{"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. 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1,1)",385,320,"exact",320,320],[3,11,"f","(3,3,2,1,1,1)",990,715,"exact",715,715],[3,11,"f","(3,3,2,2,1)",990,636,"exact",636,636],[3,11,"f","(3,3,3,1,1)",660,407,"exact",407,407],[3,11,"f","(3,3,3,2)",462,270,"exact",270,270],[3,11,"f","(4,1,1,1,1,1,1,1)",120,108,"exact",108,108],[3,11,"f","(4,2,1,1,1,1,1)",594,483,"exact",483,483],[3,11,"f","(4,2,2,1,1,1)",1232,865,"exact",865,865],[3,11,"f","(4,2,2,2,1)",1155,710,"exact",710,710],[3,11,"f","(4,3,1,1,1,1)",1100,764,"exact",764,764],[3,11,"f","(4,3,2,1,1)",2310,1347,"exact",1347,1347],[3,11,"f","(4,3,2,2)",1320,704,"exact",704,704],[3,11,"f","(4,3,3,1)",1188,597,"exact",597,597],[3,11,"f","(4,4,1,1,1)",825,456,"exact",456,456],[3,11,"f","(4,4,2,1)",1320,626,"exact",626,626],[3,11,"f","(4,4,3)",462,191,"exact",191,191],[3,11,"f","(5,1,1,1,1,1,1)",210,168,"exact",168,168],[3,11,"f","(5,2,1,1,1,1)",924,611,"exact",611,611],[3,11,"f","(5,2,2,1,1)",1540,829,"exact",829,829],[3,11,"f","(5,2,2,2)",825,399,"exact",399,399],[3,11,"f","(5,3,1,1,1)",1540,795,"exact",795,795],[3,11,"f","(5,3,2,1)",2310,1006,"exact",1006,1006],[3,11,"f","(5,3,3)",660,251,"exact",251,251],[3,11,"f","(5,4,1,1)",1155,459,"exact",459,459],[3,11,"f","(5,4,2)",990,347,"exact",347,347],[3,11,"f","(5,5,1)",330,99,"exact",99,99],[3,11,"f","(6,1,1,1,1,1)",252,155,"exact",155,155],[3,11,"f","(6,2,1,1,1)",924,415,"exact",415,415],[3,11,"f","(6,2,2,1)",1100,402,"exact",402,402],[3,11,"f","(6,3,1,1)",1232,413,"exact",413,413],[3,11,"f","(6,3,2)",990,290,"exact",290,290],[3,11,"f","(6,4,1)",693,183,"exact",183,183],[3,11,"f","(6,5)",132,28,"exact",28,28],[3,11,"f","(7,1,1,1,1)",210,69,"exact",69,69],[3,11,"f","(7,2,1,1)",594,142,"exact",142,142],[3,11,"f","(7,2,2)",385,82,"exact",82,82],[3,11,"f","(7,3,1)",550,104,"exact",104,104],[3,11,"f","(7,4)",165,28,"exact",28,28],[3,11,"f","(8,1,1,1)",120,10,"exact",10,10],[3,11,"f","(8,2,1)",231,20,"exact",20,20],[3,11,"f","(8,3)",110,10,"exact",10,10],[3,11,"f","(9,1,1)",45,0,"exact",0,0],[3,11,"f","(9,2)",44,0,"exact",0,0],[3,11,"f","(10,1)",10,0,"exact",0,0],[3,11,"f","(11)",1,0,"exact",0,0],[3,12,"f","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"f","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[3,12,"f","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[3,12,"f","(2,2,2,1,1,1,1,1,1)",154,151,"exact",151,151],[3,12,"f","(2,2,2,2,1,1,1,1)",275,259,"exact",259,259],[3,12,"f","(2,2,2,2,2,1,1)",297,270,"exact",270,270],[3,12,"f","(2,2,2,2,2,2)",132,114,"exact",114,114],[3,12,"f","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[3,12,"f","(3,2,1,1,1,1,1,1,1)",320,315,"exact",315,315],[3,12,"f","(3,2,2,1,1,1,1,1)",891,844,"exact",844,844],[3,12,"f","(3,2,2,2,1,1,1)",1408,1275,"exact",1275,1275],[3,12,"f","(3,2,2,2,2,1)",1155,999,"exact",999,999],[3,12,"f","(3,3,1,1,1,1,1,1)",616,584,"exact",584,584],[3,12,"f","(3,3,2,1,1,1,1)",1925,1742,"exact",1742,1742],[3,12,"f","(3,3,2,2,1,1)",2673,2271,"exact",2271,2271],[3,12,"f","(3,3,2,2,2)",1320,1083,"exact",1083,1083],[3,12,"f","(3,3,3,1,1,1)",1650,1391,"exact",1391,1391],[3,12,"f","(3,3,3,2,1)",2112,1678,"exact",1678,1678],[3,12,"f","(3,3,3,3)",462,352,"exact",352,352],[3,12,"f","(4,1,1,1,1,1,1,1,1)",165,162,"exact",162,162],[3,12,"f","(4,2,1,1,1,1,1,1)",945,895,"exact",895,895],[3,12,"f","(4,2,2,1,1,1,1)",2376,2127,"exact",2127,2127],[3,12,"f","(4,2,2,2,1,1)",3080,2587,"exact",2587,2587],[3,12,"f","(4,2,2,2,2)",1485,1187,"exact",1187,1187],[3,12,"f","(4,3,1,1,1,1,1)",2079,1861,"exact",1861,1861],[3,12,"f","(4,3,2,1,1,1)",5632,4652,"exact",4652,4652],[3,12,"f","(4,3,2,2,1)",5775,4459,"exact",4459,4459],[3,12,"f","(4,3,3,1,1)",4158,3128,"exact",3128,3128],[3,12,"f","(4,3,3,2)",2970,2138,"exact",2138,2138],[3,12,"f","(4,4,1,1,1,1)",1925,1558,"exact",1558,1558],[3,12,"f","(4,4,2,1,1)",4455,3288,"exact",3288,3288],[3,12,"f","(4,4,2,2)",2640,1839,"exact",1839,1839],[3,12,"f","(4,4,3,1)",2970,1997,"exact",1997,1997],[3,12,"f","(4,4,4)",462,280,"exact",280,280],[3,12,"f","(5,1,1,1,1,1,1,1)",330,308,"exact",308,308],[3,12,"f","(5,2,1,1,1,1,1)",1728,1521,"exact",1521,1521],[3,12,"f","(5,2,2,1,1,1)",3696,2963,"exact",2963,2963],[3,12,"f","(5,2,2,2,1)",3520,2604,"exact",2604,2604],[3,12,"f","(5,3,1,1,1,1)",3564,2832,"exact",2832,2832],[3,12,"f","(5,3,2,1,1)",7700,5482,"exact",5482,5482],[3,12,"f","(5,3,2,2)",4455,2994,"exact",2994,2994],[3,12,"f","(5,3,3,1)",4158,2673,"exact",2673,2673],[3,12,"f","(5,4,1,1,1)",3520,2410,"exact",2410,2410],[3,12,"f","(5,4,2,1)",5775,3583,"exact",3583,3583],[3,12,"f","(5,4,3)",2112,1195,"exact",1195,1195],[3,12,"f","(5,5,1,1)",1485,844,"exact",844,844],[3,12,"f","(5,5,2)",1320,698,"exact",698,698],[3,12,"f","(6,1,1,1,1,1,1)",462,396,"exact",396,396],[3,12,"f","(6,2,1,1,1,1)",2100,1581,"exact",1581,1581],[3,12,"f","(6,2,2,1,1)",3564,2348,"exact",2348,2348],[3,12,"f","(6,2,2,2)",1925,1176,"exact",1176,1176],[3,12,"f","(6,3,1,1,1)",3696,2359,"exact",2359,2359],[3,12,"f","(6,3,2,1)",5632,3207,"exact",3207,3207],[3,12,"f","(6,3,3)",1650,852,"exact",852,852],[3,12,"f","(6,4,1,1)",3080,1643,"exact",1643,1643],[3,12,"f","(6,4,2)",2673,1308,"exact",1308,1308],[3,12,"f","(6,5,1)",1155,508,"exact",508,508],[3,12,"f","(6,6)",132,47,"exact",47,47],[3,12,"f","(7,1,1,1,1,1)",462,319,"exact",319,319],[3,12,"f","(7,2,1,1,1)",1728,957,"exact",957,957],[3,12,"f","(7,2,2,1)",2079,1000,"exact",1000,1000],[3,12,"f","(7,3,1,1)",2376,1072,"exact",1072,1072],[3,12,"f","(7,3,2)",1925,792,"exact",792,792],[3,12,"f","(7,4,1)",1408,534,"exact",534,534],[3,12,"f","(7,5)",297,97,"exact",97,97],[3,12,"f","(8,1,1,1,1)",330,133,"exact",133,133],[3,12,"f","(8,2,1,1)",945,305,"exact",305,305],[3,12,"f","(8,2,2)",616,182,"exact",182,182],[3,12,"f","(8,3,1)",891,243,"exact",243,243],[3,12,"f","(8,4)",275,68,"exact",68,68],[3,12,"f","(9,1,1,1)",165,20,"exact",20,20],[3,12,"f","(9,2,1)",320,40,"exact",40,40],[3,12,"f","(9,3)",154,20,"exact",20,20],[3,12,"f","(10,1,1)",55,0,"exact",0,0],[3,12,"f","(10,2)",54,0,"exact",0,0],[3,12,"f","(11,1)",11,0,"exact",0,0],[3,12,"f","(12)",1,0,"exact",0,0],[3,13,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"f","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[3,13,"f","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[3,13,"f","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[3,13,"f","(2,2,2,2,1,1,1,1,1)",429,425,"exact",425,425],[3,13,"f","(2,2,2,2,2,1,1,1)",572,557,"exact",557,557],[3,13,"f","(2,2,2,2,2,2,1)",429,410,"exact",410,410],[3,13,"f","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[3,13,"f","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"f","(3,2,2,1,1,1,1,1,1)",1365,1354,"exact",1354,1354],[3,13,"f","(3,2,2,2,1,1,1,1)",2574,2510,"exact",2510,2510],[3,13,"f","(3,2,2,2,2,1,1)",2860,2736,"exact",2736,2736],[3,13,"f","(3,2,2,2,2,2)",1287,1211,"exact",1211,1211],[3,13,"f","(3,3,1,1,1,1,1,1,1)",936,928,"exact",928,928],[3,13,"f","(3,3,2,1,1,1,1,1)",3432,3350,"exact",3350,3350],[3,13,"f","(3,3,2,2,1,1,1)",6006,5725,"exact",5725,5725],[3,13,"f","(3,3,2,2,2,1)",5148,4796,"exact",4796,4796],[3,13,"f","(3,3,3,1,1,1,1)",3575,3405,"exact",3405,3405],[3,13,"f","(3,3,3,2,1,1)",6435,5937,"exact",5937,5937],[3,13,"f","(3,3,3,2,2)",3432,3107,"exact",3107,3107],[3,13,"f","(3,3,3,3,1)",2574,2299,"exact",2299,2299],[3,13,"f","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[3,13,"f","(4,2,1,1,1,1,1,1,1)",1430,1419,"exact",1419,1419],[3,13,"f","(4,2,2,1,1,1,1,1)",4212,4102,"exact",4102,4102],[3,13,"f","(4,2,2,2,1,1,1)",6864,6520,"exact",6520,6520],[3,13,"f","(4,2,2,2,2,1)",5720,5297,"exact",5297,5297],[3,13,"f","(4,3,1,1,1,1,1,1)",3640,3546,"exact",3546,3546],[3,13,"f","(4,3,2,1,1,1,1)",12012,11375,"exact",11375,11375],[3,13,"f","(4,3,2,2,1,1)",17160,15701,"exact",15701,15701],[3,13,"f","(4,3,2,2,2)",8580,7673,"exact",7673,7673],[3,13,"f","(4,3,3,1,1,1)",11440,10389,"exact",10389,10389],[3,13,"f","(4,3,3,2,1)",15015,13172,"exact",13172,13172],[3,13,"f","(4,3,3,3)",3432,2920,"exact",2920,2920],[3,13,"f","(4,4,1,1,1,1,1)",4004,3773,"exact",3773,3773],[3,13,"f","(4,4,2,1,1,1)",12012,10836,"exact",10836,10836],[3,13,"f","(4,4,2,2,1)",12870,11177,"exact",11177,11177],[3,13,"f","(4,4,3,1,1)",11583,9907,"exact",9907,9907],[3,13,"f","(4,4,3,2)",8580,7126,"exact",7126,7126],[3,13,"f","(4,4,4,1)",3432,2765,"exact",2765,2765],[3,13,"f","(5,1,1,1,1,1,1,1,1)",495,489,"exact",489,489],[3,13,"f","(5,2,1,1,1,1,1,1)",3003,2913,"exact",2913,2913],[3,13,"f","(5,2,2,1,1,1,1)",7800,7321,"exact",7321,7321],[3,13,"f","(5,2,2,2,1,1)",10296,9292,"exact",9292,9292],[3,13,"f","(5,2,2,2,2)",5005,4391,"exact",4391,4391],[3,13,"f","(5,3,1,1,1,1,1)",7371,6911,"exact",6911,6911],[3,13,"f","(5,3,2,1,1,1)",20592,18369,"exact",18369,18369],[3,13,"f","(5,3,2,2,1)",21450,18343,"exact",18343,18343],[3,13,"f","(5,3,3,1,1)",16016,13460,"exact",13460,13460],[3,13,"f","(5,3,3,2)",11583,9440,"exact",9440,9440],[3,13,"f","(5,4,1,1,1,1)",9009,7936,"exact",7936,7936],[3,13,"f","(5,4,2,1,1)",21450,17786,"exact",17786,17786],[3,13,"f","(5,4,2,2)",12870,10297,"exact",10297,10297],[3,13,"f","(5,4,3,1)",15015,11696,"exact",11696,11696],[3,13,"f","(5,4,4)",2574,1876,"exact",1876,1876],[3,13,"f","(5,5,1,1,1)",5005,4004,"exact",4004,4004],[3,13,"f","(5,5,2,1)",8580,6459,"exact",6459,6459],[3,13,"f","(5,5,3)",3432,2434,"exact",2434,2434],[3,13,"f","(6,1,1,1,1,1,1,1)",792,759,"exact",759,759],[3,13,"f","(6,2,1,1,1,1,1)",4290,3957,"exact",3957,3957],[3,13,"f","(6,2,2,1,1,1)",9360,8126,"exact",8126,8126],[3,13,"f","(6,2,2,2,1)",9009,7418,"exact",7418,7418],[3,13,"f","(6,3,1,1,1,1)",9360,8061,"exact",8061,8061],[3,13,"f","(6,3,2,1,1)",20592,16503,"exact",16503,16503],[3,13,"f","(6,3,2,2)",12012,9241,"exact",9241,9241],[3,13,"f","(6,3,3,1)",11440,8539,"exact",8539,8539],[3,13,"f","(6,4,1,1,1)",10296,8023,"exact",8023,8023],[3,13,"f","(6,4,2,1)",17160,12497,"exact",12497,12497],[3,13,"f","(6,4,3)",6435,4393,"exact",4393,4393],[3,13,"f","(6,5,1,1)",5720,3926,"exact",3926,3926],[3,13,"f","(6,5,2)",5148,3349,"exact",3349,3349],[3,13,"f","(6,6,1)",1287,759,"exact",759,759],[3,13,"f","(7,1,1,1,1,1,1)",924,829,"exact",829,829],[3,13,"f","(7,2,1,1,1,1)",4290,3516,"exact",3516,3516],[3,13,"f","(7,2,2,1,1)",7371,5505,"exact",5505,5505],[3,13,"f","(7,2,2,2)",4004,2838,"exact",2838,2838],[3,13,"f","(7,3,1,1,1)",7800,5688,"exact",5688,5688],[3,13,"f","(7,3,2,1)",12012,8078,"exact",8078,8078],[3,13,"f","(7,3,3)",3575,2235,"exact",2235,2235],[3,13,"f","(7,4,1,1)",6864,4392,"exact",4392,4392],[3,13,"f","(7,4,2)",6006,3618,"exact",3618,3618],[3,13,"f","(7,5,1)",2860,1590,"exact",1590,1590],[3,13,"f","(7,6)",429,206,"exact",206,206],[3,13,"f","(8,1,1,1,1,1)",792,593,"exact",593,593],[3,13,"f","(8,2,1,1,1)",3003,1915,"exact",1915,1915],[3,13,"f","(8,2,2,1)",3640,2093,"exact",2093,2093],[3,13,"f","(8,3,1,1)",4212,2309,"exact",2309,2309],[3,13,"f","(8,3,2)",3432,1755,"exact",1755,1755],[3,13,"f","(8,4,1)",2574,1233,"exact",1233,1233],[3,13,"f","(8,5)",572,243,"exact",243,243],[3,13,"f","(9,1,1,1,1)",495,233,"exact",233,233],[3,13,"f","(9,2,1,1)",1430,568,"exact",568,568],[3,13,"f","(9,2,2)",936,348,"exact",348,348],[3,13,"f","(9,3,1)",1365,476,"exact",476,476],[3,13,"f","(9,4)",429,138,"exact",138,138],[3,13,"f","(10,1,1,1)",220,35,"exact",35,35],[3,13,"f","(10,2,1)",429,70,"exact",70,70],[3,13,"f","(10,3)",208,35,"exact",35,35],[3,13,"f","(11,1,1)",66,0,"exact",0,0],[3,13,"f","(11,2)",65,0,"exact",0,0],[3,13,"f","(12,1)",12,0,"exact",0,0],[3,13,"f","(13)",1,0,"exact",0,0],[3,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[3,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[3,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[3,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[3,14,"f","(2,2,2,2,2,1,1,1,1)",1001,997,"exact",997,997],[3,14,"f","(2,2,2,2,2,2,1,1)",1001,990,"exact",990,990],[3,14,"f","(2,2,2,2,2,2,2)",429,420,"exact",420,420],[3,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[3,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,14,"f","(3,2,2,2,1,1,1,1,1)",4368,4146,"lower bound",4146,4353],[3,14,"f","(3,2,2,2,2,1,1,1)",6006,5296,"lower bound",5296,5942],[3,14,"f","(3,2,2,2,2,2,1)",4576,4096,"lower bound",4096,4494],[3,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,14,"f","(3,3,2,1,1,1,1,1,1)",5733,5710,"lower bound",5710,5714],[3,14,"f","(3,3,2,2,1,1,1,1)",12012,10432,"lower bound",10432,11888],[3,14,"f","(3,3,2,2,2,1,1)",14014,11311,"lower bound",11311,13887],[3,14,"f","(3,3,2,2,2,2)",6435,5176,"lower bound",5176,6264],[3,14,"f","(3,3,3,1,1,1,1,1)",7007,6749,"lower bound",6749,6931],[3,14,"f","(3,3,3,2,1,1,1)",16016,12977,"lower bound",12977,15779],[3,14,"f","(3,3,3,2,2,1)",15015,11990,"lower bound",11990,14517],[3,14,"f","(3,3,3,3,1,1)",9009,6727,"lower bound",6727,8721],[3,14,"f","(3,3,3,3,2)",6006,5023,"lower bound",5023,5726],[3,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[3,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[3,14,"f","(4,2,2,1,1,1,1,1,1)",7007,6972,"lower bound",6972,6983],[3,14,"f","(4,2,2,2,1,1,1,1)",13650,11791,"lower bound",11791,13492],[3,14,"f","(4,2,2,2,2,1,1)",15444,11924,"lower bound",11924,15156],[3,14,"f","(4,2,2,2,2,2)",7007,5176,"lower bound",5176,6805],[3,14,"f","(4,3,1,1,1,1,1,1,1)",6006,5977,"lower bound",5977,5985],[3,14,"f","(4,3,2,1,1,1,1,1)",23296,20362,"lower bound",20362,23133],[3,14,"f","(4,3,2,2,1,1,1)",42042,30485,"lower bound",30485,41660],[3,14,"f","(4,3,2,2,2,1)",36608,24547,"lower bound",24547,35958],[3,14,"f","(4,3,3,1,1,1,1)",27027,20129,"lower bound",20129,26808],[3,14,"f","(4,3,3,2,1,1)",50050,32405,"lower bound",32405,49127],[3,14,"f","(4,3,3,2,2)",27027,17811,"lower bound",17811,26321],[3,14,"f","(4,3,3,3,1)",21021,14105,"lower bound",14105,20368],[3,14,"f","(4,4,1,1,1,1,1,1)",7644,7309,"lower bound",7309,7553],[3,14,"f","(4,4,2,1,1,1,1)",28028,20733,"lower bound",20733,27752],[3,14,"f","(4,4,2,2,1,1)",42042,25647,"lower bound",25647,41190],[3,14,"f","(4,4,2,2,2)",21450,12518,"lower bound",12518,20809],[3,14,"f","(4,4,3,1,1,1)",35035,21589,"lower bound",21589,34247],[3,14,"f","(4,4,3,2,1)",48048,28261,"lower bound",28261,46328],[3,14,"f","(4,4,3,3)",12012,8092,"lower bound",8092,10996],[3,14,"f","(4,4,4,1,1)",15015,9391,"lower bound",9391,13847],[3,14,"f","(4,4,4,2)",12012,7978,"lower bound",7978,10888],[3,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,14,"f","(5,2,1,1,1,1,1,1,1)",4928,4670,"lower bound",4670,4908],[3,14,"f","(5,2,2,1,1,1,1,1)",15015,12669,"lower bound",12669,14883],[3,14,"f","(5,2,2,2,1,1,1)",24960,17885,"lower bound",17885,24668],[3,14,"f","(5,2,2,2,2,1)",21021,14790,"lower bound",14790,20526],[3,14,"f","(5,3,1,1,1,1,1,1)",14014,11718,"lower bound",11718,13890],[3,14,"f","(5,3,2,1,1,1,1)",47775,32854,"lower bound",32854,47293],[3,14,"f","(5,3,2,2,1,1)",69498,41287,"lower bound",41287,67820],[3,14,"f","(5,3,2,2,2)",35035,21161,"lower bound",21161,33841],[3,14,"f","(5,3,3,1,1,1)",48048,27604,"lower bound",27604,46818],[3,14,"f","(5,3,3,2,1)",64064,35079,"lower bound",35079,61436],[3,14,"f","(5,3,3,3)",15015,8843,"lower bound",8843,13620],[3,14,"f","(5,4,1,1,1,1,1)",20384,15199,"lower bound",15199,20093],[3,14,"f","(5,4,2,1,1,1)",63063,36700,"lower bound",36700,61279],[3,14,"f","(5,4,2,2,1)",68640,35705,"lower bound",35705,65529],[3,14,"f","(5,4,3,1,1)",64064,33179,"lower bound",33179,60821],[3,14,"f","(5,4,3,2)",48048,24392,"lower bound",24392,45150],[3,14,"f","(5,4,4,1)",21021,11511,"lower bound",11511,19483],[3,14,"f","(5,5,1,1,1,1)",14014,9931,"lower bound",9931,13395],[3,14,"f","(5,5,2,1,1)",35035,19156,"lower bound",19156,32964],[3,14,"f","(5,5,2,2)",21450,9973,"lower bound",9973,19959],[3,14,"f","(5,5,3,1)",27027,13855,"lower bound",13855,24922],[3,14,"f","(5,5,4)",6006,4096,"lower bound",4096,4988],[3,14,"f","(6,1,1,1,1,1,1,1,1)",1287,1278,"exact",1278,1278],[3,14,"f","(6,2,1,1,1,1,1,1)",8085,7363,"lower bound",7363,7946],[3,14,"f","(6,2,2,1,1,1,1)",21450,15324,"lower bound",15324,21058],[3,14,"f","(6,2,2,2,1,1)",28665,16957,"lower bound",16957,27713],[3,14,"f","(6,2,2,2,2)",14014,8970,"lower bound",8970,12935],[3,14,"f","(6,3,1,1,1,1,1)",21021,14764,"lower bound",14764,20619],[3,14,"f","(6,3,2,1,1,1)",59904,32245,"lower bound",32245,57757],[3,14,"f","(6,3,2,2,1)",63063,31097,"lower bound",31097,59576],[3,14,"f","(6,3,3,1,1)",48048,22101,"lower bound",22101,45096],[3,14,"f","(6,3,3,2)",35035,15805,"lower bound",15805,32509],[3,14,"f","(6,4,1,1,1,1)",28665,16471,"lower bound",16471,27415],[3,14,"f","(6,4,2,1,1)",69498,32479,"lower bound",32479,64848],[3,14,"f","(6,4,2,2)",42042,17967,"lower bound",17967,38728],[3,14,"f","(6,4,3,1)",50050,22891,"lower bound",22891,45694],[3,14,"f","(6,4,4)",9009,5522,"lower bound",5522,7329],[3,14,"f","(6,5,1,1,1)",21021,13092,"lower bound",13092,19241],[3,14,"f","(6,5,2,1)",36608,18181,"lower bound",18181,32976],[3,14,"f","(6,5,3)",15015,9857,"lower bound",9857,12001],[3,14,"f","(6,6,1,1)",7007,4445,"lower bound",4445,5592],[3,14,"f","(6,6,2)",6435,4096,"lower bound",4096,4945],[3,14,"f","(7,1,1,1,1,1,1,1)",1716,1667,"lower bound",1667,1669],[3,14,"f","(7,2,1,1,1,1,1)",9504,8239,"lower bound",8239,9017],[3,14,"f","(7,2,2,1,1,1)",21021,13087,"lower bound",13087,19913],[3,14,"f","(7,2,2,2,1)",20384,11806,"lower bound",11806,18824],[3,14,"f","(7,3,1,1,1,1)",21450,12927,"lower bound",12927,20236],[3,14,"f","(7,3,2,1,1)",47775,21953,"lower bound",21953,43650],[3,14,"f","(7,3,2,2)",28028,12483,"lower bound",12483,25214],[3,14,"f","(7,3,3,1)",27027,11261,"lower bound",11261,24048],[3,14,"f","(7,4,1,1,1)",24960,13361,"lower bound",13361,22537],[3,14,"f","(7,4,2,1)",42042,18853,"lower bound",18853,37054],[3,14,"f","(7,4,3)",16016,9844,"lower bound",9844,12320],[3,14,"f","(7,5,1,1)",15444,9294,"lower bound",9294,11956],[3,14,"f","(7,5,2)",14014,8181,"lower bound",8181,10447],[3,14,"f","(7,6,1)",4576,3138,"lower bound",3138,3213],[3,14,"f","(7,7)",429,262,"exact",262,262],[3,14,"f","(8,1,1,1,1,1,1)",1716,1582,"lower bound",1582,1587],[3,14,"f","(8,2,1,1,1,1)",8085,5354,"lower bound",5354,7196],[3,14,"f","(8,2,2,1,1)",14014,7482,"lower bound",7482,11366],[3,14,"f","(8,2,2,2)",7644,4927,"lower bound",4927,5971],[3,14,"f","(8,3,1,1,1)",15015,7696,"lower bound",7696,11956],[3,14,"f","(8,3,2,1)",23296,10570,"lower bound",10570,18841],[3,14,"f","(8,3,3)",7007,4096,"lower bound",4096,4988],[3,14,"f","(8,4,1,1)",13650,7217,"lower bound",7217,9900],[3,14,"f","(8,4,2)",12012,6121,"lower bound",6121,8323],[3,14,"f","(8,5,1)",6006,3742,"lower bound",3742,3948],[3,14,"f","(8,6)",1001,578,"lower bound",578,579],[3,14,"f","(9,1,1,1,1,1)",1287,1001,"lower bound",1001,1024],[3,14,"f","(9,2,1,1,1)",4928,2715,"lower bound",2715,3482],[3,14,"f","(9,2,2,1)",6006,3012,"lower bound",3012,3932],[3,14,"f","(9,3,1,1)",7007,3019,"lower bound",3019,4415],[3,14,"f","(9,3,2)",5733,3030,"lower bound",3030,3439],[3,14,"f","(9,4,1)",4368,2357,"lower bound",2357,2493],[3,14,"f","(9,5)",1001,507,"lower bound",507,511],[3,14,"f","(10,1,1,1,1)",715,362,"lower bound",362,378],[3,14,"f","(10,2,1,1)",2079,958,"lower bound",958,962],[3,14,"f","(10,2,2)",1365,598,"exact",598,598],[3,14,"f","(10,3,1)",2002,834,"exact",834,834],[3,14,"f","(10,4)",637,245,"lower bound",245,247],[3,14,"f","(11,1,1,1)",286,56,"exact",56,56],[3,14,"f","(11,2,1)",560,112,"exact",112,112],[3,14,"f","(11,3)",273,56,"exact",56,56],[3,14,"f","(12,1,1)",78,0,"exact",0,0],[3,14,"f","(12,2)",77,0,"exact",0,0],[3,14,"f","(13,1)",13,0,"exact",0,0],[3,14,"f","(14)",1,0,"exact",0,0],[3,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[3,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[3,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[3,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[3,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[3,15,"f","(2,2,2,2,2,2,1,1,1)",2002,1999,"exact",1999,1999],[3,15,"f","(2,2,2,2,2,2,2,1)",1430,1423,"exact",1423,1423],[3,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[3,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[3,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,15,"f","(3,2,2,2,2,1,1,1,1)",11375,10439,"lower bound",10439,11365],[3,15,"f","(3,2,2,2,2,2,1,1)",11583,10382,"lower bound",10382,11572],[3,15,"f","(3,2,2,2,2,2,2)",5005,4516,"lower bound",4516,4971],[3,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[3,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[3,15,"f","(3,3,2,2,1,1,1,1,1)",22113,20288,"lower bound",20288,22095],[3,15,"f","(3,3,2,2,2,1,1,1)",32032,27039,"lower bound",27039,32006],[3,15,"f","(3,3,2,2,2,2,1)",25025,20583,"lower bound",20583,25000],[3,15,"f","(3,3,3,1,1,1,1,1,1)",12740,12459,"lower bound",12459,12729],[3,15,"f","(3,3,3,2,1,1,1,1)",35035,30158,"lower bound",30158,35007],[3,15,"f","(3,3,3,2,2,1,1)",45045,36278,"lower bound",36278,44998],[3,15,"f","(3,3,3,2,2,2)",21450,17166,"lower bound",17166,21424],[3,15,"f","(3,3,3,3,1,1,1)",25025,19704,"lower bound",19704,24988],[3,15,"f","(3,3,3,3,2,1)",30030,23740,"lower bound",23740,29967],[3,15,"f","(3,3,3,3,3)",6006,5023,"lower bound",5023,5881],[3,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[3,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[3,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[3,15,"f","(4,2,2,2,1,1,1,1,1)",25025,22909,"lower bound",22909,25002],[3,15,"f","(4,2,2,2,2,1,1,1)",35100,29011,"lower bound",29011,35059],[3,15,"f","(4,2,2,2,2,2,1)",27027,21196,"lower bound",21196,26983],[3,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[3,15,"f","(4,3,2,1,1,1,1,1,1)",42042,39021,"lower bound",39021,42005],[3,15,"f","(4,3,2,2,1,1,1,1)",91000,73070,"lower bound",73070,90887],[3,15,"f","(4,3,2,2,2,1,1)",108108,78267,"lower bound",78267,107916],[3,15,"f","(4,3,2,2,2,2)",50050,34899,"lower bound",34899,49931],[3,15,"f","(4,3,3,1,1,1,1,1)",57330,47240,"lower bound",47240,57260],[3,15,"f","(4,3,3,2,1,1,1)",135135,95996,"lower bound",95996,134979],[3,15,"f","(4,3,3,2,2,1)",128700,86753,"lower bound",86753,128307],[3,15,"f","(4,3,3,3,1,1)",80080,53237,"lower bound",53237,79766],[3,15,"f","(4,3,3,3,2)",54054,36939,"lower bound",36939,53776],[3,15,"f","(4,4,1,1,1,1,1,1,1)",13650,13286,"lower bound",13286,13638],[3,15,"f","(4,4,2,1,1,1,1,1)",58968,48404,"lower bound",48404,58883],[3,15,"f","(4,4,2,2,1,1,1)",112112,76865,"lower bound",76865,111953],[3,15,"f","(4,4,2,2,2,1)",100100,62712,"lower bound",62712,99717],[3,15,"f","(4,4,3,1,1,1,1)",90090,62451,"lower bound",62451,89962],[3,15,"f","(4,4,3,2,1,1)",175175,107902,"lower bound",107902,174462],[3,15,"f","(4,4,3,2,2)",96525,58590,"lower bound",58590,95918],[3,15,"f","(4,4,3,3,1)",81081,50458,"lower bound",50458,80471],[3,15,"f","(4,4,4,1,1,1)",50050,30980,"lower bound",30980,49751],[3,15,"f","(4,4,4,2,1)",75075,45630,"lower bound",45630,74435],[3,15,"f","(4,4,4,3)",24024,16070,"lower bound",16070,23756],[3,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[3,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[3,15,"f","(5,2,2,1,1,1,1,1,1)",26950,24311,"lower bound",24311,26923],[3,15,"f","(5,2,2,2,1,1,1,1)",53625,42345,"lower bound",42345,53524],[3,15,"f","(5,2,2,2,2,1,1)",61425,44599,"lower bound",44599,61253],[3,15,"f","(5,2,2,2,2,2)",28028,19966,"lower bound",19966,27917],[3,15,"f","(5,3,1,1,1,1,1,1,1)",24948,22365,"lower bound",22365,24921],[3,15,"f","(5,3,2,1,1,1,1,1)",100100,77603,"lower bound",77603,99910],[3,15,"f","(5,3,2,2,1,1,1)",184275,122511,"lower bound",122511,183893],[3,15,"f","(5,3,2,2,2,1)",162162,101785,"lower bound",101785,161371],[3,15,"f","(5,3,3,1,1,1,1)",122850,80587,"lower bound",80587,122631],[3,15,"f","(5,3,3,2,1,1)",231660,136375,"lower bound",136375,230394],[3,15,"f","(5,3,3,2,2)",126126,74051,"lower bound",74051,125172],[3,15,"f","(5,3,3,3,1)",100100,58027,"lower bound",58027,99181],[3,15,"f","(5,4,1,1,1,1,1,1)",42042,34226,"lower bound",34226,41950],[3,15,"f","(5,4,2,1,1,1,1)",159250,105486,"lower bound",105486,158898],[3,15,"f","(5,4,2,2,1,1)",243243,139339,"lower bound",139339,241770],[3,15,"f","(5,4,2,2,2)",125125,69384,"lower bound",69384,124009],[3,15,"f","(5,4,3,1,1,1)",210210,119072,"lower bound",119072,208758],[3,15,"f","(5,4,3,2,1)",292864,156616,"lower bound",156616,289628],[3,15,"f","(5,4,3,3)",75075,41327,"lower bound",41327,73994],[3,15,"f","(5,4,4,1,1)",100100,54081,"lower bound",54081,98760],[3,15,"f","(5,4,4,2)",81081,43881,"lower bound",43881,79699],[3,15,"f","(5,5,1,1,1,1,1)",34398,25130,"lower bound",25130,34303],[3,15,"f","(5,5,2,1,1,1)",112112,65787,"lower bound",65787,111186],[3,15,"f","(5,5,2,2,1)",125125,64834,"lower bound",64834,123409],[3,15,"f","(5,5,3,1,1)",126126,66190,"lower bound",66190,124153],[3,15,"f","(5,5,3,2)",96525,48220,"lower bound",48220,94725],[3,15,"f","(5,5,4,1)",54054,29462,"lower bound",29462,52779],[3,15,"f","(5,5,5)",6006,4096,"lower bound",4096,5423],[3,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"f","(6,2,1,1,1,1,1,1,1)",14300,13311,"lower bound",13311,14280],[3,15,"f","(6,2,2,1,1,1,1,1)",44550,35356,"lower bound",35356,44418],[3,15,"f","(6,2,2,2,1,1,1)",75075,50166,"lower bound",50166,74783],[3,15,"f","(6,2,2,2,2,1)",63700,40717,"lower bound",40717,63205],[3,15,"f","(6,3,1,1,1,1,1,1)",43120,33845,"lower bound",33845,42986],[3,15,"f","(6,3,2,1,1,1,1)",150150,95187,"lower bound",95187,149597],[3,15,"f","(6,3,2,2,1,1)",221130,121586,"lower bound",121586,219263],[3,15,"f","(6,3,2,2,2)",112112,61228,"lower bound",61228,110790],[3,15,"f","(6,3,3,1,1,1)",156000,81950,"lower bound",81950,154562],[3,15,"f","(6,3,3,2,1)",210210,104082,"lower bound",104082,207167],[3,15,"f","(6,3,3,3)",50050,24648,"lower bound",24648,49118],[3,15,"f","(6,4,1,1,1,1,1)",70070,46434,"lower bound",46434,69684],[3,15,"f","(6,4,2,1,1,1)",221130,117895,"lower bound",117895,218781],[3,15,"f","(6,4,2,2,1)",243243,117248,"lower bound",117248,239255],[3,15,"f","(6,4,3,1,1)",231660,110650,"lower bound",110650,227376],[3,15,"f","(6,4,3,2)",175175,81055,"lower bound",81055,171311],[3,15,"f","(6,4,4,1)",80080,39924,"lower bound",39924,77933],[3,15,"f","(6,5,1,1,1,1)",63700,39494,"lower bound",39494,62812],[3,15,"f","(6,5,2,1,1)",162162,82908,"lower bound",82908,158546],[3,15,"f","(6,5,2,2)",100100,46121,"lower bound",46121,97468],[3,15,"f","(6,5,3,1)",128700,64784,"lower bound",64784,124789],[3,15,"f","(6,5,4)",30030,19475,"lower bound",19475,27887],[3,15,"f","(6,6,1,1,1)",28028,17537,"lower bound",17537,27195],[3,15,"f","(6,6,2,1)",50050,26722,"lower bound",26722,48113],[3,15,"f","(6,6,3)",21450,13953,"lower bound",13953,19143],[3,15,"f","(7,1,1,1,1,1,1,1,1)",3003,2990,"exact",2990,2990],[3,15,"f","(7,2,1,1,1,1,1,1)",19305,17269,"lower bound",17269,19195],[3,15,"f","(7,2,2,1,1,1,1)",51975,36650,"lower bound",36650,51583],[3,15,"f","(7,2,2,2,1,1)",70070,41850,"lower bound",41850,69118],[3,15,"f","(7,2,2,2,2)",34398,20776,"lower bound",20776,33750],[3,15,"f","(7,3,1,1,1,1,1)",51975,35930,"lower bound",35930,51554],[3,15,"f","(7,3,2,1,1,1)",150150,80212,"lower bound",80212,147881],[3,15,"f","(7,3,2,2,1)",159250,77339,"lower bound",77339,155576],[3,15,"f","(7,3,3,1,1)",122850,55315,"lower bound",55315,119678],[3,15,"f","(7,3,3,2)",90090,39549,"lower bound",39549,87352],[3,15,"f","(7,4,1,1,1,1)",75075,42759,"lower bound",42759,73657],[3,15,"f","(7,4,2,1,1)",184275,86646,"lower bound",86646,179002],[3,15,"f","(7,4,2,2)",112112,49303,"lower bound",49303,108335],[3,15,"f","(7,4,3,1)",135135,62849,"lower bound",62849,129972],[3,15,"f","(7,4,4)",25025,15366,"lower bound",15366,22530],[3,15,"f","(7,5,1,1,1)",61425,35747,"lower bound",35747,59253],[3,15,"f","(7,5,2,1)",108108,54509,"lower bound",54509,103148],[3,15,"f","(7,5,3)",45045,27882,"lower bound",27882,40067],[3,15,"f","(7,6,1,1)",27027,16877,"lower bound",16877,24240],[3,15,"f","(7,6,2)",25025,15415,"lower bound",15415,22035],[3,15,"f","(7,7,1)",5005,3400,"lower bound",3400,3983],[3,15,"f","(8,1,1,1,1,1,1,1)",3432,3368,"lower bound",3368,3370],[3,15,"f","(8,2,1,1,1,1,1)",19305,15175,"lower bound",15175,18962],[3,15,"f","(8,2,2,1,1,1)",43120,25923,"lower bound",25923,41971],[3,15,"f","(8,2,2,2,1)",42042,24215,"lower bound",24215,40242],[3,15,"f","(8,3,1,1,1,1)",44550,25977,"lower bound",25977,43262],[3,15,"f","(8,3,2,1,1)",100100,47701,"lower bound",47701,95773],[3,15,"f","(8,3,2,2)",58968,27980,"lower bound",27980,55674],[3,15,"f","(8,3,3,1)",57330,25927,"lower bound",25927,53803],[3,15,"f","(8,4,1,1,1)",53625,28274,"lower bound",28274,50991],[3,15,"f","(8,4,2,1)",91000,42761,"lower bound",42761,85273],[3,15,"f","(8,4,3)",35035,20061,"lower bound",20061,30008],[3,15,"f","(8,5,1,1)",35100,20253,"lower bound",20253,31043],[3,15,"f","(8,5,2)",32032,18044,"lower bound",18044,27578],[3,15,"f","(8,6,1)",11583,7458,"lower bound",7458,8967],[3,15,"f","(8,7)",1430,998,"exact",998,998],[3,15,"f","(9,1,1,1,1,1,1)",3003,2831,"lower bound",2831,2835],[3,15,"f","(9,2,1,1,1,1)",14300,9070,"lower bound",9070,12865],[3,15,"f","(9,2,2,1,1)",24948,13209,"lower bound",13209,22701],[3,15,"f","(9,2,2,2)",13650,7939,"lower bound",7939,11369],[3,15,"f","(9,3,1,1,1)",26950,13430,"lower bound",13430,24167],[3,15,"f","(9,3,2,1)",42042,19631,"lower bound",19631,36748],[3,15,"f","(9,3,3)",12740,7126,"lower bound",7126,9887],[3,15,"f","(9,4,1,1)",25025,12593,"lower bound",12593,20948],[3,15,"f","(9,4,2)",22113,11508,"lower bound",11508,18065],[3,15,"f","(9,5,1)",11375,6606,"lower bound",6606,8279],[3,15,"f","(9,6)",2002,1319,"lower bound",1319,1320],[3,15,"f","(10,1,1,1,1,1)",2002,1658,"lower bound",1658,1665],[3,15,"f","(10,2,1,1,1)",7722,4035,"lower bound",4035,5852],[3,15,"f","(10,2,2,1)",9450,4568,"lower bound",4568,6756],[3,15,"f","(10,3,1,1)",11088,4811,"lower bound",4811,7695],[3,15,"f","(10,3,2)",9100,4462,"lower bound",4462,6063],[3,15,"f","(10,4,1)",7007,3515,"lower bound",3515,4495],[3,15,"f","(10,5)",1638,951,"lower bound",951,953],[3,15,"f","(11,1,1,1,1)",1001,576,"lower bound",576,580],[3,15,"f","(11,2,1,1)",2925,1515,"lower bound",1515,1555],[3,15,"f","(11,2,2)",1925,956,"exact",956,956],[3,15,"f","(11,3,1)",2835,1349,"lower bound",1349,1397],[3,15,"f","(11,4)",910,407,"exact",407,407],[3,15,"f","(12,1,1,1)",364,84,"exact",84,84],[3,15,"f","(12,2,1)",715,168,"exact",168,168],[3,15,"f","(12,3)",350,84,"exact",84,84],[3,15,"f","(13,1,1)",91,0,"exact",0,0],[3,15,"f","(13,2)",90,0,"exact",0,0],[3,15,"f","(14,1)",14,0,"exact",0,0],[3,15,"f","(15)",1,0,"exact",0,0],[3,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,16,"f","(10,1,1,1,1,1,1)",5005,4489,"lower bound",4489,4795],[3,16,"f","(10,2,1,1,1,1)",24024,14763,"lower bound",14763,24024],[3,16,"f","(10,2,2,1,1)",42120,21812,"lower bound",21812,42075],[3,16,"f","(10,2,2,2)",23100,12507,"lower bound",12507,23055],[3,16,"f","(10,3,1,1,1)",45760,22276,"lower bound",22276,45628],[3,16,"f","(10,3,2,1)",71680,33472,"lower bound",33472,71360],[3,16,"f","(10,3,3)",21840,11588,"lower bound",11588,21696],[3,16,"f","(10,4,1,1)",43120,20919,"lower bound",20919,42714],[3,16,"f","(10,4,2)",38220,19485,"lower bound",19485,37800],[3,16,"f","(10,5,1)",20020,11072,"lower bound",11072,19615],[3,16,"f","(10,6)",3640,2595,"lower bound",2595,2674],[3,16,"f","(11,1,1,1,1,1)",3003,2577,"lower bound",2577,2589],[3,16,"f","(11,2,1,1,1)",11648,6126,"lower bound",6126,9301],[3,16,"f","(11,2,2,1)",14300,7039,"lower bound",7039,10887],[3,16,"f","(11,3,1,1)",16848,7675,"lower bound",7675,12534],[3,16,"f","(11,3,2)",13860,6767,"lower bound",6767,9973],[3,16,"f","(11,4,1)",10752,5271,"lower bound",5271,7471],[3,16,"f","(11,5)",2548,1634,"lower bound",1634,1668],[3,16,"f","(12,1,1,1,1)",1365,846,"lower bound",846,850],[3,16,"f","(12,2,1,1)",4004,1900,"lower bound",1900,2335],[3,16,"f","(12,2,2)",2640,1444,"lower bound",1444,1477],[3,16,"f","(12,3,1)",3900,2049,"lower bound",2049,2122],[3,16,"f","(12,4)",1260,629,"exact",629,629],[3,16,"f","(13,1,1,1)",455,120,"exact",120,120],[3,16,"f","(13,2,1)",896,240,"exact",240,240],[3,16,"f","(13,3)",440,120,"exact",120,120],[3,16,"f","(14,1,1)",105,0,"exact",0,0],[3,16,"f","(14,2)",104,0,"exact",0,0],[3,16,"f","(15,1)",15,0,"exact",0,0],[3,16,"f","(16)",1,0,"exact",0,0],[3,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[3,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[3,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[3,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[3,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[3,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[3,16,"f","(2,2,2,2,2,2,2,1,1)",3432,3430,"lower bound",3430,3432],[3,16,"f","(2,2,2,2,2,2,2,2)",1430,1426,"exact",1426,1426],[3,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[3,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[3,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[3,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[3,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[3,16,"f","(3,2,2,2,2,2,1,1,1)",24960,22820,"lower bound",22820,24960],[3,16,"f","(3,2,2,2,2,2,2,1)",18018,16321,"lower bound",16321,18018],[3,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[3,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[3,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[3,16,"f","(3,3,2,2,2,1,1,1,1)",65520,57766,"lower bound",57766,65520],[3,16,"f","(3,3,2,2,2,2,1,1)",68640,58004,"lower bound",58004,68640],[3,16,"f","(3,3,2,2,2,2,2)",30030,25099,"lower bound",25099,30030],[3,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[3,16,"f","(3,3,3,2,1,1,1,1,1)",69888,62905,"lower bound",62905,69888],[3,16,"f","(3,3,3,2,2,1,1,1)",112112,93475,"lower bound",93475,112112],[3,16,"f","(3,3,3,2,2,2,1)",91520,74027,"lower bound",74027,91520],[3,16,"f","(3,3,3,3,1,1,1,1)",60060,49862,"lower bound",49862,60060],[3,16,"f","(3,3,3,3,2,1,1)",100100,79722,"lower bound",79722,100100],[3,16,"f","(3,3,3,3,2,2)",51480,40906,"lower bound",40906,51480],[3,16,"f","(3,3,3,3,3,1)",36036,28763,"lower bound",28763,36036],[3,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[3,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[3,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[3,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[3,16,"f","(4,2,2,2,2,1,1,1,1)",71500,62359,"lower bound",62359,71500],[3,16,"f","(4,2,2,2,2,2,1,1)",73710,60589,"lower bound",60589,73710],[3,16,"f","(4,2,2,2,2,2,2)",32032,25712,"lower bound",25712,32032],[3,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[3,16,"f","(4,3,2,2,1,1,1,1,1)",180180,155288,"lower bound",155288,180180],[3,16,"f","(4,3,2,2,2,1,1,1)",266240,207387,"lower bound",207387,266240],[3,16,"f","(4,3,2,2,2,2,1)",210210,154945,"lower bound",154945,210210],[3,16,"f","(4,3,3,1,1,1,1,1,1)",112112,98720,"lower bound",98720,112112],[3,16,"f","(4,3,3,2,1,1,1,1)",318500,246464,"lower bound",246464,318500],[3,16,"f","(4,3,3,2,2,1,1)",416988,297294,"lower bound",297294,416988],[3,16,"f","(4,3,3,2,2,2)",200200,138818,"lower bound",138818,200200],[3,16,"f","(4,3,3,3,1,1,1)",240240,168937,"lower bound",168937,240240],[3,16,"f","(4,3,3,3,2,1)",292864,200669,"lower bound",200669,292864],[3,16,"f","(4,3,3,3,3)",60060,41962,"lower bound",41962,60060],[3,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[3,16,"f","(4,4,2,1,1,1,1,1,1)",114660,100711,"lower bound",100711,114660],[3,16,"f","(4,4,2,2,1,1,1,1)",262080,198339,"lower bound",198339,262080],[3,16,"f","(4,4,2,2,2,1,1)",320320,217844,"lower bound",217844,320320],[3,16,"f","(4,4,2,2,2,2)",150150,97611,"lower bound",97611,150150],[3,16,"f","(4,4,3,1,1,1,1,1)",206388,158095,"lower bound",158095,206388],[3,16,"f","(4,4,3,2,1,1,1)",512512,343214,"lower bound",343214,512512],[3,16,"f","(4,4,3,2,2,1)",500500,315957,"lower bound",315957,500500],[3,16,"f","(4,4,3,3,1,1)",336336,211597,"lower bound",211597,336336],[3,16,"f","(4,4,3,3,2)",231660,145987,"lower bound",145987,231660],[3,16,"f","(4,4,4,1,1,1,1)",140140,93431,"lower bound",93431,140140],[3,16,"f","(4,4,4,2,1,1)",300300,184512,"lower bound",184512,300300],[3,16,"f","(4,4,4,2,2)",171600,104220,"lower bound",104220,171600],[3,16,"f","(4,4,4,3,1)",180180,112158,"lower bound",112158,180180],[3,16,"f","(4,4,4,4)",24024,16070,"lower bound",16070,24024],[3,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[3,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[3,16,"f","(5,2,2,2,1,1,1,1,1)",105600,89565,"lower bound",89565,105600],[3,16,"f","(5,2,2,2,2,1,1,1)",150150,115955,"lower bound",115955,150150],[3,16,"f","(5,2,2,2,2,2,1)",116480,85761,"lower bound",85761,116480],[3,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[3,16,"f","(5,3,2,1,1,1,1,1,1)",194040,163300,"lower bound",163300,194040],[3,16,"f","(5,3,2,2,1,1,1,1)",429000,315529,"lower bound",315529,429000],[3,16,"f","(5,3,2,2,2,1,1)",515970,347162,"lower bound",347162,515970],[3,16,"f","(5,3,2,2,2,2)",240240,156650,"lower bound",156650,240240],[3,16,"f","(5,3,3,1,1,1,1,1)",280280,205430,"lower bound",205430,280280],[3,16,"f","(5,3,3,2,1,1,1)",673920,435469,"lower bound",435469,673920],[3,16,"f","(5,3,3,2,2,1)",648648,398964,"lower bound",398964,648648],[3,16,"f","(5,3,3,3,1,1)",411840,247639,"lower bound",247639,411840],[3,16,"f","(5,3,3,3,2)",280280,169017,"lower bound",169017,280280],[3,16,"f","(5,4,1,1,1,1,1,1,1)",80640,69877,"lower bound",69877,80640],[3,16,"f","(5,4,2,1,1,1,1,1)",360360,265719,"lower bound",265719,360360],[3,16,"f","(5,4,2,2,1,1,1)",698880,444201,"lower bound",444201,698880],[3,16,"f","(5,4,2,2,2,1)",630630,373220,"lower bound",373220,630630],[3,16,"f","(5,4,3,1,1,1,1)",582400,367596,"lower bound",367596,582400],[3,16,"f","(5,4,3,2,1,1)",1153152,659304,"lower bound",659304,1153152],[3,16,"f","(5,4,3,2,2)",640640,358641,"lower bound",358641,640640],[3,16,"f","(5,4,3,3,1)",549120,306428,"lower bound",306428,549120],[3,16,"f","(5,4,4,1,1,1)",360360,204133,"lower bound",204133,360360],[3,16,"f","(5,4,4,2,1)",549120,300208,"lower bound",300208,549120],[3,16,"f","(5,4,4,3)",180180,101278,"lower bound",101278,180180],[3,16,"f","(5,5,1,1,1,1,1,1)",76440,59356,"lower bound",59356,76440],[3,16,"f","(5,5,2,1,1,1,1)",305760,196403,"lower bound",196403,305760],[3,16,"f","(5,5,2,2,1,1)",480480,269960,"lower bound",269960,480480],[3,16,"f","(5,5,2,2,2)",250250,134218,"lower bound",134218,250250],[3,16,"f","(5,5,3,1,1,1)",448448,251049,"lower bound",251049,448448],[3,16,"f","(5,5,3,2,1)",640640,335860,"lower bound",335860,640640],[3,16,"f","(5,5,3,3)",171600,89547,"lower bound",89547,171600],[3,16,"f","(5,5,4,1,1)",280280,149733,"lower bound",149733,280277],[3,16,"f","(5,5,4,2)",231660,121563,"lower bound",121563,231657],[3,16,"f","(5,5,5,1)",60060,33558,"lower bound",33558,60056],[3,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[3,16,"f","(6,2,2,1,1,1,1,1,1)",85800,72978,"lower bound",72978,85800],[3,16,"f","(6,2,2,2,1,1,1,1)",173250,127867,"lower bound",127867,173250],[3,16,"f","(6,2,2,2,2,1,1)",200200,135482,"lower bound",135482,200200],[3,16,"f","(6,2,2,2,2,2)",91728,60683,"lower bound",60683,91728],[3,16,"f","(6,3,1,1,1,1,1,1,1)",82368,69521,"lower bound",69521,82368],[3,16,"f","(6,3,2,1,1,1,1,1)",337920,241991,"lower bound",241991,337920],[3,16,"f","(6,3,2,2,1,1,1)",630630,389450,"lower bound",389450,630630],[3,16,"f","(6,3,2,2,2,1)",559104,325316,"lower bound",325316,559104],[3,16,"f","(6,3,3,1,1,1,1)",429000,257724,"lower bound",257724,429000],[3,16,"f","(6,3,3,2,1,1)",819000,443993,"lower bound",443993,819000],[3,16,"f","(6,3,3,2,2)",448448,239361,"lower bound",239361,448448],[3,16,"f","(6,3,3,3,1)",360360,186757,"lower bound",186757,360360],[3,16,"f","(6,4,1,1,1,1,1,1)",155232,114505,"lower bound",114505,155232],[3,16,"f","(6,4,2,1,1,1,1)",600600,365002,"lower bound",365002,600600],[3,16,"f","(6,4,2,2,1,1)",928746,496068,"lower bound",496068,928746],[3,16,"f","(6,4,2,2,2)",480480,247860,"lower bound",247860,480480],[3,16,"f","(6,4,3,1,1,1)",819000,429567,"lower bound",429567,819000],[3,16,"f","(6,4,3,2,1)",1153152,569651,"lower bound",569651,1153152],[3,16,"f","(6,4,3,3)",300300,147030,"lower bound",147030,300300],[3,16,"f","(6,4,4,1,1)",411840,204655,"lower bound",204655,411834],[3,16,"f","(6,4,4,2)",336336,164860,"lower bound",164860,336330],[3,16,"f","(6,5,1,1,1,1,1)",168168,111058,"lower bound",111058,168168],[3,16,"f","(6,5,2,1,1,1)",559104,306084,"lower bound",306084,559104],[3,16,"f","(6,5,2,2,1)",630630,311111,"lower bound",311111,630630],[3,16,"f","(6,5,3,1,1)",648648,324532,"lower bound",324532,648633],[3,16,"f","(6,5,3,2)",500500,240180,"lower bound",240180,500485],[3,16,"f","(6,5,4,1)",292864,153645,"lower bound",153645,292832],[3,16,"f","(6,5,5)",36036,23571,"lower bound",23571,36024],[3,16,"f","(6,6,1,1,1,1)",91728,57031,"lower bound",57031,91728],[3,16,"f","(6,6,2,1,1)",240240,127167,"lower bound",127167,240225],[3,16,"f","(6,6,2,2)",150150,72843,"lower bound",72843,150135],[3,16,"f","(6,6,3,1)",200200,105459,"lower bound",105459,200160],[3,16,"f","(6,6,4)",51480,33428,"lower bound",33428,51456],[3,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[3,16,"f","(7,2,1,1,1,1,1,1,1)",36608,33570,"lower bound",33570,36608],[3,16,"f","(7,2,2,1,1,1,1,1)",115830,89275,"lower bound",89275,115830],[3,16,"f","(7,2,2,2,1,1,1)",197120,128666,"lower bound",128666,197120],[3,16,"f","(7,2,2,2,2,1)",168168,103343,"lower bound",103343,168168],[3,16,"f","(7,3,1,1,1,1,1,1)",114400,87044,"lower bound",87044,114400],[3,16,"f","(7,3,2,1,1,1,1)",404250,247979,"lower bound",247979,404250],[3,16,"f","(7,3,2,2,1,1)",600600,320987,"lower bound",320987,600600],[3,16,"f","(7,3,2,2,2)",305760,159343,"lower bound",159343,305760],[3,16,"f","(7,3,3,1,1,1)",429000,217477,"lower bound",217477,429000],[3,16,"f","(7,3,3,2,1)",582400,276285,"lower bound",276285,582400],[3,16,"f","(7,3,3,3)",140140,64197,"lower bound",64197,140140],[3,16,"f","(7,4,1,1,1,1,1)",197120,125123,"lower bound",125123,197120],[3,16,"f","(7,4,2,1,1,1)",630630,327512,"lower bound",327512,630630],[3,16,"f","(7,4,2,2,1)",698880,330536,"lower bound",330536,698880],[3,16,"f","(7,4,3,1,1)",673920,315460,"lower bound",315460,673896],[3,16,"f","(7,4,3,2)",512512,232756,"lower bound",232756,512488],[3,16,"f","(7,4,4,1)",240240,118139,"lower bound",118139,240200],[3,16,"f","(7,5,1,1,1,1)",200200,118000,"lower bound",118000,200200],[3,16,"f","(7,5,2,1,1)",515970,259810,"lower bound",259810,515928],[3,16,"f","(7,5,2,2)",320320,149933,"lower bound",149933,320278],[3,16,"f","(7,5,3,1)",416988,210024,"lower bound",210024,416880],[3,16,"f","(7,5,4)",100100,62723,"lower bound",62723,100040],[3,16,"f","(7,6,1,1,1)",116480,70161,"lower bound",70161,116432],[3,16,"f","(7,6,2,1)",210210,113523,"lower bound",113523,210070],[3,16,"f","(7,6,3)",91520,57250,"lower bound",57250,91424],[3,16,"f","(7,7,1,1)",32032,20277,"lower bound",20277,31956],[3,16,"f","(7,7,2)",30030,18815,"lower bound",18815,29946],[3,16,"f","(8,1,1,1,1,1,1,1,1)",6435,6358,"lower bound",6358,6428],[3,16,"f","(8,2,1,1,1,1,1,1)",42042,35812,"lower bound",35812,42042],[3,16,"f","(8,2,2,1,1,1,1)",114400,77748,"lower bound",77748,114400],[3,16,"f","(8,2,2,2,1,1)",155232,91988,"lower bound",91988,155232],[3,16,"f","(8,2,2,2,2)",76440,44991,"lower bound",44991,76440],[3,16,"f","(8,3,1,1,1,1,1)",115830,77082,"lower bound",77082,115830],[3,16,"f","(8,3,2,1,1,1)",337920,179813,"lower bound",179813,337920],[3,16,"f","(8,3,2,2,1)",360360,177235,"lower bound",177235,360360],[3,16,"f","(8,3,3,1,1)",280280,128943,"lower bound",128943,280259],[3,16,"f","(8,3,3,2)",206388,93456,"lower bound",93456,206367],[3,16,"f","(8,4,1,1,1,1)",173250,97010,"lower bound",97010,173250],[3,16,"f","(8,4,2,1,1)",429000,205382,"lower bound",205382,428940],[3,16,"f","(8,4,2,2)",262080,120044,"lower bound",120044,262020],[3,16,"f","(8,4,3,1)",318500,151598,"lower bound",151598,318360],[3,16,"f","(8,4,4)",60060,35427,"lower bound",35427,60000],[3,16,"f","(8,5,1,1,1)",150150,84274,"lower bound",84274,150060],[3,16,"f","(8,5,2,1)",266240,135567,"lower bound",135567,265984],[3,16,"f","(8,5,3)",112112,65987,"lower bound",65987,111944],[3,16,"f","(8,6,1,1)",73710,44588,"lower bound",44588,73491],[3,16,"f","(8,6,2)",68640,40917,"lower bound",40917,68400],[3,16,"f","(8,7,1)",18018,11856,"lower bound",11856,15355],[3,16,"f","(8,8)",1430,1120,"exact",1120,1120],[3,16,"f","(9,1,1,1,1,1,1,1)",6435,6199,"lower bound",6199,6429],[3,16,"f","(9,2,1,1,1,1,1)",36608,27076,"lower bound",27076,36608],[3,16,"f","(9,2,2,1,1,1)",82368,48202,"lower bound",48202,82368],[3,16,"f","(9,2,2,2,1)",80640,45363,"lower bound",45363,80640],[3,16,"f","(9,3,1,1,1,1)",85800,48477,"lower bound",48477,85800],[3,16,"f","(9,3,2,1,1)",194040,93971,"lower bound",93971,193977],[3,16,"f","(9,3,2,2)",114660,55550,"lower bound",55550,114597],[3,16,"f","(9,3,3,1)",112112,52684,"lower bound",52684,112000],[3,16,"f","(9,4,1,1,1)",105600,54297,"lower bound",54297,105480],[3,16,"f","(9,4,2,1)",180180,86493,"lower bound",86493,179856],[3,16,"f","(9,4,3)",69888,38695,"lower bound",38695,69696],[3,16,"f","(9,5,1,1)",71500,39452,"lower bound",39452,71165],[3,16,"f","(9,5,2)",65520,36158,"lower bound",36158,65160],[3,16,"f","(9,6,1)",24960,15383,"lower bound",15383,24660],[3,16,"f","(9,7)",3432,2528,"lower bound",2528,2670],[3,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,17,"f","(10,1,1,1,1,1,1,1)",11440,10688,"lower bound",10688,11383],[3,17,"f","(10,2,1,1,1,1,1)",65637,46328,"lower bound",46328,65637],[3,17,"f","(10,2,2,1,1,1)",148512,84777,"lower bound",84777,148512],[3,17,"f","(10,2,2,2,1)",145860,79682,"lower bound",79682,145860],[3,17,"f","(10,3,1,1,1,1)",155584,85516,"lower bound",85516,155584],[3,17,"f","(10,3,2,1,1)",353600,171531,"lower bound",171531,353520],[3,17,"f","(10,3,2,2)",209440,101529,"lower bound",101529,209360],[3,17,"f","(10,3,3,1)",205632,97744,"lower bound",97744,205488],[3,17,"f","(10,4,1,1,1)",194480,97492,"lower bound",97492,194326],[3,17,"f","(10,4,2,1)",333200,160369,"lower bound",160369,332780],[3,17,"f","(10,4,3)",129948,69768,"lower bound",69768,129696],[3,17,"f","(10,5,1,1)",134640,71443,"lower bound",71443,134196],[3,17,"f","(10,5,2)",123760,66715,"lower bound",66715,123280],[3,17,"f","(10,6,1)",48620,29050,"lower bound",29050,48205],[3,17,"f","(10,7)",7072,5123,"lower bound",5123,5852],[3,17,"f","(11,1,1,1,1,1,1)",8008,7066,"lower bound",7066,7825],[3,17,"f","(11,2,1,1,1,1)",38675,23466,"lower bound",23466,38675],[3,17,"f","(11,2,2,1,1)",68068,34977,"lower bound",34977,68013],[3,17,"f","(11,2,2,2)",37400,19546,"lower bound",19546,37345],[3,17,"f","(11,3,1,1,1)",74256,36077,"lower bound",36077,74094],[3,17,"f","(11,3,2,1)",116688,54953,"lower bound",54953,116292],[3,17,"f","(11,3,3)",35700,18355,"lower bound",18355,35520],[3,17,"f","(11,4,1,1)",70720,33865,"lower bound",33865,70212],[3,17,"f","(11,4,2)",62832,31523,"lower bound",31523,62304],[3,17,"f","(11,5,1)",33320,17977,"lower bound",17977,32802],[3,17,"f","(11,6)",6188,4229,"lower bound",4229,4854],[3,17,"f","(12,1,1,1,1,1)",4368,3423,"lower bound",3423,3865],[3,17,"f","(12,2,1,1,1)",17017,8872,"lower bound",8872,14148],[3,17,"f","(12,2,2,1)",20944,10383,"lower bound",10383,20680],[3,17,"f","(12,3,1,1)",24752,11624,"lower bound",11624,24252],[3,17,"f","(12,3,2)",20400,10260,"lower bound",10260,19920],[3,17,"f","(12,4,1)",15912,7949,"lower bound",7949,11800],[3,17,"f","(12,5)",3808,2263,"lower bound",2263,2683],[3,17,"f","(13,1,1,1,1)",1820,966,"lower bound",966,1202],[3,17,"f","(13,2,1,1)",5355,2260,"lower bound",2260,3315],[3,17,"f","(13,2,2)",3536,1684,"lower bound",1684,2144],[3,17,"f","(13,3,1)",5236,2409,"lower bound",2409,3090],[3,17,"f","(13,4)",1700,749,"lower bound",749,927],[3,17,"f","(14,1,1,1)",560,120,"lower bound",120,165],[3,17,"f","(14,2,1)",1105,240,"lower bound",240,330],[3,17,"f","(14,3)",544,120,"lower bound",120,165],[3,17,"f","(15,1,1)",120,0,"exact",0,0],[3,17,"f","(15,2)",119,0,"exact",0,0],[3,17,"f","(16,1)",16,0,"exact",0,0],[3,17,"f","(17)",1,0,"exact",0,0],[3,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[3,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[3,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[3,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[3,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[3,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[3,17,"f","(2,2,2,2,2,2,2,2,1)",4862,4856,"lower bound",4856,4862],[3,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[3,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[3,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[3,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[3,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[3,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[3,17,"f","(3,2,2,2,2,2,2,1,1)",46410,42571,"lower bound",42571,46410],[3,17,"f","(3,2,2,2,2,2,2,2)",19448,17747,"lower bound",17747,19448],[3,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[3,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[3,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[3,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[3,17,"f","(3,3,2,2,2,2,1,1,1)",159120,138590,"lower bound",138590,159120],[3,17,"f","(3,3,2,2,2,2,2,1)",116688,99424,"lower bound",99424,116688],[3,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[3,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"f","(3,3,3,2,2,1,1,1,1)",247520,214146,"lower bound",214146,247520],[3,17,"f","(3,3,3,2,2,2,1,1)",272272,225506,"lower bound",225506,272272],[3,17,"f","(3,3,3,2,2,2,2)",121550,99126,"lower bound",99126,121550],[3,17,"f","(3,3,3,3,1,1,1,1,1)",129948,112767,"lower bound",112767,129948],[3,17,"f","(3,3,3,3,2,1,1,1)",272272,223059,"lower bound",223059,272272],[3,17,"f","(3,3,3,3,2,2,1)",243100,194655,"lower bound",194655,243100],[3,17,"f","(3,3,3,3,3,1,1)",136136,108485,"lower bound",108485,136136],[3,17,"f","(3,3,3,3,3,2)",87516,69669,"lower bound",69669,87516],[3,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[3,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[3,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[3,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[3,17,"f","(4,2,2,2,2,2,1,1,1)",170170,145768,"lower bound",145768,170170],[3,17,"f","(4,2,2,2,2,2,2,1)",123760,102622,"lower bound",102622,123760],[3,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[3,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[3,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[3,17,"f","(4,3,2,2,2,1,1,1,1)",583440,482800,"lower bound",482800,583440],[3,17,"f","(4,3,2,2,2,2,1,1)",618800,480925,"lower bound",480925,618800],[3,17,"f","(4,3,2,2,2,2,2)",272272,205756,"lower bound",205756,272272],[3,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[3,17,"f","(4,3,3,2,1,1,1,1,1)",680680,563377,"lower bound",563377,680680],[3,17,"f","(4,3,3,2,2,1,1,1)",1113840,844620,"lower bound",844620,1113840],[3,17,"f","(4,3,3,2,2,2,1)",918918,665084,"lower bound",665084,918918],[3,17,"f","(4,3,3,3,1,1,1,1)",618800,465263,"lower bound",465263,618800],[3,17,"f","(4,3,3,3,2,1,1)",1050192,746622,"lower bound",746622,1050192],[3,17,"f","(4,3,3,3,2,2)",544544,380393,"lower bound",380393,544544],[3,17,"f","(4,3,3,3,3,1)",388960,271394,"lower bound",271394,388960],[3,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[3,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[3,17,"f","(4,4,2,2,1,1,1,1,1)",556920,454338,"lower bound",454338,556920],[3,17,"f","(4,4,2,2,2,1,1,1)",848640,623570,"lower bound",623570,848640],[3,17,"f","(4,4,2,2,2,2,1)",680680,470400,"lower bound",470400,680680],[3,17,"f","(4,4,3,1,1,1,1,1,1)",433160,357526,"lower bound",357526,433160],[3,17,"f","(4,4,3,2,1,1,1,1)",1299480,946112,"lower bound",946112,1299480],[3,17,"f","(4,4,3,2,2,1,1)",1750320,1174309,"lower bound",1174309,1750320],[3,17,"f","(4,4,3,2,2,2)",850850,552386,"lower bound",552386,850850],[3,17,"f","(4,4,3,3,1,1,1)",1089088,723748,"lower bound",723748,1089088],[3,17,"f","(4,4,3,3,2,1)",1361360,874210,"lower bound",874210,1361360],[3,17,"f","(4,4,3,3,3)",291720,187949,"lower bound",187949,291720],[3,17,"f","(4,4,4,1,1,1,1,1)",346528,251526,"lower bound",251526,346528],[3,17,"f","(4,4,4,2,1,1,1)",952952,621157,"lower bound",621157,952952],[3,17,"f","(4,4,4,2,2,1)",972400,604689,"lower bound",604689,972400],[3,17,"f","(4,4,4,3,1,1)",816816,508267,"lower bound",508267,816816],[3,17,"f","(4,4,4,3,2)",583440,362365,"lower bound",362365,583440],[3,17,"f","(4,4,4,4,1)",204204,128228,"lower bound",128228,204204],[3,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[3,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[3,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[3,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[3,17,"f","(5,2,2,2,2,1,1,1,1)",327250,267879,"lower bound",267879,327250],[3,17,"f","(5,2,2,2,2,2,1,1)",340340,262305,"lower bound",262305,340340],[3,17,"f","(5,2,2,2,2,2,2)",148512,111473,"lower bound",111473,148512],[3,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[3,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[3,17,"f","(5,3,2,2,1,1,1,1,1)",908820,723682,"lower bound",723682,908820],[3,17,"f","(5,3,2,2,2,1,1,1)",1361360,986033,"lower bound",986033,1361360],[3,17,"f","(5,3,2,2,2,2,1)",1082900,744518,"lower bound",744518,1082900],[3,17,"f","(5,3,3,1,1,1,1,1,1)",586432,467450,"lower bound",467450,586432],[3,17,"f","(5,3,3,2,1,1,1,1)",1701700,1202892,"lower bound",1202892,1701700],[3,17,"f","(5,3,3,2,2,1,1)",2255526,1478889,"lower bound",1478889,2255526],[3,17,"f","(5,3,3,2,2,2)",1089088,694432,"lower bound",694432,1089088],[3,17,"f","(5,3,3,3,1,1,1)",1326000,852045,"lower bound",852045,1326000],[3,17,"f","(5,3,3,3,2,1)",1633632,1016289,"lower bound",1016289,1633632],[3,17,"f","(5,3,3,3,3)",340340,210979,"lower bound",210979,340340],[3,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[3,17,"f","(5,4,2,1,1,1,1,1,1)",749700,599607,"lower bound",599607,749700],[3,17,"f","(5,4,2,2,1,1,1,1)",1750320,1223788,"lower bound",1223788,1750320],[3,17,"f","(5,4,2,2,2,1,1)",2165800,1382427,"lower bound",1382427,2165800],[3,17,"f","(5,4,2,2,2,2)",1021020,627481,"lower bound",627481,1021020],[3,17,"f","(5,4,3,1,1,1,1,1)",1429428,996840,"lower bound",996840,1429428],[3,17,"f","(5,4,3,2,1,1,1)",3620864,2249784,"lower bound",2249784,3620864],[3,17,"f","(5,4,3,2,2,1)",3573570,2106086,"lower bound",2106086,3573570],[3,17,"f","(5,4,3,3,1,1)",2450448,1424968,"lower bound",1424968,2450448],[3,17,"f","(5,4,3,3,2)",1701700,980073,"lower bound",980073,1701700],[3,17,"f","(5,4,4,1,1,1,1)",1082900,665160,"lower bound",665160,1082900],[3,17,"f","(5,4,4,2,1,1)",2362932,1348157,"lower bound",1348157,2362932],[3,17,"f","(5,4,4,2,2)",1361360,763069,"lower bound",763069,1361360],[3,17,"f","(5,4,4,3,1)",1458600,820072,"lower bound",820072,1458600],[3,17,"f","(5,4,4,4)",204204,117348,"lower bound",117348,204204],[3,17,"f","(5,5,1,1,1,1,1,1,1)",157080,129233,"lower bound",129233,157080],[3,17,"f","(5,5,2,1,1,1,1,1)",742560,521478,"lower bound",521478,742560],[3,17,"f","(5,5,2,2,1,1,1)",1485120,910564,"lower bound",910564,1485120],[3,17,"f","(5,5,2,2,2,1)",1361360,777398,"lower bound",777398,1361360],[3,17,"f","(5,5,3,1,1,1,1)",1336608,815048,"lower bound",815048,1336608],[3,17,"f","(5,5,3,2,1,1)",2722720,1516173,"lower bound",1516173,2722720],[3,17,"f","(5,5,3,2,2)",1531530,828719,"lower bound",828719,1531530],[3,17,"f","(5,5,3,3,1)",1361360,731835,"lower bound",731835,1361360],[3,17,"f","(5,5,4,1,1,1)",1089088,604915,"lower bound",604915,1089088],[3,17,"f","(5,5,4,2,1)",1701700,907364,"lower bound",907364,1701700],[3,17,"f","(5,5,4,3)",583440,312388,"lower bound",312388,583440],[3,17,"f","(5,5,5,1,1)",340340,183291,"lower bound",183291,340339],[3,17,"f","(5,5,5,2)",291720,155121,"lower bound",155121,291719],[3,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[3,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[3,17,"f","(6,2,2,2,1,1,1,1,1)",364650,290410,"lower bound",290410,364650],[3,17,"f","(6,2,2,2,2,1,1,1)",523600,379304,"lower bound",379304,523600],[3,17,"f","(6,2,2,2,2,2,1)",408408,281926,"lower bound",281926,408408],[3,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[3,17,"f","(6,3,2,1,1,1,1,1,1)",700128,547790,"lower bound",547790,700128],[3,17,"f","(6,3,2,2,1,1,1,1)",1570800,1074837,"lower bound",1074837,1570800],[3,17,"f","(6,3,2,2,2,1,1)",1905904,1197410,"lower bound",1197410,1905904],[3,17,"f","(6,3,2,2,2,2)",891072,542649,"lower bound",542649,891072],[3,17,"f","(6,3,3,1,1,1,1,1)",1047200,705145,"lower bound",705145,1047200],[3,17,"f","(6,3,3,2,1,1,1)",2552550,1526636,"lower bound",1526636,2552550],[3,17,"f","(6,3,3,2,2,1)",2475200,1407634,"lower bound",1407634,2475200],[3,17,"f","(6,3,3,3,1,1)",1591200,878389,"lower bound",878389,1591200],[3,17,"f","(6,3,3,3,2)",1089088,595135,"lower bound",595135,1089088],[3,17,"f","(6,4,1,1,1,1,1,1,1)",318240,253903,"lower bound",253903,318240],[3,17,"f","(6,4,2,1,1,1,1,1)",1454112,987217,"lower bound",987217,1454112],[3,17,"f","(6,4,2,2,1,1,1)",2858856,1694721,"lower bound",1694721,2858856],[3,17,"f","(6,4,2,2,2,1)",2598960,1442464,"lower bound",1442464,2598960],[3,17,"f","(6,4,3,1,1,1,1)",2431000,1419889,"lower bound",1419889,2431000],[3,17,"f","(6,4,3,2,1,1)",4873050,2598583,"lower bound",2598583,4873050],[3,17,"f","(6,4,3,2,2)",2722720,1415513,"lower bound",1415513,2722720],[3,17,"f","(6,4,3,3,1)",2362932,1209866,"lower bound",1209866,2362932],[3,17,"f","(6,4,4,1,1,1)",1591200,838355,"lower bound",838355,1591200],[3,17,"f","(6,4,4,2,1)",2450448,1239374,"lower bound",1239374,2450448],[3,17,"f","(6,4,4,3)",816816,413168,"lower bound",413168,816816],[3,17,"f","(6,5,1,1,1,1,1,1)",399840,284919,"lower bound",284919,399840],[3,17,"f","(6,5,2,1,1,1,1)",1633632,978547,"lower bound",978547,1633632],[3,17,"f","(6,5,2,2,1,1)",2598960,1383223,"lower bound",1383223,2598960],[3,17,"f","(6,5,2,2,2)",1361360,693189,"lower bound",693189,1361360],[3,17,"f","(6,5,3,1,1,1)",2475200,1311232,"lower bound",1311232,2475200],[3,17,"f","(6,5,3,2,1)",3573570,1781334,"lower bound",1781334,3573570],[3,17,"f","(6,5,3,3)",972400,476757,"lower bound",476757,972400],[3,17,"f","(6,5,4,1,1)",1633632,832565,"lower bound",832565,1633624],[3,17,"f","(6,5,4,2)",1361360,680248,"lower bound",680248,1361352],[3,17,"f","(6,5,5,1)",388960,210774,"lower bound",210774,388948],[3,17,"f","(6,6,1,1,1,1,1)",259896,168089,"lower bound",168089,259896],[3,17,"f","(6,6,2,1,1,1)",891072,490282,"lower bound",490282,891072],[3,17,"f","(6,6,2,2,1)",1021020,511121,"lower bound",511121,1021020],[3,17,"f","(6,6,3,1,1)",1089088,557158,"lower bound",557158,1089078],[3,17,"f","(6,6,3,2)",850850,418482,"lower bound",418482,850840],[3,17,"f","(6,6,4,1)",544544,292532,"lower bound",292532,544520],[3,17,"f","(6,6,5)",87516,56999,"lower bound",56999,87504],[3,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[3,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[3,17,"f","(7,2,2,1,1,1,1,1,1)",238238,195823,"lower bound",195823,238238],[3,17,"f","(7,2,2,2,1,1,1,1)",486200,345808,"lower bound",345808,486200],[3,17,"f","(7,2,2,2,2,1,1)",565488,367491,"lower bound",367491,565488],[3,17,"f","(7,2,2,2,2,2)",259896,164026,"lower bound",164026,259896],[3,17,"f","(7,3,1,1,1,1,1,1,1)",233376,190135,"lower bound",190135,233376],[3,17,"f","(7,3,2,1,1,1,1,1)",972400,666289,"lower bound",666289,972400],[3,17,"f","(7,3,2,2,1,1,1)",1832600,1087082,"lower bound",1087082,1832600],[3,17,"f","(7,3,2,2,2,1)",1633632,908989,"lower bound",908989,1633632],[3,17,"f","(7,3,3,1,1,1,1)",1262250,723180,"lower bound",723180,1262250],[3,17,"f","(7,3,3,2,1,1)",2431000,1258742,"lower bound",1258742,2431000],[3,17,"f","(7,3,3,2,2)",1336608,674989,"lower bound",674989,1336608],[3,17,"f","(7,3,3,3,1)",1082900,527239,"lower bound",527239,1082900],[3,17,"f","(7,4,1,1,1,1,1,1)",466752,326672,"lower bound",326672,466752],[3,17,"f","(7,4,2,1,1,1,1)",1832600,1065616,"lower bound",1065616,1832600],[3,17,"f","(7,4,2,2,1,1)",2858856,1475103,"lower bound",1475103,2858856],[3,17,"f","(7,4,2,2,2)",1485120,737739,"lower bound",737739,1485120],[3,17,"f","(7,4,3,1,1,1)",2552550,1290016,"lower bound",1290016,2552550],[3,17,"f","(7,4,3,2,1)",3620864,1724688,"lower bound",1724688,3620864],[3,17,"f","(7,4,3,3)",952952,443983,"lower bound",443983,952952],[3,17,"f","(7,4,4,1,1)",1326000,638254,"lower bound",638254,1325990],[3,17,"f","(7,4,4,2)",1089088,515755,"lower bound",515755,1089078],[3,17,"f","(7,5,1,1,1,1,1)",565488,354181,"lower bound",354181,565488],[3,17,"f","(7,5,2,1,1,1)",1905904,1011406,"lower bound",1011406,1905904],[3,17,"f","(7,5,2,2,1)",2165800,1051390,"lower bound",1051390,2165800],[3,17,"f","(7,5,3,1,1)",2255526,1109826,"lower bound",1109826,2255499],[3,17,"f","(7,5,3,2)",1750320,832893,"lower bound",832893,1750293],[3,17,"f","(7,5,4,1)",1050192,544531,"lower bound",544531,1050132],[3,17,"f","(7,5,5)",136136,86294,"lower bound",86294,136112],[3,17,"f","(7,6,1,1,1,1)",408408,245192,"lower bound",245192,408408],[3,17,"f","(7,6,2,1,1)",1082900,570661,"lower bound",570661,1082865],[3,17,"f","(7,6,2,2)",680680,336299,"lower bound",336299,680645],[3,17,"f","(7,6,3,1)",918918,486256,"lower bound",486256,918822],[3,17,"f","(7,6,4)",243100,153401,"lower bound",153401,243040],[3,17,"f","(7,7,1,1,1)",148512,90438,"lower bound",90438,148484],[3,17,"f","(7,7,2,1)",272272,152615,"lower bound",152615,272188],[3,17,"f","(7,7,3)",121550,76065,"lower bound",76065,121490],[3,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[3,17,"f","(8,2,1,1,1,1,1,1,1)",85085,75740,"lower bound",75740,85085],[3,17,"f","(8,2,2,1,1,1,1,1)",272272,202835,"lower bound",202835,272272],[3,17,"f","(8,2,2,2,1,1,1)",466752,298402,"lower bound",298402,466752],[3,17,"f","(8,2,2,2,2,1)",399840,240322,"lower bound",240322,399840],[3,17,"f","(8,3,1,1,1,1,1,1)",272272,199938,"lower bound",199938,272272],[3,17,"f","(8,3,2,1,1,1,1)",972400,582622,"lower bound",582622,972400],[3,17,"f","(8,3,2,2,1,1)",1454112,770023,"lower bound",770023,1454112],[3,17,"f","(8,3,2,2,2)",742560,381569,"lower bound",381569,742560],[3,17,"f","(8,3,3,1,1,1)",1047200,526233,"lower bound",526233,1047200],[3,17,"f","(8,3,3,2,1)",1429428,675919,"lower bound",675919,1429428],[3,17,"f","(8,3,3,3)",346528,157653,"lower bound",157653,346528],[3,17,"f","(8,4,1,1,1,1,1)",486200,299215,"lower bound",299215,486200],[3,17,"f","(8,4,2,1,1,1)",1570800,809717,"lower bound",809717,1570800],[3,17,"f","(8,4,2,2,1)",1750320,833197,"lower bound",833197,1750320],[3,17,"f","(8,4,3,1,1)",1701700,801383,"lower bound",801383,1701665],[3,17,"f","(8,4,3,2)",1299480,597854,"lower bound",597854,1299445],[3,17,"f","(8,4,4,1)",618800,305164,"lower bound",305164,618740],[3,17,"f","(8,5,1,1,1,1)",523600,299284,"lower bound",299284,523600],[3,17,"f","(8,5,2,1,1)",1361360,685033,"lower bound",685033,1361296],[3,17,"f","(8,5,2,2)",848640,405544,"lower bound",405544,848576],[3,17,"f","(8,5,3,1)",1113840,563176,"lower bound",563176,1113672],[3,17,"f","(8,5,4)",272272,164137,"lower bound",164137,272176],[3,17,"f","(8,6,1,1,1)",340340,199023,"lower bound",199023,340259],[3,17,"f","(8,6,2,1)",618800,334595,"lower bound",334595,618560],[3,17,"f","(8,6,3)",272272,164154,"lower bound",164154,272104],[3,17,"f","(8,7,1,1)",123760,76721,"lower bound",76721,123588],[3,17,"f","(8,7,2)",116688,71588,"lower bound",71588,116496],[3,17,"f","(8,8,1)",19448,12976,"lower bound",12976,17574],[3,17,"f","(9,1,1,1,1,1,1,1,1)",12870,12557,"lower bound",12557,12862],[3,17,"f","(9,2,1,1,1,1,1,1)",85085,69087,"lower bound",69087,85085],[3,17,"f","(9,2,2,1,1,1,1)",233376,153026,"lower bound",153026,233376],[3,17,"f","(9,2,2,2,1,1)",318240,185553,"lower bound",185553,318240],[3,17,"f","(9,2,2,2,2)",157080,90354,"lower bound",90354,157080],[3,17,"f","(9,3,1,1,1,1,1)",238238,152635,"lower bound",152635,238238],[3,17,"f","(9,3,2,1,1,1)",700128,370463,"lower bound",370463,700128],[3,17,"f","(9,3,2,2,1)",749700,372119,"lower bound",372119,749700],[3,17,"f","(9,3,3,1,1)",586432,275598,"lower bound",275598,586404],[3,17,"f","(9,3,3,2)",433160,201690,"lower bound",201690,433132],[3,17,"f","(9,4,1,1,1,1)",364650,199784,"lower bound",199784,364650],[3,17,"f","(9,4,2,1,1)",908820,440143,"lower bound",440143,908739],[3,17,"f","(9,4,2,2)",556920,262087,"lower bound",262087,556839],[3,17,"f","(9,4,3,1)",680680,329470,"lower bound",329470,680488],[3,17,"f","(9,4,4)",129948,74122,"lower bound",74122,129864],[3,17,"f","(9,5,1,1,1)",327250,178023,"lower bound",178023,327125],[3,17,"f","(9,5,2,1)",583440,297670,"lower bound",297670,583080],[3,17,"f","(9,5,3)",247520,140840,"lower bound",140840,247280],[3,17,"f","(9,6,1,1)",170170,99423,"lower bound",99423,169844],[3,17,"f","(9,6,2)",159120,92458,"lower bound",92458,158760],[3,17,"f","(9,7,1)",46410,29767,"lower bound",29767,46143],[3,17,"f","(9,8)",4862,3648,"lower bound",3648,4131],[3,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,18,"f","(10,1,1,1,1,1,1,1,1)",24310,23245,"lower bound",23245,24310],[3,18,"f","(10,2,1,1,1,1,1,1)",162162,126103,"lower bound",126103,162162],[3,18,"f","(10,2,2,1,1,1,1)",447525,284131,"lower bound",284131,447525],[3,18,"f","(10,2,2,2,1,1)",612612,350012,"lower bound",350012,612612],[3,18,"f","(10,2,2,2,2)",302940,170036,"lower bound",170036,302940],[3,18,"f","(10,3,1,1,1,1,1)",459459,284479,"lower bound",284479,459459],[3,18,"f","(10,3,2,1,1,1)",1357824,712287,"lower bound",712287,1357824],[3,18,"f","(10,3,2,2,1)",1458600,724861,"lower bound",724861,1458600],[3,18,"f","(10,3,3,1,1)",1145664,544873,"lower bound",544873,1145628],[3,18,"f","(10,3,3,2)",848232,400963,"lower bound",400963,848196],[3,18,"f","(10,4,1,1,1,1)",714714,382792,"lower bound",382792,714714],[3,18,"f","(10,4,2,1,1)",1790100,869535,"lower bound",869535,1789995],[3,18,"f","(10,4,2,2)",1099560,523985,"lower bound",523985,1099455],[3,18,"f","(10,4,3,1)",1349460,657351,"lower bound",657351,1349208],[3,18,"f","(10,4,4)",259896,143890,"lower bound",143890,259784],[3,18,"f","(10,5,1,1,1)",656370,346958,"lower bound",346958,656205],[3,18,"f","(10,5,2,1)",1175040,596197,"lower bound",596197,1174560],[3,18,"f","(10,5,3)",501228,277323,"lower bound",277323,500904],[3,18,"f","(10,6,1,1)",353430,199916,"lower bound",199916,352980],[3,18,"f","(10,6,2)",331500,188223,"lower bound",188223,331000],[3,18,"f","(10,7,1)",102102,63940,"lower bound",63940,101708],[3,18,"f","(10,8)",11934,8771,"lower bound",8771,10586],[3,18,"f","(11,1,1,1,1,1,1,1)",19448,17754,"lower bound",17754,19434],[3,18,"f","(11,2,1,1,1,1,1)",112320,76860,"lower bound",76860,112320],[3,18,"f","(11,2,2,1,1,1)",255255,143220,"lower bound",143220,255255],[3,18,"f","(11,2,2,2,1)",251328,134205,"lower bound",134205,251328],[3,18,"f","(11,3,1,1,1,1)",268515,145059,"lower bound",145059,268515],[3,18,"f","(11,3,2,1,1)",612612,297538,"lower bound",297538,612513],[3,18,"f","(11,3,2,2)",363528,176028,"lower bound",176028,363429],[3,18,"f","(11,3,3,1)",358020,171052,"lower bound",171052,357840],[3,18,"f","(11,4,1,1,1)",339456,167434,"lower bound",167434,339264],[3,18,"f","(11,4,2,1)",583440,280710,"lower bound",280710,582912],[3,18,"f","(11,4,3)",228480,119646,"lower bound",119646,228160],[3,18,"f","(11,5,1,1)",238680,123285,"lower bound",123285,238113],[3,18,"f","(11,5,2)",219912,116215,"lower bound",116215,219296],[3,18,"f","(11,6,1)",88128,51256,"lower bound",51256,87582],[3,18,"f","(11,7)",13260,9352,"lower bound",9352,11485],[3,18,"f","(12,1,1,1,1,1,1)",12376,10489,"lower bound",10489,12067],[3,18,"f","(12,2,1,1,1,1)",60060,35761,"lower bound",35761,60060],[3,18,"f","(12,2,2,1,1)",106029,54232,"lower bound",54232,105963],[3,18,"f","(12,2,2,2)",58344,29929,"lower bound",29929,58278],[3,18,"f","(12,3,1,1,1)",116025,56573,"lower bound",56573,115830],[3,18,"f","(12,3,2,1)",182784,87220,"lower bound",87220,182304],[3,18,"f","(12,3,3)",56100,28615,"lower bound",28615,55880],[3,18,"f","(12,4,1,1)",111384,53438,"lower bound",53438,110763],[3,18,"f","(12,4,2)",99144,49732,"lower bound",49732,98496],[3,18,"f","(12,5,1)",53040,28189,"lower bound",28189,52396],[3,18,"f","(12,6)",9996,6492,"lower bound",6492,8228],[3,18,"f","(13,1,1,1,1,1)",6188,4389,"lower bound",4389,5584],[3,18,"f","(13,2,1,1,1)",24192,12098,"lower bound",12098,24024],[3,18,"f","(13,2,2,1)",29835,14327,"lower bound",14327,29523],[3,18,"f","(13,3,1,1)",35343,16293,"lower bound",16293,34749],[3,18,"f","(13,3,2)",29172,14353,"lower bound",14353,28600],[3,18,"f","(13,4,1)",22848,11107,"lower bound",11107,22178],[3,18,"f","(13,5)",5508,3012,"lower bound",3012,4114],[3,18,"f","(14,1,1,1,1)",2380,1086,"lower bound",1086,1673],[3,18,"f","(14,2,1,1)",7020,2620,"lower bound",2620,4641],[3,18,"f","(14,2,2)",4641,1924,"lower bound",1924,2975],[3,18,"f","(14,3,1)",6885,2769,"lower bound",2769,4318],[3,18,"f","(14,4)",2244,869,"lower bound",869,1352],[3,18,"f","(15,1,1,1)",680,120,"lower bound",120,220],[3,18,"f","(15,2,1)",1344,240,"lower bound",240,440],[3,18,"f","(15,3)",663,120,"lower bound",120,220],[3,18,"f","(16,1,1)",136,0,"exact",0,0],[3,18,"f","(16,2)",135,0,"exact",0,0],[3,18,"f","(17,1)",17,0,"exact",0,0],[3,18,"f","(18)",1,0,"exact",0,0],[3,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[3,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[3,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[3,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[3,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[3,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[3,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[3,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[3,18,"f","(2,2,2,2,2,2,2,2,2)",4862,4856,"lower bound",4856,4862],[3,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[3,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[3,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[3,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[3,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[3,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[3,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[3,18,"f","(3,2,2,2,2,2,2,2,1)",70720,65174,"lower bound",65174,70720],[3,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[3,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[3,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[3,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[3,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[3,18,"f","(3,3,2,2,2,2,2,1,1)",322218,280585,"lower bound",280585,322218],[3,18,"f","(3,3,2,2,2,2,2,2)",136136,117171,"lower bound",117171,136136],[3,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[3,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[3,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[3,18,"f","(3,3,3,2,2,2,1,1,1)",678912,578242,"lower bound",578242,678912],[3,18,"f","(3,3,3,2,2,2,2,1)",510510,424056,"lower bound",424056,510510],[3,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[3,18,"f","(3,3,3,3,2,1,1,1,1)",649740,549972,"lower bound",549972,649740],[3,18,"f","(3,3,3,3,2,2,1,1)",787644,643220,"lower bound",643220,787644],[3,18,"f","(3,3,3,3,2,2,2)",364650,293781,"lower bound",293781,364650],[3,18,"f","(3,3,3,3,3,1,1,1)",408408,331544,"lower bound",331544,408408],[3,18,"f","(3,3,3,3,3,2,1)",466752,372809,"lower bound",372809,466752],[3,18,"f","(3,3,3,3,3,3)",87516,69669,"lower bound",69669,87516],[3,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[3,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[3,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[3,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[3,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[3,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[3,18,"f","(4,2,2,2,2,2,2,1,1)",340340,290961,"lower bound",290961,340340],[3,18,"f","(4,2,2,2,2,2,2,2)",143208,120369,"lower bound",120369,143208],[3,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[3,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[3,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[3,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[3,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,1248083,"lower bound",1248083,1531530],[3,18,"f","(4,3,2,2,2,2,2,1)",1131520,888727,"lower bound",888727,1131520],[3,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[3,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[3,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,2104943,"lower bound",2104943,2625480],[3,18,"f","(4,3,3,2,2,2,1,1)",2923830,2216135,"lower bound",2216135,2923830],[3,18,"f","(4,3,3,2,2,2,2)",1312740,969966,"lower bound",969966,1312740],[3,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,1141407,"lower bound",1141407,1429428],[3,18,"f","(4,3,3,3,2,1,1,1)",3055104,2279564,"lower bound",2279564,3055104],[3,18,"f","(4,3,3,3,2,2,1)",2756754,1986754,"lower bound",1986754,2756754],[3,18,"f","(4,3,3,3,3,1,1)",1575288,1126501,"lower bound",1126501,1575288],[3,18,"f","(4,3,3,3,3,2)",1021020,721456,"lower bound",721456,1021020],[3,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[3,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[3,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[3,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,1560708,"lower bound",1560708,1989000],[3,18,"f","(4,4,2,2,2,2,1,1)",2148120,1574895,"lower bound",1574895,2148120],[3,18,"f","(4,4,2,2,2,2,2)",952952,676156,"lower bound",676156,952952],[3,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[3,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,2321353,"lower bound",2321353,2970240],[3,18,"f","(4,4,3,2,2,1,1,1)",5012280,3588611,"lower bound",3588611,5012280],[3,18,"f","(4,4,3,2,2,2,1)",4200768,2862179,"lower bound",2862179,4200768],[3,18,"f","(4,4,3,3,1,1,1,1)",3007368,2135123,"lower bound",2135123,3007368],[3,18,"f","(4,4,3,3,2,1,1)",5250960,3518889,"lower bound",3518889,5250960],[3,18,"f","(4,4,3,3,2,2)",2756754,1806989,"lower bound",1806989,2756754],[3,18,"f","(4,4,3,3,3,1)",2042040,1333553,"lower bound",1333553,2042040],[3,18,"f","(4,4,4,1,1,1,1,1,1)",779688,609052,"lower bound",609052,779688],[3,18,"f","(4,4,4,2,1,1,1,1)",2598960,1818795,"lower bound",1818795,2598960],[3,18,"f","(4,4,4,2,2,1,1)",3675672,2400155,"lower bound",2400155,3675672],[3,18,"f","(4,4,4,2,2,2)",1823250,1157075,"lower bound",1157075,1823250],[3,18,"f","(4,4,4,3,1,1,1)",2858856,1853172,"lower bound",1853172,2858856],[3,18,"f","(4,4,4,3,2,1)",3734016,2349531,"lower bound",2349531,3734016],[3,18,"f","(4,4,4,3,3)",875160,550314,"lower bound",550314,875160],[3,18,"f","(4,4,4,4,1,1)",1021020,636495,"lower bound",636495,1021020],[3,18,"f","(4,4,4,4,2)",787644,490593,"lower bound",490593,787644],[3,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[3,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[3,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[3,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[3,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[3,18,"f","(5,2,2,2,2,2,1,1,1)",837760,675952,"lower bound",675952,837760],[3,18,"f","(5,2,2,2,2,2,2,1)",612612,476400,"lower bound",476400,612612],[3,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[3,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[3,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,2460394,"lower bound",2460394,3180870],[3,18,"f","(5,3,2,2,2,2,1,1)",3403400,2473781,"lower bound",2473781,3403400],[3,18,"f","(5,3,2,2,2,2,2)",1503684,1061747,"lower bound",1061747,1503684],[3,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[3,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,2957401,"lower bound",2957401,3877632],[3,18,"f","(5,3,3,2,2,1,1,1)",6432426,4512434,"lower bound",4512434,6432426],[3,18,"f","(5,3,3,2,2,2,1)",5346432,3582923,"lower bound",3582923,5346432],[3,18,"f","(5,3,3,3,1,1,1,1)",3646500,2520200,"lower bound",2520200,3646500],[3,18,"f","(5,3,3,3,2,1,1)",6265350,4093845,"lower bound",4093845,6265350],[3,18,"f","(5,3,3,3,2,2)",3267264,2091114,"lower bound",2091114,3267264],[3,18,"f","(5,3,3,3,3,1)",2362932,1498662,"lower bound",1498662,2362932],[3,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[3,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[3,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,3001415,"lower bound",3001415,3965760],[3,18,"f","(5,4,2,2,2,1,1,1)",6126120,4215818,"lower bound",4215818,6126120],[3,18,"f","(5,4,2,2,2,2,1)",4950400,3224826,"lower bound",3224826,4950400],[3,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,2421423,"lower bound",2421423,3198720],[3,18,"f","(5,4,3,2,1,1,1,1)",9801792,6619416,"lower bound",6619416,9801792],[3,18,"f","(5,4,3,2,2,1,1)",13366080,8391495,"lower bound",8391495,13366080],[3,18,"f","(5,4,3,2,2,2)",6534528,3980385,"lower bound",3980385,6534528],[3,18,"f","(5,4,3,3,1,1,1)",8486400,5250545,"lower bound",5250545,8486400],[3,18,"f","(5,4,3,3,2,1)",10720710,6401626,"lower bound",6401626,10720710],[3,18,"f","(5,4,3,3,3)",2333760,1379001,"lower bound",1379001,2333760],[3,18,"f","(5,4,4,1,1,1,1,1)",2858856,1913526,"lower bound",1913526,2858856],[3,18,"f","(5,4,4,2,1,1,1)",8019648,4884258,"lower bound",4884258,8019648],[3,18,"f","(5,4,4,2,2,1)",8270262,4822001,"lower bound",4822001,8270262],[3,18,"f","(5,4,4,3,1,1)",7088796,4101464,"lower bound",4101464,7088796],[3,18,"f","(5,4,4,3,2)",5105100,2925579,"lower bound",2925579,5105100],[3,18,"f","(5,4,4,4,1)",1867008,1065648,"lower bound",1065648,1867008],[3,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[3,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,1250318,"lower bound",1250318,1649340],[3,18,"f","(5,5,2,2,1,1,1,1)",3978000,2655830,"lower bound",2655830,3978000],[3,18,"f","(5,5,2,2,2,1,1)",5012280,3070389,"lower bound",3070389,5012280],[3,18,"f","(5,5,2,2,2,2)",2382380,1404879,"lower bound",1404879,2382380],[3,18,"f","(5,5,3,1,1,1,1,1)",3508596,2333366,"lower bound",2333366,3508596],[3,18,"f","(5,5,3,2,1,1,1)",9165312,5491569,"lower bound",5491569,9165312],[3,18,"f","(5,5,3,2,2,1)",9189180,5228376,"lower bound",5228376,9189180],[3,18,"f","(5,5,3,3,1,1)",6534528,3672976,"lower bound",3672976,6534528],[3,18,"f","(5,5,3,3,2)",4594590,2540627,"lower bound",2540627,4594590],[3,18,"f","(5,5,4,1,1,1,1)",3508596,2085123,"lower bound",2085123,3508596],[3,18,"f","(5,5,4,2,1,1)",7876440,4376609,"lower bound",4376609,7876440],[3,18,"f","(5,5,4,2,2)",4594590,2499152,"lower bound",2499152,4594590],[3,18,"f","(5,5,4,3,1)",5105100,2771659,"lower bound",2771659,5105100],[3,18,"f","(5,5,4,4)",787644,429736,"lower bound",429736,787644],[3,18,"f","(5,5,5,1,1,1)",1429428,788206,"lower bound",788206,1429428],[3,18,"f","(5,5,5,2,1)",2333760,1245776,"lower bound",1245776,2333760],[3,18,"f","(5,5,5,3)",875160,467509,"lower bound",467509,875160],[3,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[3,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[3,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[3,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,937593,"lower bound",937593,1215500],[3,18,"f","(6,2,2,2,2,2,1,1)",1272348,923535,"lower bound",923535,1272348],[3,18,"f","(6,2,2,2,2,2,2)",556920,393399,"lower bound",393399,556920],[3,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[3,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[3,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,2636719,"lower bound",2636719,3544398],[3,18,"f","(6,3,2,2,2,1,1,1)",5361664,3637584,"lower bound",3637584,5361664],[3,18,"f","(6,3,2,2,2,2,1)",4288284,2766503,"lower bound",2766503,4288284],[3,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,1720385,"lower bound",1720385,2333760],[3,18,"f","(6,3,3,2,1,1,1,1)",6872250,4509510,"lower bound",4509510,6872250],[3,18,"f","(6,3,3,2,2,1,1)",9189180,5610569,"lower bound",5610569,9189180],[3,18,"f","(6,3,3,2,2,2)",4455360,2644715,"lower bound",2644715,4455360],[3,18,"f","(6,3,3,3,1,1,1)",5469750,3257070,"lower bound",3257070,5469750],[3,18,"f","(6,3,3,3,2,1)",6789120,3897447,"lower bound",3897447,6789120],[3,18,"f","(6,3,3,3,3)",1429428,806114,"lower bound",806114,1429428],[3,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,2388517,"lower bound",2388517,3222180],[3,18,"f","(6,4,2,2,1,1,1,1)",7634088,4980563,"lower bound",4980563,7634088],[3,18,"f","(6,4,2,2,2,1,1)",9529520,5717022,"lower bound",5717022,9529520],[3,18,"f","(6,4,2,2,2,2)",4511052,2612594,"lower bound",2612594,4511052],[3,18,"f","(6,4,3,1,1,1,1,1)",6361740,4109091,"lower bound",4109091,6361740],[3,18,"f","(6,4,3,2,1,1,1)",16336320,9489613,"lower bound",9489613,16336320],[3,18,"f","(6,4,3,2,2,1)",16243500,8970280,"lower bound",8970280,16243500],[3,18,"f","(6,4,3,3,1,1)",11277630,6111806,"lower bound",6111806,11277630],[3,18,"f","(6,4,3,3,2)",7876440,4200587,"lower bound",4200587,7876440],[3,18,"f","(6,4,4,1,1,1,1)",5105100,2923404,"lower bound",2923404,5105100],[3,18,"f","(6,4,4,2,1,1)",11277630,6024469,"lower bound",6024469,11277630],[3,18,"f","(6,4,4,2,2)",6534528,3417956,"lower bound",3417956,6534528],[3,18,"f","(6,4,4,3,1)",7088796,3682480,"lower bound",3682480,7088796],[3,18,"f","(6,4,4,4)",1021020,530516,"lower bound",530516,1021020],[3,18,"f","(6,5,1,1,1,1,1,1,1)",875160,668055,"lower bound",668055,875160],[3,18,"f","(6,5,2,1,1,1,1,1)",4230144,2772161,"lower bound",2772161,4230144],[3,18,"f","(6,5,2,2,1,1,1)",8576568,4967055,"lower bound",4967055,8576568],[3,18,"f","(6,5,2,2,2,1)",7920640,4296274,"lower bound",4296274,7920640],[3,18,"f","(6,5,3,1,1,1,1)",7876440,4524716,"lower bound",4524716,7876440],[3,18,"f","(6,5,3,2,1,1)",16243500,8590545,"lower bound",8590545,16243500],[3,18,"f","(6,5,3,2,2)",9189180,4718755,"lower bound",4718755,9189180],[3,18,"f","(6,5,3,3,1)",8270262,4199792,"lower bound",4199792,8270262],[3,18,"f","(6,5,4,1,1,1)",6789120,3587067,"lower bound",3587067,6789120],[3,18,"f","(6,5,4,2,1)",10720710,5440885,"lower bound",5440885,10720710],[3,18,"f","(6,5,4,3)",3734016,1882561,"lower bound",1882561,3734016],[3,18,"f","(6,5,5,1,1)",2362932,1226630,"lower bound",1226630,2362929],[3,18,"f","(6,5,5,2)",2042040,1046143,"lower bound",1046143,2042037],[3,18,"f","(6,6,1,1,1,1,1,1)",659736,453008,"lower bound",453008,659736],[3,18,"f","(6,6,2,1,1,1,1)",2784600,1636918,"lower bound",1636918,2784600],[3,18,"f","(6,6,2,2,1,1)",4511052,2384626,"lower bound",2384626,4511052],[3,18,"f","(6,6,2,2,2)",2382380,1204310,"lower bound",1204310,2382380],[3,18,"f","(6,6,3,1,1,1)",4455360,2358672,"lower bound",2358672,4455360],[3,18,"f","(6,6,3,2,1)",6534528,3268095,"lower bound",3268095,6534528],[3,18,"f","(6,6,3,3)",1823250,895239,"lower bound",895239,1823250],[3,18,"f","(6,6,4,1,1)",3267264,1682255,"lower bound",1682255,3267258],[3,18,"f","(6,6,4,2)",2756754,1391262,"lower bound",1391262,2756748],[3,18,"f","(6,6,5,1)",1021020,560305,"lower bound",560305,1021008],[3,18,"f","(6,6,6)",87516,56999,"lower bound",56999,87512],[3,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[3,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[3,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[3,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,832041,"lower bound",832041,1089088],[3,18,"f","(7,2,2,2,2,1,1,1)",1575288,1092603,"lower bound",1092603,1575288],[3,18,"f","(7,2,2,2,2,2,1)",1233792,813443,"lower bound",813443,1233792],[3,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[3,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,1600037,"lower bound",1600037,2144142],[3,18,"f","(7,3,2,2,1,1,1,1)",4862000,3174016,"lower bound",3174016,4862000],[3,18,"f","(7,3,2,2,2,1,1)",5937624,3560972,"lower bound",3560972,5937624],[3,18,"f","(7,3,2,2,2,2)",2784600,1615664,"lower bound",1615664,2784600],[3,18,"f","(7,3,3,1,1,1,1,1)",3281850,2094614,"lower bound",2094614,3281850],[3,18,"f","(7,3,3,2,1,1,1)",8078400,4595640,"lower bound",4595640,8078400],[3,18,"f","(7,3,3,2,2,1)",7876440,4250354,"lower bound",4250354,7876440],[3,18,"f","(7,3,3,3,1,1)",5105100,2664370,"lower bound",2664370,5105100],[3,18,"f","(7,3,3,3,2)",3508596,1797363,"lower bound",1797363,3508596],[3,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,770710,"lower bound",770710,1018368],[3,18,"f","(7,4,2,1,1,1,1,1)",4725864,3045794,"lower bound",3045794,4725864],[3,18,"f","(7,4,2,2,1,1,1)",9382912,5322522,"lower bound",5322522,9382912],[3,18,"f","(7,4,2,2,2,1)",8576568,4564295,"lower bound",4564295,8576568],[3,18,"f","(7,4,3,1,1,1,1)",8078400,4498701,"lower bound",4498701,8078400],[3,18,"f","(7,4,3,2,1,1)",16336320,8347132,"lower bound",8347132,16336320],[3,18,"f","(7,4,3,2,2)",9165312,4552929,"lower bound",4552929,9165312],[3,18,"f","(7,4,3,3,1)",8019648,3905776,"lower bound",3905776,8019648],[3,18,"f","(7,4,4,1,1,1)",5469750,2766625,"lower bound",2766625,5469750],[3,18,"f","(7,4,4,2,1)",8486400,4118071,"lower bound",4118071,8486400],[3,18,"f","(7,4,4,3)",2858856,1372906,"lower bound",1372906,2858856],[3,18,"f","(7,5,1,1,1,1,1,1)",1432080,965772,"lower bound",965772,1432080],[3,18,"f","(7,5,2,1,1,1,1)",5937624,3409750,"lower bound",3409750,5937624],[3,18,"f","(7,5,2,2,1,1)",9529520,4921122,"lower bound",4921122,9529520],[3,18,"f","(7,5,2,2,2)",5012280,2482318,"lower bound",2482318,5012280],[3,18,"f","(7,5,3,1,1,1)",9189180,4722480,"lower bound",4722480,9189180],[3,18,"f","(7,5,3,2,1)",13366080,6500131,"lower bound",6500131,13366080],[3,18,"f","(7,5,3,3)",3675672,1753633,"lower bound",1753633,3675672],[3,18,"f","(7,5,4,1,1)",6265350,3125176,"lower bound",3125176,6265335],[3,18,"f","(7,5,4,2)",5250960,2573427,"lower bound",2573427,5250945],[3,18,"f","(7,5,5,1)",1575288,841599,"lower bound",841599,1575264],[3,18,"f","(7,6,1,1,1,1,1)",1233792,767462,"lower bound",767462,1233792],[3,18,"f","(7,6,2,1,1,1)",4288284,2317541,"lower bound",2317541,4288284],[3,18,"f","(7,6,2,2,1)",4950400,2469471,"lower bound",2469471,4950400],[3,18,"f","(7,6,3,1,1)",5346432,2723901,"lower bound",2723901,5346408],[3,18,"f","(7,6,3,2)",4200768,2073930,"lower bound",2073930,4200744],[3,18,"f","(7,6,4,1)",2756754,1476720,"lower bound",1476720,2756694],[3,18,"f","(7,6,5)",466752,296694,"lower bound",296694,466720],[3,18,"f","(7,7,1,1,1,1)",556920,335630,"lower bound",335630,556920],[3,18,"f","(7,7,2,1,1)",1503684,813714,"lower bound",813714,1503663],[3,18,"f","(7,7,2,2)",952952,488914,"lower bound",488914,952931],[3,18,"f","(7,7,3,1)",1312740,714936,"lower bound",714936,1312680],[3,18,"f","(7,7,4)",364650,229466,"lower bound",229466,364610],[3,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[3,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[3,18,"f","(8,2,2,1,1,1,1,1,1)",595595,474398,"lower bound",474398,595595],[3,18,"f","(8,2,2,2,1,1,1,1)",1225224,847045,"lower bound",847045,1225224],[3,18,"f","(8,2,2,2,2,1,1)",1432080,906215,"lower bound",906215,1432080],[3,18,"f","(8,2,2,2,2,2)",659736,404348,"lower bound",404348,659736],[3,18,"f","(8,3,1,1,1,1,1,1,1)",590733,465813,"lower bound",465813,590733],[3,18,"f","(8,3,2,1,1,1,1,1)",2489344,1651684,"lower bound",1651684,2489344],[3,18,"f","(8,3,2,2,1,1,1)",4725864,2738129,"lower bound",2738129,4725864],[3,18,"f","(8,3,2,2,2,1)",4230144,2300903,"lower bound",2300903,4230144],[3,18,"f","(8,3,3,1,1,1,1)",3281850,1832035,"lower bound",1832035,3281850],[3,18,"f","(8,3,3,2,1,1)",6361740,3230917,"lower bound",3230917,6361740],[3,18,"f","(8,3,3,2,2)",3508596,1732477,"lower bound",1732477,3508596],[3,18,"f","(8,3,3,3,1)",2858856,1360811,"lower bound",1360811,2858856],[3,18,"f","(8,4,1,1,1,1,1,1)",1225224,825825,"lower bound",825825,1225224],[3,18,"f","(8,4,2,1,1,1,1)",4862000,2757170,"lower bound",2757170,4862000],[3,18,"f","(8,4,2,2,1,1)",7634088,3888040,"lower bound",3888040,7634088],[3,18,"f","(8,4,2,2,2)",3978000,1952505,"lower bound",1952505,3978000],[3,18,"f","(8,4,3,1,1,1)",6872250,3427349,"lower bound",3427349,6872250],[3,18,"f","(8,4,3,2,1)",9801792,4633041,"lower bound",4633041,9801792],[3,18,"f","(8,4,3,3)",2598960,1199490,"lower bound",1199490,2598960],[3,18,"f","(8,4,4,1,1)",3646500,1744801,"lower bound",1744801,3646485],[3,18,"f","(8,4,4,2)",3007368,1418773,"lower bound",1418773,3007353],[3,18,"f","(8,5,1,1,1,1,1)",1575288,952680,"lower bound",952680,1575288],[3,18,"f","(8,5,2,1,1,1)",5361664,2805440,"lower bound",2805440,5361664],[3,18,"f","(8,5,2,2,1)",6126120,2975164,"lower bound",2975164,6126120],[3,18,"f","(8,5,3,1,1)",6432426,3159418,"lower bound",3159418,6432384],[3,18,"f","(8,5,3,2)",5012280,2399467,"lower bound",2399467,5012238],[3,18,"f","(8,5,4,1)",3055104,1577008,"lower bound",1577008,3055008],[3,18,"f","(8,5,5)",408408,250431,"lower bound",250431,408368],[3,18,"f","(8,6,1,1,1,1)",1272348,743499,"lower bound",743499,1272348],[3,18,"f","(8,6,2,1,1)",3403400,1789312,"lower bound",1789312,3403340],[3,18,"f","(8,6,2,2)",2148120,1076438,"lower bound",1076438,2148060],[3,18,"f","(8,6,3,1)",2923830,1548181,"lower bound",1548181,2923662],[3,18,"f","(8,6,4)",787644,481692,"lower bound",481692,787536],[3,18,"f","(8,7,1,1,1)",612612,366182,"lower bound",366182,612549],[3,18,"f","(8,7,2,1)",1131520,635519,"lower bound",635519,1131328],[3,18,"f","(8,7,3)",510510,311807,"lower bound",311807,510370],[3,18,"f","(8,8,1,1)",143208,89697,"lower bound",89697,143109],[3,18,"f","(8,8,2)",136136,84564,"lower bound",84564,136024],[3,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"f","(9,2,1,1,1,1,1,1,1)",183040,157384,"lower bound",157384,183040],[3,18,"f","(9,2,2,1,1,1,1,1)",590733,424948,"lower bound",424948,590733],[3,18,"f","(9,2,2,2,1,1,1)",1018368,636981,"lower bound",636981,1018368],[3,18,"f","(9,2,2,2,2,1)",875160,516229,"lower bound",516229,875160],[3,18,"f","(9,3,1,1,1,1,1,1)",595595,421660,"lower bound",421660,595595],[3,18,"f","(9,3,2,1,1,1,1)",2144142,1258746,"lower bound",1258746,2144142],[3,18,"f","(9,3,2,2,1,1)",3222180,1698158,"lower bound",1698158,3222180],[3,18,"f","(9,3,2,2,2)",1649340,844042,"lower bound",844042,1649340],[3,18,"f","(9,3,3,1,1,1)",2333760,1172294,"lower bound",1172294,2333760],[3,18,"f","(9,3,3,2,1)",3198720,1525326,"lower bound",1525326,3198720],[3,18,"f","(9,3,3,3)",779688,359343,"lower bound",359343,779688],[3,18,"f","(9,4,1,1,1,1,1)",1089088,651634,"lower bound",651634,1089088],[3,18,"f","(9,4,2,1,1,1)",3544398,1820107,"lower bound",1820107,3544398],[3,18,"f","(9,4,2,2,1)",3965760,1907546,"lower bound",1907546,3965760],[3,18,"f","(9,4,3,1,1)",3877632,1846594,"lower bound",1846594,3877584],[3,18,"f","(9,4,3,2)",2970240,1391101,"lower bound",1391101,2970192],[3,18,"f","(9,4,4,1)",1429428,708756,"lower bound",708756,1429344],[3,18,"f","(9,5,1,1,1,1)",1215500,677091,"lower bound",677091,1215500],[3,18,"f","(9,5,2,1,1)",3180870,1600869,"lower bound",1600869,3180780],[3,18,"f","(9,5,2,2)",1989000,965301,"lower bound",965301,1988910],[3,18,"f","(9,5,3,1)",2625480,1331156,"lower bound",1331156,2625240],[3,18,"f","(9,5,4)",649740,379099,"lower bound",379099,649600],[3,18,"f","(9,6,1,1,1)",837760,476469,"lower bound",476469,837640],[3,18,"f","(9,6,2,1)",1531530,824146,"lower bound",824146,1531170],[3,18,"f","(9,6,3)",678912,397452,"lower bound",397452,678656],[3,18,"f","(9,7,1,1)",340340,205911,"lower bound",205911,340052],[3,18,"f","(9,7,2)",322218,193813,"lower bound",193813,321894],[3,18,"f","(9,8,1)",70720,46391,"lower bound",46391,70514],[3,18,"f","(9,9)",4862,3648,"lower bound",3648,4378],[3,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,19,"f","(10,9)",16796,12419,"lower bound",12419,16641],[3,19,"f","(13,1,1,1,1,1,1)",18564,14878,"lower bound",14878,18545],[3,19,"f","(13,6)",15504,9504,"lower bound",9504,15236],[3,19,"f","(14,1,1,1,1,1)",8568,5475,"lower bound",5475,8522],[3,19,"f","(14,5)",7752,3881,"lower bound",3881,7462],[3,19,"f","(15,1,1,1,1)",3060,1206,"lower bound",1206,2940],[3,19,"f","(15,2,1,1)",9044,2980,"lower bound",2980,8505],[3,19,"f","(15,2,2)",5985,2164,"lower bound",2164,5565],[3,19,"f","(15,3,1)",8892,3129,"lower bound",3129,8190],[3,19,"f","(15,4)",2907,989,"lower bound",989,2625],[3,19,"f","(16,1,1,1)",816,120,"lower bound",120,560],[3,19,"f","(16,2,1)",1615,240,"lower bound",240,1120],[3,19,"f","(16,3)",798,120,"lower bound",120,560],[3,19,"f","(17,1,1)",153,0,"exact",0,0],[3,19,"f","(17,2)",152,0,"exact",0,0],[3,19,"f","(18,1)",18,0,"exact",0,0],[3,19,"f","(19)",1,0,"exact",0,0],[3,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[3,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[3,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,20,"f","(10,10)",16796,12419,"lower bound",12419,16701],[3,20,"f","(15,1,1,1,1,1)",11628,6681,"lower bound",6681,11579],[3,20,"f","(15,5)",10659,4870,"lower bound",4870,10318],[3,20,"f","(16,1,1,1,1)",3876,1326,"lower bound",1326,3740],[3,20,"f","(16,2,1,1)",11475,3340,"lower bound",3340,10860],[3,20,"f","(16,2,2)",7600,2404,"lower bound",2404,7120],[3,20,"f","(16,3,1)",11305,3489,"lower bound",3489,10500],[3,20,"f","(16,4)",3705,1109,"lower bound",1109,3380],[3,20,"f","(17,1,1,1)",969,120,"lower bound",120,680],[3,20,"f","(17,2,1)",1920,240,"lower bound",240,1360],[3,20,"f","(17,3)",950,120,"lower bound",120,680],[3,20,"f","(18,1,1)",171,0,"exact",0,0],[3,20,"f","(18,2)",170,0,"exact",0,0],[3,20,"f","(19,1)",19,0,"exact",0,0],[3,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[3,20,"f","(20)",1,0,"exact",0,0],[3,21,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,21,"f","(16,1,1,1,1,1)",15504,8007,"lower bound",8007,15451],[3,21,"f","(16,5)",14364,5979,"lower bound",5979,13968],[3,21,"f","(17,1,1,1,1)",4845,1446,"lower bound",1446,4692],[3,21,"f","(17,2,1,1)",14364,3700,"lower bound",3700,13668],[3,21,"f","(17,2,2)",9520,2644,"lower bound",2644,8976],[3,21,"f","(17,3,1)",14175,3849,"lower bound",3849,13260],[3,21,"f","(17,4)",4655,1229,"lower bound",1229,4284],[3,21,"f","(18,1,1,1)",1140,120,"lower bound",120,816],[3,21,"f","(18,2,1)",2261,240,"lower bound",240,1632],[3,21,"f","(18,3)",1120,120,"lower bound",120,816],[3,21,"f","(19,1,1)",190,0,"exact",0,0],[3,21,"f","(19,2)",189,0,"exact",0,0],[3,21,"f","(20,1)",20,0,"exact",0,0],[3,21,"f","(21)",1,0,"exact",0,0],[3,22,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,22,"f","(17,5)",19019,7208,"lower bound",7208,18564],[3,22,"f","(18,1,1,1,1)",5985,1566,"lower bound",1566,5814],[3,22,"f","(18,2,1,1)",17765,4060,"lower bound",4060,16983],[3,22,"f","(18,2,2)",11781,2884,"lower bound",2884,11169],[3,22,"f","(18,3,1)",17556,4209,"lower bound",4209,16524],[3,22,"f","(18,4)",5775,1349,"lower bound",1349,5355],[3,22,"f","(19,1,1,1)",1330,120,"lower bound",120,969],[3,22,"f","(19,2,1)",2640,240,"lower bound",240,1938],[3,22,"f","(19,3)",1309,120,"lower bound",120,969],[3,22,"f","(20,1,1)",210,0,"exact",0,0],[3,22,"f","(20,2)",209,0,"exact",0,0],[3,22,"f","(21,1)",21,0,"exact",0,0],[3,22,"f","(22)",1,0,"exact",0,0],[3,23,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,23,"f","(19,1,1,1,1)",7315,1686,"lower bound",1686,7125],[3,23,"f","(19,2,2)",14421,3124,"lower bound",3124,13737],[3,23,"f","(19,4)",7084,1469,"lower bound",1469,6612],[3,23,"f","(20,1,1,1)",1540,120,"lower bound",120,1140],[3,23,"f","(20,2,1)",3059,240,"lower bound",240,2280],[3,23,"f","(20,3)",1518,120,"lower bound",120,1140],[3,23,"f","(21,1,1)",231,0,"exact",0,0],[3,23,"f","(21,2)",230,0,"exact",0,0],[3,23,"f","(22,1)",22,0,"exact",0,0],[3,23,"f","(23)",1,0,"exact",0,0],[3,24,"f","(20,1,1,1,1)",8855,1806,"lower bound",1806,8645],[3,24,"f","(20,2,2)",17480,3364,"lower bound",3364,16720],[3,24,"f","(20,4)",8602,1589,"lower bound",1589,8075],[3,24,"f","(21,1,1,1)",1771,120,"lower bound",120,1330],[3,24,"f","(21,2,1)",3520,240,"lower bound",240,2660],[3,24,"f","(21,3)",1748,120,"lower bound",120,1330],[3,24,"f","(22,1,1)",253,0,"exact",0,0],[3,24,"f","(22,2)",252,0,"exact",0,0],[3,24,"f","(23,1)",23,0,"exact",0,0],[3,24,"f","(24)",1,0,"exact",0,0],[3,25,"f","(21,1,1,1,1)",10626,1926,"lower bound",1926,10395],[3,25,"f","(21,4)",10350,1709,"lower bound",1709,9765],[3,25,"f","(22,1,1,1)",2024,120,"lower bound",120,1540],[3,25,"f","(22,2,1)",4025,240,"lower bound",240,3080],[3,25,"f","(22,3)",2000,120,"lower bound",120,1540],[3,25,"f","(23,1,1)",276,0,"exact",0,0],[3,25,"f","(23,2)",275,0,"exact",0,0],[3,25,"f","(24,1)",24,0,"exact",0,0],[3,25,"f","(25)",1,0,"exact",0,0],[3,26,"f","(22,1,1,1,1)",12650,2046,"lower bound",2046,12397],[3,26,"f","(22,4)",12350,1829,"lower bound",1829,11704],[3,26,"f","(23,1,1,1)",2300,120,"lower bound",120,1771],[3,26,"f","(23,2,1)",4576,240,"lower bound",240,3542],[3,26,"f","(23,3)",2275,120,"lower bound",120,1771],[3,26,"f","(24,1,1)",300,0,"exact",0,0],[3,26,"f","(24,2)",299,0,"exact",0,0],[3,26,"f","(25,1)",25,0,"exact",0,0],[3,26,"f","(26)",1,0,"exact",0,0],[3,27,"f","(23,1,1,1,1)",14950,2166,"lower bound",2166,14674],[3,27,"f","(23,4)",14625,1949,"lower bound",1949,13915],[3,27,"f","(24,1,1,1)",2600,120,"lower bound",120,2024],[3,27,"f","(24,2,1)",5175,240,"lower bound",240,4048],[3,27,"f","(24,3)",2574,120,"lower bound",120,2024],[3,27,"f","(25,1,1)",325,0,"exact",0,0],[3,27,"f","(25,2)",324,0,"exact",0,0],[3,27,"f","(26,1)",26,0,"exact",0,0],[3,27,"f","(27)",1,0,"exact",0,0],[3,28,"f","(24,1,1,1,1)",17550,2286,"lower bound",2286,17250],[3,28,"f","(24,4)",17199,2069,"lower bound",2069,16422],[3,28,"f","(25,1,1,1)",2925,120,"lower bound",120,2300],[3,28,"f","(25,2,1)",5824,240,"lower bound",240,4600],[3,28,"f","(25,3)",2898,120,"lower bound",120,2300],[3,28,"f","(26,1,1)",351,0,"exact",0,0],[3,28,"f","(26,2)",350,0,"exact",0,0],[3,28,"f","(27,1)",27,0,"exact",0,0],[3,28,"f","(28)",1,0,"exact",0,0],[3,29,"f","(26,1,1,1)",3276,120,"lower bound",120,2600],[3,29,"f","(26,2,1)",6525,240,"lower bound",240,5200],[3,29,"f","(26,3)",3248,120,"lower bound",120,2600],[3,29,"f","(27,1,1)",378,0,"exact",0,0],[3,29,"f","(27,2)",377,0,"exact",0,0],[3,29,"f","(28,1)",28,0,"exact",0,0],[3,29,"f","(29)",1,0,"exact",0,0],[3,30,"f","(27,1,1,1)",3654,120,"lower bound",120,2925],[3,30,"f","(27,2,1)",7280,240,"lower bound",240,5850],[3,30,"f","(27,3)",3625,120,"lower bound",120,2925],[3,30,"f","(28,1,1)",406,0,"exact",0,0],[3,30,"f","(28,2)",405,0,"exact",0,0],[3,30,"f","(29,1)",29,0,"exact",0,0],[3,30,"f","(30)",1,0,"exact",0,0],[3,31,"f","(28,1,1,1)",4060,120,"lower bound",120,3276],[3,31,"f","(28,2,1)",8091,240,"lower bound",240,6552],[3,31,"f","(28,3)",4030,120,"lower bound",120,3276],[3,31,"f","(29,1,1)",435,0,"exact",0,0],[3,31,"f","(29,2)",434,0,"exact",0,0],[3,31,"f","(30,1)",30,0,"exact",0,0],[3,6,"p","(1,1,1,1,1,1)",1,1,"exact",1,1],[3,6,"p","(2,1,1,1,1)",5,0,"exact",0,0],[3,6,"p","(2,2,1,1)",9,0,"exact",0,0],[3,6,"p","(2,2,2)",5,0,"exact",0,0],[3,6,"p","(3,1,1,1)",10,0,"exact",0,0],[3,6,"p","(3,2,1)",16,0,"exact",0,0],[3,6,"p","(3,3)",5,0,"exact",0,0],[3,6,"p","(4,1,1)",10,0,"exact",0,0],[3,6,"p","(4,2)",9,0,"exact",0,0],[3,6,"p","(5,1)",5,0,"exact",0,0],[3,6,"p","(6)",1,0,"exact",0,0],[3,7,"p","(1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,7,"p","(2,1,1,1,1,1)",6,2,"exact",2,2],[3,7,"p","(2,2,1,1,1)",14,1,"exact",1,1],[3,7,"p","(2,2,2,1)",14,0,"exact",0,0],[3,7,"p","(3,1,1,1,1)",15,1,"exact",1,1],[3,7,"p","(3,2,1,1)",35,0,"exact",0,0],[3,7,"p","(3,2,2)",21,0,"exact",0,0],[3,7,"p","(3,3,1)",21,0,"exact",0,0],[3,7,"p","(4,1,1,1)",20,0,"exact",0,0],[3,7,"p","(4,2,1)",35,0,"exact",0,0],[3,7,"p","(4,3)",14,0,"exact",0,0],[3,7,"p","(5,1,1)",15,0,"exact",0,0],[3,7,"p","(5,2)",14,0,"exact",0,0],[3,7,"p","(6,1)",6,0,"exact",0,0],[3,7,"p","(7)",1,0,"exact",0,0],[3,8,"p","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,8,"p","(2,1,1,1,1,1,1)",7,2,"exact",2,2],[3,8,"p","(2,2,1,1,1,1)",20,5,"exact",5,5],[3,8,"p","(2,2,2,1,1)",28,3,"exact",3,3],[3,8,"p","(2,2,2,2)",14,0,"exact",0,0],[3,8,"p","(3,1,1,1,1,1)",21,5,"exact",5,5],[3,8,"p","(3,2,1,1,1)",64,6,"exact",6,6],[3,8,"p","(3,2,2,1)",70,2,"exact",2,2],[3,8,"p","(3,3,1,1)",56,0,"exact",0,0],[3,8,"p","(3,3,2)",42,0,"exact",0,0],[3,8,"p","(4,1,1,1,1)",35,3,"exact",3,3],[3,8,"p","(4,2,1,1)",90,2,"exact",2,2],[3,8,"p","(4,2,2)",56,0,"exact",0,0],[3,8,"p","(4,3,1)",70,0,"exact",0,0],[3,8,"p","(4,4)",14,0,"exact",0,0],[3,8,"p","(5,1,1,1)",35,0,"exact",0,0],[3,8,"p","(5,2,1)",64,0,"exact",0,0],[3,8,"p","(5,3)",28,0,"exact",0,0],[3,8,"p","(6,1,1)",21,0,"exact",0,0],[3,8,"p","(6,2)",20,0,"exact",0,0],[3,8,"p","(7,1)",7,0,"exact",0,0],[3,8,"p","(8)",1,0,"exact",0,0],[3,9,"p","(1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,9,"p","(2,1,1,1,1,1,1,1)",8,4,"exact",4,4],[3,9,"p","(2,2,1,1,1,1,1)",27,9,"exact",9,9],[3,9,"p","(2,2,2,1,1,1)",48,13,"exact",13,13],[3,9,"p","(2,2,2,2,1)",42,7,"exact",7,7],[3,9,"p","(3,1,1,1,1,1,1)",28,9,"exact",9,9],[3,9,"p","(3,2,1,1,1,1)",105,27,"exact",27,27],[3,9,"p","(3,2,2,1,1)",162,26,"exact",26,26],[3,9,"p","(3,2,2,2)",84,12,"exact",12,12],[3,9,"p","(3,3,1,1,1)",120,19,"exact",19,19],[3,9,"p","(3,3,2,1)",168,18,"exact",18,18],[3,9,"p","(3,3,3)",42,6,"exact",6,6],[3,9,"p","(4,1,1,1,1,1)",56,13,"exact",13,13],[3,9,"p","(4,2,1,1,1)",189,26,"exact",26,26],[3,9,"p","(4,2,2,1)",216,19,"exact",19,19],[3,9,"p","(4,3,1,1)",216,16,"exact",16,16],[3,9,"p","(4,3,2)",168,8,"exact",8,8],[3,9,"p","(4,4,1)",84,4,"exact",4,4],[3,9,"p","(5,1,1,1,1)",70,8,"exact",8,8],[3,9,"p","(5,2,1,1)",189,11,"exact",11,11],[3,9,"p","(5,2,2)",120,6,"exact",6,6],[3,9,"p","(5,3,1)",162,5,"exact",5,5],[3,9,"p","(5,4)",42,1,"exact",1,1],[3,9,"p","(6,1,1,1)",56,1,"exact",1,1],[3,9,"p","(6,2,1)",105,2,"exact",2,2],[3,9,"p","(6,3)",48,1,"exact",1,1],[3,9,"p","(7,1,1)",28,0,"exact",0,0],[3,9,"p","(7,2)",27,0,"exact",0,0],[3,9,"p","(8,1)",8,0,"exact",0,0],[3,9,"p","(9)",1,0,"exact",0,0],[3,10,"p","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"p","(2,1,1,1,1,1,1,1,1)",9,4,"exact",4,4],[3,10,"p","(2,2,1,1,1,1,1,1)",35,15,"exact",15,15],[3,10,"p","(2,2,2,1,1,1,1)",75,27,"exact",27,27],[3,10,"p","(2,2,2,2,1,1)",90,30,"exact",30,30],[3,10,"p","(2,2,2,2,2)",42,11,"exact",11,11],[3,10,"p","(3,1,1,1,1,1,1,1)",36,15,"exact",15,15],[3,10,"p","(3,2,1,1,1,1,1)",160,58,"exact",58,58],[3,10,"p","(3,2,2,1,1,1)",315,99,"exact",99,99],[3,10,"p","(3,2,2,2,1)",288,78,"exact",78,78],[3,10,"p","(3,3,1,1,1,1)",225,72,"exact",72,72],[3,10,"p","(3,3,2,1,1)",450,114,"exact",114,114],[3,10,"p","(3,3,2,2)",252,60,"exact",60,60],[3,10,"p","(3,3,3,1)",210,46,"exact",46,46],[3,10,"p","(4,1,1,1,1,1,1)",84,29,"exact",29,29],[3,10,"p","(4,2,1,1,1,1)",350,101,"exact",101,101],[3,10,"p","(4,2,2,1,1)",567,135,"exact",135,135],[3,10,"p","(4,2,2,2)",300,63,"exact",63,63],[3,10,"p","(4,3,1,1,1)",525,119,"exact",119,119],[3,10,"p","(4,3,2,1)",768,146,"exact",146,146],[3,10,"p","(4,3,3)",210,35,"exact",35,35],[3,10,"p","(4,4,1,1)",300,52,"exact",52,52],[3,10,"p","(4,4,2)",252,36,"exact",36,36],[3,10,"p","(5,1,1,1,1,1)",126,34,"exact",34,34],[3,10,"p","(5,2,1,1,1)",448,88,"exact",88,88],[3,10,"p","(5,2,2,1)",525,83,"exact",83,83],[3,10,"p","(5,3,1,1)",567,81,"exact",81,81],[3,10,"p","(5,3,2)",450,55,"exact",55,55],[3,10,"p","(5,4,1)",288,31,"exact",31,31],[3,10,"p","(5,5)",42,3,"exact",3,3],[3,10,"p","(6,1,1,1,1)",126,18,"exact",18,18],[3,10,"p","(6,2,1,1)",350,37,"exact",37,37],[3,10,"p","(6,2,2)",225,20,"exact",20,20],[3,10,"p","(6,3,1)",315,25,"exact",25,25],[3,10,"p","(6,4)",90,6,"exact",6,6],[3,10,"p","(7,1,1,1)",84,3,"exact",3,3],[3,10,"p","(7,2,1)",160,6,"exact",6,6],[3,10,"p","(7,3)",75,3,"exact",3,3],[3,10,"p","(8,1,1)",36,0,"exact",0,0],[3,10,"p","(8,2)",35,0,"exact",0,0],[3,10,"p","(9,1)",9,0,"exact",0,0],[3,10,"p","(10)",1,0,"exact",0,0],[3,11,"p","(1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,11,"p","(2,1,1,1,1,1,1,1,1,1)",10,5,"exact",5,5],[3,11,"p","(2,2,1,1,1,1,1,1,1)",44,20,"exact",20,20],[3,11,"p","(2,2,2,1,1,1,1,1)",110,47,"exact",47,47],[3,11,"p","(2,2,2,2,1,1,1)",165,66,"exact",66,66],[3,11,"p","(2,2,2,2,2,1)",132,50,"exact",50,50],[3,11,"p","(3,1,1,1,1,1,1,1,1)",45,20,"exact",20,20],[3,11,"p","(3,2,1,1,1,1,1,1)",231,97,"exact",97,97],[3,11,"p","(3,2,2,1,1,1,1)",550,215,"exact",215,215],[3,11,"p","(3,2,2,2,1,1)",693,253,"exact",253,253],[3,11,"p","(3,2,2,2,2)",330,114,"exact",114,114],[3,11,"p","(3,3,1,1,1,1,1)",385,149,"exact",149,149],[3,11,"p","(3,3,2,1,1,1)",990,348,"lower bound",348,352],[3,11,"p","(3,3,2,2,1)",990,311,"lower bound",311,326],[3,11,"p","(3,3,3,1,1)",660,210,"exact",210,210],[3,11,"p","(3,3,3,2)",462,140,"exact",140,140],[3,11,"p","(4,1,1,1,1,1,1,1)",120,48,"exact",48,48],[3,11,"p","(4,2,1,1,1,1,1)",594,222,"lower bound",222,223],[3,11,"p","(4,2,2,1,1,1)",1232,420,"lower bound",420,423],[3,11,"p","(4,2,2,2,1)",1155,360,"lower bound",360,365],[3,11,"p","(4,3,1,1,1,1)",1100,367,"lower bound",367,372],[3,11,"p","(4,3,2,1,1)",2310,684,"lower bound",684,699],[3,11,"p","(4,3,2,2)",1320,376,"exact",376,376],[3,11,"p","(4,3,3,1)",1188,322,"exact",322,322],[3,11,"p","(4,4,1,1,1)",825,238,"exact",238,238],[3,11,"p","(4,4,2,1)",1320,343,"exact",343,343],[3,11,"p","(4,4,3)",462,108,"exact",108,108],[3,11,"p","(5,1,1,1,1,1,1)",210,73,"exact",73,73],[3,11,"p","(5,2,1,1,1,1)",924,291,"exact",291,291],[3,11,"p","(5,2,2,1,1)",1540,427,"exact",427,427],[3,11,"p","(5,2,2,2)",825,214,"exact",214,214],[3,11,"p","(5,3,1,1,1)",1540,415,"exact",415,415],[3,11,"p","(5,3,2,1)",2310,554,"exact",554,554],[3,11,"p","(5,3,3)",660,142,"exact",142,142],[3,11,"p","(5,4,1,1)",1155,257,"exact",257,257],[3,11,"p","(5,4,2)",990,201,"exact",201,201],[3,11,"p","(5,5,1)",330,59,"exact",59,59],[3,11,"p","(6,1,1,1,1,1)",252,70,"exact",70,70],[3,11,"p","(6,2,1,1,1)",924,213,"exact",213,213],[3,11,"p","(6,2,2,1)",1100,220,"exact",220,220],[3,11,"p","(6,3,1,1)",1232,233,"exact",233,233],[3,11,"p","(6,3,2)",990,168,"exact",168,168],[3,11,"p","(6,4,1)",693,108,"exact",108,108],[3,11,"p","(6,5)",132,17,"exact",17,17],[3,11,"p","(7,1,1,1,1)",210,35,"exact",35,35],[3,11,"p","(7,2,1,1)",594,80,"exact",80,80],[3,11,"p","(7,2,2)",385,48,"exact",48,48],[3,11,"p","(7,3,1)",550,62,"exact",62,62],[3,11,"p","(7,4)",165,17,"exact",17,17],[3,11,"p","(8,1,1,1)",120,6,"exact",6,6],[3,11,"p","(8,2,1)",231,12,"exact",12,12],[3,11,"p","(8,3)",110,6,"exact",6,6],[3,11,"p","(9,1,1)",45,0,"exact",0,0],[3,11,"p","(9,2)",44,0,"exact",0,0],[3,11,"p","(10,1)",10,0,"exact",0,0],[3,11,"p","(11)",1,0,"exact",0,0],[3,12,"p","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"p","(2,1,1,1,1,1,1,1,1,1,1)",11,5,"exact",5,5],[3,12,"p","(2,2,1,1,1,1,1,1,1,1)",54,25,"exact",25,25],[3,12,"p","(2,2,2,1,1,1,1,1,1)",154,69,"exact",69,69],[3,12,"p","(2,2,2,2,1,1,1,1)",275,119,"exact",119,119],[3,12,"p","(2,2,2,2,2,1,1)",297,124,"exact",124,124],[3,12,"p","(2,2,2,2,2,2)",132,53,"exact",53,53],[3,12,"p","(3,1,1,1,1,1,1,1,1,1)",55,25,"exact",25,25],[3,12,"p","(3,2,1,1,1,1,1,1,1)",320,140,"exact",140,140],[3,12,"p","(3,2,2,1,1,1,1,1)",891,376,"exact",376,376],[3,12,"p","(3,2,2,2,1,1,1)",1408,497,"lower bound",497,572],[3,12,"p","(3,2,2,2,2,1)",1155,423,"lower bound",423,456],[3,12,"p","(3,3,1,1,1,1,1,1)",616,256,"exact",256,256],[3,12,"p","(3,3,2,1,1,1,1)",1925,770,"lower bound",770,774],[3,12,"p","(3,3,2,2,1,1)",2673,593,"lower bound",593,1042],[3,12,"p","(3,3,2,2,2)",1320,418,"lower bound",418,508],[3,12,"p","(3,3,3,1,1,1)",1650,592,"lower bound",592,628],[3,12,"p","(3,3,3,2,1)",2112,685,"lower bound",685,779],[3,12,"p","(3,3,3,3)",462,137,"lower bound",137,160],[3,12,"p","(4,1,1,1,1,1,1,1,1)",165,70,"exact",70,70],[3,12,"p","(4,2,1,1,1,1,1,1)",945,385,"lower bound",385,386],[3,12,"p","(4,2,2,1,1,1,1)",2376,920,"lower bound",920,931],[3,12,"p","(4,2,2,2,1,1)",3080,644,"lower bound",644,1163],[3,12,"p","(4,2,2,2,2)",1485,392,"lower bound",392,542],[3,12,"p","(4,3,1,1,1,1,1)",2079,801,"lower bound",801,809],[3,12,"p","(4,3,2,1,1,1)",5632,1074,"lower bound",1074,2208],[3,12,"p","(4,3,2,2,1)",5775,923,"lower bound",923,2055],[3,12,"p","(4,3,3,1,1)",4158,627,"lower bound",627,1434],[3,12,"p","(4,3,3,2)",2970,850,"lower bound",850,981],[3,12,"p","(4,4,1,1,1,1)",1925,648,"lower bound",648,691],[3,12,"p","(4,4,2,1,1)",4455,619,"lower bound",619,1508],[3,12,"p","(4,4,2,2)",2640,339,"lower bound",339,848],[3,12,"p","(4,4,3,1)",2970,812,"lower bound",812,932],[3,12,"p","(4,4,4)",462,126,"lower bound",126,132],[3,12,"p","(5,1,1,1,1,1,1,1)",330,126,"lower bound",126,127],[3,12,"p","(5,2,1,1,1,1,1)",1728,596,"lower bound",596,641],[3,12,"p","(5,2,2,1,1,1)",3696,631,"lower bound",631,1396],[3,12,"p","(5,2,2,2,1)",3520,786,"lower bound",786,1175],[3,12,"p","(5,3,1,1,1,1)",3564,565,"lower bound",565,1332],[3,12,"p","(5,3,2,1,1)",7700,956,"lower bound",956,2492],[3,12,"p","(5,3,2,2)",4455,493,"lower bound",493,1381],[3,12,"p","(5,3,3,1)",4158,420,"lower bound",420,1239],[3,12,"p","(5,4,1,1,1)",3520,939,"lower bound",939,1096],[3,12,"p","(5,4,2,1)",5775,528,"lower bound",528,1678],[3,12,"p","(5,4,3)",2112,526,"lower bound",526,569],[3,12,"p","(5,5,1,1)",1485,243,"lower bound",243,400],[3,12,"p","(5,5,2)",1320,167,"lower bound",167,337],[3,12,"p","(6,1,1,1,1,1,1)",462,141,"lower bound",141,158],[3,12,"p","(6,2,1,1,1,1)",2100,625,"lower bound",625,669],[3,12,"p","(6,2,2,1,1)",3564,347,"lower bound",347,1050],[3,12,"p","(6,2,2,2)",1925,369,"lower bound",369,537],[3,12,"p","(6,3,1,1,1)",3696,326,"lower bound",326,1066],[3,12,"p","(6,3,2,1)",5632,400,"lower bound",400,1505],[3,12,"p","(6,3,3)",1650,197,"lower bound",197,407],[3,12,"p","(6,4,1,1)",3080,463,"lower bound",463,791],[3,12,"p","(6,4,2)",2673,308,"lower bound",308,643],[3,12,"p","(6,5,1)",1155,245,"lower bound",245,250],[3,12,"p","(6,6)",132,23,"exact",23,23],[3,12,"p","(7,1,1,1,1,1)",462,105,"lower bound",105,129],[3,12,"p","(7,2,1,1,1)",1728,327,"lower bound",327,424],[3,12,"p","(7,2,2,1)",2079,296,"lower bound",296,464],[3,12,"p","(7,3,1,1)",2376,215,"lower bound",215,520],[3,12,"p","(7,3,2)",1925,288,"lower bound",288,383],[3,12,"p","(7,4,1)",1408,235,"lower bound",235,263],[3,12,"p","(7,5)",297,49,"exact",49,49],[3,12,"p","(8,1,1,1,1)",330,58,"exact",58,58],[3,12,"p","(8,2,1,1)",945,142,"lower bound",142,145],[3,12,"p","(8,2,2)",616,88,"exact",88,88],[3,12,"p","(8,3,1)",891,120,"lower bound",120,121],[3,12,"p","(8,4)",275,34,"exact",34,34],[3,12,"p","(10,1,1)",55,0,"exact",0,0],[3,12,"p","(10,2)",54,0,"exact",0,0],[3,12,"p","(11,1)",11,0,"exact",0,0],[3,12,"p","(12)",1,0,"exact",0,0],[3,12,"p","(9,1,1,1)",165,10,"exact",10,10],[3,12,"p","(9,2,1)",320,20,"exact",20,20],[3,12,"p","(9,3)",154,10,"exact",10,10],[3,13,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,13,"p","(2,1,1,1,1,1,1,1,1,1,1,1)",12,6,"exact",6,6],[3,13,"p","(2,2,1,1,1,1,1,1,1,1,1)",65,30,"exact",30,30],[3,13,"p","(2,2,2,1,1,1,1,1,1,1)",208,94,"exact",94,94],[3,13,"p","(2,2,2,2,1,1,1,1,1)",429,190,"exact",190,190],[3,13,"p","(2,2,2,2,2,1,1,1)",572,248,"exact",248,248],[3,13,"p","(2,2,2,2,2,2,1)",429,183,"exact",183,183],[3,13,"p","(3,1,1,1,1,1,1,1,1,1,1)",66,30,"exact",30,30],[3,13,"p","(3,2,1,1,1,1,1,1,1,1)",429,190,"exact",190,190],[3,13,"p","(3,2,2,1,1,1,1,1,1)",1365,590,"exact",590,590],[3,13,"p","(3,2,2,2,1,1,1,1)",2574,881,"lower bound",881,1088],[3,13,"p","(3,2,2,2,2,1,1)",2860,885,"lower bound",885,1202],[3,13,"p","(3,2,2,2,2,2)",1287,396,"lower bound",396,538],[3,13,"p","(3,3,1,1,1,1,1,1,1)",936,400,"exact",400,400],[3,13,"p","(3,3,2,1,1,1,1,1)",3432,1425,"lower bound",1425,1429],[3,13,"p","(3,3,2,2,1,1,1)",6006,1476,"lower bound",1476,2476],[3,13,"p","(3,3,2,2,2,1)",5148,1334,"lower bound",1334,2104],[3,13,"p","(3,3,3,1,1,1,1)",3575,1428,"lower bound",1428,1460],[3,13,"p","(3,3,3,2,1,1)",6435,1367,"lower bound",1367,2596],[3,13,"p","(3,3,3,2,2)",3432,1297,"lower bound",1297,1376],[3,13,"p","(3,3,3,3,1)",2574,593,"lower bound",593,1024],[3,13,"p","(4,1,1,1,1,1,1,1,1,1)",220,95,"exact",95,95],[3,13,"p","(4,2,1,1,1,1,1,1,1)",1430,600,"exact",600,600],[3,13,"p","(4,2,2,1,1,1,1,1)",4212,1712,"lower bound",1712,1723],[3,13,"p","(4,2,2,2,1,1,1)",6864,1603,"lower bound",1603,2780],[3,13,"p","(4,2,2,2,2,1)",5720,1032,"lower bound",1032,2297],[3,13,"p","(4,3,1,1,1,1,1,1)",3640,1466,"lower bound",1466,1474],[3,13,"p","(4,3,2,1,1,1,1)",12012,2558,"lower bound",2558,4793],[3,13,"p","(4,3,2,2,1,1)",17160,1620,"lower bound",1620,6765],[3,13,"p","(4,3,2,2,2)",8580,933,"lower bound",933,3362],[3,13,"p","(4,3,3,1,1,1)",11440,1132,"lower bound",1132,4469],[3,13,"p","(4,3,3,2,1)",15015,1628,"lower bound",1628,5810],[3,13,"p","(4,3,3,3)",3432,1183,"lower bound",1183,1314],[3,13,"p","(4,4,1,1,1,1,1)",4004,1532,"lower bound",1532,1570],[3,13,"p","(4,4,2,1,1,1)",12012,1078,"lower bound",1078,4634],[3,13,"p","(4,4,2,2,1)",12870,569,"lower bound",569,4918],[3,13,"p","(4,4,3,1,1)",11583,838,"lower bound",838,4386],[3,13,"p","(4,4,3,2)",8580,1084,"lower bound",1084,3228],[3,13,"p","(4,4,4,1)",3432,1152,"lower bound",1152,1272],[3,13,"p","(5,1,1,1,1,1,1,1,1)",495,200,"exact",200,200],[3,13,"p","(5,2,1,1,1,1,1,1)",3003,942,"lower bound",942,1180],[3,13,"p","(5,2,2,1,1,1,1)",7800,1437,"lower bound",1437,3020],[3,13,"p","(5,2,2,2,1,1)",10296,1010,"lower bound",1010,3940],[3,13,"p","(5,2,2,2,2)",5005,1520,"lower bound",1520,1904],[3,13,"p","(5,3,1,1,1,1,1)",7371,1258,"lower bound",1258,2826],[3,13,"p","(5,3,2,1,1,1)",20592,854,"lower bound",854,7771],[3,13,"p","(5,3,2,2,1)",21450,868,"lower bound",868,8020],[3,13,"p","(5,3,3,1,1)",16016,243,"lower bound",243,5936],[3,13,"p","(5,3,3,2)",11583,461,"lower bound",461,4266],[3,13,"p","(5,4,1,1,1,1)",9009,1113,"lower bound",1113,3346],[3,13,"p","(5,4,2,1,1)",21450,599,"lower bound",599,7860],[3,13,"p","(5,4,2,2)",12870,52,"lower bound",52,4686],[3,13,"p","(5,4,3,1)",15015,512,"lower bound",512,5418],[3,13,"p","(5,5,1,1,1)",5005,1635,"lower bound",1635,1792],[3,13,"p","(5,5,2,1)",8580,338,"lower bound",338,3039],[3,13,"p","(5,5,3)",3432,1030,"lower bound",1030,1200],[3,13,"p","(6,1,1,1,1,1,1,1)",792,293,"lower bound",293,294],[3,13,"p","(6,2,1,1,1,1,1)",4290,1526,"lower bound",1526,1570],[3,13,"p","(6,2,2,1,1,1)",9360,486,"lower bound",486,3375],[3,13,"p","(6,2,2,2,1)",9009,463,"lower bound",463,3220],[3,13,"p","(6,3,1,1,1,1)",9360,357,"lower bound",357,3346],[3,13,"p","(6,3,2,1,1)",20592,178,"lower bound",178,7268],[3,13,"p","(6,3,2,2)",12012,51,"lower bound",51,4214],[3,13,"p","(6,3,3,1)",11440,29,"lower bound",29,3980],[3,13,"p","(6,4,1,1,1)",10296,435,"lower bound",435,3584],[3,13,"p","(6,4,2,1)",17160,34,"lower bound",34,5912],[3,13,"p","(6,4,3)",6435,1543,"lower bound",1543,2190],[3,13,"p","(6,5,1,1)",5720,1604,"lower bound",1604,1932],[3,13,"p","(6,5,2)",5148,1390,"lower bound",1390,1725],[3,13,"p","(7,1,1,1,1,1,1)",924,297,"lower bound",297,314],[3,13,"p","(7,2,1,1,1,1)",4290,1337,"lower bound",1337,1434],[3,13,"p","(7,2,2,1,1)",7371,779,"lower bound",779,2436],[3,13,"p","(7,2,2,2)",4004,1148,"lower bound",1148,1316],[3,13,"p","(7,3,1,1,1)",7800,671,"lower bound",671,2560],[3,13,"p","(7,3,2,1)",12012,18,"lower bound",18,3906],[3,13,"p","(7,3,3)",3575,935,"lower bound",935,1150],[3,13,"p","(7,4,1,1)",6864,1469,"lower bound",1469,2208],[3,13,"p","(8,1,1,1,1,1)",792,190,"lower bound",190,239],[3,13,"p","(8,2,1,1,1)",3003,129,"lower bound",129,855],[3,13,"p","(8,2,2,1)",3640,846,"lower bound",846,1031],[3,13,"p","(8,3,1,1)",4212,937,"lower bound",937,1242],[3,13,"p","(11,1,1)",66,0,"exact",0,0],[3,13,"p","(11,2)",65,0,"exact",0,0],[3,13,"p","(12,1)",12,0,"exact",0,0],[3,13,"p","(13)",1,0,"exact",0,0],[3,13,"p","(10,1,1,1)",220,15,"exact",15,15],[3,13,"p","(10,2,1)",429,29,"lower bound",29,30],[3,13,"p","(10,3)",208,15,"exact",15,15],[3,13,"p","(5,4,4)",2574,344,"lower bound",344,848],[3,13,"p","(6,6,1)",1287,118,"lower bound",118,332],[3,13,"p","(7,4,2)",6006,1411,"lower bound",1411,1918],[3,13,"p","(7,5,1)",2860,432,"lower bound",432,750],[3,13,"p","(7,6)",429,88,"lower bound",88,90],[3,13,"p","(8,3,2)",3432,736,"lower bound",736,846],[3,13,"p","(8,4,1)",2574,146,"lower bound",146,585],[3,13,"p","(8,5)",572,98,"lower bound",98,106],[3,13,"p","(9,1,1,1,1)",495,41,"lower bound",41,90],[3,13,"p","(9,2,1,1)",1430,74,"lower bound",74,236],[3,13,"p","(9,2,2)",936,36,"lower bound",36,146],[3,13,"p","(9,3,1)",1365,32,"lower bound",32,204],[3,13,"p","(9,4)",429,10,"lower bound",10,60],[3,14,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,6,"exact",6,6],[3,14,"p","(2,2,1,1,1,1,1,1,1,1,1,1)",77,36,"exact",36,36],[3,14,"p","(2,2,2,1,1,1,1,1,1,1,1)",273,124,"exact",124,124],[3,14,"p","(2,2,2,2,1,1,1,1,1,1)",637,284,"exact",284,284],[3,14,"p","(2,2,2,2,2,1,1,1,1)",1001,440,"exact",440,440],[3,14,"p","(2,2,2,2,2,2,1,1)",1001,435,"exact",435,435],[3,14,"p","(2,2,2,2,2,2,2)",429,184,"exact",184,184],[3,14,"p","(3,1,1,1,1,1,1,1,1,1,1,1)",78,36,"exact",36,36],[3,14,"p","(3,2,1,1,1,1,1,1,1,1,1)",560,250,"exact",250,250],[3,14,"p","(3,2,2,1,1,1,1,1,1,1)",2002,874,"exact",874,874],[3,14,"p","(3,2,2,2,1,1,1,1,1)",4368,1874,"exact",1874,1874],[3,14,"p","(3,2,2,2,2,1,1,1)",6006,1877,"lower bound",1877,2546],[3,14,"p","(3,2,2,2,2,2,1)",4576,1490,"lower bound",1490,1926],[3,14,"p","(3,3,1,1,1,1,1,1,1,1)",1365,590,"exact",590,590],[3,14,"p","(3,3,2,1,1,1,1,1,1)",5733,2426,"exact",2426,2426],[3,14,"p","(3,3,2,2,1,1,1,1)",12012,3502,"lower bound",3502,5006],[3,14,"p","(3,3,2,2,2,1,1)",14014,3206,"lower bound",3206,5782],[3,14,"p","(3,3,2,2,2,2)",6435,1456,"lower bound",1456,2642],[3,14,"p","(3,3,3,1,1,1,1,1)",7007,2681,"lower bound",2681,2896],[3,14,"p","(3,3,3,2,1,1,1)",16016,3649,"lower bound",3649,6532],[3,14,"p","(3,3,3,2,2,1)",15015,3259,"lower bound",3259,6076],[3,14,"p","(3,3,3,3,1,1)",9009,1490,"lower bound",1490,3620],[3,14,"p","(4,1,1,1,1,1,1,1,1,1,1)",286,125,"exact",125,125],[3,14,"p","(4,2,1,1,1,1,1,1,1,1)",2079,885,"exact",885,885],[3,14,"p","(4,2,2,1,1,1,1,1,1)",7007,2921,"exact",2921,2921],[3,14,"p","(4,2,2,2,1,1,1,1)",13650,3847,"lower bound",3847,5605],[3,14,"p","(4,2,2,2,2,1,1)",15444,2931,"lower bound",2931,6279],[3,14,"p","(4,2,2,2,2,2)",7007,1115,"lower bound",1115,2835],[3,14,"p","(4,3,1,1,1,1,1,1,1)",6006,2480,"exact",2480,2480],[3,14,"p","(4,3,2,1,1,1,1,1)",23296,6669,"lower bound",6669,9440],[3,14,"p","(4,3,2,2,1,1,1)",42042,5639,"lower bound",5639,16814],[3,14,"p","(4,3,2,2,2,1)",36608,3117,"lower bound",3117,14528],[3,14,"p","(4,3,3,1,1,1,1)",27027,4043,"lower bound",4043,10722],[3,14,"p","(4,3,3,2,1,1)",50050,2918,"lower bound",2918,19640],[3,14,"p","(4,3,3,2,2)",27027,2038,"lower bound",2038,10548],[3,14,"p","(4,3,3,3,1)",21021,1885,"lower bound",1885,8148],[3,14,"p","(4,4,1,1,1,1,1,1)",7644,2770,"lower bound",2770,3050],[3,14,"p","(4,4,2,1,1,1,1)",28028,3978,"lower bound",3978,10997],[3,14,"p","(4,4,2,2,1,1)",42042,778,"lower bound",778,16317],[3,14,"p","(4,4,2,2,2)",21450,766,"lower bound",766,8280],[3,14,"p","(4,4,3,1,1,1)",35035,1170,"lower bound",1170,13489],[3,14,"p","(4,4,3,2,1)",48048,1025,"lower bound",1025,18342],[3,14,"p","(4,4,4,1,1)",15015,660,"lower bound",660,5658],[3,14,"p","(5,1,1,1,1,1,1,1,1,1)",715,295,"exact",295,295],[3,14,"p","(5,2,1,1,1,1,1,1,1)",4928,1984,"exact",1984,1984],[3,14,"p","(5,2,2,1,1,1,1,1)",15015,3721,"lower bound",3721,5935],[3,14,"p","(5,2,2,2,1,1,1)",24960,2957,"lower bound",2957,9740],[3,14,"p","(5,2,2,2,2,1)",21021,2405,"lower bound",2405,8141],[3,14,"p","(5,3,1,1,1,1,1,1)",14014,3318,"lower bound",3318,5490],[3,14,"p","(5,3,2,1,1,1,1)",47775,3971,"lower bound",3971,18410],[3,14,"p","(5,3,2,2,1,1)",69498,435,"lower bound",435,26496],[3,14,"p","(5,3,2,2,2)",35035,1265,"lower bound",1265,13286],[3,14,"p","(5,3,3,1,1,1)",48048,407,"lower bound",407,18176],[3,14,"p","(5,3,3,2,1)",64064,616,"lower bound",616,24032],[3,14,"p","(5,3,3,3)",15015,229,"lower bound",229,5580],[3,14,"p","(5,4,1,1,1,1,1)",20384,2848,"lower bound",2848,7742],[3,14,"p","(5,4,2,1,1,1)",63063,292,"lower bound",292,23611],[3,14,"p","(5,4,2,2,1)",68640,549,"lower bound",549,25484],[3,14,"p","(5,4,3,1,1)",64064,803,"lower bound",803,23600],[3,14,"p","(5,4,3,2)",48048,594,"lower bound",594,17598],[3,14,"p","(5,4,4,1)",21021,169,"lower bound",169,7602],[3,14,"p","(5,5,1,1,1,1)",14014,1529,"lower bound",1529,5138],[3,14,"p","(5,5,2,1,1)",35035,653,"lower bound",653,12691],[3,14,"p","(5,5,2,2)",21450,238,"lower bound",238,7725],[3,14,"p","(5,5,3,1)",27027,224,"lower bound",224,9657],[3,14,"p","(5,5,4)",6006,1011,"lower bound",1011,2112],[3,14,"p","(6,1,1,1,1,1,1,1,1)",1287,496,"exact",496,496],[3,14,"p","(6,2,1,1,1,1,1,1)",8085,2425,"lower bound",2425,3050],[3,14,"p","(6,2,2,1,1,1,1)",21450,2231,"lower bound",2231,7965],[3,14,"p","(6,2,2,2,1,1)",28665,1174,"lower bound",1174,10535],[3,14,"p","(6,2,2,2,2)",14014,728,"lower bound",728,5124],[3,14,"p","(6,3,1,1,1,1,1)",21021,1887,"lower bound",1887,7742],[3,14,"p","(6,3,2,1,1,1)",59904,251,"lower bound",251,21760],[3,14,"p","(6,3,2,2,1)",63063,610,"lower bound",610,22722],[3,14,"p","(6,3,3,1,1)",48048,842,"lower bound",842,17184],[3,14,"p","(6,3,3,2)",35035,427,"lower bound",427,12460],[3,14,"p","(6,4,1,1,1,1)",28665,939,"lower bound",939,10276],[3,14,"p","(6,4,2,1,1)",69498,553,"lower bound",553,24624],[3,14,"p","(6,4,2,2)",42042,460,"lower bound",460,14812],[3,14,"p","(6,4,3,1)",50050,381,"lower bound",381,17500],[3,14,"p","(6,5,1,1,1)",21021,1159,"lower bound",1159,7308],[3,14,"p","(6,5,2,1)",36608,238,"lower bound",238,12608],[3,14,"p","(6,6,1,1)",7007,852,"lower bound",852,2352],[3,14,"p","(6,6,2)",6435,903,"lower bound",903,2145],[3,14,"p","(7,1,1,1,1,1,1,1)",1716,605,"lower bound",605,610],[3,14,"p","(7,2,1,1,1,1,1)",9504,2373,"lower bound",2373,3318],[3,14,"p","(7,2,2,1,1,1)",21021,798,"lower bound",798,7245],[3,14,"p","(7,2,2,2,1)",20384,469,"lower bound",469,6972],[3,14,"p","(7,3,1,1,1,1)",21450,695,"lower bound",695,7340],[3,14,"p","(7,3,2,1,1)",47775,698,"lower bound",698,16170],[3,14,"p","(7,3,2,2)",28028,277,"lower bound",277,9436],[3,14,"p","(7,3,3,1)",27027,184,"lower bound",184,9036],[3,14,"p","(7,4,1,1,1)",24960,303,"lower bound",303,8352],[3,14,"p","(7,4,2,1)",42042,227,"lower bound",227,13944],[3,14,"p","(7,6,1)",4576,1167,"lower bound",1167,1452],[3,14,"p","(7,7)",429,103,"lower bound",103,105],[3,14,"p","(8,1,1,1,1,1,1)",1716,521,"lower bound",521,553],[3,14,"p","(8,2,1,1,1,1)",8085,682,"lower bound",682,2569],[3,14,"p","(8,3,3)",7007,879,"lower bound",879,1890],[3,14,"p","(8,5,1)",6006,1254,"lower bound",1254,1815],[3,14,"p","(8,6)",1001,226,"lower bound",226,237],[3,14,"p","(9,1,1,1,1,1)",1287,318,"lower bound",318,367],[3,14,"p","(9,2,1,1,1)",4928,458,"lower bound",458,1392],[3,14,"p","(9,2,2,1)",6006,505,"lower bound",505,1686],[3,14,"p","(9,3,2)",5733,881,"lower bound",881,1586],[3,14,"p","(9,4,1)",4368,800,"lower bound",800,1210],[3,14,"p","(9,5)",1001,194,"lower bound",194,256],[3,14,"p","(10,1,1,1,1)",715,114,"lower bound",114,174],[3,14,"p","(10,2,1,1)",2079,345,"lower bound",345,504],[3,14,"p","(10,2,2)",1365,220,"lower bound",220,330],[3,14,"p","(10,3,1)",2002,313,"lower bound",313,484],[3,14,"p","(10,4)",637,92,"lower bound",92,144],[3,14,"p","(12,1,1)",78,0,"exact",0,0],[3,14,"p","(12,2)",77,0,"exact",0,0],[3,14,"p","(13,1)",13,0,"exact",0,0],[3,14,"p","(14)",1,0,"exact",0,0],[3,14,"p","(11,1,1,1)",286,21,"exact",21,21],[3,14,"p","(11,2,1)",560,42,"lower bound",42,43],[3,14,"p","(11,3)",273,21,"exact",21,21],[3,14,"p","(3,3,3,3,2)",6006,1544,"lower bound",1544,2400],[3,14,"p","(4,4,3,3)",12012,1172,"lower bound",1172,4542],[3,14,"p","(4,4,4,2)",12012,1179,"lower bound",1179,4500],[3,14,"p","(6,4,4)",9009,778,"lower bound",778,3102],[3,14,"p","(6,5,3)",15015,1964,"lower bound",1964,5010],[3,14,"p","(7,4,3)",16016,1591,"lower bound",1591,5150],[3,14,"p","(7,5,1,1)",15444,1518,"lower bound",1518,5040],[3,14,"p","(7,5,2)",14014,1365,"lower bound",1365,4445],[3,14,"p","(8,2,2,1,1)",14014,200,"lower bound",200,4410],[3,14,"p","(8,2,2,2)",7644,964,"lower bound",964,2201],[3,14,"p","(8,3,1,1,1)",15015,154,"lower bound",154,4698],[3,14,"p","(8,3,2,1)",23296,105,"lower bound",105,7232],[3,14,"p","(8,4,1,1)",13650,677,"lower bound",677,4200],[3,14,"p","(8,4,2)",12012,794,"lower bound",794,3667],[3,14,"p","(9,3,1,1)",7007,221,"lower bound",221,1960],[3,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[3,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,7,"exact",7,7],[3,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,42,"exact",42,42],[3,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,160,"exact",160,160],[3,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,408,"exact",408,408],[3,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,724,"exact",724,724],[3,15,"p","(2,2,2,2,2,2,1,1,1)",2002,876,"exact",876,876],[3,15,"p","(2,2,2,2,2,2,2,1)",1430,621,"exact",621,621],[3,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,42,"exact",42,42],[3,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,322,"exact",322,322],[3,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,1248,"exact",1248,1248],[3,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,3032,"exact",3032,3032],[3,15,"p","(3,2,2,2,2,1,1,1,1)",11375,3934,"lower bound",3934,4860],[3,15,"p","(3,2,2,2,2,2,1,1)",11583,3718,"lower bound",3718,4908],[3,15,"p","(3,2,2,2,2,2,2)",5005,1632,"lower bound",1632,2112],[3,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,840,"exact",840,840],[3,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,3890,"exact",3890,3890],[3,15,"p","(3,3,2,2,1,1,1,1,1)",22113,7499,"lower bound",7499,9306],[3,15,"p","(3,3,2,2,2,1,1,1)",32032,8367,"lower bound",8367,13334],[3,15,"p","(3,3,2,2,2,2,1)",25025,5933,"lower bound",5933,10350],[3,15,"p","(3,3,3,1,1,1,1,1,1)",12740,5052,"lower bound",5052,5322],[3,15,"p","(3,3,3,2,1,1,1,1)",35035,9585,"lower bound",9585,14434],[3,15,"p","(3,3,3,2,2,1,1)",45045,9670,"lower bound",9670,18390],[3,15,"p","(3,3,3,2,2,2)",21450,4460,"lower bound",4460,8718],[3,15,"p","(3,3,3,3,1,1,1)",25025,4868,"lower bound",4868,10152],[3,15,"p","(3,3,3,3,2,1)",30030,5869,"lower bound",5869,12096],[3,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,161,"exact",161,161],[3,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,1260,"exact",1260,1260],[3,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,4680,"exact",4680,4680],[3,15,"p","(4,2,2,2,1,1,1,1,1)",25025,8307,"lower bound",8307,10400],[3,15,"p","(4,2,2,2,2,1,1,1)",35100,8382,"lower bound",8382,14430],[3,15,"p","(4,2,2,2,2,2,1)",27027,5253,"lower bound",5253,11040],[3,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,3955,"exact",3955,3955],[3,15,"p","(4,3,2,1,1,1,1,1,1)",42042,14283,"lower bound",14283,17267],[3,15,"p","(4,3,2,2,1,1,1,1)",91000,19048,"lower bound",19048,36865],[3,15,"p","(4,3,2,2,2,1,1)",108108,13754,"lower bound",13754,43403],[3,15,"p","(4,3,2,2,2,2)",50050,4973,"lower bound",4973,20005],[3,15,"p","(4,3,3,1,1,1,1,1)",57330,13038,"lower bound",13038,23058],[3,15,"p","(4,3,3,2,1,1,1)",135135,14725,"lower bound",14725,53708],[3,15,"p","(4,4,1,1,1,1,1,1,1)",13650,5178,"lower bound",5178,5530],[3,15,"p","(4,4,2,1,1,1,1,1)",58968,13008,"lower bound",13008,23487],[3,15,"p","(4,4,2,2,1,1,1)",112112,9040,"lower bound",9040,44128],[3,15,"p","(4,4,3,1,1,1,1)",90090,7697,"lower bound",7697,35208],[3,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,420,"exact",420,420],[3,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,3164,"exact",3164,3164],[3,15,"p","(5,2,2,1,1,1,1,1,1)",26950,8228,"lower bound",8228,10840],[3,15,"p","(5,2,2,2,1,1,1,1)",53625,10101,"lower bound",10101,21280],[3,15,"p","(5,2,2,2,2,1,1)",61425,7506,"lower bound",7506,24160],[3,15,"p","(5,2,2,2,2,2)",28028,3025,"lower bound",3025,10976],[3,15,"p","(5,3,1,1,1,1,1,1,1)",24948,7398,"lower bound",7398,9954],[3,15,"p","(5,3,2,1,1,1,1,1)",100100,16968,"lower bound",16968,39275],[3,15,"p","(5,3,2,2,1,1,1)",184275,10078,"lower bound",10078,71460],[3,15,"p","(5,4,1,1,1,1,1,1)",42042,8558,"lower bound",8558,16282],[3,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,791,"exact",791,791],[3,15,"p","(6,2,1,1,1,1,1,1,1)",14300,4561,"lower bound",4561,5530],[3,15,"p","(6,2,2,1,1,1,1,1)",44550,7888,"lower bound",7888,16950],[3,15,"p","(6,3,1,1,1,1,1,1)",43120,7141,"lower bound",7141,16282],[3,15,"p","(7,1,1,1,1,1,1,1,1)",3003,1101,"lower bound",1101,1106],[3,15,"p","(9,1,1,1,1,1,1)",3003,833,"lower bound",833,920],[3,15,"p","(13,1,1)",91,0,"exact",0,0],[3,15,"p","(13,2)",90,0,"exact",0,0],[3,15,"p","(14,1)",14,0,"exact",0,0],[3,15,"p","(15)",1,0,"exact",0,0],[3,15,"p","(10,1,1,1,1,1)",2002,455,"lower bound",455,541],[3,15,"p","(10,2,1,1,1)",7722,128,"lower bound",128,2070],[3,15,"p","(10,2,2,1)",9450,98,"lower bound",98,2520],[3,15,"p","(10,3,1,1)",11088,81,"lower bound",81,2948],[3,15,"p","(10,3,2)",9100,163,"lower bound",163,2410],[3,15,"p","(10,4,1)",7007,349,"lower bound",349,1688],[3,15,"p","(10,5)",1638,281,"lower bound",281,339],[3,15,"p","(11,1,1,1,1)",1001,177,"lower bound",177,197],[3,15,"p","(11,2,1,1)",2925,489,"lower bound",489,534],[3,15,"p","(11,2,2)",1925,315,"lower bound",315,316],[3,15,"p","(11,3,1)",2835,451,"lower bound",451,500],[3,15,"p","(11,4)",910,139,"lower bound",139,141],[3,15,"p","(12,1,1,1)",364,28,"exact",28,28],[3,15,"p","(12,2,1)",715,56,"exact",56,56],[3,15,"p","(12,3)",350,28,"exact",28,28],[3,15,"p","(3,3,3,3,3)",6006,1513,"lower bound",1513,2400],[3,15,"p","(4,3,3,2,2,1)",128700,9238,"lower bound",9238,50792],[3,15,"p","(4,3,3,3,1,1)",80080,4879,"lower bound",4879,31408],[3,15,"p","(4,3,3,3,2)",54054,4259,"lower bound",4259,21096],[3,15,"p","(4,4,2,2,2,1)",100100,2120,"lower bound",2120,39125],[3,15,"p","(4,4,3,2,1,1)",175175,1228,"lower bound",1228,67788],[3,15,"p","(4,4,3,2,2)",96525,37170,"upper bound",0,37170],[3,15,"p","(4,4,3,3,1)",81081,1019,"lower bound",1019,31032],[3,15,"p","(4,4,4,1,1,1)",50050,376,"lower bound",376,19147],[3,15,"p","(4,4,4,2,1)",75075,28500,"upper bound",0,28500],[3,15,"p","(4,4,4,3)",24024,1356,"lower bound",1356,9042],[3,15,"p","(5,3,2,2,2,1)",162162,2865,"lower bound",2865,62451],[3,15,"p","(5,3,3,1,1,1,1)",122850,5264,"lower bound",5264,47308],[3,15,"p","(5,3,3,2,1,1)",231660,88344,"upper bound",0,88344],[3,15,"p","(5,3,3,2,2)",126126,47866,"upper bound",0,47866],[3,15,"p","(5,3,3,3,1)",100100,37760,"upper bound",0,37760],[3,15,"p","(5,4,2,1,1,1,1)",159250,7348,"lower bound",7348,60760],[3,15,"p","(5,4,2,2,1,1)",243243,91908,"upper bound",0,91908],[3,15,"p","(5,4,2,2,2)",125125,47050,"upper bound",0,47050],[3,15,"p","(5,4,3,1,1,1)",210210,78876,"upper bound",0,78876],[3,15,"p","(5,4,3,2,1)",292864,109056,"upper bound",0,109056],[3,15,"p","(5,4,3,3)",75075,27720,"upper bound",0,27720],[3,15,"p","(5,4,4,1,1)",100100,36860,"upper bound",0,36860],[3,15,"p","(5,4,4,2)",81081,29700,"upper bound",0,29700],[3,15,"p","(5,5,1,1,1,1,1)",34398,3707,"lower bound",3707,12880],[3,15,"p","(5,5,2,1,1,1)",112112,41440,"upper bound",0,41440],[3,15,"p","(5,5,2,2,1)",125125,45900,"upper bound",0,45900],[3,15,"p","(5,5,3,1,1)",126126,45948,"upper bound",0,45948],[3,15,"p","(5,5,3,2)",96525,34980,"upper bound",0,34980],[3,15,"p","(5,5,4,1)",54054,19371,"upper bound",0,19371],[3,15,"p","(5,5,5)",6006,385,"lower bound",385,2112],[3,15,"p","(6,2,2,2,1,1,1)",75075,3623,"lower bound",3623,28240],[3,15,"p","(6,2,2,2,2,1)",63700,1312,"lower bound",1312,23800],[3,15,"p","(6,3,2,1,1,1,1)",150150,1467,"lower bound",1467,55877],[3,15,"p","(6,3,2,2,1,1)",221130,81513,"upper bound",0,81513],[3,15,"p","(6,3,2,2,2)",112112,41132,"upper bound",0,41132],[3,15,"p","(6,3,3,1,1,1)",156000,57120,"upper bound",0,57120],[3,15,"p","(6,3,3,2,1)",210210,76398,"upper bound",0,76398],[3,15,"p","(6,3,3,3)",50050,18040,"upper bound",0,18040],[3,15,"p","(6,4,1,1,1,1,1)",70070,2510,"lower bound",2510,25760],[3,15,"p","(6,4,2,1,1,1)",221130,80271,"upper bound",0,80271],[3,15,"p","(6,4,2,2,1)",243243,87642,"upper bound",0,87642],[3,15,"p","(6,4,3,1,1)",231660,82908,"upper bound",0,82908],[3,15,"p","(6,4,3,2)",175175,62370,"upper bound",0,62370],[3,15,"p","(6,4,4,1)",80080,28204,"upper bound",0,28204],[3,15,"p","(6,5,1,1,1,1)",63700,22722,"upper bound",0,22722],[3,15,"p","(6,5,2,1,1)",162162,57231,"upper bound",0,57231],[3,15,"p","(6,5,2,2)",100100,35145,"upper bound",0,35145],[3,15,"p","(6,5,3,1)",128700,44880,"upper bound",0,44880],[3,15,"p","(6,5,4)",30030,1917,"lower bound",1917,10329],[3,15,"p","(6,6,1,1,1)",28028,2,"lower bound",2,9660],[3,15,"p","(6,6,2,1)",50050,17105,"upper bound",0,17105],[3,15,"p","(6,6,3)",21450,2070,"lower bound",2070,7260],[3,15,"p","(7,2,1,1,1,1,1,1)",19305,5052,"lower bound",5052,6978],[3,15,"p","(7,2,2,1,1,1,1)",51975,3595,"lower bound",3595,18528],[3,15,"p","(7,2,2,2,1,1)",70070,24752,"upper bound",0,24752],[3,15,"p","(7,2,2,2,2)",34398,12096,"upper bound",0,12096],[3,15,"p","(7,3,1,1,1,1,1)",51975,2776,"lower bound",2776,18400],[3,15,"p","(7,3,2,1,1,1)",150150,52515,"upper bound",0,52515],[3,15,"p","(7,3,2,2,1)",159250,55300,"upper bound",0,55300],[3,15,"p","(7,3,3,1,1)",122850,42390,"upper bound",0,42390],[3,15,"p","(7,3,3,2)",90090,30932,"upper bound",0,30932],[3,15,"p","(7,4,1,1,1,1)",75075,25968,"upper bound",0,25968],[3,15,"p","(7,4,2,1,1)",184275,63090,"upper bound",0,63090],[3,15,"p","(7,4,2,2)",112112,38192,"upper bound",0,38192],[3,15,"p","(7,4,3,1)",135135,45738,"upper bound",0,45738],[3,15,"p","(7,4,4)",25025,1196,"lower bound",1196,8360],[3,15,"p","(7,5,1,1,1)",61425,20700,"upper bound",0,20700],[3,15,"p","(7,5,2,1)",108108,36135,"upper bound",0,36135],[3,15,"p","(7,5,3)",45045,2731,"lower bound",2731,14916],[3,15,"p","(7,6,1,1)",27027,1481,"lower bound",1481,8844],[3,15,"p","(7,6,2)",25025,1520,"lower bound",1520,8140],[3,15,"p","(7,7,1)",5005,632,"lower bound",632,1501],[3,15,"p","(8,1,1,1,1,1,1,1)",3432,1131,"lower bound",1131,1163],[3,15,"p","(8,2,1,1,1,1,1)",19305,2630,"lower bound",2630,6440],[3,15,"p","(8,2,2,1,1,1)",43120,14224,"upper bound",0,14224],[3,15,"p","(8,2,2,2,1)",42042,13776,"upper bound",0,13776],[3,15,"p","(8,3,1,1,1,1)",44550,14607,"upper bound",0,14607],[3,15,"p","(8,3,2,1,1)",100100,32510,"upper bound",0,32510],[3,15,"p","(8,3,2,2)",58968,19062,"upper bound",0,19062],[3,15,"p","(8,3,3,1)",57330,18424,"upper bound",0,18424],[3,15,"p","(8,4,1,1,1)",53625,17250,"upper bound",0,17250],[3,15,"p","(8,4,2,1)",91000,29050,"upper bound",0,29050],[3,15,"p","(8,4,3)",35035,1141,"lower bound",1141,11088],[3,15,"p","(8,5,1,1)",35100,265,"lower bound",265,11055],[3,15,"p","(8,5,2)",32032,498,"lower bound",498,10032],[3,15,"p","(8,6,1)",11583,1400,"lower bound",1400,3486],[3,15,"p","(8,7)",1430,361,"lower bound",361,364],[3,15,"p","(9,2,1,1,1,1)",14300,608,"lower bound",608,4328],[3,15,"p","(9,2,2,1,1)",24948,489,"lower bound",489,7488],[3,15,"p","(9,2,2,2)",13650,237,"lower bound",237,4080],[3,15,"p","(9,3,1,1,1)",26950,500,"lower bound",500,8050],[3,15,"p","(9,3,2,1)",42042,12474,"upper bound",0,12474],[3,15,"p","(9,3,3)",12740,510,"lower bound",510,3752],[3,15,"p","(9,4,1,1)",25025,155,"lower bound",155,7370],[3,15,"p","(9,4,2)",22113,6480,"upper bound",0,6480],[3,15,"p","(9,5,1)",11375,762,"lower bound",762,3249],[3,15,"p","(9,6)",2002,464,"lower bound",464,478],[3,6,"s","(6)",1,0,"exact",0,0],[3,6,"s","(5,1)",5,0,"exact",0,0],[3,6,"s","(4,2)",9,0,"exact",0,0],[3,6,"s","(4,1,1)",10,0,"exact",0,0],[3,6,"s","(3,3)",5,0,"exact",0,0],[3,6,"s","(3,2,1)",16,0,"exact",0,0],[3,6,"s","(3,1,1,1)",10,0,"exact",0,0],[3,6,"s","(2,2,2)",5,0,"exact",0,0],[3,6,"s","(2,2,1,1)",9,0,"exact",0,0],[3,6,"s","(2,1,1,1,1)",5,0,"exact",0,0],[3,6,"s","(1,1,1,1,1,1)",1,1,"exact",1,1],[3,7,"s","(7)",1,0,"exact",0,0],[3,7,"s","(6,1)",6,0,"exact",0,0],[3,7,"s","(5,2)",14,0,"exact",0,0],[3,7,"s","(5,1,1)",15,0,"exact",0,0],[3,7,"s","(4,3)",14,0,"exact",0,0],[3,7,"s","(4,2,1)",35,0,"exact",0,0],[3,7,"s","(4,1,1,1)",20,0,"exact",0,0],[3,7,"s","(3,3,1)",21,0,"exact",0,0],[3,7,"s","(3,2,2)",21,0,"exact",0,0],[3,7,"s","(3,2,1,1)",35,0,"exact",0,0],[3,7,"s","(3,1,1,1,1)",15,0,"lower bound",0,1],[3,7,"s","(2,2,2,1)",14,0,"exact",0,0],[3,7,"s","(2,2,1,1,1)",14,0,"lower bound",0,1],[3,7,"s","(2,1,1,1,1,1)",6,1,"lower 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bound",46,47],[3,9,"s","(3,1,1,1,1,1,1)",28,19,"exact",19,19],[3,9,"s","(2,2,2,2,1)",42,10,"exact",10,10],[3,9,"s","(2,2,2,1,1,1)",48,22,"exact",22,22],[3,9,"s","(2,2,1,1,1,1,1)",27,18,"exact",18,18],[3,9,"s","(2,1,1,1,1,1,1,1)",8,7,"exact",7,7],[3,9,"s","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"s","(10)",1,0,"exact",0,0],[3,10,"s","(9,1)",9,0,"exact",0,0],[3,10,"s","(8,2)",35,0,"exact",0,0],[3,10,"s","(8,1,1)",36,0,"exact",0,0],[3,10,"s","(7,3)",75,0,"lower bound",0,4],[3,10,"s","(7,2,1)",160,0,"lower bound",0,8],[3,10,"s","(7,1,1,1)",84,1,"lower bound",1,4],[3,10,"s","(6,4)",90,0,"lower bound",0,8],[3,10,"s","(6,3,1)",315,1,"lower bound",1,33],[3,10,"s","(6,2,2)",225,3,"lower bound",3,28],[3,10,"s","(6,2,1,1)",350,11,"lower bound",11,53],[3,10,"s","(6,1,1,1,1)",126,13,"lower bound",13,31],[3,10,"s","(5,5)",42,0,"lower bound",0,4],[3,10,"s","(5,4,1)",288,2,"lower bound",2,41],[3,10,"s","(5,3,2)",450,6,"lower bound",6,74],[3,10,"s","(5,3,1,1)",567,22,"lower bound",22,115],[3,10,"s","(5,2,2,1)",525,31,"lower bound",31,123],[3,10,"s","(5,2,1,1,1)",448,59,"lower bound",59,146],[3,10,"s","(5,1,1,1,1,1)",126,37,"lower bound",37,67],[3,10,"s","(4,4,2)",252,3,"lower bound",3,48],[3,10,"s","(4,4,1,1)",300,12,"lower bound",12,74],[3,10,"s","(4,3,3)",210,3,"lower bound",3,49],[3,10,"s","(4,3,2,1)",768,42,"lower bound",42,211],[3,10,"s","(4,3,1,1,1)",525,71,"lower bound",71,192],[3,10,"s","(4,2,2,2)",300,28,"lower bound",28,96],[3,10,"s","(4,2,2,1,1)",567,91,"lower bound",91,220],[3,10,"s","(4,2,1,1,1,1)",350,108,"lower bound",108,190],[3,10,"s","(4,1,1,1,1,1,1)",84,44,"lower bound",44,61],[3,10,"s","(3,3,3,1)",210,12,"lower bound",12,70],[3,10,"s","(3,3,2,2)",252,21,"lower bound",21,92],[3,10,"s","(3,3,2,1,1)",450,70,"lower bound",70,185],[3,10,"s","(3,3,1,1,1,1)",225,69,"lower bound",69,130],[3,10,"s","(3,2,2,2,1)",288,56,"lower bound",56,128],[3,10,"s","(3,2,2,1,1,1)",315,104,"lower bound",104,180],[3,10,"s","(3,2,1,1,1,1,1)",160,83,"lower bound",83,117],[3,10,"s","(3,1,1,1,1,1,1,1)",36,26,"lower bound",26,31],[3,10,"s","(2,2,2,2,2)",42,10,"lower bound",10,18],[3,10,"s","(2,2,2,2,1,1)",90,32,"lower bound",32,53],[3,10,"s","(2,2,2,1,1,1,1)",75,40,"lower bound",40,54],[3,10,"s","(2,2,1,1,1,1,1,1)",35,25,"lower bound",25,30],[3,10,"s","(2,1,1,1,1,1,1,1,1)",9,8,"lower bound",8,9],[3,10,"s","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,11,"s","(11)",1,0,"exact",0,0],[3,11,"s","(10,1)",10,0,"exact",0,0],[3,11,"s","(9,2)",44,0,"exact",0,0],[3,11,"s","(9,1,1)",45,0,"exact",0,0],[3,11,"s","(8,3)",110,0,"lower bound",0,10],[3,11,"s","(8,2,1)",231,0,"lower bound",0,20],[3,11,"s","(8,1,1,1)",120,1,"lower bound",1,10],[3,11,"s","(7,4)",165,0,"lower bound",0,28],[3,11,"s","(7,3,1)",550,1,"lower bound",1,104],[3,11,"s","(7,2,2)",385,3,"lower bound",3,82],[3,11,"s","(7,2,1,1)",594,12,"lower bound",12,142],[3,11,"s","(7,1,1,1,1)",210,14,"lower bound",14,69],[3,11,"s","(6,5)",132,0,"lower bound",0,28],[3,11,"s","(6,4,1)",693,3,"lower bound",3,183],[3,11,"s","(6,3,2)",990,10,"lower bound",10,290],[3,11,"s","(6,3,1,1)",1232,34,"lower bound",34,413],[3,11,"s","(6,2,2,1)",1100,45,"lower bound",45,402],[3,11,"s","(6,2,1,1,1)",924,83,"lower bound",83,415],[3,11,"s","(6,1,1,1,1,1)",252,50,"lower bound",50,155],[3,11,"s","(5,5,1)",330,2,"lower bound",2,99],[3,11,"s","(5,4,2)",990,11,"lower bound",11,347],[3,11,"s","(5,4,1,1)",1155,36,"lower bound",36,459],[3,11,"s","(5,3,3)",660,9,"lower bound",9,251],[3,11,"s","(5,3,2,1)",2310,101,"lower bound",101,1006],[3,11,"s","(5,3,1,1,1)",1540,152,"lower bound",152,795],[3,11,"s","(5,2,2,2)",825,59,"lower bound",59,399],[3,11,"s","(5,2,2,1,1)",1540,181,"lower bound",181,829],[3,11,"s","(5,2,1,1,1,1)",924,204,"lower bound",204,611],[3,11,"s","(5,1,1,1,1,1,1)",210,81,"lower bound",81,168],[3,11,"s","(4,4,3)",462,6,"lower bound",6,191],[3,11,"s","(4,4,2,1)",1320,57,"lower bound",57,626],[3,11,"s","(4,4,1,1,1)",825,83,"lower bound",83,456],[3,11,"s","(4,3,3,1)",1188,57,"lower bound",57,597],[3,11,"s","(4,3,2,2)",1320,91,"lower bound",91,704],[3,11,"s","(4,3,2,1,1)",2310,274,"lower bound",274,1347],[3,11,"s","(4,3,1,1,1,1)",1100,248,"lower bound",248,764],[3,11,"s","(4,2,2,2,1)",1155,175,"lower bound",175,710],[3,11,"s","(4,2,2,1,1,1)",1232,303,"lower bound",303,865],[3,11,"s","(4,2,1,1,1,1,1)",594,235,"lower bound",235,483],[3,11,"s","(4,1,1,1,1,1,1,1)",120,70,"lower bound",70,108],[3,11,"s","(3,3,3,2)",462,33,"lower bound",33,270],[3,11,"s","(3,3,3,1,1)",660,82,"lower bound",82,407],[3,11,"s","(3,3,2,2,1)",990,147,"lower bound",147,636],[3,11,"s","(3,3,2,1,1,1)",990,243,"lower bound",243,715],[3,11,"s","(3,3,1,1,1,1,1)",385,152,"lower bound",152,320],[3,11,"s","(3,2,2,2,2)",330,66,"lower bound",66,222],[3,11,"s","(3,2,2,2,1,1)",693,192,"lower bound",192,509],[3,11,"s","(3,2,2,1,1,1,1)",550,227,"lower bound",227,453],[3,11,"s","(3,2,1,1,1,1,1,1)",231,134,"lower bound",134,209],[3,11,"s","(3,1,1,1,1,1,1,1,1)",45,34,"lower bound",34,44],[3,11,"s","(2,2,2,2,2,1)",132,42,"lower bound",42,98],[3,11,"s","(2,2,2,2,1,1,1)",165,72,"lower bound",72,136],[3,11,"s","(2,2,2,1,1,1,1,1)",110,65,"lower bound",65,98],[3,11,"s","(2,2,1,1,1,1,1,1,1)",44,33,"lower bound",33,43],[3,11,"s","(2,1,1,1,1,1,1,1,1,1)",10,9,"lower bound",9,10],[3,11,"s","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"s","(12)",1,0,"lower bound",0,1],[3,12,"s","(11,1)",11,0,"lower bound",0,11],[3,12,"s","(10,2)",54,0,"lower bound",0,54],[3,12,"s","(10,1,1)",55,0,"lower bound",0,55],[3,12,"s","(9,3)",154,0,"lower bound",0,154],[3,12,"s","(9,2,1)",320,0,"lower bound",0,320],[3,12,"s","(9,1,1,1)",165,1,"lower bound",1,165],[3,12,"s","(8,4)",275,0,"lower bound",0,275],[3,12,"s","(8,3,1)",891,1,"lower bound",1,891],[3,12,"s","(8,2,2)",616,3,"lower bound",3,616],[3,12,"s","(8,2,1,1)",945,13,"lower bound",13,945],[3,12,"s","(8,1,1,1,1)",330,15,"lower bound",15,330],[3,12,"s","(7,5)",297,0,"lower bound",0,297],[3,12,"s","(7,4,1)",1408,4,"lower bound",4,1408],[3,12,"s","(7,3,2)",1925,14,"lower bound",14,1925],[3,12,"s","(7,3,1,1)",2376,47,"lower bound",47,2376],[3,12,"s","(7,2,2,1)",2079,60,"lower bound",60,2079],[3,12,"s","(7,2,1,1,1)",1728,109,"lower bound",109,1728],[3,12,"s","(7,1,1,1,1,1)",462,64,"lower bound",64,462],[3,12,"s","(6,6)",132,0,"lower bound",0,132],[3,12,"s","(6,5,1)",1155,5,"lower bound",5,1155],[3,12,"s","(6,4,2)",2673,24,"lower bound",24,2673],[3,12,"s","(6,4,1,1)",3080,73,"lower bound",73,3080],[3,12,"s","(6,3,3)",1650,19,"lower bound",19,1650],[3,12,"s","(6,3,2,1)",5632,190,"lower bound",190,5632],[3,12,"s","(6,3,1,1,1)",3696,269,"lower bound",269,3696],[3,12,"s","(6,2,2,2)",1925,104,"lower bound",104,1925],[3,12,"s","(6,2,2,1,1)",3564,309,"lower bound",309,3564],[3,12,"s","(6,2,1,1,1,1)",2100,337,"lower bound",337,2100],[3,12,"s","(6,1,1,1,1,1,1)",462,131,"lower bound",131,462],[3,12,"s","(5,5,2)",1320,13,"lower bound",13,1320],[3,12,"s","(5,5,1,1)",1485,38,"lower bound",38,1485],[3,12,"s","(5,4,3)",2112,26,"lower bound",26,2112],[3,12,"s","(5,4,2,1)",5775,205,"lower bound",205,5775],[3,12,"s","(5,4,1,1,1)",3520,271,"lower bound",271,3520],[3,12,"s","(5,3,3,1)",4158,167,"lower bound",167,4158],[3,12,"s","(5,3,2,2)",4455,251,"lower bound",251,4455],[3,12,"s","(5,3,2,1,1)",7700,708,"lower bound",708,7700],[3,12,"s","(5,3,1,1,1,1)",3564,604,"lower bound",604,3564],[3,12,"s","(5,2,2,2,1)",3520,415,"lower bound",415,3520],[3,12,"s","(5,2,2,1,1,1)",3696,688,"lower bound",688,3696],[3,12,"s","(5,2,1,1,1,1,1)",1728,520,"lower bound",520,1728],[3,12,"s","(5,1,1,1,1,1,1,1)",330,151,"lower bound",151,330],[3,12,"s","(4,4,4)",462,6,"lower bound",6,462],[3,12,"s","(4,4,3,1)",2970,120,"lower bound",120,2970],[3,12,"s","(4,4,2,2)",2640,148,"lower bound",148,2640],[3,12,"s","(4,4,2,1,1)",4455,414,"lower bound",414,4455],[3,12,"s","(4,4,1,1,1,1)",1925,331,"lower bound",331,1925],[3,12,"s","(4,3,3,2)",2970,181,"lower bound",181,2970],[3,12,"s","(4,3,3,1,1)",4158,413,"lower bound",413,4158],[3,12,"s","(4,3,2,2,1)",5775,687,"lower bound",687,5775],[3,12,"s","(4,3,2,1,1,1)",5632,1068,"lower bound",1068,5632],[3,12,"s","(4,3,1,1,1,1,1)",2079,635,"lower bound",635,2079],[3,12,"s","(4,2,2,2,2)",1485,241,"lower bound",241,1485],[3,12,"s","(4,2,2,2,1,1)",3080,670,"lower bound",670,3080],[3,12,"s","(4,2,2,1,1,1,1)",2376,765,"lower bound",765,2376],[3,12,"s","(4,2,1,1,1,1,1,1)",945,439,"lower bound",439,945],[3,12,"s","(4,1,1,1,1,1,1,1,1)",165,104,"lower bound",104,165],[3,12,"s","(3,3,3,3)",462,33,"lower bound",33,462],[3,12,"s","(3,3,3,2,1)",2112,262,"lower bound",262,2112],[3,12,"s","(3,3,3,1,1,1)",1650,325,"lower bound",325,1650],[3,12,"s","(3,3,2,2,2)",1320,213,"lower bound",213,1320],[3,12,"s","(3,3,2,2,1,1)",2673,582,"lower bound",582,2673],[3,12,"s","(3,3,2,1,1,1,1)",1925,622,"lower bound",622,1925],[3,12,"s","(3,3,1,1,1,1,1,1)",616,286,"lower bound",286,616],[3,12,"s","(3,2,2,2,2,1)",1155,300,"lower bound",300,1155],[3,12,"s","(3,2,2,2,1,1,1)",1408,491,"lower bound",491,1408],[3,12,"s","(3,2,2,1,1,1,1,1)",891,426,"lower bound",426,891],[3,12,"s","(3,2,1,1,1,1,1,1,1)",320,201,"lower bound",201,320],[3,12,"s","(3,1,1,1,1,1,1,1,1,1)",55,43,"lower bound",43,55],[3,12,"s","(2,2,2,2,2,2)",132,42,"lower bound",42,132],[3,12,"s","(2,2,2,2,2,1,1)",297,114,"lower bound",114,297],[3,12,"s","(2,2,2,2,1,1,1,1)",275,137,"lower bound",137,275],[3,12,"s","(2,2,2,1,1,1,1,1,1)",154,98,"lower bound",98,154],[3,12,"s","(2,2,1,1,1,1,1,1,1,1)",54,42,"lower bound",42,54],[3,12,"s","(2,1,1,1,1,1,1,1,1,1,1)",11,10,"lower bound",10,11],[3,12,"s","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"s","(13)",1,0,"lower bound",0,1],[3,13,"s","(12,1)",12,0,"lower bound",0,12],[3,13,"s","(11,2)",65,0,"lower bound",0,65],[3,13,"s","(11,1,1)",66,0,"lower bound",0,66],[3,13,"s","(10,3)",208,0,"lower bound",0,208],[3,13,"s","(10,2,1)",429,0,"lower bound",0,429],[3,13,"s","(10,1,1,1)",220,1,"lower bound",1,220],[3,13,"s","(9,4)",429,0,"lower bound",0,429],[3,13,"s","(9,3,1)",1365,1,"lower bound",1,1365],[3,13,"s","(9,2,2)",936,3,"lower bound",3,936],[3,13,"s","(9,2,1,1)",1430,14,"lower bound",14,1430],[3,13,"s","(9,1,1,1,1)",495,16,"lower bound",16,495],[3,13,"s","(8,5)",572,0,"lower bound",0,572],[3,13,"s","(8,4,1)",2574,5,"lower bound",5,2574],[3,13,"s","(8,3,2)",3432,18,"lower bound",18,3432],[3,13,"s","(8,3,1,1)",4212,61,"lower bound",61,4212],[3,13,"s","(8,2,2,1)",3640,76,"lower bound",76,3640],[3,13,"s","(8,2,1,1,1)",3003,137,"lower bound",137,3003],[3,13,"s","(8,1,1,1,1,1)",792,79,"lower bound",79,792],[3,13,"s","(7,6)",429,0,"lower bound",0,429],[3,13,"s","(7,5,1)",2860,9,"lower bound",9,2860],[3,13,"s","(7,4,2)",6006,42,"lower bound",42,6006],[3,13,"s","(7,4,1,1)",6864,124,"lower bound",124,6864],[3,13,"s","(7,3,3)",3575,33,"lower bound",33,3575],[3,13,"s","(7,3,2,1)",12012,311,"lower bound",311,12012],[3,13,"s","(7,3,1,1,1)",7800,425,"lower bound",425,7800],[3,13,"s","(7,2,2,2)",4004,164,"lower bound",164,4004],[3,13,"s","(7,2,2,1,1)",7371,478,"lower bound",478,7371],[3,13,"s","(7,2,1,1,1,1)",4290,510,"lower bound",510,4290],[3,13,"s","(7,1,1,1,1,1,1)",924,195,"lower bound",195,924],[3,13,"s","(6,6,1)",1287,5,"lower bound",5,1287],[3,13,"s","(6,5,2)",5148,42,"lower bound",42,5148],[3,13,"s","(6,5,1,1)",5720,116,"lower bound",116,5720],[3,13,"s","(6,4,3)",6435,69,"lower bound",69,6435],[3,13,"s","(6,4,2,1)",17160,492,"lower bound",492,17160],[3,13,"s","(6,4,1,1,1)",10296,613,"lower bound",613,10296],[3,13,"s","(6,3,3,1)",11440,376,"lower bound",376,11440],[3,13,"s","(6,3,2,2)",12012,545,"lower bound",545,12012],[3,13,"s","(6,3,2,1,1)",20592,1476,"lower bound",1476,20592],[3,13,"s","(6,3,1,1,1,1)",9360,1210,"lower bound",1210,9360],[3,13,"s","(6,2,2,2,1)",9009,828,"lower bound",828,9009],[3,13,"s","(6,2,2,1,1,1)",9360,1334,"lower bound",1334,9360],[3,13,"s","(6,2,1,1,1,1,1)",4290,988,"lower bound",988,4290],[3,13,"s","(6,1,1,1,1,1,1,1)",792,282,"lower bound",282,792],[3,13,"s","(5,5,3)",3432,39,"lower bound",39,3432],[3,13,"s","(5,5,2,1)",8580,256,"lower bound",256,8580],[3,13,"s","(5,5,1,1,1)",5005,309,"lower bound",309,5005],[3,13,"s","(5,4,4)",2574,32,"lower bound",32,2574],[3,13,"s","(5,4,3,1)",15015,518,"lower bound",518,15015],[3,13,"s","(5,4,2,2)",12870,604,"lower bound",604,12870],[3,13,"s","(5,4,2,1,1)",21450,1598,"lower bound",1598,21450],[3,13,"s","(5,4,1,1,1,1)",9009,1206,"lower bound",1206,9009],[3,13,"s","(5,3,3,2)",11583,599,"lower bound",599,11583],[3,13,"s","(5,3,3,1,1)",16016,1288,"lower bound",1288,16016],[3,13,"s","(5,3,2,2,1)",21450,2061,"lower bound",2061,21450],[3,13,"s","(5,3,2,1,1,1)",20592,3068,"lower bound",3068,20592],[3,13,"s","(5,3,1,1,1,1,1)",7371,1759,"lower bound",1759,7371],[3,13,"s","(5,2,2,2,2)",5005,656,"lower bound",656,5005],[3,13,"s","(5,2,2,2,1,1)",10296,1773,"lower bound",1773,10296],[3,13,"s","(5,2,2,1,1,1,1)",7800,1973,"lower bound",1973,7800],[3,13,"s","(5,2,1,1,1,1,1,1)",3003,1110,"lower bound",1110,3003],[3,13,"s","(5,1,1,1,1,1,1,1,1)",495,255,"lower bound",255,495],[3,13,"s","(4,4,4,1)",3432,126,"lower bound",126,3432],[3,13,"s","(4,4,3,2)",8580,449,"lower bound",449,8580],[3,13,"s","(4,4,3,1,1)",11583,947,"lower bound",947,11583],[3,13,"s","(4,4,2,2,1)",12870,1249,"lower bound",1249,12870],[3,13,"s","(4,4,2,1,1,1)",12012,1813,"lower bound",1813,12012],[3,13,"s","(4,4,1,1,1,1,1)",4004,966,"lower bound",966,4004],[3,13,"s","(4,3,3,3)",3432,214,"lower bound",214,3432],[3,13,"s","(4,3,3,2,1)",15015,1543,"lower bound",1543,15015],[3,13,"s","(4,3,3,1,1,1)",11440,1806,"lower bound",1806,11440],[3,13,"s","(4,3,2,2,2)",8580,1141,"lower bound",1141,8580],[3,13,"s","(4,3,2,2,1,1)",17160,3007,"lower bound",3007,17160],[3,13,"s","(4,3,2,1,1,1,1)",12012,3090,"lower bound",3090,12012],[3,13,"s","(4,3,1,1,1,1,1,1)",3640,1360,"lower bound",1360,3640],[3,13,"s","(4,2,2,2,2,1)",5720,1211,"lower bound",1211,5720],[3,13,"s","(4,2,2,2,1,1,1)",6864,1926,"lower bound",1926,6864],[3,13,"s","(4,2,2,1,1,1,1,1)",4212,1630,"lower bound",1630,4212],[3,13,"s","(4,2,1,1,1,1,1,1,1)",1430,744,"lower bound",744,1430],[3,13,"s","(4,1,1,1,1,1,1,1,1,1)",220,147,"lower bound",147,220],[3,13,"s","(3,3,3,3,1)",2574,295,"lower bound",295,2574],[3,13,"s","(3,3,3,2,2)",3432,475,"lower bound",475,3432],[3,13,"s","(3,3,3,2,1,1)",6435,1169,"lower bound",1169,6435],[3,13,"s","(3,3,3,1,1,1,1)",3575,947,"lower bound",947,3575],[3,13,"s","(3,3,2,2,2,1)",5148,1095,"lower bound",1095,5148],[3,13,"s","(3,3,2,2,1,1,1)",6006,1695,"lower bound",1695,6006],[3,13,"s","(3,3,2,1,1,1,1,1)",3432,1334,"lower bound",1334,3432],[3,13,"s","(3,3,1,1,1,1,1,1,1)",936,487,"lower bound",487,936],[3,13,"s","(3,2,2,2,2,2)",1287,342,"lower bound",342,1287],[3,13,"s","(3,2,2,2,2,1,1)",2860,905,"lower bound",905,2860],[3,13,"s","(3,2,2,2,1,1,1,1)",2574,1054,"lower bound",1054,2574],[3,13,"s","(3,2,2,1,1,1,1,1,1)",1365,725,"lower bound",725,1365],[3,13,"s","(3,2,1,1,1,1,1,1,1,1)",429,286,"lower bound",286,429],[3,13,"s","(3,1,1,1,1,1,1,1,1,1,1)",66,53,"lower bound",53,66],[3,13,"s","(2,2,2,2,2,2,1)",429,156,"lower bound",156,429],[3,13,"s","(2,2,2,2,2,1,1,1)",572,251,"lower bound",251,572],[3,13,"s","(2,2,2,2,1,1,1,1,1)",429,235,"lower bound",235,429],[3,13,"s","(2,2,2,1,1,1,1,1,1,1)",208,140,"lower bound",140,208],[3,13,"s","(2,2,1,1,1,1,1,1,1,1,1)",65,52,"lower bound",52,65],[3,13,"s","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"lower bound",11,12],[3,13,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"s","(14)",1,0,"lower bound",0,1],[3,14,"s","(13,1)",13,0,"lower bound",0,13],[3,14,"s","(12,2)",77,0,"lower bound",0,77],[3,14,"s","(12,1,1)",78,0,"lower bound",0,78],[3,14,"s","(11,3)",273,0,"lower bound",0,273],[3,14,"s","(11,2,1)",560,0,"lower bound",0,560],[3,14,"s","(11,1,1,1)",286,1,"lower bound",1,286],[3,14,"s","(10,4)",637,0,"lower bound",0,637],[3,14,"s","(10,3,1)",2002,1,"lower bound",1,2002],[3,14,"s","(10,2,2)",1365,3,"lower bound",3,1365],[3,14,"s","(10,2,1,1)",2079,15,"lower bound",15,2079],[3,14,"s","(10,1,1,1,1)",715,17,"lower bound",17,715],[3,14,"s","(9,5)",1001,0,"lower bound",0,1001],[3,14,"s","(9,4,1)",4368,6,"lower bound",6,4368],[3,14,"s","(9,3,2)",5733,22,"lower bound",22,5733],[3,14,"s","(9,3,1,1)",7007,76,"lower bound",76,7007],[3,14,"s","(9,2,2,1)",6006,93,"lower bound",93,6006],[3,14,"s","(9,2,1,1,1)",4928,167,"lower bound",167,4928],[3,14,"s","(9,1,1,1,1,1)",1287,95,"lower bound",95,1287],[3,14,"s","(8,6)",1001,0,"lower bound",0,1001],[3,14,"s","(8,5,1)",6006,14,"lower bound",14,6006],[3,14,"s","(8,4,2)",12012,65,"lower bound",65,12012],[3,14,"s","(8,4,1,1)",13650,190,"lower bound",190,13650],[3,14,"s","(8,3,3)",7007,51,"lower bound",51,7007],[3,14,"s","(8,3,2,1)",23296,466,"lower bound",466,23296],[3,14,"s","(8,3,1,1,1)",15015,623,"lower bound",623,15015],[3,14,"s","(8,2,2,2)",7644,240,"lower bound",240,7644],[3,14,"s","(8,2,2,1,1)",14014,691,"lower bound",691,14014],[3,14,"s","(8,2,1,1,1,1)",8085,726,"lower bound",726,8085],[3,14,"s","(8,1,1,1,1,1,1)",1716,274,"lower bound",274,1716],[3,14,"s","(7,7)",429,0,"lower bound",0,429],[3,14,"s","(7,6,1)",4576,14,"lower bound",14,4576],[3,14,"s","(7,5,2)",14014,93,"lower bound",93,14014],[3,14,"s","(7,5,1,1)",15444,249,"lower bound",249,15444],[3,14,"s","(7,4,3)",16016,144,"lower bound",144,16016],[3,14,"s","(7,4,2,1)",42042,969,"lower bound",969,42042],[3,14,"s","(7,4,1,1,1)",24960,1162,"lower bound",1162,24960],[3,14,"s","(7,3,3,1)",27027,720,"lower bound",720,27027],[3,14,"s","(7,3,2,2)",28028,1020,"lower bound",1020,28028],[3,14,"s","(7,3,2,1,1)",47775,2690,"lower bound",2690,47775],[3,14,"s","(7,3,1,1,1,1)",21450,2145,"lower bound",2145,21450],[3,14,"s","(7,2,2,2,1)",20384,1470,"lower bound",1470,20384],[3,14,"s","(7,2,2,1,1,1)",21021,2322,"lower bound",2322,21021],[3,14,"s","(7,2,1,1,1,1,1)",9504,1693,"lower bound",1693,9504],[3,14,"s","(7,1,1,1,1,1,1,1)",1716,477,"lower bound",477,1716],[3,14,"s","(6,6,2)",6435,47,"lower bound",47,6435],[3,14,"s","(6,6,1,1)",7007,121,"lower bound",121,7007],[3,14,"s","(6,5,3)",15015,150,"lower bound",150,15015],[3,14,"s","(6,5,2,1)",36608,906,"lower bound",906,36608],[3,14,"s","(6,5,1,1,1)",21021,1038,"lower bound",1038,21021],[3,14,"s","(6,4,4)",9009,101,"lower bound",101,9009],[3,14,"s","(6,4,3,1)",50050,1455,"lower bound",1455,50050],[3,14,"s","(6,4,2,2)",42042,1641,"lower bound",1641,42042],[3,14,"s","(6,4,2,1,1)",69498,4179,"lower bound",4179,69498],[3,14,"s","(6,4,1,1,1,1)",28665,3029,"lower bound",3029,28665],[3,14,"s","(6,3,3,2)",35035,1520,"lower bound",1520,35035],[3,14,"s","(6,3,3,1,1)",48048,3140,"lower bound",3140,48048],[3,14,"s","(6,3,2,2,1)",63063,4910,"lower bound",4910,63063],[3,14,"s","(6,3,2,1,1,1)",59904,7088,"lower bound",7088,59904],[3,14,"s","(6,3,1,1,1,1,1)",21021,3957,"lower bound",3957,21021],[3,14,"s","(6,2,2,2,2)",14014,1484,"lower bound",1484,14014],[3,14,"s","(6,2,2,2,1,1)",28665,3935,"lower bound",3935,28665],[3,14,"s","(6,2,2,1,1,1,1)",21450,4295,"lower bound",4295,21450],[3,14,"s","(6,2,1,1,1,1,1,1)",8085,2380,"lower bound",2380,8085],[3,14,"s","(6,1,1,1,1,1,1,1,1)",1287,537,"lower bound",537,1287],[3,14,"s","(5,5,4)",6006,71,"lower bound",71,6006],[3,14,"s","(5,5,3,1)",27027,813,"lower bound",813,27027],[3,14,"s","(5,5,2,2)",21450,860,"lower bound",860,21450],[3,14,"s","(5,5,2,1,1)",35035,2163,"lower bound",2163,35035],[3,14,"s","(5,5,1,1,1,1)",14014,1515,"lower bound",1515,14014],[3,14,"s","(5,4,4,1)",21021,676,"lower bound",676,21021],[3,14,"s","(5,4,3,2)",48048,2170,"lower bound",2170,48048],[3,14,"s","(5,4,3,1,1)",64064,4351,"lower bound",4351,64064],[3,14,"s","(5,4,2,2,1)",68640,5512,"lower bound",5512,68640],[3,14,"s","(5,4,2,1,1,1)",63063,7685,"lower bound",7685,63063],[3,14,"s","(5,4,1,1,1,1,1)",20384,3931,"lower bound",3931,20384],[3,14,"s","(5,3,3,3)",15015,813,"lower bound",813,15015],[3,14,"s","(5,3,3,2,1)",64064,5491,"lower bound",5491,64064],[3,14,"s","(5,3,3,1,1,1)",48048,6162,"lower bound",6162,48048],[3,14,"s","(5,3,2,2,2)",35035,3858,"lower bound",3858,35035],[3,14,"s","(5,3,2,2,1,1)",69498,9909,"lower bound",9909,69498],[3,14,"s","(5,3,2,1,1,1,1)",47775,9890,"lower bound",9890,47775],[3,14,"s","(5,3,1,1,1,1,1,1)",14014,4229,"lower bound",4229,14014],[3,14,"s","(5,2,2,2,2,1)",21021,3640,"lower bound",3640,21021],[3,14,"s","(5,2,2,2,1,1,1)",24960,5672,"lower bound",5672,24960],[3,14,"s","(5,2,2,1,1,1,1,1)",15015,4713,"lower bound",4713,15015],[3,14,"s","(5,2,1,1,1,1,1,1,1)",4928,2109,"lower bound",2109,4928],[3,14,"s","(5,1,1,1,1,1,1,1,1,1)",715,402,"lower bound",402,715],[3,14,"s","(4,4,4,2)",12012,575,"lower bound",575,12012],[3,14,"s","(4,4,4,1,1)",15015,1073,"lower bound",1073,15015],[3,14,"s","(4,4,3,3)",12012,663,"lower bound",663,12012],[3,14,"s","(4,4,3,2,1)",48048,4188,"lower bound",4188,48048],[3,14,"s","(4,4,3,1,1,1)",35035,4566,"lower bound",4566,35035],[3,14,"s","(4,4,2,2,2)",21450,2390,"lower bound",2390,21450],[3,14,"s","(4,4,2,2,1,1)",42042,6069,"lower bound",6069,42042],[3,14,"s","(4,4,2,1,1,1,1)",28028,5869,"lower bound",5869,28028],[3,14,"s","(4,4,1,1,1,1,1,1)",7644,2326,"lower bound",2326,7644],[3,14,"s","(4,3,3,3,1)",21021,2052,"lower bound",2052,21021],[3,14,"s","(4,3,3,2,2)",27027,3159,"lower bound",3159,27027],[3,14,"s","(4,3,3,2,1,1)",50050,7525,"lower bound",7525,50050],[3,14,"s","(4,3,3,1,1,1,1)",27027,5843,"lower bound",5843,27027],[3,14,"s","(4,3,2,2,2,1)",36608,6454,"lower bound",6454,36608],[3,14,"s","(4,3,2,2,1,1,1)",42042,9718,"lower bound",9718,42042],[3,14,"s","(4,3,2,1,1,1,1,1)",23296,7414,"lower bound",7414,23296],[3,14,"s","(4,3,1,1,1,1,1,1,1)",6006,2591,"lower bound",2591,6006],[3,14,"s","(4,2,2,2,2,2)",7007,1553,"lower bound",1553,7007],[3,14,"s","(4,2,2,2,2,1,1)",15444,4042,"lower bound",4042,15444],[3,14,"s","(4,2,2,2,1,1,1,1)",13650,4610,"lower bound",4610,13650],[3,14,"s","(4,2,2,1,1,1,1,1,1)",7007,3099,"lower bound",3099,7007],[3,14,"s","(4,2,1,1,1,1,1,1,1,1)",2079,1177,"lower bound",1177,2079],[3,14,"s","(4,1,1,1,1,1,1,1,1,1,1)",286,200,"lower bound",200,286],[3,14,"s","(3,3,3,3,2)",6006,770,"lower bound",770,6006],[3,14,"s","(3,3,3,3,1,1)",9009,1464,"lower bound",1464,9009],[3,14,"s","(3,3,3,2,2,1)",15015,2739,"lower bound",2739,15015],[3,14,"s","(3,3,3,2,1,1,1)",16016,3811,"lower bound",3811,16016],[3,14,"s","(3,3,3,1,1,1,1,1)",7007,2281,"lower bound",2281,7007],[3,14,"s","(3,3,2,2,2,2)",6435,1437,"lower bound",1437,6435],[3,14,"s","(3,3,2,2,2,1,1)",14014,3695,"lower bound",3695,14014],[3,14,"s","(3,3,2,2,1,1,1,1)",12012,4083,"lower bound",4083,12012],[3,14,"s","(3,3,2,1,1,1,1,1,1)",5733,2546,"lower bound",2546,5733],[3,14,"s","(3,3,1,1,1,1,1,1,1,1)",1365,773,"lower bound",773,1365],[3,14,"s","(3,2,2,2,2,2,1)",4576,1403,"lower bound",1403,4576],[3,14,"s","(3,2,2,2,2,1,1,1)",6006,2210,"lower bound",2210,6006],[3,14,"s","(3,2,2,2,1,1,1,1,1)",4368,2014,"lower bound",2014,4368],[3,14,"s","(3,2,2,1,1,1,1,1,1,1)",2002,1151,"lower bound",1151,2002],[3,14,"s","(3,2,1,1,1,1,1,1,1,1,1)",560,391,"lower bound",391,560],[3,14,"s","(3,1,1,1,1,1,1,1,1,1,1,1)",78,64,"lower bound",64,78],[3,14,"s","(2,2,2,2,2,2,2)",429,156,"lower bound",156,429],[3,14,"s","(2,2,2,2,2,2,1,1)",1001,407,"lower bound",407,1001],[3,14,"s","(2,2,2,2,2,1,1,1,1)",1001,486,"lower bound",486,1001],[3,14,"s","(2,2,2,2,1,1,1,1,1,1)",637,375,"lower bound",375,637],[3,14,"s","(2,2,2,1,1,1,1,1,1,1,1)",273,192,"lower bound",192,273],[3,14,"s","(2,2,1,1,1,1,1,1,1,1,1,1)",77,63,"lower bound",63,77],[3,14,"s","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,12,"lower bound",12,13],[3,14,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,1,"t","(1)",1,0,"exact",0,0],[3,2,"t","(2)",1,0,"exact",0,0],[3,2,"t","(1,1)",1,0,"exact",0,0],[3,3,"t","(3)",1,0,"exact",0,0],[3,3,"t","(2,1)",2,0,"exact",0,0],[3,3,"t","(1,1,1)",1,0,"exact",0,0],[3,4,"t","(1,1,1,1)",1,0,"exact",0,0],[3,4,"t","(2,1,1)",3,0,"exact",0,0],[3,4,"t","(2,2)",2,0,"exact",0,0],[3,4,"t","(3,1)",3,0,"exact",0,0],[3,4,"t","(4)",1,0,"unchecked",0,0],[3,5,"t","(1,1,1,1,1)",1,0,"exact",0,0],[3,5,"t","(2,1,1,1)",4,0,"exact",0,0],[3,5,"t","(2,2,1)",5,0,"exact",0,0],[3,5,"t","(3,1,1)",6,0,"exact",0,0],[3,5,"t","(3,2)",5,0,"exact",0,0],[3,5,"t","(4,1)",4,0,"exact",0,0],[3,5,"t","(5)",1,0,"unchecked",0,0],[3,6,"t","(1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,6,"t","(2,1,1,1,1)",5,0,"exact",0,0],[3,6,"t","(2,2,1,1)",9,0,"exact",0,0],[3,6,"t","(2,2,2)",5,1,"upper bound",0,1],[3,6,"t","(3,1,1,1)",10,1,"upper bound",0,1],[3,6,"t","(3,2,1)",16,0,"exact",0,0],[3,6,"t","(3,3)",5,0,"exact",0,0],[3,6,"t","(4,1,1)",10,1,"upper bound",0,1],[3,6,"t","(4,2)",9,1,"upper bound",0,1],[3,6,"t","(5,1)",5,0,"exact",0,0],[3,6,"t","(6)",1,0,"unchecked",0,0],[3,7,"t","(1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,7,"t","(2,1,1,1,1,1)",6,3,"exact",3,3],[3,7,"t","(2,2,1,1,1)",14,1,"lower bound",1,4],[3,7,"t","(2,2,2,1)",14,4,"upper bound",0,4],[3,7,"t","(3,1,1,1,1)",15,1,"lower bound",1,4],[3,7,"t","(3,2,1,1)",35,9,"upper bound",0,9],[3,7,"t","(3,2,2)",21,5,"upper bound",0,5],[3,7,"t","(3,3,1)",21,5,"upper bound",0,5],[3,7,"t","(4,1,1,1)",20,6,"upper bound",0,6],[3,7,"t","(4,2,1)",35,7,"upper bound",0,7],[3,7,"t","(4,3)",14,3,"upper bound",0,3],[3,7,"t","(5,1,1)",15,3,"upper bound",0,3],[3,7,"t","(5,2)",14,3,"upper bound",0,3],[3,7,"t","(6,1)",6,0,"exact",0,0],[3,7,"t","(7)",1,0,"unchecked",0,0],[3,8,"t","(1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,8,"t","(2,1,1,1,1,1,1)",7,5,"exact",5,5],[3,8,"t","(2,2,1,1,1,1)",20,8,"lower bound",8,12],[3,8,"t","(2,2,2,1,1)",28,4,"lower bound",4,16],[3,8,"t","(2,2,2,2)",14,6,"upper bound",0,6],[3,8,"t","(8)",1,0,"exact",0,0],[3,8,"t","(4,2,1,1)",90,2,"lower bound",2,43],[3,8,"t","(4,1,1,1,1)",35,4,"lower bound",4,18],[3,8,"t","(3,2,2,1)",70,2,"lower bound",2,36],[3,8,"t","(3,2,1,1,1)",64,8,"lower bound",8,36],[3,8,"t","(3,1,1,1,1,1)",21,9,"lower bound",9,14],[3,8,"t","(7,1)",7,0,"exact",0,0],[3,8,"t","(4,4)",14,5,"upper bound",0,5],[3,8,"t","(6,2)",20,6,"upper bound",0,6],[3,8,"t","(6,1,1)",21,6,"upper bound",0,6],[3,8,"t","(5,3)",28,10,"upper bound",0,10],[3,8,"t","(5,1,1,1)",35,16,"upper bound",0,16],[3,8,"t","(3,3,2)",42,19,"upper bound",0,19],[3,8,"t","(3,3,1,1)",56,28,"upper bound",0,28],[3,8,"t","(4,2,2)",56,24,"upper bound",0,24],[3,8,"t","(5,2,1)",64,24,"upper bound",0,24],[3,8,"t","(4,3,1)",70,30,"upper bound",0,30],[3,9,"t","(1,1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[3,9,"t","(9)",1,0,"exact",0,0],[3,9,"t","(6,3)",48,1,"lower bound",1,23],[3,9,"t","(6,2,1)",105,2,"lower bound",2,53],[3,9,"t","(6,1,1,1)",56,1,"lower bound",1,32],[3,9,"t","(5,4)",42,1,"lower bound",1,22],[3,9,"t","(5,3,1)",162,5,"lower bound",5,93],[3,9,"t","(5,2,2)",120,6,"lower bound",6,71],[3,9,"t","(5,2,1,1)",189,13,"lower bound",13,119],[3,9,"t","(5,1,1,1,1)",70,12,"lower bound",12,48],[3,9,"t","(4,4,1)",84,4,"lower bound",4,50],[3,9,"t","(4,3,2)",168,8,"lower bound",8,104],[3,9,"t","(4,3,1,1)",216,18,"lower bound",18,144],[3,9,"t","(4,2,2,1)",216,23,"lower bound",23,146],[3,9,"t","(4,2,1,1,1)",189,39,"lower bound",39,138],[3,9,"t","(4,1,1,1,1,1)",56,25,"lower bound",25,45],[3,9,"t","(3,3,3)",42,6,"lower bound",6,27],[3,9,"t","(3,3,2,1)",168,20,"lower bound",20,116],[3,9,"t","(3,3,1,1,1)",120,26,"lower bound",26,89],[3,9,"t","(3,2,2,2)",84,14,"lower bound",14,59],[3,9,"t","(3,2,2,1,1)",162,38,"lower bound",38,120],[3,9,"t","(3,2,1,1,1,1)",105,47,"lower bound",47,85],[3,9,"t","(3,1,1,1,1,1,1)",28,19,"lower bound",19,24],[3,9,"t","(2,2,2,2,1)",42,10,"lower bound",10,31],[3,9,"t","(2,2,2,1,1,1)",48,22,"lower bound",22,38],[3,9,"t","(2,2,1,1,1,1,1)",27,18,"lower bound",18,23],[3,9,"t","(2,1,1,1,1,1,1,1)",8,7,"exact",7,7],[3,9,"t","(8,1)",8,0,"exact",0,0],[3,9,"t","(7,2)",27,10,"upper bound",0,10],[3,9,"t","(7,1,1)",28,10,"upper bound",0,10],[3,10,"t","(10)",1,0,"exact",0,0],[3,10,"t","(7,3)",75,4,"lower bound",4,43],[3,10,"t","(7,2,1)",160,8,"lower bound",8,96],[3,10,"t","(7,1,1,1)",84,4,"lower bound",4,55],[3,10,"t","(6,4)",90,8,"lower bound",8,57],[3,10,"t","(6,3,1)",315,33,"lower bound",33,216],[3,10,"t","(6,2,2)",225,28,"lower bound",28,157],[3,10,"t","(6,2,1,1)",350,53,"lower bound",53,258],[3,10,"t","(6,1,1,1,1)",126,31,"lower bound",31,98],[3,10,"t","(5,5)",42,4,"lower bound",4,27],[3,10,"t","(5,4,1)",288,41,"lower bound",41,206],[3,10,"t","(5,3,2)",450,74,"lower bound",74,333],[3,10,"t","(5,3,1,1)",567,115,"lower bound",115,439],[3,10,"t","(5,2,2,1)",525,123,"lower bound",123,413],[3,10,"t","(5,2,1,1,1)",448,146,"lower bound",146,372],[3,10,"t","(5,1,1,1,1,1)",126,67,"lower bound",67,112],[3,10,"t","(4,4,2)",252,48,"lower bound",48,189],[3,10,"t","(4,4,1,1)",300,74,"lower bound",74,238],[3,10,"t","(4,3,3)",210,49,"lower bound",49,161],[3,10,"t","(4,3,2,1)",768,211,"lower bound",211,618],[3,10,"t","(4,3,1,1,1)",525,192,"lower bound",192,444],[3,10,"t","(4,2,2,2)",300,96,"lower bound",96,245],[3,10,"t","(4,2,2,1,1)",567,220,"lower bound",220,483],[3,10,"t","(4,2,1,1,1,1)",350,190,"lower bound",190,313],[3,10,"t","(4,1,1,1,1,1,1)",84,61,"lower bound",61,79],[3,10,"t","(3,3,3,1)",210,70,"lower bound",70,171],[3,10,"t","(3,3,2,2)",252,92,"lower bound",92,210],[3,10,"t","(3,3,2,1,1)",450,185,"lower bound",185,384],[3,10,"t","(3,3,1,1,1,1)",225,130,"lower bound",130,204],[3,10,"t","(3,2,2,2,1)",288,128,"lower bound",128,248],[3,10,"t","(3,2,2,1,1,1)",315,180,"lower bound",180,282],[3,10,"t","(3,2,1,1,1,1,1)",160,117,"lower bound",117,150],[3,10,"t","(3,1,1,1,1,1,1,1)",36,31,"lower bound",31,34],[3,10,"t","(2,2,2,2,2)",42,18,"lower bound",18,35],[3,10,"t","(2,2,2,2,1,1)",90,53,"lower bound",53,81],[3,10,"t","(2,2,2,1,1,1,1)",75,54,"lower bound",54,69],[3,10,"t","(2,2,1,1,1,1,1,1)",35,30,"lower bound",30,34],[3,10,"t","(2,1,1,1,1,1,1,1,1)",9,9,"exact",9,9],[3,10,"t","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,10,"t","(9,1)",9,0,"exact",0,0],[3,10,"t","(8,2)",35,15,"upper bound",0,15],[3,10,"t","(8,1,1)",36,15,"upper bound",0,15],[3,11,"t","(11)",1,0,"exact",0,0],[3,11,"t","(8,3)",110,10,"lower bound",10,71],[3,11,"t","(8,2,1)",231,20,"lower bound",20,155],[3,11,"t","(8,1,1,1)",120,10,"lower bound",10,86],[3,11,"t","(7,4)",165,28,"lower bound",28,119],[3,11,"t","(7,3,1)",550,104,"lower bound",104,420],[3,11,"t","(7,2,2)",385,82,"lower bound",82,300],[3,11,"t","(7,2,1,1)",594,142,"lower bound",142,479],[3,11,"t","(7,1,1,1,1)",210,69,"lower bound",69,177],[3,11,"t","(6,5)",132,28,"lower bound",28,98],[3,11,"t","(6,4,1)",693,183,"lower bound",183,554],[3,11,"t","(6,3,2)",990,290,"lower bound",290,812],[3,11,"t","(6,3,1,1)",1232,413,"lower bound",413,1045],[3,11,"t","(6,2,2,1)",1100,402,"lower bound",402,943],[3,11,"t","(6,2,1,1,1)",924,415,"lower bound",415,823],[3,11,"t","(6,1,1,1,1,1)",252,155,"lower bound",155,234],[3,11,"t","(5,5,1)",330,99,"lower bound",99,268],[3,11,"t","(5,4,2)",990,347,"lower bound",347,830],[3,11,"t","(5,4,1,1)",1155,459,"lower bound",459,998],[3,11,"t","(5,3,3)",660,251,"lower bound",251,559],[3,11,"t","(5,3,2,1)",2310,1006,"lower bound",1006,2026],[3,11,"t","(5,3,1,1,1)",1540,795,"lower bound",795,1397],[3,11,"t","(5,2,2,2)",825,399,"lower bound",399,735],[3,11,"t","(5,2,2,1,1)",1540,829,"lower bound",829,1403],[3,11,"t","(5,2,1,1,1,1)",924,611,"lower bound",611,871],[3,11,"t","(5,1,1,1,1,1,1)",210,168,"lower bound",168,203],[3,11,"t","(4,4,3)",462,191,"lower bound",191,395],[3,11,"t","(4,4,2,1)",1320,626,"lower bound",626,1168],[3,11,"t","(4,4,1,1,1)",825,456,"lower bound",456,753],[3,11,"t","(4,3,3,1)",1188,597,"lower bound",597,1057],[3,11,"t","(4,3,2,2)",1320,704,"lower bound",704,1189],[3,11,"t","(4,3,2,1,1)",2310,1332,"lower bound",1332,2122],[3,11,"t","(4,3,1,1,1,1)",1100,759,"lower bound",759,1042],[3,11,"t","(4,2,2,2,1)",1155,705,"lower bound",705,1068],[3,11,"t","(4,2,2,1,1,1)",1232,862,"lower bound",862,1167],[3,11,"t","(4,2,1,1,1,1,1)",594,482,"lower bound",482,577],[3,11,"t","(4,1,1,1,1,1,1,1)",120,108,"lower bound",108,118],[3,11,"t","(3,3,3,2)",462,270,"lower bound",270,418],[3,11,"t","(3,3,3,1,1)",660,407,"lower bound",407,608],[3,11,"t","(3,3,2,2,1)",990,621,"lower bound",621,918],[3,11,"t","(3,3,2,1,1,1)",990,711,"lower bound",711,939],[3,11,"t","(3,3,1,1,1,1,1)",385,320,"lower bound",320,374],[3,11,"t","(3,2,2,2,2)",330,222,"lower bound",222,308],[3,11,"t","(3,2,2,2,1,1)",693,509,"lower bound",509,658],[3,11,"t","(3,2,2,1,1,1,1)",550,453,"lower bound",453,533],[3,11,"t","(3,2,1,1,1,1,1,1)",231,209,"lower bound",209,228],[3,11,"t","(3,1,1,1,1,1,1,1,1)",45,45,"exact",45,45],[3,11,"t","(2,2,2,2,2,1)",132,98,"lower bound",98,125],[3,11,"t","(2,2,2,2,1,1,1)",165,136,"lower bound",136,159],[3,11,"t","(2,2,2,1,1,1,1,1)",110,98,"lower bound",98,108],[3,11,"t","(2,2,1,1,1,1,1,1,1)",44,44,"exact",44,44],[3,11,"t","(2,1,1,1,1,1,1,1,1,1)",10,10,"exact",10,10],[3,11,"t","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,11,"t","(10,1)",10,0,"exact",0,0],[3,11,"t","(9,2)",44,21,"upper bound",0,21],[3,11,"t","(9,1,1)",45,21,"upper bound",0,21],[3,12,"t","(12)",1,0,"exact",0,0],[3,12,"t","(4,1,1,1,1,1,1,1,1)",165,165,"exact",165,165],[3,12,"t","(3,2,1,1,1,1,1,1,1)",320,320,"exact",320,320],[3,12,"t","(3,1,1,1,1,1,1,1,1,1)",55,55,"exact",55,55],[3,12,"t","(2,2,2,1,1,1,1,1,1)",154,154,"exact",154,154],[3,12,"t","(2,2,1,1,1,1,1,1,1,1)",54,54,"exact",54,54],[3,12,"t","(2,1,1,1,1,1,1,1,1,1,1)",11,11,"exact",11,11],[3,12,"t","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,12,"t","(11,1)",11,0,"exact",0,0],[3,12,"t","(10,2)",54,28,"upper bound",0,28],[3,12,"t","(10,1,1)",55,28,"upper bound",0,28],[3,12,"t","(2,2,2,2,2,2)",132,114,"lower bound",114,128],[3,12,"t","(6,6)",132,47,"lower bound",47,108],[3,12,"t","(9,3)",154,20,"lower bound",20,108],[3,12,"t","(9,1,1,1)",165,20,"lower bound",20,126],[3,12,"t","(2,2,2,2,1,1,1,1)",275,259,"lower bound",259,273],[3,12,"t","(8,4)",275,68,"lower bound",68,215],[3,12,"t","(2,2,2,2,2,1,1)",297,270,"lower bound",270,292],[3,12,"t","(7,5)",297,97,"lower bound",97,242],[3,12,"t","(9,2,1)",320,40,"lower bound",40,232],[3,12,"t","(5,1,1,1,1,1,1,1)",330,307,"lower bound",307,327],[3,12,"t","(8,1,1,1,1)",330,133,"lower bound",133,291],[3,12,"t","(3,3,3,3)",462,329,"lower bound",329,439],[3,12,"t","(4,4,4)",462,274,"lower bound",274,422],[3,12,"t","(6,1,1,1,1,1,1)",462,379,"lower bound",379,454],[3,12,"t","(7,1,1,1,1,1)",462,295,"lower bound",295,441],[3,12,"t","(3,3,1,1,1,1,1,1)",616,584,"lower bound",584,612],[3,12,"t","(8,2,2)",616,182,"lower bound",182,512],[3,12,"t","(3,2,2,1,1,1,1,1)",891,844,"lower bound",844,886],[3,12,"t","(8,3,1)",891,242,"lower bound",242,731],[3,12,"t","(4,2,1,1,1,1,1,1)",945,894,"lower bound",894,941],[3,12,"t","(8,2,1,1)",945,302,"lower bound",302,808],[3,12,"t","(3,2,2,2,2,1)",1155,966,"lower bound",966,1130],[3,12,"t","(6,5,1)",1155,503,"lower bound",503,1008],[3,12,"t","(3,3,2,2,2)",1320,1008,"lower bound",1008,1279],[3,12,"t","(5,5,2)",1320,528,"lower bound",528,1190],[3,12,"t","(3,2,2,2,1,1,1)",1408,1200,"lower bound",1200,1388],[3,12,"t","(7,4,1)",1408,506,"lower bound",506,1208],[3,12,"t","(4,2,2,2,2)",1485,1042,"lower bound",1042,1434],[3,12,"t","(5,5,1,1)",1485,687,"lower bound",687,1362],[3,12,"t","(3,3,3,1,1,1)",1650,1359,"lower bound",1359,1609],[3,12,"t","(6,3,3)",1650,642,"lower bound",642,1487],[3,12,"t","(5,2,1,1,1,1,1)",1728,1477,"lower bound",1477,1704],[3,12,"t","(7,2,1,1,1)",1728,860,"lower bound",860,1602],[3,12,"t","(3,3,2,1,1,1,1)",1925,1738,"lower bound",1738,1900],[3,12,"t","(4,4,1,1,1,1)",1925,1520,"lower bound",1520,1871],[3,12,"t","(6,2,2,2)",1925,1008,"lower bound",1008,1792],[3,12,"t","(7,3,2)",1925,697,"lower bound",697,1684],[3,12,"t","(4,3,1,1,1,1,1)",2079,1853,"lower bound",1853,2052],[3,12,"t","(7,2,2,1)",2079,832,"lower bound",832,1878],[3,12,"t","(6,2,1,1,1,1)",2100,1537,"lower bound",1537,2029],[3,12,"t","(3,3,3,2,1)",2112,1599,"lower bound",1599,2034],[3,12,"t","(5,4,3)",2112,1152,"lower bound",1152,1922],[3,12,"t","(4,2,2,1,1,1,1)",2376,2116,"lower bound",2116,2343],[3,12,"t","(7,3,1,1)",2376,779,"lower bound",779,2127],[3,12,"t","(4,4,2,2)",2640,1330,"lower bound",1330,2493],[3,12,"t","(3,3,2,2,1,1)",2673,1841,"lower bound",1841,2607],[3,12,"t","(6,4,2)",2673,985,"lower bound",985,2387],[3,12,"t","(4,3,3,2)",2970,2007,"lower bound",2007,2815],[3,12,"t","(4,4,3,1)",2970,1882,"lower bound",1882,2787],[3,12,"t","(4,2,2,2,1,1)",3080,2076,"lower bound",2076,3007],[3,12,"t","(6,4,1,1)",3080,1328,"lower bound",1328,2810],[3,12,"t","(5,2,2,2,1)",3520,2220,"lower bound",2220,3374],[3,12,"t","(5,4,1,1,1)",3520,2255,"lower bound",2255,3340],[3,12,"t","(5,3,1,1,1,1)",3564,2165,"lower bound",2165,3464],[3,12,"t","(6,2,2,1,1)",3564,1646,"lower bound",1646,3374],[3,12,"t","(5,2,2,1,1,1)",3696,2302,"lower bound",2302,3592],[3,12,"t","(6,3,1,1,1)",3696,1623,"lower bound",1623,3484],[3,12,"t","(4,3,3,1,1)",4158,2336,"lower bound",2336,3981],[3,12,"t","(5,3,3,1)",4158,1854,"lower bound",1854,3883],[3,12,"t","(4,4,2,1,1)",4455,2414,"lower bound",2414,4262],[3,12,"t","(5,3,2,2)",4455,2109,"lower bound",2109,4198],[3,12,"t","(4,3,2,1,1,1)",5632,3664,"lower bound",3664,5486],[3,12,"t","(6,3,2,1)",5632,2111,"lower bound",2111,5192],[3,12,"t","(4,3,2,2,1)",5775,3362,"lower bound",3362,5555],[3,12,"t","(5,4,2,1)",5775,2438,"lower bound",2438,5371],[3,12,"t","(5,3,2,1,1)",7700,3962,"lower bound",3962,7341],[3,13,"t","(13)",1,0,"exact",0,0],[3,13,"t","(5,1,1,1,1,1,1,1,1)",495,495,"exact",495,495],[3,13,"t","(4,2,1,1,1,1,1,1,1)",1430,1430,"exact",1430,1430],[3,13,"t","(4,1,1,1,1,1,1,1,1,1)",220,220,"exact",220,220],[3,13,"t","(3,3,1,1,1,1,1,1,1)",936,936,"exact",936,936],[3,13,"t","(3,2,2,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,13,"t","(3,2,1,1,1,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"t","(3,1,1,1,1,1,1,1,1,1,1)",66,66,"exact",66,66],[3,13,"t","(2,2,2,2,1,1,1,1,1)",429,429,"exact",429,429],[3,13,"t","(2,2,2,1,1,1,1,1,1,1)",208,208,"exact",208,208],[3,13,"t","(2,2,1,1,1,1,1,1,1,1,1)",65,65,"exact",65,65],[3,13,"t","(2,1,1,1,1,1,1,1,1,1,1,1)",12,12,"exact",12,12],[3,13,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,13,"t","(12,1)",12,0,"exact",0,0],[3,13,"t","(11,2)",65,36,"upper bound",0,36],[3,13,"t","(11,1,1)",66,36,"upper bound",0,36],[3,13,"t","(10,3)",208,35,"lower bound",35,155],[3,13,"t","(10,1,1,1)",220,35,"lower bound",35,176],[3,13,"t","(2,2,2,2,2,2,1)",429,410,"lower bound",410,426],[3,13,"t","(7,6)",429,204,"lower bound",204,376],[3,13,"t","(9,4)",429,88,"lower bound",88,356],[3,13,"t","(10,2,1)",429,69,"lower bound",69,329],[3,13,"t","(9,1,1,1,1)",495,184,"lower bound",184,451],[3,13,"t","(2,2,2,2,2,1,1,1)",572,557,"lower bound",557,570],[3,13,"t","(8,5)",572,235,"lower bound",235,494],[3,13,"t","(6,1,1,1,1,1,1,1)",792,741,"lower bound",741,789],[3,13,"t","(8,1,1,1,1,1)",792,553,"lower bound",553,767],[3,13,"t","(7,1,1,1,1,1,1)",924,789,"lower bound",789,914],[3,13,"t","(9,2,2)",936,238,"lower bound",238,815],[3,13,"t","(3,2,2,2,2,2)",1287,1080,"lower bound",1080,1276],[3,13,"t","(6,6,1)",1287,550,"lower bound",550,1183],[3,13,"t","(9,3,1)",1365,305,"lower bound",305,1174],[3,13,"t","(9,2,1,1)",1430,409,"lower bound",409,1270],[3,13,"t","(3,2,2,2,1,1,1,1)",2574,2303,"lower bound",2303,2568],[3,13,"t","(3,3,3,3,1)",2574,1928,"lower bound",1928,2529],[3,13,"t","(5,4,4)",2574,1426,"lower bound",1426,2447],[3,13,"t","(8,4,1)",2574,853,"lower bound",853,2311],[3,13,"t","(3,2,2,2,2,1,1)",2860,2436,"lower bound",2436,2843],[3,13,"t","(7,5,1)",2860,1340,"lower bound",1340,2613],[3,13,"t","(5,2,1,1,1,1,1,1)",3003,2678,"lower bound",2678,2997],[3,13,"t","(8,2,1,1,1)",3003,1295,"lower bound",1295,2852],[3,13,"t","(3,3,2,1,1,1,1,1)",3432,3350,"lower bound",3350,3425],[3,13,"t","(3,3,3,2,2)",3432,3095,"lower bound",3095,3380],[3,13,"t","(4,3,3,3)",3432,2873,"lower bound",2873,3346],[3,13,"t","(4,4,4,1)",3432,2759,"lower bound",2759,3319],[3,13,"t","(5,5,3)",3432,2433,"lower bound",2433,3252],[3,13,"t","(8,3,2)",3432,1755,"lower bound",1755,3127],[3,13,"t","(3,3,3,1,1,1,1)",3575,3399,"lower bound",3399,3553],[3,13,"t","(7,3,3)",3575,2235,"lower bound",2235,3341],[3,13,"t","(4,3,1,1,1,1,1,1)",3640,3545,"lower bound",3545,3633],[3,13,"t","(8,2,2,1)",3640,2091,"lower bound",2091,3394],[3,13,"t","(4,4,1,1,1,1,1)",4004,3764,"lower bound",3764,3980],[3,13,"t","(7,2,2,2)",4004,2836,"lower bound",2836,3832],[3,13,"t","(4,2,2,1,1,1,1,1)",4212,4096,"lower bound",4096,4203],[3,13,"t","(8,3,1,1)",4212,2305,"lower bound",2305,3903],[3,13,"t","(6,2,1,1,1,1,1)",4290,3944,"lower bound",3944,4259],[3,13,"t","(7,2,1,1,1,1)",4290,3506,"lower bound",3506,4203],[3,13,"t","(5,2,2,2,2)",5005,4096,"lower bound",4096,4921],[3,13,"t","(5,5,1,1,1)",5005,3991,"lower bound",3991,4863],[3,13,"t","(3,3,2,2,2,1)",5148,4096,"lower bound",4096,5097],[3,13,"t","(6,5,2)",5148,3328,"lower bound",3328,4823],[3,13,"t","(4,2,2,2,2,1)",5720,4096,"lower bound",4096,5664],[3,13,"t","(6,5,1,1)",5720,3895,"lower bound",3895,5426],[3,13,"t","(3,3,2,2,1,1,1)",6006,4779,"lower bound",4779,5971],[3,13,"t","(7,4,2)",6006,3513,"lower bound",3513,5581],[3,13,"t","(3,3,3,2,1,1)",6435,4799,"lower bound",4799,6363],[3,13,"t","(6,4,3)",6435,4096,"lower bound",4096,6074],[3,13,"t","(4,2,2,2,1,1,1)",6864,5392,"lower bound",5392,6824],[3,13,"t","(7,4,1,1)",6864,4059,"lower bound",4059,6467],[3,13,"t","(5,3,1,1,1,1,1)",7371,5495,"lower bound",5495,7325],[3,13,"t","(7,2,2,1,1)",7371,4096,"lower bound",4096,7124],[3,13,"t","(5,2,2,1,1,1,1)",7800,5895,"lower bound",5895,7751],[3,13,"t","(7,3,1,1,1)",7800,4096,"lower bound",4096,7519],[3,13,"t","(4,3,2,2,2)",8580,5412,"lower bound",5412,8447],[3,13,"t","(4,4,3,2)",8580,5219,"lower bound",5219,8344],[3,13,"t","(5,5,2,1)",8580,4096,"lower bound",4096,8239],[3,13,"t","(5,4,1,1,1,1)",9009,5940,"lower bound",5940,8879],[3,13,"t","(6,2,2,2,1)",9009,4874,"lower bound",4874,8797],[3,13,"t","(6,2,2,1,1,1)",9360,5485,"lower bound",5485,9217],[3,13,"t","(6,3,1,1,1,1)",9360,5325,"lower bound",5325,9211],[3,13,"t","(5,2,2,2,1,1)",10296,6598,"lower bound",6598,10172],[3,13,"t","(6,4,1,1,1)",10296,5206,"lower bound",5206,9983],[3,13,"t","(4,3,3,1,1,1)",11440,7359,"lower bound",7359,11298],[3,13,"t","(6,3,3,1)",11440,4607,"lower bound",4607,10985],[3,13,"t","(4,4,3,1,1)",11583,6632,"lower bound",6632,11330],[3,13,"t","(5,3,3,2)",11583,5970,"lower bound",5970,11245],[3,13,"t","(4,3,2,1,1,1,1)",12012,9371,"lower bound",9371,11941],[3,13,"t","(4,4,2,1,1,1)",12012,7598,"lower bound",7598,11860],[3,13,"t","(6,3,2,2)",12012,5228,"lower bound",5228,11596],[3,13,"t","(7,3,2,1)",12012,4419,"lower bound",4419,11406],[3,13,"t","(4,4,2,2,1)",12870,7106,"lower bound",7106,12622],[3,13,"t","(5,4,2,2)",12870,5877,"lower bound",5877,12472],[3,13,"t","(4,3,3,2,1)",15015,9304,"lower bound",9304,14736],[3,13,"t","(5,4,3,1)",15015,7326,"lower bound",7326,14477],[3,13,"t","(5,3,3,1,1)",16016,8152,"lower bound",8152,15647],[3,13,"t","(4,3,2,2,1,1)",17160,10943,"lower bound",10943,16966],[3,13,"t","(6,4,2,1)",17160,6862,"lower bound",6862,16426],[3,13,"t","(5,3,2,1,1,1)",20592,12093,"lower bound",12093,20592],[3,13,"t","(5,3,2,2,1)",21450,11653,"lower bound",11653,21450],[3,13,"t","(5,4,2,1,1)",21450,11069,"lower bound",11069,21450],[3,13,"t","(6,3,2,1,1)",20592,9342,"lower bound",9342,20592],[3,14,"t","(14)",1,0,"exact",0,0],[3,14,"t","(6,1,1,1,1,1,1,1,1)",1287,1287,"exact",1287,1287],[3,14,"t","(5,2,1,1,1,1,1,1,1)",4928,4928,"exact",4928,4928],[3,14,"t","(5,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,14,"t","(4,3,1,1,1,1,1,1,1)",6006,6006,"exact",6006,6006],[3,14,"t","(4,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,14,"t","(4,2,1,1,1,1,1,1,1,1)",2079,2079,"exact",2079,2079],[3,14,"t","(4,1,1,1,1,1,1,1,1,1,1)",286,286,"exact",286,286],[3,14,"t","(3,3,2,1,1,1,1,1,1)",5733,5733,"exact",5733,5733],[3,14,"t","(3,3,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,14,"t","(3,2,2,2,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,14,"t","(3,2,2,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,14,"t","(3,2,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,14,"t","(3,1,1,1,1,1,1,1,1,1,1,1)",78,78,"exact",78,78],[3,14,"t","(2,2,2,2,2,1,1,1,1)",1001,1001,"exact",1001,1001],[3,14,"t","(2,2,2,2,1,1,1,1,1,1)",637,637,"exact",637,637],[3,14,"t","(2,2,2,1,1,1,1,1,1,1,1)",273,273,"exact",273,273],[3,14,"t","(2,2,1,1,1,1,1,1,1,1,1,1)",77,77,"exact",77,77],[3,14,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[3,14,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,14,"t","(13,1)",13,0,"exact",0,0],[3,14,"t","(12,2)",77,45,"upper bound",0,45],[3,14,"t","(12,1,1)",78,45,"upper bound",0,45],[3,14,"t","(11,3)",273,56,"lower bound",56,213],[3,14,"t","(11,1,1,1)",286,56,"lower bound",56,237],[3,14,"t","(2,2,2,2,2,2,2)",429,420,"lower bound",420,427],[3,14,"t","(7,7)",429,262,"lower bound",262,394],[3,14,"t","(11,2,1)",560,112,"lower bound",112,448],[3,14,"t","(10,4)",637,245,"lower bound",245,550],[3,14,"t","(10,1,1,1,1)",715,362,"lower bound",362,665],[3,14,"t","(2,2,2,2,2,2,1,1)",1001,990,"lower bound",990,1000],[3,14,"t","(8,6)",1001,578,"lower bound",578,914],[3,14,"t","(9,5)",1001,507,"lower bound",507,900],[3,14,"t","(9,1,1,1,1,1)",1287,1001,"lower bound",1001,1259],[3,14,"t","(10,2,2)",1365,598,"lower bound",598,1225],[3,14,"t","(7,1,1,1,1,1,1,1)",1716,1667,"lower bound",1667,1712],[3,14,"t","(8,1,1,1,1,1,1)",1716,1582,"lower bound",1582,1705],[3,14,"t","(10,3,1)",2002,834,"lower bound",834,1781],[3,14,"t","(10,2,1,1)",2079,958,"lower bound",958,1897],[3,14,"t","(9,4,1)",4368,2357,"lower bound",2357,4042],[3,14,"t","(3,2,2,2,2,2,1)",4576,4096,"lower bound",4096,4566],[3,14,"t","(7,6,1)",4576,3138,"lower bound",3138,4334],[3,14,"t","(9,2,1,1,1)",4928,2715,"lower bound",2715,4752],[3,14,"t","(9,3,2)",5733,3030,"lower bound",3030,5365],[3,14,"t","(3,2,2,2,2,1,1,1)",6006,5296,"lower bound",5296,6000],[3,14,"t","(3,3,3,3,2)",6006,5023,"lower bound",5023,5965],[3,14,"t","(5,5,4)",6006,4096,"lower bound",4096,5842],[3,14,"t","(8,5,1)",6006,3742,"lower bound",3742,5651],[3,14,"t","(9,2,2,1)",6006,3012,"lower bound",3012,5716],[3,14,"t","(3,3,2,2,2,2)",6435,5176,"lower bound",5176,6414],[3,14,"t","(6,6,2)",6435,4096,"lower bound",4096,6191],[3,14,"t","(3,3,3,1,1,1,1,1)",7007,6749,"lower bound",6749,7000],[3,14,"t","(4,2,2,2,2,2)",7007,5176,"lower bound",5176,6982],[3,14,"t","(6,6,1,1)",7007,4445,"lower bound",4445,6798],[3,14,"t","(8,3,3)",7007,4096,"lower bound",4096,6702],[3,14,"t","(9,3,1,1)",7007,3019,"lower bound",3019,6636],[3,14,"t","(4,4,1,1,1,1,1,1)",7644,7309,"lower bound",7309,7639],[3,14,"t","(8,2,2,2)",7644,4927,"lower bound",4927,7428],[3,14,"t","(6,2,1,1,1,1,1,1)",8085,7363,"lower bound",7363,8078],[3,14,"t","(8,2,1,1,1,1)",8085,5354,"lower bound",5354,7980],[3,14,"t","(3,3,3,3,1,1)",9009,6727,"lower bound",6727,8967],[3,14,"t","(6,4,4)",9009,5522,"lower bound",5522,8742],[3,14,"t","(7,2,1,1,1,1,1)",9504,8239,"lower bound",8239,9466],[3,14,"t","(3,3,2,2,1,1,1,1)",12012,10432,"lower bound",10432,12003],[3,14,"t","(4,4,3,3)",12012,8092,"lower bound",8092,11865],[3,14,"t","(4,4,4,2)",12012,7978,"lower bound",7978,11844],[3,14,"t","(8,4,2)",12012,6121,"lower bound",6121,11436],[3,14,"t","(4,2,2,2,1,1,1,1)",13650,11791,"lower bound",11791,13638],[3,14,"t","(8,4,1,1)",13650,7217,"lower bound",7217,13125],[3,14,"t","(3,3,2,2,2,1,1)",14014,11311,"lower bound",11311,13981],[3,14,"t","(5,3,1,1,1,1,1,1)",14014,11718,"lower bound",11718,14002],[3,14,"t","(5,5,1,1,1,1)",14014,9931,"lower bound",9931,13914],[3,14,"t","(6,2,2,2,2)",14014,8970,"lower bound",8970,13888],[3,14,"t","(7,5,2)",14014,8181,"lower bound",8181,13450],[3,14,"t","(8,2,2,1,1)",14014,7482,"lower bound",7482,13714],[3,14,"t","(3,3,3,2,2,1)",15015,11990,"lower bound",11990,14949],[3,14,"t","(4,4,4,1,1)",15015,9391,"lower bound",9391,14855],[3,14,"t","(5,2,2,1,1,1,1,1)",15015,12669,"lower bound",12669,15003],[3,14,"t","(5,3,3,3)",15015,8843,"lower bound",8843,14815],[3,14,"t","(6,5,3)",15015,9857,"lower bound",9857,14542],[3,14,"t","(8,3,1,1,1)",15015,7696,"lower bound",7696,14663],[3,14,"t","(4,2,2,2,2,1,1)",15444,11924,"lower bound",11924,15410],[3,14,"t","(7,5,1,1)",15444,9294,"lower bound",9294,14940],[3,14,"t","(3,3,3,2,1,1,1)",16016,12977,"lower bound",12977,15976],[3,14,"t","(7,4,3)",16016,9844,"lower bound",9844,15450],[3,14,"t","(4,3,2,1,1,1,1,1)",23296,20362,"lower bound",20362,23296],[3,14,"t","(4,3,2,2,1,1,1)",42042,30485,"lower bound",30485,42042],[3,14,"t","(4,3,2,2,2,1)",36608,24547,"lower bound",24547,36608],[3,14,"t","(4,3,3,1,1,1,1)",27027,20129,"lower bound",20129,27027],[3,14,"t","(4,3,3,2,1,1)",50050,32405,"lower bound",32405,50050],[3,14,"t","(4,3,3,2,2)",27027,17811,"lower bound",17811,27027],[3,14,"t","(4,3,3,3,1)",21021,14105,"lower bound",14105,21021],[3,14,"t","(4,4,2,1,1,1,1)",28028,20733,"lower bound",20733,28028],[3,14,"t","(4,4,2,2,1,1)",42042,25647,"lower bound",25647,42042],[3,14,"t","(4,4,2,2,2)",21450,12518,"lower bound",12518,21450],[3,14,"t","(4,4,3,1,1,1)",35035,21589,"lower bound",21589,35035],[3,14,"t","(4,4,3,2,1)",48048,28261,"lower bound",28261,48048],[3,14,"t","(5,2,2,2,1,1,1)",24960,17885,"lower bound",17885,24960],[3,14,"t","(5,2,2,2,2,1)",21021,14790,"lower bound",14790,21021],[3,14,"t","(5,3,2,1,1,1,1)",47775,32854,"lower bound",32854,47775],[3,14,"t","(5,3,2,2,1,1)",69498,41287,"lower bound",41287,69498],[3,14,"t","(5,3,2,2,2)",35035,21161,"lower bound",21161,35035],[3,14,"t","(5,3,3,1,1,1)",48048,27604,"lower bound",27604,48048],[3,14,"t","(5,3,3,2,1)",64064,35079,"lower bound",35079,64064],[3,14,"t","(5,4,1,1,1,1,1)",20384,15199,"lower bound",15199,20384],[3,14,"t","(5,4,2,1,1,1)",63063,36700,"lower bound",36700,63063],[3,14,"t","(5,4,2,2,1)",68640,35705,"lower bound",35705,68640],[3,14,"t","(5,4,3,1,1)",64064,33179,"lower bound",33179,64064],[3,14,"t","(5,4,3,2)",48048,24392,"lower bound",24392,48048],[3,14,"t","(5,4,4,1)",21021,11511,"lower bound",11511,21021],[3,14,"t","(5,5,2,1,1)",35035,19156,"lower bound",19156,35035],[3,14,"t","(5,5,2,2)",21450,9973,"lower bound",9973,21450],[3,14,"t","(5,5,3,1)",27027,13855,"lower bound",13855,27027],[3,14,"t","(6,2,2,1,1,1,1)",21450,15324,"lower bound",15324,21450],[3,14,"t","(6,2,2,2,1,1)",28665,16957,"lower bound",16957,28665],[3,14,"t","(6,3,1,1,1,1,1)",21021,14764,"lower bound",14764,21021],[3,14,"t","(6,3,2,1,1,1)",59904,32245,"lower bound",32245,59904],[3,14,"t","(6,3,2,2,1)",63063,31097,"lower bound",31097,63063],[3,14,"t","(6,3,3,1,1)",48048,22101,"lower bound",22101,48048],[3,14,"t","(6,3,3,2)",35035,15805,"lower bound",15805,35035],[3,14,"t","(6,4,1,1,1,1)",28665,16471,"lower bound",16471,28665],[3,14,"t","(6,4,2,1,1)",69498,32479,"lower bound",32479,69498],[3,14,"t","(6,4,2,2)",42042,17967,"lower bound",17967,42042],[3,14,"t","(6,4,3,1)",50050,22891,"lower bound",22891,50050],[3,14,"t","(6,5,1,1,1)",21021,13092,"lower bound",13092,21021],[3,14,"t","(6,5,2,1)",36608,18181,"lower bound",18181,36608],[3,14,"t","(7,2,2,1,1,1)",21021,13087,"lower bound",13087,21021],[3,14,"t","(7,2,2,2,1)",20384,11806,"lower bound",11806,20384],[3,14,"t","(7,3,1,1,1,1)",21450,12927,"lower bound",12927,21450],[3,14,"t","(7,3,2,1,1)",47775,21953,"lower bound",21953,47775],[3,14,"t","(7,3,2,2)",28028,12483,"lower bound",12483,28028],[3,14,"t","(7,3,3,1)",27027,11261,"lower bound",11261,27027],[3,14,"t","(7,4,1,1,1)",24960,13361,"lower bound",13361,24960],[3,14,"t","(7,4,2,1)",42042,18853,"lower bound",18853,42042],[3,14,"t","(8,3,2,1)",23296,10570,"lower bound",10570,23296],[3,15,"t","(15)",1,0,"exact",0,0],[3,15,"t","(7,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,15,"t","(6,2,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"t","(5,3,1,1,1,1,1,1,1)",24948,24948,"exact",24948,24948],[3,15,"t","(5,2,2,1,1,1,1,1,1)",26950,26950,"exact",26950,26950],[3,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,7722,"exact",7722,7722],[3,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,1001,"exact",1001,1001],[3,15,"t","(4,4,1,1,1,1,1,1,1)",13650,13650,"exact",13650,13650],[3,15,"t","(4,3,2,1,1,1,1,1,1)",42042,42042,"exact",42042,42042],[3,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,9450,"exact",9450,9450],[3,15,"t","(4,2,2,2,1,1,1,1,1)",25025,25025,"exact",25025,25025],[3,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,11088,"exact",11088,11088],[3,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,2925,"exact",2925,2925],[3,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,364,"exact",364,364],[3,15,"t","(3,3,3,1,1,1,1,1,1)",12740,12740,"exact",12740,12740],[3,15,"t","(3,3,2,2,1,1,1,1,1)",22113,22113,"exact",22113,22113],[3,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,9100,"exact",9100,9100],[3,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,1925,"exact",1925,1925],[3,15,"t","(3,2,2,2,2,1,1,1,1)",11375,11375,"exact",11375,11375],[3,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,7007,"exact",7007,7007],[3,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,2835,"exact",2835,2835],[3,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,715,"exact",715,715],[3,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,91,"exact",91,91],[3,15,"t","(2,2,2,2,2,2,1,1,1)",2002,2002,"exact",2002,2002],[3,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,1638,"exact",1638,1638],[3,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,910,"exact",910,910],[3,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,350,"exact",350,350],[3,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,90,"exact",90,90],[3,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[3,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,15,"t","(14,1)",14,0,"exact",0,0],[3,15,"t","(13,2)",90,55,"upper bound",0,55],[3,15,"t","(13,1,1)",91,55,"upper bound",0,55],[3,15,"t","(12,3)",350,84,"lower bound",84,283],[3,15,"t","(12,1,1,1)",364,84,"lower bound",84,310],[3,15,"t","(12,2,1)",715,168,"lower bound",168,591],[3,15,"t","(11,4)",910,407,"lower bound",407,810],[3,15,"t","(11,1,1,1,1)",1001,576,"lower bound",576,946],[3,15,"t","(2,2,2,2,2,2,2,1)",1430,1423,"lower bound",1423,1429],[3,15,"t","(8,7)",1430,998,"lower bound",998,1351],[3,15,"t","(10,5)",1638,951,"lower bound",951,1513],[3,15,"t","(11,2,2)",1925,956,"lower bound",956,1768],[3,15,"t","(9,6)",2002,1319,"lower bound",1319,1880],[3,15,"t","(10,1,1,1,1,1)",2002,1658,"lower bound",1658,1970],[3,15,"t","(11,3,1)",2835,1349,"lower bound",1349,2583],[3,15,"t","(11,2,1,1)",2925,1515,"lower bound",1515,2720],[3,15,"t","(9,1,1,1,1,1,1)",3003,2831,"lower bound",2831,2990],[3,15,"t","(8,1,1,1,1,1,1,1)",3432,3368,"lower bound",3368,3428],[3,15,"t","(3,2,2,2,2,2,2)",5005,4516,"lower bound",4516,5001],[3,15,"t","(7,7,1)",5005,3400,"lower bound",3400,4842],[3,15,"t","(3,3,3,3,3)",6006,5023,"lower bound",5023,5989],[3,15,"t","(5,5,5)",6006,4096,"lower bound",4096,5919],[3,15,"t","(10,4,1)",7007,3515,"lower bound",3515,6618],[3,15,"t","(10,2,1,1,1)",7722,4035,"lower bound",4035,7521],[3,15,"t","(10,3,2)",9100,4462,"lower bound",4462,8668],[3,15,"t","(10,2,2,1)",9450,4568,"lower bound",4568,9115],[3,15,"t","(10,3,1,1)",11088,4811,"lower bound",4811,10657],[3,15,"t","(9,5,1)",11375,6606,"lower bound",6606,10907],[3,15,"t","(8,6,1)",11583,7458,"lower bound",7458,11179],[3,15,"t","(9,3,3)",12740,7126,"lower bound",7126,12360],[3,15,"t","(9,2,2,2)",13650,7939,"lower bound",7939,13395],[3,15,"t","(9,2,1,1,1,1)",14300,9070,"lower bound",9070,14179],[3,15,"t","(7,2,1,1,1,1,1,1)",19305,17269,"lower bound",17269,19296],[3,15,"t","(8,2,1,1,1,1,1)",19305,15175,"lower bound",15175,19260],[3,15,"t","(3,2,2,2,2,2,1,1)",11583,10382,"lower bound",10382,11583],[3,15,"t","(3,3,2,2,2,1,1,1)",32032,27039,"lower bound",27039,32032],[3,15,"t","(3,3,2,2,2,2,1)",25025,20583,"lower bound",20583,25025],[3,15,"t","(3,3,3,2,1,1,1,1)",35035,30158,"lower bound",30158,35035],[3,15,"t","(3,3,3,2,2,1,1)",45045,36278,"lower bound",36278,45045],[3,15,"t","(3,3,3,2,2,2)",21450,17166,"lower bound",17166,21450],[3,15,"t","(3,3,3,3,1,1,1)",25025,19704,"lower bound",19704,25025],[3,15,"t","(3,3,3,3,2,1)",30030,23740,"lower bound",23740,30030],[3,15,"t","(4,2,2,2,2,1,1,1)",35100,29011,"lower bound",29011,35100],[3,15,"t","(4,2,2,2,2,2,1)",27027,21196,"lower bound",21196,27027],[3,15,"t","(4,3,2,2,1,1,1,1)",91000,73070,"lower bound",73070,91000],[3,15,"t","(4,3,2,2,2,1,1)",108108,78267,"lower bound",78267,108108],[3,15,"t","(4,3,2,2,2,2)",50050,34899,"lower bound",34899,50050],[3,15,"t","(4,3,3,1,1,1,1,1)",57330,47240,"lower bound",47240,57330],[3,15,"t","(4,3,3,2,1,1,1)",135135,95996,"lower bound",95996,135135],[3,15,"t","(4,3,3,2,2,1)",128700,86753,"lower bound",86753,128700],[3,15,"t","(4,3,3,3,1,1)",80080,53237,"lower bound",53237,80080],[3,15,"t","(4,3,3,3,2)",54054,36939,"lower bound",36939,54054],[3,15,"t","(4,4,2,1,1,1,1,1)",58968,48404,"lower bound",48404,58968],[3,15,"t","(4,4,2,2,1,1,1)",112112,76865,"lower bound",76865,112112],[3,15,"t","(4,4,2,2,2,1)",100100,62712,"lower bound",62712,100100],[3,15,"t","(4,4,3,1,1,1,1)",90090,62451,"lower bound",62451,90090],[3,15,"t","(4,4,3,2,1,1)",175175,107902,"lower bound",107902,175175],[3,15,"t","(4,4,3,2,2)",96525,58590,"lower bound",58590,96525],[3,15,"t","(4,4,3,3,1)",81081,50458,"lower bound",50458,81081],[3,15,"t","(4,4,4,1,1,1)",50050,30980,"lower bound",30980,50050],[3,15,"t","(4,4,4,2,1)",75075,45630,"lower bound",45630,75075],[3,15,"t","(4,4,4,3)",24024,16070,"lower bound",16070,24024],[3,15,"t","(5,2,2,2,1,1,1,1)",53625,42345,"lower bound",42345,53625],[3,15,"t","(5,2,2,2,2,1,1)",61425,44599,"lower bound",44599,61425],[3,15,"t","(5,2,2,2,2,2)",28028,19966,"lower bound",19966,28028],[3,15,"t","(5,3,2,1,1,1,1,1)",100100,77603,"lower bound",77603,100100],[3,15,"t","(5,3,2,2,1,1,1)",184275,122511,"lower bound",122511,184275],[3,15,"t","(5,3,2,2,2,1)",162162,101785,"lower bound",101785,162162],[3,15,"t","(5,3,3,1,1,1,1)",122850,80587,"lower bound",80587,122850],[3,15,"t","(5,3,3,2,1,1)",231660,136375,"lower bound",136375,231660],[3,15,"t","(5,3,3,2,2)",126126,74051,"lower bound",74051,126126],[3,15,"t","(5,3,3,3,1)",100100,58027,"lower bound",58027,100100],[3,15,"t","(5,4,1,1,1,1,1,1)",42042,34226,"lower bound",34226,42042],[3,15,"t","(5,4,2,1,1,1,1)",159250,105486,"lower bound",105486,159250],[3,15,"t","(5,4,2,2,1,1)",243243,139339,"lower bound",139339,243243],[3,15,"t","(5,4,2,2,2)",125125,69384,"lower bound",69384,125125],[3,15,"t","(5,4,3,1,1,1)",210210,119072,"lower bound",119072,210210],[3,15,"t","(5,4,3,2,1)",292864,156616,"lower bound",156616,292864],[3,15,"t","(5,4,3,3)",75075,41327,"lower bound",41327,75075],[3,15,"t","(5,4,4,1,1)",100100,54081,"lower bound",54081,100100],[3,15,"t","(5,4,4,2)",81081,43881,"lower bound",43881,81081],[3,15,"t","(5,5,1,1,1,1,1)",34398,25130,"lower bound",25130,34398],[3,15,"t","(5,5,2,1,1,1)",112112,65787,"lower bound",65787,112112],[3,15,"t","(5,5,2,2,1)",125125,64834,"lower bound",64834,125125],[3,15,"t","(5,5,3,1,1)",126126,66190,"lower bound",66190,126126],[3,15,"t","(5,5,3,2)",96525,48220,"lower bound",48220,96525],[3,15,"t","(5,5,4,1)",54054,29462,"lower bound",29462,54054],[3,15,"t","(6,2,2,1,1,1,1,1)",44550,35356,"lower bound",35356,44550],[3,15,"t","(6,2,2,2,1,1,1)",75075,50166,"lower bound",50166,75075],[3,15,"t","(6,2,2,2,2,1)",63700,40717,"lower bound",40717,63700],[3,15,"t","(6,3,1,1,1,1,1,1)",43120,33845,"lower bound",33845,43120],[3,15,"t","(6,3,2,1,1,1,1)",150150,95187,"lower bound",95187,150150],[3,15,"t","(6,3,2,2,1,1)",221130,121586,"lower bound",121586,221130],[3,15,"t","(6,3,2,2,2)",112112,61228,"lower bound",61228,112112],[3,15,"t","(6,3,3,1,1,1)",156000,81950,"lower bound",81950,156000],[3,15,"t","(6,3,3,2,1)",210210,104082,"lower bound",104082,210210],[3,15,"t","(6,3,3,3)",50050,24648,"lower bound",24648,50050],[3,15,"t","(6,4,1,1,1,1,1)",70070,46434,"lower bound",46434,70070],[3,15,"t","(6,4,2,1,1,1)",221130,117895,"lower bound",117895,221130],[3,15,"t","(6,4,2,2,1)",243243,117248,"lower bound",117248,243243],[3,15,"t","(6,4,3,1,1)",231660,110650,"lower bound",110650,231660],[3,15,"t","(6,4,3,2)",175175,81055,"lower bound",81055,175175],[3,15,"t","(6,4,4,1)",80080,39924,"lower bound",39924,80080],[3,15,"t","(6,5,1,1,1,1)",63700,39494,"lower bound",39494,63700],[3,15,"t","(6,5,2,1,1)",162162,82908,"lower bound",82908,162162],[3,15,"t","(6,5,2,2)",100100,46121,"lower bound",46121,100100],[3,15,"t","(6,5,3,1)",128700,64784,"lower bound",64784,128700],[3,15,"t","(6,5,4)",30030,19475,"lower bound",19475,30030],[3,15,"t","(6,6,1,1,1)",28028,17537,"lower bound",17537,28028],[3,15,"t","(6,6,2,1)",50050,26722,"lower bound",26722,50050],[3,15,"t","(6,6,3)",21450,13953,"lower bound",13953,21450],[3,15,"t","(7,2,2,1,1,1,1)",51975,36650,"lower bound",36650,51975],[3,15,"t","(7,2,2,2,1,1)",70070,41850,"lower bound",41850,70070],[3,15,"t","(7,2,2,2,2)",34398,20776,"lower bound",20776,34398],[3,15,"t","(7,3,1,1,1,1,1)",51975,35930,"lower bound",35930,51975],[3,15,"t","(7,3,2,1,1,1)",150150,80212,"lower bound",80212,150150],[3,15,"t","(7,3,2,2,1)",159250,77339,"lower bound",77339,159250],[3,15,"t","(7,3,3,1,1)",122850,55315,"lower bound",55315,122850],[3,15,"t","(7,3,3,2)",90090,39549,"lower bound",39549,90090],[3,15,"t","(7,4,1,1,1,1)",75075,42759,"lower bound",42759,75075],[3,15,"t","(7,4,2,1,1)",184275,86646,"lower bound",86646,184275],[3,15,"t","(7,4,2,2)",112112,49303,"lower bound",49303,112112],[3,15,"t","(7,4,3,1)",135135,62849,"lower bound",62849,135135],[3,15,"t","(7,4,4)",25025,15366,"lower bound",15366,25025],[3,15,"t","(7,5,1,1,1)",61425,35747,"lower bound",35747,61425],[3,15,"t","(7,5,2,1)",108108,54509,"lower bound",54509,108108],[3,15,"t","(7,5,3)",45045,27882,"lower bound",27882,45045],[3,15,"t","(7,6,1,1)",27027,16877,"lower bound",16877,27027],[3,15,"t","(7,6,2)",25025,15415,"lower bound",15415,25025],[3,15,"t","(8,2,2,1,1,1)",43120,25923,"lower bound",25923,43120],[3,15,"t","(8,2,2,2,1)",42042,24215,"lower bound",24215,42042],[3,15,"t","(8,3,1,1,1,1)",44550,25977,"lower bound",25977,44550],[3,15,"t","(8,3,2,1,1)",100100,47701,"lower bound",47701,100100],[3,15,"t","(8,3,2,2)",58968,27980,"lower bound",27980,58968],[3,15,"t","(8,3,3,1)",57330,25927,"lower bound",25927,57330],[3,15,"t","(8,4,1,1,1)",53625,28274,"lower bound",28274,53625],[3,15,"t","(8,4,2,1)",91000,42761,"lower bound",42761,91000],[3,15,"t","(8,4,3)",35035,20061,"lower bound",20061,35035],[3,15,"t","(8,5,1,1)",35100,20253,"lower bound",20253,35100],[3,15,"t","(8,5,2)",32032,18044,"lower bound",18044,32032],[3,15,"t","(9,2,2,1,1)",24948,13209,"lower bound",13209,24948],[3,15,"t","(9,3,1,1,1)",26950,13430,"lower bound",13430,26950],[3,15,"t","(9,3,2,1)",42042,19631,"lower bound",19631,42042],[3,15,"t","(9,4,1,1)",25025,12593,"lower bound",12593,25025],[3,15,"t","(9,4,2)",22113,11508,"lower bound",11508,22113],[3,16,"t","(16)",1,0,"exact",0,0],[3,16,"t","(8,1,1,1,1,1,1,1,1)",6435,6435,"exact",6435,6435],[3,16,"t","(7,2,1,1,1,1,1,1,1)",36608,36608,"exact",36608,36608],[3,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,5005,"exact",5005,5005],[3,16,"t","(6,3,1,1,1,1,1,1,1)",82368,82368,"exact",82368,82368],[3,16,"t","(6,2,2,1,1,1,1,1,1)",85800,85800,"exact",85800,85800],[3,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,24024,"exact",24024,24024],[3,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,3003,"exact",3003,3003],[3,16,"t","(5,4,1,1,1,1,1,1,1)",80640,80640,"exact",80640,80640],[3,16,"t","(5,3,2,1,1,1,1,1,1)",194040,194040,"exact",194040,194040],[3,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,42120,"exact",42120,42120],[3,16,"t","(5,2,2,2,1,1,1,1,1)",105600,105600,"exact",105600,105600],[3,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,45760,"exact",45760,45760],[3,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,11648,"exact",11648,11648],[3,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1365,"exact",1365,1365],[3,16,"t","(4,4,2,1,1,1,1,1,1)",114660,114660,"exact",114660,114660],[3,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,23100,"exact",23100,23100],[3,16,"t","(4,3,3,1,1,1,1,1,1)",112112,112112,"exact",112112,112112],[3,16,"t","(4,3,2,2,1,1,1,1,1)",180180,180180,"exact",180180,180180],[3,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,71680,"exact",71680,71680],[3,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,14300,"exact",14300,14300],[3,16,"t","(4,2,2,2,2,1,1,1,1)",71500,71500,"exact",71500,71500],[3,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,43120,"exact",43120,43120],[3,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,16848,"exact",16848,16848],[3,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,4004,"exact",4004,4004],[3,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,455,"exact",455,455],[3,16,"t","(3,3,3,2,1,1,1,1,1)",69888,69888,"exact",69888,69888],[3,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,21840,"exact",21840,21840],[3,16,"t","(3,3,2,2,2,1,1,1,1)",65520,65520,"exact",65520,65520],[3,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,38220,"exact",38220,38220],[3,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,13860,"exact",13860,13860],[3,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2640,"exact",2640,2640],[3,16,"t","(3,2,2,2,2,2,1,1,1)",24960,24960,"exact",24960,24960],[3,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,20020,"exact",20020,20020],[3,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,10752,"exact",10752,10752],[3,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3900,"exact",3900,3900],[3,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,896,"exact",896,896],[3,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,105,"exact",105,105],[3,16,"t","(2,2,2,2,2,2,2,1,1)",3432,3432,"exact",3432,3432],[3,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,3640,"exact",3640,3640],[3,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,2548,"exact",2548,2548],[3,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1260,"exact",1260,1260],[3,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,440,"exact",440,440],[3,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,104,"exact",104,104],[3,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[3,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,16,"t","(15,1)",15,0,"exact",0,0],[3,16,"t","(14,2)",104,66,"upper bound",0,66],[3,16,"t","(14,1,1)",105,66,"upper bound",0,66],[3,16,"t","(13,3)",440,120,"lower bound",120,366],[3,16,"t","(13,1,1,1)",455,120,"lower bound",120,396],[3,16,"t","(13,2,1)",896,240,"lower bound",240,760],[3,16,"t","(12,4)",1260,629,"lower bound",629,1146],[3,16,"t","(12,1,1,1,1)",1365,846,"lower bound",846,1304],[3,16,"t","(2,2,2,2,2,2,2,2)",1430,1426,"lower bound",1426,1429],[3,16,"t","(8,8)",1430,1120,"lower bound",1120,1378],[3,16,"t","(11,5)",2548,1634,"lower bound",1634,2400],[3,16,"t","(12,2,2)",2640,1444,"lower bound",1444,2464],[3,16,"t","(11,1,1,1,1,1)",3003,2577,"lower bound",2577,2968],[3,16,"t","(9,7)",3432,2528,"lower bound",2528,3304],[3,16,"t","(10,6)",3640,2595,"lower bound",2595,3480],[3,16,"t","(12,3,1)",3900,2049,"lower bound",2049,3618],[3,16,"t","(12,2,1,1)",4004,1900,"lower bound",1900,3777],[3,16,"t","(10,1,1,1,1,1,1)",5005,4489,"lower bound",4489,4991],[3,16,"t","(9,1,1,1,1,1,1,1)",6435,6199,"lower bound",6199,6430],[3,16,"t","(11,4,1)",10752,5271,"lower bound",5271,10300],[3,16,"t","(11,2,1,1,1)",11648,6126,"lower bound",6126,11422],[3,16,"t","(11,3,2)",13860,6767,"lower bound",6767,13365],[3,16,"t","(11,2,2,1)",14300,7039,"lower bound",7039,13921],[3,16,"t","(11,3,1,1)",16848,7675,"lower bound",7675,16355],[3,16,"t","(8,7,1)",18018,11856,"lower bound",11856,17646],[3,16,"t","(10,2,1,1,1,1)",24024,14763,"lower bound",14763,24024],[3,16,"t","(10,2,2,1,1)",42120,21812,"lower bound",21812,42120],[3,16,"t","(10,2,2,2)",23100,12507,"lower bound",12507,23100],[3,16,"t","(10,3,1,1,1)",45760,22276,"lower bound",22276,45760],[3,16,"t","(10,3,2,1)",71680,33472,"lower bound",33472,71680],[3,16,"t","(10,3,3)",21840,11588,"lower bound",11588,21840],[3,16,"t","(10,4,1,1)",43120,20919,"lower bound",20919,43120],[3,16,"t","(10,4,2)",38220,19485,"lower bound",19485,38220],[3,16,"t","(10,5,1)",20020,11072,"lower bound",11072,20020],[3,16,"t","(3,2,2,2,2,2,2,1)",18018,16321,"lower bound",16321,18018],[3,16,"t","(3,3,2,2,2,2,1,1)",68640,58004,"lower bound",58004,68640],[3,16,"t","(3,3,2,2,2,2,2)",30030,25099,"lower bound",25099,30030],[3,16,"t","(3,3,3,2,2,1,1,1)",112112,93475,"lower bound",93475,112112],[3,16,"t","(3,3,3,2,2,2,1)",91520,74027,"lower bound",74027,91520],[3,16,"t","(3,3,3,3,1,1,1,1)",60060,49862,"lower bound",49862,60060],[3,16,"t","(3,3,3,3,2,1,1)",100100,79722,"lower bound",79722,100100],[3,16,"t","(3,3,3,3,2,2)",51480,40906,"lower bound",40906,51480],[3,16,"t","(3,3,3,3,3,1)",36036,28763,"lower bound",28763,36036],[3,16,"t","(4,2,2,2,2,2,1,1)",73710,60589,"lower bound",60589,73710],[3,16,"t","(4,2,2,2,2,2,2)",32032,25712,"lower bound",25712,32032],[3,16,"t","(4,3,2,2,2,1,1,1)",266240,207387,"lower bound",207387,266240],[3,16,"t","(4,3,2,2,2,2,1)",210210,154945,"lower bound",154945,210210],[3,16,"t","(4,3,3,2,1,1,1,1)",318500,246464,"lower bound",246464,318500],[3,16,"t","(4,3,3,2,2,1,1)",416988,297294,"lower bound",297294,416988],[3,16,"t","(4,3,3,2,2,2)",200200,138818,"lower bound",138818,200200],[3,16,"t","(4,3,3,3,1,1,1)",240240,168937,"lower bound",168937,240240],[3,16,"t","(4,3,3,3,2,1)",292864,200669,"lower bound",200669,292864],[3,16,"t","(4,3,3,3,3)",60060,41962,"lower bound",41962,60060],[3,16,"t","(4,4,2,2,1,1,1,1)",262080,198339,"lower bound",198339,262080],[3,16,"t","(4,4,2,2,2,1,1)",320320,217844,"lower bound",217844,320320],[3,16,"t","(4,4,2,2,2,2)",150150,97611,"lower bound",97611,150150],[3,16,"t","(4,4,3,1,1,1,1,1)",206388,158095,"lower bound",158095,206388],[3,16,"t","(4,4,3,2,1,1,1)",512512,343214,"lower bound",343214,512512],[3,16,"t","(4,4,3,2,2,1)",500500,315957,"lower bound",315957,500500],[3,16,"t","(4,4,3,3,1,1)",336336,211597,"lower bound",211597,336336],[3,16,"t","(4,4,3,3,2)",231660,145987,"lower bound",145987,231660],[3,16,"t","(4,4,4,1,1,1,1)",140140,93431,"lower bound",93431,140140],[3,16,"t","(4,4,4,2,1,1)",300300,184512,"lower bound",184512,300300],[3,16,"t","(4,4,4,2,2)",171600,104220,"lower bound",104220,171600],[3,16,"t","(4,4,4,3,1)",180180,112158,"lower bound",112158,180180],[3,16,"t","(4,4,4,4)",24024,16070,"lower bound",16070,24024],[3,16,"t","(5,2,2,2,2,1,1,1)",150150,115955,"lower bound",115955,150150],[3,16,"t","(5,2,2,2,2,2,1)",116480,85761,"lower bound",85761,116480],[3,16,"t","(5,3,2,2,1,1,1,1)",429000,315529,"lower bound",315529,429000],[3,16,"t","(5,3,2,2,2,1,1)",515970,347162,"lower bound",347162,515970],[3,16,"t","(5,3,2,2,2,2)",240240,156650,"lower bound",156650,240240],[3,16,"t","(5,3,3,1,1,1,1,1)",280280,205430,"lower bound",205430,280280],[3,16,"t","(5,3,3,2,1,1,1)",673920,435469,"lower bound",435469,673920],[3,16,"t","(5,3,3,2,2,1)",648648,398964,"lower bound",398964,648648],[3,16,"t","(5,3,3,3,1,1)",411840,247639,"lower bound",247639,411840],[3,16,"t","(5,3,3,3,2)",280280,169017,"lower bound",169017,280280],[3,16,"t","(5,4,2,1,1,1,1,1)",360360,265719,"lower bound",265719,360360],[3,16,"t","(5,4,2,2,1,1,1)",698880,444201,"lower bound",444201,698880],[3,16,"t","(5,4,2,2,2,1)",630630,373220,"lower bound",373220,630630],[3,16,"t","(5,4,3,1,1,1,1)",582400,367596,"lower bound",367596,582400],[3,16,"t","(5,4,3,2,1,1)",1153152,659304,"lower bound",659304,1153152],[3,16,"t","(5,4,3,2,2)",640640,358641,"lower bound",358641,640640],[3,16,"t","(5,4,3,3,1)",549120,306428,"lower bound",306428,549120],[3,16,"t","(5,4,4,1,1,1)",360360,204133,"lower bound",204133,360360],[3,16,"t","(5,4,4,2,1)",549120,300208,"lower bound",300208,549120],[3,16,"t","(5,4,4,3)",180180,101278,"lower bound",101278,180180],[3,16,"t","(5,5,1,1,1,1,1,1)",76440,59356,"lower bound",59356,76440],[3,16,"t","(5,5,2,1,1,1,1)",305760,196403,"lower bound",196403,305760],[3,16,"t","(5,5,2,2,1,1)",480480,269960,"lower bound",269960,480480],[3,16,"t","(5,5,2,2,2)",250250,134218,"lower bound",134218,250250],[3,16,"t","(5,5,3,1,1,1)",448448,251049,"lower bound",251049,448448],[3,16,"t","(5,5,3,2,1)",640640,335860,"lower bound",335860,640640],[3,16,"t","(5,5,3,3)",171600,89547,"lower bound",89547,171600],[3,16,"t","(5,5,4,1,1)",280280,149733,"lower bound",149733,280280],[3,16,"t","(5,5,4,2)",231660,121563,"lower bound",121563,231660],[3,16,"t","(5,5,5,1)",60060,33558,"lower bound",33558,60060],[3,16,"t","(6,2,2,2,1,1,1,1)",173250,127867,"lower bound",127867,173250],[3,16,"t","(6,2,2,2,2,1,1)",200200,135482,"lower bound",135482,200200],[3,16,"t","(6,2,2,2,2,2)",91728,60683,"lower bound",60683,91728],[3,16,"t","(6,3,2,1,1,1,1,1)",337920,241991,"lower bound",241991,337920],[3,16,"t","(6,3,2,2,1,1,1)",630630,389450,"lower bound",389450,630630],[3,16,"t","(6,3,2,2,2,1)",559104,325316,"lower bound",325316,559104],[3,16,"t","(6,3,3,1,1,1,1)",429000,257724,"lower bound",257724,429000],[3,16,"t","(6,3,3,2,1,1)",819000,443993,"lower bound",443993,819000],[3,16,"t","(6,3,3,2,2)",448448,239361,"lower bound",239361,448448],[3,16,"t","(6,3,3,3,1)",360360,186757,"lower bound",186757,360360],[3,16,"t","(6,4,1,1,1,1,1,1)",155232,114505,"lower bound",114505,155232],[3,16,"t","(6,4,2,1,1,1,1)",600600,365002,"lower bound",365002,600600],[3,16,"t","(6,4,2,2,1,1)",928746,496068,"lower bound",496068,928746],[3,16,"t","(6,4,2,2,2)",480480,247860,"lower bound",247860,480480],[3,16,"t","(6,4,3,1,1,1)",819000,429567,"lower bound",429567,819000],[3,16,"t","(6,4,3,2,1)",1153152,569651,"lower bound",569651,1153152],[3,16,"t","(6,4,3,3)",300300,147030,"lower bound",147030,300300],[3,16,"t","(6,4,4,1,1)",411840,204655,"lower bound",204655,411840],[3,16,"t","(6,4,4,2)",336336,164860,"lower bound",164860,336336],[3,16,"t","(6,5,1,1,1,1,1)",168168,111058,"lower bound",111058,168168],[3,16,"t","(6,5,2,1,1,1)",559104,306084,"lower bound",306084,559104],[3,16,"t","(6,5,2,2,1)",630630,311111,"lower bound",311111,630630],[3,16,"t","(6,5,3,1,1)",648648,324532,"lower bound",324532,648648],[3,16,"t","(6,5,3,2)",500500,240180,"lower bound",240180,500500],[3,16,"t","(6,5,4,1)",292864,153645,"lower bound",153645,292864],[3,16,"t","(6,5,5)",36036,23571,"lower bound",23571,36036],[3,16,"t","(6,6,1,1,1,1)",91728,57031,"lower bound",57031,91728],[3,16,"t","(6,6,2,1,1)",240240,127167,"lower bound",127167,240240],[3,16,"t","(6,6,2,2)",150150,72843,"lower bound",72843,150150],[3,16,"t","(6,6,3,1)",200200,105459,"lower bound",105459,200200],[3,16,"t","(6,6,4)",51480,33428,"lower bound",33428,51480],[3,16,"t","(7,2,2,1,1,1,1,1)",115830,89275,"lower bound",89275,115830],[3,16,"t","(7,2,2,2,1,1,1)",197120,128666,"lower bound",128666,197120],[3,16,"t","(7,2,2,2,2,1)",168168,103343,"lower bound",103343,168168],[3,16,"t","(7,3,1,1,1,1,1,1)",114400,87044,"lower bound",87044,114400],[3,16,"t","(7,3,2,1,1,1,1)",404250,247979,"lower bound",247979,404250],[3,16,"t","(7,3,2,2,1,1)",600600,320987,"lower bound",320987,600600],[3,16,"t","(7,3,2,2,2)",305760,159343,"lower bound",159343,305760],[3,16,"t","(7,3,3,1,1,1)",429000,217477,"lower bound",217477,429000],[3,16,"t","(7,3,3,2,1)",582400,276285,"lower bound",276285,582400],[3,16,"t","(7,3,3,3)",140140,64197,"lower bound",64197,140140],[3,16,"t","(7,4,1,1,1,1,1)",197120,125123,"lower bound",125123,197120],[3,16,"t","(7,4,2,1,1,1)",630630,327512,"lower bound",327512,630630],[3,16,"t","(7,4,2,2,1)",698880,330536,"lower bound",330536,698880],[3,16,"t","(7,4,3,1,1)",673920,315460,"lower bound",315460,673920],[3,16,"t","(7,4,3,2)",512512,232756,"lower bound",232756,512512],[3,16,"t","(7,4,4,1)",240240,118139,"lower bound",118139,240240],[3,16,"t","(7,5,1,1,1,1)",200200,118000,"lower bound",118000,200200],[3,16,"t","(7,5,2,1,1)",515970,259810,"lower bound",259810,515970],[3,16,"t","(7,5,2,2)",320320,149933,"lower bound",149933,320320],[3,16,"t","(7,5,3,1)",416988,210024,"lower bound",210024,416988],[3,16,"t","(7,5,4)",100100,62723,"lower bound",62723,100100],[3,16,"t","(7,6,1,1,1)",116480,70161,"lower bound",70161,116480],[3,16,"t","(7,6,2,1)",210210,113523,"lower bound",113523,210210],[3,16,"t","(7,6,3)",91520,57250,"lower bound",57250,91520],[3,16,"t","(7,7,1,1)",32032,20277,"lower bound",20277,32032],[3,16,"t","(7,7,2)",30030,18815,"lower bound",18815,30030],[3,16,"t","(8,2,1,1,1,1,1,1)",42042,35812,"lower bound",35812,42042],[3,16,"t","(8,2,2,1,1,1,1)",114400,77748,"lower bound",77748,114400],[3,16,"t","(8,2,2,2,1,1)",155232,91988,"lower bound",91988,155232],[3,16,"t","(8,2,2,2,2)",76440,44991,"lower bound",44991,76440],[3,16,"t","(8,3,1,1,1,1,1)",115830,77082,"lower bound",77082,115830],[3,16,"t","(8,3,2,1,1,1)",337920,179813,"lower bound",179813,337920],[3,16,"t","(8,3,2,2,1)",360360,177235,"lower bound",177235,360360],[3,16,"t","(8,3,3,1,1)",280280,128943,"lower bound",128943,280280],[3,16,"t","(8,3,3,2)",206388,93456,"lower bound",93456,206388],[3,16,"t","(8,4,1,1,1,1)",173250,97010,"lower bound",97010,173250],[3,16,"t","(8,4,2,1,1)",429000,205382,"lower bound",205382,429000],[3,16,"t","(8,4,2,2)",262080,120044,"lower bound",120044,262080],[3,16,"t","(8,4,3,1)",318500,151598,"lower bound",151598,318500],[3,16,"t","(8,4,4)",60060,35427,"lower bound",35427,60060],[3,16,"t","(8,5,1,1,1)",150150,84274,"lower bound",84274,150150],[3,16,"t","(8,5,2,1)",266240,135567,"lower bound",135567,266240],[3,16,"t","(8,5,3)",112112,65987,"lower bound",65987,112112],[3,16,"t","(8,6,1,1)",73710,44588,"lower bound",44588,73710],[3,16,"t","(8,6,2)",68640,40917,"lower bound",40917,68640],[3,16,"t","(9,2,1,1,1,1,1)",36608,27076,"lower bound",27076,36608],[3,16,"t","(9,2,2,1,1,1)",82368,48202,"lower bound",48202,82368],[3,16,"t","(9,2,2,2,1)",80640,45363,"lower bound",45363,80640],[3,16,"t","(9,3,1,1,1,1)",85800,48477,"lower bound",48477,85800],[3,16,"t","(9,3,2,1,1)",194040,93971,"lower bound",93971,194040],[3,16,"t","(9,3,2,2)",114660,55550,"lower bound",55550,114660],[3,16,"t","(9,3,3,1)",112112,52684,"lower bound",52684,112112],[3,16,"t","(9,4,1,1,1)",105600,54297,"lower bound",54297,105600],[3,16,"t","(9,4,2,1)",180180,86493,"lower bound",86493,180180],[3,16,"t","(9,4,3)",69888,38695,"lower bound",38695,69888],[3,16,"t","(9,5,1,1)",71500,39452,"lower bound",39452,71500],[3,16,"t","(9,5,2)",65520,36158,"lower bound",36158,65520],[3,16,"t","(9,6,1)",24960,15383,"lower bound",15383,24960],[3,17,"t","(17)",1,0,"exact",0,0],[3,17,"t","(9,1,1,1,1,1,1,1,1)",12870,12870,"exact",12870,12870],[3,17,"t","(8,2,1,1,1,1,1,1,1)",85085,85085,"exact",85085,85085],[3,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,11440,"exact",11440,11440],[3,17,"t","(7,3,1,1,1,1,1,1,1)",233376,233376,"exact",233376,233376],[3,17,"t","(7,2,2,1,1,1,1,1,1)",238238,238238,"exact",238238,238238],[3,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,65637,"exact",65637,65637],[3,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,8008,"exact",8008,8008],[3,17,"t","(6,4,1,1,1,1,1,1,1)",318240,318240,"exact",318240,318240],[3,17,"t","(6,3,2,1,1,1,1,1,1)",700128,700128,"exact",700128,700128],[3,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,148512,"exact",148512,148512],[3,17,"t","(6,2,2,2,1,1,1,1,1)",364650,364650,"exact",364650,364650],[3,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,155584,"exact",155584,155584],[3,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,38675,"exact",38675,38675],[3,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,4368,"exact",4368,4368],[3,17,"t","(5,5,1,1,1,1,1,1,1)",157080,157080,"exact",157080,157080],[3,17,"t","(5,4,2,1,1,1,1,1,1)",749700,749700,"exact",749700,749700],[3,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,145860,"exact",145860,145860],[3,17,"t","(5,3,3,1,1,1,1,1,1)",586432,586432,"exact",586432,586432],[3,17,"t","(5,3,2,2,1,1,1,1,1)",908820,908820,"exact",908820,908820],[3,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,353600,"exact",353600,353600],[3,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,68068,"exact",68068,68068],[3,17,"t","(5,2,2,2,2,1,1,1,1)",327250,327250,"exact",327250,327250],[3,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,194480,"exact",194480,194480],[3,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,74256,"exact",74256,74256],[3,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,17017,"exact",17017,17017],[3,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1820,"exact",1820,1820],[3,17,"t","(4,4,3,1,1,1,1,1,1)",433160,433160,"exact",433160,433160],[3,17,"t","(4,4,2,2,1,1,1,1,1)",556920,556920,"exact",556920,556920],[3,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,209440,"exact",209440,209440],[3,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,37400,"exact",37400,37400],[3,17,"t","(4,3,3,2,1,1,1,1,1)",680680,680680,"exact",680680,680680],[3,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,205632,"exact",205632,205632],[3,17,"t","(4,3,2,2,2,1,1,1,1)",583440,583440,"exact",583440,583440],[3,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,333200,"exact",333200,333200],[3,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,116688,"exact",116688,116688],[3,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,20944,"exact",20944,20944],[3,17,"t","(4,2,2,2,2,2,1,1,1)",170170,170170,"exact",170170,170170],[3,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,134640,"exact",134640,134640],[3,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,70720,"exact",70720,70720],[3,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,24752,"exact",24752,24752],[3,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,5355,"exact",5355,5355],[3,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,560,"exact",560,560],[3,17,"t","(3,3,3,3,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"t","(3,3,3,2,2,1,1,1,1)",247520,247520,"exact",247520,247520],[3,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,129948,"exact",129948,129948],[3,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,35700,"exact",35700,35700],[3,17,"t","(3,3,2,2,2,2,1,1,1)",159120,159120,"exact",159120,159120],[3,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,123760,"exact",123760,123760],[3,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,62832,"exact",62832,62832],[3,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,20400,"exact",20400,20400],[3,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3536,"exact",3536,3536],[3,17,"t","(3,2,2,2,2,2,2,1,1)",46410,46410,"exact",46410,46410],[3,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,48620,"exact",48620,48620],[3,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,33320,"exact",33320,33320],[3,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,15912,"exact",15912,15912],[3,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,5236,"exact",5236,5236],[3,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1105,"exact",1105,1105],[3,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,120,"exact",120,120],[3,17,"t","(2,2,2,2,2,2,2,2,1)",4862,4862,"exact",4862,4862],[3,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,7072,"exact",7072,7072],[3,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3808,"exact",3808,3808],[3,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1700,"exact",1700,1700],[3,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,544,"exact",544,544],[3,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,119,"exact",119,119],[3,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[3,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,17,"t","(16,1)",16,0,"exact",0,0],[3,17,"t","(15,2)",119,78,"upper bound",0,78],[3,17,"t","(15,1,1)",120,78,"upper bound",0,78],[3,17,"t","(14,3)",544,120,"lower bound",120,463],[3,17,"t","(14,1,1,1)",560,120,"lower bound",120,496],[3,17,"t","(14,2,1)",1105,240,"lower bound",240,957],[3,17,"t","(13,4)",1700,749,"lower bound",749,1573],[3,17,"t","(13,1,1,1,1)",1820,966,"lower bound",966,1754],[3,17,"t","(13,2,2)",3536,1684,"lower bound",1684,3343],[3,17,"t","(12,5)",3808,2263,"lower bound",2263,3636],[3,17,"t","(12,1,1,1,1,1)",4368,3423,"lower bound",3423,4329],[3,17,"t","(9,8)",4862,3648,"lower bound",3648,4749],[3,17,"t","(13,3,1)",5236,2409,"lower bound",2409,4923],[3,17,"t","(13,2,1,1)",5355,2260,"lower bound",2260,5105],[3,17,"t","(11,6)",6188,4229,"lower bound",4229,5991],[3,17,"t","(10,7)",7072,5123,"lower bound",5123,6890],[3,17,"t","(11,1,1,1,1,1,1)",8008,7066,"lower bound",7066,7992],[3,17,"t","(10,1,1,1,1,1,1,1)",11440,10688,"lower bound",10688,11435],[3,17,"t","(12,4,1)",15912,7949,"lower bound",7949,15399],[3,17,"t","(12,2,1,1,1)",17017,8872,"lower bound",8872,16766],[3,17,"t","(8,8,1)",19448,12976,"lower bound",12976,19207],[3,17,"t","(10,2,1,1,1,1,1)",65637,46328,"lower bound",46328,65637],[3,17,"t","(10,2,2,1,1,1)",148512,84777,"lower bound",84777,148512],[3,17,"t","(10,2,2,2,1)",145860,79682,"lower bound",79682,145860],[3,17,"t","(10,3,1,1,1,1)",155584,85516,"lower bound",85516,155584],[3,17,"t","(10,3,2,1,1)",353600,171531,"lower bound",171531,353600],[3,17,"t","(10,3,2,2)",209440,101529,"lower bound",101529,209440],[3,17,"t","(10,3,3,1)",205632,97744,"lower bound",97744,205632],[3,17,"t","(10,4,1,1,1)",194480,97492,"lower bound",97492,194480],[3,17,"t","(10,4,2,1)",333200,160369,"lower bound",160369,333200],[3,17,"t","(10,4,3)",129948,69768,"lower bound",69768,129948],[3,17,"t","(10,5,1,1)",134640,71443,"lower bound",71443,134640],[3,17,"t","(10,5,2)",123760,66715,"lower bound",66715,123760],[3,17,"t","(10,6,1)",48620,29050,"lower bound",29050,48620],[3,17,"t","(11,2,1,1,1,1)",38675,23466,"lower bound",23466,38675],[3,17,"t","(11,2,2,1,1)",68068,34977,"lower bound",34977,68068],[3,17,"t","(11,2,2,2)",37400,19546,"lower bound",19546,37400],[3,17,"t","(11,3,1,1,1)",74256,36077,"lower bound",36077,74256],[3,17,"t","(11,3,2,1)",116688,54953,"lower bound",54953,116688],[3,17,"t","(11,3,3)",35700,18355,"lower bound",18355,35700],[3,17,"t","(11,4,1,1)",70720,33865,"lower bound",33865,70720],[3,17,"t","(11,4,2)",62832,31523,"lower bound",31523,62832],[3,17,"t","(11,5,1)",33320,17977,"lower bound",17977,33320],[3,17,"t","(12,2,2,1)",20944,10383,"lower bound",10383,20944],[3,17,"t","(12,3,1,1)",24752,11624,"lower bound",11624,24752],[3,17,"t","(12,3,2)",20400,10260,"lower bound",10260,20400],[3,17,"t","(3,2,2,2,2,2,2,2)",19448,17747,"lower bound",17747,19448],[3,17,"t","(3,3,2,2,2,2,2,1)",116688,99424,"lower bound",99424,116688],[3,17,"t","(3,3,3,2,2,2,1,1)",272272,225506,"lower bound",225506,272272],[3,17,"t","(3,3,3,2,2,2,2)",121550,99126,"lower bound",99126,121550],[3,17,"t","(3,3,3,3,2,1,1,1)",272272,223059,"lower bound",223059,272272],[3,17,"t","(3,3,3,3,2,2,1)",243100,194655,"lower bound",194655,243100],[3,17,"t","(3,3,3,3,3,1,1)",136136,108485,"lower bound",108485,136136],[3,17,"t","(3,3,3,3,3,2)",87516,69669,"lower bound",69669,87516],[3,17,"t","(4,2,2,2,2,2,2,1)",123760,102622,"lower bound",102622,123760],[3,17,"t","(4,3,2,2,2,2,1,1)",618800,480925,"lower bound",480925,618800],[3,17,"t","(4,3,2,2,2,2,2)",272272,205756,"lower bound",205756,272272],[3,17,"t","(4,3,3,2,2,1,1,1)",1113840,844620,"lower bound",844620,1113840],[3,17,"t","(4,3,3,2,2,2,1)",918918,665084,"lower bound",665084,918918],[3,17,"t","(4,3,3,3,1,1,1,1)",618800,465263,"lower bound",465263,618800],[3,17,"t","(4,3,3,3,2,1,1)",1050192,746622,"lower bound",746622,1050192],[3,17,"t","(4,3,3,3,2,2)",544544,380393,"lower bound",380393,544544],[3,17,"t","(4,3,3,3,3,1)",388960,271394,"lower bound",271394,388960],[3,17,"t","(4,4,2,2,2,1,1,1)",848640,623570,"lower bound",623570,848640],[3,17,"t","(4,4,2,2,2,2,1)",680680,470400,"lower bound",470400,680680],[3,17,"t","(4,4,3,2,1,1,1,1)",1299480,946112,"lower bound",946112,1299480],[3,17,"t","(4,4,3,2,2,1,1)",1750320,1174309,"lower bound",1174309,1750320],[3,17,"t","(4,4,3,2,2,2)",850850,552386,"lower bound",552386,850850],[3,17,"t","(4,4,3,3,1,1,1)",1089088,723748,"lower bound",723748,1089088],[3,17,"t","(4,4,3,3,2,1)",1361360,874210,"lower bound",874210,1361360],[3,17,"t","(4,4,3,3,3)",291720,187949,"lower bound",187949,291720],[3,17,"t","(4,4,4,1,1,1,1,1)",346528,251526,"lower bound",251526,346528],[3,17,"t","(4,4,4,2,1,1,1)",952952,621157,"lower bound",621157,952952],[3,17,"t","(4,4,4,2,2,1)",972400,604689,"lower bound",604689,972400],[3,17,"t","(4,4,4,3,1,1)",816816,508267,"lower bound",508267,816816],[3,17,"t","(4,4,4,3,2)",583440,362365,"lower bound",362365,583440],[3,17,"t","(4,4,4,4,1)",204204,128228,"lower bound",128228,204204],[3,17,"t","(5,2,2,2,2,2,1,1)",340340,262305,"lower bound",262305,340340],[3,17,"t","(5,2,2,2,2,2,2)",148512,111473,"lower bound",111473,148512],[3,17,"t","(5,3,2,2,2,1,1,1)",1361360,986033,"lower bound",986033,1361360],[3,17,"t","(5,3,2,2,2,2,1)",1082900,744518,"lower bound",744518,1082900],[3,17,"t","(5,3,3,2,1,1,1,1)",1701700,1202892,"lower bound",1202892,1701700],[3,17,"t","(5,3,3,2,2,1,1)",2255526,1478889,"lower bound",1478889,2255526],[3,17,"t","(5,3,3,2,2,2)",1089088,694432,"lower bound",694432,1089088],[3,17,"t","(5,3,3,3,1,1,1)",1326000,852045,"lower bound",852045,1326000],[3,17,"t","(5,3,3,3,2,1)",1633632,1016289,"lower bound",1016289,1633632],[3,17,"t","(5,3,3,3,3)",340340,210979,"lower bound",210979,340340],[3,17,"t","(5,4,2,2,1,1,1,1)",1750320,1223788,"lower bound",1223788,1750320],[3,17,"t","(5,4,2,2,2,1,1)",2165800,1382427,"lower bound",1382427,2165800],[3,17,"t","(5,4,2,2,2,2)",1021020,627481,"lower bound",627481,1021020],[3,17,"t","(5,4,3,1,1,1,1,1)",1429428,996840,"lower bound",996840,1429428],[3,17,"t","(5,4,3,2,1,1,1)",3620864,2249784,"lower bound",2249784,3620864],[3,17,"t","(5,4,3,2,2,1)",3573570,2106086,"lower bound",2106086,3573570],[3,17,"t","(5,4,3,3,1,1)",2450448,1424968,"lower bound",1424968,2450448],[3,17,"t","(5,4,3,3,2)",1701700,980073,"lower bound",980073,1701700],[3,17,"t","(5,4,4,1,1,1,1)",1082900,665160,"lower bound",665160,1082900],[3,17,"t","(5,4,4,2,1,1)",2362932,1348157,"lower bound",1348157,2362932],[3,17,"t","(5,4,4,2,2)",1361360,763069,"lower bound",763069,1361360],[3,17,"t","(5,4,4,3,1)",1458600,820072,"lower bound",820072,1458600],[3,17,"t","(5,4,4,4)",204204,117348,"lower bound",117348,204204],[3,17,"t","(5,5,2,1,1,1,1,1)",742560,521478,"lower bound",521478,742560],[3,17,"t","(5,5,2,2,1,1,1)",1485120,910564,"lower bound",910564,1485120],[3,17,"t","(5,5,2,2,2,1)",1361360,777398,"lower bound",777398,1361360],[3,17,"t","(5,5,3,1,1,1,1)",1336608,815048,"lower bound",815048,1336608],[3,17,"t","(5,5,3,2,1,1)",2722720,1516173,"lower bound",1516173,2722720],[3,17,"t","(5,5,3,2,2)",1531530,828719,"lower bound",828719,1531530],[3,17,"t","(5,5,3,3,1)",1361360,731835,"lower bound",731835,1361360],[3,17,"t","(5,5,4,1,1,1)",1089088,604915,"lower bound",604915,1089088],[3,17,"t","(5,5,4,2,1)",1701700,907364,"lower bound",907364,1701700],[3,17,"t","(5,5,4,3)",583440,312388,"lower bound",312388,583440],[3,17,"t","(5,5,5,1,1)",340340,183291,"lower bound",183291,340340],[3,17,"t","(5,5,5,2)",291720,155121,"lower bound",155121,291720],[3,17,"t","(6,2,2,2,2,1,1,1)",523600,379304,"lower bound",379304,523600],[3,17,"t","(6,2,2,2,2,2,1)",408408,281926,"lower bound",281926,408408],[3,17,"t","(6,3,2,2,1,1,1,1)",1570800,1074837,"lower bound",1074837,1570800],[3,17,"t","(6,3,2,2,2,1,1)",1905904,1197410,"lower bound",1197410,1905904],[3,17,"t","(6,3,2,2,2,2)",891072,542649,"lower bound",542649,891072],[3,17,"t","(6,3,3,1,1,1,1,1)",1047200,705145,"lower bound",705145,1047200],[3,17,"t","(6,3,3,2,1,1,1)",2552550,1526636,"lower bound",1526636,2552550],[3,17,"t","(6,3,3,2,2,1)",2475200,1407634,"lower bound",1407634,2475200],[3,17,"t","(6,3,3,3,1,1)",1591200,878389,"lower bound",878389,1591200],[3,17,"t","(6,3,3,3,2)",1089088,595135,"lower bound",595135,1089088],[3,17,"t","(6,4,2,1,1,1,1,1)",1454112,987217,"lower bound",987217,1454112],[3,17,"t","(6,4,2,2,1,1,1)",2858856,1694721,"lower bound",1694721,2858856],[3,17,"t","(6,4,2,2,2,1)",2598960,1442464,"lower bound",1442464,2598960],[3,17,"t","(6,4,3,1,1,1,1)",2431000,1419889,"lower bound",1419889,2431000],[3,17,"t","(6,4,3,2,1,1)",4873050,2598583,"lower bound",2598583,4873050],[3,17,"t","(6,4,3,2,2)",2722720,1415513,"lower bound",1415513,2722720],[3,17,"t","(6,4,3,3,1)",2362932,1209866,"lower bound",1209866,2362932],[3,17,"t","(6,4,4,1,1,1)",1591200,838355,"lower bound",838355,1591200],[3,17,"t","(6,4,4,2,1)",2450448,1239374,"lower bound",1239374,2450448],[3,17,"t","(6,4,4,3)",816816,413168,"lower bound",413168,816816],[3,17,"t","(6,5,1,1,1,1,1,1)",399840,284919,"lower bound",284919,399840],[3,17,"t","(6,5,2,1,1,1,1)",1633632,978547,"lower bound",978547,1633632],[3,17,"t","(6,5,2,2,1,1)",2598960,1383223,"lower bound",1383223,2598960],[3,17,"t","(6,5,2,2,2)",1361360,693189,"lower bound",693189,1361360],[3,17,"t","(6,5,3,1,1,1)",2475200,1311232,"lower bound",1311232,2475200],[3,17,"t","(6,5,3,2,1)",3573570,1781334,"lower bound",1781334,3573570],[3,17,"t","(6,5,3,3)",972400,476757,"lower bound",476757,972400],[3,17,"t","(6,5,4,1,1)",1633632,832565,"lower bound",832565,1633632],[3,17,"t","(6,5,4,2)",1361360,680248,"lower bound",680248,1361360],[3,17,"t","(6,5,5,1)",388960,210774,"lower bound",210774,388960],[3,17,"t","(6,6,1,1,1,1,1)",259896,168089,"lower bound",168089,259896],[3,17,"t","(6,6,2,1,1,1)",891072,490282,"lower bound",490282,891072],[3,17,"t","(6,6,2,2,1)",1021020,511121,"lower bound",511121,1021020],[3,17,"t","(6,6,3,1,1)",1089088,557158,"lower bound",557158,1089088],[3,17,"t","(6,6,3,2)",850850,418482,"lower bound",418482,850850],[3,17,"t","(6,6,4,1)",544544,292532,"lower bound",292532,544544],[3,17,"t","(6,6,5)",87516,56999,"lower bound",56999,87516],[3,17,"t","(7,2,2,2,1,1,1,1)",486200,345808,"lower bound",345808,486200],[3,17,"t","(7,2,2,2,2,1,1)",565488,367491,"lower bound",367491,565488],[3,17,"t","(7,2,2,2,2,2)",259896,164026,"lower bound",164026,259896],[3,17,"t","(7,3,2,1,1,1,1,1)",972400,666289,"lower bound",666289,972400],[3,17,"t","(7,3,2,2,1,1,1)",1832600,1087082,"lower bound",1087082,1832600],[3,17,"t","(7,3,2,2,2,1)",1633632,908989,"lower bound",908989,1633632],[3,17,"t","(7,3,3,1,1,1,1)",1262250,723180,"lower bound",723180,1262250],[3,17,"t","(7,3,3,2,1,1)",2431000,1258742,"lower bound",1258742,2431000],[3,17,"t","(7,3,3,2,2)",1336608,674989,"lower bound",674989,1336608],[3,17,"t","(7,3,3,3,1)",1082900,527239,"lower bound",527239,1082900],[3,17,"t","(7,4,1,1,1,1,1,1)",466752,326672,"lower bound",326672,466752],[3,17,"t","(7,4,2,1,1,1,1)",1832600,1065616,"lower bound",1065616,1832600],[3,17,"t","(7,4,2,2,1,1)",2858856,1475103,"lower bound",1475103,2858856],[3,17,"t","(7,4,2,2,2)",1485120,737739,"lower bound",737739,1485120],[3,17,"t","(7,4,3,1,1,1)",2552550,1290016,"lower bound",1290016,2552550],[3,17,"t","(7,4,3,2,1)",3620864,1724688,"lower bound",1724688,3620864],[3,17,"t","(7,4,3,3)",952952,443983,"lower bound",443983,952952],[3,17,"t","(7,4,4,1,1)",1326000,638254,"lower bound",638254,1326000],[3,17,"t","(7,4,4,2)",1089088,515755,"lower bound",515755,1089088],[3,17,"t","(7,5,1,1,1,1,1)",565488,354181,"lower bound",354181,565488],[3,17,"t","(7,5,2,1,1,1)",1905904,1011406,"lower bound",1011406,1905904],[3,17,"t","(7,5,2,2,1)",2165800,1051390,"lower bound",1051390,2165800],[3,17,"t","(7,5,3,1,1)",2255526,1109826,"lower bound",1109826,2255526],[3,17,"t","(7,5,3,2)",1750320,832893,"lower bound",832893,1750320],[3,17,"t","(7,5,4,1)",1050192,544531,"lower bound",544531,1050192],[3,17,"t","(7,5,5)",136136,86294,"lower bound",86294,136136],[3,17,"t","(7,6,1,1,1,1)",408408,245192,"lower bound",245192,408408],[3,17,"t","(7,6,2,1,1)",1082900,570661,"lower bound",570661,1082900],[3,17,"t","(7,6,2,2)",680680,336299,"lower bound",336299,680680],[3,17,"t","(7,6,3,1)",918918,486256,"lower bound",486256,918918],[3,17,"t","(7,6,4)",243100,153401,"lower bound",153401,243100],[3,17,"t","(7,7,1,1,1)",148512,90438,"lower bound",90438,148512],[3,17,"t","(7,7,2,1)",272272,152615,"lower bound",152615,272272],[3,17,"t","(7,7,3)",121550,76065,"lower bound",76065,121550],[3,17,"t","(8,2,2,1,1,1,1,1)",272272,202835,"lower bound",202835,272272],[3,17,"t","(8,2,2,2,1,1,1)",466752,298402,"lower bound",298402,466752],[3,17,"t","(8,2,2,2,2,1)",399840,240322,"lower bound",240322,399840],[3,17,"t","(8,3,1,1,1,1,1,1)",272272,199938,"lower bound",199938,272272],[3,17,"t","(8,3,2,1,1,1,1)",972400,582622,"lower bound",582622,972400],[3,17,"t","(8,3,2,2,1,1)",1454112,770023,"lower bound",770023,1454112],[3,17,"t","(8,3,2,2,2)",742560,381569,"lower bound",381569,742560],[3,17,"t","(8,3,3,1,1,1)",1047200,526233,"lower bound",526233,1047200],[3,17,"t","(8,3,3,2,1)",1429428,675919,"lower bound",675919,1429428],[3,17,"t","(8,3,3,3)",346528,157653,"lower bound",157653,346528],[3,17,"t","(8,4,1,1,1,1,1)",486200,299215,"lower bound",299215,486200],[3,17,"t","(8,4,2,1,1,1)",1570800,809717,"lower bound",809717,1570800],[3,17,"t","(8,4,2,2,1)",1750320,833197,"lower bound",833197,1750320],[3,17,"t","(8,4,3,1,1)",1701700,801383,"lower bound",801383,1701700],[3,17,"t","(8,4,3,2)",1299480,597854,"lower bound",597854,1299480],[3,17,"t","(8,4,4,1)",618800,305164,"lower bound",305164,618800],[3,17,"t","(8,5,1,1,1,1)",523600,299284,"lower bound",299284,523600],[3,17,"t","(8,5,2,1,1)",1361360,685033,"lower bound",685033,1361360],[3,17,"t","(8,5,2,2)",848640,405544,"lower bound",405544,848640],[3,17,"t","(8,5,3,1)",1113840,563176,"lower bound",563176,1113840],[3,17,"t","(8,5,4)",272272,164137,"lower bound",164137,272272],[3,17,"t","(8,6,1,1,1)",340340,199023,"lower bound",199023,340340],[3,17,"t","(8,6,2,1)",618800,334595,"lower bound",334595,618800],[3,17,"t","(8,6,3)",272272,164154,"lower bound",164154,272272],[3,17,"t","(8,7,1,1)",123760,76721,"lower bound",76721,123760],[3,17,"t","(8,7,2)",116688,71588,"lower bound",71588,116688],[3,17,"t","(9,2,1,1,1,1,1,1)",85085,69087,"lower bound",69087,85085],[3,17,"t","(9,2,2,1,1,1,1)",233376,153026,"lower bound",153026,233376],[3,17,"t","(9,2,2,2,1,1)",318240,185553,"lower bound",185553,318240],[3,17,"t","(9,2,2,2,2)",157080,90354,"lower bound",90354,157080],[3,17,"t","(9,3,1,1,1,1,1)",238238,152635,"lower bound",152635,238238],[3,17,"t","(9,3,2,1,1,1)",700128,370463,"lower bound",370463,700128],[3,17,"t","(9,3,2,2,1)",749700,372119,"lower bound",372119,749700],[3,17,"t","(9,3,3,1,1)",586432,275598,"lower bound",275598,586432],[3,17,"t","(9,3,3,2)",433160,201690,"lower bound",201690,433160],[3,17,"t","(9,4,1,1,1,1)",364650,199784,"lower bound",199784,364650],[3,17,"t","(9,4,2,1,1)",908820,440143,"lower bound",440143,908820],[3,17,"t","(9,4,2,2)",556920,262087,"lower bound",262087,556920],[3,17,"t","(9,4,3,1)",680680,329470,"lower bound",329470,680680],[3,17,"t","(9,4,4)",129948,74122,"lower bound",74122,129948],[3,17,"t","(9,5,1,1,1)",327250,178023,"lower bound",178023,327250],[3,17,"t","(9,5,2,1)",583440,297670,"lower bound",297670,583440],[3,17,"t","(9,5,3)",247520,140840,"lower bound",140840,247520],[3,17,"t","(9,6,1,1)",170170,99423,"lower bound",99423,170170],[3,17,"t","(9,6,2)",159120,92458,"lower bound",92458,159120],[3,17,"t","(9,7,1)",46410,29767,"lower bound",29767,46410],[3,18,"t","(18)",1,0,"exact",0,0],[3,18,"t","(10,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"t","(9,2,1,1,1,1,1,1,1)",183040,183040,"exact",183040,183040],[3,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,24310,"exact",24310,24310],[3,18,"t","(8,3,1,1,1,1,1,1,1)",590733,590733,"exact",590733,590733],[3,18,"t","(8,2,2,1,1,1,1,1,1)",595595,595595,"exact",595595,595595],[3,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,162162,"exact",162162,162162],[3,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,19448,"exact",19448,19448],[3,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,1018368,"exact",1018368,1018368],[3,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,2144142,"exact",2144142,2144142],[3,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,447525,"exact",447525,447525],[3,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,1089088,"exact",1089088,1089088],[3,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,459459,"exact",459459,459459],[3,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,112320,"exact",112320,112320],[3,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,12376,"exact",12376,12376],[3,18,"t","(6,5,1,1,1,1,1,1,1)",875160,875160,"exact",875160,875160],[3,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,3222180,"exact",3222180,3222180],[3,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,2333760,"exact",2333760,2333760],[3,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,3544398,"exact",3544398,3544398],[3,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,1357824,"exact",1357824,1357824],[3,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,255255,"exact",255255,255255],[3,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,1215500,"exact",1215500,1215500],[3,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,714714,"exact",714714,714714],[3,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,268515,"exact",268515,268515],[3,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,60060,"exact",60060,60060],[3,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,6188,"exact",6188,6188],[3,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,1649340,"exact",1649340,1649340],[3,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,302940,"exact",302940,302940],[3,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,3198720,"exact",3198720,3198720],[3,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,3965760,"exact",3965760,3965760],[3,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,1458600,"exact",1458600,1458600],[3,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,251328,"exact",251328,251328],[3,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,3877632,"exact",3877632,3877632],[3,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,1145664,"exact",1145664,1145664],[3,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,3180870,"exact",3180870,3180870],[3,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,1790100,"exact",1790100,1790100],[3,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,612612,"exact",612612,612612],[3,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,106029,"exact",106029,106029],[3,18,"t","(5,2,2,2,2,2,1,1,1)",837760,837760,"exact",837760,837760],[3,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,656370,"exact",656370,656370],[3,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,339456,"exact",339456,339456],[3,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,116025,"exact",116025,116025],[3,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,24192,"exact",24192,24192],[3,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2380,"exact",2380,2380],[3,18,"t","(4,4,4,1,1,1,1,1,1)",779688,779688,"exact",779688,779688],[3,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,2970240,"exact",2970240,2970240],[3,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,848232,"exact",848232,848232],[3,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,1989000,"exact",1989000,1989000],[3,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,1099560,"exact",1099560,1099560],[3,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,363528,"exact",363528,363528],[3,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,58344,"exact",58344,58344],[3,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,1429428,"exact",1429428,1429428],[3,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,2625480,"exact",2625480,2625480],[3,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,1349460,"exact",1349460,1349460],[3,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,358020,"exact",358020,358020],[3,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,1531530,"exact",1531530,1531530],[3,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,1175040,"exact",1175040,1175040],[3,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,583440,"exact",583440,583440],[3,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,182784,"exact",182784,182784],[3,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,29835,"exact",29835,29835],[3,18,"t","(4,2,2,2,2,2,2,1,1)",340340,340340,"exact",340340,340340],[3,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,353430,"exact",353430,353430],[3,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,238680,"exact",238680,238680],[3,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,111384,"exact",111384,111384],[3,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,35343,"exact",35343,35343],[3,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,7020,"exact",7020,7020],[3,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,680,"exact",680,680],[3,18,"t","(3,3,3,3,2,1,1,1,1)",649740,649740,"exact",649740,649740],[3,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,259896,"exact",259896,259896],[3,18,"t","(3,3,3,2,2,2,1,1,1)",678912,678912,"exact",678912,678912],[3,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,501228,"exact",501228,501228],[3,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,228480,"exact",228480,228480],[3,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,56100,"exact",56100,56100],[3,18,"t","(3,3,2,2,2,2,2,1,1)",322218,322218,"exact",322218,322218],[3,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,331500,"exact",331500,331500],[3,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,219912,"exact",219912,219912],[3,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,99144,"exact",99144,99144],[3,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,29172,"exact",29172,29172],[3,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4641,"exact",4641,4641],[3,18,"t","(3,2,2,2,2,2,2,2,1)",70720,70720,"exact",70720,70720],[3,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,102102,"exact",102102,102102],[3,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,88128,"exact",88128,88128],[3,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,53040,"exact",53040,53040],[3,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,22848,"exact",22848,22848],[3,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6885,"exact",6885,6885],[3,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1344,"exact",1344,1344],[3,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[3,18,"t","(2,2,2,2,2,2,2,2,2)",4862,4862,"exact",4862,4862],[3,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,11934,"exact",11934,11934],[3,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,13260,"exact",13260,13260],[3,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,9996,"exact",9996,9996],[3,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,5508,"exact",5508,5508],[3,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,2244,"exact",2244,2244],[3,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,663,"exact",663,663],[3,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[3,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[3,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,18,"t","(17,1)",17,0,"exact",0,0],[3,18,"t","(16,2)",135,91,"upper bound",0,91],[3,18,"t","(16,1,1)",136,91,"upper bound",0,91],[3,18,"t","(15,3)",663,120,"lower bound",120,575],[3,18,"t","(15,1,1,1)",680,120,"lower bound",120,611],[3,18,"t","(15,2,1)",1344,240,"lower bound",240,1184],[3,18,"t","(14,4)",2244,869,"lower bound",869,2103],[3,18,"t","(14,1,1,1,1)",2380,1086,"lower bound",1086,2308],[3,18,"t","(14,2,2)",4641,1924,"lower bound",1924,4429],[3,18,"t","(9,9)",4862,3648,"lower bound",3648,4792],[3,18,"t","(13,5)",5508,3012,"lower bound",3012,5313],[3,18,"t","(13,1,1,1,1,1)",6188,4389,"lower bound",4389,6146],[3,18,"t","(14,3,1)",6885,2769,"lower bound",2769,6542],[3,18,"t","(14,2,1,1)",7020,2620,"lower bound",2620,6748],[3,18,"t","(12,6)",9996,6492,"lower bound",6492,9760],[3,18,"t","(10,8)",11934,8771,"lower bound",8771,11749],[3,18,"t","(12,1,1,1,1,1,1)",12376,10489,"lower bound",10489,12359],[3,18,"t","(11,7)",13260,9352,"lower bound",9352,13023],[3,18,"t","(11,1,1,1,1,1,1,1)",19448,17754,"lower bound",17754,19442],[3,18,"t","(10,2,1,1,1,1,1,1)",162162,126103,"lower bound",126103,162162],[3,18,"t","(10,2,2,1,1,1,1)",447525,284131,"lower bound",284131,447525],[3,18,"t","(10,2,2,2,1,1)",612612,350012,"lower bound",350012,612612],[3,18,"t","(10,2,2,2,2)",302940,170036,"lower bound",170036,302940],[3,18,"t","(10,3,1,1,1,1,1)",459459,284479,"lower bound",284479,459459],[3,18,"t","(10,3,2,1,1,1)",1357824,712287,"lower bound",712287,1357824],[3,18,"t","(10,3,2,2,1)",1458600,724861,"lower bound",724861,1458600],[3,18,"t","(10,3,3,1,1)",1145664,544873,"lower bound",544873,1145664],[3,18,"t","(10,3,3,2)",848232,400963,"lower bound",400963,848232],[3,18,"t","(10,4,1,1,1,1)",714714,382792,"lower bound",382792,714714],[3,18,"t","(10,4,2,1,1)",1790100,869535,"lower bound",869535,1790100],[3,18,"t","(10,4,2,2)",1099560,523985,"lower bound",523985,1099560],[3,18,"t","(10,4,3,1)",1349460,657351,"lower bound",657351,1349460],[3,18,"t","(10,4,4)",259896,143890,"lower bound",143890,259896],[3,18,"t","(10,5,1,1,1)",656370,346958,"lower bound",346958,656370],[3,18,"t","(10,5,2,1)",1175040,596197,"lower bound",596197,1175040],[3,18,"t","(10,5,3)",501228,277323,"lower bound",277323,501228],[3,18,"t","(10,6,1,1)",353430,199916,"lower bound",199916,353430],[3,18,"t","(10,6,2)",331500,188223,"lower bound",188223,331500],[3,18,"t","(10,7,1)",102102,63940,"lower bound",63940,102102],[3,18,"t","(11,2,1,1,1,1,1)",112320,76860,"lower bound",76860,112320],[3,18,"t","(11,2,2,1,1,1)",255255,143220,"lower bound",143220,255255],[3,18,"t","(11,2,2,2,1)",251328,134205,"lower bound",134205,251328],[3,18,"t","(11,3,1,1,1,1)",268515,145059,"lower bound",145059,268515],[3,18,"t","(11,3,2,1,1)",612612,297538,"lower bound",297538,612612],[3,18,"t","(11,3,2,2)",363528,176028,"lower bound",176028,363528],[3,18,"t","(11,3,3,1)",358020,171052,"lower bound",171052,358020],[3,18,"t","(11,4,1,1,1)",339456,167434,"lower bound",167434,339456],[3,18,"t","(11,4,2,1)",583440,280710,"lower bound",280710,583440],[3,18,"t","(11,4,3)",228480,119646,"lower bound",119646,228480],[3,18,"t","(11,5,1,1)",238680,123285,"lower bound",123285,238680],[3,18,"t","(11,5,2)",219912,116215,"lower bound",116215,219912],[3,18,"t","(11,6,1)",88128,51256,"lower bound",51256,88128],[3,18,"t","(12,2,1,1,1,1)",60060,35761,"lower bound",35761,60060],[3,18,"t","(12,2,2,1,1)",106029,54232,"lower bound",54232,106029],[3,18,"t","(12,2,2,2)",58344,29929,"lower bound",29929,58344],[3,18,"t","(12,3,1,1,1)",116025,56573,"lower bound",56573,116025],[3,18,"t","(12,3,2,1)",182784,87220,"lower bound",87220,182784],[3,18,"t","(12,3,3)",56100,28615,"lower bound",28615,56100],[3,18,"t","(12,4,1,1)",111384,53438,"lower bound",53438,111384],[3,18,"t","(12,4,2)",99144,49732,"lower bound",49732,99144],[3,18,"t","(12,5,1)",53040,28189,"lower bound",28189,53040],[3,18,"t","(13,2,1,1,1)",24192,12098,"lower bound",12098,24192],[3,18,"t","(13,2,2,1)",29835,14327,"lower bound",14327,29835],[3,18,"t","(13,3,1,1)",35343,16293,"lower bound",16293,35343],[3,18,"t","(13,3,2)",29172,14353,"lower bound",14353,29172],[3,18,"t","(13,4,1)",22848,11107,"lower bound",11107,22848],[3,18,"t","(3,3,2,2,2,2,2,2)",136136,117171,"lower bound",117171,136136],[3,18,"t","(3,3,3,2,2,2,2,1)",510510,424056,"lower bound",424056,510510],[3,18,"t","(3,3,3,3,2,2,1,1)",787644,643220,"lower bound",643220,787644],[3,18,"t","(3,3,3,3,2,2,2)",364650,293781,"lower bound",293781,364650],[3,18,"t","(3,3,3,3,3,1,1,1)",408408,331544,"lower bound",331544,408408],[3,18,"t","(3,3,3,3,3,2,1)",466752,372809,"lower bound",372809,466752],[3,18,"t","(3,3,3,3,3,3)",87516,69669,"lower bound",69669,87516],[3,18,"t","(4,2,2,2,2,2,2,2)",143208,120369,"lower bound",120369,143208],[3,18,"t","(4,3,2,2,2,2,2,1)",1131520,888727,"lower bound",888727,1131520],[3,18,"t","(4,3,3,2,2,2,1,1)",2923830,2216135,"lower bound",2216135,2923830],[3,18,"t","(4,3,3,2,2,2,2)",1312740,969966,"lower bound",969966,1312740],[3,18,"t","(4,3,3,3,2,1,1,1)",3055104,2279564,"lower bound",2279564,3055104],[3,18,"t","(4,3,3,3,2,2,1)",2756754,1986754,"lower bound",1986754,2756754],[3,18,"t","(4,3,3,3,3,1,1)",1575288,1126501,"lower bound",1126501,1575288],[3,18,"t","(4,3,3,3,3,2)",1021020,721456,"lower bound",721456,1021020],[3,18,"t","(4,4,2,2,2,2,1,1)",2148120,1574895,"lower bound",1574895,2148120],[3,18,"t","(4,4,2,2,2,2,2)",952952,676156,"lower bound",676156,952952],[3,18,"t","(4,4,3,2,2,1,1,1)",5012280,3588611,"lower bound",3588611,5012280],[3,18,"t","(4,4,3,2,2,2,1)",4200768,2862179,"lower bound",2862179,4200768],[3,18,"t","(4,4,3,3,1,1,1,1)",3007368,2135123,"lower bound",2135123,3007368],[3,18,"t","(4,4,3,3,2,1,1)",5250960,3518889,"lower bound",3518889,5250960],[3,18,"t","(4,4,3,3,2,2)",2756754,1806989,"lower bound",1806989,2756754],[3,18,"t","(4,4,3,3,3,1)",2042040,1333553,"lower bound",1333553,2042040],[3,18,"t","(4,4,4,2,1,1,1,1)",2598960,1818795,"lower bound",1818795,2598960],[3,18,"t","(4,4,4,2,2,1,1)",3675672,2400155,"lower bound",2400155,3675672],[3,18,"t","(4,4,4,2,2,2)",1823250,1157075,"lower bound",1157075,1823250],[3,18,"t","(4,4,4,3,1,1,1)",2858856,1853172,"lower bound",1853172,2858856],[3,18,"t","(4,4,4,3,2,1)",3734016,2349531,"lower bound",2349531,3734016],[3,18,"t","(4,4,4,3,3)",875160,550314,"lower bound",550314,875160],[3,18,"t","(4,4,4,4,1,1)",1021020,636495,"lower bound",636495,1021020],[3,18,"t","(4,4,4,4,2)",787644,490593,"lower bound",490593,787644],[3,18,"t","(5,2,2,2,2,2,2,1)",612612,476400,"lower bound",476400,612612],[3,18,"t","(5,3,2,2,2,2,1,1)",3403400,2473781,"lower bound",2473781,3403400],[3,18,"t","(5,3,2,2,2,2,2)",1503684,1061747,"lower bound",1061747,1503684],[3,18,"t","(5,3,3,2,2,1,1,1)",6432426,4512434,"lower bound",4512434,6432426],[3,18,"t","(5,3,3,2,2,2,1)",5346432,3582923,"lower bound",3582923,5346432],[3,18,"t","(5,3,3,3,1,1,1,1)",3646500,2520200,"lower bound",2520200,3646500],[3,18,"t","(5,3,3,3,2,1,1)",6265350,4093845,"lower bound",4093845,6265350],[3,18,"t","(5,3,3,3,2,2)",3267264,2091114,"lower bound",2091114,3267264],[3,18,"t","(5,3,3,3,3,1)",2362932,1498662,"lower bound",1498662,2362932],[3,18,"t","(5,4,2,2,2,1,1,1)",6126120,4215818,"lower bound",4215818,6126120],[3,18,"t","(5,4,2,2,2,2,1)",4950400,3224826,"lower bound",3224826,4950400],[3,18,"t","(5,4,3,2,1,1,1,1)",9801792,6619416,"lower bound",6619416,9801792],[3,18,"t","(5,4,3,2,2,1,1)",13366080,8391495,"lower bound",8391495,13366080],[3,18,"t","(5,4,3,2,2,2)",6534528,3980385,"lower bound",3980385,6534528],[3,18,"t","(5,4,3,3,1,1,1)",8486400,5250545,"lower bound",5250545,8486400],[3,18,"t","(5,4,3,3,2,1)",10720710,6401626,"lower bound",6401626,10720710],[3,18,"t","(5,4,3,3,3)",2333760,1379001,"lower bound",1379001,2333760],[3,18,"t","(5,4,4,1,1,1,1,1)",2858856,1913526,"lower bound",1913526,2858856],[3,18,"t","(5,4,4,2,1,1,1)",8019648,4884258,"lower bound",4884258,8019648],[3,18,"t","(5,4,4,2,2,1)",8270262,4822001,"lower bound",4822001,8270262],[3,18,"t","(5,4,4,3,1,1)",7088796,4101464,"lower bound",4101464,7088796],[3,18,"t","(5,4,4,3,2)",5105100,2925579,"lower bound",2925579,5105100],[3,18,"t","(5,4,4,4,1)",1867008,1065648,"lower bound",1065648,1867008],[3,18,"t","(5,5,2,2,1,1,1,1)",3978000,2655830,"lower bound",2655830,3978000],[3,18,"t","(5,5,2,2,2,1,1)",5012280,3070389,"lower bound",3070389,5012280],[3,18,"t","(5,5,2,2,2,2)",2382380,1404879,"lower bound",1404879,2382380],[3,18,"t","(5,5,3,1,1,1,1,1)",3508596,2333366,"lower bound",2333366,3508596],[3,18,"t","(5,5,3,2,1,1,1)",9165312,5491569,"lower bound",5491569,9165312],[3,18,"t","(5,5,3,2,2,1)",9189180,5228376,"lower bound",5228376,9189180],[3,18,"t","(5,5,3,3,1,1)",6534528,3672976,"lower bound",3672976,6534528],[3,18,"t","(5,5,3,3,2)",4594590,2540627,"lower bound",2540627,4594590],[3,18,"t","(5,5,4,1,1,1,1)",3508596,2085123,"lower bound",2085123,3508596],[3,18,"t","(5,5,4,2,1,1)",7876440,4376609,"lower bound",4376609,7876440],[3,18,"t","(5,5,4,2,2)",4594590,2499152,"lower bound",2499152,4594590],[3,18,"t","(5,5,4,3,1)",5105100,2771659,"lower bound",2771659,5105100],[3,18,"t","(5,5,4,4)",787644,429736,"lower bound",429736,787644],[3,18,"t","(5,5,5,1,1,1)",1429428,788206,"lower bound",788206,1429428],[3,18,"t","(5,5,5,2,1)",2333760,1245776,"lower bound",1245776,2333760],[3,18,"t","(5,5,5,3)",875160,467509,"lower bound",467509,875160],[3,18,"t","(6,2,2,2,2,2,1,1)",1272348,923535,"lower bound",923535,1272348],[3,18,"t","(6,2,2,2,2,2,2)",556920,393399,"lower bound",393399,556920],[3,18,"t","(6,3,2,2,2,1,1,1)",5361664,3637584,"lower bound",3637584,5361664],[3,18,"t","(6,3,2,2,2,2,1)",4288284,2766503,"lower bound",2766503,4288284],[3,18,"t","(6,3,3,2,1,1,1,1)",6872250,4509510,"lower bound",4509510,6872250],[3,18,"t","(6,3,3,2,2,1,1)",9189180,5610569,"lower bound",5610569,9189180],[3,18,"t","(6,3,3,2,2,2)",4455360,2644715,"lower bound",2644715,4455360],[3,18,"t","(6,3,3,3,1,1,1)",5469750,3257070,"lower bound",3257070,5469750],[3,18,"t","(6,3,3,3,2,1)",6789120,3897447,"lower bound",3897447,6789120],[3,18,"t","(6,3,3,3,3)",1429428,806114,"lower bound",806114,1429428],[3,18,"t","(6,4,2,2,1,1,1,1)",7634088,4980563,"lower bound",4980563,7634088],[3,18,"t","(6,4,2,2,2,1,1)",9529520,5717022,"lower bound",5717022,9529520],[3,18,"t","(6,4,2,2,2,2)",4511052,2612594,"lower bound",2612594,4511052],[3,18,"t","(6,4,3,1,1,1,1,1)",6361740,4109091,"lower bound",4109091,6361740],[3,18,"t","(6,4,3,2,1,1,1)",16336320,9489613,"lower bound",9489613,16336320],[3,18,"t","(6,4,3,2,2,1)",16243500,8970280,"lower bound",8970280,16243500],[3,18,"t","(6,4,3,3,1,1)",11277630,6111806,"lower bound",6111806,11277630],[3,18,"t","(6,4,3,3,2)",7876440,4200587,"lower bound",4200587,7876440],[3,18,"t","(6,4,4,1,1,1,1)",5105100,2923404,"lower bound",2923404,5105100],[3,18,"t","(6,4,4,2,1,1)",11277630,6024469,"lower bound",6024469,11277630],[3,18,"t","(6,4,4,2,2)",6534528,3417956,"lower bound",3417956,6534528],[3,18,"t","(6,4,4,3,1)",7088796,3682480,"lower bound",3682480,7088796],[3,18,"t","(6,4,4,4)",1021020,530516,"lower bound",530516,1021020],[3,18,"t","(6,5,2,1,1,1,1,1)",4230144,2772161,"lower bound",2772161,4230144],[3,18,"t","(6,5,2,2,1,1,1)",8576568,4967055,"lower bound",4967055,8576568],[3,18,"t","(6,5,2,2,2,1)",7920640,4296274,"lower bound",4296274,7920640],[3,18,"t","(6,5,3,1,1,1,1)",7876440,4524716,"lower bound",4524716,7876440],[3,18,"t","(6,5,3,2,1,1)",16243500,8590545,"lower bound",8590545,16243500],[3,18,"t","(6,5,3,2,2)",9189180,4718755,"lower bound",4718755,9189180],[3,18,"t","(6,5,3,3,1)",8270262,4199792,"lower bound",4199792,8270262],[3,18,"t","(6,5,4,1,1,1)",6789120,3587067,"lower bound",3587067,6789120],[3,18,"t","(6,5,4,2,1)",10720710,5440885,"lower bound",5440885,10720710],[3,18,"t","(6,5,4,3)",3734016,1882561,"lower bound",1882561,3734016],[3,18,"t","(6,5,5,1,1)",2362932,1226630,"lower bound",1226630,2362932],[3,18,"t","(6,5,5,2)",2042040,1046143,"lower bound",1046143,2042040],[3,18,"t","(6,6,1,1,1,1,1,1)",659736,453008,"lower bound",453008,659736],[3,18,"t","(6,6,2,1,1,1,1)",2784600,1636918,"lower bound",1636918,2784600],[3,18,"t","(6,6,2,2,1,1)",4511052,2384626,"lower bound",2384626,4511052],[3,18,"t","(6,6,2,2,2)",2382380,1204310,"lower bound",1204310,2382380],[3,18,"t","(6,6,3,1,1,1)",4455360,2358672,"lower bound",2358672,4455360],[3,18,"t","(6,6,3,2,1)",6534528,3268095,"lower bound",3268095,6534528],[3,18,"t","(6,6,3,3)",1823250,895239,"lower bound",895239,1823250],[3,18,"t","(6,6,4,1,1)",3267264,1682255,"lower bound",1682255,3267264],[3,18,"t","(6,6,4,2)",2756754,1391262,"lower bound",1391262,2756754],[3,18,"t","(6,6,5,1)",1021020,560305,"lower bound",560305,1021020],[3,18,"t","(6,6,6)",87516,56999,"lower bound",56999,87516],[3,18,"t","(7,2,2,2,2,1,1,1)",1575288,1092603,"lower bound",1092603,1575288],[3,18,"t","(7,2,2,2,2,2,1)",1233792,813443,"lower bound",813443,1233792],[3,18,"t","(7,3,2,2,1,1,1,1)",4862000,3174016,"lower bound",3174016,4862000],[3,18,"t","(7,3,2,2,2,1,1)",5937624,3560972,"lower bound",3560972,5937624],[3,18,"t","(7,3,2,2,2,2)",2784600,1615664,"lower bound",1615664,2784600],[3,18,"t","(7,3,3,1,1,1,1,1)",3281850,2094614,"lower bound",2094614,3281850],[3,18,"t","(7,3,3,2,1,1,1)",8078400,4595640,"lower bound",4595640,8078400],[3,18,"t","(7,3,3,2,2,1)",7876440,4250354,"lower bound",4250354,7876440],[3,18,"t","(7,3,3,3,1,1)",5105100,2664370,"lower bound",2664370,5105100],[3,18,"t","(7,3,3,3,2)",3508596,1797363,"lower bound",1797363,3508596],[3,18,"t","(7,4,2,1,1,1,1,1)",4725864,3045794,"lower bound",3045794,4725864],[3,18,"t","(7,4,2,2,1,1,1)",9382912,5322522,"lower bound",5322522,9382912],[3,18,"t","(7,4,2,2,2,1)",8576568,4564295,"lower bound",4564295,8576568],[3,18,"t","(7,4,3,1,1,1,1)",8078400,4498701,"lower bound",4498701,8078400],[3,18,"t","(7,4,3,2,1,1)",16336320,8347132,"lower bound",8347132,16336320],[3,18,"t","(7,4,3,2,2)",9165312,4552929,"lower bound",4552929,9165312],[3,18,"t","(7,4,3,3,1)",8019648,3905776,"lower bound",3905776,8019648],[3,18,"t","(7,4,4,1,1,1)",5469750,2766625,"lower bound",2766625,5469750],[3,18,"t","(7,4,4,2,1)",8486400,4118071,"lower bound",4118071,8486400],[3,18,"t","(7,4,4,3)",2858856,1372906,"lower bound",1372906,2858856],[3,18,"t","(7,5,1,1,1,1,1,1)",1432080,965772,"lower bound",965772,1432080],[3,18,"t","(7,5,2,1,1,1,1)",5937624,3409750,"lower bound",3409750,5937624],[3,18,"t","(7,5,2,2,1,1)",9529520,4921122,"lower bound",4921122,9529520],[3,18,"t","(7,5,2,2,2)",5012280,2482318,"lower bound",2482318,5012280],[3,18,"t","(7,5,3,1,1,1)",9189180,4722480,"lower bound",4722480,9189180],[3,18,"t","(7,5,3,2,1)",13366080,6500131,"lower bound",6500131,13366080],[3,18,"t","(7,5,3,3)",3675672,1753633,"lower bound",1753633,3675672],[3,18,"t","(7,5,4,1,1)",6265350,3125176,"lower bound",3125176,6265350],[3,18,"t","(7,5,4,2)",5250960,2573427,"lower bound",2573427,5250960],[3,18,"t","(7,5,5,1)",1575288,841599,"lower bound",841599,1575288],[3,18,"t","(7,6,1,1,1,1,1)",1233792,767462,"lower bound",767462,1233792],[3,18,"t","(7,6,2,1,1,1)",4288284,2317541,"lower bound",2317541,4288284],[3,18,"t","(7,6,2,2,1)",4950400,2469471,"lower bound",2469471,4950400],[3,18,"t","(7,6,3,1,1)",5346432,2723901,"lower bound",2723901,5346432],[3,18,"t","(7,6,3,2)",4200768,2073930,"lower bound",2073930,4200768],[3,18,"t","(7,6,4,1)",2756754,1476720,"lower bound",1476720,2756754],[3,18,"t","(7,6,5)",466752,296694,"lower bound",296694,466752],[3,18,"t","(7,7,1,1,1,1)",556920,335630,"lower bound",335630,556920],[3,18,"t","(7,7,2,1,1)",1503684,813714,"lower bound",813714,1503684],[3,18,"t","(7,7,2,2)",952952,488914,"lower bound",488914,952952],[3,18,"t","(7,7,3,1)",1312740,714936,"lower bound",714936,1312740],[3,18,"t","(7,7,4)",364650,229466,"lower bound",229466,364650],[3,18,"t","(8,2,2,2,1,1,1,1)",1225224,847045,"lower bound",847045,1225224],[3,18,"t","(8,2,2,2,2,1,1)",1432080,906215,"lower bound",906215,1432080],[3,18,"t","(8,2,2,2,2,2)",659736,404348,"lower bound",404348,659736],[3,18,"t","(8,3,2,1,1,1,1,1)",2489344,1651684,"lower bound",1651684,2489344],[3,18,"t","(8,3,2,2,1,1,1)",4725864,2738129,"lower bound",2738129,4725864],[3,18,"t","(8,3,2,2,2,1)",4230144,2300903,"lower bound",2300903,4230144],[3,18,"t","(8,3,3,1,1,1,1)",3281850,1832035,"lower bound",1832035,3281850],[3,18,"t","(8,3,3,2,1,1)",6361740,3230917,"lower bound",3230917,6361740],[3,18,"t","(8,3,3,2,2)",3508596,1732477,"lower bound",1732477,3508596],[3,18,"t","(8,3,3,3,1)",2858856,1360811,"lower bound",1360811,2858856],[3,18,"t","(8,4,1,1,1,1,1,1)",1225224,825825,"lower bound",825825,1225224],[3,18,"t","(8,4,2,1,1,1,1)",4862000,2757170,"lower bound",2757170,4862000],[3,18,"t","(8,4,2,2,1,1)",7634088,3888040,"lower bound",3888040,7634088],[3,18,"t","(8,4,2,2,2)",3978000,1952505,"lower bound",1952505,3978000],[3,18,"t","(8,4,3,1,1,1)",6872250,3427349,"lower bound",3427349,6872250],[3,18,"t","(8,4,3,2,1)",9801792,4633041,"lower bound",4633041,9801792],[3,18,"t","(8,4,3,3)",2598960,1199490,"lower bound",1199490,2598960],[3,18,"t","(8,4,4,1,1)",3646500,1744801,"lower bound",1744801,3646500],[3,18,"t","(8,4,4,2)",3007368,1418773,"lower bound",1418773,3007368],[3,18,"t","(8,5,1,1,1,1,1)",1575288,952680,"lower bound",952680,1575288],[3,18,"t","(8,5,2,1,1,1)",5361664,2805440,"lower bound",2805440,5361664],[3,18,"t","(8,5,2,2,1)",6126120,2975164,"lower bound",2975164,6126120],[3,18,"t","(8,5,3,1,1)",6432426,3159418,"lower bound",3159418,6432426],[3,18,"t","(8,5,3,2)",5012280,2399467,"lower bound",2399467,5012280],[3,18,"t","(8,5,4,1)",3055104,1577008,"lower bound",1577008,3055104],[3,18,"t","(8,5,5)",408408,250431,"lower bound",250431,408408],[3,18,"t","(8,6,1,1,1,1)",1272348,743499,"lower bound",743499,1272348],[3,18,"t","(8,6,2,1,1)",3403400,1789312,"lower bound",1789312,3403400],[3,18,"t","(8,6,2,2)",2148120,1076438,"lower bound",1076438,2148120],[3,18,"t","(8,6,3,1)",2923830,1548181,"lower bound",1548181,2923830],[3,18,"t","(8,6,4)",787644,481692,"lower bound",481692,787644],[3,18,"t","(8,7,1,1,1)",612612,366182,"lower bound",366182,612612],[3,18,"t","(8,7,2,1)",1131520,635519,"lower bound",635519,1131520],[3,18,"t","(8,7,3)",510510,311807,"lower bound",311807,510510],[3,18,"t","(8,8,1,1)",143208,89697,"lower bound",89697,143208],[3,18,"t","(8,8,2)",136136,84564,"lower bound",84564,136136],[3,18,"t","(9,2,2,1,1,1,1,1)",590733,424948,"lower bound",424948,590733],[3,18,"t","(9,2,2,2,1,1,1)",1018368,636981,"lower bound",636981,1018368],[3,18,"t","(9,2,2,2,2,1)",875160,516229,"lower bound",516229,875160],[3,18,"t","(9,3,1,1,1,1,1,1)",595595,421660,"lower bound",421660,595595],[3,18,"t","(9,3,2,1,1,1,1)",2144142,1258746,"lower bound",1258746,2144142],[3,18,"t","(9,3,2,2,1,1)",3222180,1698158,"lower bound",1698158,3222180],[3,18,"t","(9,3,2,2,2)",1649340,844042,"lower bound",844042,1649340],[3,18,"t","(9,3,3,1,1,1)",2333760,1172294,"lower bound",1172294,2333760],[3,18,"t","(9,3,3,2,1)",3198720,1525326,"lower bound",1525326,3198720],[3,18,"t","(9,3,3,3)",779688,359343,"lower bound",359343,779688],[3,18,"t","(9,4,1,1,1,1,1)",1089088,651634,"lower bound",651634,1089088],[3,18,"t","(9,4,2,1,1,1)",3544398,1820107,"lower bound",1820107,3544398],[3,18,"t","(9,4,2,2,1)",3965760,1907546,"lower bound",1907546,3965760],[3,18,"t","(9,4,3,1,1)",3877632,1846594,"lower bound",1846594,3877632],[3,18,"t","(9,4,3,2)",2970240,1391101,"lower bound",1391101,2970240],[3,18,"t","(9,4,4,1)",1429428,708756,"lower bound",708756,1429428],[3,18,"t","(9,5,1,1,1,1)",1215500,677091,"lower bound",677091,1215500],[3,18,"t","(9,5,2,1,1)",3180870,1600869,"lower bound",1600869,3180870],[3,18,"t","(9,5,2,2)",1989000,965301,"lower bound",965301,1989000],[3,18,"t","(9,5,3,1)",2625480,1331156,"lower bound",1331156,2625480],[3,18,"t","(9,5,4)",649740,379099,"lower bound",379099,649740],[3,18,"t","(9,6,1,1,1)",837760,476469,"lower bound",476469,837760],[3,18,"t","(9,6,2,1)",1531530,824146,"lower bound",824146,1531530],[3,18,"t","(9,6,3)",678912,397452,"lower bound",397452,678912],[3,18,"t","(9,7,1,1)",340340,205911,"lower bound",205911,340340],[3,18,"t","(9,7,2)",322218,193813,"lower bound",193813,322218],[3,18,"t","(9,8,1)",70720,46391,"lower bound",46391,70720],[3,19,"t","(18,1)",18,0,"exact",0,0],[3,19,"t","(17,2)",152,105,"upper bound",0,105],[3,19,"t","(17,1,1)",153,105,"upper bound",0,105],[3,19,"t","(16,3)",798,120,"lower bound",120,703],[3,19,"t","(16,1,1,1)",816,120,"lower bound",120,742],[3,19,"t","(16,2,1)",1615,240,"lower bound",240,1443],[3,19,"t","(15,4)",2907,989,"lower bound",989,2753],[3,19,"t","(15,1,1,1,1)",3060,1206,"lower bound",1206,2983],[3,19,"t","(15,2,2)",5985,2164,"lower bound",2164,5756],[3,19,"t","(14,5)",7752,3881,"lower bound",3881,7533],[3,19,"t","(14,1,1,1,1,1)",8568,5475,"lower bound",5475,8522],[3,19,"t","(15,3,1)",8892,3129,"lower bound",3129,8518],[3,19,"t","(15,2,1,1)",9044,2980,"lower bound",2980,8749],[3,19,"t","(13,6)",15504,9504,"lower bound",9504,15237],[3,19,"t","(10,9)",16796,12419,"lower bound",12419,16641],[3,19,"t","(13,1,1,1,1,1,1)",18564,14878,"lower bound",14878,18545],[3,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,19,"t","(19)",1,0,"exact",0,0],[3,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[3,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[3,20,"t","(19,1)",19,0,"exact",0,0],[3,20,"t","(18,2)",170,120,"upper bound",0,120],[3,20,"t","(18,1,1)",171,120,"upper bound",0,120],[3,20,"t","(17,3)",950,120,"lower bound",120,848],[3,20,"t","(17,1,1,1)",969,120,"lower bound",120,890],[3,20,"t","(17,2,1)",1920,240,"lower bound",240,1736],[3,20,"t","(16,4)",3705,1109,"lower bound",1109,3537],[3,20,"t","(16,1,1,1,1)",3876,1326,"lower bound",1326,3793],[3,20,"t","(16,2,2)",7600,2404,"lower bound",2404,7352],[3,20,"t","(15,5)",10659,4870,"lower bound",4870,10417],[3,20,"t","(16,3,1)",11305,3489,"lower bound",3489,10901],[3,20,"t","(16,2,1,1)",11475,3340,"lower bound",3340,11158],[3,20,"t","(15,1,1,1,1,1)",11628,6681,"lower bound",6681,11579],[3,20,"t","(10,10)",16796,12419,"lower bound",12419,16701],[3,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[3,20,"t","(20)",1,0,"exact",0,0],[3,21,"t","(20,1)",20,0,"exact",0,0],[3,21,"t","(19,2)",189,136,"upper bound",0,136],[3,21,"t","(19,1,1)",190,136,"upper bound",0,136],[3,21,"t","(18,3)",1120,120,"lower bound",120,1011],[3,21,"t","(18,1,1,1)",1140,120,"lower bound",120,1056],[3,21,"t","(18,2,1)",2261,240,"lower bound",240,2065],[3,21,"t","(17,4)",4655,1229,"lower bound",1229,4474],[3,21,"t","(17,1,1,1,1)",4845,1446,"lower bound",1446,4757],[3,21,"t","(17,2,2)",9520,2644,"lower bound",2644,9255],[3,21,"t","(17,3,1)",14175,3849,"lower bound",3849,13741],[3,21,"t","(16,5)",14364,5979,"lower bound",5979,14102],[3,21,"t","(17,2,1,1)",14364,3700,"lower bound",3700,14024],[3,21,"t","(16,1,1,1,1,1)",15504,8007,"lower bound",8007,15451],[3,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,21,"t","(21)",1,0,"exact",0,0],[3,22,"t","(21,1)",21,0,"exact",0,0],[3,22,"t","(20,2)",209,153,"upper bound",0,153],[3,22,"t","(20,1,1)",210,153,"upper bound",0,153],[3,22,"t","(19,3)",1309,120,"lower bound",120,1193],[3,22,"t","(19,1,1,1)",1330,120,"lower bound",120,1241],[3,22,"t","(19,2,1)",2640,240,"lower bound",240,2432],[3,22,"t","(18,4)",5775,1349,"lower bound",1349,5580],[3,22,"t","(18,1,1,1,1)",5985,1566,"lower bound",1566,5891],[3,22,"t","(18,2,2)",11781,2884,"lower bound",2884,11497],[3,22,"t","(18,3,1)",17556,4209,"lower bound",4209,17093],[3,22,"t","(18,2,1,1)",17765,4060,"lower bound",4060,17403],[3,22,"t","(17,5)",19019,7208,"lower bound",7208,18734],[3,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,22,"t","(22)",1,0,"exact",0,0],[3,23,"t","(22,1)",22,0,"exact",0,0],[3,23,"t","(21,2)",230,171,"upper bound",0,171],[3,23,"t","(21,1,1)",231,171,"upper bound",0,171],[3,23,"t","(20,3)",1518,120,"lower bound",120,1395],[3,23,"t","(20,1,1,1)",1540,120,"lower bound",120,1446],[3,23,"t","(20,2,1)",3059,240,"lower bound",240,2839],[3,23,"t","(19,4)",7084,1469,"lower bound",1469,6876],[3,23,"t","(19,1,1,1,1)",7315,1686,"lower bound",1686,7216],[3,23,"t","(19,2,2)",14421,3124,"lower bound",3124,14120],[3,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[3,23,"t","(23)",1,0,"exact",0,0],[3,24,"t","(23,1)",23,0,"exact",0,0],[3,24,"t","(22,2)",252,190,"upper bound",0,190],[3,24,"t","(22,1,1)",253,190,"upper bound",0,190],[3,24,"t","(21,3)",1748,120,"lower bound",120,1618],[3,24,"t","(21,1,1,1)",1771,120,"lower bound",120,1672],[3,24,"t","(21,2,1)",3520,240,"lower bound",240,3288],[3,24,"t","(20,4)",8602,1589,"lower bound",1589,8380],[3,24,"t","(20,1,1,1,1)",8855,1806,"lower bound",1806,8750],[3,24,"t","(20,2,2)",17480,3364,"lower bound",3364,17160],[3,24,"t","(24)",1,0,"exact",0,0],[3,25,"t","(24,1)",24,0,"exact",0,0],[3,25,"t","(23,2)",275,210,"upper bound",0,210],[3,25,"t","(23,1,1)",276,210,"upper bound",0,210],[3,25,"t","(22,3)",2000,120,"lower bound",120,1863],[3,25,"t","(22,1,1,1)",2024,120,"lower bound",120,1920],[3,25,"t","(22,2,1)",4025,240,"lower bound",240,3781],[3,25,"t","(21,4)",10350,1709,"lower bound",1709,10115],[3,25,"t","(21,1,1,1,1)",10626,1926,"lower bound",1926,10516],[3,25,"t","(25)",1,0,"exact",0,0],[3,26,"t","(25,1)",25,0,"exact",0,0],[3,26,"t","(24,2)",299,231,"upper bound",0,231],[3,26,"t","(24,1,1)",300,231,"upper bound",0,231],[3,26,"t","(23,3)",2275,120,"lower bound",120,2131],[3,26,"t","(23,1,1,1)",2300,120,"lower bound",120,2191],[3,26,"t","(23,2,1)",4576,240,"lower bound",240,4320],[3,26,"t","(22,4)",12350,1829,"lower bound",1829,12101],[3,26,"t","(22,1,1,1,1)",12650,2046,"lower bound",2046,12534],[3,26,"t","(26)",1,0,"exact",0,0],[3,27,"t","(26,1)",26,0,"exact",0,0],[3,27,"t","(25,2)",324,253,"upper bound",0,253],[3,27,"t","(25,1,1)",325,253,"upper bound",0,253],[3,27,"t","(24,3)",2574,120,"lower bound",120,2423],[3,27,"t","(24,1,1,1)",2600,120,"lower bound",120,2486],[3,27,"t","(24,2,1)",5175,240,"lower bound",240,4907],[3,27,"t","(23,4)",14625,1949,"lower bound",1949,14367],[3,27,"t","(23,1,1,1,1)",14950,2166,"lower bound",2166,14829],[3,27,"t","(27)",1,0,"exact",0,0],[3,28,"t","(27,1)",27,0,"exact",0,0],[3,28,"t","(26,2)",350,276,"upper bound",0,276],[3,28,"t","(26,1,1)",351,276,"upper bound",0,276],[3,28,"t","(25,3)",2898,120,"lower bound",120,2740],[3,28,"t","(25,1,1,1)",2925,120,"lower bound",120,2806],[3,28,"t","(25,2,1)",5824,240,"lower bound",240,5544],[3,28,"t","(24,4)",17199,2069,"lower bound",2069,16926],[3,28,"t","(24,1,1,1,1)",17550,2286,"lower bound",2286,17423],[3,28,"t","(28)",1,0,"exact",0,0],[3,29,"t","(28,1)",28,0,"exact",0,0],[3,29,"t","(27,2)",377,300,"upper bound",0,300],[3,29,"t","(27,1,1)",378,300,"upper bound",0,300],[3,29,"t","(26,3)",3248,120,"lower bound",120,3083],[3,29,"t","(26,1,1,1)",3276,120,"lower bound",120,3152],[3,29,"t","(26,2,1)",6525,240,"lower bound",240,6233],[3,29,"t","(29)",1,0,"exact",0,0],[3,30,"t","(29,1)",29,0,"exact",0,0],[3,30,"t","(28,2)",405,325,"upper bound",0,325],[3,30,"t","(28,1,1)",406,325,"upper bound",0,325],[3,30,"t","(27,3)",3625,120,"lower bound",120,3453],[3,30,"t","(27,1,1,1)",3654,120,"lower bound",120,3525],[3,30,"t","(27,2,1)",7280,240,"lower bound",240,6976],[3,30,"t","(30)",1,0,"exact",0,0],[3,31,"t","(30,1)",30,0,"exact",0,0],[3,31,"t","(29,2)",434,351,"upper bound",0,351],[3,31,"t","(29,1,1)",435,351,"upper bound",0,351],[3,31,"t","(28,3)",4030,120,"lower bound",120,3851],[3,31,"t","(28,1,1,1)",4060,120,"lower bound",120,3926],[3,31,"t","(28,2,1)",8091,240,"lower bound",240,7775]]}