,0],[6,26,"u","(24,2)",299,0,"exact",0,0],[6,26,"u","(25,1)",25,0,"exact",0,0],[6,26,"u","(26)",1,0,"exact",0,0],[6,26,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",300,300,"exact",300,300],[6,26,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4576,4576,"exact",4576,4576],[6,26,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2300,2300,"exact",2300,2300],[6,26,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",12650,12650,"exact",12650,12650],[6,27,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,27,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",26,26,"exact",26,26],[6,27,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",324,324,"exact",324,324],[6,27,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2574,2574,"exact",2574,2574],[6,27,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14625,14625,"exact",14625,14625],[6,27,"u","(23,1,1,1,1)",14950,0,"exact",0,0],[6,27,"u","(23,4)",14625,0,"exact",0,0],[6,27,"u","(24,1,1,1)",2600,0,"exact",0,0],[6,27,"u","(24,2,1)",5175,0,"exact",0,0],[6,27,"u","(24,3)",2574,0,"exact",0,0],[6,27,"u","(25,1,1)",325,0,"exact",0,0],[6,27,"u","(25,2)",324,0,"exact",0,0],[6,27,"u","(26,1)",26,0,"exact",0,0],[6,27,"u","(27)",1,0,"exact",0,0],[6,27,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",325,325,"exact",325,325],[6,27,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5175,5175,"exact",5175,5175],[6,27,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2600,2600,"exact",2600,2600],[6,27,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",14950,14950,"exact",14950,14950],[6,28,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,28,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",27,27,"exact",27,27],[6,28,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[6,28,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2898,2898,"exact",2898,2898],[6,28,"u","(2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17199,17199,"exact",17199,17199],[6,28,"u","(24,1,1,1,1)",17550,0,"exact",0,0],[6,28,"u","(24,4)",17199,0,"exact",0,0],[6,28,"u","(25,1,1,1)",2925,0,"exact",0,0],[6,28,"u","(25,2,1)",5824,0,"exact",0,0],[6,28,"u","(25,3)",2898,0,"exact",0,0],[6,28,"u","(26,1,1)",351,0,"exact",0,0],[6,28,"u","(26,2)",350,0,"exact",0,0],[6,28,"u","(27,1)",27,0,"exact",0,0],[6,28,"u","(28)",1,0,"exact",0,0],[6,28,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",351,351,"exact",351,351],[6,28,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",5824,5824,"exact",5824,5824],[6,28,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[6,28,"u","(5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17550,17550,"exact",17550,17550],[6,29,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,29,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",28,28,"exact",28,28],[6,29,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",377,377,"exact",377,377],[6,29,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3248,3248,"exact",3248,3248],[6,29,"u","(26,1,1,1)",3276,0,"exact",0,0],[6,29,"u","(26,2,1)",6525,0,"exact",0,0],[6,29,"u","(26,3)",3248,0,"exact",0,0],[6,29,"u","(27,1,1)",378,0,"exact",0,0],[6,29,"u","(27,2)",377,0,"exact",0,0],[6,29,"u","(28,1)",28,0,"exact",0,0],[6,29,"u","(29)",1,0,"exact",0,0],[6,29,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",378,378,"exact",378,378],[6,29,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",6525,6525,"exact",6525,6525],[6,29,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3276,3276,"exact",3276,3276],[6,30,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,30,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",29,29,"exact",29,29],[6,30,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",405,405,"exact",405,405],[6,30,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3625,3625,"exact",3625,3625],[6,30,"u","(27,1,1,1)",3654,0,"exact",0,0],[6,30,"u","(27,2,1)",7280,0,"exact",0,0],[6,30,"u","(27,3)",3625,0,"exact",0,0],[6,30,"u","(28,1,1)",406,0,"exact",0,0],[6,30,"u","(28,2)",405,0,"exact",0,0],[6,30,"u","(29,1)",29,0,"exact",0,0],[6,30,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",406,406,"exact",406,406],[6,30,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",7280,7280,"exact",7280,7280],[6,30,"u","(30)",1,0,"exact",0,0],[6,30,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",3654,3654,"exact",3654,3654],[6,31,"u","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[6,31,"u","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",30,30,"exact",30,30],[6,31,"u","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",434,434,"exact",434,434],[6,31,"u","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4030,4030,"exact",4030,4030],[6,31,"u","(28,1,1,1)",4060,0,"exact",0,0],[6,31,"u","(28,2,1)",8091,0,"exact",0,0],[6,31,"u","(28,3)",4030,0,"exact",0,0],[6,31,"u","(29,1,1)",435,0,"exact",0,0],[6,31,"u","(29,2)",434,0,"exact",0,0],[6,31,"u","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",435,435,"exact",435,435],[6,31,"u","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",8091,8091,"exact",8091,8091],[6,31,"u","(30,1)",30,0,"exact",0,0],[6,31,"u","(31)",1,0,"exact",0,0],[6,31,"u","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",4060,4060,"exact",4060,4060]]}