{"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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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]]}