{"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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bound",0,46091],[4,8,"f","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,8,"f","(2,1,1,1,1,1,1)",7,0,"exact",0,0],[4,8,"f","(2,2,1,1,1,1)",20,0,"exact",0,0],[4,8,"f","(2,2,2,1,1)",28,0,"exact",0,0],[4,8,"f","(2,2,2,2)",14,0,"exact",0,0],[4,8,"f","(3,1,1,1,1,1)",21,0,"exact",0,0],[4,8,"f","(3,2,1,1,1)",64,0,"exact",0,0],[4,8,"f","(3,2,2,1)",70,0,"exact",0,0],[4,8,"f","(3,3,1,1)",56,0,"exact",0,0],[4,8,"f","(3,3,2)",42,0,"exact",0,0],[4,8,"f","(4,1,1,1,1)",35,0,"exact",0,0],[4,8,"f","(4,2,1,1)",90,0,"exact",0,0],[4,8,"f","(4,2,2)",56,0,"exact",0,0],[4,8,"f","(4,3,1)",70,0,"exact",0,0],[4,8,"f","(4,4)",14,0,"exact",0,0],[4,8,"f","(5,1,1,1)",35,0,"exact",0,0],[4,8,"f","(5,2,1)",64,0,"exact",0,0],[4,8,"f","(5,3)",28,0,"exact",0,0],[4,8,"f","(6,1,1)",21,0,"exact",0,0],[4,8,"f","(6,2)",20,0,"exact",0,0],[4,8,"f","(7,1)",7,0,"exact",0,0],[4,8,"f","(8)",1,0,"exact",0,0],[4,9,"f","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,9,"f","(2,1,1,1,1,1,1,1)",8,3,"exact",3,3],[4,9,"f","(2,2,1,1,1,1,1)",27,1,"exact",1,1],[4,9,"f","(2,2,2,1,1,1)",48,0,"exact",0,0],[4,9,"f","(2,2,2,2,1)",42,0,"exact",0,0],[4,9,"f","(3,1,1,1,1,1,1)",28,1,"exact",1,1],[4,9,"f","(3,2,1,1,1,1)",105,0,"exact",0,0],[4,9,"f","(3,2,2,1,1)",162,0,"exact",0,0],[4,9,"f","(3,2,2,2)",84,0,"exact",0,0],[4,9,"f","(3,3,1,1,1)",120,0,"exact",0,0],[4,9,"f","(3,3,2,1)",168,0,"exact",0,0],[4,9,"f","(3,3,3)",42,0,"exact",0,0],[4,9,"f","(4,1,1,1,1,1)",56,0,"exact",0,0],[4,9,"f","(4,2,1,1,1)",189,0,"exact",0,0],[4,9,"f","(4,2,2,1)",216,0,"exact",0,0],[4,9,"f","(4,3,1,1)",216,0,"exact",0,0],[4,9,"f","(4,3,2)",168,0,"exact",0,0],[4,9,"f","(4,4,1)",84,0,"exact",0,0],[4,9,"f","(5,1,1,1,1)",70,0,"exact",0,0],[4,9,"f","(5,2,1,1)",189,0,"exact",0,0],[4,9,"f","(5,2,2)",120,0,"exact",0,0],[4,9,"f","(5,3,1)",162,0,"exact",0,0],[4,9,"f","(5,4)",42,0,"exact",0,0],[4,9,"f","(6,1,1,1)",56,0,"exact",0,0],[4,9,"f","(6,2,1)",105,0,"exact",0,0],[4,9,"f","(6,3)",48,0,"exact",0,0],[4,9,"f","(7,1,1)",28,0,"exact",0,0],[4,9,"f","(7,2)",27,0,"exact",0,0],[4,9,"f","(8,1)",8,0,"exact",0,0],[4,9,"f","(9)",1,0,"exact",0,0],[4,10,"f","(1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,10,"f","(2,1,1,1,1,1,1,1,1)",9,5,"exact",5,5],[4,10,"f","(2,2,1,1,1,1,1,1)",35,8,"exact",8,8],[4,10,"f","(2,2,2,1,1,1,1)",75,4,"exact",4,4],[4,10,"f","(2,2,2,2,1,1)",90,0,"exact",0,0],[4,10,"f","(2,2,2,2,2)",42,0,"exact",0,0],[4,10,"f","(3,1,1,1,1,1,1,1)",36,9,"exact",9,9],[4,10,"f","(3,2,1,1,1,1,1)",160,8,"exact",8,8],[4,10,"f","(3,2,2,1,1,1)",315,2,"exact",2,2],[4,10,"f","(3,2,2,2,1)",288,0,"exact",0,0],[4,10,"f","(3,3,1,1,1,1)",225,0,"exact",0,0],[4,10,"f","(3,3,2,1,1)",450,0,"exact",0,0],[4,10,"f","(3,3,2,2)",252,0,"exact",0,0],[4,10,"f","(3,3,3,1)",210,0,"exact",0,0],[4,10,"f","(4,1,1,1,1,1,1)",84,4,"exact",4,4],[4,10,"f","(4,2,1,1,1,1)",350,2,"exact",2,2],[4,10,"f","(4,2,2,1,1)",567,0,"exact",0,0],[4,10,"f","(4,2,2,2)",300,0,"exact",0,0],[4,10,"f","(4,3,1,1,1)",525,0,"exact",0,0],[4,10,"f","(4,3,2,1)",768,0,"exact",0,0],[4,10,"f","(4,3,3)",210,0,"exact",0,0],[4,10,"f","(4,4,1,1)",300,0,"exact",0,0],[4,10,"f","(4,4,2)",252,0,"exact",0,0],[4,10,"f","(5,1,1,1,1,1)",126,0,"exact",0,0],[4,10,"f","(5,2,1,1,1)",448,0,"exact",0,0],[4,10,"f","(5,2,2,1)",525,0,"exact",0,0],[4,10,"f","(5,3,1,1)",567,0,"exact",0,0],[4,10,"f","(5,3,2)",450,0,"exact",0,0],[4,10,"f","(5,4,1)",288,0,"exact",0,0],[4,10,"f","(5,5)",42,0,"exact",0,0],[4,10,"f","(6,1,1,1,1)",126,0,"exact",0,0],[4,10,"f","(6,2,1,1)",350,0,"exact",0,0],[4,10,"f","(6,2,2)",225,0,"exact",0,0],[4,10,"f","(6,3,1)",315,0,"exact",0,0],[4,10,"f","(6,4)",90,0,"exact",0,0],[4,10,"f","(7,1,1,1)",84,0,"exact",0,0],[4,10,"f","(7,2,1)",160,0,"exact",0,0],[4,10,"f","(7,3)",75,0,"exact",0,0],[4,10,"f","(8,1,1)",36,0,"exact",0,0],[4,10,"f","(8,2)",35,0,"exact",0,0],[4,10,"f","(9,1)",9,0,"exact",0,0],[4,10,"f","(10)",1,0,"exact",0,0],[4,11,"f","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,11,"f","(2,1,1,1,1,1,1,1,1,1)",10,7,"exact",7,7],[4,11,"f","(2,2,1,1,1,1,1,1,1)",44,18,"exact",18,18],[4,11,"f","(2,2,2,1,1,1,1,1)",110,22,"exact",22,22],[4,11,"f","(2,2,2,2,1,1,1)",165,11,"exact",11,11],[4,11,"f","(2,2,2,2,2,1)",132,1,"exact",1,1],[4,11,"f","(3,1,1,1,1,1,1,1,1)",45,19,"exact",19,19],[4,11,"f","(3,2,1,1,1,1,1,1)",231,46,"exact",46,46],[4,11,"f","(3,2,2,1,1,1,1)",550,36,"exact",36,36],[4,11,"f","(3,2,2,2,1,1)",693,10,"exact",10,10],[4,11,"f","(3,2,2,2,2)",330,0,"exact",0,0],[4,11,"f","(3,3,1,1,1,1,1)",385,23,"exact",23,23],[4,11,"f","(3,3,2,1,1,1)",990,11,"exact",11,11],[4,11,"f","(3,3,2,2,1)",990,1,"exact",1,1],[4,11,"f","(3,3,3,1,1)",660,1,"exact",1,1],[4,11,"f","(3,3,3,2)",462,0,"exact",0,0],[4,11,"f","(4,1,1,1,1,1,1,1)",120,25,"exact",25,25],[4,11,"f","(4,2,1,1,1,1,1)",594,37,"exact",37,37],[4,11,"f","(4,2,2,1,1,1)",1232,18,"exact",18,18],[4,11,"f","(4,2,2,2,1)",1155,3,"exact",3,3],[4,11,"f","(4,3,1,1,1,1)",1100,11,"exact",11,11],[4,11,"f","(4,3,2,1,1)",2310,2,"exact",2,2],[4,11,"f","(4,3,2,2)",1320,0,"exact",0,0],[4,11,"f","(4,3,3,1)",1188,0,"exact",0,0],[4,11,"f","(4,4,1,1,1)",825,1,"exact",1,1],[4,11,"f","(4,4,2,1)",1320,0,"exact",0,0],[4,11,"f","(4,4,3)",462,0,"exact",0,0],[4,11,"f","(5,1,1,1,1,1,1)",210,12,"exact",12,12],[4,11,"f","(5,2,1,1,1,1)",924,10,"exact",10,10],[4,11,"f","(5,2,2,2)",825,0,"exact",0,0],[4,11,"f","(5,3,1,1,1)",1540,1,"exact",1,1],[4,11,"f","(5,3,2,1)",2310,0,"exact",0,0],[4,11,"f","(5,3,3)",660,0,"exact",0,0],[4,11,"f","(5,4,1,1)",1155,0,"exact",0,0],[4,11,"f","(5,4,2)",990,0,"exact",0,0],[4,11,"f","(5,5,1)",330,0,"exact",0,0],[4,11,"f","(6,1,1,1,1,1)",252,1,"exact",1,1],[4,11,"f","(6,2,1,1,1)",924,0,"exact",0,0],[4,11,"f","(6,2,2,1)",1100,0,"exact",0,0],[4,11,"f","(6,3,1,1)",1232,0,"exact",0,0],[4,11,"f","(6,3,2)",990,0,"exact",0,0],[4,11,"f","(6,4,1)",693,0,"exact",0,0],[4,11,"f","(6,5)",132,0,"exact",0,0],[4,11,"f","(7,1,1,1,1)",210,0,"exact",0,0],[4,11,"f","(7,2,1,1)",594,0,"exact",0,0],[4,11,"f","(7,2,2)",385,0,"exact",0,0],[4,11,"f","(7,3,1)",550,0,"exact",0,0],[4,11,"f","(7,4)",165,0,"exact",0,0],[4,11,"f","(8,1,1,1)",120,0,"exact",0,0],[4,11,"f","(8,2,1)",231,0,"exact",0,0],[4,11,"f","(8,3)",110,0,"exact",0,0],[4,11,"f","(9,1,1)",45,0,"exact",0,0],[4,11,"f","(9,2)",44,0,"exact",0,0],[4,11,"f","(10,1)",10,0,"exact",0,0],[4,11,"f","(11)",1,0,"exact",0,0],[4,11,"f","(5,2,2,1,1)",1540,3,"exact",3,3],[4,12,"f","(3,1,1,1,1,1,1,1,1,1)",55,32,"exact",32,32],[4,12,"f","(3,2,1,1,1,1,1,1,1)",320,118,"exact",118,118],[4,12,"f","(3,2,2,1,1,1,1,1)",891,178,"exact",178,178],[4,12,"f","(3,2,2,2,1,1,1)",1408,125,"exact",125,125],[4,12,"f","(3,2,2,2,2,1)",1155,36,"exact",36,36],[4,12,"f","(3,3,1,1,1,1,1,1)",616,122,"exact",122,122],[4,12,"f","(3,3,2,1,1,1,1)",1925,156,"exact",156,156],[4,12,"f","(3,3,2,2,1,1)",2673,73,"exact",73,73],[4,12,"f","(3,3,2,2,2)",1320,9,"exact",9,9],[4,12,"f","(3,3,3,1,1,1)",1650,36,"exact",36,36],[4,12,"f","(3,3,3,2,1)",2112,12,"exact",12,12],[4,12,"f","(3,3,3,3)",462,1,"exact",1,1],[4,12,"f","(4,1,1,1,1,1,1,1,1)",165,62,"exact",62,62],[4,12,"f","(4,2,1,1,1,1,1,1)",945,186,"exact",186,186],[4,12,"f","(4,2,2,1,1,1,1)",2376,198,"exact",198,198],[4,12,"f","(4,2,2,2,1,1)",3080,91,"exact",91,91],[4,12,"f","(4,2,2,2,2)",1485,17,"exact",17,17],[4,12,"f","(4,3,1,1,1,1,1)",2079,160,"exact",160,160],[4,12,"f","(4,3,2,1,1,1)",5632,134,"exact",134,134],[4,12,"f","(4,3,2,2,1)",5775,36,"exact",36,36],[4,12,"f","(4,3,3,1,1)",4158,19,"exact",19,19],[4,12,"f","(4,3,3,2)",2970,3,"exact",3,3],[4,12,"f","(4,4,1,1,1,1)",1925,41,"exact",41,41],[4,12,"f","(4,4,2,1,1)",4455,19,"exact",19,19],[4,12,"f","(4,4,2,2)",2640,3,"exact",3,3],[4,12,"f","(4,4,3,1)",2970,0,"exact",0,0],[4,12,"f","(4,4,4)",462,0,"exact",0,0],[4,12,"f","(5,1,1,1,1,1,1,1)",330,67,"exact",67,67],[4,12,"f","(5,2,1,1,1,1,1)",1728,133,"exact",133,133],[4,12,"f","(5,2,2,1,1,1)",3696,95,"exact",95,95],[4,12,"f","(5,2,2,2,1)",3520,30,"exact",30,30],[4,12,"f","(5,3,1,1,1,1)",3564,70,"exact",70,70],[4,12,"f","(5,3,2,1,1)",7700,36,"exact",36,36],[4,12,"f","(5,3,2,2)",4455,4,"exact",4,4],[4,12,"f","(5,3,3,1)",4158,3,"exact",3,3],[4,12,"f","(5,4,1,1,1)",3520,12,"exact",12,12],[4,12,"f","(5,4,2,1)",5775,3,"exact",3,3],[4,12,"f","(5,4,3)",2112,0,"exact",0,0],[4,12,"f","(5,5,1,1)",1485,1,"exact",1,1],[4,12,"f","(5,5,2)",1320,0,"exact",0,0],[4,12,"f","(6,1,1,1,1,1,1)",462,32,"exact",32,32],[4,12,"f","(6,2,1,1,1,1)",2100,39,"exact",39,39],[4,12,"f","(6,2,2,1,1)",3564,17,"exact",17,17],[4,12,"f","(6,2,2,2)",1925,4,"exact",4,4],[4,12,"f","(6,3,1,1,1)",3696,9,"exact",9,9],[4,12,"f","(6,3,2,1)",5632,2,"exact",2,2],[4,12,"f","(6,3,3)",1650,0,"exact",0,0],[4,12,"f","(6,4,1,1)",3080,0,"exact",0,0],[4,12,"f","(6,4,2)",2673,0,"exact",0,0],[4,12,"f","(6,5,1)",1155,0,"exact",0,0],[4,12,"f","(6,6)",132,0,"exact",0,0],[4,12,"f","(7,1,1,1,1,1)",462,4,"exact",4,4],[4,12,"f","(7,2,1,1,1)",1728,2,"exact",2,2],[4,12,"f","(7,2,2,1)",2079,0,"exact",0,0],[4,12,"f","(7,3,1,1)",2376,0,"exact",0,0],[4,12,"f","(7,3,2)",1925,0,"exact",0,0],[4,12,"f","(7,4,1)",1408,0,"exact",0,0],[4,12,"f","(7,5)",297,0,"exact",0,0],[4,12,"f","(8,1,1,1,1)",330,0,"exact",0,0],[4,12,"f","(8,2,1,1)",945,0,"exact",0,0],[4,12,"f","(8,2,2)",616,0,"exact",0,0],[4,12,"f","(8,3,1)",891,0,"exact",0,0],[4,12,"f","(8,4)",275,0,"exact",0,0],[4,12,"f","(9,1,1,1)",165,0,"exact",0,0],[4,12,"f","(9,2,1)",320,0,"exact",0,0],[4,12,"f","(9,3)",154,0,"exact",0,0],[4,12,"f","(10,1,1)",55,0,"exact",0,0],[4,12,"f","(10,2)",54,0,"exact",0,0],[4,12,"f","(11,1)",11,0,"exact",0,0],[4,12,"f","(12)",1,0,"exact",0,0],[4,12,"f","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"f","(2,1,1,1,1,1,1,1,1,1,1)",11,9,"exact",9,9],[4,12,"f","(2,2,1,1,1,1,1,1,1,1)",54,31,"exact",31,31],[4,12,"f","(2,2,2,2,2,2)",132,5,"exact",5,5],[4,12,"f","(2,2,2,1,1,1,1,1,1)",154,57,"exact",57,57],[4,12,"f","(2,2,2,2,1,1,1,1)",275,58,"exact",58,58],[4,12,"f","(2,2,2,2,2,1,1)",297,28,"exact",28,28],[4,13,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"f","(13)",1,0,"exact",0,0],[4,13,"f","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"exact",11,11],[4,13,"f","(12,1)",12,0,"exact",0,0],[4,13,"f","(11,2)",65,0,"exact",0,0],[4,13,"f","(11,1,1)",66,0,"exact",0,0],[4,13,"f","(10,3)",208,0,"exact",0,0],[4,13,"f","(10,1,1,1)",220,0,"exact",0,0],[4,13,"f","(2,2,2,2,2,2,1)",429,66,"exact",66,66],[4,13,"f","(7,6)",429,0,"exact",0,0],[4,13,"f","(9,4)",429,0,"exact",0,0],[4,13,"f","(10,2,1)",429,0,"exact",0,0],[4,13,"f","(9,1,1,1,1)",495,0,"exact",0,0],[4,13,"f","(2,2,2,2,2,1,1,1)",572,144,"exact",144,144],[4,13,"f","(8,5)",572,0,"exact",0,0],[4,13,"f","(9,2,2)",936,0,"exact",0,0],[4,13,"f","(6,6,1)",1287,0,"exact",0,0],[4,13,"f","(9,3,1)",1365,0,"exact",0,0],[4,13,"f","(9,2,1,1)",1430,0,"exact",0,0],[4,13,"f","(5,4,4)",2574,0,"exact",0,0],[4,13,"f","(8,4,1)",2574,0,"exact",0,0],[4,13,"f","(7,5,1)",2860,0,"exact",0,0],[4,13,"f","(5,5,3)",3432,3,"exact",3,3],[4,13,"f","(8,3,2)",3432,0,"exact",0,0],[4,13,"f","(7,3,3)",3575,1,"exact",1,1],[4,13,"f","(5,2,2,2,2)",5005,142,"exact",142,142],[4,13,"f","(6,5,2)",5148,2,"exact",2,2],[4,13,"f","(6,5,1,1)",5720,8,"exact",8,8],[4,13,"f","(7,4,2)",6006,0,"exact",0,0],[4,13,"f","(6,4,3)",6435,3,"exact",3,3],[4,13,"f","(7,4,1,1)",6864,4,"exact",4,4],[4,13,"f","(5,5,2,1)",8580,25,"exact",25,25],[4,13,"f","(6,2,2,2,1)",9009,167,"exact",167,167],[4,13,"f","(5,2,2,2,1,1)",10296,528,"exact",528,528],[4,13,"f","(6,3,3,1)",11440,34,"exact",34,34],[4,13,"f","(5,3,3,2)",11583,63,"exact",63,63],[4,13,"f","(6,3,2,2)",12012,61,"exact",61,61],[4,13,"f","(7,3,2,1)",12012,20,"exact",20,20],[4,13,"f","(5,4,2,2)",12870,62,"exact",62,62],[4,13,"f","(5,4,3,1)",15015,44,"exact",44,44],[4,13,"f","(5,3,3,1,1)",16016,208,"exact",208,208],[4,13,"f","(6,4,2,1)",17160,39,"exact",39,39],[4,13,"f","(5,3,2,1,1,1)",20592,851,"exact",851,851],[4,13,"f","(6,3,2,1,1)",20592,238,"exact",238,238],[4,13,"f","(5,3,2,2,1)",21450,373,"exact",373,373],[4,13,"f","(5,4,2,1,1)",21450,259,"exact",259,259],[4,13,"f","(2,2,1,1,1,1,1,1,1,1,1)",65,47,"exact",47,47],[4,13,"f","(3,1,1,1,1,1,1,1,1,1,1)",66,48,"exact",48,48],[4,13,"f","(2,2,2,1,1,1,1,1,1,1)",208,113,"exact",113,113],[4,13,"f","(4,1,1,1,1,1,1,1,1,1)",220,120,"exact",120,120],[4,13,"f","(2,2,2,2,1,1,1,1,1)",429,164,"exact",164,164],[4,13,"f","(3,2,1,1,1,1,1,1,1,1)",429,233,"upper bound",232,233],[4,13,"f","(5,1,1,1,1,1,1,1,1)",495,184,"exact",184,184],[4,13,"f","(6,1,1,1,1,1,1,1)",792,170,"exact",170,170],[4,13,"f","(8,1,1,1,1,1)",792,13,"exact",13,13],[4,13,"f","(7,1,1,1,1,1,1)",924,80,"exact",80,80],[4,13,"f","(3,3,1,1,1,1,1,1,1)",936,347,"upper bound",344,347],[4,13,"f","(3,2,2,2,2,2)",1287,110,"exact",110,110],[4,13,"f","(3,2,2,1,1,1,1,1,1)",1365,509,"upper bound",507,509],[4,13,"f","(4,2,1,1,1,1,1,1,1)",1430,527,"upper bound",525,527],[4,13,"f","(3,2,2,2,1,1,1,1)",2574,602,"upper bound",598,602],[4,13,"f","(3,3,3,3,1)",2574,60,"exact",60,60],[4,13,"f","(3,2,2,2,2,1,1)",2860,385,"upper bound",380,385],[4,13,"f","(5,2,1,1,1,1,1,1)",3003,646,"exact",646,646],[4,13,"f","(8,2,1,1,1)",3003,13,"exact",13,13],[4,13,"f","(3,3,2,1,1,1,1,1)",3432,769,"upper bound",759,769],[4,13,"f","(3,3,3,2,2)",3432,93,"exact",93,93],[4,13,"f","(4,3,3,3)",3432,27,"exact",27,27],[4,13,"f","(4,4,4,1)",3432,8,"exact",8,8],[4,13,"f","(3,3,3,1,1,1,1)",3575,399,"exact",399,399],[4,13,"f","(4,3,1,1,1,1,1,1)",3640,788,"upper bound",781,788],[4,13,"f","(8,2,2,1)",3640,4,"exact",4,4],[4,13,"f","(4,4,1,1,1,1,1)",4004,408,"exact",408,408],[4,13,"f","(7,2,2,2)",4004,19,"exact",19,19],[4,13,"f","(4,2,2,1,1,1,1,1)",4212,932,"upper bound",928,932],[4,13,"f","(8,3,1,1)",4212,2,"exact",2,2],[4,13,"f","(6,2,1,1,1,1,1)",4290,419,"exact",419,419],[4,13,"f","(7,2,1,1,1,1)",4290,128,"exact",128,128],[4,13,"f","(5,5,1,1,1)",5005,48,"exact",48,48],[4,13,"f","(3,3,2,2,2,1)",5148,324,"exact",324,324],[4,13,"f","(4,2,2,2,2,1)",5720,362,"exact",362,362],[4,13,"f","(3,3,2,2,1,1,1)",6006,718,"upper bound",705,718],[4,13,"f","(3,3,3,2,1,1)",6435,333,"exact",333,333],[4,13,"f","(4,2,2,2,1,1,1)",6864,820,"upper bound",814,820],[4,13,"f","(5,3,1,1,1,1,1)",7371,738,"exact",738,738],[4,13,"f","(7,2,2,1,1)",7371,78,"exact",78,78],[4,13,"f","(5,2,2,1,1,1,1)",7800,842,"exact",842,842],[4,13,"f","(7,3,1,1,1)",7800,51,"exact",51,51],[4,13,"f","(4,3,2,2,2)",8580,224,"exact",224,224],[4,13,"f","(4,4,3,2)",8580,45,"exact",45,45],[4,13,"f","(5,4,1,1,1,1)",9009,321,"exact",321,321],[4,13,"f","(6,2,2,1,1,1)",9360,385,"exact",385,385],[4,13,"f","(6,3,1,1,1,1)",9360,315,"exact",315,315],[4,13,"f","(6,4,1,1,1)",10296,84,"exact",84,84],[4,13,"f","(4,3,3,1,1,1)",11440,492,"exact",492,492],[4,13,"f","(4,4,3,1,1)",11583,152,"exact",152,152],[4,13,"f","(4,3,2,1,1,1,1)",12012,1302,"exact",1302,1302],[4,13,"f","(4,4,2,1,1,1)",12012,505,"exact",505,505],[4,13,"f","(4,4,2,2,1)",12870,218,"exact",218,218],[4,13,"f","(4,3,3,2,1)",15015,266,"exact",266,266],[4,13,"f","(4,3,2,2,1,1)",17160,858,"exact",858,858],[4,14,"f","(14)",1,0,"exact",0,0],[4,14,"f","(13,1)",13,0,"exact",0,0],[4,14,"f","(12,2)",77,0,"exact",0,0],[4,14,"f","(12,1,1)",78,0,"exact",0,0],[4,14,"f","(11,3)",273,0,"exact",0,0],[4,14,"f","(11,1,1,1)",286,0,"exact",0,0],[4,14,"f","(11,2,1)",560,0,"exact",0,0],[4,14,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[4,14,"f","(2,2,1,1,1,1,1,1,1,1,1,1)",77,65,"exact",65,65],[4,14,"f","(3,1,1,1,1,1,1,1,1,1,1,1)",78,66,"exact",66,66],[4,14,"f","(2,2,2,1,1,1,1,1,1,1,1)",273,191,"exact",191,191],[4,14,"f","(4,1,1,1,1,1,1,1,1,1,1)",286,201,"exact",201,201],[4,14,"f","(2,2,2,2,2,2,2)",429,120,"upper bound",114,120],[4,14,"f","(7,7)",429,1,"exact",1,1],[4,14,"f","(3,2,1,1,1,1,1,1,1,1,1)",560,395,"upper bound",394,395],[4,14,"f","(2,2,2,2,1,1,1,1,1,1)",637,358,"upper bound",357,358],[4,14,"f","(10,4)",637,1,"exact",1,1],[4,14,"f","(5,1,1,1,1,1,1,1,1,1)",715,394,"upper bound",393,394],[4,14,"f","(10,1,1,1,1)",715,1,"exact",1,1],[4,14,"f","(2,2,2,2,2,1,1,1,1)",1001,436,"upper bound",434,436],[4,14,"f","(2,2,2,2,2,2,1,1)",1001,333,"upper bound",329,333],[4,14,"f","(8,6)",1001,1,"exact",1,1],[4,14,"f","(9,5)",1001,2,"exact",2,2],[4,14,"f","(6,1,1,1,1,1,1,1,1)",1287,507,"upper bound",505,507],[4,14,"f","(9,1,1,1,1,1)",1287,36,"exact",36,36],[4,14,"f","(3,3,1,1,1,1,1,1,1,1)",1365,751,"lower bound",751,761],[4,14,"f","(10,2,2)",1365,2,"exact",2,2],[4,14,"f","(7,1,1,1,1,1,1,1)",1716,415,"lower bound",415,417],[4,14,"f","(8,1,1,1,1,1,1)",1716,190,"lower bound",190,191],[4,14,"f","(3,2,2,1,1,1,1,1,1,1)",2002,1112,"lower bound",1112,1120],[4,14,"f","(10,3,1)",2002,3,"exact",3,3],[4,14,"f","(4,2,1,1,1,1,1,1,1,1)",2079,1144,"lower bound",1144,1153],[4,14,"f","(10,2,1,1)",2079,3,"exact",3,3],[4,14,"f","(3,2,2,2,1,1,1,1,1)",4368,1815,"lower bound",1815,2744],[4,14,"f","(9,4,1)",4368,8,"exact",8,8],[4,14,"f","(3,2,2,2,2,2,1)",4576,1005,"lower bound",1005,1067],[4,14,"f","(7,6,1)",4576,5,"upper bound",2,5],[4,14,"f","(5,2,1,1,1,1,1,1,1)",4928,1940,"lower bound",1940,2971],[4,14,"f","(9,2,1,1,1)",4928,56,"exact",56,56],[4,14,"f","(3,3,2,1,1,1,1,1,1)",5733,2313,"lower bound",2313,3555],[4,14,"f","(9,3,2)",5733,4,"lower bound",4,21],[4,14,"f","(3,2,2,2,2,1,1,1)",6006,1801,"lower bound",1801,3352],[4,14,"f","(3,3,3,3,2)",6006,352,"lower bound",352,571],[4,14,"f","(4,3,1,1,1,1,1,1,1)",6006,2371,"lower bound",2371,3663],[4,14,"f","(5,5,4)",6006,22,"lower bound",22,32],[4,14,"f","(8,5,1)",6006,1,"lower bound",1,8],[4,14,"f","(9,2,2,1)",6006,28,"lower bound",28,45],[4,14,"f","(3,3,2,2,2,2)",6435,871,"lower bound",871,1030],[4,14,"f","(6,6,2)",6435,16,"lower bound",16,19],[4,14,"f","(3,3,3,1,1,1,1,1)",7007,1864,"lower bound",1864,3758],[4,14,"f","(4,2,2,1,1,1,1,1,1)",7007,2811,"lower bound",2811,4304],[4,14,"f","(4,2,2,2,2,2)",7007,962,"lower bound",962,1081],[4,14,"f","(6,6,1,1)",7007,33,"lower bound",33,41],[4,14,"f","(8,3,3)",7007,11,"lower bound",11,22],[4,14,"f","(9,3,1,1)",7007,16,"lower bound",16,34],[4,14,"f","(4,4,1,1,1,1,1,1)",7644,1914,"lower bound",1914,3958],[4,14,"f","(8,2,2,2)",7644,92,"lower bound",92,111],[4,14,"f","(6,2,1,1,1,1,1,1)",8085,1998,"lower bound",1998,4037],[4,14,"f","(8,2,1,1,1,1)",8085,380,"lower bound",380,397],[4,14,"f","(3,3,3,3,1,1)",9009,793,"lower bound",793,1078],[4,14,"f","(6,4,4)",9009,28,"lower bound",28,34],[4,14,"f","(7,2,1,1,1,1,1)",9504,1200,"lower bound",1200,1226],[4,14,"f","(3,3,2,2,1,1,1,1)",12012,3314,"lower bound",3314,6522],[4,14,"f","(4,4,3,3)",12012,231,"lower bound",231,380],[4,14,"f","(4,4,4,2)",12012,196,"lower bound",196,317],[4,14,"f","(8,4,2)",12012,10,"lower bound",10,520],[4,14,"f","(4,2,2,2,1,1,1,1)",13650,3760,"lower bound",3760,7332],[4,14,"f","(8,4,1,1)",13650,35,"lower bound",35,60],[4,14,"f","(3,3,2,2,2,1,1)",14014,2584,"lower bound",2584,2834],[4,14,"f","(5,3,1,1,1,1,1,1)",14014,2917,"lower bound",2917,7170],[4,14,"f","(5,5,1,1,1,1)",14014,826,"lower bound",826,873],[4,14,"f","(6,2,2,2,2)",14014,768,"lower bound",768,823],[4,14,"f","(7,5,2)",14014,21,"lower bound",21,27],[4,14,"f","(8,2,2,1,1)",14014,293,"lower bound",293,331],[4,14,"f","(3,3,3,2,2,1)",15015,1555,"lower bound",1555,1990],[4,14,"f","(4,4,4,1,1)",15015,452,"lower bound",452,612],[4,14,"f","(5,2,2,1,1,1,1,1)",15015,2998,"lower bound",2998,7775],[4,14,"f","(5,3,3,3)",15015,312,"lower bound",312,422],[4,14,"f","(6,5,3)",15015,50,"lower bound",50,58],[4,14,"f","(8,3,1,1,1)",15015,218,"lower bound",218,257],[4,14,"f","(4,2,2,2,2,1,1)",15444,2848,"lower bound",2848,3030],[4,14,"f","(7,5,1,1)",15444,64,"lower bound",64,77],[4,14,"f","(3,3,3,2,1,1,1)",16016,2582,"lower bound",2582,2956],[4,14,"f","(7,4,3)",16016,36,"lower bound",36,49],[4,14,"f","(5,4,1,1,1,1,1)",20384,2581,"lower bound",2581,8939],[4,14,"f","(7,2,2,2,1)",20384,710,"lower bound",710,7171],[4,14,"f","(4,3,3,3,1)",21021,905,"lower bound",905,8453],[4,14,"f","(5,2,2,2,2,1)",21021,2178,"lower bound",2178,8972],[4,14,"f","(5,4,4,1)",21021,218,"lower bound",218,7615],[4,14,"f","(6,3,1,1,1,1,1)",21021,2496,"lower bound",2496,8974],[4,14,"f","(6,5,1,1,1)",21021,414,"lower bound",414,7321],[4,14,"f","(7,2,2,1,1,1)",21021,1328,"lower bound",1328,7754],[4,14,"f","(4,4,2,2,2)",21450,1148,"lower bound",1148,8662],[4,14,"f","(5,5,2,2)",21450,318,"lower bound",318,7760],[4,14,"f","(6,2,2,1,1,1,1)",21450,2775,"lower bound",2775,9321],[4,14,"f","(7,3,1,1,1,1)",21450,1139,"lower bound",1139,7724],[4,14,"f","(4,3,2,1,1,1,1,1)",23296,12269,"upper bound",3760,12269],[4,14,"f","(8,3,2,1)",23296,131,"lower bound",131,6802],[4,14,"f","(5,2,2,2,1,1,1)",24960,3020,"lower bound",3020,11460],[4,14,"f","(7,4,1,1,1)",24960,433,"lower bound",433,8278],[4,14,"f","(4,3,3,1,1,1,1)",27027,2997,"lower bound",2997,12438],[4,14,"f","(4,3,3,2,2)",27027,1470,"lower bound",1470,11045],[4,14,"f","(5,5,3,1)",27027,293,"lower bound",293,9654],[4,14,"f","(7,3,3,1)",27027,237,"lower bound",237,8909],[4,14,"f","(4,4,2,1,1,1,1)",28028,2978,"lower bound",2978,12750],[4,14,"f","(7,3,2,2)",28028,371,"lower bound",371,9380],[4,14,"f","(6,2,2,2,1,1)",28665,2083,"lower bound",2083,11444],[4,14,"f","(6,4,1,1,1,1)",28665,1569,"lower bound",1569,10864],[4,14,"f","(4,4,3,1,1,1)",35035,2125,"lower bound",2125,14441],[4,14,"f","(5,3,2,2,2)",35035,1894,"lower bound",1894,13915],[4,14,"f","(5,5,2,1,1)",35035,951,"lower bound",951,12929],[4,14,"f","(6,3,3,2)",35035,572,"lower bound",572,12545],[4,14,"f","(4,3,2,2,2,1)",36608,2262,"lower bound",2262,15952],[4,14,"f","(6,5,2,1)",36608,308,"lower bound",308,12438],[4,14,"f","(4,3,2,2,1,1,1)",42042,19679,"upper bound",3654,19679],[4,14,"f","(4,4,2,2,1,1)",42042,2079,"lower bound",2079,17618],[4,14,"f","(6,4,2,2)",42042,613,"lower bound",613,14845],[4,14,"f","(7,4,2,1)",42042,288,"lower bound",288,13591],[4,14,"f","(5,3,2,1,1,1,1)",47775,21397,"upper bound",3720,21397],[4,14,"f","(7,3,2,1,1)",47775,1055,"lower bound",1055,16317],[4,14,"f","(4,4,3,2,1)",48048,1618,"lower bound",1618,18929],[4,14,"f","(5,3,3,1,1,1)",48048,1694,"lower bound",1694,19457],[4,14,"f","(5,4,3,2)",48048,792,"lower bound",792,17748],[4,14,"f","(6,3,3,1,1)",48048,1267,"lower bound",1267,17549],[4,14,"f","(4,3,3,2,1,1)",50050,1902,"lower bound",1902,21229],[4,14,"f","(6,4,3,1)",50050,493,"lower bound",493,17432],[4,14,"f","(6,3,2,1,1,1)",59904,23271,"upper bound",1786,23271],[4,14,"f","(5,4,2,1,1,1)",63063,25232,"upper bound",1928,25232],[4,14,"f","(6,3,2,2,1)",63063,1351,"lower bound",1351,23415],[4,14,"f","(5,3,3,2,1)",64064,1403,"lower bound",1403,24807],[4,14,"f","(5,4,3,1,1)",64064,1388,"lower bound",1388,24137],[4,14,"f","(5,4,2,2,1)",68640,1352,"lower bound",1352,26257],[4,14,"f","(5,3,2,2,1,1)",69498,28656,"upper bound",2595,28656],[4,14,"f","(6,4,2,1,1)",69498,1112,"lower bound",1112,25021],[4,15,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,15,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[4,15,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,84,"exact",84,84],[4,15,"f","(2,2,2,1,1,1,1,1,1,1,1,1)",350,289,"exact",289,289],[4,15,"f","(2,2,2,2,1,1,1,1,1,1,1)",910,658,"lower bound",658,660],[4,15,"f","(2,2,2,2,2,1,1,1,1,1)",1638,1012,"lower bound",1012,1021],[4,15,"f","(2,2,2,2,2,2,1,1,1)",2002,1049,"lower bound",1049,1079],[4,15,"f","(2,2,2,2,2,2,2,1)",1430,652,"lower bound",652,692],[4,15,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,85,"exact",85,85],[4,15,"f","(3,2,1,1,1,1,1,1,1,1,1,1)",715,595,"exact",595,595],[4,15,"f","(3,2,2,1,1,1,1,1,1,1,1)",2835,2052,"lower bound",2052,2063],[4,15,"f","(3,2,2,2,1,1,1,1,1,1)",7007,4096,"lower bound",4096,6035],[4,15,"f","(3,2,2,2,2,1,1,1,1)",11375,4096,"lower bound",4096,10056],[4,15,"f","(3,2,2,2,2,2,1,1)",11583,3843,"lower bound",3843,8694],[4,15,"f","(3,2,2,2,2,2,2)",5005,1815,"lower bound",1815,2065],[4,15,"f","(3,3,1,1,1,1,1,1,1,1,1)",1925,1391,"lower bound",1391,1402],[4,15,"f","(3,3,2,1,1,1,1,1,1,1)",9100,4176,"lower bound",4176,7889],[4,15,"f","(3,3,2,2,1,1,1,1,1)",22113,7442,"lower bound",7442,19748],[4,15,"f","(3,3,2,2,2,1,1,1)",32032,7699,"lower bound",7699,23781],[4,15,"f","(3,3,2,2,2,2,1)",25025,4460,"lower bound",4460,14064],[4,15,"f","(3,3,3,1,1,1,1,1,1)",12740,4177,"lower bound",4177,11321],[4,15,"f","(3,3,3,2,1,1,1,1)",35035,7760,"lower bound",7760,25448],[4,15,"f","(3,3,3,2,2,1,1)",45045,6721,"lower bound",6721,24410],[4,15,"f","(3,3,3,2,2,2)",21450,3065,"lower bound",3065,6687],[4,15,"f","(3,3,3,3,1,1,1)",25025,3375,"lower bound",3375,13313],[4,15,"f","(3,3,3,3,2,1)",30030,2803,"lower bound",2803,15109],[4,15,"f","(3,3,3,3,3)",6006,786,"lower bound",786,1544],[4,15,"f","(4,1,1,1,1,1,1,1,1,1,1,1)",364,302,"exact",302,302],[4,15,"f","(4,2,1,1,1,1,1,1,1,1,1)",2925,2108,"lower bound",2108,2121],[4,15,"f","(4,2,2,1,1,1,1,1,1,1)",11088,5067,"lower bound",5067,9559],[4,15,"f","(4,2,2,2,1,1,1,1,1)",25025,8386,"lower bound",8386,22178],[4,15,"f","(4,2,2,2,2,1,1,1)",35100,8409,"lower bound",8409,25741],[4,15,"f","(4,2,2,2,2,2,1)",27027,4815,"lower bound",4815,14929],[4,15,"f","(4,3,1,1,1,1,1,1,1,1)",9450,4266,"lower bound",4266,8123],[4,15,"f","(4,3,2,1,1,1,1,1,1)",42042,11255,"lower bound",11255,36964],[4,15,"f","(4,3,2,2,1,1,1,1)",91000,14488,"lower bound",14488,77151],[4,15,"f","(4,3,2,2,2,1,1)",108108,11348,"lower bound",11348,80854],[4,15,"f","(4,3,2,2,2,2)",50050,4095,"lower bound",4095,36739],[4,15,"f","(4,3,3,1,1,1,1,1)",57330,8621,"lower bound",8621,48284],[4,15,"f","(4,3,3,2,1,1,1)",135135,11135,"lower bound",11135,105672],[4,15,"f","(4,3,3,2,2,1)",128700,7189,"lower bound",7189,98528],[4,15,"f","(4,3,3,3,1,1)",80080,3600,"lower bound",3600,60862],[4,15,"f","(4,3,3,3,2)",54054,2727,"lower bound",2727,40617],[4,15,"f","(4,4,1,1,1,1,1,1,1)",13650,4285,"lower bound",4285,11896],[4,15,"f","(4,4,2,1,1,1,1,1)",58968,8652,"lower bound",8652,49276],[4,15,"f","(4,4,2,2,1,1,1)",112112,8711,"lower bound",8711,90739],[4,15,"f","(4,4,2,2,2,1)",100100,5489,"lower bound",5489,79514],[4,15,"f","(4,4,3,1,1,1,1)",90090,8100,"lower bound",8100,72337],[4,15,"f","(4,4,3,2,1,1)",175175,7724,"lower bound",7724,137456],[4,15,"f","(4,4,3,2,2)",96525,4236,"lower bound",4236,74944],[4,15,"f","(4,4,3,3,1)",81081,2754,"lower bound",2754,58240],[4,15,"f","(4,4,4,1,1,1)",50050,2577,"lower bound",2577,33610],[4,15,"f","(4,4,4,2,1)",75075,2266,"lower bound",2266,47934],[4,15,"f","(4,4,4,3)",24024,1205,"lower bound",1205,9679],[4,15,"f","(5,1,1,1,1,1,1,1,1,1,1)",1001,716,"lower bound",716,720],[4,15,"f","(5,2,1,1,1,1,1,1,1,1)",7722,4096,"lower bound",4096,6578],[4,15,"f","(5,2,2,1,1,1,1,1,1)",26950,7749,"lower bound",7749,23401],[4,15,"f","(5,2,2,2,1,1,1,1)",53625,9778,"lower bound",9778,44777],[4,15,"f","(5,2,2,2,2,1,1)",61425,8046,"lower bound",8046,45429],[4,15,"f","(5,2,2,2,2,2)",28028,3140,"lower bound",3140,20306],[4,15,"f","(5,3,1,1,1,1,1,1,1)",24948,7228,"lower bound",7228,21551],[4,15,"f","(5,3,2,1,1,1,1,1)",100100,13395,"lower bound",13395,82719],[4,15,"f","(5,3,2,2,1,1,1)",184275,12989,"lower bound",12989,147244],[4,15,"f","(5,3,2,2,2,1)",162162,8929,"lower bound",8929,127071],[4,15,"f","(5,3,3,1,1,1,1)",122850,8411,"lower bound",8411,97367],[4,15,"f","(5,3,3,2,1,1)",231660,7594,"lower bound",7594,179279],[4,15,"f","(5,3,3,2,2)",126126,4767,"lower bound",4767,96550],[4,15,"f","(5,3,3,3,1)",100100,2620,"lower bound",2620,70787],[4,15,"f","(5,4,1,1,1,1,1,1)",42042,7412,"lower bound",7412,34364],[4,15,"f","(5,4,2,1,1,1,1)",159250,11207,"lower bound",11207,125154],[4,15,"f","(5,4,2,2,1,1)",243243,7954,"lower bound",7954,186567],[4,15,"f","(5,4,2,2,2)",125125,4394,"lower bound",4394,94909],[4,15,"f","(5,4,3,1,1,1)",210210,7135,"lower bound",7135,159844],[4,15,"f","(5,4,3,2,1)",292864,6553,"lower bound",6553,219368],[4,15,"f","(5,4,3,3)",75075,1335,"lower bound",1335,46091],[4,15,"f","(5,4,4,1,1)",100100,2058,"lower bound",2058,68842],[4,15,"f","(5,4,4,2)",81081,1206,"lower bound",1206,55232],[4,15,"f","(5,5,1,1,1,1,1)",34398,3407,"lower bound",3407,21970],[4,15,"f","(5,5,2,1,1,1)",112112,3705,"lower bound",3705,79393],[4,15,"f","(5,5,2,2,1)",125125,2621,"lower bound",2621,92271],[4,15,"f","(5,5,3,1,1)",126126,2632,"lower bound",2632,92207],[4,15,"f","(5,5,3,2)",96525,1403,"lower bound",1403,69972],[4,15,"f","(5,5,4,1)",54054,819,"lower bound",819,36617],[4,15,"f","(5,5,5)",6006,91,"lower bound",91,384],[4,15,"f","(6,1,1,1,1,1,1,1,1,1)",2002,1164,"lower bound",1164,1177],[4,15,"f","(6,2,1,1,1,1,1,1,1)",14300,4443,"lower bound",4443,11874],[4,15,"f","(6,2,2,1,1,1,1,1)",44550,7771,"lower bound",7771,35978],[4,15,"f","(6,2,2,2,1,1,1)",75075,7878,"lower bound",7878,58448],[4,15,"f","(6,2,2,2,2,1)",63700,5029,"lower bound",5029,43984],[4,15,"f","(6,3,1,1,1,1,1,1)",43120,7411,"lower bound",7411,34585],[4,15,"f","(6,3,2,1,1,1,1)",150150,10777,"lower bound",10777,115439],[4,15,"f","(6,3,2,2,1,1)",221130,7815,"lower bound",7815,165673],[4,15,"f","(6,3,2,2,2)",112112,4013,"lower bound",4013,78453],[4,15,"f","(6,3,3,1,1,1)",156000,4747,"lower bound",4747,115831],[4,15,"f","(6,3,3,2,1)",210210,4593,"lower bound",4593,153663],[4,15,"f","(6,3,3,3)",50050,1066,"lower bound",1066,30891],[4,15,"f","(6,4,1,1,1,1,1)",70070,6646,"lower bound",6646,53169],[4,15,"f","(6,4,2,1,1,1)",221130,6395,"lower bound",6395,162683],[4,15,"f","(6,4,2,2,1)",243243,4428,"lower bound",4428,176129],[4,15,"f","(6,4,3,1,1)",231660,4260,"lower bound",4260,166266],[4,15,"f","(6,4,3,2)",175175,2470,"lower bound",2470,124649],[4,15,"f","(6,4,4,1)",80080,835,"lower bound",835,53207],[4,15,"f","(6,5,1,1,1,1)",63700,2809,"lower bound",2809,41334],[4,15,"f","(6,5,2,1,1)",162162,2785,"lower bound",2785,114491],[4,15,"f","(6,5,2,2)",100100,1239,"lower bound",1239,70058],[4,15,"f","(6,5,3,1)",128700,1144,"lower bound",1144,84349],[4,15,"f","(6,5,4)",30030,404,"lower bound",404,10447],[4,15,"f","(6,6,1,1,1)",28028,1137,"lower bound",1137,16967],[4,15,"f","(6,6,2,1)",50050,908,"lower bound",908,29569],[4,15,"f","(6,6,3)",21450,256,"lower bound",256,7332],[4,15,"f","(7,1,1,1,1,1,1,1,1)",3003,1303,"lower bound",1303,1327],[4,15,"f","(7,2,1,1,1,1,1,1)",19305,3613,"lower bound",3613,11940],[4,15,"f","(7,2,2,1,1,1,1)",51975,5303,"lower bound",5303,35835],[4,15,"f","(7,2,2,2,1,1)",70070,4121,"lower bound",4121,50409],[4,15,"f","(7,2,2,2,2)",34398,1896,"lower bound",1896,19864],[4,15,"f","(7,3,1,1,1,1,1)",51975,4835,"lower bound",4835,35464],[4,15,"f","(7,3,2,1,1,1)",150150,5308,"lower bound",5308,106435],[4,15,"f","(7,3,2,2,1)",159250,3487,"lower bound",3487,110983],[4,15,"f","(7,3,3,1,1)",122850,2559,"lower bound",2559,84813],[4,15,"f","(7,3,3,2)",90090,1180,"lower bound",1180,61638],[4,15,"f","(7,4,1,1,1,1)",75075,3141,"lower bound",3141,52389],[4,15,"f","(7,4,2,1,1)",184275,2888,"lower bound",2888,125872],[4,15,"f","(7,4,2,2)",112112,1272,"lower bound",1272,75886],[4,15,"f","(7,4,3,1)",135135,1054,"lower bound",1054,85624],[4,15,"f","(7,4,4)",25025,277,"lower bound",277,8439],[4,15,"f","(7,5,1,1,1)",61425,1418,"lower bound",1418,36280],[4,15,"f","(7,5,2,1)",108108,681,"lower bound",681,62215],[4,15,"f","(7,5,3)",45045,463,"lower bound",463,15045],[4,15,"f","(7,6,1,1)",27027,353,"lower bound",353,8959],[4,15,"f","(7,6,2)",25025,183,"lower bound",183,8189],[4,15,"f","(7,7,1)",5005,20,"lower bound",20,104],[4,15,"f","(8,1,1,1,1,1,1,1)",3432,975,"lower bound",975,1000],[4,15,"f","(8,2,1,1,1,1,1)",19305,2553,"lower bound",2553,3499],[4,15,"f","(8,2,2,1,1,1)",43120,2001,"lower bound",2001,22480],[4,15,"f","(8,2,2,2,1)",42042,1705,"lower bound",1705,21279],[4,15,"f","(8,3,1,1,1,1)",44550,1737,"lower bound",1737,22797],[4,15,"f","(8,3,2,1,1)",100100,1697,"lower bound",1697,56055],[4,15,"f","(8,3,2,2)",58968,926,"lower bound",926,35310],[4,15,"f","(8,3,3,1)",57330,1027,"lower bound",1027,34132],[4,15,"f","(8,4,1,1,1)",53625,1062,"lower bound",1062,25790],[4,15,"f","(8,4,2,1)",91000,464,"lower bound",464,49997],[4,15,"f","(8,4,3)",35035,288,"lower bound",288,11678],[4,15,"f","(8,5,1,1)",35100,397,"lower bound",397,11196],[4,15,"f","(8,5,2)",32032,187,"lower bound",187,10587],[4,15,"f","(8,6,1)",11583,37,"lower bound",37,193],[4,15,"f","(8,7)",1430,9,"lower bound",9,16],[4,15,"f","(9,1,1,1,1,1,1)",3003,437,"lower bound",437,447],[4,15,"f","(9,2,1,1,1,1)",14300,1071,"lower bound",1071,1168],[4,15,"f","(9,2,2,1,1)",24948,904,"lower bound",904,7903],[4,15,"f","(9,2,2,2)",13650,389,"lower bound",389,544],[4,15,"f","(9,3,1,1,1)",26950,832,"lower bound",832,8382],[4,15,"f","(9,3,2,1)",42042,617,"lower bound",617,19370],[4,15,"f","(9,3,3)",12740,100,"lower bound",100,274],[4,15,"f","(9,4,1,1)",25025,255,"lower bound",255,7470],[4,15,"f","(9,4,2)",22113,118,"lower bound",118,7029],[4,15,"f","(9,5,1)",11375,38,"lower bound",38,161],[4,15,"f","(9,6)",2002,14,"lower bound",14,22],[4,15,"f","(10,1,1,1,1,1)",2002,91,"lower bound",91,92],[4,15,"f","(10,2,1,1,1)",7722,188,"lower bound",188,203],[4,15,"f","(10,2,2,1)",9450,148,"lower bound",148,180],[4,15,"f","(10,3,1,1)",11088,121,"lower bound",121,178],[4,15,"f","(10,3,2)",9100,70,"lower bound",70,126],[4,15,"f","(10,4,1)",7007,37,"lower bound",37,80],[4,15,"f","(10,5)",1638,13,"lower bound",13,17],[4,15,"f","(11,1,1,1,1)",1001,5,"exact",5,5],[4,15,"f","(11,2,1,1)",2925,15,"exact",15,15],[4,15,"f","(11,2,2)",1925,10,"exact",10,10],[4,15,"f","(11,3,1)",2835,15,"exact",15,15],[4,15,"f","(11,4)",910,5,"exact",5,5],[4,15,"f","(12,1,1,1)",364,0,"exact",0,0],[4,15,"f","(12,2,1)",715,0,"exact",0,0],[4,15,"f","(12,3)",350,0,"exact",0,0],[4,15,"f","(13,1,1)",91,0,"exact",0,0],[4,15,"f","(13,2)",90,0,"exact",0,0],[4,15,"f","(14,1)",14,0,"exact",0,0],[4,15,"f","(15)",1,0,"exact",0,0],[4,16,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,16,"f","(10,1,1,1,1,1,1)",5005,528,"lower bound",528,1015],[4,16,"f","(10,2,1,1,1,1)",24024,1350,"lower bound",1350,22110],[4,16,"f","(10,2,2,1,1)",42120,1240,"lower bound",1240,37890],[4,16,"f","(10,2,2,2)",23100,537,"lower bound",537,20565],[4,16,"f","(10,3,1,1,1)",45760,1141,"lower bound",1141,40380],[4,16,"f","(10,3,2,1)",71680,956,"lower bound",956,62160],[4,16,"f","(10,3,3)",21840,170,"lower bound",170,18540],[4,16,"f","(10,4,1,1)",43120,413,"lower bound",413,36330],[4,16,"f","(10,4,2)",38220,225,"lower bound",225,31815],[4,16,"f","(10,5,1)",20020,88,"lower bound",88,16035],[4,16,"f","(10,6)",3640,93,"lower bound",93,151],[4,16,"f","(11,1,1,1,1,1)",3003,211,"lower bound",211,241],[4,16,"f","(11,2,1,1,1)",11648,208,"lower bound",208,637],[4,16,"f","(11,2,2,1)",14300,173,"lower bound",173,659],[4,16,"f","(11,3,1,1)",16848,151,"lower bound",151,701],[4,16,"f","(11,3,2)",13860,95,"lower bound",95,525],[4,16,"f","(11,4,1)",10752,57,"lower bound",57,365],[4,16,"f","(11,5)",2548,56,"lower bound",56,75],[4,16,"f","(12,1,1,1,1)",1365,15,"exact",15,15],[4,16,"f","(12,2,1,1)",4004,45,"lower bound",45,150],[4,16,"f","(12,2,2)",2640,30,"lower bound",30,58],[4,16,"f","(12,3,1)",3900,45,"lower bound",45,165],[4,16,"f","(12,4)",1260,15,"exact",15,15],[4,16,"f","(13,1,1,1)",455,0,"exact",0,0],[4,16,"f","(13,2,1)",896,0,"exact",0,0],[4,16,"f","(13,3)",440,0,"exact",0,0],[4,16,"f","(14,1,1)",105,0,"exact",0,0],[4,16,"f","(14,2)",104,0,"exact",0,0],[4,16,"f","(15,1)",15,0,"exact",0,0],[4,16,"f","(16)",1,0,"exact",0,0],[4,16,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[4,16,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,101,"exact",101,101],[4,16,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,403,"exact",403,403],[4,16,"f","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1070,"lower bound",1070,1072],[4,16,"f","(2,2,2,2,2,1,1,1,1,1,1)",2548,1985,"lower bound",1985,2548],[4,16,"f","(2,2,2,2,2,2,1,1,1,1)",3640,2589,"lower bound",2589,3640],[4,16,"f","(2,2,2,2,2,2,2,1,1)",3432,2245,"lower bound",2245,3432],[4,16,"f","(2,2,2,2,2,2,2,2)",1430,889,"lower bound",889,953],[4,16,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,102,"exact",102,102],[4,16,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,824,"exact",824,824],[4,16,"f","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3323,"lower bound",3323,3900],[4,16,"f","(3,2,2,2,1,1,1,1,1,1,1)",10752,6806,"lower bound",6806,10752],[4,16,"f","(3,2,2,2,2,1,1,1,1,1)",20020,9204,"lower bound",9204,20020],[4,16,"f","(3,2,2,2,2,2,1,1,1)",24960,8988,"lower bound",8988,24960],[4,16,"f","(3,2,2,2,2,2,2,1)",18018,6310,"lower bound",6310,18018],[4,16,"f","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2255,"lower bound",2255,2262],[4,16,"f","(3,3,2,1,1,1,1,1,1,1,1)",13860,7619,"lower bound",7619,13860],[4,16,"f","(3,3,2,2,1,1,1,1,1,1)",38220,15714,"lower bound",15714,38220],[4,16,"f","(3,3,2,2,2,1,1,1,1)",65520,19237,"lower bound",19237,65520],[4,16,"f","(3,3,2,2,2,2,1,1)",68640,16002,"lower bound",16002,68640],[4,16,"f","(3,3,2,2,2,2,2)",30030,6275,"lower bound",6275,30030],[4,16,"f","(3,3,3,1,1,1,1,1,1,1)",21840,8353,"lower bound",8353,21840],[4,16,"f","(3,3,3,2,1,1,1,1,1)",69888,19379,"lower bound",19379,69888],[4,16,"f","(3,3,3,2,2,1,1,1)",112112,22180,"lower bound",22180,112112],[4,16,"f","(3,3,3,2,2,2,1)",91520,14246,"lower bound",14246,91520],[4,16,"f","(3,3,3,3,1,1,1,1)",60060,11135,"lower bound",11135,60060],[4,16,"f","(3,3,3,3,2,1,1)",100100,12899,"lower bound",12899,100100],[4,16,"f","(3,3,3,3,2,2)",51480,5868,"lower bound",5868,51480],[4,16,"f","(3,3,3,3,3,1)",36036,3589,"lower bound",3589,36036],[4,16,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,418,"lower bound",418,419],[4,16,"f","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,3407,"lower bound",3407,3492],[4,16,"f","(4,2,2,1,1,1,1,1,1,1,1)",16848,9227,"lower bound",9227,16848],[4,16,"f","(4,2,2,2,1,1,1,1,1,1)",43120,17549,"lower bound",17549,43120],[4,16,"f","(4,2,2,2,2,1,1,1,1)",71500,20891,"lower bound",20891,71500],[4,16,"f","(4,2,2,2,2,2,1,1)",73710,17067,"lower bound",17067,73710],[4,16,"f","(4,2,2,2,2,2,2)",32032,6630,"lower bound",6630,32032],[4,16,"f","(4,3,1,1,1,1,1,1,1,1,1)",14300,7765,"lower bound",7765,14300],[4,16,"f","(4,3,2,1,1,1,1,1,1,1)",71680,24764,"lower bound",24764,71680],[4,16,"f","(4,3,2,2,1,1,1,1,1)",180180,41571,"lower bound",41571,180180],[4,16,"f","(4,3,2,2,2,1,1,1)",266240,41944,"lower bound",41944,266240],[4,16,"f","(4,3,2,2,2,2,1)",210210,24718,"lower bound",24718,210210],[4,16,"f","(4,3,3,1,1,1,1,1,1)",112112,24053,"lower bound",24053,112112],[4,16,"f","(4,3,3,2,1,1,1,1)",318500,42004,"lower bound",42004,318500],[4,16,"f","(4,3,3,2,2,1,1)",416988,36393,"lower bound",36393,416988],[4,16,"f","(4,3,3,2,2,2)",200200,14349,"lower bound",14349,200200],[4,16,"f","(4,3,3,3,1,1,1)",240240,18110,"lower bound",18110,240236],[4,16,"f","(4,3,3,3,2,1)",292864,16319,"lower bound",16319,292856],[4,16,"f","(4,3,3,3,3)",60060,3513,"lower bound",3513,60056],[4,16,"f","(4,4,1,1,1,1,1,1,1,1)",23100,8551,"lower bound",8551,23100],[4,16,"f","(4,4,2,1,1,1,1,1,1)",114660,24192,"lower bound",24192,114660],[4,16,"f","(4,4,2,2,1,1,1,1)",262080,31851,"lower bound",31851,262080],[4,16,"f","(4,4,2,2,2,1,1)",320320,25548,"lower bound",25548,320320],[4,16,"f","(4,4,2,2,2,2)",150150,9584,"lower bound",9584,150150],[4,16,"f","(4,4,3,1,1,1,1,1)",206388,25373,"lower bound",25373,206388],[4,16,"f","(4,4,3,2,1,1,1)",512512,35670,"lower bound",35670,512492],[4,16,"f","(4,4,3,2,2,1)",500500,24638,"lower bound",24638,500460],[4,16,"f","(4,4,3,3,1,1)",336336,14078,"lower bound",14078,336282],[4,16,"f","(4,4,3,3,2)",231660,9717,"lower bound",9717,231606],[4,16,"f","(4,4,4,1,1,1,1)",140140,10677,"lower bound",10677,140120],[4,16,"f","(4,4,4,2,1,1)",300300,12567,"lower bound",12567,300210],[4,16,"f","(4,4,4,2,2)",171600,6502,"lower bound",6502,171530],[4,16,"f","(4,4,4,3,1)",180180,6225,"lower bound",6225,180072],[4,16,"f","(4,4,4,4)",24024,1205,"lower bound",1205,23997],[4,16,"f","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1154,"lower bound",1154,1162],[4,16,"f","(5,2,1,1,1,1,1,1,1,1,1)",11648,6920,"lower bound",6920,11648],[4,16,"f","(5,2,2,1,1,1,1,1,1,1)",45760,16912,"lower bound",16912,45760],[4,16,"f","(5,2,2,2,1,1,1,1,1)",105600,25913,"lower bound",25913,105600],[4,16,"f","(5,2,2,2,2,1,1,1)",150150,26233,"lower bound",26233,150150],[4,16,"f","(5,2,2,2,2,2,1)",116480,16001,"lower bound",16001,116480],[4,16,"f","(5,3,1,1,1,1,1,1,1,1)",42120,15590,"lower bound",15590,42120],[4,16,"f","(5,3,2,1,1,1,1,1,1)",194040,39627,"lower bound",39627,194040],[4,16,"f","(5,3,2,2,1,1,1,1)",429000,50650,"lower bound",50650,429000],[4,16,"f","(5,3,2,2,2,1,1)",515970,41312,"lower bound",41312,515970],[4,16,"f","(5,3,2,2,2,2)",240240,16164,"lower bound",16164,240240],[4,16,"f","(5,3,3,1,1,1,1,1)",280280,30427,"lower bound",30427,280280],[4,16,"f","(5,3,3,2,1,1,1)",673920,40129,"lower bound",40129,673884],[4,16,"f","(5,3,3,2,2,1)",648648,28479,"lower bound",28479,648576],[4,16,"f","(5,3,3,3,1,1)",411840,13814,"lower bound",13814,411750],[4,16,"f","(5,3,3,3,2)",280280,10114,"lower bound",10114,280190],[4,16,"f","(5,4,1,1,1,1,1,1,1)",80640,18925,"lower bound",18925,80640],[4,16,"f","(5,4,2,1,1,1,1,1)",360360,40666,"lower bound",40666,360360],[4,16,"f","(5,4,2,2,1,1,1)",698880,40861,"lower bound",40861,698820],[4,16,"f","(5,4,2,2,2,1)",630630,26766,"lower bound",26766,630510],[4,16,"f","(5,4,3,1,1,1,1)",582400,34853,"lower bound",34853,582260],[4,16,"f","(5,4,3,2,1,1)",1153152,36960,"lower bound",36960,1152576],[4,16,"f","(5,4,3,2,2)",640640,19950,"lower bound",19950,640204],[4,16,"f","(5,4,3,3,1)",549120,13262,"lower bound",13262,548580],[4,16,"f","(5,4,4,1,1,1)",360360,11770,"lower bound",11770,359970],[4,16,"f","(5,4,4,2,1)",549120,12083,"lower bound",12083,548268],[4,16,"f","(5,4,4,3)",180180,3746,"lower bound",3746,179775],[4,16,"f","(5,5,1,1,1,1,1,1)",76440,10819,"lower bound",10819,76440],[4,16,"f","(5,5,2,1,1,1,1)",305760,18319,"lower bound",18319,305620],[4,16,"f","(5,5,2,2,1,1)",480480,14280,"lower bound",14280,480030],[4,16,"f","(5,5,2,2,2)",250250,7015,"lower bound",7015,249940],[4,16,"f","(5,5,3,1,1,1)",448448,13472,"lower bound",13472,447762],[4,16,"f","(5,5,3,2,1)",640640,13209,"lower bound",13209,639244],[4,16,"f","(5,5,3,3)",171600,2738,"lower bound",2738,171060],[4,16,"f","(5,5,4,1,1)",280280,5509,"lower bound",5509,279260],[4,16,"f","(5,5,4,2)",231660,3428,"lower bound",3428,230649],[4,16,"f","(5,5,5,1)",60060,910,"lower bound",910,59615],[4,16,"f","(6,1,1,1,1,1,1,1,1,1,1)",3003,2260,"lower bound",2260,2491],[4,16,"f","(6,2,1,1,1,1,1,1,1,1)",24024,9703,"lower bound",9703,24024],[4,16,"f","(6,2,2,1,1,1,1,1,1)",85800,19963,"lower bound",19963,85800],[4,16,"f","(6,2,2,2,1,1,1,1)",173250,25427,"lower bound",25427,173250],[4,16,"f","(6,2,2,2,2,1,1)",200200,20953,"lower bound",20953,200200],[4,16,"f","(6,2,2,2,2,2)",91728,8169,"lower bound",8169,91728],[4,16,"f","(6,3,1,1,1,1,1,1,1)",82368,19082,"lower bound",19082,82368],[4,16,"f","(6,3,2,1,1,1,1,1)",337920,39354,"lower bound",39354,337920],[4,16,"f","(6,3,2,2,1,1,1)",630630,39459,"lower bound",39459,630546],[4,16,"f","(6,3,2,2,2,1)",559104,25786,"lower bound",25786,558936],[4,16,"f","(6,3,3,1,1,1,1)",429000,23935,"lower bound",23935,428840],[4,16,"f","(6,3,3,2,1,1)",819000,24749,"lower bound",24749,818370],[4,16,"f","(6,3,3,2,2)",448448,13373,"lower bound",13373,447978],[4,16,"f","(6,3,3,3,1)",360360,8279,"lower bound",8279,359820],[4,16,"f","(6,4,1,1,1,1,1,1)",155232,21469,"lower bound",21469,155232],[4,16,"f","(6,4,2,1,1,1,1)",600600,35025,"lower bound",35025,600240],[4,16,"f","(6,4,2,2,1,1)",928746,26592,"lower bound",26592,927612],[4,16,"f","(6,4,2,2,2)",480480,12835,"lower bound",12835,479706],[4,16,"f","(6,4,3,1,1,1)",819000,22537,"lower bound",22537,817380],[4,16,"f","(6,4,3,2,1)",1153152,22304,"lower bound",22304,1149912],[4,16,"f","(6,4,3,3)",300300,4871,"lower bound",4871,299085],[4,16,"f","(6,4,4,1,1)",411840,7153,"lower bound",7153,409926],[4,16,"f","(6,4,4,2)",336336,4511,"lower bound",4511,334464],[4,16,"f","(6,5,1,1,1,1,1)",168168,12862,"lower bound",12862,167888],[4,16,"f","(6,5,2,1,1,1)",559104,15694,"lower bound",15694,557160],[4,16,"f","(6,5,2,2,1)",630630,11073,"lower bound",11073,627606],[4,16,"f","(6,5,3,1,1)",648648,10821,"lower bound",10821,644538],[4,16,"f","(6,5,3,2)",500500,6256,"lower bound",6256,496715],[4,16,"f","(6,5,4,1)",292864,3202,"lower bound",3202,289736],[4,16,"f","(6,5,5)",36036,495,"lower bound",495,35421],[4,16,"f","(6,6,1,1,1,1)",91728,3946,"lower bound",3946,90972],[4,16,"f","(6,6,2,1,1)",240240,4830,"lower bound",4830,237480],[4,16,"f","(6,6,2,2)",150150,2147,"lower bound",2147,148155],[4,16,"f","(6,6,3,1)",200200,2308,"lower bound",2308,197030],[4,16,"f","(6,6,4)",51480,660,"lower bound",660,50370],[4,16,"f","(7,1,1,1,1,1,1,1,1,1)",5005,2467,"lower bound",2467,4531],[4,16,"f","(7,2,1,1,1,1,1,1,1)",36608,9359,"lower bound",9359,36608],[4,16,"f","(7,2,2,1,1,1,1,1)",115830,16687,"lower bound",16687,115830],[4,16,"f","(7,2,2,2,1,1,1)",197120,17302,"lower bound",17302,197064],[4,16,"f","(7,2,2,2,2,1)",168168,11046,"lower bound",11046,168056],[4,16,"f","(7,3,1,1,1,1,1,1)",114400,15859,"lower bound",15859,114400],[4,16,"f","(7,3,2,1,1,1,1)",404250,26223,"lower bound",26223,403830],[4,16,"f","(7,3,2,2,1,1)",600600,20731,"lower bound",20731,599340],[4,16,"f","(7,3,2,2,2)",305760,9396,"lower bound",9396,304920],[4,16,"f","(7,3,3,1,1,1)",429000,12614,"lower bound",12614,427570],[4,16,"f","(7,3,3,2,1)",582400,11819,"lower bound",11819,579660],[4,16,"f","(7,3,3,3)",140140,2246,"lower bound",2246,139195],[4,16,"f","(7,4,1,1,1,1,1)",197120,14622,"lower bound",14622,196640],[4,16,"f","(7,4,2,1,1,1)",630630,17732,"lower bound",17732,627480],[4,16,"f","(7,4,2,2,1)",698880,12075,"lower bound",12075,694092],[4,16,"f","(7,4,3,1,1)",673920,10761,"lower bound",10761,667884],[4,16,"f","(7,4,3,2)",512512,5976,"lower bound",5976,507044],[4,16,"f","(7,4,4,1)",240240,2166,"lower bound",2166,236670],[4,16,"f","(7,5,1,1,1,1)",200200,7368,"lower bound",7368,198140],[4,16,"f","(7,5,2,1,1)",515970,7772,"lower bound",7772,508620],[4,16,"f","(7,5,2,2)",320320,3192,"lower bound",3192,315056],[4,16,"f","(7,5,3,1)",416988,3342,"lower bound",3342,408861],[4,16,"f","(7,5,4)",100100,1144,"lower bound",1144,97465],[4,16,"f","(7,6,1,1,1)",116480,2908,"lower bound",2908,113360],[4,16,"f","(7,6,2,1)",210210,2125,"lower bound",2125,203595],[4,16,"f","(7,6,3)",91520,902,"lower bound",902,88120],[4,16,"f","(7,7,1,1)",32032,373,"lower bound",373,30268],[4,16,"f","(7,7,2)",30030,203,"lower bound",203,28245],[4,16,"f","(8,1,1,1,1,1,1,1,1)",6435,2278,"lower bound",2278,5561],[4,16,"f","(8,2,1,1,1,1,1,1)",42042,7141,"lower bound",7141,42042],[4,16,"f","(8,2,2,1,1,1,1)",114400,9857,"lower bound",9857,114120],[4,16,"f","(8,2,2,2,1,1)",155232,7827,"lower bound",7827,154476],[4,16,"f","(8,2,2,2,2)",76440,3601,"lower bound",3601,75964],[4,16,"f","(8,3,1,1,1,1,1)",115830,9125,"lower bound",9125,115290],[4,16,"f","(8,3,2,1,1,1)",337920,10743,"lower bound",10743,334800],[4,16,"f","(8,3,2,2,1)",360360,7815,"lower bound",7815,355848],[4,16,"f","(8,3,3,1,1)",280280,5283,"lower bound",5283,275786],[4,16,"f","(8,3,3,2)",206388,3133,"lower bound",3133,202461],[4,16,"f","(8,4,1,1,1,1)",173250,5940,"lower bound",5940,170460],[4,16,"f","(8,4,2,1,1)",429000,6111,"lower bound",6111,419580],[4,16,"f","(8,4,2,2)",262080,2662,"lower bound",2662,255480],[4,16,"f","(8,4,3,1)",318500,2833,"lower bound",2833,309085],[4,16,"f","(8,4,4)",60060,565,"lower bound",565,57705],[4,16,"f","(8,5,1,1,1)",150150,2877,"lower bound",2877,144740],[4,16,"f","(8,5,2,1)",266240,1729,"lower bound",1729,255040],[4,16,"f","(8,5,3)",112112,938,"lower bound",938,106582],[4,16,"f","(8,6,1,1)",73710,787,"lower bound",787,68865],[4,16,"f","(8,6,2)",68640,407,"lower bound",407,63780],[4,16,"f","(8,7,1)",18018,66,"lower bound",66,1372],[4,16,"f","(8,8)",1430,30,"lower bound",30,78],[4,16,"f","(9,1,1,1,1,1,1,1)",6435,1412,"lower bound",1412,4491],[4,16,"f","(9,2,1,1,1,1,1)",36608,4061,"lower bound",4061,36168],[4,16,"f","(9,2,2,1,1,1)",82368,3976,"lower bound",3976,80532],[4,16,"f","(9,2,2,2,1)",80640,2998,"lower bound",2998,78264],[4,16,"f","(9,3,1,1,1,1)",85800,3640,"lower bound",3640,83070],[4,16,"f","(9,3,2,1,1)",194040,4050,"lower bound",4050,185850],[4,16,"f","(9,3,2,2)",114660,1932,"lower bound",1932,109179],[4,16,"f","(9,3,3,1)",112112,1744,"lower bound",1744,105924],[4,16,"f","(9,4,1,1,1)",105600,2149,"lower bound",2149,99360],[4,16,"f","(9,4,2,1)",180180,1454,"lower bound",1454,167895],[4,16,"f","(9,4,3)",69888,506,"lower bound",506,64368],[4,16,"f","(9,5,1,1)",71500,690,"lower bound",690,64815],[4,16,"f","(9,5,2)",65520,343,"lower bound",343,58950],[4,16,"f","(9,6,1)",24960,89,"lower bound",89,21600],[4,16,"f","(9,7)",3432,78,"lower bound",78,167],[4,17,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,17,"f","(10,1,1,1,1,1,1,1)",11440,1940,"lower bound",1940,7442],[4,17,"f","(10,2,1,1,1,1,1)",65637,5939,"lower bound",5939,65043],[4,17,"f","(10,2,2,1,1,1)",148512,6566,"lower bound",6566,145992],[4,17,"f","(10,2,2,2,1)",145860,4775,"lower bound",4775,142575],[4,17,"f","(10,3,1,1,1,1)",155584,6131,"lower bound",6131,151800],[4,17,"f","(10,3,2,1,1)",353600,7387,"lower bound",7387,342120],[4,17,"f","(10,3,2,2)",209440,3425,"lower bound",3425,201720],[4,17,"f","(10,3,3,1)",205632,2870,"lower bound",2870,196848],[4,17,"f","(10,4,1,1,1)",194480,3703,"lower bound",3703,185590],[4,17,"f","(10,4,2,1)",333200,3048,"lower bound",3048,315560],[4,17,"f","(10,4,3)",129948,901,"lower bound",901,121947],[4,17,"f","(10,5,1,1)",134640,1191,"lower bound",1191,124800],[4,17,"f","(10,5,2)",123760,656,"lower bound",656,114040],[4,17,"f","(10,6,1)",48620,270,"lower bound",270,43455],[4,17,"f","(10,7)",7072,171,"lower bound",171,764],[4,17,"f","(11,1,1,1,1,1,1)",8008,739,"lower bound",739,2083],[4,17,"f","(11,2,1,1,1,1)",38675,1769,"lower bound",1769,36135],[4,17,"f","(11,2,2,1,1)",68068,1621,"lower bound",1621,62403],[4,17,"f","(11,2,2,2)",37400,710,"lower bound",710,33990],[4,17,"f","(11,3,1,1,1)",74256,1500,"lower bound",1500,66990],[4,17,"f","(11,3,2,1)",116688,1375,"lower bound",1375,103752],[4,17,"f","(11,3,3)",35700,265,"lower bound",265,31185],[4,17,"f","(11,4,1,1)",70720,621,"lower bound",621,61380],[4,17,"f","(11,4,2)",62832,377,"lower bound",377,53988],[4,17,"f","(11,5,1)",33320,201,"lower bound",201,27720],[4,17,"f","(11,6)",6188,149,"lower bound",149,515],[4,17,"f","(12,1,1,1,1,1)",4368,226,"lower bound",226,484],[4,17,"f","(12,2,1,1,1)",17017,268,"lower bound",268,1467],[4,17,"f","(12,2,2,1)",20944,248,"lower bound",248,15400],[4,17,"f","(12,3,1,1)",24752,241,"lower bound",241,17952],[4,17,"f","(12,3,2)",20400,170,"lower bound",170,14520],[4,17,"f","(12,4,1)",15912,117,"lower bound",117,991],[4,17,"f","(12,5)",3808,71,"lower bound",71,222],[4,17,"f","(13,1,1,1,1)",1820,15,"lower bound",15,35],[4,17,"f","(13,2,1,1)",5355,45,"lower bound",45,246],[4,17,"f","(13,2,2)",3536,30,"lower bound",30,158],[4,17,"f","(13,3,1)",5236,45,"lower bound",45,237],[4,17,"f","(13,4)",1700,15,"lower bound",15,35],[4,17,"f","(14,1,1,1)",560,0,"exact",0,0],[4,17,"f","(14,2,1)",1105,0,"exact",0,0],[4,17,"f","(14,3)",544,0,"exact",0,0],[4,17,"f","(15,1,1)",120,0,"exact",0,0],[4,17,"f","(15,2)",119,0,"exact",0,0],[4,17,"f","(16,1)",16,0,"exact",0,0],[4,17,"f","(17)",1,0,"exact",0,0],[4,17,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[4,17,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,116,"lower bound",116,118],[4,17,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,504,"lower bound",504,525],[4,17,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1473,"lower bound",1473,1700],[4,17,"f","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3055,"lower bound",3055,3808],[4,17,"f","(2,2,2,2,2,2,1,1,1,1,1)",6188,4574,"lower bound",4574,6188],[4,17,"f","(2,2,2,2,2,2,2,1,1,1)",7072,4834,"lower bound",4834,7072],[4,17,"f","(2,2,2,2,2,2,2,2,1)",4862,3134,"lower bound",3134,4862],[4,17,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,117,"lower bound",117,119],[4,17,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1027,"lower bound",1027,1105],[4,17,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,4550,"lower bound",4550,5236],[4,17,"f","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,11199,"lower bound",11199,15912],[4,17,"f","(3,2,2,2,2,1,1,1,1,1,1)",33320,17995,"lower bound",17995,33320],[4,17,"f","(3,2,2,2,2,2,1,1,1,1)",48620,20781,"lower bound",20781,48620],[4,17,"f","(3,2,2,2,2,2,2,1,1)",46410,17543,"lower bound",17543,46410],[4,17,"f","(3,2,2,2,2,2,2,2)",19448,7199,"lower bound",7199,19448],[4,17,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3079,"lower bound",3079,3536],[4,17,"f","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,13197,"lower bound",13197,20400],[4,17,"f","(3,3,2,2,1,1,1,1,1,1,1)",62832,30139,"lower bound",30139,62832],[4,17,"f","(3,3,2,2,2,1,1,1,1,1)",123760,44155,"lower bound",44155,123760],[4,17,"f","(3,3,2,2,2,2,1,1,1)",159120,44227,"lower bound",44227,159120],[4,17,"f","(3,3,2,2,2,2,2,1)",116688,28587,"lower bound",28587,116688],[4,17,"f","(3,3,3,1,1,1,1,1,1,1,1)",35700,15972,"lower bound",15972,35700],[4,17,"f","(3,3,3,2,1,1,1,1,1,1)",129948,43446,"lower bound",43446,129948],[4,17,"f","(3,3,3,2,2,1,1,1,1)",247520,60796,"lower bound",60796,247520],[4,17,"f","(3,3,3,2,2,2,1,1)",272272,52428,"lower bound",52428,272272],[4,17,"f","(3,3,3,2,2,2,2)",121550,20521,"lower bound",20521,121550],[4,17,"f","(3,3,3,3,1,1,1,1,1)",129948,30514,"lower bound",30514,129948],[4,17,"f","(3,3,3,3,2,1,1,1)",272272,46214,"lower bound",46214,272272],[4,17,"f","(3,3,3,3,2,2,1)",243100,33013,"lower bound",33013,243100],[4,17,"f","(3,3,3,3,3,1,1)",136136,16488,"lower bound",16488,136136],[4,17,"f","(3,3,3,3,3,2)",87516,9457,"lower bound",9457,87516],[4,17,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,520,"lower bound",520,542],[4,17,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,4649,"lower bound",4649,5355],[4,17,"f","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,15957,"lower bound",15957,24752],[4,17,"f","(4,2,2,2,1,1,1,1,1,1,1)",70720,33582,"lower bound",33582,70720],[4,17,"f","(4,2,2,2,2,1,1,1,1,1)",134640,47644,"lower bound",47644,134640],[4,17,"f","(4,2,2,2,2,2,1,1,1)",170170,46946,"lower bound",46946,170170],[4,17,"f","(4,2,2,2,2,2,2,1)",123760,30007,"lower bound",30007,123760],[4,17,"f","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,13427,"lower bound",13427,20944],[4,17,"f","(4,3,2,1,1,1,1,1,1,1,1)",116688,49375,"lower bound",49375,116688],[4,17,"f","(4,3,2,2,1,1,1,1,1,1)",333200,99598,"lower bound",99598,333200],[4,17,"f","(4,3,2,2,2,1,1,1,1)",583440,123643,"lower bound",123643,583440],[4,17,"f","(4,3,2,2,2,2,1,1)",618800,99731,"lower bound",99731,618800],[4,17,"f","(4,3,2,2,2,2,2)",272272,37623,"lower bound",37623,272272],[4,17,"f","(4,3,3,1,1,1,1,1,1,1)",205632,57170,"lower bound",57170,205632],[4,17,"f","(4,3,3,2,1,1,1,1,1)",680680,127007,"lower bound",127007,680680],[4,17,"f","(4,3,3,2,2,1,1,1)",1113840,142521,"lower bound",142521,1113840],[4,17,"f","(4,3,3,2,2,2,1)",918918,89706,"lower bound",89706,918918],[4,17,"f","(4,3,3,3,1,1,1,1)",618800,71249,"lower bound",71249,618800],[4,17,"f","(4,3,3,3,2,1,1)",1050192,83721,"lower bound",83721,1050192],[4,17,"f","(4,3,3,3,2,2)",544544,36536,"lower bound",36536,544544],[4,17,"f","(4,3,3,3,3,1)",388960,23421,"lower bound",23421,388960],[4,17,"f","(4,4,1,1,1,1,1,1,1,1,1)",37400,16316,"lower bound",16316,37400],[4,17,"f","(4,4,2,1,1,1,1,1,1,1)",209440,57507,"lower bound",57507,209440],[4,17,"f","(4,4,2,2,1,1,1,1,1)",556920,97614,"lower bound",97614,556920],[4,17,"f","(4,4,2,2,2,1,1,1)",848640,99343,"lower bound",99343,848640],[4,17,"f","(4,4,2,2,2,2,1)",680680,59850,"lower bound",59850,680680],[4,17,"f","(4,4,3,1,1,1,1,1,1)",433160,73618,"lower bound",73618,433160],[4,17,"f","(4,4,3,2,1,1,1,1)",1299480,134898,"lower bound",134898,1299480],[4,17,"f","(4,4,3,2,2,1,1)",1750320,122249,"lower bound",122249,1750320],[4,17,"f","(4,4,3,2,2,2)",850850,48571,"lower bound",48571,850850],[4,17,"f","(4,4,3,3,1,1,1)",1089088,67858,"lower bound",67858,1089082],[4,17,"f","(4,4,3,3,2,1)",1361360,64752,"lower bound",64752,1361348],[4,17,"f","(4,4,3,3,3)",291720,13230,"lower bound",13230,291714],[4,17,"f","(4,4,4,1,1,1,1,1)",346528,36050,"lower bound",36050,346528],[4,17,"f","(4,4,4,2,1,1,1)",952952,58914,"lower bound",58914,952942],[4,17,"f","(4,4,4,2,2,1)",972400,43707,"lower bound",43707,972380],[4,17,"f","(4,4,4,3,1,1)",816816,32870,"lower bound",32870,816780],[4,17,"f","(4,4,4,3,2)",583440,22444,"lower bound",22444,583404],[4,17,"f","(4,4,4,4,1)",204204,7430,"lower bound",7430,204177],[4,17,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1572,"lower bound",1572,1704],[4,17,"f","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,11481,"lower bound",11481,17017],[4,17,"f","(5,2,2,1,1,1,1,1,1,1,1)",74256,33059,"lower bound",33059,74256],[4,17,"f","(5,2,2,2,1,1,1,1,1,1)",194480,60374,"lower bound",60374,194480],[4,17,"f","(5,2,2,2,2,1,1,1,1)",327250,73037,"lower bound",73037,327250],[4,17,"f","(5,2,2,2,2,2,1,1)",340340,59301,"lower bound",59301,340340],[4,17,"f","(5,2,2,2,2,2,2)",148512,22631,"lower bound",22631,148512],[4,17,"f","(5,3,1,1,1,1,1,1,1,1,1)",68068,30275,"lower bound",30275,68068],[4,17,"f","(5,3,2,1,1,1,1,1,1,1)",353600,96893,"lower bound",96893,353600],[4,17,"f","(5,3,2,2,1,1,1,1,1)",908820,157761,"lower bound",157761,908820],[4,17,"f","(5,3,2,2,2,1,1,1)",1361360,160139,"lower bound",160139,1361360],[4,17,"f","(5,3,2,2,2,2,1)",1082900,98195,"lower bound",98195,1082900],[4,17,"f","(5,3,3,1,1,1,1,1,1)",586432,94107,"lower bound",94107,586432],[4,17,"f","(5,3,3,2,1,1,1,1)",1701700,163210,"lower bound",163210,1701700],[4,17,"f","(5,3,3,2,2,1,1)",2255526,146313,"lower bound",146313,2255526],[4,17,"f","(5,3,3,2,2,2)",1089088,58992,"lower bound",58992,1089088],[4,17,"f","(5,3,3,3,1,1,1)",1326000,72053,"lower bound",72053,1325990],[4,17,"f","(5,3,3,3,2,1)",1633632,68726,"lower bound",68726,1633612],[4,17,"f","(5,3,3,3,3)",340340,13627,"lower bound",13627,340330],[4,17,"f","(5,4,1,1,1,1,1,1,1,1)",145860,43066,"lower bound",43066,145860],[4,17,"f","(5,4,2,1,1,1,1,1,1)",749700,123410,"lower bound",123410,749700],[4,17,"f","(5,4,2,2,1,1,1,1)",1750320,164028,"lower bound",164028,1750320],[4,17,"f","(5,4,2,2,2,1,1)",2165800,134487,"lower bound",134487,2165800],[4,17,"f","(5,4,2,2,2,2)",1021020,52514,"lower bound",52514,1021020],[4,17,"f","(5,4,3,1,1,1,1,1)",1429428,131319,"lower bound",131319,1429428],[4,17,"f","(5,4,3,2,1,1,1)",3620864,188473,"lower bound",188473,3620800],[4,17,"f","(5,4,3,2,2,1)",3573570,136793,"lower bound",136793,3573442],[4,17,"f","(5,4,3,3,1,1)",2450448,78114,"lower bound",78114,2450268],[4,17,"f","(5,4,3,3,2)",1701700,53043,"lower bound",53043,1701520],[4,17,"f","(5,4,4,1,1,1,1)",1082900,57300,"lower bound",57300,1082830],[4,17,"f","(5,4,4,2,1,1)",2362932,73380,"lower bound",73380,2362608],[4,17,"f","(5,4,4,2,2)",1361360,38535,"lower bound",38535,1361106],[4,17,"f","(5,4,4,3,1)",1458600,35316,"lower bound",35316,1458195],[4,17,"f","(5,4,4,4)",204204,4951,"lower bound",4951,204096],[4,17,"f","(5,5,1,1,1,1,1,1,1)",157080,29744,"lower bound",29744,157080],[4,17,"f","(5,5,2,1,1,1,1,1)",742560,69804,"lower bound",69804,742560],[4,17,"f","(5,5,2,2,1,1,1)",1485120,73460,"lower bound",73460,1485070],[4,17,"f","(5,5,2,2,2,1)",1361360,48061,"lower bound",48061,1361260],[4,17,"f","(5,5,3,1,1,1,1)",1336608,66644,"lower bound",66644,1336482],[4,17,"f","(5,5,3,2,1,1)",2722720,77921,"lower bound",77921,2722180],[4,17,"f","(5,5,3,2,2)",1531530,40174,"lower bound",40174,1531116],[4,17,"f","(5,5,3,3,1)",1361360,29209,"lower bound",29209,1360820],[4,17,"f","(5,5,4,1,1,1)",1089088,30751,"lower bound",30751,1088612],[4,17,"f","(5,5,4,2,1)",1701700,34229,"lower bound",34229,1700625],[4,17,"f","(5,5,4,3)",583440,9912,"lower bound",9912,582900],[4,17,"f","(5,5,5,1,1)",340340,6419,"lower bound",6419,339895],[4,17,"f","(5,5,5,2)",291720,4338,"lower bound",4338,291260],[4,17,"f","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,3414,"lower bound",3414,4260],[4,17,"f","(6,2,1,1,1,1,1,1,1,1,1)",38675,18883,"lower bound",18883,38675],[4,17,"f","(6,2,2,1,1,1,1,1,1,1)",155584,46578,"lower bound",46578,155584],[4,17,"f","(6,2,2,2,1,1,1,1,1)",364650,71303,"lower bound",71303,364650],[4,17,"f","(6,2,2,2,2,1,1,1)",523600,72613,"lower bound",72613,523600],[4,17,"f","(6,2,2,2,2,2,1)",408408,45123,"lower bound",45123,408408],[4,17,"f","(6,3,1,1,1,1,1,1,1,1)",148512,44375,"lower bound",44375,148512],[4,17,"f","(6,3,2,1,1,1,1,1,1)",700128,118026,"lower bound",118026,700128],[4,17,"f","(6,3,2,2,1,1,1,1)",1570800,154890,"lower bound",154890,1570800],[4,17,"f","(6,3,2,2,2,1,1)",1905904,127510,"lower bound",127510,1905904],[4,17,"f","(6,3,2,2,2,2)",891072,50119,"lower bound",50119,891072],[4,17,"f","(6,3,3,1,1,1,1,1)",1047200,93716,"lower bound",93716,1047200],[4,17,"f","(6,3,3,2,1,1,1)",2552550,128272,"lower bound",128272,2552480],[4,17,"f","(6,3,3,2,2,1)",2475200,92387,"lower bound",92387,2475060],[4,17,"f","(6,3,3,3,1,1)",1591200,46842,"lower bound",46842,1591020],[4,17,"f","(6,3,3,3,2)",1089088,31766,"lower bound",31766,1088908],[4,17,"f","(6,4,1,1,1,1,1,1,1)",318240,59476,"lower bound",59476,318240],[4,17,"f","(6,4,2,1,1,1,1,1)",1454112,136514,"lower bound",136514,1454112],[4,17,"f","(6,4,2,2,1,1,1)",2858856,141937,"lower bound",141937,2858730],[4,17,"f","(6,4,2,2,2,1)",2598960,91979,"lower bound",91979,2598708],[4,17,"f","(6,4,3,1,1,1,1)",2431000,116350,"lower bound",116350,2430700],[4,17,"f","(6,4,3,2,1,1)",4873050,133142,"lower bound",133142,4871790],[4,17,"f","(6,4,3,2,2)",2722720,68462,"lower bound",68462,2721760],[4,17,"f","(6,4,3,3,1)",2362932,48716,"lower bound",48716,2361717],[4,17,"f","(6,4,4,1,1,1)",1591200,41460,"lower bound",41460,1590300],[4,17,"f","(6,4,4,2,1)",2450448,46051,"lower bound",46051,2448450],[4,17,"f","(6,4,4,3)",816816,13128,"lower bound",13128,815844],[4,17,"f","(6,5,1,1,1,1,1,1)",399840,45150,"lower bound",45150,399840],[4,17,"f","(6,5,2,1,1,1,1)",1633632,81900,"lower bound",81900,1633248],[4,17,"f","(6,5,2,2,1,1)",2598960,67639,"lower bound",67639,2597700],[4,17,"f","(6,5,2,2,2)",1361360,30923,"lower bound",30923,1360484],[4,17,"f","(6,5,3,1,1,1)",2475200,62524,"lower bound",62524,2473220],[4,17,"f","(6,5,3,2,1)",3573570,63663,"lower bound",63663,3569475],[4,17,"f","(6,5,3,3)",972400,13865,"lower bound",13865,970780],[4,17,"f","(6,5,4,1,1)",1633632,26685,"lower bound",26685,1630468],[4,17,"f","(6,5,4,2)",1361360,17397,"lower bound",17397,1358188],[4,17,"f","(6,5,5,1)",388960,4607,"lower bound",4607,387400],[4,17,"f","(6,6,1,1,1,1,1)",259896,16808,"lower bound",16808,259700],[4,17,"f","(6,6,2,1,1,1)",891072,24470,"lower bound",24470,889632],[4,17,"f","(6,6,2,2,1)",1021020,18050,"lower bound",18050,1018725],[4,17,"f","(6,6,3,1,1)",1089088,17959,"lower bound",17959,1085808],[4,17,"f","(6,6,3,2)",850850,10711,"lower bound",10711,847780],[4,17,"f","(6,6,4,1)",544544,6170,"lower bound",6170,541720],[4,17,"f","(6,6,5)",87516,1155,"lower bound",1155,86775],[4,17,"f","(7,1,1,1,1,1,1,1,1,1,1)",8008,4727,"lower bound",4727,7981],[4,17,"f","(7,2,1,1,1,1,1,1,1,1)",65637,21529,"lower bound",21529,65637],[4,17,"f","(7,2,2,1,1,1,1,1,1)",238238,46009,"lower bound",46009,238238],[4,17,"f","(7,2,2,2,1,1,1,1)",486200,59416,"lower bound",59416,486200],[4,17,"f","(7,2,2,2,2,1,1)",565488,49301,"lower bound",49301,565488],[4,17,"f","(7,2,2,2,2,2)",259896,19215,"lower bound",19215,259896],[4,17,"f","(7,3,1,1,1,1,1,1,1)",233376,44300,"lower bound",44300,233376],[4,17,"f","(7,3,2,1,1,1,1,1)",972400,98123,"lower bound",98123,972400],[4,17,"f","(7,3,2,2,1,1,1)",1832600,103715,"lower bound",103715,1832460],[4,17,"f","(7,3,2,2,2,1)",1633632,66959,"lower bound",66959,1633352],[4,17,"f","(7,3,3,1,1,1,1)",1262250,62772,"lower bound",62772,1261980],[4,17,"f","(7,3,3,2,1,1)",2431000,69913,"lower bound",69913,2429920],[4,17,"f","(7,3,3,2,2)",1336608,34588,"lower bound",34588,1335798],[4,17,"f","(7,3,3,3,1)",1082900,22344,"lower bound",22344,1081955],[4,17,"f","(7,4,1,1,1,1,1,1)",466752,51950,"lower bound",51950,466752],[4,17,"f","(7,4,2,1,1,1,1)",1832600,93602,"lower bound",93602,1831970],[4,17,"f","(7,4,2,2,1,1)",2858856,77130,"lower bound",77130,2856840],[4,17,"f","(7,4,2,2,2)",1485120,34306,"lower bound",34306,1483734],[4,17,"f","(7,4,3,1,1,1)",2552550,63644,"lower bound",63644,2549610],[4,17,"f","(7,4,3,2,1)",3620864,62935,"lower bound",62935,3614912],[4,17,"f","(7,4,3,3)",952952,13093,"lower bound",13093,950684],[4,17,"f","(7,4,4,1,1)",1326000,20080,"lower bound",20080,1322360],[4,17,"f","(7,4,4,2)",1089088,12653,"lower bound",12653,1085498],[4,17,"f","(7,5,1,1,1,1,1)",565488,34852,"lower bound",34852,564948],[4,17,"f","(7,5,2,1,1,1)",1905904,48566,"lower bound",48566,1902040],[4,17,"f","(7,5,2,2,1)",2165800,34112,"lower bound",34112,2159710],[4,17,"f","(7,5,3,1,1)",2255526,32696,"lower bound",32696,2247075],[4,17,"f","(7,5,3,2)",1750320,18766,"lower bound",18766,1742472],[4,17,"f","(7,5,4,1)",1050192,9854,"lower bound",9854,1043472],[4,17,"f","(7,5,5)",136136,1639,"lower bound",1639,134726],[4,17,"f","(7,6,1,1,1,1)",408408,14222,"lower bound",14222,406432],[4,17,"f","(7,6,2,1,1)",1082900,17635,"lower bound",17635,1075515],[4,17,"f","(7,6,2,2)",680680,7464,"lower bound",7464,675290],[4,17,"f","(7,6,3,1)",918918,8677,"lower bound",8677,910182],[4,17,"f","(7,6,4)",243100,2706,"lower bound",2706,239915],[4,17,"f","(7,7,1,1,1)",148512,3281,"lower bound",3281,146348],[4,17,"f","(7,7,2,1)",272272,2701,"lower bound",2701,267568],[4,17,"f","(7,7,3)",121550,1105,"lower bound",1105,119045],[4,17,"f","(8,1,1,1,1,1,1,1,1,1)",11440,4745,"lower bound",4745,10999],[4,17,"f","(8,2,1,1,1,1,1,1,1)",85085,18778,"lower bound",18778,85085],[4,17,"f","(8,2,2,1,1,1,1,1)",272272,33685,"lower bound",33685,272272],[4,17,"f","(8,2,2,2,1,1,1)",466752,34986,"lower bound",34986,466668],[4,17,"f","(8,2,2,2,2,1)",399840,22474,"lower bound",22474,399672],[4,17,"f","(8,3,1,1,1,1,1,1)",272272,32125,"lower bound",32125,272272],[4,17,"f","(8,3,2,1,1,1,1)",972400,55948,"lower bound",55948,971760],[4,17,"f","(8,3,2,2,1,1)",1454112,47116,"lower bound",47116,1452168],[4,17,"f","(8,3,2,2,2)",742560,20812,"lower bound",20812,741256],[4,17,"f","(8,3,3,1,1,1)",1047200,28640,"lower bound",28640,1044960],[4,17,"f","(8,3,3,2,1)",1429428,28050,"lower bound",28050,1425095],[4,17,"f","(8,3,3,3)",346528,5379,"lower bound",5379,345016],[4,17,"f","(8,4,1,1,1,1,1)",486200,29687,"lower bound",29687,485450],[4,17,"f","(8,4,2,1,1,1)",1570800,40526,"lower bound",40526,1565760],[4,17,"f","(8,4,2,2,1)",1750320,28663,"lower bound",28663,1742580],[4,17,"f","(8,4,3,1,1)",1701700,24988,"lower bound",24988,1691795],[4,17,"f","(8,4,3,2)",1299480,14604,"lower bound",14604,1290450],[4,17,"f","(8,4,4,1)",618800,5564,"lower bound",5564,612760],[4,17,"f","(8,5,1,1,1,1)",523600,16185,"lower bound",16185,520120],[4,17,"f","(8,5,2,1,1)",1361360,18489,"lower bound",18489,1348720],[4,17,"f","(8,5,2,2)",848640,7583,"lower bound",7583,839520],[4,17,"f","(8,5,3,1)",1113840,8842,"lower bound",8842,1099560],[4,17,"f","(8,5,4)",272272,2647,"lower bound",2647,267512],[4,17,"f","(8,6,1,1,1)",340340,6572,"lower bound",6572,334345],[4,17,"f","(8,6,2,1)",618800,5048,"lower bound",5048,605920],[4,17,"f","(8,6,3)",272272,2247,"lower bound",2247,265538],[4,17,"f","(8,7,1,1)",123760,1226,"lower bound",1226,119200],[4,17,"f","(8,7,2)",116688,676,"lower bound",676,112032],[4,17,"f","(8,8,1)",19448,96,"lower bound",96,3382],[4,17,"f","(9,1,1,1,1,1,1,1,1)",12870,3690,"lower bound",3690,11677],[4,17,"f","(9,2,1,1,1,1,1,1)",85085,12614,"lower bound",12614,85085],[4,17,"f","(9,2,2,1,1,1,1)",233376,17894,"lower bound",17894,232980],[4,17,"f","(9,2,2,2,1,1)",318240,14801,"lower bound",14801,317160],[4,17,"f","(9,2,2,2,2)",157080,6599,"lower bound",6599,156396],[4,17,"f","(9,3,1,1,1,1,1)",238238,16826,"lower bound",16826,237468],[4,17,"f","(9,3,2,1,1,1)",700128,22409,"lower bound",22409,695592],[4,17,"f","(9,3,2,2,1)",749700,16795,"lower bound",16795,743085],[4,17,"f","(9,3,3,1,1)",586432,11077,"lower bound",11077,579768],[4,17,"f","(9,3,3,2)",433160,6809,"lower bound",6809,427308],[4,17,"f","(9,4,1,1,1,1)",364650,11729,"lower bound",11729,360510],[4,17,"f","(9,4,2,1,1)",908820,13764,"lower bound",13764,894645],[4,17,"f","(9,4,2,2)",556920,6048,"lower bound",6048,546930],[4,17,"f","(9,4,3,1)",680680,6537,"lower bound",6537,666280],[4,17,"f","(9,4,4)",129948,1071,"lower bound",1071,126273],[4,17,"f","(9,5,1,1,1)",327250,5716,"lower bound",5716,318815],[4,17,"f","(9,5,2,1)",583440,4216,"lower bound",4216,565800],[4,17,"f","(9,5,3)",247520,1787,"lower bound",1787,238700],[4,17,"f","(9,6,1,1)",170170,1566,"lower bound",1566,162060],[4,17,"f","(9,6,2)",159120,839,"lower bound",839,150930],[4,17,"f","(9,7,1)",46410,233,"lower bound",233,42795],[4,17,"f","(9,8)",4862,108,"lower bound",108,611],[4,18,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,18,"f","(10,1,1,1,1,1,1,1,1)",24310,5630,"lower bound",5630,24310],[4,18,"f","(10,2,1,1,1,1,1,1)",162162,20493,"lower bound",20493,162162],[4,18,"f","(10,2,2,1,1,1,1)",447525,30399,"lower bound",30399,446985],[4,18,"f","(10,2,2,2,1,1)",612612,26142,"lower bound",26142,611127],[4,18,"f","(10,2,2,2,2)",302940,11374,"lower bound",11374,301995],[4,18,"f","(10,3,1,1,1,1,1)",459459,28896,"lower bound",28896,458403],[4,18,"f","(10,3,2,1,1,1)",1357824,42493,"lower bound",42493,1351504],[4,18,"f","(10,3,2,2,1)",1458600,32382,"lower bound",32382,1449320],[4,18,"f","(10,3,3,1,1)",1145664,21334,"lower bound",21334,1136232],[4,18,"f","(10,3,3,2)",848232,13104,"lower bound",13104,839916],[4,18,"f","(10,4,1,1,1,1)",714714,21563,"lower bound",21563,708862],[4,18,"f","(10,4,2,1,1)",1790100,27902,"lower bound",27902,1769835],[4,18,"f","(10,4,2,2)",1099560,12521,"lower bound",12521,1085210],[4,18,"f","(10,4,3,1)",1349460,13356,"lower bound",13356,1328607],[4,18,"f","(10,4,4)",259896,1972,"lower bound",1972,254492],[4,18,"f","(10,5,1,1,1)",656370,10610,"lower bound",10610,644019],[4,18,"f","(10,5,2,1)",1175040,9111,"lower bound",9111,1149000],[4,18,"f","(10,5,3)",501228,3344,"lower bound",3344,488079],[4,18,"f","(10,6,1,1)",353430,3027,"lower bound",3027,340995],[4,18,"f","(10,6,2)",331500,1765,"lower bound",1765,318875],[4,18,"f","(10,7,1)",102102,674,"lower bound",674,96168],[4,18,"f","(10,8)",11934,279,"lower bound",279,2513],[4,18,"f","(11,1,1,1,1,1,1,1)",19448,2679,"lower bound",2679,10744],[4,18,"f","(11,2,1,1,1,1,1)",112320,8447,"lower bound",8447,111540],[4,18,"f","(11,2,2,1,1,1)",255255,9956,"lower bound",9956,251900],[4,18,"f","(11,2,2,2,1)",251328,7106,"lower bound",7106,246928],[4,18,"f","(11,3,1,1,1,1)",268515,9400,"lower bound",9400,263439],[4,18,"f","(11,3,2,1,1)",612612,11883,"lower bound",11883,597069],[4,18,"f","(11,3,2,2)",363528,5510,"lower bound",5510,353034],[4,18,"f","(11,3,3,1)",358020,4510,"lower bound",4510,346005],[4,18,"f","(11,4,1,1,1)",339456,5824,"lower bound",5824,327272],[4,18,"f","(11,4,2,1)",583440,5421,"lower bound",5421,559108],[4,18,"f","(11,4,3)",228480,1543,"lower bound",1543,217360],[4,18,"f","(11,5,1,1)",238680,2013,"lower bound",2013,224862],[4,18,"f","(11,5,2)",219912,1234,"lower bound",1234,206206],[4,18,"f","(11,6,1)",88128,620,"lower bound",620,80652],[4,18,"f","(11,7)",13260,320,"lower bound",320,2343],[4,18,"f","(12,1,1,1,1,1,1)",12376,965,"lower bound",965,3966],[4,18,"f","(12,2,1,1,1,1)",60060,2263,"lower bound",2263,56771],[4,18,"f","(12,2,2,1,1)",106029,2137,"lower bound",2137,98637],[4,18,"f","(12,2,2,2)",58344,958,"lower bound",958,53878],[4,18,"f","(12,3,1,1,1)",116025,2009,"lower bound",2009,106480],[4,18,"f","(12,3,2,1)",182784,2034,"lower bound",2034,165704],[4,18,"f","(12,3,3)",56100,435,"lower bound",435,50105],[4,18,"f","(12,4,1,1)",111384,979,"lower bound",979,98934],[4,18,"f","(12,4,2)",99144,664,"lower bound",664,87318],[4,18,"f","(12,5,1)",53040,389,"lower bound",389,45452],[4,18,"f","(12,6)",9996,220,"lower bound",220,1341],[4,18,"f","(13,1,1,1,1,1)",6188,241,"lower bound",241,927],[4,18,"f","(13,2,1,1,1)",24192,328,"lower bound",328,18876],[4,18,"f","(13,2,2,1)",29835,323,"lower bound",323,22737],[4,18,"f","(13,3,1,1)",35343,331,"lower bound",331,26598],[4,18,"f","(13,3,2)",29172,245,"lower bound",245,21593],[4,18,"f","(13,4,1)",22848,177,"lower bound",177,16588],[4,18,"f","(13,5)",5508,86,"lower bound",86,490],[4,18,"f","(14,1,1,1,1)",2380,15,"lower bound",15,116],[4,18,"f","(14,2,1,1)",7020,45,"lower bound",45,408],[4,18,"f","(14,2,2)",4641,30,"lower bound",30,261],[4,18,"f","(14,3,1)",6885,45,"lower bound",45,396],[4,18,"f","(14,4)",2244,15,"lower bound",15,121],[4,18,"f","(15,1,1,1)",680,0,"exact",0,0],[4,18,"f","(15,2,1)",1344,0,"exact",0,0],[4,18,"f","(15,3)",663,0,"exact",0,0],[4,18,"f","(16,1,1)",136,0,"exact",0,0],[4,18,"f","(16,2)",135,0,"exact",0,0],[4,18,"f","(17,1)",17,0,"exact",0,0],[4,18,"f","(18)",1,0,"exact",0,0],[4,18,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[4,18,"f","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,132,"lower bound",132,135],[4,18,"f","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,620,"lower bound",620,663],[4,18,"f","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,1977,"lower bound",1977,2244],[4,18,"f","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,4528,"lower bound",4528,5508],[4,18,"f","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,7629,"lower bound",7629,9996],[4,18,"f","(2,2,2,2,2,2,2,1,1,1,1)",13260,9408,"lower bound",9408,13260],[4,18,"f","(2,2,2,2,2,2,2,2,1,1)",11934,7968,"lower bound",7968,11934],[4,18,"f","(2,2,2,2,2,2,2,2,2)",4862,3134,"lower bound",3134,4862],[4,18,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,133,"lower bound",133,136],[4,18,"f","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1260,"lower bound",1260,1344],[4,18,"f","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6081,"lower bound",6081,6885],[4,18,"f","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,17222,"lower bound",17222,22848],[4,18,"f","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,32249,"lower bound",32249,53040],[4,18,"f","(3,2,2,2,2,2,1,1,1,1,1)",88128,43350,"lower bound",43350,88128],[4,18,"f","(3,2,2,2,2,2,2,1,1,1)",102102,43158,"lower bound",43158,102102],[4,18,"f","(3,2,2,2,2,2,2,2,1)",70720,27876,"lower bound",27876,70720],[4,18,"f","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4106,"lower bound",4106,4641],[4,18,"f","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,20826,"lower bound",20826,29172],[4,18,"f","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,54535,"lower bound",54535,99144],[4,18,"f","(3,3,2,2,2,1,1,1,1,1,1)",219912,92289,"lower bound",92289,219912],[4,18,"f","(3,3,2,2,2,2,1,1,1,1)",331500,109163,"lower bound",109163,331500],[4,18,"f","(3,3,2,2,2,2,2,1,1)",322218,90357,"lower bound",90357,322218],[4,18,"f","(3,3,2,2,2,2,2,2)",136136,35786,"lower bound",35786,136136],[4,18,"f","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,29169,"lower bound",29169,56100],[4,18,"f","(3,3,3,2,1,1,1,1,1,1,1)",228480,89557,"lower bound",89557,228480],[4,18,"f","(3,3,3,2,2,1,1,1,1,1)",501228,148397,"lower bound",148397,501228],[4,18,"f","(3,3,3,2,2,2,1,1,1)",678912,157451,"lower bound",157451,678912],[4,18,"f","(3,3,3,2,2,2,2,1)",510510,101536,"lower bound",101536,510510],[4,18,"f","(3,3,3,3,1,1,1,1,1,1)",259896,73960,"lower bound",73960,259896],[4,18,"f","(3,3,3,3,2,1,1,1,1)",649740,137524,"lower bound",137524,649740],[4,18,"f","(3,3,3,3,2,2,1,1)",787644,131655,"lower bound",131655,787644],[4,18,"f","(3,3,3,3,2,2,2)",364650,53534,"lower bound",53534,364650],[4,18,"f","(3,3,3,3,3,1,1,1)",408408,62702,"lower bound",62702,408408],[4,18,"f","(3,3,3,3,3,2,1)",466752,58958,"lower bound",58958,466752],[4,18,"f","(3,3,3,3,3,3)",87516,9457,"lower bound",9457,87516],[4,18,"f","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,637,"lower bound",637,673],[4,18,"f","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,6196,"lower bound",6196,7020],[4,18,"f","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,25156,"lower bound",25156,35343],[4,18,"f","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,60738,"lower bound",60738,111384],[4,18,"f","(4,2,2,2,2,1,1,1,1,1,1)",238680,99221,"lower bound",99221,238680],[4,18,"f","(4,2,2,2,2,2,1,1,1,1)",353430,115371,"lower bound",115371,353430],[4,18,"f","(4,2,2,2,2,2,2,1,1)",340340,94496,"lower bound",94496,340340],[4,18,"f","(4,2,2,2,2,2,2,2)",143208,37206,"lower bound",37206,143208],[4,18,"f","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,21155,"lower bound",21155,29835],[4,18,"f","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,91956,"lower bound",91956,182784],[4,18,"f","(4,3,2,2,1,1,1,1,1,1,1)",583440,212694,"lower bound",212694,583440],[4,18,"f","(4,3,2,2,2,1,1,1,1,1)",1175040,315040,"lower bound",315040,1175040],[4,18,"f","(4,3,2,2,2,2,1,1,1)",1531530,314547,"lower bound",314547,1531530],[4,18,"f","(4,3,2,2,2,2,2,1)",1131520,195948,"lower bound",195948,1131520],[4,18,"f","(4,3,3,1,1,1,1,1,1,1,1)",358020,122517,"lower bound",122517,358020],[4,18,"f","(4,3,3,2,1,1,1,1,1,1)",1349460,327221,"lower bound",327221,1349460],[4,18,"f","(4,3,3,2,2,1,1,1,1)",2625480,453967,"lower bound",453967,2625480],[4,18,"f","(4,3,3,2,2,2,1,1)",2923830,384386,"lower bound",384386,2923830],[4,18,"f","(4,3,3,2,2,2,2)",1312740,147850,"lower bound",147850,1312740],[4,18,"f","(4,3,3,3,1,1,1,1,1)",1429428,228770,"lower bound",228770,1429428],[4,18,"f","(4,3,3,3,2,1,1,1)",3055104,343705,"lower bound",343705,3055104],[4,18,"f","(4,3,3,3,2,2,1)",2756754,242976,"lower bound",242976,2756754],[4,18,"f","(4,3,3,3,3,1,1)",1575288,123630,"lower bound",123630,1575288],[4,18,"f","(4,3,3,3,3,2)",1021020,69414,"lower bound",69414,1021020],[4,18,"f","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,29743,"lower bound",29743,58344],[4,18,"f","(4,4,2,1,1,1,1,1,1,1,1)",363528,123198,"lower bound",123198,363528],[4,18,"f","(4,4,2,2,1,1,1,1,1,1)",1099560,254719,"lower bound",254719,1099560],[4,18,"f","(4,4,2,2,2,1,1,1,1)",1989000,320600,"lower bound",320600,1989000],[4,18,"f","(4,4,2,2,2,2,1,1)",2148120,258924,"lower bound",258924,2148120],[4,18,"f","(4,4,2,2,2,2,2)",952952,97473,"lower bound",97473,952952],[4,18,"f","(4,4,3,1,1,1,1,1,1,1)",848232,188295,"lower bound",188295,848232],[4,18,"f","(4,4,3,2,1,1,1,1,1)",2970240,433137,"lower bound",433137,2970240],[4,18,"f","(4,4,3,2,2,1,1,1)",5012280,499011,"lower bound",499011,5012280],[4,18,"f","(4,4,3,2,2,2,1)",4200768,320376,"lower bound",320376,4200768],[4,18,"f","(4,4,3,3,1,1,1,1)",3007368,274005,"lower bound",274005,3007368],[4,18,"f","(4,4,3,3,2,1,1)",5250960,338580,"lower bound",338580,5250960],[4,18,"f","(4,4,3,3,2,2)",2756754,149859,"lower bound",149859,2756754],[4,18,"f","(4,4,3,3,3,1)",2042040,101403,"lower bound",101403,2042040],[4,18,"f","(4,4,4,1,1,1,1,1,1)",779688,109668,"lower bound",109668,779688],[4,18,"f","(4,4,4,2,1,1,1,1)",2598960,229862,"lower bound",229862,2598960],[4,18,"f","(4,4,4,2,2,1,1)",3675672,224870,"lower bound",224870,3675672],[4,18,"f","(4,4,4,2,2,2)",1823250,92278,"lower bound",92278,1823250],[4,18,"f","(4,4,4,3,1,1,1)",2858856,159642,"lower bound",159642,2858852],[4,18,"f","(4,4,4,3,2,1)",3734016,163773,"lower bound",163773,3734008],[4,18,"f","(4,4,4,3,3)",875160,35674,"lower bound",35674,875156],[4,18,"f","(4,4,4,4,1,1)",1021020,40300,"lower bound",40300,1021011],[4,18,"f","(4,4,4,4,2)",787644,29874,"lower bound",29874,787635],[4,18,"f","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2092,"lower bound",2092,2380],[4,18,"f","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,17702,"lower bound",17702,24192],[4,18,"f","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,60497,"lower bound",60497,116025],[4,18,"f","(5,2,2,2,1,1,1,1,1,1,1)",339456,127015,"lower bound",127015,339456],[4,18,"f","(5,2,2,2,2,1,1,1,1,1)",656370,181055,"lower bound",181055,656370],[4,18,"f","(5,2,2,2,2,2,1,1,1)",837760,179284,"lower bound",179284,837760],[4,18,"f","(5,2,2,2,2,2,2,1)",612612,111939,"lower bound",111939,612612],[4,18,"f","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,55183,"lower bound",55183,106029],[4,18,"f","(5,3,2,1,1,1,1,1,1,1,1)",612612,209602,"lower bound",209602,612612],[4,18,"f","(5,3,2,2,1,1,1,1,1,1)",1790100,414626,"lower bound",414626,1790100],[4,18,"f","(5,3,2,2,2,1,1,1,1)",3180870,514580,"lower bound",514580,3180870],[4,18,"f","(5,3,2,2,2,2,1,1)",3403400,417366,"lower bound",417366,3403400],[4,18,"f","(5,3,2,2,2,2,2)",1503684,158449,"lower bound",158449,1503684],[4,18,"f","(5,3,3,1,1,1,1,1,1,1)",1145664,248170,"lower bound",248170,1145664],[4,18,"f","(5,3,3,2,1,1,1,1,1)",3877632,542085,"lower bound",542085,3877632],[4,18,"f","(5,3,3,2,2,1,1,1)",6432426,612183,"lower bound",612183,6432426],[4,18,"f","(5,3,3,2,2,2,1)",5346432,393206,"lower bound",393206,5346432],[4,18,"f","(5,3,3,3,1,1,1,1)",3646500,306512,"lower bound",306512,3646500],[4,18,"f","(5,3,3,3,2,1,1)",6265350,370813,"lower bound",370813,6265350],[4,18,"f","(5,3,3,3,2,2)",3267264,164254,"lower bound",164254,3267264],[4,18,"f","(5,3,3,3,3,1)",2362932,105774,"lower bound",105774,2362932],[4,18,"f","(5,4,1,1,1,1,1,1,1,1,1)",251328,89657,"lower bound",89657,251328],[4,18,"f","(5,4,2,1,1,1,1,1,1,1)",1458600,320876,"lower bound",320876,1458600],[4,18,"f","(5,4,2,2,1,1,1,1,1)",3965760,542813,"lower bound",542813,3965760],[4,18,"f","(5,4,2,2,2,1,1,1)",6126120,557997,"lower bound",557997,6126120],[4,18,"f","(5,4,2,2,2,2,1)",4950400,345046,"lower bound",345046,4950400],[4,18,"f","(5,4,3,1,1,1,1,1,1)",3198720,422454,"lower bound",422454,3198720],[4,18,"f","(5,4,3,2,1,1,1,1)",9801792,781928,"lower bound",781928,9801792],[4,18,"f","(5,4,3,2,2,1,1)",13366080,728315,"lower bound",728315,13366080],[4,18,"f","(5,4,3,2,2,2)",6534528,296870,"lower bound",296870,6534528],[4,18,"f","(5,4,3,3,1,1,1)",8486400,406498,"lower bound",406498,8486380],[4,18,"f","(5,4,3,3,2,1)",10720710,401428,"lower bound",401428,10720670],[4,18,"f","(5,4,3,3,3)",2333760,79900,"lower bound",79900,2333740],[4,18,"f","(5,4,4,1,1,1,1,1)",2858856,224669,"lower bound",224669,2858856],[4,18,"f","(5,4,4,2,1,1,1)",8019648,378067,"lower bound",378067,8019612],[4,18,"f","(5,4,4,2,2,1)",8270262,292415,"lower bound",292415,8270190],[4,18,"f","(5,4,4,3,1,1)",7088796,219680,"lower bound",219680,7088661],[4,18,"f","(5,4,4,3,2)",5105100,149338,"lower bound",149338,5104965],[4,18,"f","(5,4,4,4,1)",1867008,47697,"lower bound",47697,1866900],[4,18,"f","(5,5,1,1,1,1,1,1,1,1)",302940,72810,"lower bound",72810,302940],[4,18,"f","(5,5,2,1,1,1,1,1,1)",1649340,222958,"lower bound",222958,1649340],[4,18,"f","(5,5,2,2,1,1,1,1)",3978000,307292,"lower bound",307292,3978000],[4,18,"f","(5,5,2,2,2,1,1)",5012280,256008,"lower bound",256008,5012280],[4,18,"f","(5,5,2,2,2,2)",2382380,100575,"lower bound",100575,2382380],[4,18,"f","(5,5,3,1,1,1,1,1)",3508596,267767,"lower bound",267767,3508596],[4,18,"f","(5,5,3,2,1,1,1)",9165312,406498,"lower bound",406498,9165252],[4,18,"f","(5,5,3,2,2,1)",9189180,302949,"lower bound",302949,9189060],[4,18,"f","(5,5,3,3,1,1)",6534528,185244,"lower bound",185244,6534348],[4,18,"f","(5,5,3,3,2)",4594590,122426,"lower bound",122426,4594410],[4,18,"f","(5,5,4,1,1,1,1)",3508596,154695,"lower bound",154695,3508512],[4,18,"f","(5,5,4,2,1,1)",7876440,216281,"lower bound",216281,7876035],[4,18,"f","(5,5,4,2,2)",4594590,112938,"lower bound",112938,4594269],[4,18,"f","(5,5,4,3,1)",5105100,108666,"lower bound",108666,5104560],[4,18,"f","(5,5,4,4)",787644,14863,"lower bound",14863,787482],[4,18,"f","(5,5,5,1,1,1)",1429428,37170,"lower bound",37170,1429225],[4,18,"f","(5,5,5,2,1)",2333760,44986,"lower bound",44986,2333276],[4,18,"f","(5,5,5,3)",875160,14250,"lower bound",14250,874890],[4,18,"f","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,4986,"lower bound",4986,6188],[4,18,"f","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,33778,"lower bound",33778,60060],[4,18,"f","(6,2,2,1,1,1,1,1,1,1,1)",268515,98520,"lower bound",98520,268515],[4,18,"f","(6,2,2,2,1,1,1,1,1,1)",714714,178255,"lower bound",178255,714714],[4,18,"f","(6,2,2,2,2,1,1,1,1)",1215500,216953,"lower bound",216953,1215500],[4,18,"f","(6,2,2,2,2,2,1,1)",1272348,177037,"lower bound",177037,1272348],[4,18,"f","(6,2,2,2,2,2,2)",556920,67754,"lower bound",67754,556920],[4,18,"f","(6,3,1,1,1,1,1,1,1,1,1)",255255,93533,"lower bound",93533,255255],[4,18,"f","(6,3,2,1,1,1,1,1,1,1)",1357824,305872,"lower bound",305872,1357824],[4,18,"f","(6,3,2,2,1,1,1,1,1)",3544398,501980,"lower bound",501980,3544398],[4,18,"f","(6,3,2,2,2,1,1,1)",5361664,515152,"lower bound",515152,5361664],[4,18,"f","(6,3,2,2,2,2,1)",4288284,320947,"lower bound",320947,4288284],[4,18,"f","(6,3,3,1,1,1,1,1,1)",2333760,305849,"lower bound",305849,2333760],[4,18,"f","(6,3,3,2,1,1,1,1)",6872250,540088,"lower bound",540088,6872250],[4,18,"f","(6,3,3,2,2,1,1)",9189180,494482,"lower bound",494482,9189180],[4,18,"f","(6,3,3,2,2,2)",4455360,201498,"lower bound",201498,4455360],[4,18,"f","(6,3,3,3,1,1,1)",5469750,247167,"lower bound",247167,5469730],[4,18,"f","(6,3,3,3,2,1)",6789120,239721,"lower bound",239721,6789080],[4,18,"f","(6,3,3,3,3)",1429428,45393,"lower bound",45393,1429408],[4,18,"f","(6,4,1,1,1,1,1,1,1,1)",612612,146917,"lower bound",146917,612612],[4,18,"f","(6,4,2,1,1,1,1,1,1)",3222180,437426,"lower bound",437426,3222180],[4,18,"f","(6,4,2,2,1,1,1,1)",7634088,597369,"lower bound",597369,7634088],[4,18,"f","(6,4,2,2,2,1,1)",9529520,495913,"lower bound",495913,9529520],[4,18,"f","(6,4,2,2,2,2)",4511052,194612,"lower bound",194612,4511052],[4,18,"f","(6,4,3,1,1,1,1,1)",6361740,477899,"lower bound",477899,6361740],[4,18,"f","(6,4,3,2,1,1,1)",16336320,708174,"lower bound",708174,16336180],[4,18,"f","(6,4,3,2,2,1)",16243500,522763,"lower bound",522763,16243220],[4,18,"f","(6,4,3,3,1,1)",11277630,306814,"lower bound",306814,11277225],[4,18,"f","(6,4,3,3,2)",7876440,201987,"lower bound",201987,7876035],[4,18,"f","(6,4,4,1,1,1,1)",5105100,215110,"lower bound",215110,5104940],[4,18,"f","(6,4,4,2,1,1)",11277630,294033,"lower bound",294033,11276874],[4,18,"f","(6,4,4,2,2)",6534528,153048,"lower bound",153048,6533932],[4,18,"f","(6,4,4,3,1)",7088796,143211,"lower bound",143211,7087824],[4,18,"f","(6,4,4,4)",1021020,18079,"lower bound",18079,1020750],[4,18,"f","(6,5,1,1,1,1,1,1,1)",875160,134370,"lower bound",134370,875160],[4,18,"f","(6,5,2,1,1,1,1,1)",4230144,333368,"lower bound",333368,4230144],[4,18,"f","(6,5,2,2,1,1,1)",8576568,364936,"lower bound",364936,8576428],[4,18,"f","(6,5,2,2,2,1)",7920640,238602,"lower bound",238602,7920360],[4,18,"f","(6,5,3,1,1,1,1)",7876440,327418,"lower bound",327418,7876080],[4,18,"f","(6,5,3,2,1,1)",16243500,404889,"lower bound",404889,16241925],[4,18,"f","(6,5,3,2,2)",9189180,203222,"lower bound",203222,9187965],[4,18,"f","(6,5,3,3,1)",8270262,155453,"lower bound",155453,8268642],[4,18,"f","(6,5,4,1,1,1)",6789120,161420,"lower bound",161420,6787656],[4,18,"f","(6,5,4,2,1)",10720710,188025,"lower bound",188025,10717350],[4,18,"f","(6,5,4,3)",3734016,54302,"lower bound",54302,3732288],[4,18,"f","(6,5,5,1,1)",2362932,37711,"lower bound",37711,2361381],[4,18,"f","(6,5,5,2)",2042040,26342,"lower bound",26342,2040418],[4,18,"f","(6,6,1,1,1,1,1,1)",659736,61958,"lower bound",61958,659736],[4,18,"f","(6,6,2,1,1,1,1)",2784600,123178,"lower bound",123178,2784320],[4,18,"f","(6,6,2,2,1,1)",4511052,110159,"lower bound",110159,4510107],[4,18,"f","(6,6,2,2,2)",2382380,48973,"lower bound",48973,2381715],[4,18,"f","(6,6,3,1,1,1)",4455360,104953,"lower bound",104953,4453800],[4,18,"f","(6,6,3,2,1)",6534528,110383,"lower bound",110383,6531228],[4,18,"f","(6,6,3,3)",1823250,24576,"lower bound",24576,1821900],[4,18,"f","(6,6,4,1,1)",3267264,50814,"lower bound",50814,3264432],[4,18,"f","(6,6,4,2)",2756754,34278,"lower bound",34278,2753868],[4,18,"f","(6,6,5,1)",1021020,11932,"lower bound",11932,1019147],[4,18,"f","(6,6,6)",87516,1155,"lower bound",1155,87207],[4,18,"f","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,8141,"lower bound",8141,12376],[4,18,"f","(7,2,1,1,1,1,1,1,1,1,1)",112320,45139,"lower bound",45139,112320],[4,18,"f","(7,2,2,1,1,1,1,1,1,1)",459459,114116,"lower bound",114116,459459],[4,18,"f","(7,2,2,2,1,1,1,1,1)",1089088,176728,"lower bound",176728,1089088],[4,18,"f","(7,2,2,2,2,1,1,1)",1575288,181330,"lower bound",181330,1575288],[4,18,"f","(7,2,2,2,2,2,1)",1233792,113639,"lower bound",113639,1233792],[4,18,"f","(7,3,1,1,1,1,1,1,1,1)",447525,110204,"lower bound",110204,447525],[4,18,"f","(7,3,2,1,1,1,1,1,1)",2144142,306458,"lower bound",306458,2144142],[4,18,"f","(7,3,2,2,1,1,1,1)",4862000,416144,"lower bound",416144,4862000],[4,18,"f","(7,3,2,2,2,1,1)",5937624,347485,"lower bound",347485,5937624],[4,18,"f","(7,3,2,2,2,2)",2784600,136293,"lower bound",136293,2784600],[4,18,"f","(7,3,3,1,1,1,1,1)",3281850,254611,"lower bound",254611,3281850],[4,18,"f","(7,3,3,2,1,1,1)",8078400,364672,"lower bound",364672,8078280],[4,18,"f","(7,3,3,2,2,1)",7876440,263847,"lower bound",263847,7876200],[4,18,"f","(7,3,3,3,1,1)",5105100,139099,"lower bound",139099,5104785],[4,18,"f","(7,3,3,3,2)",3508596,88698,"lower bound",88698,3508281],[4,18,"f","(7,4,1,1,1,1,1,1,1)",1018368,155726,"lower bound",155726,1018368],[4,18,"f","(7,4,2,1,1,1,1,1)",4725864,380189,"lower bound",380189,4725864],[4,18,"f","(7,4,2,2,1,1,1)",9382912,416384,"lower bound",416384,9382688],[4,18,"f","(7,4,2,2,2,1)",8576568,270374,"lower bound",270374,8576120],[4,18,"f","(7,4,3,1,1,1,1)",8078400,336368,"lower bound",336368,8077860],[4,18,"f","(7,4,3,2,1,1)",16336320,406764,"lower bound",406764,16334016],[4,18,"f","(7,4,3,2,2)",9165312,200291,"lower bound",200291,9163548],[4,18,"f","(7,4,3,3,1)",8019648,147088,"lower bound",147088,8017380],[4,18,"f","(7,4,4,1,1,1)",5469750,125184,"lower bound",125184,5468050],[4,18,"f","(7,4,4,2,1)",8486400,141719,"lower bound",141719,8482580],[4,18,"f","(7,4,4,3)",2858856,38874,"lower bound",38874,2856966],[4,18,"f","(7,5,1,1,1,1,1,1)",1432080,131952,"lower bound",131952,1432080],[4,18,"f","(7,5,2,1,1,1,1)",5937624,258920,"lower bound",258920,5936868],[4,18,"f","(7,5,2,2,1,1)",9529520,227447,"lower bound",227447,9527000],[4,18,"f","(7,5,2,2,2)",5012280,99341,"lower bound",99341,5010516],[4,18,"f","(7,5,3,1,1,1)",9189180,207430,"lower bound",207430,9185139],[4,18,"f","(7,5,3,2,1)",13366080,212172,"lower bound",212172,13357620],[4,18,"f","(7,5,3,3)",3675672,45724,"lower bound",45724,3672270],[4,18,"f","(7,5,4,1,1)",6265350,89315,"lower bound",89315,6258585],[4,18,"f","(7,5,4,2)",5250960,58670,"lower bound",58670,5244120],[4,18,"f","(7,5,5,1)",1575288,16100,"lower bound",16100,1571718],[4,18,"f","(7,6,1,1,1,1,1)",1233792,65882,"lower bound",65882,1233288],[4,18,"f","(7,6,2,1,1,1)",4288284,104893,"lower bound",104893,4284469],[4,18,"f","(7,6,2,2,1)",4950400,77261,"lower bound",77261,4944240],[4,18,"f","(7,6,3,1,1)",5346432,76967,"lower bound",76967,5337444],[4,18,"f","(7,6,3,2)",4200768,45618,"lower bound",45618,4192284],[4,18,"f","(7,6,4,1)",2756754,27407,"lower bound",27407,2748669],[4,18,"f","(7,6,5)",466752,5500,"lower bound",5500,464488],[4,18,"f","(7,7,1,1,1,1)",556920,17503,"lower bound",17503,555576],[4,18,"f","(7,7,2,1,1)",1503684,23617,"lower bound",23617,1498497],[4,18,"f","(7,7,2,2)",952952,10165,"lower bound",10165,949116],[4,18,"f","(7,7,3,1)",1312740,12483,"lower bound",12483,1306335],[4,18,"f","(7,7,4)",364650,3811,"lower bound",3811,362160],[4,18,"f","(8,1,1,1,1,1,1,1,1,1,1)",19448,9472,"lower bound",9472,19448],[4,18,"f","(8,2,1,1,1,1,1,1,1,1)",162162,45052,"lower bound",45052,162162],[4,18,"f","(8,2,2,1,1,1,1,1,1)",595595,98472,"lower bound",98472,595595],[4,18,"f","(8,2,2,2,1,1,1,1)",1225224,128087,"lower bound",128087,1225224],[4,18,"f","(8,2,2,2,2,1,1)",1432080,106761,"lower bound",106761,1432080],[4,18,"f","(8,2,2,2,2,2)",659736,41689,"lower bound",41689,659736],[4,18,"f","(8,3,1,1,1,1,1,1,1)",590733,95203,"lower bound",95203,590733],[4,18,"f","(8,3,2,1,1,1,1,1)",2489344,219881,"lower bound",219881,2489344],[4,18,"f","(8,3,2,2,1,1,1)",4725864,241765,"lower bound",241765,4725648],[4,18,"f","(8,3,2,2,2,1)",4230144,157361,"lower bound",157361,4229712],[4,18,"f","(8,3,3,1,1,1,1)",3281850,147360,"lower bound",147360,3281430],[4,18,"f","(8,3,3,2,1,1)",6361740,173719,"lower bound",173719,6360039],[4,18,"f","(8,3,3,2,2)",3508596,83450,"lower bound",83450,3507315],[4,18,"f","(8,3,3,3,1)",2858856,55773,"lower bound",55773,2857344],[4,18,"f","(8,4,1,1,1,1,1,1)",1225224,113762,"lower bound",113762,1225224],[4,18,"f","(8,4,2,1,1,1,1)",4862000,219763,"lower bound",219763,4861000],[4,18,"f","(8,4,2,2,1,1)",7634088,193435,"lower bound",193435,7630848],[4,18,"f","(8,4,2,2,2)",3978000,83781,"lower bound",83781,3975760],[4,18,"f","(8,4,3,1,1,1)",6872250,157798,"lower bound",157798,6867455],[4,18,"f","(8,4,3,2,1)",9801792,159240,"lower bound",159240,9791992],[4,18,"f","(8,4,3,3)",2598960,33076,"lower bound",33076,2595180],[4,18,"f","(8,4,4,1,1)",3646500,50632,"lower bound",50632,3640365],[4,18,"f","(8,4,4,2)",3007368,32821,"lower bound",32821,3001278],[4,18,"f","(8,5,1,1,1,1,1)",1575288,80724,"lower bound",80724,1574388],[4,18,"f","(8,5,2,1,1,1)",5361664,123766,"lower bound",123766,5355072],[4,18,"f","(8,5,2,2,1)",6126120,88847,"lower bound",88847,6115624],[4,18,"f","(8,5,3,1,1)",6432426,85015,"lower bound",85015,6417642],[4,18,"f","(8,5,3,2)",5012280,49795,"lower bound",49795,4998462],[4,18,"f","(8,5,4,1)",3055104,26907,"lower bound",26907,3042984],[4,18,"f","(8,5,5)",408408,4286,"lower bound",4286,405758],[4,18,"f","(8,6,1,1,1,1)",1272348,36979,"lower bound",36979,1268595],[4,18,"f","(8,6,2,1,1)",3403400,47744,"lower bound",47744,3389120],[4,18,"f","(8,6,2,2)",2148120,20095,"lower bound",20095,2137620],[4,18,"f","(8,6,3,1)",2923830,24814,"lower bound",24814,2906568],[4,18,"f","(8,6,4)",787644,7600,"lower bound",7600,781173],[4,18,"f","(8,7,1,1,1)",612612,11079,"lower bound",11079,607071],[4,18,"f","(8,7,2,1)",1131520,9651,"lower bound",9651,1119312],[4,18,"f","(8,7,3)",510510,4028,"lower bound",4028,503895],[4,18,"f","(8,8,1,1)",143208,1322,"lower bound",1322,140148],[4,18,"f","(8,8,2)",136136,772,"lower bound",772,132972],[4,18,"f","(9,1,1,1,1,1,1,1,1,1)",24310,8435,"lower bound",8435,24310],[4,18,"f","(9,2,1,1,1,1,1,1,1)",183040,35082,"lower bound",35082,183040],[4,18,"f","(9,2,2,1,1,1,1,1)",590733,64193,"lower bound",64193,590733],[4,18,"f","(9,2,2,2,1,1,1)",1018368,67681,"lower bound",67681,1018248],[4,18,"f","(9,2,2,2,2,1)",875160,43874,"lower bound",43874,874920],[4,18,"f","(9,3,1,1,1,1,1,1)",595595,61565,"lower bound",61565,595595],[4,18,"f","(9,3,2,1,1,1,1)",2144142,113077,"lower bound",113077,2143218],[4,18,"f","(9,3,2,2,1,1)",3222180,101121,"lower bound",101121,3219345],[4,18,"f","(9,3,2,2,2)",1649340,44206,"lower bound",44206,1647429],[4,18,"f","(9,3,3,1,1,1)",2333760,62126,"lower bound",62126,2330456],[4,18,"f","(9,3,3,2,1)",3198720,62731,"lower bound",62731,3192280],[4,18,"f","(9,3,3,3)",779688,12188,"lower bound",12188,777420],[4,18,"f","(9,4,1,1,1,1,1)",1089088,58242,"lower bound",58242,1087988],[4,18,"f","(9,4,2,1,1,1)",3544398,88428,"lower bound",88428,3536865],[4,18,"f","(9,4,2,2,1)",3965760,65270,"lower bound",65270,3954096],[4,18,"f","(9,4,3,1,1)",3877632,56366,"lower bound",56366,3862536],[4,18,"f","(9,4,3,2)",2970240,33998,"lower bound",33998,2956408],[4,18,"f","(9,4,4,1)",1429428,13172,"lower bound",13172,1420013],[4,18,"f","(9,5,1,1,1,1)",1215500,33630,"lower bound",33630,1210125],[4,18,"f","(9,5,2,1,1)",3180870,42185,"lower bound",42185,3161070],[4,18,"f","(9,5,2,2)",1989000,17847,"lower bound",17847,1974630],[4,18,"f","(9,5,3,1)",2625480,21382,"lower bound",21382,2602740],[4,18,"f","(9,5,4)",649740,5505,"lower bound",5505,642005],[4,18,"f","(9,6,1,1,1)",837760,13854,"lower bound",13854,827796],[4,18,"f","(9,6,2,1)",1531530,11669,"lower bound",11669,1509900],[4,18,"f","(9,6,3)",678912,4873,"lower bound",4873,667456],[4,18,"f","(9,7,1,1)",340340,3025,"lower bound",3025,331753],[4,18,"f","(9,7,2)",322218,1748,"lower bound",1748,313389],[4,18,"f","(9,8,1)",70720,437,"lower bound",437,67448],[4,18,"f","(9,9)",4862,108,"lower bound",108,1124],[4,19,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,19,"f","(10,9)",16796,387,"lower bound",387,14748],[4,19,"f","(13,1,1,1,1,1,1)",18564,1206,"lower bound",1206,16516],[4,19,"f","(13,6)",15504,306,"lower bound",306,10762],[4,19,"f","(14,1,1,1,1,1)",8568,256,"lower bound",256,6211],[4,19,"f","(14,5)",7752,101,"lower bound",101,4762],[4,19,"f","(15,1,1,1,1)",3060,15,"lower bound",15,1365],[4,19,"f","(15,2,1,1)",9044,45,"lower bound",45,4095],[4,19,"f","(15,2,2)",5985,30,"lower bound",30,2730],[4,19,"f","(15,3,1)",8892,45,"lower bound",45,4095],[4,19,"f","(15,4)",2907,15,"lower bound",15,1365],[4,19,"f","(16,1,1,1)",816,0,"exact",0,0],[4,19,"f","(16,2,1)",1615,0,"exact",0,0],[4,19,"f","(16,3)",798,0,"exact",0,0],[4,19,"f","(17,1,1)",153,0,"exact",0,0],[4,19,"f","(17,2)",152,0,"exact",0,0],[4,19,"f","(18,1)",18,0,"exact",0,0],[4,19,"f","(19)",1,0,"exact",0,0],[4,19,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[4,19,"f","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[4,20,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,20,"f","(10,10)",16796,387,"lower bound",387,14748],[4,20,"f","(15,1,1,1,1,1)",11628,271,"lower bound",271,9580],[4,20,"f","(15,5)",10659,116,"lower bound",116,8008],[4,20,"f","(16,1,1,1,1)",3876,15,"lower bound",15,1820],[4,20,"f","(16,2,1,1)",11475,45,"lower bound",45,5460],[4,20,"f","(16,2,2)",7600,30,"lower bound",30,3640],[4,20,"f","(16,3,1)",11305,45,"lower bound",45,5460],[4,20,"f","(16,4)",3705,15,"lower bound",15,1820],[4,20,"f","(17,1,1,1)",969,0,"exact",0,0],[4,20,"f","(17,2,1)",1920,0,"exact",0,0],[4,20,"f","(17,3)",950,0,"exact",0,0],[4,20,"f","(18,1,1)",171,0,"exact",0,0],[4,20,"f","(18,2)",170,0,"exact",0,0],[4,20,"f","(19,1)",19,0,"exact",0,0],[4,20,"f","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[4,20,"f","(20)",1,0,"exact",0,0],[4,21,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,21,"f","(16,1,1,1,1,1)",15504,286,"lower bound",286,13328],[4,21,"f","(16,5)",14364,131,"lower bound",131,11088],[4,21,"f","(17,1,1,1,1)",4845,15,"lower bound",15,2380],[4,21,"f","(17,2,1,1)",14364,45,"lower bound",45,7140],[4,21,"f","(17,2,2)",9520,30,"lower bound",30,4760],[4,21,"f","(17,3,1)",14175,45,"lower bound",45,7140],[4,21,"f","(17,4)",4655,15,"lower bound",15,2380],[4,21,"f","(18,1,1,1)",1140,0,"exact",0,0],[4,21,"f","(18,2,1)",2261,0,"exact",0,0],[4,21,"f","(18,3)",1120,0,"exact",0,0],[4,21,"f","(19,1,1)",190,0,"exact",0,0],[4,21,"f","(19,2)",189,0,"exact",0,0],[4,21,"f","(20,1)",20,0,"exact",0,0],[4,21,"f","(21)",1,0,"exact",0,0],[4,22,"f","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,22,"f","(17,5)",19019,146,"lower bound",146,15028],[4,22,"f","(18,1,1,1,1)",5985,15,"lower bound",15,3060],[4,22,"f","(18,2,1,1)",17765,45,"lower bound",45,9180],[4,22,"f","(18,2,2)",11781,30,"lower bound",30,6120],[4,22,"f","(18,3,1)",17556,45,"lower bound",45,9180],[4,22,"f","(18,4)",5775,15,"lower bound",15,3060],[4,22,"f","(19,1,1,1)",1330,0,"exact",0,0],[4,22,"f","(19,2,1)",2640,0,"exact",0,0],[4,22,"f","(19,3)",1309,0,"exact",0,0],[4,22,"f","(20,1,1)",210,0,"exact",0,0],[4,22,"f","(20,2)",209,0,"exact",0,0],[4,22,"f","(21,1)",21,0,"exact",0,0],[4,22,"f","(22)",1,0,"exact",0,0],[4,23,"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],[4,23,"f","(19,1,1,1,1)",7315,15,"lower bound",15,3876],[4,23,"f","(19,2,2)",14421,30,"lower bound",30,7752],[4,23,"f","(19,4)",7084,15,"lower bound",15,3876],[4,23,"f","(20,1,1,1)",1540,0,"exact",0,0],[4,23,"f","(20,2,1)",3059,0,"exact",0,0],[4,23,"f","(20,3)",1518,0,"exact",0,0],[4,23,"f","(21,1,1)",231,0,"exact",0,0],[4,23,"f","(21,2)",230,0,"exact",0,0],[4,23,"f","(22,1)",22,0,"exact",0,0],[4,23,"f","(23)",1,0,"exact",0,0],[4,24,"f","(20,1,1,1,1)",8855,15,"lower bound",15,4845],[4,24,"f","(20,2,2)",17480,30,"lower bound",30,9690],[4,24,"f","(20,4)",8602,15,"lower 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","(6,6)",132,0,"exact",0,0],[4,12,"p","(7,1,1,1,1,1)",462,3,"exact",3,3],[4,12,"p","(7,2,1,1,1)",1728,2,"exact",2,2],[4,12,"p","(7,2,2,1)",2079,0,"exact",0,0],[4,12,"p","(7,3,1,1)",2376,0,"exact",0,0],[4,12,"p","(7,3,2)",1925,0,"exact",0,0],[4,12,"p","(7,4,1)",1408,0,"exact",0,0],[4,12,"p","(7,5)",297,0,"exact",0,0],[4,12,"p","(8,1,1,1,1)",330,0,"exact",0,0],[4,12,"p","(8,2,1,1)",945,0,"exact",0,0],[4,12,"p","(8,2,2)",616,0,"exact",0,0],[4,12,"p","(8,3,1)",891,0,"exact",0,0],[4,12,"p","(8,4)",275,0,"exact",0,0],[4,12,"p","(9,1,1,1)",165,0,"exact",0,0],[4,12,"p","(9,2,1)",320,0,"exact",0,0],[4,12,"p","(9,3)",154,0,"exact",0,0],[4,12,"p","(10,1,1)",55,0,"exact",0,0],[4,12,"p","(10,2)",54,0,"exact",0,0],[4,12,"p","(11,1)",11,0,"exact",0,0],[4,12,"p","(12)",1,0,"exact",0,0],[4,13,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,13,"p","(2,1,1,1,1,1,1,1,1,1,1,1)",12,6,"exact",6,6],[4,13,"p","(2,2,1,1,1,1,1,1,1,1,1)",65,23,"exact",23,23],[4,13,"p","(2,2,2,1,1,1,1,1,1,1)",208,58,"exact",58,58],[4,13,"p","(2,2,2,2,1,1,1,1,1)",429,87,"exact",87,87],[4,13,"p","(2,2,2,2,2,1,1,1)",572,83,"exact",83,83],[4,13,"p","(2,2,2,2,2,2,1)",429,42,"exact",42,42],[4,13,"p","(3,1,1,1,1,1,1,1,1,1,1)",66,23,"exact",23,23],[4,13,"p","(3,2,1,1,1,1,1,1,1,1)",429,116,"lower bound",116,117],[4,13,"p","(3,2,2,1,1,1,1,1,1)",1365,264,"lower bound",264,266],[4,13,"p","(3,2,2,2,1,1,1,1)",2574,336,"lower bound",336,340],[4,13,"p","(3,2,2,2,2,1,1)",2860,237,"lower bound",237,242],[4,13,"p","(3,2,2,2,2,2)",1287,72,"lower bound",72,78],[4,13,"p","(3,3,1,1,1,1,1,1,1)",936,176,"lower bound",176,179],[4,13,"p","(3,3,2,1,1,1,1,1)",3432,420,"lower bound",420,430],[4,13,"p","(3,3,2,2,1,1,1)",6006,430,"lower bound",430,443],[4,13,"p","(3,3,2,2,2,1)",5148,209,"lower bound",209,227],[4,13,"p","(3,3,3,1,1,1,1)",3575,238,"lower bound",238,249],[4,13,"p","(3,3,3,2,1,1)",6435,210,"lower bound",210,233],[4,13,"p","(3,3,3,2,2)",3432,62,"lower bound",62,74],[4,13,"p","(3,3,3,3,1)",2574,35,"lower bound",35,48],[4,13,"p","(4,1,1,1,1,1,1,1,1,1)",220,58,"exact",58,58],[4,13,"p","(4,2,1,1,1,1,1,1,1)",1430,264,"lower bound",264,266],[4,13,"p","(4,2,2,1,1,1,1,1)",4212,504,"lower bound",504,508],[4,13,"p","(4,2,2,2,1,1,1)",6864,489,"lower bound",489,495],[4,13,"p","(4,2,2,2,2,1)",5720,238,"lower bound",238,245],[4,13,"p","(4,3,1,1,1,1,1,1)",3640,420,"lower bound",420,427],[4,13,"p","(4,3,2,1,1,1,1)",12012,770,"lower bound",770,780],[4,13,"p","(4,3,2,2,1,1)",17160,561,"lower bound",561,576],[4,13,"p","(4,3,2,2,2)",8580,160,"lower bound",160,168],[4,13,"p","(4,3,3,1,1,1)",11440,323,"lower bound",323,333],[4,13,"p","(4,3,3,2,1)",15015,191,"lower bound",191,203],[4,13,"p","(4,3,3,3)",3432,19,"lower bound",19,23],[4,13,"p","(4,4,1,1,1,1,1)",4004,238,"lower bound",238,242],[4,13,"p","(4,4,2,1,1,1)",12012,329,"lower bound",329,336],[4,13,"p","(4,4,2,2,1)",12870,158,"lower bound",158,164],[4,13,"p","(4,4,3,1,1)",11583,111,"lower bound",111,117],[4,13,"p","(4,4,3,2)",8580,35,"lower bound",35,39],[4,13,"p","(4,4,4,1)",3432,6,"lower bound",6,8],[4,13,"p","(5,1,1,1,1,1,1,1,1)",495,88,"exact",88,88],[4,13,"p","(5,2,1,1,1,1,1,1)",3003,336,"lower bound",336,338],[4,13,"p","(5,2,2,1,1,1,1)",7800,489,"lower bound",489,490],[4,13,"p","(5,2,2,2,1,1)",10296,344,"exact",344,344],[4,13,"p","(5,2,2,2,2)",5005,101,"exact",101,101],[4,13,"p","(5,3,1,1,1,1,1)",7371,430,"lower bound",430,432],[4,13,"p","(5,3,2,1,1,1)",20592,559,"exact",559,559],[4,13,"p","(5,3,2,2,1)",21450,276,"exact",276,276],[4,13,"p","(5,3,3,1,1)",16016,155,"exact",155,155],[4,13,"p","(5,3,3,2)",11583,53,"exact",53,53],[4,13,"p","(5,4,1,1,1,1)",9009,210,"lower bound",210,211],[4,13,"p","(5,4,2,1,1)",21450,193,"exact",193,193],[4,13,"p","(5,4,2,2)",12870,52,"exact",52,52],[4,13,"p","(5,4,3,1)",15015,38,"exact",38,38],[4,13,"p","(5,4,4)",2574,0,"exact",0,0],[4,13,"p","(5,5,1,1,1)",5005,35,"lower bound",35,36],[4,13,"p","(5,5,2,1)",8580,21,"exact",21,21],[4,13,"p","(5,5,3)",3432,3,"exact",3,3],[4,13,"p","(6,1,1,1,1,1,1,1)",792,84,"exact",84,84],[4,13,"p","(6,2,1,1,1,1,1)",4290,237,"lower bound",237,238],[4,13,"p","(6,2,2,1,1,1)",9360,247,"lower bound",247,248],[4,13,"p","(6,2,2,2,1)",9009,119,"exact",119,119],[4,13,"p","(6,3,1,1,1,1)",9360,206,"lower bound",206,208],[4,13,"p","(6,3,2,1,1)",20592,178,"exact",178,178],[4,13,"p","(6,3,2,2)",12012,51,"exact",51,51],[4,13,"p","(6,3,3,1)",11440,29,"exact",29,29],[4,13,"p","(6,4,1,1,1)",10296,64,"exact",64,64],[4,13,"p","(6,4,2,1)",17160,34,"exact",34,34],[4,13,"p","(6,4,3)",6435,3,"exact",3,3],[4,13,"p","(6,5,1,1)",5720,7,"exact",7,7],[4,13,"p","(6,5,2)",5148,2,"exact",2,2],[4,13,"p","(6,6,1)",1287,0,"exact",0,0],[4,13,"p","(7,1,1,1,1,1,1)",924,45,"exact",45,45],[4,13,"p","(7,2,1,1,1,1)",4290,82,"lower bound",82,84],[4,13,"p","(7,2,2,1,1)",7371,57,"lower bound",57,59],[4,13,"p","(7,2,2,2)",4004,15,"exact",15,15],[4,13,"p","(7,3,1,1,1)",7800,38,"lower bound",38,40],[4,13,"p","(7,3,2,1)",12012,18,"exact",18,18],[4,13,"p","(7,3,3)",3575,1,"exact",1,1],[4,13,"p","(7,4,1,1)",6864,4,"exact",4,4],[4,13,"p","(7,4,2)",6006,0,"exact",0,0],[4,13,"p","(7,5,1)",2860,0,"exact",0,0],[4,13,"p","(7,6)",429,0,"exact",0,0],[4,13,"p","(8,1,1,1,1,1)",792,9,"exact",9,9],[4,13,"p","(8,2,1,1,1)",3003,11,"exact",11,11],[4,13,"p","(8,2,2,1)",3640,4,"exact",4,4],[4,13,"p","(8,3,1,1)",4212,2,"exact",2,2],[4,13,"p","(8,3,2)",3432,0,"exact",0,0],[4,13,"p","(8,4,1)",2574,0,"exact",0,0],[4,13,"p","(8,5)",572,0,"exact",0,0],[4,13,"p","(9,1,1,1,1)",495,0,"exact",0,0],[4,13,"p","(9,2,1,1)",1430,0,"exact",0,0],[4,13,"p","(9,2,2)",936,0,"exact",0,0],[4,13,"p","(9,3,1)",1365,0,"exact",0,0],[4,13,"p","(9,4)",429,0,"exact",0,0],[4,13,"p","(10,1,1,1)",220,0,"exact",0,0],[4,13,"p","(10,2,1)",429,0,"exact",0,0],[4,13,"p","(10,3)",208,0,"exact",0,0],[4,13,"p","(11,1,1)",66,0,"exact",0,0],[4,13,"p","(11,2)",65,0,"exact",0,0],[4,13,"p","(12,1)",12,0,"exact",0,0],[4,13,"p","(13)",1,0,"exact",0,0],[4,14,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,6,"exact",6,6],[4,14,"p","(2,2,1,1,1,1,1,1,1,1,1,1)",77,32,"exact",32,32],[4,14,"p","(2,2,2,1,1,1,1,1,1,1,1)",273,94,"exact",94,94],[4,14,"p","(2,2,2,2,1,1,1,1,1,1)",637,182,"lower bound",182,183],[4,14,"p","(2,2,2,2,2,1,1,1,1)",1001,230,"lower bound",230,232],[4,14,"p","(2,2,2,2,2,2,1,1)",1001,185,"lower bound",185,189],[4,14,"p","(2,2,2,2,2,2,2)",429,68,"lower bound",68,74],[4,14,"p","(3,1,1,1,1,1,1,1,1,1,1,1)",78,32,"exact",32,32],[4,14,"p","(3,2,1,1,1,1,1,1,1,1,1)",560,191,"lower bound",191,193],[4,14,"p","(3,2,2,1,1,1,1,1,1,1)",2002,556,"lower bound",556,567],[4,14,"p","(3,2,2,2,1,1,1,1,1)",4368,945,"lower bound",945,1874],[4,14,"p","(3,2,2,2,2,1,1,1)",6006,995,"lower bound",995,2546],[4,14,"p","(3,2,2,2,2,2,1)",4576,592,"lower bound",592,665],[4,14,"p","(3,3,1,1,1,1,1,1,1,1)",1365,370,"lower bound",370,384],[4,14,"p","(3,3,2,1,1,1,1,1,1)",5733,1184,"lower bound",1184,2426],[4,14,"p","(3,3,2,2,1,1,1,1)",12012,1798,"lower bound",1798,5006],[4,14,"p","(3,3,2,2,2,1,1)",14014,1504,"lower bound",1504,1790],[4,14,"p","(3,3,2,2,2,2)",6435,531,"lower bound",531,714],[4,14,"p","(3,3,3,1,1,1,1,1)",7007,1002,"lower bound",1002,2896],[4,14,"p","(3,3,3,2,1,1,1)",16016,1470,"lower bound",1470,1891],[4,14,"p","(3,3,3,2,2,1)",15015,949,"lower bound",949,1437],[4,14,"p","(3,3,3,3,1,1)",9009,475,"lower bound",475,796],[4,14,"p","(3,3,3,3,2)",6006,219,"lower bound",219,463],[4,14,"p","(4,1,1,1,1,1,1,1,1,1,1)",286,95,"exact",95,95],[4,14,"p","(4,2,1,1,1,1,1,1,1,1)",2079,557,"lower bound",557,569],[4,14,"p","(4,2,2,1,1,1,1,1,1)",7007,1428,"lower bound",1428,2921],[4,14,"p","(4,2,2,2,1,1,1,1)",13650,2033,"lower bound",2033,5605],[4,14,"p","(4,2,2,2,2,1,1)",15444,1659,"lower bound",1659,1859],[4,14,"p","(4,2,2,2,2,2)",7007,593,"lower bound",593,725],[4,14,"p","(4,3,1,1,1,1,1,1,1)",6006,1188,"lower bound",1188,2480],[4,14,"p","(4,3,2,1,1,1,1,1)",23296,931,"lower bound",931,9440],[4,14,"p","(4,3,2,2,1,1,1)",42042,789,"lower bound",789,16814],[4,14,"p","(4,3,2,2,2,1)",36608,838,"lower bound",838,14528],[4,14,"p","(4,3,3,1,1,1,1)",27027,1281,"lower bound",1281,10722],[4,14,"p","(4,3,3,2,1,1)",50050,313,"lower bound",313,19640],[4,14,"p","(4,3,3,2,2)",27027,973,"lower bound",973,10548],[4,14,"p","(4,3,3,3,1)",21021,600,"lower bound",600,8148],[4,14,"p","(4,4,1,1,1,1,1,1)",7644,1006,"lower bound",1006,3050],[4,14,"p","(4,4,2,1,1,1,1)",28028,1225,"lower bound",1225,10997],[4,14,"p","(4,4,2,2,1,1)",42042,778,"lower bound",778,16317],[4,14,"p","(4,4,2,2,2)",21450,766,"lower bound",766,8280],[4,14,"p","(4,4,3,1,1,1)",35035,1170,"lower bound",1170,13486],[4,14,"p","(4,4,3,2,1)",48048,1025,"lower bound",1025,18336],[4,14,"p","(4,4,3,3)",12012,166,"lower bound",166,323],[4,14,"p","(4,4,4,1,1)",15015,310,"lower bound",310,478],[4,14,"p","(4,4,4,2)",12012,146,"lower bound",146,273],[4,14,"p","(5,1,1,1,1,1,1,1,1,1)",715,185,"lower bound",185,186],[4,14,"p","(5,2,1,1,1,1,1,1,1)",4928,953,"lower bound",953,1984],[4,14,"p","(5,2,2,1,1,1,1,1)",15015,1158,"lower bound",1158,5935],[4,14,"p","(5,2,2,2,1,1,1)",24960,1300,"lower bound",1300,9740],[4,14,"p","(5,2,2,2,2,1)",21021,1347,"lower bound",1347,8141],[4,14,"p","(5,3,1,1,1,1,1,1)",14014,1237,"lower bound",1237,5490],[4,14,"p","(5,3,2,1,1,1,1)",47775,733,"lower bound",733,18410],[4,14,"p","(5,3,2,2,1,1)",69498,435,"lower bound",435,26496],[4,14,"p","(5,3,2,2,2)",35035,1265,"lower bound",1265,13286],[4,14,"p","(5,3,3,1,1,1)",48048,407,"lower bound",407,18170],[4,14,"p","(5,3,3,2,1)",64064,616,"lower bound",616,24020],[4,14,"p","(5,3,3,3)",15015,229,"lower bound",229,343],[4,14,"p","(5,4,1,1,1,1,1)",20384,1384,"lower bound",1384,7742],[4,14,"p","(5,4,2,1,1,1)",63063,292,"lower bound",292,23596],[4,14,"p","(5,4,2,2,1)",68640,549,"lower bound",549,25454],[4,14,"p","(5,4,3,1,1)",64064,803,"lower bound",803,23552],[4,14,"p","(5,4,3,2)",48048,594,"lower bound",594,17550],[4,14,"p","(5,4,4,1)",21021,169,"lower bound",169,7566],[4,14,"p","(5,5,1,1,1,1)",14014,510,"lower bound",510,559],[4,14,"p","(5,5,2,1,1)",35035,653,"lower bound",653,12631],[4,14,"p","(5,5,2,2)",21450,238,"lower bound",238,7680],[4,14,"p","(5,5,3,1)",27027,224,"lower bound",224,9585],[4,14,"p","(5,5,4)",6006,19,"lower bound",19,29],[4,14,"p","(6,1,1,1,1,1,1,1,1)",1287,237,"lower bound",237,239],[4,14,"p","(6,2,1,1,1,1,1,1)",8085,1011,"lower bound",1011,3050],[4,14,"p","(6,2,2,1,1,1,1)",21450,1419,"lower bound",1419,7965],[4,14,"p","(6,2,2,2,1,1)",28665,1174,"lower bound",1174,10535],[4,14,"p","(6,2,2,2,2)",14014,503,"lower bound",503,558],[4,14,"p","(6,3,1,1,1,1,1)",21021,1264,"lower bound",1264,7742],[4,14,"p","(6,3,2,1,1,1)",59904,251,"lower bound",251,21736],[4,14,"p","(6,3,2,2,1)",63063,610,"lower bound",610,22674],[4,14,"p","(6,3,3,1,1)",48048,842,"lower bound",842,17124],[4,14,"p","(6,3,3,2)",35035,427,"lower bound",427,12400],[4,14,"p","(6,4,1,1,1,1)",28665,939,"lower bound",939,10234],[4,14,"p","(6,4,2,1,1)",69498,553,"lower bound",553,24462],[4,14,"p","(6,4,2,2)",42042,460,"lower bound",460,14692],[4,14,"p","(6,4,3,1)",50050,381,"lower bound",381,17320],[4,14,"p","(6,4,4)",9009,25,"lower bound",25,31],[4,14,"p","(6,5,1,1,1)",21021,287,"lower bound",287,7194],[4,14,"p","(6,5,2,1)",36608,238,"lower bound",238,12368],[4,14,"p","(6,5,3)",15015,42,"lower bound",42,50],[4,14,"p","(6,6,1,1)",7007,26,"lower bound",26,34],[4,14,"p","(6,6,2)",6435,14,"lower bound",14,17],[4,14,"p","(7,1,1,1,1,1,1,1)",1716,200,"lower bound",200,202],[4,14,"p","(7,2,1,1,1,1,1)",9504,649,"lower bound",649,678],[4,14,"p","(7,2,2,1,1,1)",21021,798,"lower bound",798,7224],[4,14,"p","(7,2,2,2,1)",20384,469,"lower bound",469,6930],[4,14,"p","(7,3,1,1,1,1)",21450,695,"lower bound",695,7280],[4,14,"p","(7,3,2,1,1)",47775,698,"lower bound",698,15960],[4,14,"p","(7,3,2,2)",28028,277,"lower bound",277,9286],[4,14,"p","(7,3,3,1)",27027,184,"lower bound",184,8856],[4,14,"p","(7,4,1,1,1)",24960,303,"lower bound",303,8148],[4,14,"p","(7,4,2,1)",42042,227,"lower bound",227,13530],[4,14,"p","(7,4,3)",16016,32,"lower bound",32,45],[4,14,"p","(7,5,1,1)",15444,52,"lower bound",52,65],[4,14,"p","(7,5,2)",14014,19,"lower bound",19,25],[4,14,"p","(7,6,1)",4576,2,"lower bound",2,5],[4,14,"p","(7,7)",429,1,"exact",1,1],[4,14,"p","(8,1,1,1,1,1,1)",1716,101,"lower bound",101,102],[4,14,"p","(8,2,1,1,1,1)",8085,232,"lower bound",232,251],[4,14,"p","(8,2,2,1,1)",14014,200,"lower bound",200,240],[4,14,"p","(8,2,2,2)",7644,69,"lower bound",69,88],[4,14,"p","(8,3,1,1,1)",15015,154,"lower bound",154,195],[4,14,"p","(8,3,2,1)",23296,105,"lower bound",105,6776],[4,14,"p","(8,3,3)",7007,10,"lower bound",10,21],[4,14,"p","(8,4,1,1)",13650,29,"lower bound",29,54],[4,14,"p","(8,4,2)",12012,10,"lower bound",10,520],[4,14,"p","(8,5,1)",6006,1,"lower bound",1,8],[4,14,"p","(8,6)",1001,1,"exact",1,1],[4,14,"p","(9,1,1,1,1,1)",1287,23,"exact",23,23],[4,14,"p","(9,2,1,1,1)",4928,43,"exact",43,43],[4,14,"p","(9,2,2,1)",6006,24,"lower bound",24,41],[4,14,"p","(9,3,1,1)",7007,14,"lower bound",14,32],[4,14,"p","(9,3,2)",5733,4,"lower bound",4,21],[4,14,"p","(9,4,1)",4368,8,"exact",8,8],[4,14,"p","(9,5)",1001,2,"exact",2,2],[4,14,"p","(10,1,1,1,1)",715,1,"exact",1,1],[4,14,"p","(10,2,1,1)",2079,3,"exact",3,3],[4,14,"p","(10,2,2)",1365,2,"exact",2,2],[4,14,"p","(10,3,1)",2002,3,"exact",3,3],[4,14,"p","(10,4)",637,1,"exact",1,1],[4,14,"p","(11,1,1,1)",286,0,"exact",0,0],[4,14,"p","(11,2,1)",560,0,"exact",0,0],[4,14,"p","(11,3)",273,0,"exact",0,0],[4,14,"p","(12,1,1)",78,0,"exact",0,0],[4,14,"p","(12,2)",77,0,"exact",0,0],[4,14,"p","(13,1)",13,0,"exact",0,0],[4,14,"p","(14)",1,0,"exact",0,0],[4,15,"p","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,15,"p","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,7,"exact",7,7],[4,15,"p","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,40,"exact",40,40],[4,15,"p","(2,2,2,1,1,1,1,1,1,1,1,1)",350,140,"exact",140,140],[4,15,"p","(2,2,2,2,1,1,1,1,1,1,1)",910,323,"lower bound",323,326],[4,15,"p","(2,2,2,2,2,1,1,1,1,1)",1638,510,"lower bound",510,522],[4,15,"p","(2,2,2,2,2,2,1,1,1)",2002,545,"lower bound",545,581],[4,15,"p","(2,2,2,2,2,2,2,1)",1430,347,"lower bound",347,397],[4,15,"p","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,40,"exact",40,40],[4,15,"p","(3,2,1,1,1,1,1,1,1,1,1,1)",715,282,"lower bound",282,284],[4,15,"p","(3,2,2,1,1,1,1,1,1,1,1)",2835,985,"lower bound",985,1008],[4,15,"p","(3,3,1,1,1,1,1,1,1,1,1)",1925,659,"lower bound",659,685],[4,15,"p","(4,1,1,1,1,1,1,1,1,1,1,1)",364,141,"exact",141,141],[4,15,"p","(4,2,1,1,1,1,1,1,1,1,1)",2925,991,"lower bound",991,1017],[4,15,"p","(5,1,1,1,1,1,1,1,1,1,1)",1001,329,"lower bound",329,334],[4,15,"p","(6,1,1,1,1,1,1,1,1,1)",2002,531,"lower bound",531,547],[4,15,"p","(9,1,1,1,1,1,1)",3003,223,"lower bound",223,245],[4,15,"p","(12,1,1,1)",364,0,"exact",0,0],[4,15,"p","(12,2,1)",715,0,"exact",0,0],[4,15,"p","(12,3)",350,0,"exact",0,0],[4,15,"p","(13,1,1)",91,0,"exact",0,0],[4,15,"p","(13,2)",90,0,"exact",0,0],[4,15,"p","(14,1)",14,0,"exact",0,0],[4,15,"p","(15)",1,0,"exact",0,0],[4,15,"p","(10,1,1,1,1,1)",2002,54,"lower bound",54,55],[4,15,"p","(10,2,1,1,1)",7722,128,"lower bound",128,184],[4,15,"p","(10,2,2,1)",9450,98,"lower bound",98,183],[4,15,"p","(10,3,1,1)",11088,81,"lower bound",81,180],[4,15,"p","(10,3,2)",9100,44,"lower bound",44,134],[4,15,"p","(10,4,1)",7007,25,"lower bound",25,84],[4,15,"p","(10,5)",1638,10,"lower bound",10,14],[4,15,"p","(11,1,1,1,1)",1001,4,"exact",4,4],[4,15,"p","(11,2,1,1)",2925,12,"lower bound",12,63],[4,15,"p","(11,2,2)",1925,8,"exact",8,8],[4,15,"p","(11,3,1)",2835,12,"lower bound",12,57],[4,15,"p","(11,4)",910,4,"exact",4,4],[4,15,"p","(3,2,2,2,1,1,1,1,1,1)",7007,1031,"lower bound",1031,3032],[4,15,"p","(3,2,2,2,2,1,1,1,1)",11375,237,"lower bound",237,4860],[4,15,"p","(3,2,2,2,2,2,1,1)",11583,72,"lower bound",72,4908],[4,15,"p","(3,2,2,2,2,2,2)",5005,958,"lower bound",958,1281],[4,15,"p","(3,3,2,1,1,1,1,1,1,1)",9100,390,"lower bound",390,3890],[4,15,"p","(3,3,2,2,1,1,1,1,1)",22113,400,"lower bound",400,9306],[4,15,"p","(3,3,2,2,2,1,1,1)",32032,210,"lower bound",210,13334],[4,15,"p","(3,3,2,2,2,2,1)",25025,746,"lower bound",746,10350],[4,15,"p","(3,3,3,1,1,1,1,1,1)",12740,208,"lower bound",208,5322],[4,15,"p","(3,3,3,2,1,1,1,1)",35035,210,"lower bound",210,14434],[4,15,"p","(3,3,3,2,2,1,1)",45045,701,"lower bound",701,18390],[4,15,"p","(3,3,3,2,2,2)",21450,635,"lower bound",635,8718],[4,15,"p","(3,3,3,3,1,1,1)",25025,214,"lower bound",214,10152],[4,15,"p","(3,3,3,3,2,1)",30030,6,"lower bound",6,12096],[4,15,"p","(3,3,3,3,3)",6006,287,"lower bound",287,1276],[4,15,"p","(4,2,2,1,1,1,1,1,1,1)",11088,391,"lower bound",391,4680],[4,15,"p","(4,2,2,2,1,1,1,1,1)",25025,376,"lower bound",376,10400],[4,15,"p","(4,2,2,2,2,1,1,1)",35100,241,"lower bound",241,14430],[4,15,"p","(4,2,2,2,2,2,1)",27027,926,"lower bound",926,11040],[4,15,"p","(4,3,1,1,1,1,1,1,1,1)",9450,341,"lower bound",341,3955],[4,15,"p","(4,3,2,1,1,1,1,1,1)",42042,17267,"upper bound",0,17267],[4,15,"p","(4,3,2,2,1,1,1,1)",91000,36865,"upper bound",0,36865],[4,15,"p","(4,3,2,2,2,1,1)",108108,43403,"upper bound",0,43403],[4,15,"p","(4,3,2,2,2,2)",50050,20005,"upper bound",0,20005],[4,15,"p","(4,3,3,1,1,1,1,1)",57330,23058,"upper bound",0,23058],[4,15,"p","(4,3,3,2,1,1,1)",135135,53708,"upper bound",0,53708],[4,15,"p","(4,3,3,2,2,1)",128700,50792,"upper bound",0,50792],[4,15,"p","(4,3,3,3,1,1)",80080,31408,"upper bound",0,31408],[4,15,"p","(4,3,3,3,2)",54054,21096,"upper bound",0,21096],[4,15,"p","(4,4,1,1,1,1,1,1,1)",13650,159,"lower bound",159,5530],[4,15,"p","(4,4,2,1,1,1,1,1)",58968,23487,"upper bound",0,23487],[4,15,"p","(4,4,2,2,1,1,1)",112112,44128,"upper bound",0,44128],[4,15,"p","(4,4,2,2,2,1)",100100,39125,"upper bound",0,39125],[4,15,"p","(4,4,3,1,1,1,1)",90090,35208,"upper bound",0,35208],[4,15,"p","(4,4,3,2,1,1)",175175,67788,"upper bound",0,67788],[4,15,"p","(4,4,3,2,2)",96525,37170,"upper bound",0,37170],[4,15,"p","(4,4,3,3,1)",81081,31032,"upper bound",0,31032],[4,15,"p","(4,4,4,1,1,1)",50050,19147,"upper bound",0,19147],[4,15,"p","(4,4,4,2,1)",75075,28500,"upper bound",0,28500],[4,15,"p","(4,4,4,3)",24024,568,"lower bound",568,9042],[4,15,"p","(5,2,1,1,1,1,1,1,1,1)",7722,682,"lower bound",682,3164],[4,15,"p","(5,2,2,1,1,1,1,1,1)",26950,284,"lower bound",284,10840],[4,15,"p","(5,2,2,2,1,1,1,1)",53625,21280,"upper bound",0,21280],[4,15,"p","(5,2,2,2,2,1,1)",61425,24160,"upper bound",0,24160],[4,15,"p","(5,2,2,2,2,2)",28028,10976,"upper bound",0,10976],[4,15,"p","(5,3,1,1,1,1,1,1,1)",24948,256,"lower bound",256,9954],[4,15,"p","(5,3,2,1,1,1,1,1)",100100,39275,"upper bound",0,39275],[4,15,"p","(5,3,2,2,1,1,1)",184275,71460,"upper bound",0,71460],[4,15,"p","(5,3,2,2,2,1)",162162,62451,"upper bound",0,62451],[4,15,"p","(5,3,3,1,1,1,1)",122850,47308,"upper bound",0,47308],[4,15,"p","(5,3,3,2,1,1)",231660,88344,"upper bound",0,88344],[4,15,"p","(5,3,3,2,2)",126126,47866,"upper bound",0,47866],[4,15,"p","(5,3,3,3,1)",100100,37760,"upper bound",0,37760],[4,15,"p","(5,4,1,1,1,1,1,1)",42042,16282,"upper bound",0,16282],[4,15,"p","(5,4,2,1,1,1,1)",159250,60760,"upper bound",0,60760],[4,15,"p","(5,4,2,2,1,1)",243243,91908,"upper bound",0,91908],[4,15,"p","(5,4,2,2,2)",125125,47050,"upper bound",0,47050],[4,15,"p","(5,4,3,1,1,1)",210210,78876,"upper bound",0,78876],[4,15,"p","(5,4,3,2,1)",292864,109056,"upper bound",0,109056],[4,15,"p","(5,4,3,3)",75075,27720,"upper bound",0,27720],[4,15,"p","(5,4,4,1,1)",100100,36860,"upper bound",0,36860],[4,15,"p","(5,4,4,2)",81081,29700,"upper bound",0,29700],[4,15,"p","(5,5,1,1,1,1,1)",34398,12880,"upper bound",0,12880],[4,15,"p","(5,5,2,1,1,1)",112112,41440,"upper bound",0,41440],[4,15,"p","(5,5,2,2,1)",125125,45900,"upper bound",0,45900],[4,15,"p","(5,5,3,1,1)",126126,45948,"upper bound",0,45948],[4,15,"p","(5,5,3,2)",96525,34980,"upper bound",0,34980],[4,15,"p","(5,5,4,1)",54054,19371,"upper bound",0,19371],[4,15,"p","(5,5,5)",6006,59,"lower bound",59,365],[4,15,"p","(6,2,1,1,1,1,1,1,1)",14300,135,"lower bound",135,5530],[4,15,"p","(6,2,2,1,1,1,1,1)",44550,16950,"upper bound",0,16950],[4,15,"p","(6,2,2,2,1,1,1)",75075,28240,"upper bound",0,28240],[4,15,"p","(6,2,2,2,2,1)",63700,23800,"upper bound",0,23800],[4,15,"p","(6,3,1,1,1,1,1,1)",43120,16282,"upper bound",0,16282],[4,15,"p","(6,3,2,1,1,1,1)",150150,55877,"upper bound",0,55877],[4,15,"p","(6,3,2,2,1,1)",221130,81513,"upper bound",0,81513],[4,15,"p","(6,3,2,2,2)",112112,41132,"upper bound",0,41132],[4,15,"p","(6,3,3,1,1,1)",156000,57120,"upper bound",0,57120],[4,15,"p","(6,3,3,2,1)",210210,76398,"upper bound",0,76398],[4,15,"p","(6,3,3,3)",50050,18040,"upper bound",0,18040],[4,15,"p","(6,4,1,1,1,1,1)",70070,25760,"upper bound",0,25760],[4,15,"p","(6,4,2,1,1,1)",221130,80271,"upper bound",0,80271],[4,15,"p","(6,4,2,2,1)",243243,87642,"upper bound",0,87642],[4,15,"p","(6,4,3,1,1)",231660,82908,"upper bound",0,82908],[4,15,"p","(6,4,3,2)",175175,62370,"upper bound",0,62370],[4,15,"p","(6,4,4,1)",80080,28204,"upper bound",0,28204],[4,15,"p","(6,5,1,1,1,1)",63700,22722,"upper bound",0,22722],[4,15,"p","(6,5,2,1,1)",162162,57231,"upper bound",0,57231],[4,15,"p","(6,5,2,2)",100100,35145,"upper bound",0,35145],[4,15,"p","(6,5,3,1)",128700,44880,"upper bound",0,44880],[4,15,"p","(6,5,4)",30030,286,"lower bound",286,10329],[4,15,"p","(6,6,1,1,1)",28028,9660,"upper bound",0,9660],[4,15,"p","(6,6,2,1)",50050,17105,"upper bound",0,17105],[4,15,"p","(6,6,3)",21450,184,"lower bound",184,7260],[4,15,"p","(7,1,1,1,1,1,1,1,1)",3003,594,"lower bound",594,1106],[4,15,"p","(7,2,1,1,1,1,1,1)",19305,70,"lower bound",70,6978],[4,15,"p","(7,2,2,1,1,1,1)",51975,18528,"upper bound",0,18528],[4,15,"p","(7,2,2,2,1,1)",70070,24752,"upper bound",0,24752],[4,15,"p","(7,2,2,2,2)",34398,12096,"upper bound",0,12096],[4,15,"p","(7,3,1,1,1,1,1)",51975,18400,"upper bound",0,18400],[4,15,"p","(7,3,2,1,1,1)",150150,52515,"upper bound",0,52515],[4,15,"p","(7,3,2,2,1)",159250,55300,"upper bound",0,55300],[4,15,"p","(7,3,3,1,1)",122850,42390,"upper bound",0,42390],[4,15,"p","(7,3,3,2)",90090,30932,"upper bound",0,30932],[4,15,"p","(7,4,1,1,1,1)",75075,25968,"upper bound",0,25968],[4,15,"p","(7,4,2,1,1)",184275,63090,"upper bound",0,63090],[4,15,"p","(7,4,2,2)",112112,38192,"upper bound",0,38192],[4,15,"p","(7,4,3,1)",135135,45738,"upper bound",0,45738],[4,15,"p","(7,4,4)",25025,198,"lower bound",198,8360],[4,15,"p","(7,5,1,1,1)",61425,20700,"upper bound",0,20700],[4,15,"p","(7,5,2,1)",108108,36135,"upper bound",0,36135],[4,15,"p","(7,5,3)",45045,334,"lower bound",334,14916],[4,15,"p","(7,6,1,1)",27027,238,"lower bound",238,8844],[4,15,"p","(7,6,2)",25025,134,"lower bound",134,8140],[4,15,"p","(7,7,1)",5005,14,"lower bound",14,104],[4,15,"p","(8,1,1,1,1,1,1,1)",3432,456,"lower bound",456,1163],[4,15,"p","(8,2,1,1,1,1,1)",19305,965,"lower bound",965,1957],[4,15,"p","(8,2,2,1,1,1)",43120,14224,"upper bound",0,14224],[4,15,"p","(8,2,2,2,1)",42042,13776,"upper bound",0,13776],[4,15,"p","(8,3,1,1,1,1)",44550,14607,"upper bound",0,14607],[4,15,"p","(8,3,2,1,1)",100100,32510,"upper bound",0,32510],[4,15,"p","(8,3,2,2)",58968,19062,"upper bound",0,19062],[4,15,"p","(8,3,3,1)",57330,18424,"upper bound",0,18424],[4,15,"p","(8,4,1,1,1)",53625,17250,"upper bound",0,17250],[4,15,"p","(8,4,2,1)",91000,29050,"upper bound",0,29050],[4,15,"p","(8,4,3)",35035,11088,"upper bound",0,11088],[4,15,"p","(8,5,1,1)",35100,256,"lower bound",256,11055],[4,15,"p","(8,5,2)",32032,10032,"upper bound",0,10032],[4,15,"p","(8,6,1)",11583,23,"lower bound",23,197],[4,15,"p","(8,7)",1430,7,"lower bound",7,14],[4,15,"p","(9,2,1,1,1,1)",14300,608,"lower bound",608,734],[4,15,"p","(9,2,2,1,1)",24948,489,"lower bound",489,7488],[4,15,"p","(9,2,2,2)",13650,237,"lower bound",237,452],[4,15,"p","(9,3,1,1,1)",26950,500,"lower bound",500,8050],[4,15,"p","(9,3,2,1)",42042,12474,"upper bound",0,12474],[4,15,"p","(9,3,3)",12740,57,"lower bound",57,273],[4,15,"p","(9,4,1,1)",25025,155,"lower bound",155,7370],[4,15,"p","(9,4,2)",22113,6480,"upper bound",0,6480],[4,15,"p","(9,5,1)",11375,20,"lower bound",20,164],[4,15,"p","(9,6)",2002,11,"lower 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,3)",462,0,"exact",0,0],[4,11,"s","(4,4,2,1)",1320,0,"exact",0,0],[4,11,"s","(4,4,1,1,1)",825,1,"exact",1,1],[4,11,"s","(4,3,3,1)",1188,0,"exact",0,0],[4,11,"s","(4,3,2,2)",1320,0,"exact",0,0],[4,11,"s","(4,3,2,1,1)",2310,2,"exact",2,2],[4,11,"s","(4,3,1,1,1,1)",1100,11,"exact",11,11],[4,11,"s","(4,2,2,2,1)",1155,3,"exact",3,3],[4,11,"s","(4,2,2,1,1,1)",1232,18,"exact",18,18],[4,11,"s","(4,2,1,1,1,1,1)",594,37,"exact",37,37],[4,11,"s","(4,1,1,1,1,1,1,1)",120,25,"exact",25,25],[4,11,"s","(3,3,3,2)",462,0,"exact",0,0],[4,11,"s","(3,3,3,1,1)",660,1,"exact",1,1],[4,11,"s","(3,3,2,2,1)",990,1,"exact",1,1],[4,11,"s","(3,3,2,1,1,1)",990,11,"exact",11,11],[4,11,"s","(3,3,1,1,1,1,1)",385,23,"exact",23,23],[4,11,"s","(3,2,2,2,2)",330,0,"exact",0,0],[4,11,"s","(3,2,2,2,1,1)",693,10,"exact",10,10],[4,11,"s","(3,2,2,1,1,1,1)",550,36,"exact",36,36],[4,11,"s","(3,2,1,1,1,1,1,1)",231,46,"exact",46,46],[4,11,"s","(3,1,1,1,1,1,1,1,1)",45,19,"exact",19,19],[4,11,"s","(2,2,2,2,2,1)",132,1,"exact",1,1],[4,11,"s","(2,2,2,2,1,1,1)",165,11,"exact",11,11],[4,11,"s","(2,2,2,1,1,1,1,1)",110,22,"exact",22,22],[4,11,"s","(2,2,1,1,1,1,1,1,1)",44,18,"exact",18,18],[4,11,"s","(2,1,1,1,1,1,1,1,1,1)",10,7,"exact",7,7],[4,11,"s","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"s","(12)",1,0,"exact",0,0],[4,12,"s","(11,1)",11,0,"exact",0,0],[4,12,"s","(10,2)",54,0,"exact",0,0],[4,12,"s","(10,1,1)",55,0,"exact",0,0],[4,12,"s","(9,3)",154,0,"exact",0,0],[4,12,"s","(9,2,1)",320,0,"exact",0,0],[4,12,"s","(9,1,1,1)",165,0,"exact",0,0],[4,12,"s","(8,4)",275,0,"exact",0,0],[4,12,"s","(8,3,1)",891,0,"exact",0,0],[4,12,"s","(8,2,2)",616,0,"exact",0,0],[4,12,"s","(8,2,1,1)",945,0,"exact",0,0],[4,12,"s","(8,1,1,1,1)",330,0,"exact",0,0],[4,12,"s","(7,5)",297,0,"exact",0,0],[4,12,"s","(7,4,1)",1408,0,"exact",0,0],[4,12,"s","(7,3,2)",1925,0,"exact",0,0],[4,12,"s","(7,3,1,1)",2376,0,"exact",0,0],[4,12,"s","(7,2,2,1)",2079,0,"exact",0,0],[4,12,"s","(7,2,1,1,1)",1728,2,"exact",2,2],[4,12,"s","(7,1,1,1,1,1)",462,4,"exact",4,4],[4,12,"s","(6,6)",132,0,"exact",0,0],[4,12,"s","(6,5,1)",1155,0,"exact",0,0],[4,12,"s","(6,4,2)",2673,0,"exact",0,0],[4,12,"s","(6,4,1,1)",3080,0,"exact",0,0],[4,12,"s","(6,3,3)",1650,0,"exact",0,0],[4,12,"s","(6,3,2,1)",5632,2,"exact",2,2],[4,12,"s","(6,3,1,1,1)",3696,9,"exact",9,9],[4,12,"s","(6,2,2,2)",1925,4,"exact",4,4],[4,12,"s","(6,2,2,1,1)",3564,17,"exact",17,17],[4,12,"s","(6,2,1,1,1,1)",2100,39,"exact",39,39],[4,12,"s","(6,1,1,1,1,1,1)",462,32,"exact",32,32],[4,12,"s","(5,5,2)",1320,0,"exact",0,0],[4,12,"s","(5,5,1,1)",1485,1,"exact",1,1],[4,12,"s","(5,4,3)",2112,0,"exact",0,0],[4,12,"s","(5,4,2,1)",5775,3,"exact",3,3],[4,12,"s","(5,4,1,1,1)",3520,12,"exact",12,12],[4,12,"s","(5,3,3,1)",4158,3,"exact",3,3],[4,12,"s","(5,3,2,2)",4455,4,"exact",4,4],[4,12,"s","(5,3,2,1,1)",7700,36,"exact",36,36],[4,12,"s","(5,3,1,1,1,1)",3564,70,"exact",70,70],[4,12,"s","(5,2,2,2,1)",3520,30,"exact",30,30],[4,12,"s","(5,2,2,1,1,1)",3696,95,"exact",95,95],[4,12,"s","(5,2,1,1,1,1,1)",1728,133,"exact",133,133],[4,12,"s","(5,1,1,1,1,1,1,1)",330,67,"exact",67,67],[4,12,"s","(4,4,4)",462,0,"exact",0,0],[4,12,"s","(4,4,3,1)",2970,0,"exact",0,0],[4,12,"s","(4,4,2,2)",2640,3,"exact",3,3],[4,12,"s","(4,4,2,1,1)",4455,19,"exact",19,19],[4,12,"s","(4,4,1,1,1,1)",1925,41,"exact",41,41],[4,12,"s","(4,3,3,2)",2970,3,"exact",3,3],[4,12,"s","(4,3,3,1,1)",4158,19,"exact",19,19],[4,12,"s","(4,3,2,2,1)",5775,36,"exact",36,36],[4,12,"s","(4,3,2,1,1,1)",5632,134,"exact",134,134],[4,12,"s","(4,3,1,1,1,1,1)",2079,160,"exact",160,160],[4,12,"s","(4,2,2,2,2)",1485,17,"exact",17,17],[4,12,"s","(4,2,2,2,1,1)",3080,91,"exact",91,91],[4,12,"s","(4,2,2,1,1,1,1)",2376,198,"exact",198,198],[4,12,"s","(4,2,1,1,1,1,1,1)",945,186,"exact",186,186],[4,12,"s","(4,1,1,1,1,1,1,1,1)",165,62,"exact",62,62],[4,12,"s","(3,3,3,3)",462,1,"exact",1,1],[4,12,"s","(3,3,3,2,1)",2112,12,"exact",12,12],[4,12,"s","(3,3,3,1,1,1)",1650,36,"exact",36,36],[4,12,"s","(3,3,2,2,2)",1320,9,"exact",9,9],[4,12,"s","(3,3,2,2,1,1)",2673,73,"exact",73,73],[4,12,"s","(3,3,2,1,1,1,1)",1925,156,"exact",156,156],[4,12,"s","(3,3,1,1,1,1,1,1)",616,122,"exact",122,122],[4,12,"s","(3,2,2,2,2,1)",1155,36,"exact",36,36],[4,12,"s","(3,2,2,2,1,1,1)",1408,125,"exact",125,125],[4,12,"s","(3,2,2,1,1,1,1,1)",891,178,"exact",178,178],[4,12,"s","(3,2,1,1,1,1,1,1,1)",320,118,"exact",118,118],[4,12,"s","(3,1,1,1,1,1,1,1,1,1)",55,32,"exact",32,32],[4,12,"s","(2,2,2,2,2,2)",132,5,"exact",5,5],[4,12,"s","(2,2,2,2,2,1,1)",297,28,"exact",28,28],[4,12,"s","(2,2,2,2,1,1,1,1)",275,58,"exact",58,58],[4,12,"s","(2,2,2,1,1,1,1,1,1)",154,57,"exact",57,57],[4,12,"s","(2,2,1,1,1,1,1,1,1,1)",54,31,"exact",31,31],[4,12,"s","(2,1,1,1,1,1,1,1,1,1,1)",11,9,"exact",9,9],[4,12,"s","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"s","(13)",1,0,"exact",0,0],[4,13,"s","(12,1)",12,0,"exact",0,0],[4,13,"s","(11,2)",65,0,"exact",0,0],[4,13,"s","(11,1,1)",66,0,"exact",0,0],[4,13,"s","(10,3)",208,0,"exact",0,0],[4,13,"s","(10,2,1)",429,0,"exact",0,0],[4,13,"s","(10,1,1,1)",220,0,"exact",0,0],[4,13,"s","(9,4)",429,0,"exact",0,0],[4,13,"s","(9,3,1)",1365,0,"exact",0,0],[4,13,"s","(9,2,2)",936,0,"exact",0,0],[4,13,"s","(9,2,1,1)",1430,0,"exact",0,0],[4,13,"s","(9,1,1,1,1)",495,0,"exact",0,0],[4,13,"s","(8,5)",572,0,"exact",0,0],[4,13,"s","(8,4,1)",2574,0,"exact",0,0],[4,13,"s","(8,3,2)",3432,0,"exact",0,0],[4,13,"s","(8,3,1,1)",4212,1,"lower bound",1,2],[4,13,"s","(8,2,2,1)",3640,3,"lower bound",3,4],[4,13,"s","(8,2,1,1,1)",3003,11,"lower bound",11,13],[4,13,"s","(8,1,1,1,1,1)",792,13,"exact",13,13],[4,13,"s","(7,6)",429,0,"exact",0,0],[4,13,"s","(7,5,1)",2860,0,"exact",0,0],[4,13,"s","(7,4,2)",6006,0,"exact",0,0],[4,13,"s","(7,4,1,1)",6864,4,"exact",4,4],[4,13,"s","(7,3,3)",3575,1,"exact",1,1],[4,13,"s","(7,3,2,1)",12012,20,"exact",20,20],[4,13,"s","(7,3,1,1,1)",7800,49,"lower bound",49,51],[4,13,"s","(7,2,2,2)",4004,19,"exact",19,19],[4,13,"s","(7,2,2,1,1)",7371,76,"lower bound",76,78],[4,13,"s","(7,2,1,1,1,1)",4290,126,"lower bound",126,128],[4,13,"s","(7,1,1,1,1,1,1)",924,80,"exact",80,80],[4,13,"s","(6,6,1)",1287,0,"exact",0,0],[4,13,"s","(6,5,2)",5148,2,"exact",2,2],[4,13,"s","(6,5,1,1)",5720,8,"exact",8,8],[4,13,"s","(6,4,3)",6435,3,"exact",3,3],[4,13,"s","(6,4,2,1)",17160,39,"exact",39,39],[4,13,"s","(6,4,1,1,1)",10296,84,"exact",84,84],[4,13,"s","(6,3,3,1)",11440,34,"exact",34,34],[4,13,"s","(6,3,2,2)",12012,61,"exact",61,61],[4,13,"s","(6,3,2,1,1)",20592,216,"lower bound",216,238],[4,13,"s","(6,3,1,1,1,1)",9360,313,"lower bound",313,315],[4,13,"s","(6,2,2,2,1)",9009,167,"exact",167,167],[4,13,"s","(6,2,2,1,1,1)",9360,384,"lower bound",384,385],[4,13,"s","(6,2,1,1,1,1,1)",4290,418,"lower bound",418,419],[4,13,"s","(6,1,1,1,1,1,1,1)",792,170,"exact",170,170],[4,13,"s","(5,5,3)",3432,3,"exact",3,3],[4,13,"s","(5,5,2,1)",8580,25,"exact",25,25],[4,13,"s","(5,5,1,1,1)",5005,47,"lower bound",47,48],[4,13,"s","(5,4,4)",2574,0,"exact",0,0],[4,13,"s","(5,4,3,1)",15015,44,"exact",44,44],[4,13,"s","(5,4,2,2)",12870,62,"exact",62,62],[4,13,"s","(5,4,2,1,1)",21450,232,"lower bound",232,259],[4,13,"s","(5,4,1,1,1,1)",9009,320,"lower bound",320,321],[4,13,"s","(5,3,3,2)",11583,63,"exact",63,63],[4,13,"s","(5,3,3,1,1)",16016,196,"lower bound",196,208],[4,13,"s","(5,3,2,2,1)",21450,300,"lower bound",300,373],[4,13,"s","(5,3,2,1,1,1)",20592,575,"lower bound",575,851],[4,13,"s","(5,3,1,1,1,1,1)",7371,700,"lower bound",700,738],[4,13,"s","(5,2,2,2,2)",5005,142,"exact",142,142],[4,13,"s","(5,2,2,2,1,1)",10296,464,"lower bound",464,528],[4,13,"s","(5,2,2,1,1,1,1)",7800,757,"lower bound",757,842],[4,13,"s","(5,2,1,1,1,1,1,1)",3003,644,"lower bound",644,646],[4,13,"s","(5,1,1,1,1,1,1,1,1)",495,184,"exact",184,184],[4,13,"s","(4,4,4,1)",3432,6,"lower bound",6,8],[4,13,"s","(4,4,3,2)",8580,41,"lower bound",41,45],[4,13,"s","(4,4,3,1,1)",11583,146,"lower bound",146,152],[4,13,"s","(4,4,2,2,1)",12870,201,"lower bound",201,218],[4,13,"s","(4,4,2,1,1,1)",12012,441,"lower bound",441,505],[4,13,"s","(4,4,1,1,1,1,1)",4004,404,"lower bound",404,408],[4,13,"s","(4,3,3,3)",3432,23,"lower bound",23,27],[4,13,"s","(4,3,3,2,1)",15015,224,"lower bound",224,266],[4,13,"s","(4,3,3,1,1,1)",11440,426,"lower bound",426,492],[4,13,"s","(4,3,2,2,2)",8580,206,"lower bound",206,224],[4,13,"s","(4,3,2,2,1,1)",17160,564,"lower bound",564,858],[4,13,"s","(4,3,2,1,1,1,1)",12012,846,"lower bound",846,1302],[4,13,"s","(4,3,1,1,1,1,1,1)",3640,781,"lower bound",781,788],[4,13,"s","(4,2,2,2,2,1)",5720,355,"lower bound",355,362],[4,13,"s","(4,2,2,2,1,1,1)",6864,729,"lower bound",729,820],[4,13,"s","(4,2,2,1,1,1,1,1)",4212,906,"lower bound",906,932],[4,13,"s","(4,2,1,1,1,1,1,1,1)",1430,525,"lower bound",525,527],[4,13,"s","(4,1,1,1,1,1,1,1,1,1)",220,120,"exact",120,120],[4,13,"s","(3,3,3,3,1)",2574,47,"lower bound",47,60],[4,13,"s","(3,3,3,2,2)",3432,81,"lower bound",81,93],[4,13,"s","(3,3,3,2,1,1)",6435,310,"lower bound",310,333],[4,13,"s","(3,3,3,1,1,1,1)",3575,388,"lower bound",388,399],[4,13,"s","(3,3,2,2,2,1)",5148,306,"lower bound",306,324],[4,13,"s","(3,3,2,2,1,1,1)",6006,677,"lower bound",677,718],[4,13,"s","(3,3,2,1,1,1,1,1)",3432,759,"lower bound",759,769],[4,13,"s","(3,3,1,1,1,1,1,1,1)",936,344,"lower bound",344,347],[4,13,"s","(3,2,2,2,2,2)",1287,104,"lower bound",104,110],[4,13,"s","(3,2,2,2,2,1,1)",2860,380,"lower bound",380,385],[4,13,"s","(3,2,2,2,1,1,1,1)",2574,598,"lower bound",598,602],[4,13,"s","(3,2,2,1,1,1,1,1,1)",1365,507,"lower bound",507,509],[4,13,"s","(3,2,1,1,1,1,1,1,1,1)",429,232,"lower bound",232,233],[4,13,"s","(3,1,1,1,1,1,1,1,1,1,1)",66,48,"exact",48,48],[4,13,"s","(2,2,2,2,2,2,1)",429,66,"exact",66,66],[4,13,"s","(2,2,2,2,2,1,1,1)",572,144,"exact",144,144],[4,13,"s","(2,2,2,2,1,1,1,1,1)",429,164,"exact",164,164],[4,13,"s","(2,2,2,1,1,1,1,1,1,1)",208,113,"exact",113,113],[4,13,"s","(2,2,1,1,1,1,1,1,1,1,1)",65,47,"exact",47,47],[4,13,"s","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"exact",11,11],[4,13,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"s","(14)",1,0,"exact",0,0],[4,14,"s","(13,1)",13,0,"exact",0,0],[4,14,"s","(12,2)",77,0,"exact",0,0],[4,14,"s","(12,1,1)",78,0,"exact",0,0],[4,14,"s","(11,3)",273,0,"exact",0,0],[4,14,"s","(11,2,1)",560,0,"exact",0,0],[4,14,"s","(11,1,1,1)",286,0,"exact",0,0],[4,14,"s","(10,4)",637,0,"lower bound",0,1],[4,14,"s","(10,3,1)",2002,0,"lower bound",0,3],[4,14,"s","(10,2,2)",1365,0,"lower bound",0,2],[4,14,"s","(10,2,1,1)",2079,0,"lower bound",0,3],[4,14,"s","(10,1,1,1,1)",715,0,"lower bound",0,1],[4,14,"s","(9,5)",1001,0,"lower bound",0,2],[4,14,"s","(9,4,1)",4368,0,"lower bound",0,8],[4,14,"s","(9,3,2)",5733,0,"lower bound",0,548],[4,14,"s","(9,3,1,1)",7007,1,"lower bound",1,1598],[4,14,"s","(9,2,2,1)",6006,3,"lower bound",3,1390],[4,14,"s","(9,2,1,1,1)",4928,11,"lower bound",11,56],[4,14,"s","(9,1,1,1,1,1)",1287,13,"lower bound",13,36],[4,14,"s","(8,6)",1001,0,"lower bound",0,1],[4,14,"s","(8,5,1)",6006,0,"lower bound",0,50],[4,14,"s","(8,4,2)",12012,0,"lower bound",0,520],[4,14,"s","(8,4,1,1)",13650,5,"lower bound",5,3856],[4,14,"s","(8,3,3)",7007,1,"lower bound",1,1989],[4,14,"s","(8,3,2,1)",23296,24,"lower bound",24,6802],[4,14,"s","(8,3,1,1,1)",15015,61,"lower bound",61,4516],[4,14,"s","(8,2,2,2)",7644,22,"lower bound",22,2312],[4,14,"s","(8,2,2,1,1)",14014,90,"lower bound",90,4335],[4,14,"s","(8,2,1,1,1,1)",8085,150,"lower bound",150,2654],[4,14,"s","(8,1,1,1,1,1,1)",1716,93,"lower bound",93,191],[4,14,"s","(7,7)",429,0,"lower bound",0,1],[4,14,"s","(7,6,1)",4576,0,"lower bound",0,5],[4,14,"s","(7,5,2)",14014,2,"lower bound",2,4302],[4,14,"s","(7,5,1,1)",15444,12,"lower bound",12,4806],[4,14,"s","(7,4,3)",16016,4,"lower bound",4,5070],[4,14,"s","(7,4,2,1)",42042,63,"lower bound",63,13591],[4,14,"s","(7,4,1,1,1)",24960,137,"lower bound",137,8278],[4,14,"s","(7,3,3,1)",27027,55,"lower bound",55,8909],[4,14,"s","(7,3,2,2)",28028,100,"lower bound",100,9380],[4,14,"s","(7,3,2,1,1)",47775,361,"lower bound",361,16317],[4,14,"s","(7,3,1,1,1,1)",21450,488,"lower bound",488,7724],[4,14,"s","(7,2,2,2,1)",20384,262,"lower bound",262,7171],[4,14,"s","(7,2,2,1,1,1)",21021,586,"lower bound",586,7754],[4,14,"s","(7,2,1,1,1,1,1)",9504,624,"lower bound",624,3869],[4,14,"s","(7,1,1,1,1,1,1,1)",1716,250,"lower bound",250,825],[4,14,"s","(6,6,2)",6435,2,"lower bound",2,2059],[4,14,"s","(6,6,1,1)",7007,8,"lower bound",8,2271],[4,14,"s","(6,5,3)",15015,8,"lower bound",8,5003],[4,14,"s","(6,5,2,1)",36608,74,"lower bound",74,12438],[4,14,"s","(6,5,1,1,1)",21021,139,"lower bound",139,7321],[4,14,"s","(6,4,4)",9009,3,"lower bound",3,901],[4,14,"s","(6,4,3,1)",50050,120,"lower bound",120,17432],[4,14,"s","(6,4,2,2)",42042,162,"lower bound",162,14845],[4,14,"s","(6,4,2,1,1)",69498,571,"lower bound",571,25021],[4,14,"s","(6,4,1,1,1,1)",28665,717,"lower bound",717,10864],[4,14,"s","(6,3,3,2)",35035,158,"lower bound",158,12545],[4,14,"s","(6,3,3,1,1)",48048,446,"lower bound",446,17549],[4,14,"s","(6,3,2,2,1)",63063,744,"lower bound",744,23415],[4,14,"s","(6,3,2,1,1,1)",59904,1488,"lower bound",1488,23271],[4,14,"s","(6,3,1,1,1,1,1)",21021,1431,"lower bound",1431,8974],[4,14,"s","(6,2,2,2,2)",14014,309,"lower bound",309,5389],[4,14,"s","(6,2,2,2,1,1)",28665,1015,"lower bound",1015,11444],[4,14,"s","(6,2,2,1,1,1,1)",21450,1559,"lower bound",1559,9321],[4,14,"s","(6,2,1,1,1,1,1,1)",8085,1232,"lower bound",1232,4037],[4,14,"s","(6,1,1,1,1,1,1,1,1)",1287,354,"lower bound",354,507],[4,14,"s","(5,5,4)",6006,3,"lower bound",3,550],[4,14,"s","(5,5,3,1)",27027,72,"lower bound",72,9654],[4,14,"s","(5,5,2,2)",21450,87,"lower bound",87,7760],[4,14,"s","(5,5,2,1,1)",35035,304,"lower bound",304,12929],[4,14,"s","(5,5,1,1,1,1)",14014,367,"lower bound",367,5439],[4,14,"s","(5,4,4,1)",21021,50,"lower bound",50,7615],[4,14,"s","(5,4,3,2)",48048,210,"lower bound",210,17748],[4,14,"s","(5,4,3,1,1)",64064,618,"lower bound",618,24137],[4,14,"s","(5,4,2,2,1)",68640,795,"lower bound",795,26257],[4,14,"s","(5,4,2,1,1,1)",63063,1568,"lower bound",1568,25232],[4,14,"s","(5,4,1,1,1,1,1)",20384,1424,"lower bound",1424,8939],[4,14,"s","(5,3,3,3)",15015,86,"lower bound",86,5657],[4,14,"s","(5,3,3,2,1)",64064,783,"lower bound",783,24807],[4,14,"s","(5,3,3,1,1,1)",48048,1197,"lower bound",1197,19457],[4,14,"s","(5,3,2,2,2)",35035,648,"lower bound",648,13915],[4,14,"s","(5,3,2,2,1,1)",69498,1903,"lower bound",1903,28656],[4,14,"s","(5,3,2,1,1,1,1)",47775,2878,"lower bound",2878,21397],[4,14,"s","(5,3,1,1,1,1,1,1)",14014,2125,"lower bound",2125,7170],[4,14,"s","(5,2,2,2,2,1)",21021,961,"lower bound",961,8972],[4,14,"s","(5,2,2,2,1,1,1)",24960,1950,"lower bound",1950,11460],[4,14,"s","(5,2,2,1,1,1,1,1)",15015,2307,"lower bound",2307,7775],[4,14,"s","(5,2,1,1,1,1,1,1,1)",4928,1353,"lower bound",1353,2971],[4,14,"s","(5,1,1,1,1,1,1,1,1,1)",715,304,"lower bound",304,394],[4,14,"s","(4,4,4,2)",12012,47,"lower bound",47,4544],[4,14,"s","(4,4,4,1,1)",15015,152,"lower bound",152,5794],[4,14,"s","(4,4,3,3)",12012,64,"lower bound",64,4604],[4,14,"s","(4,4,3,2,1)",48048,612,"lower bound",612,18929],[4,14,"s","(4,4,3,1,1,1)",35035,1013,"lower bound",1013,14441],[4,14,"s","(4,4,2,2,2)",21450,407,"lower bound",407,8662],[4,14,"s","(4,4,2,2,1,1)",42042,1206,"lower bound",1206,17618],[4,14,"s","(4,4,2,1,1,1,1)",28028,1691,"lower bound",1691,12750],[4,14,"s","(4,4,1,1,1,1,1,1)",7644,1185,"lower bound",1185,3958],[4,14,"s","(4,3,3,3,1)",21021,294,"lower bound",294,8453],[4,14,"s","(4,3,3,2,2)",27027,511,"lower bound",511,11045],[4,14,"s","(4,3,3,2,1,1)",50050,1524,"lower bound",1524,21229],[4,14,"s","(4,3,3,1,1,1,1)",27027,1660,"lower bound",1660,12438],[4,14,"s","(4,3,2,2,2,1)",36608,1431,"lower bound",1431,15952],[4,14,"s","(4,3,2,2,1,1,1)",42042,2816,"lower bound",2816,19679],[4,14,"s","(4,3,2,1,1,1,1,1)",23296,3292,"lower bound",3292,12269],[4,14,"s","(4,3,1,1,1,1,1,1,1)",6006,1650,"lower bound",1650,3663],[4,14,"s","(4,2,2,2,2,2)",7007,459,"lower bound",459,3204],[4,14,"s","(4,2,2,2,2,1,1)",15444,1464,"lower bound",1464,7468],[4,14,"s","(4,2,2,2,1,1,1,1)",13650,2233,"lower bound",2233,7332],[4,14,"s","(4,2,2,1,1,1,1,1,1)",7007,1938,"lower bound",1938,4304],[4,14,"s","(4,2,1,1,1,1,1,1,1,1)",2079,877,"lower bound",877,1472],[4,14,"s","(4,1,1,1,1,1,1,1,1,1,1)",286,168,"lower bound",168,201],[4,14,"s","(3,3,3,3,2)",6006,128,"lower bound",128,2533],[4,14,"s","(3,3,3,3,1,1)",9009,357,"lower bound",357,3938],[4,14,"s","(3,3,3,2,2,1)",15015,697,"lower bound",697,6682],[4,14,"s","(3,3,3,2,1,1,1)",16016,1375,"lower bound",1375,7644],[4,14,"s","(3,3,3,1,1,1,1,1)",7007,1147,"lower bound",1147,3758],[4,14,"s","(3,3,2,2,2,2)",6435,410,"lower bound",410,2982],[4,14,"s","(3,3,2,2,2,1,1)",14014,1363,"lower bound",1363,6862],[4,14,"s","(3,3,2,2,1,1,1,1)",12012,2034,"lower bound",2034,6522],[4,14,"s","(3,3,2,1,1,1,1,1,1)",5733,1610,"lower bound",1610,3555],[4,14,"s","(3,3,1,1,1,1,1,1,1,1)",1365,576,"lower bound",576,971],[4,14,"s","(3,2,2,2,2,2,1)",4576,550,"lower bound",550,2339],[4,14,"s","(3,2,2,2,2,1,1,1)",6006,1122,"lower bound",1122,3352],[4,14,"s","(3,2,2,2,1,1,1,1,1)",4368,1269,"lower bound",1269,2744],[4,14,"s","(3,2,2,1,1,1,1,1,1,1)",2002,852,"lower bound",852,1430],[4,14,"s","(3,2,1,1,1,1,1,1,1,1,1)",560,327,"lower bound",327,395],[4,14,"s","(3,1,1,1,1,1,1,1,1,1,1,1)",78,59,"lower bound",59,66],[4,14,"s","(2,2,2,2,2,2,2)",429,66,"lower bound",66,120],[4,14,"s","(2,2,2,2,2,2,1,1)",1001,210,"lower bound",210,333],[4,14,"s","(2,2,2,2,2,1,1,1,1)",1001,308,"lower bound",308,436],[4,14,"s","(2,2,2,2,1,1,1,1,1,1)",637,277,"lower bound",277,358],[4,14,"s","(2,2,2,1,1,1,1,1,1,1,1)",273,160,"lower bound",160,191],[4,14,"s","(2,2,1,1,1,1,1,1,1,1,1,1)",77,58,"lower bound",58,65],[4,14,"s","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,12,"lower bound",12,13],[4,14,"s","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,1,"t","(1)",1,0,"exact",0,0],[4,2,"t","(2)",1,0,"exact",0,0],[4,2,"t","(1,1)",1,0,"exact",0,0],[4,3,"t","(3)",1,0,"exact",0,0],[4,3,"t","(2,1)",2,0,"exact",0,0],[4,3,"t","(1,1,1)",1,0,"exact",0,0],[4,4,"t","(4)",1,0,"exact",0,0],[4,4,"t","(1,1,1,1)",1,0,"exact",0,0],[4,4,"t","(2,2)",2,0,"exact",0,0],[4,4,"t","(2,1,1)",3,0,"exact",0,0],[4,4,"t","(3,1)",3,0,"exact",0,0],[4,5,"t","(5)",1,0,"exact",0,0],[4,5,"t","(1,1,1,1,1)",1,0,"exact",0,0],[4,5,"t","(2,1,1,1)",4,0,"exact",0,0],[4,5,"t","(4,1)",4,0,"exact",0,0],[4,5,"t","(2,2,1)",5,0,"exact",0,0],[4,5,"t","(3,2)",5,0,"exact",0,0],[4,5,"t","(3,1,1)",6,0,"exact",0,0],[4,6,"t","(6)",1,0,"exact",0,0],[4,6,"t","(1,1,1,1,1,1)",1,0,"exact",0,0],[4,6,"t","(2,1,1,1,1)",5,0,"exact",0,0],[4,6,"t","(2,2,2)",5,0,"exact",0,0],[4,6,"t","(3,3)",5,0,"exact",0,0],[4,6,"t","(5,1)",5,0,"exact",0,0],[4,6,"t","(2,2,1,1)",9,0,"exact",0,0],[4,6,"t","(4,2)",9,0,"exact",0,0],[4,6,"t","(3,1,1,1)",10,0,"exact",0,0],[4,6,"t","(4,1,1)",10,0,"exact",0,0],[4,6,"t","(3,2,1)",16,0,"exact",0,0],[4,7,"t","(7)",1,0,"exact",0,0],[4,7,"t","(1,1,1,1,1,1,1)",1,0,"exact",0,0],[4,7,"t","(2,1,1,1,1,1)",6,0,"exact",0,0],[4,7,"t","(6,1)",6,0,"exact",0,0],[4,7,"t","(2,2,1,1,1)",14,0,"exact",0,0],[4,7,"t","(2,2,2,1)",14,0,"exact",0,0],[4,7,"t","(4,3)",14,0,"exact",0,0],[4,7,"t","(5,2)",14,0,"exact",0,0],[4,7,"t","(3,1,1,1,1)",15,0,"exact",0,0],[4,7,"t","(5,1,1)",15,0,"exact",0,0],[4,7,"t","(4,1,1,1)",20,0,"exact",0,0],[4,7,"t","(3,2,2)",21,0,"exact",0,0],[4,7,"t","(3,3,1)",21,0,"exact",0,0],[4,7,"t","(3,2,1,1)",35,0,"exact",0,0],[4,7,"t","(4,2,1)",35,0,"exact",0,0],[4,8,"t","(8)",1,0,"exact",0,0],[4,8,"t","(1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,8,"t","(2,1,1,1,1,1,1)",7,0,"exact",0,0],[4,8,"t","(7,1)",7,0,"exact",0,0],[4,8,"t","(2,2,2,2)",14,0,"exact",0,0],[4,8,"t","(4,4)",14,0,"exact",0,0],[4,8,"t","(2,2,1,1,1,1)",20,0,"exact",0,0],[4,8,"t","(6,2)",20,0,"exact",0,0],[4,8,"t","(3,1,1,1,1,1)",21,0,"exact",0,0],[4,8,"t","(6,1,1)",21,0,"exact",0,0],[4,8,"t","(2,2,2,1,1)",28,0,"exact",0,0],[4,8,"t","(5,3)",28,0,"exact",0,0],[4,8,"t","(4,1,1,1,1)",35,0,"exact",0,0],[4,8,"t","(5,1,1,1)",35,0,"exact",0,0],[4,8,"t","(3,3,2)",42,0,"exact",0,0],[4,8,"t","(3,3,1,1)",56,0,"exact",0,0],[4,8,"t","(4,2,2)",56,0,"exact",0,0],[4,8,"t","(3,2,1,1,1)",64,0,"exact",0,0],[4,8,"t","(5,2,1)",64,0,"exact",0,0],[4,8,"t","(3,2,2,1)",70,0,"exact",0,0],[4,8,"t","(4,3,1)",70,0,"exact",0,0],[4,8,"t","(4,2,1,1)",90,0,"exact",0,0],[4,9,"t","(9)",1,0,"exact",0,0],[4,9,"t","(3,1,1,1,1,1,1)",28,1,"exact",1,1],[4,9,"t","(2,2,1,1,1,1,1)",27,1,"exact",1,1],[4,9,"t","(2,1,1,1,1,1,1,1)",8,3,"exact",3,3],[4,9,"t","(1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,9,"t","(8,1)",8,0,"exact",0,0],[4,9,"t","(7,2)",27,0,"exact",0,0],[4,9,"t","(7,1,1)",28,0,"exact",0,0],[4,9,"t","(2,2,2,2,1)",42,0,"exact",0,0],[4,9,"t","(3,3,3)",42,0,"exact",0,0],[4,9,"t","(5,4)",42,0,"exact",0,0],[4,9,"t","(2,2,2,1,1,1)",48,0,"exact",0,0],[4,9,"t","(6,3)",48,0,"exact",0,0],[4,9,"t","(4,1,1,1,1,1)",56,0,"exact",0,0],[4,9,"t","(6,1,1,1)",56,0,"exact",0,0],[4,9,"t","(5,1,1,1,1)",70,1,"upper bound",0,1],[4,9,"t","(3,2,2,2)",84,0,"exact",0,0],[4,9,"t","(4,4,1)",84,0,"exact",0,0],[4,9,"t","(3,2,1,1,1,1)",105,0,"exact",0,0],[4,9,"t","(6,2,1)",105,0,"exact",0,0],[4,9,"t","(3,3,1,1,1)",120,0,"exact",0,0],[4,9,"t","(5,2,2)",120,0,"exact",0,0],[4,9,"t","(3,2,2,1,1)",162,0,"exact",0,0],[4,9,"t","(5,3,1)",162,0,"exact",0,0],[4,9,"t","(3,3,2,1)",168,0,"exact",0,0],[4,9,"t","(4,3,2)",168,0,"exact",0,0],[4,9,"t","(4,2,1,1,1)",189,0,"exact",0,0],[4,9,"t","(5,2,1,1)",189,0,"exact",0,0],[4,9,"t","(4,2,2,1)",216,0,"exact",0,0],[4,9,"t","(4,3,1,1)",216,0,"exact",0,0],[4,10,"t","(1,1,1,1,1,1,1,1,1,1)",1,1,"unchecked",1,1],[4,10,"t","(2,1,1,1,1,1,1,1,1)",9,5,"exact",5,5],[4,10,"t","(2,2,1,1,1,1,1,1)",35,8,"exact",8,8],[4,10,"t","(2,2,2,1,1,1,1)",75,4,"exact",4,4],[4,10,"t","(2,2,2,2,1,1)",90,0,"exact",0,0],[4,10,"t","(2,2,2,2,2)",42,1,"upper bound",0,1],[4,10,"t","(3,1,1,1,1,1,1,1)",36,9,"exact",9,9],[4,10,"t","(3,2,1,1,1,1,1)",160,8,"exact",8,8],[4,10,"t","(3,2,2,1,1,1)",315,2,"exact",2,2],[4,10,"t","(3,2,2,2,1)",288,0,"exact",0,0],[4,10,"t","(3,3,1,1,1,1)",225,0,"exact",0,0],[4,10,"t","(3,3,2,1,1)",450,0,"exact",0,0],[4,10,"t","(3,3,2,2)",252,0,"exact",0,0],[4,10,"t","(3,3,3,1)",210,0,"exact",0,0],[4,10,"t","(4,1,1,1,1,1,1)",84,4,"lower bound",4,5],[4,10,"t","(4,2,1,1,1,1)",350,2,"lower bound",2,4],[4,10,"t","(4,2,2,1,1)",567,1,"upper bound",0,1],[4,10,"t","(4,2,2,2)",300,0,"exact",0,0],[4,10,"t","(4,3,1,1,1)",525,0,"exact",0,0],[4,10,"t","(4,3,2,1)",768,0,"exact",0,0],[4,10,"t","(4,3,3)",210,0,"exact",0,0],[4,10,"t","(4,4,1,1)",300,0,"exact",0,0],[4,10,"t","(4,4,2)",252,0,"exact",0,0],[4,10,"t","(5,1,1,1,1,1)",126,3,"upper bound",0,3],[4,10,"t","(5,2,1,1,1)",448,4,"upper bound",0,4],[4,10,"t","(5,2,2,1)",525,1,"upper bound",0,1],[4,10,"t","(5,3,1,1)",567,1,"upper bound",0,1],[4,10,"t","(5,3,2)",450,0,"exact",0,0],[4,10,"t","(5,4,1)",288,0,"exact",0,0],[4,10,"t","(5,5)",42,0,"exact",0,0],[4,10,"t","(6,1,1,1,1)",126,4,"upper bound",0,4],[4,10,"t","(6,2,1,1)",350,2,"upper bound",0,2],[4,10,"t","(6,2,2)",225,0,"exact",0,0],[4,10,"t","(6,3,1)",315,0,"exact",0,0],[4,10,"t","(6,4)",90,0,"exact",0,0],[4,10,"t","(7,1,1,1)",84,1,"upper bound",0,1],[4,10,"t","(7,2,1)",160,2,"upper bound",0,2],[4,10,"t","(7,3)",75,1,"upper bound",0,1],[4,10,"t","(8,1,1)",36,0,"exact",0,0],[4,10,"t","(8,2)",35,0,"exact",0,0],[4,10,"t","(9,1)",9,0,"exact",0,0],[4,10,"t","(10)",1,0,"unchecked",0,0],[4,11,"t","(11)",1,0,"exact",0,0],[4,11,"t","(6,1,1,1,1,1)",252,1,"lower bound",1,20],[4,11,"t","(5,3,1,1,1)",1540,1,"lower bound",1,36],[4,11,"t","(5,2,2,1,1)",1540,3,"lower bound",3,33],[4,11,"t","(5,2,1,1,1,1)",924,10,"lower bound",10,47],[4,11,"t","(5,1,1,1,1,1,1)",210,12,"lower bound",12,23],[4,11,"t","(4,4,1,1,1)",825,1,"lower bound",1,12],[4,11,"t","(4,3,2,1,1)",2310,2,"lower bound",2,20],[4,11,"t","(4,3,1,1,1,1)",1100,11,"lower bound",11,31],[4,11,"t","(4,2,2,2,1)",1155,3,"lower bound",3,13],[4,11,"t","(4,2,2,1,1,1)",1232,18,"lower bound",18,40],[4,11,"t","(4,2,1,1,1,1,1)",594,37,"lower bound",37,53],[4,11,"t","(4,1,1,1,1,1,1,1)",120,25,"lower bound",25,28],[4,11,"t","(3,3,3,1,1)",660,1,"lower bound",1,17],[4,11,"t","(3,3,2,2,1)",990,1,"lower bound",1,5],[4,11,"t","(3,3,2,1,1,1)",990,11,"lower bound",11,24],[4,11,"t","(3,3,1,1,1,1,1)",385,23,"lower bound",23,29],[4,11,"t","(3,2,2,2,1,1)",693,10,"lower bound",10,18],[4,11,"t","(3,2,2,1,1,1,1)",550,36,"lower bound",36,44],[4,11,"t","(3,2,1,1,1,1,1,1)",231,46,"lower bound",46,48],[4,11,"t","(3,1,1,1,1,1,1,1,1)",45,19,"exact",19,19],[4,11,"t","(2,2,2,2,2,1)",132,1,"lower bound",1,8],[4,11,"t","(2,2,2,2,1,1,1)",165,11,"lower bound",11,12],[4,11,"t","(2,2,2,1,1,1,1,1)",110,22,"exact",22,22],[4,11,"t","(2,2,1,1,1,1,1,1,1)",44,18,"exact",18,18],[4,11,"t","(2,1,1,1,1,1,1,1,1,1)",10,7,"exact",7,7],[4,11,"t","(1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,11,"t","(10,1)",10,0,"exact",0,0],[4,11,"t","(9,2)",44,0,"exact",0,0],[4,11,"t","(9,1,1)",45,0,"exact",0,0],[4,11,"t","(8,3)",110,4,"upper bound",0,4],[4,11,"t","(8,1,1,1)",120,4,"upper bound",0,4],[4,11,"t","(6,5)",132,3,"upper bound",0,3],[4,11,"t","(7,4)",165,5,"upper bound",0,5],[4,11,"t","(7,1,1,1,1)",210,16,"upper bound",0,16],[4,11,"t","(8,2,1)",231,8,"upper bound",0,8],[4,11,"t","(3,2,2,2,2)",330,10,"upper bound",0,10],[4,11,"t","(5,5,1)",330,4,"upper bound",0,4],[4,11,"t","(7,2,2)",385,14,"upper bound",0,14],[4,11,"t","(3,3,3,2)",462,4,"upper bound",0,4],[4,11,"t","(4,4,3)",462,2,"upper bound",0,2],[4,11,"t","(7,3,1)",550,17,"upper bound",0,17],[4,11,"t","(7,2,1,1)",594,25,"upper bound",0,25],[4,11,"t","(5,3,3)",660,4,"upper bound",0,4],[4,11,"t","(6,4,1)",693,16,"upper bound",0,16],[4,11,"t","(5,2,2,2)",825,8,"upper bound",0,8],[4,11,"t","(6,2,1,1,1)",924,41,"upper bound",0,41],[4,11,"t","(5,4,2)",990,4,"upper bound",0,4],[4,11,"t","(6,3,2)",990,20,"upper bound",0,20],[4,11,"t","(6,2,2,1)",1100,30,"upper bound",0,30],[4,11,"t","(5,4,1,1)",1155,13,"upper bound",0,13],[4,11,"t","(4,3,3,1)",1188,5,"upper bound",0,5],[4,11,"t","(6,3,1,1)",1232,32,"upper bound",0,32],[4,11,"t","(4,3,2,2)",1320,4,"upper bound",0,4],[4,11,"t","(4,4,2,1)",1320,6,"upper bound",0,6],[4,11,"t","(5,3,2,1)",2310,262,"upper bound",0,262],[4,12,"t","(12)",1,0,"exact",0,0],[4,12,"t","(7,2,1,1,1)",1728,2,"lower bound",2,238],[4,12,"t","(7,1,1,1,1,1)",462,4,"lower bound",4,84],[4,12,"t","(6,3,2,1)",5632,2,"lower bound",2,684],[4,12,"t","(6,3,1,1,1)",3696,9,"lower bound",9,515],[4,12,"t","(6,2,2,2)",1925,4,"lower bound",4,253],[4,12,"t","(6,2,2,1,1)",3564,17,"lower bound",17,511],[4,12,"t","(6,2,1,1,1,1)",2100,39,"lower bound",39,370],[4,12,"t","(6,1,1,1,1,1,1)",462,32,"lower bound",32,105],[4,12,"t","(5,5,1,1)",1485,1,"lower bound",1,183],[4,12,"t","(5,4,2,1)",5775,3,"lower bound",3,749],[4,12,"t","(5,4,1,1,1)",3520,12,"lower bound",12,507],[4,12,"t","(5,3,3,1)",4158,3,"lower bound",3,559],[4,12,"t","(5,3,2,2)",4455,4,"lower bound",4,627],[4,12,"t","(5,3,2,1,1)",7700,36,"lower bound",36,1157],[4,12,"t","(5,3,1,1,1,1)",3564,70,"lower bound",70,627],[4,12,"t","(5,2,2,2,1)",3520,30,"lower bound",30,567],[4,12,"t","(5,2,2,1,1,1)",3696,95,"lower bound",95,680],[4,12,"t","(5,2,1,1,1,1,1)",1728,133,"lower bound",133,388],[4,12,"t","(5,1,1,1,1,1,1,1)",330,67,"lower bound",67,108],[4,12,"t","(4,4,2,2)",2640,3,"lower bound",3,404],[4,12,"t","(4,4,2,1,1)",4455,19,"lower bound",19,706],[4,12,"t","(4,4,1,1,1,1)",1925,41,"lower bound",41,353],[4,12,"t","(4,3,3,2)",2970,3,"lower bound",3,475],[4,12,"t","(4,3,3,1,1)",4158,19,"lower bound",19,697],[4,12,"t","(4,3,2,2,1)",5775,36,"lower bound",36,1007],[4,12,"t","(4,3,2,1,1,1)",5632,134,"lower bound",134,1074],[4,12,"t","(4,3,1,1,1,1,1)",2079,160,"lower bound",160,468],[4,12,"t","(4,2,2,2,2)",1485,17,"lower bound",17,292],[4,12,"t","(4,2,2,2,1,1)",3080,91,"lower bound",91,625],[4,12,"t","(4,2,2,1,1,1,1)",2376,198,"lower bound",198,551],[4,12,"t","(4,2,1,1,1,1,1,1)",945,186,"lower bound",186,276],[4,12,"t","(4,1,1,1,1,1,1,1,1)",165,62,"lower bound",62,70],[4,12,"t","(3,3,3,3)",462,1,"lower bound",1,88],[4,12,"t","(3,3,3,2,1)",2112,12,"lower bound",12,404],[4,12,"t","(3,3,3,1,1,1)",1650,36,"lower bound",36,352],[4,12,"t","(3,3,2,2,2)",1320,9,"lower bound",9,268],[4,12,"t","(3,3,2,2,1,1)",2673,73,"lower bound",73,580],[4,12,"t","(3,3,2,1,1,1,1)",1925,156,"lower bound",156,462],[4,12,"t","(3,3,1,1,1,1,1,1)",616,122,"lower bound",122,185],[4,12,"t","(3,2,2,2,2,1)",1155,36,"lower bound",36,266],[4,12,"t","(3,2,2,2,1,1,1)",1408,125,"lower bound",125,352],[4,12,"t","(3,2,2,1,1,1,1,1)",891,178,"lower bound",178,261],[4,12,"t","(3,2,1,1,1,1,1,1,1)",320,118,"lower bound",118,127],[4,12,"t","(3,1,1,1,1,1,1,1,1,1)",55,32,"exact",32,32],[4,12,"t","(2,2,2,2,2,2)",132,5,"lower bound",5,37],[4,12,"t","(2,2,2,2,2,1,1)",297,28,"lower bound",28,78],[4,12,"t","(2,2,2,2,1,1,1,1)",275,58,"lower bound",58,83],[4,12,"t","(2,2,2,1,1,1,1,1,1)",154,57,"lower bound",57,60],[4,12,"t","(2,2,1,1,1,1,1,1,1,1)",54,31,"exact",31,31],[4,12,"t","(2,1,1,1,1,1,1,1,1,1,1)",11,9,"exact",9,9],[4,12,"t","(1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,12,"t","(11,1)",11,0,"exact",0,0],[4,12,"t","(10,2)",54,0,"exact",0,0],[4,12,"t","(10,1,1)",55,0,"exact",0,0],[4,12,"t","(6,6)",132,14,"upper bound",0,14],[4,12,"t","(9,3)",154,10,"upper bound",0,10],[4,12,"t","(9,1,1,1)",165,10,"upper bound",0,10],[4,12,"t","(8,4)",275,23,"upper bound",0,23],[4,12,"t","(7,5)",297,27,"upper bound",0,27],[4,12,"t","(9,2,1)",320,20,"upper bound",0,20],[4,12,"t","(8,1,1,1,1)",330,46,"upper bound",0,46],[4,12,"t","(4,4,4)",462,70,"upper bound",0,70],[4,12,"t","(8,2,2)",616,58,"upper bound",0,58],[4,12,"t","(8,3,1)",891,78,"upper bound",0,78],[4,12,"t","(8,2,1,1)",945,98,"upper bound",0,98],[4,12,"t","(6,5,1)",1155,120,"upper bound",0,120],[4,12,"t","(5,5,2)",1320,149,"upper bound",0,149],[4,12,"t","(7,4,1)",1408,140,"upper bound",0,140],[4,12,"t","(6,3,3)",1650,187,"upper bound",0,187],[4,12,"t","(7,3,2)",1925,196,"upper bound",0,196],[4,12,"t","(7,2,2,1)",2079,242,"upper bound",0,242],[4,12,"t","(5,4,3)",2112,247,"upper bound",0,247],[4,12,"t","(7,3,1,1)",2376,328,"upper bound",0,328],[4,12,"t","(6,4,2)",2673,625,"upper bound",0,625],[4,12,"t","(4,4,3,1)",2970,922,"upper bound",0,922],[4,12,"t","(6,4,1,1)",3080,1032,"upper bound",0,1032],[4,13,"t","(13)",1,0,"exact",0,0],[4,13,"t","(8,3,1,1)",4212,2,"lower bound",2,910],[4,13,"t","(8,2,2,1)",3640,4,"lower bound",4,818],[4,13,"t","(8,2,1,1,1)",3003,13,"lower bound",13,748],[4,13,"t","(8,1,1,1,1,1)",792,13,"lower bound",13,235],[4,13,"t","(7,4,1,1)",6864,4,"lower bound",4,1718],[4,13,"t","(7,3,3)",3575,1,"lower bound",1,874],[4,13,"t","(7,3,2,1)",12012,20,"lower bound",20,3140],[4,13,"t","(7,3,1,1,1)",7800,49,"lower bound",49,2221],[4,13,"t","(7,2,2,2)",4004,19,"lower bound",19,1107],[4,13,"t","(7,2,2,1,1)",7371,76,"lower bound",76,2154],[4,13,"t","(7,2,1,1,1,1)",4290,126,"lower bound",126,1409],[4,13,"t","(7,1,1,1,1,1,1)",924,80,"lower bound",80,351],[4,13,"t","(6,5,2)",5148,2,"lower bound",2,1330],[4,13,"t","(6,5,1,1)",5720,8,"lower bound",8,1562],[4,13,"t","(6,4,3)",6435,3,"lower bound",3,1743],[4,13,"t","(6,4,2,1)",17160,39,"lower bound",39,4983],[4,13,"t","(6,4,1,1,1)",10296,84,"lower bound",84,3220],[4,13,"t","(6,3,3,1)",11440,34,"lower bound",34,3425],[4,13,"t","(6,3,2,2)",12012,61,"lower bound",61,3739],[4,13,"t","(6,3,2,1,1)",20592,238,"lower bound",238,20592],[4,13,"t","(6,3,1,1,1,1)",9360,313,"lower bound",313,3354],[4,13,"t","(6,2,2,2,1)",9009,167,"lower bound",167,3079],[4,13,"t","(6,2,2,1,1,1)",9360,384,"lower bound",384,3442],[4,13,"t","(6,2,1,1,1,1,1)",4290,418,"lower bound",418,1764],[4,13,"t","(6,1,1,1,1,1,1,1)",792,170,"lower bound",170,382],[4,13,"t","(5,5,3)",3432,3,"lower bound",3,982],[4,13,"t","(5,5,2,1)",8580,25,"lower bound",25,2625],[4,13,"t","(5,5,1,1,1)",5005,47,"lower bound",47,1644],[4,13,"t","(5,4,3,1)",15015,44,"lower bound",44,4828],[4,13,"t","(5,4,2,2)",12870,62,"lower bound",62,4299],[4,13,"t","(5,4,2,1,1)",21450,259,"lower bound",259,21450],[4,13,"t","(5,4,1,1,1,1)",9009,320,"lower bound",320,3420],[4,13,"t","(5,3,3,2)",11583,63,"lower bound",63,3997],[4,13,"t","(5,3,3,1,1)",16016,208,"lower bound",208,5743],[4,13,"t","(5,3,2,2,1)",21450,373,"lower bound",373,21450],[4,13,"t","(5,3,2,1,1,1)",20592,851,"lower bound",851,20592],[4,13,"t","(5,3,1,1,1,1,1)",7371,736,"lower bound",736,3191],[4,13,"t","(5,2,2,2,2)",5005,142,"lower bound",142,1967],[4,13,"t","(5,2,2,2,1,1)",10296,528,"lower bound",528,4208],[4,13,"t","(5,2,2,1,1,1,1)",7800,841,"lower bound",841,3439],[4,13,"t","(5,2,1,1,1,1,1,1)",3003,644,"lower bound",644,1481],[4,13,"t","(5,1,1,1,1,1,1,1,1)",495,184,"lower bound",184,276],[4,13,"t","(4,4,4,1)",3432,6,"lower bound",6,1170],[4,13,"t","(4,4,3,2)",8580,41,"lower bound",41,3078],[4,13,"t","(4,4,3,1,1)",11583,146,"lower bound",146,4318],[4,13,"t","(4,4,2,2,1)",12870,212,"lower bound",212,4949],[4,13,"t","(4,4,2,1,1,1)",12012,498,"lower bound",498,4895],[4,13,"t","(4,4,1,1,1,1,1)",4004,404,"lower bound",404,1783],[4,13,"t","(4,3,3,3)",3432,23,"lower bound",23,1293],[4,13,"t","(4,3,3,2,1)",15015,254,"lower bound",254,5933],[4,13,"t","(4,3,3,1,1,1)",11440,482,"lower bound",482,4776],[4,13,"t","(4,3,2,2,2)",8580,216,"lower bound",216,3533],[4,13,"t","(4,3,2,2,1,1)",17160,843,"lower bound",843,7334],[4,13,"t","(4,3,2,1,1,1,1)",12012,1292,"lower bound",1292,5495],[4,13,"t","(4,3,1,1,1,1,1,1)",3640,781,"lower bound",781,1864],[4,13,"t","(4,2,2,2,2,1)",5720,355,"lower bound",355,2546],[4,13,"t","(4,2,2,2,1,1,1)",6864,814,"lower bound",814,3210],[4,13,"t","(4,2,2,1,1,1,1,1)",4212,928,"lower bound",928,2185],[4,13,"t","(4,2,1,1,1,1,1,1,1)",1430,525,"lower bound",525,787],[4,13,"t","(4,1,1,1,1,1,1,1,1,1)",220,120,"lower bound",120,134],[4,13,"t","(3,3,3,3,1)",2574,47,"lower bound",47,1073],[4,13,"t","(3,3,3,2,2)",3432,81,"lower bound",81,1469],[4,13,"t","(3,3,3,2,1,1)",6435,310,"lower bound",310,2849],[4,13,"t","(3,3,3,1,1,1,1)",3575,388,"lower bound",388,1688],[4,13,"t","(3,3,2,2,2,1)",5148,306,"lower bound",306,2348],[4,13,"t","(3,3,2,2,1,1,1)",6006,705,"lower bound",705,2872],[4,13,"t","(3,3,2,1,1,1,1,1)",3432,759,"lower bound",759,1787],[4,13,"t","(3,3,1,1,1,1,1,1,1)",936,344,"lower bound",344,518],[4,13,"t","(3,2,2,2,2,2)",1287,104,"lower bound",104,611],[4,13,"t","(3,2,2,2,2,1,1)",2860,380,"lower bound",380,1399],[4,13,"t","(3,2,2,2,1,1,1,1)",2574,598,"lower bound",598,1325],[4,13,"t","(3,2,2,1,1,1,1,1,1)",1365,507,"lower bound",507,751],[4,13,"t","(3,2,1,1,1,1,1,1,1,1)",429,232,"lower bound",232,258],[4,13,"t","(3,1,1,1,1,1,1,1,1,1,1)",66,48,"exact",48,48],[4,13,"t","(2,2,2,2,2,2,1)",429,66,"lower bound",66,216],[4,13,"t","(2,2,2,2,2,1,1,1)",572,144,"lower bound",144,299],[4,13,"t","(2,2,2,2,1,1,1,1,1)",429,164,"lower bound",164,238],[4,13,"t","(2,2,2,1,1,1,1,1,1,1)",208,113,"lower bound",113,124],[4,13,"t","(2,2,1,1,1,1,1,1,1,1,1)",65,47,"exact",47,47],[4,13,"t","(2,1,1,1,1,1,1,1,1,1,1,1)",12,11,"exact",11,11],[4,13,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,13,"t","(12,1)",12,0,"exact",0,0],[4,13,"t","(11,2)",65,0,"exact",0,0],[4,13,"t","(11,1,1)",66,0,"exact",0,0],[4,13,"t","(10,3)",208,20,"upper bound",0,20],[4,13,"t","(10,1,1,1)",220,20,"upper bound",0,20],[4,13,"t","(7,6)",429,86,"upper bound",0,86],[4,13,"t","(9,4)",429,63,"upper bound",0,63],[4,13,"t","(10,2,1)",429,40,"upper bound",0,40],[4,13,"t","(9,1,1,1,1)",495,104,"upper bound",0,104],[4,13,"t","(8,5)",572,103,"upper bound",0,103],[4,13,"t","(9,2,2)",936,152,"upper bound",0,152],[4,13,"t","(6,6,1)",1287,306,"upper bound",0,306],[4,13,"t","(9,3,1)",1365,209,"upper bound",0,209],[4,13,"t","(9,2,1,1)",1430,247,"upper bound",0,247],[4,13,"t","(5,4,4)",2574,767,"upper bound",0,767],[4,13,"t","(8,4,1)",2574,526,"upper bound",0,526],[4,13,"t","(7,5,1)",2860,812,"upper bound",0,812],[4,13,"t","(8,3,2)",3432,1384,"upper bound",0,1384],[4,13,"t","(7,4,2)",6006,3958,"upper bound",0,3958],[4,14,"t","(14)",1,0,"exact",0,0],[4,14,"t","(10,4)",637,1,"lower bound",1,134],[4,14,"t","(10,3,1)",2002,3,"lower bound",3,441],[4,14,"t","(10,2,2)",1365,2,"lower bound",2,314],[4,14,"t","(10,2,1,1)",2079,3,"lower bound",3,503],[4,14,"t","(10,1,1,1,1)",715,1,"lower bound",1,199],[4,14,"t","(9,5)",1001,2,"lower bound",2,270],[4,14,"t","(9,4,1)",4368,8,"lower bound",8,1275],[4,14,"t","(9,3,2)",5733,4,"lower bound",4,1736],[4,14,"t","(9,3,1,1)",7007,16,"lower bound",16,2230],[4,14,"t","(9,2,2,1)",6006,28,"lower bound",28,1969],[4,14,"t","(9,2,1,1,1)",4928,56,"lower bound",56,1743],[4,14,"t","(9,1,1,1,1,1)",1287,36,"lower bound",36,516],[4,14,"t","(8,6)",1001,1,"lower bound",1,307],[4,14,"t","(8,5,1)",6006,1,"lower bound",1,2040],[4,14,"t","(8,4,1,1)",13650,35,"lower bound",35,5105],[4,14,"t","(8,3,3)",7007,11,"lower bound",11,2580],[4,14,"t","(8,3,2,1)",23296,131,"lower bound",131,23296],[4,14,"t","(8,3,1,1,1)",15015,218,"lower bound",218,6226],[4,14,"t","(8,2,2,2)",7644,92,"lower bound",92,3110],[4,14,"t","(8,2,2,1,1)",14014,293,"lower bound",293,5950],[4,14,"t","(8,2,1,1,1,1)",8085,380,"lower bound",380,3728],[4,14,"t","(8,1,1,1,1,1,1)",1716,190,"lower bound",190,879],[4,14,"t","(7,7)",429,1,"lower bound",1,139],[4,14,"t","(7,6,1)",4576,2,"lower bound",2,1678],[4,14,"t","(7,5,2)",14014,21,"lower bound",21,5518],[4,14,"t","(7,5,1,1)",15444,64,"lower bound",64,6343],[4,14,"t","(7,4,3)",16016,36,"lower bound",36,6565],[4,14,"t","(7,4,2,1)",42042,288,"lower bound",288,42042],[4,14,"t","(7,4,1,1,1)",24960,433,"lower bound",433,24960],[4,14,"t","(7,3,3,1)",27027,237,"lower bound",237,27027],[4,14,"t","(7,3,2,2)",28028,371,"lower bound",371,28028],[4,14,"t","(7,3,2,1,1)",47775,1055,"lower bound",1055,47775],[4,14,"t","(7,3,1,1,1,1)",21450,1139,"lower bound",1139,21450],[4,14,"t","(7,2,2,2,1)",20384,710,"lower bound",710,20384],[4,14,"t","(7,2,2,1,1,1)",21021,1328,"lower bound",1328,21021],[4,14,"t","(7,2,1,1,1,1,1)",9504,1200,"lower bound",1200,5334],[4,14,"t","(7,1,1,1,1,1,1,1)",1716,415,"lower bound",415,1066],[4,14,"t","(6,6,2)",6435,16,"lower bound",16,2645],[4,14,"t","(6,6,1,1)",7007,33,"lower bound",33,2999],[4,14,"t","(6,5,3)",15015,50,"lower bound",50,6528],[4,14,"t","(6,5,2,1)",36608,308,"lower bound",308,36608],[4,14,"t","(6,5,1,1,1)",21021,414,"lower bound",414,21021],[4,14,"t","(6,4,4)",9009,28,"lower bound",28,4022],[4,14,"t","(6,4,3,1)",50050,493,"lower bound",493,50050],[4,14,"t","(6,4,2,2)",42042,613,"lower bound",613,42042],[4,14,"t","(6,4,2,1,1)",69498,1112,"lower bound",1112,69498],[4,14,"t","(6,4,1,1,1,1)",28665,1569,"lower bound",1569,28665],[4,14,"t","(6,3,3,2)",35035,572,"lower bound",572,35035],[4,14,"t","(6,3,3,1,1)",48048,1267,"lower bound",1267,48048],[4,14,"t","(6,3,2,2,1)",63063,1351,"lower bound",1351,63063],[4,14,"t","(6,3,2,1,1,1)",59904,1786,"lower bound",1786,59904],[4,14,"t","(6,3,1,1,1,1,1)",21021,2496,"lower bound",2496,21021],[4,14,"t","(6,2,2,2,2)",14014,768,"lower bound",768,7738],[4,14,"t","(6,2,2,2,1,1)",28665,2083,"lower bound",2083,28665],[4,14,"t","(6,2,2,1,1,1,1)",21450,2775,"lower bound",2775,21450],[4,14,"t","(6,2,1,1,1,1,1,1)",8085,1998,"lower bound",1998,7388],[4,14,"t","(6,1,1,1,1,1,1,1,1)",1287,505,"lower bound",505,899],[4,14,"t","(5,5,4)",6006,22,"lower bound",22,2769],[4,14,"t","(5,5,3,1)",27027,293,"lower bound",293,27027],[4,14,"t","(5,5,2,2)",21450,318,"lower bound",318,21450],[4,14,"t","(5,5,2,1,1)",35035,951,"lower bound",951,35035],[4,14,"t","(5,5,1,1,1,1)",14014,826,"lower bound",826,7759],[4,14,"t","(5,4,4,1)",21021,218,"lower bound",218,21021],[4,14,"t","(5,4,3,2)",48048,792,"lower bound",792,48048],[4,14,"t","(5,4,3,1,1)",64064,1388,"lower bound",1388,64064],[4,14,"t","(5,4,2,2,1)",68640,1352,"lower bound",1352,68640],[4,14,"t","(5,4,2,1,1,1)",63063,1928,"lower bound",1928,63063],[4,14,"t","(5,4,1,1,1,1,1)",20384,2581,"lower bound",2581,20384],[4,14,"t","(5,3,3,3)",15015,312,"lower bound",312,8089],[4,14,"t","(5,3,3,2,1)",64064,1403,"lower bound",1403,64064],[4,14,"t","(5,3,3,1,1,1)",48048,1694,"lower bound",1694,48048],[4,14,"t","(5,3,2,2,2)",35035,1894,"lower bound",1894,35035],[4,14,"t","(5,3,2,2,1,1)",69498,2595,"lower bound",2595,69498],[4,14,"t","(5,3,2,1,1,1,1)",47775,3720,"lower bound",3720,47775],[4,14,"t","(5,3,1,1,1,1,1,1)",14014,2917,"lower bound",2917,11741],[4,14,"t","(5,2,2,2,2,1)",21021,2178,"lower bound",2178,21021],[4,14,"t","(5,2,2,2,1,1,1)",24960,3020,"lower bound",3020,24960],[4,14,"t","(5,2,2,1,1,1,1,1)",15015,2998,"lower bound",2998,12914],[4,14,"t","(5,2,1,1,1,1,1,1,1)",4928,1940,"lower bound",1940,3511],[4,14,"t","(5,1,1,1,1,1,1,1,1,1)",715,393,"lower bound",393,533],[4,14,"t","(4,4,4,2)",12012,196,"lower bound",196,6465],[4,14,"t","(4,4,4,1,1)",15015,452,"lower bound",452,8319],[4,14,"t","(4,4,3,3)",12012,231,"lower bound",231,6606],[4,14,"t","(4,4,3,2,1)",48048,1618,"lower bound",1618,48048],[4,14,"t","(4,4,3,1,1,1)",35035,2125,"lower bound",2125,35035],[4,14,"t","(4,4,2,2,2)",21450,1148,"lower bound",1148,21450],[4,14,"t","(4,4,2,2,1,1)",42042,2079,"lower bound",2079,42042],[4,14,"t","(4,4,2,1,1,1,1)",28028,2978,"lower bound",2978,28028],[4,14,"t","(4,4,1,1,1,1,1,1)",7644,1914,"lower bound",1914,5596],[4,14,"t","(4,3,3,3,1)",21021,905,"lower bound",905,21021],[4,14,"t","(4,3,3,2,2)",27027,1470,"lower bound",1470,27027],[4,14,"t","(4,3,3,2,1,1)",50050,1902,"lower bound",1902,50050],[4,14,"t","(4,3,3,1,1,1,1)",27027,2997,"lower bound",2997,27027],[4,14,"t","(4,3,2,2,2,1)",36608,2262,"lower bound",2262,36608],[4,14,"t","(4,3,2,2,1,1,1)",42042,3654,"lower bound",3654,42042],[4,14,"t","(4,3,2,1,1,1,1,1)",23296,3760,"lower bound",3760,23296],[4,14,"t","(4,3,1,1,1,1,1,1,1)",6006,2371,"lower bound",2371,4358],[4,14,"t","(4,2,2,2,2,2)",7007,962,"lower bound",962,4523],[4,14,"t","(4,2,2,2,2,1,1)",15444,2848,"lower bound",2848,10198],[4,14,"t","(4,2,2,2,1,1,1,1)",13650,3760,"lower bound",3760,11072],[4,14,"t","(4,2,2,1,1,1,1,1,1)",7007,2811,"lower bound",2811,5106],[4,14,"t","(4,2,1,1,1,1,1,1,1,1)",2079,1144,"lower bound",1144,1559],[4,14,"t","(4,1,1,1,1,1,1,1,1,1,1)",286,201,"lower bound",201,224],[4,14,"t","(3,3,3,3,2)",6006,352,"lower bound",352,3689],[4,14,"t","(3,3,3,3,1,1)",9009,793,"lower bound",793,5663],[4,14,"t","(3,3,3,2,2,1)",15015,1555,"lower bound",1555,9573],[4,14,"t","(3,3,3,2,1,1,1)",16016,2582,"lower bound",2582,10544],[4,14,"t","(3,3,3,1,1,1,1,1)",7007,1864,"lower bound",1864,4959],[4,14,"t","(3,3,2,2,2,2)",6435,871,"lower bound",871,4207],[4,14,"t","(3,3,2,2,2,1,1)",14014,2584,"lower bound",2584,9350],[4,14,"t","(3,3,2,2,1,1,1,1)",12012,3314,"lower bound",3314,8948],[4,14,"t","(3,3,2,1,1,1,1,1,1)",5733,2313,"lower bound",2313,4187],[4,14,"t","(3,3,1,1,1,1,1,1,1,1)",1365,751,"lower bound",751,1028],[4,14,"t","(3,2,2,2,2,2,1)",4576,1005,"lower bound",1005,3109],[4,14,"t","(3,2,2,2,2,1,1,1)",6006,1801,"lower bound",1801,4195],[4,14,"t","(3,2,2,2,1,1,1,1,1)",4368,1815,"lower bound",1815,3165],[4,14,"t","(3,2,2,1,1,1,1,1,1,1)",2002,1112,"lower bound",1112,1504],[4,14,"t","(3,2,1,1,1,1,1,1,1,1,1)",560,394,"lower bound",394,437],[4,14,"t","(3,1,1,1,1,1,1,1,1,1,1,1)",78,66,"exact",66,66],[4,14,"t","(2,2,2,2,2,2,2)",429,114,"lower bound",114,295],[4,14,"t","(2,2,2,2,2,2,1,1)",1001,329,"lower bound",329,705],[4,14,"t","(2,2,2,2,2,1,1,1,1)",1001,434,"lower bound",434,725],[4,14,"t","(2,2,2,2,1,1,1,1,1,1)",637,357,"lower bound",357,477],[4,14,"t","(2,2,2,1,1,1,1,1,1,1,1)",273,191,"lower bound",191,212],[4,14,"t","(2,2,1,1,1,1,1,1,1,1,1,1)",77,65,"exact",65,65],[4,14,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1)",13,13,"exact",13,13],[4,14,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,14,"t","(13,1)",13,0,"exact",0,0],[4,14,"t","(12,2)",77,0,"exact",0,0],[4,14,"t","(12,1,1)",78,0,"exact",0,0],[4,14,"t","(11,3)",273,35,"upper bound",0,35],[4,14,"t","(11,1,1,1)",286,35,"upper bound",0,35],[4,14,"t","(11,2,1)",560,70,"upper bound",0,70],[4,14,"t","(8,4,2)",12012,10,"lower bound",10,4297],[4,15,"t","(15)",1,0,"exact",0,0],[4,15,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,15,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1)",14,14,"exact",14,14],[4,15,"t","(14,1)",14,0,"exact",0,0],[4,15,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1)",90,84,"exact",84,84],[4,15,"t","(13,2)",90,0,"exact",0,0],[4,15,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1)",91,85,"exact",85,85],[4,15,"t","(13,1,1)",91,0,"exact",0,0],[4,15,"t","(2,2,2,1,1,1,1,1,1,1,1,1)",350,289,"lower bound",289,311],[4,15,"t","(12,3)",350,56,"upper bound",0,56],[4,15,"t","(4,1,1,1,1,1,1,1,1,1,1,1)",364,302,"lower bound",302,326],[4,15,"t","(12,1,1,1)",364,56,"upper bound",0,56],[4,15,"t","(3,2,1,1,1,1,1,1,1,1,1,1)",715,595,"lower bound",595,642],[4,15,"t","(12,2,1)",715,112,"upper bound",0,112],[4,15,"t","(2,2,2,2,1,1,1,1,1,1,1)",910,658,"lower bound",658,799],[4,15,"t","(11,4)",910,5,"lower bound",5,248],[4,15,"t","(5,1,1,1,1,1,1,1,1,1,1)",1001,716,"lower bound",716,879],[4,15,"t","(11,1,1,1,1)",1001,5,"lower bound",5,343],[4,15,"t","(2,2,2,2,2,2,2,1)",1430,652,"lower bound",652,1183],[4,15,"t","(8,7)",1430,9,"lower bound",9,620],[4,15,"t","(2,2,2,2,2,1,1,1,1,1)",1638,1012,"lower bound",1012,1406],[4,15,"t","(10,5)",1638,13,"lower bound",13,580],[4,15,"t","(3,3,1,1,1,1,1,1,1,1,1)",1925,1391,"lower bound",1391,1697],[4,15,"t","(11,2,2)",1925,10,"lower bound",10,568],[4,15,"t","(2,2,2,2,2,2,1,1,1)",2002,1049,"lower bound",1049,1683],[4,15,"t","(6,1,1,1,1,1,1,1,1,1)",2002,1164,"lower bound",1164,1691],[4,15,"t","(9,6)",2002,14,"lower bound",14,813],[4,15,"t","(10,1,1,1,1,1)",2002,91,"lower bound",91,983],[4,15,"t","(3,2,2,1,1,1,1,1,1,1,1)",2835,2052,"lower bound",2052,2496],[4,15,"t","(11,3,1)",2835,15,"lower bound",15,806],[4,15,"t","(4,2,1,1,1,1,1,1,1,1,1)",2925,2108,"lower bound",2108,2575],[4,15,"t","(11,2,1,1)",2925,15,"lower bound",15,898],[4,15,"t","(7,1,1,1,1,1,1,1,1)",3003,1303,"lower bound",1303,2399],[4,15,"t","(9,1,1,1,1,1,1)",3003,437,"lower bound",437,1849],[4,15,"t","(8,1,1,1,1,1,1,1)",3432,975,"lower bound",975,2485],[4,15,"t","(3,2,2,2,2,2,2)",5005,1815,"lower bound",1815,4066],[4,15,"t","(7,7,1)",5005,20,"lower bound",20,2499],[4,15,"t","(3,3,3,3,3)",6006,786,"lower bound",786,4537],[4,15,"t","(5,5,5)",6006,91,"lower bound",91,3657],[4,15,"t","(3,2,2,2,1,1,1,1,1,1)",7007,4096,"lower bound",4096,6035],[4,15,"t","(10,4,1)",7007,37,"lower bound",37,2665],[4,15,"t","(5,2,1,1,1,1,1,1,1,1)",7722,4096,"lower bound",4096,6600],[4,15,"t","(10,2,1,1,1)",7722,188,"lower bound",188,3443],[4,15,"t","(3,3,2,1,1,1,1,1,1,1)",9100,4176,"lower bound",4176,9003],[4,15,"t","(10,3,2)",9100,70,"lower bound",70,3585],[4,15,"t","(4,3,1,1,1,1,1,1,1,1)",9450,4266,"lower bound",4266,9254],[4,15,"t","(10,2,2,1)",9450,148,"lower bound",148,3969],[4,15,"t","(4,2,2,1,1,1,1,1,1,1)",11088,5067,"lower bound",5067,10959],[4,15,"t","(10,3,1,1)",11088,121,"lower bound",121,4536],[4,15,"t","(9,5,1)",11375,38,"lower bound",38,5046],[4,15,"t","(8,6,1)",11583,37,"lower bound",37,5572],[4,15,"t","(3,3,3,1,1,1,1,1,1)",12740,4177,"lower bound",4177,12236],[4,15,"t","(9,3,3)",12740,100,"lower bound",100,6063],[4,15,"t","(4,4,1,1,1,1,1,1,1)",13650,4285,"lower bound",4285,13281],[4,15,"t","(9,2,2,2)",13650,389,"lower bound",389,7054],[4,15,"t","(6,2,1,1,1,1,1,1,1)",14300,4443,"lower bound",4443,13808],[4,15,"t","(9,2,1,1,1,1)",14300,1071,"lower bound",1071,8138],[4,15,"t","(7,2,1,1,1,1,1,1)",19305,3613,"lower bound",3613,14598],[4,15,"t","(8,2,1,1,1,1,1)",19305,2553,"lower bound",2553,13008],[4,15,"t","(3,2,2,2,2,1,1,1,1)",11375,4096,"lower bound",4096,11375],[4,15,"t","(3,2,2,2,2,2,1,1)",11583,3843,"lower bound",3843,11583],[4,15,"t","(3,3,2,2,1,1,1,1,1)",22113,7442,"lower bound",7442,22113],[4,15,"t","(3,3,2,2,2,1,1,1)",32032,7699,"lower bound",7699,32032],[4,15,"t","(3,3,2,2,2,2,1)",25025,4460,"lower bound",4460,25025],[4,15,"t","(3,3,3,2,1,1,1,1)",35035,7760,"lower bound",7760,35035],[4,15,"t","(3,3,3,2,2,1,1)",45045,6721,"lower bound",6721,45045],[4,15,"t","(3,3,3,2,2,2)",21450,3065,"lower bound",3065,21450],[4,15,"t","(3,3,3,3,1,1,1)",25025,3375,"lower bound",3375,25025],[4,15,"t","(3,3,3,3,2,1)",30030,2803,"lower bound",2803,30030],[4,15,"t","(4,2,2,2,1,1,1,1,1)",25025,8386,"lower bound",8386,25025],[4,15,"t","(4,2,2,2,2,1,1,1)",35100,8409,"lower bound",8409,35100],[4,15,"t","(4,2,2,2,2,2,1)",27027,4815,"lower bound",4815,27027],[4,15,"t","(4,3,2,1,1,1,1,1,1)",42042,11255,"lower bound",11255,42042],[4,15,"t","(4,3,2,2,1,1,1,1)",91000,14488,"lower bound",14488,91000],[4,15,"t","(4,3,2,2,2,1,1)",108108,11348,"lower bound",11348,108108],[4,15,"t","(4,3,2,2,2,2)",50050,4095,"lower bound",4095,50050],[4,15,"t","(4,3,3,1,1,1,1,1)",57330,8621,"lower bound",8621,57330],[4,15,"t","(4,3,3,2,1,1,1)",135135,11135,"lower bound",11135,135135],[4,15,"t","(4,3,3,2,2,1)",128700,7189,"lower bound",7189,128700],[4,15,"t","(4,3,3,3,1,1)",80080,3600,"lower bound",3600,80080],[4,15,"t","(4,3,3,3,2)",54054,2727,"lower bound",2727,54054],[4,15,"t","(4,4,2,1,1,1,1,1)",58968,8652,"lower bound",8652,58968],[4,15,"t","(4,4,2,2,1,1,1)",112112,8711,"lower bound",8711,112112],[4,15,"t","(4,4,2,2,2,1)",100100,5489,"lower bound",5489,100100],[4,15,"t","(4,4,3,1,1,1,1)",90090,8100,"lower bound",8100,90090],[4,15,"t","(4,4,3,2,1,1)",175175,7724,"lower bound",7724,175175],[4,15,"t","(4,4,3,2,2)",96525,4236,"lower bound",4236,96525],[4,15,"t","(4,4,3,3,1)",81081,2754,"lower bound",2754,81081],[4,15,"t","(4,4,4,1,1,1)",50050,2577,"lower bound",2577,50050],[4,15,"t","(4,4,4,2,1)",75075,2266,"lower bound",2266,75075],[4,15,"t","(4,4,4,3)",24024,1205,"lower bound",1205,24024],[4,15,"t","(5,2,2,1,1,1,1,1,1)",26950,7749,"lower bound",7749,26950],[4,15,"t","(5,2,2,2,1,1,1,1)",53625,9778,"lower bound",9778,53625],[4,15,"t","(5,2,2,2,2,1,1)",61425,8046,"lower bound",8046,61425],[4,15,"t","(5,2,2,2,2,2)",28028,3140,"lower bound",3140,28028],[4,15,"t","(5,3,1,1,1,1,1,1,1)",24948,7228,"lower bound",7228,24948],[4,15,"t","(5,3,2,1,1,1,1,1)",100100,13395,"lower bound",13395,100100],[4,15,"t","(5,3,2,2,1,1,1)",184275,12989,"lower bound",12989,184275],[4,15,"t","(5,3,2,2,2,1)",162162,8929,"lower bound",8929,162162],[4,15,"t","(5,3,3,1,1,1,1)",122850,8411,"lower bound",8411,122850],[4,15,"t","(5,3,3,2,1,1)",231660,7594,"lower bound",7594,231660],[4,15,"t","(5,3,3,2,2)",126126,4767,"lower bound",4767,126126],[4,15,"t","(5,3,3,3,1)",100100,2620,"lower bound",2620,100100],[4,15,"t","(5,4,1,1,1,1,1,1)",42042,7412,"lower bound",7412,42042],[4,15,"t","(5,4,2,1,1,1,1)",159250,11207,"lower bound",11207,159250],[4,15,"t","(5,4,2,2,1,1)",243243,7954,"lower bound",7954,243243],[4,15,"t","(5,4,2,2,2)",125125,4394,"lower bound",4394,125125],[4,15,"t","(5,4,3,1,1,1)",210210,7135,"lower bound",7135,210210],[4,15,"t","(5,4,3,2,1)",292864,6553,"lower bound",6553,292864],[4,15,"t","(5,4,3,3)",75075,1335,"lower bound",1335,75075],[4,15,"t","(5,4,4,1,1)",100100,2058,"lower bound",2058,100100],[4,15,"t","(5,4,4,2)",81081,1206,"lower bound",1206,81081],[4,15,"t","(5,5,1,1,1,1,1)",34398,3407,"lower bound",3407,34398],[4,15,"t","(5,5,2,1,1,1)",112112,3705,"lower bound",3705,112112],[4,15,"t","(5,5,2,2,1)",125125,2621,"lower bound",2621,125125],[4,15,"t","(5,5,3,1,1)",126126,2632,"lower bound",2632,126126],[4,15,"t","(5,5,3,2)",96525,1403,"lower bound",1403,96525],[4,15,"t","(5,5,4,1)",54054,819,"lower bound",819,54054],[4,15,"t","(6,2,2,1,1,1,1,1)",44550,7771,"lower bound",7771,44550],[4,15,"t","(6,2,2,2,1,1,1)",75075,7878,"lower bound",7878,75075],[4,15,"t","(6,2,2,2,2,1)",63700,5029,"lower bound",5029,63700],[4,15,"t","(6,3,1,1,1,1,1,1)",43120,7411,"lower bound",7411,43120],[4,15,"t","(6,3,2,1,1,1,1)",150150,10777,"lower bound",10777,150150],[4,15,"t","(6,3,2,2,1,1)",221130,7815,"lower bound",7815,221130],[4,15,"t","(6,3,2,2,2)",112112,4013,"lower bound",4013,112112],[4,15,"t","(6,3,3,1,1,1)",156000,4747,"lower bound",4747,156000],[4,15,"t","(6,3,3,2,1)",210210,4593,"lower bound",4593,210210],[4,15,"t","(6,3,3,3)",50050,1066,"lower bound",1066,50050],[4,15,"t","(6,4,1,1,1,1,1)",70070,6646,"lower bound",6646,70070],[4,15,"t","(6,4,2,1,1,1)",221130,6395,"lower bound",6395,221130],[4,15,"t","(6,4,2,2,1)",243243,4428,"lower bound",4428,243243],[4,15,"t","(6,4,3,1,1)",231660,4260,"lower bound",4260,231660],[4,15,"t","(6,4,3,2)",175175,2470,"lower bound",2470,175175],[4,15,"t","(6,4,4,1)",80080,835,"lower bound",835,80080],[4,15,"t","(6,5,1,1,1,1)",63700,2809,"lower bound",2809,63700],[4,15,"t","(6,5,2,1,1)",162162,2785,"lower bound",2785,162162],[4,15,"t","(6,5,2,2)",100100,1239,"lower bound",1239,100100],[4,15,"t","(6,5,3,1)",128700,1144,"lower bound",1144,128700],[4,15,"t","(6,5,4)",30030,404,"lower bound",404,30030],[4,15,"t","(6,6,1,1,1)",28028,1137,"lower bound",1137,28028],[4,15,"t","(6,6,2,1)",50050,908,"lower bound",908,50050],[4,15,"t","(6,6,3)",21450,256,"lower bound",256,21450],[4,15,"t","(7,2,2,1,1,1,1)",51975,5303,"lower bound",5303,51975],[4,15,"t","(7,2,2,2,1,1)",70070,4121,"lower bound",4121,70070],[4,15,"t","(7,2,2,2,2)",34398,1896,"lower bound",1896,34398],[4,15,"t","(7,3,1,1,1,1,1)",51975,4835,"lower bound",4835,51975],[4,15,"t","(7,3,2,1,1,1)",150150,5308,"lower bound",5308,150150],[4,15,"t","(7,3,2,2,1)",159250,3487,"lower bound",3487,159250],[4,15,"t","(7,3,3,1,1)",122850,2559,"lower bound",2559,122850],[4,15,"t","(7,3,3,2)",90090,1180,"lower bound",1180,90090],[4,15,"t","(7,4,1,1,1,1)",75075,3141,"lower bound",3141,75075],[4,15,"t","(7,4,2,1,1)",184275,2888,"lower bound",2888,184275],[4,15,"t","(7,4,2,2)",112112,1272,"lower bound",1272,112112],[4,15,"t","(7,4,3,1)",135135,1054,"lower bound",1054,135135],[4,15,"t","(7,4,4)",25025,277,"lower bound",277,25025],[4,15,"t","(7,5,1,1,1)",61425,1418,"lower bound",1418,61425],[4,15,"t","(7,5,2,1)",108108,681,"lower bound",681,108108],[4,15,"t","(7,5,3)",45045,463,"lower bound",463,45045],[4,15,"t","(7,6,1,1)",27027,353,"lower bound",353,27027],[4,15,"t","(7,6,2)",25025,183,"lower bound",183,25025],[4,15,"t","(8,2,2,1,1,1)",43120,2001,"lower bound",2001,43120],[4,15,"t","(8,2,2,2,1)",42042,1705,"lower bound",1705,42042],[4,15,"t","(8,3,1,1,1,1)",44550,1737,"lower bound",1737,44550],[4,15,"t","(8,3,2,1,1)",100100,1697,"lower bound",1697,100100],[4,15,"t","(8,3,2,2)",58968,926,"lower bound",926,58968],[4,15,"t","(8,3,3,1)",57330,1027,"lower bound",1027,57330],[4,15,"t","(8,4,1,1,1)",53625,1062,"lower bound",1062,53625],[4,15,"t","(8,4,2,1)",91000,464,"lower bound",464,91000],[4,15,"t","(8,4,3)",35035,288,"lower bound",288,35035],[4,15,"t","(8,5,1,1)",35100,397,"lower bound",397,35100],[4,15,"t","(8,5,2)",32032,187,"lower bound",187,32032],[4,15,"t","(9,2,2,1,1)",24948,904,"lower bound",904,24948],[4,15,"t","(9,3,1,1,1)",26950,832,"lower bound",832,26950],[4,15,"t","(9,3,2,1)",42042,617,"lower bound",617,42042],[4,15,"t","(9,4,1,1)",25025,255,"lower bound",255,25025],[4,15,"t","(9,4,2)",22113,118,"lower bound",118,22113],[4,16,"t","(16)",1,0,"exact",0,0],[4,16,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,16,"t","(15,1)",15,0,"exact",0,0],[4,16,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1)",104,101,"exact",101,101],[4,16,"t","(14,2)",104,0,"exact",0,0],[4,16,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1)",105,102,"exact",102,102],[4,16,"t","(14,1,1)",105,0,"exact",0,0],[4,16,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1)",440,403,"lower bound",403,421],[4,16,"t","(13,3)",440,84,"upper bound",0,84],[4,16,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1)",455,418,"lower bound",418,437],[4,16,"t","(13,1,1,1)",455,84,"upper bound",0,84],[4,16,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1)",896,824,"lower bound",824,860],[4,16,"t","(13,2,1)",896,168,"upper bound",0,168],[4,16,"t","(2,2,2,2,1,1,1,1,1,1,1,1)",1260,1070,"lower bound",1070,1195],[4,16,"t","(12,4)",1260,15,"lower bound",15,416],[4,16,"t","(5,1,1,1,1,1,1,1,1,1,1,1)",1365,1154,"lower bound",1154,1296],[4,16,"t","(12,1,1,1,1)",1365,15,"lower bound",15,547],[4,16,"t","(2,2,2,2,2,2,2,2)",1430,889,"lower bound",889,1293],[4,16,"t","(8,8)",1430,30,"lower bound",30,783],[4,16,"t","(11,5)",2548,56,"lower bound",56,1097],[4,16,"t","(3,3,1,1,1,1,1,1,1,1,1,1)",2640,2255,"lower bound",2255,2513],[4,16,"t","(12,2,2)",2640,30,"lower bound",30,936],[4,16,"t","(6,1,1,1,1,1,1,1,1,1,1)",3003,2260,"lower bound",2260,2802],[4,16,"t","(11,1,1,1,1,1)",3003,211,"lower bound",211,1701],[4,16,"t","(9,7)",3432,78,"lower bound",78,1822],[4,16,"t","(10,6)",3640,93,"lower bound",93,1800],[4,16,"t","(12,3,1)",3900,45,"lower bound",45,1367],[4,16,"t","(4,2,1,1,1,1,1,1,1,1,1,1)",4004,3407,"lower bound",3407,3809],[4,16,"t","(12,2,1,1)",4004,45,"lower bound",45,1482],[4,16,"t","(7,1,1,1,1,1,1,1,1,1)",5005,2467,"lower bound",2467,4531],[4,16,"t","(10,1,1,1,1,1,1)",5005,528,"lower bound",528,3486],[4,16,"t","(8,1,1,1,1,1,1,1,1)",6435,2278,"lower bound",2278,5561],[4,16,"t","(9,1,1,1,1,1,1,1)",6435,1412,"lower bound",1412,5134],[4,16,"t","(11,4,1)",10752,57,"lower bound",57,4934],[4,16,"t","(11,2,1,1,1)",11648,208,"lower bound",208,6111],[4,16,"t","(11,3,2)",13860,95,"lower bound",95,6562],[4,16,"t","(11,2,2,1)",14300,173,"lower bound",173,7146],[4,16,"t","(11,3,1,1)",16848,151,"lower bound",151,8228],[4,16,"t","(8,7,1)",18018,66,"lower bound",66,10859],[4,16,"t","(10,2,1,1,1,1)",24024,1350,"lower bound",1350,24024],[4,16,"t","(10,2,2,1,1)",42120,1240,"lower bound",1240,42120],[4,16,"t","(10,2,2,2)",23100,537,"lower bound",537,23100],[4,16,"t","(10,3,1,1,1)",45760,1141,"lower bound",1141,45760],[4,16,"t","(10,3,2,1)",71680,956,"lower bound",956,71680],[4,16,"t","(10,3,3)",21840,170,"lower bound",170,21840],[4,16,"t","(10,4,1,1)",43120,413,"lower bound",413,43120],[4,16,"t","(10,4,2)",38220,225,"lower bound",225,38220],[4,16,"t","(10,5,1)",20020,88,"lower bound",88,20020],[4,16,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",15,15,"exact",15,15],[4,16,"t","(2,2,2,2,2,1,1,1,1,1,1)",2548,1985,"lower bound",1985,2548],[4,16,"t","(2,2,2,2,2,2,1,1,1,1)",3640,2589,"lower bound",2589,3640],[4,16,"t","(2,2,2,2,2,2,2,1,1)",3432,2245,"lower bound",2245,3432],[4,16,"t","(3,2,2,1,1,1,1,1,1,1,1,1)",3900,3323,"lower bound",3323,3900],[4,16,"t","(3,2,2,2,1,1,1,1,1,1,1)",10752,6806,"lower bound",6806,10752],[4,16,"t","(3,2,2,2,2,1,1,1,1,1)",20020,9204,"lower bound",9204,20020],[4,16,"t","(3,2,2,2,2,2,1,1,1)",24960,8988,"lower bound",8988,24960],[4,16,"t","(3,2,2,2,2,2,2,1)",18018,6310,"lower bound",6310,18018],[4,16,"t","(3,3,2,1,1,1,1,1,1,1,1)",13860,7619,"lower bound",7619,13860],[4,16,"t","(3,3,2,2,1,1,1,1,1,1)",38220,15714,"lower bound",15714,38220],[4,16,"t","(3,3,2,2,2,1,1,1,1)",65520,19237,"lower bound",19237,65520],[4,16,"t","(3,3,2,2,2,2,1,1)",68640,16002,"lower bound",16002,68640],[4,16,"t","(3,3,2,2,2,2,2)",30030,6275,"lower bound",6275,30030],[4,16,"t","(3,3,3,1,1,1,1,1,1,1)",21840,8353,"lower bound",8353,21840],[4,16,"t","(3,3,3,2,1,1,1,1,1)",69888,19379,"lower bound",19379,69888],[4,16,"t","(3,3,3,2,2,1,1,1)",112112,22180,"lower bound",22180,112112],[4,16,"t","(3,3,3,2,2,2,1)",91520,14246,"lower bound",14246,91520],[4,16,"t","(3,3,3,3,1,1,1,1)",60060,11135,"lower bound",11135,60060],[4,16,"t","(3,3,3,3,2,1,1)",100100,12899,"lower bound",12899,100100],[4,16,"t","(3,3,3,3,2,2)",51480,5868,"lower bound",5868,51480],[4,16,"t","(3,3,3,3,3,1)",36036,3589,"lower bound",3589,36036],[4,16,"t","(4,2,2,1,1,1,1,1,1,1,1)",16848,9227,"lower bound",9227,16848],[4,16,"t","(4,2,2,2,1,1,1,1,1,1)",43120,17549,"lower bound",17549,43120],[4,16,"t","(4,2,2,2,2,1,1,1,1)",71500,20891,"lower bound",20891,71500],[4,16,"t","(4,2,2,2,2,2,1,1)",73710,17067,"lower bound",17067,73710],[4,16,"t","(4,2,2,2,2,2,2)",32032,6630,"lower bound",6630,32032],[4,16,"t","(4,3,1,1,1,1,1,1,1,1,1)",14300,7765,"lower bound",7765,14300],[4,16,"t","(4,3,2,1,1,1,1,1,1,1)",71680,24764,"lower bound",24764,71680],[4,16,"t","(4,3,2,2,1,1,1,1,1)",180180,41571,"lower bound",41571,180180],[4,16,"t","(4,3,2,2,2,1,1,1)",266240,41944,"lower bound",41944,266240],[4,16,"t","(4,3,2,2,2,2,1)",210210,24718,"lower bound",24718,210210],[4,16,"t","(4,3,3,1,1,1,1,1,1)",112112,24053,"lower bound",24053,112112],[4,16,"t","(4,3,3,2,1,1,1,1)",318500,42004,"lower bound",42004,318500],[4,16,"t","(4,3,3,2,2,1,1)",416988,36393,"lower bound",36393,416988],[4,16,"t","(4,3,3,2,2,2)",200200,14349,"lower bound",14349,200200],[4,16,"t","(4,3,3,3,1,1,1)",240240,18110,"lower bound",18110,240240],[4,16,"t","(4,3,3,3,2,1)",292864,16319,"lower bound",16319,292864],[4,16,"t","(4,3,3,3,3)",60060,3513,"lower bound",3513,60060],[4,16,"t","(4,4,1,1,1,1,1,1,1,1)",23100,8551,"lower bound",8551,23100],[4,16,"t","(4,4,2,1,1,1,1,1,1)",114660,24192,"lower bound",24192,114660],[4,16,"t","(4,4,2,2,1,1,1,1)",262080,31851,"lower bound",31851,262080],[4,16,"t","(4,4,2,2,2,1,1)",320320,25548,"lower bound",25548,320320],[4,16,"t","(4,4,2,2,2,2)",150150,9584,"lower bound",9584,150150],[4,16,"t","(4,4,3,1,1,1,1,1)",206388,25373,"lower bound",25373,206388],[4,16,"t","(4,4,3,2,1,1,1)",512512,35670,"lower bound",35670,512512],[4,16,"t","(4,4,3,2,2,1)",500500,24638,"lower bound",24638,500500],[4,16,"t","(4,4,3,3,1,1)",336336,14078,"lower bound",14078,336336],[4,16,"t","(4,4,3,3,2)",231660,9717,"lower bound",9717,231660],[4,16,"t","(4,4,4,1,1,1,1)",140140,10677,"lower bound",10677,140140],[4,16,"t","(4,4,4,2,1,1)",300300,12567,"lower bound",12567,300300],[4,16,"t","(4,4,4,2,2)",171600,6502,"lower bound",6502,171600],[4,16,"t","(4,4,4,3,1)",180180,6225,"lower bound",6225,180180],[4,16,"t","(4,4,4,4)",24024,1205,"lower bound",1205,24024],[4,16,"t","(5,2,1,1,1,1,1,1,1,1,1)",11648,6920,"lower bound",6920,11648],[4,16,"t","(5,2,2,1,1,1,1,1,1,1)",45760,16912,"lower bound",16912,45760],[4,16,"t","(5,2,2,2,1,1,1,1,1)",105600,25913,"lower bound",25913,105600],[4,16,"t","(5,2,2,2,2,1,1,1)",150150,26233,"lower bound",26233,150150],[4,16,"t","(5,2,2,2,2,2,1)",116480,16001,"lower bound",16001,116480],[4,16,"t","(5,3,1,1,1,1,1,1,1,1)",42120,15590,"lower bound",15590,42120],[4,16,"t","(5,3,2,1,1,1,1,1,1)",194040,39627,"lower bound",39627,194040],[4,16,"t","(5,3,2,2,1,1,1,1)",429000,50650,"lower bound",50650,429000],[4,16,"t","(5,3,2,2,2,1,1)",515970,41312,"lower bound",41312,515970],[4,16,"t","(5,3,2,2,2,2)",240240,16164,"lower bound",16164,240240],[4,16,"t","(5,3,3,1,1,1,1,1)",280280,30427,"lower bound",30427,280280],[4,16,"t","(5,3,3,2,1,1,1)",673920,40129,"lower bound",40129,673920],[4,16,"t","(5,3,3,2,2,1)",648648,28479,"lower bound",28479,648648],[4,16,"t","(5,3,3,3,1,1)",411840,13814,"lower bound",13814,411840],[4,16,"t","(5,3,3,3,2)",280280,10114,"lower bound",10114,280280],[4,16,"t","(5,4,1,1,1,1,1,1,1)",80640,18925,"lower bound",18925,80640],[4,16,"t","(5,4,2,1,1,1,1,1)",360360,40666,"lower bound",40666,360360],[4,16,"t","(5,4,2,2,1,1,1)",698880,40861,"lower bound",40861,698880],[4,16,"t","(5,4,2,2,2,1)",630630,26766,"lower bound",26766,630630],[4,16,"t","(5,4,3,1,1,1,1)",582400,34853,"lower bound",34853,582400],[4,16,"t","(5,4,3,2,1,1)",1153152,36960,"lower bound",36960,1153152],[4,16,"t","(5,4,3,2,2)",640640,19950,"lower bound",19950,640640],[4,16,"t","(5,4,3,3,1)",549120,13262,"lower bound",13262,549120],[4,16,"t","(5,4,4,1,1,1)",360360,11770,"lower bound",11770,360360],[4,16,"t","(5,4,4,2,1)",549120,12083,"lower bound",12083,549120],[4,16,"t","(5,4,4,3)",180180,3746,"lower bound",3746,180180],[4,16,"t","(5,5,1,1,1,1,1,1)",76440,10819,"lower bound",10819,76440],[4,16,"t","(5,5,2,1,1,1,1)",305760,18319,"lower bound",18319,305760],[4,16,"t","(5,5,2,2,1,1)",480480,14280,"lower bound",14280,480480],[4,16,"t","(5,5,2,2,2)",250250,7015,"lower bound",7015,250250],[4,16,"t","(5,5,3,1,1,1)",448448,13472,"lower bound",13472,448448],[4,16,"t","(5,5,3,2,1)",640640,13209,"lower bound",13209,640640],[4,16,"t","(5,5,3,3)",171600,2738,"lower bound",2738,171600],[4,16,"t","(5,5,4,1,1)",280280,5509,"lower bound",5509,280280],[4,16,"t","(5,5,4,2)",231660,3428,"lower bound",3428,231660],[4,16,"t","(5,5,5,1)",60060,910,"lower bound",910,60060],[4,16,"t","(6,2,1,1,1,1,1,1,1,1)",24024,9703,"lower bound",9703,24024],[4,16,"t","(6,2,2,1,1,1,1,1,1)",85800,19963,"lower bound",19963,85800],[4,16,"t","(6,2,2,2,1,1,1,1)",173250,25427,"lower bound",25427,173250],[4,16,"t","(6,2,2,2,2,1,1)",200200,20953,"lower bound",20953,200200],[4,16,"t","(6,2,2,2,2,2)",91728,8169,"lower bound",8169,91728],[4,16,"t","(6,3,1,1,1,1,1,1,1)",82368,19082,"lower bound",19082,82368],[4,16,"t","(6,3,2,1,1,1,1,1)",337920,39354,"lower bound",39354,337920],[4,16,"t","(6,3,2,2,1,1,1)",630630,39459,"lower bound",39459,630630],[4,16,"t","(6,3,2,2,2,1)",559104,25786,"lower bound",25786,559104],[4,16,"t","(6,3,3,1,1,1,1)",429000,23935,"lower bound",23935,429000],[4,16,"t","(6,3,3,2,1,1)",819000,24749,"lower bound",24749,819000],[4,16,"t","(6,3,3,2,2)",448448,13373,"lower bound",13373,448448],[4,16,"t","(6,3,3,3,1)",360360,8279,"lower bound",8279,360360],[4,16,"t","(6,4,1,1,1,1,1,1)",155232,21469,"lower bound",21469,155232],[4,16,"t","(6,4,2,1,1,1,1)",600600,35025,"lower bound",35025,600600],[4,16,"t","(6,4,2,2,1,1)",928746,26592,"lower bound",26592,928746],[4,16,"t","(6,4,2,2,2)",480480,12835,"lower bound",12835,480480],[4,16,"t","(6,4,3,1,1,1)",819000,22537,"lower bound",22537,819000],[4,16,"t","(6,4,3,2,1)",1153152,22304,"lower bound",22304,1153152],[4,16,"t","(6,4,3,3)",300300,4871,"lower bound",4871,300300],[4,16,"t","(6,4,4,1,1)",411840,7153,"lower bound",7153,411840],[4,16,"t","(6,4,4,2)",336336,4511,"lower bound",4511,336336],[4,16,"t","(6,5,1,1,1,1,1)",168168,12862,"lower bound",12862,168168],[4,16,"t","(6,5,2,1,1,1)",559104,15694,"lower bound",15694,559104],[4,16,"t","(6,5,2,2,1)",630630,11073,"lower bound",11073,630630],[4,16,"t","(6,5,3,1,1)",648648,10821,"lower bound",10821,648648],[4,16,"t","(6,5,3,2)",500500,6256,"lower bound",6256,500500],[4,16,"t","(6,5,4,1)",292864,3202,"lower bound",3202,292864],[4,16,"t","(6,5,5)",36036,495,"lower bound",495,36036],[4,16,"t","(6,6,1,1,1,1)",91728,3946,"lower bound",3946,91728],[4,16,"t","(6,6,2,1,1)",240240,4830,"lower bound",4830,240240],[4,16,"t","(6,6,2,2)",150150,2147,"lower bound",2147,150150],[4,16,"t","(6,6,3,1)",200200,2308,"lower bound",2308,200200],[4,16,"t","(6,6,4)",51480,660,"lower bound",660,51480],[4,16,"t","(7,2,1,1,1,1,1,1,1)",36608,9359,"lower bound",9359,36608],[4,16,"t","(7,2,2,1,1,1,1,1)",115830,16687,"lower bound",16687,115830],[4,16,"t","(7,2,2,2,1,1,1)",197120,17302,"lower bound",17302,197120],[4,16,"t","(7,2,2,2,2,1)",168168,11046,"lower bound",11046,168168],[4,16,"t","(7,3,1,1,1,1,1,1)",114400,15859,"lower bound",15859,114400],[4,16,"t","(7,3,2,1,1,1,1)",404250,26223,"lower bound",26223,404250],[4,16,"t","(7,3,2,2,1,1)",600600,20731,"lower bound",20731,600600],[4,16,"t","(7,3,2,2,2)",305760,9396,"lower bound",9396,305760],[4,16,"t","(7,3,3,1,1,1)",429000,12614,"lower bound",12614,429000],[4,16,"t","(7,3,3,2,1)",582400,11819,"lower bound",11819,582400],[4,16,"t","(7,3,3,3)",140140,2246,"lower bound",2246,140140],[4,16,"t","(7,4,1,1,1,1,1)",197120,14622,"lower bound",14622,197120],[4,16,"t","(7,4,2,1,1,1)",630630,17732,"lower bound",17732,630630],[4,16,"t","(7,4,2,2,1)",698880,12075,"lower bound",12075,698880],[4,16,"t","(7,4,3,1,1)",673920,10761,"lower bound",10761,673920],[4,16,"t","(7,4,3,2)",512512,5976,"lower bound",5976,512512],[4,16,"t","(7,4,4,1)",240240,2166,"lower bound",2166,240240],[4,16,"t","(7,5,1,1,1,1)",200200,7368,"lower bound",7368,200200],[4,16,"t","(7,5,2,1,1)",515970,7772,"lower bound",7772,515970],[4,16,"t","(7,5,2,2)",320320,3192,"lower bound",3192,320320],[4,16,"t","(7,5,3,1)",416988,3342,"lower bound",3342,416988],[4,16,"t","(7,5,4)",100100,1144,"lower bound",1144,100100],[4,16,"t","(7,6,1,1,1)",116480,2908,"lower bound",2908,116480],[4,16,"t","(7,6,2,1)",210210,2125,"lower bound",2125,210210],[4,16,"t","(7,6,3)",91520,902,"lower bound",902,91520],[4,16,"t","(7,7,1,1)",32032,373,"lower bound",373,32032],[4,16,"t","(7,7,2)",30030,203,"lower bound",203,30030],[4,16,"t","(8,2,1,1,1,1,1,1)",42042,7141,"lower bound",7141,42042],[4,16,"t","(8,2,2,1,1,1,1)",114400,9857,"lower bound",9857,114400],[4,16,"t","(8,2,2,2,1,1)",155232,7827,"lower bound",7827,155232],[4,16,"t","(8,2,2,2,2)",76440,3601,"lower bound",3601,76440],[4,16,"t","(8,3,1,1,1,1,1)",115830,9125,"lower bound",9125,115830],[4,16,"t","(8,3,2,1,1,1)",337920,10743,"lower bound",10743,337920],[4,16,"t","(8,3,2,2,1)",360360,7815,"lower bound",7815,360360],[4,16,"t","(8,3,3,1,1)",280280,5283,"lower bound",5283,280280],[4,16,"t","(8,3,3,2)",206388,3133,"lower bound",3133,206388],[4,16,"t","(8,4,1,1,1,1)",173250,5940,"lower bound",5940,173250],[4,16,"t","(8,4,2,1,1)",429000,6111,"lower bound",6111,429000],[4,16,"t","(8,4,2,2)",262080,2662,"lower bound",2662,262080],[4,16,"t","(8,4,3,1)",318500,2833,"lower bound",2833,318500],[4,16,"t","(8,4,4)",60060,565,"lower bound",565,60060],[4,16,"t","(8,5,1,1,1)",150150,2877,"lower bound",2877,150150],[4,16,"t","(8,5,2,1)",266240,1729,"lower bound",1729,266240],[4,16,"t","(8,5,3)",112112,938,"lower bound",938,112112],[4,16,"t","(8,6,1,1)",73710,787,"lower bound",787,73710],[4,16,"t","(8,6,2)",68640,407,"lower bound",407,68640],[4,16,"t","(9,2,1,1,1,1,1)",36608,4061,"lower bound",4061,36608],[4,16,"t","(9,2,2,1,1,1)",82368,3976,"lower bound",3976,82368],[4,16,"t","(9,2,2,2,1)",80640,2998,"lower bound",2998,80640],[4,16,"t","(9,3,1,1,1,1)",85800,3640,"lower bound",3640,85800],[4,16,"t","(9,3,2,1,1)",194040,4050,"lower bound",4050,194040],[4,16,"t","(9,3,2,2)",114660,1932,"lower bound",1932,114660],[4,16,"t","(9,3,3,1)",112112,1744,"lower bound",1744,112112],[4,16,"t","(9,4,1,1,1)",105600,2149,"lower bound",2149,105600],[4,16,"t","(9,4,2,1)",180180,1454,"lower bound",1454,180180],[4,16,"t","(9,4,3)",69888,506,"lower bound",506,69888],[4,16,"t","(9,5,1,1)",71500,690,"lower bound",690,71500],[4,16,"t","(9,5,2)",65520,343,"lower bound",343,65520],[4,16,"t","(9,6,1)",24960,89,"lower bound",89,24960],[4,17,"t","(17)",1,0,"exact",0,0],[4,17,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",16,16,"exact",16,16],[4,17,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,17,"t","(16,1)",16,0,"exact",0,0],[4,17,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",119,116,"lower bound",116,118],[4,17,"t","(15,2)",119,0,"exact",0,0],[4,17,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",120,117,"lower bound",117,119],[4,17,"t","(15,1,1)",120,0,"exact",0,0],[4,17,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1)",544,504,"lower bound",504,537],[4,17,"t","(14,3)",544,120,"upper bound",0,120],[4,17,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1)",560,520,"lower bound",520,552],[4,17,"t","(14,1,1,1)",560,120,"upper bound",0,120],[4,17,"t","(14,2,1)",1105,240,"upper bound",0,240],[4,17,"t","(13,4)",1700,15,"lower bound",15,652],[4,17,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1)",1820,1572,"lower bound",1572,1789],[4,17,"t","(13,1,1,1,1)",1820,15,"lower bound",15,825],[4,17,"t","(13,2,2)",3536,30,"lower bound",30,1470],[4,17,"t","(12,5)",3808,71,"lower bound",71,1898],[4,17,"t","(6,1,1,1,1,1,1,1,1,1,1,1)",4368,3414,"lower bound",3414,4260],[4,17,"t","(12,1,1,1,1,1)",4368,226,"lower bound",226,2749],[4,17,"t","(9,8)",4862,108,"lower bound",108,3096],[4,17,"t","(13,3,1)",5236,45,"lower bound",45,2118],[4,17,"t","(13,2,1,1)",5355,45,"lower bound",45,2273],[4,17,"t","(11,6)",6188,149,"lower bound",149,3559],[4,17,"t","(10,7)",7072,171,"lower bound",171,4366],[4,17,"t","(7,1,1,1,1,1,1,1,1,1,1)",8008,4727,"lower bound",4727,7981],[4,17,"t","(11,1,1,1,1,1,1)",8008,739,"lower bound",739,6071],[4,17,"t","(8,1,1,1,1,1,1,1,1,1)",11440,4745,"lower bound",4745,10999],[4,17,"t","(10,1,1,1,1,1,1,1)",11440,1940,"lower bound",1940,9727],[4,17,"t","(9,1,1,1,1,1,1,1,1)",12870,3690,"lower bound",3690,11677],[4,17,"t","(12,4,1)",15912,117,"lower bound",117,8400],[4,17,"t","(12,2,1,1,1)",17017,268,"lower bound",268,10055],[4,17,"t","(8,8,1)",19448,96,"lower bound",96,13620],[4,17,"t","(10,2,1,1,1,1,1)",65637,5939,"lower bound",5939,65637],[4,17,"t","(10,2,2,1,1,1)",148512,6566,"lower bound",6566,148512],[4,17,"t","(10,2,2,2,1)",145860,4775,"lower bound",4775,145860],[4,17,"t","(10,3,1,1,1,1)",155584,6131,"lower bound",6131,155584],[4,17,"t","(10,3,2,1,1)",353600,7387,"lower bound",7387,353600],[4,17,"t","(10,3,2,2)",209440,3425,"lower bound",3425,209440],[4,17,"t","(10,3,3,1)",205632,2870,"lower bound",2870,205632],[4,17,"t","(10,4,1,1,1)",194480,3703,"lower bound",3703,194480],[4,17,"t","(10,4,2,1)",333200,3048,"lower bound",3048,333200],[4,17,"t","(10,4,3)",129948,901,"lower bound",901,129948],[4,17,"t","(10,5,1,1)",134640,1191,"lower bound",1191,134640],[4,17,"t","(10,5,2)",123760,656,"lower bound",656,123760],[4,17,"t","(10,6,1)",48620,270,"lower bound",270,48620],[4,17,"t","(11,2,1,1,1,1)",38675,1769,"lower bound",1769,38675],[4,17,"t","(11,2,2,1,1)",68068,1621,"lower bound",1621,68068],[4,17,"t","(11,2,2,2)",37400,710,"lower bound",710,37400],[4,17,"t","(11,3,1,1,1)",74256,1500,"lower bound",1500,74256],[4,17,"t","(11,3,2,1)",116688,1375,"lower bound",1375,116688],[4,17,"t","(11,3,3)",35700,265,"lower bound",265,35700],[4,17,"t","(11,4,1,1)",70720,621,"lower bound",621,70720],[4,17,"t","(11,4,2)",62832,377,"lower bound",377,62832],[4,17,"t","(11,5,1)",33320,201,"lower bound",201,33320],[4,17,"t","(12,2,2,1)",20944,248,"lower bound",248,20944],[4,17,"t","(12,3,1,1)",24752,241,"lower bound",241,24752],[4,17,"t","(12,3,2)",20400,170,"lower bound",170,20400],[4,17,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1)",1700,1473,"lower bound",1473,1700],[4,17,"t","(2,2,2,2,2,1,1,1,1,1,1,1)",3808,3055,"lower bound",3055,3808],[4,17,"t","(2,2,2,2,2,2,1,1,1,1,1)",6188,4574,"lower bound",4574,6188],[4,17,"t","(2,2,2,2,2,2,2,1,1,1)",7072,4834,"lower bound",4834,7072],[4,17,"t","(2,2,2,2,2,2,2,2,1)",4862,3134,"lower bound",3134,4862],[4,17,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1)",1105,1027,"lower bound",1027,1105],[4,17,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1)",5236,4550,"lower bound",4550,5236],[4,17,"t","(3,2,2,2,1,1,1,1,1,1,1,1)",15912,11199,"lower bound",11199,15912],[4,17,"t","(3,2,2,2,2,1,1,1,1,1,1)",33320,17995,"lower bound",17995,33320],[4,17,"t","(3,2,2,2,2,2,1,1,1,1)",48620,20781,"lower bound",20781,48620],[4,17,"t","(3,2,2,2,2,2,2,1,1)",46410,17543,"lower bound",17543,46410],[4,17,"t","(3,2,2,2,2,2,2,2)",19448,7199,"lower bound",7199,19448],[4,17,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1)",3536,3079,"lower bound",3079,3536],[4,17,"t","(3,3,2,1,1,1,1,1,1,1,1,1)",20400,13197,"lower bound",13197,20400],[4,17,"t","(3,3,2,2,1,1,1,1,1,1,1)",62832,30139,"lower bound",30139,62832],[4,17,"t","(3,3,2,2,2,1,1,1,1,1)",123760,44155,"lower bound",44155,123760],[4,17,"t","(3,3,2,2,2,2,1,1,1)",159120,44227,"lower bound",44227,159120],[4,17,"t","(3,3,2,2,2,2,2,1)",116688,28587,"lower bound",28587,116688],[4,17,"t","(3,3,3,1,1,1,1,1,1,1,1)",35700,15972,"lower bound",15972,35700],[4,17,"t","(3,3,3,2,1,1,1,1,1,1)",129948,43446,"lower bound",43446,129948],[4,17,"t","(3,3,3,2,2,1,1,1,1)",247520,60796,"lower bound",60796,247520],[4,17,"t","(3,3,3,2,2,2,1,1)",272272,52428,"lower bound",52428,272272],[4,17,"t","(3,3,3,2,2,2,2)",121550,20521,"lower bound",20521,121550],[4,17,"t","(3,3,3,3,1,1,1,1,1)",129948,30514,"lower bound",30514,129948],[4,17,"t","(3,3,3,3,2,1,1,1)",272272,46214,"lower bound",46214,272272],[4,17,"t","(3,3,3,3,2,2,1)",243100,33013,"lower bound",33013,243100],[4,17,"t","(3,3,3,3,3,1,1)",136136,16488,"lower bound",16488,136136],[4,17,"t","(3,3,3,3,3,2)",87516,9457,"lower bound",9457,87516],[4,17,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1)",5355,4649,"lower bound",4649,5355],[4,17,"t","(4,2,2,1,1,1,1,1,1,1,1,1)",24752,15957,"lower bound",15957,24752],[4,17,"t","(4,2,2,2,1,1,1,1,1,1,1)",70720,33582,"lower bound",33582,70720],[4,17,"t","(4,2,2,2,2,1,1,1,1,1)",134640,47644,"lower bound",47644,134640],[4,17,"t","(4,2,2,2,2,2,1,1,1)",170170,46946,"lower bound",46946,170170],[4,17,"t","(4,2,2,2,2,2,2,1)",123760,30007,"lower bound",30007,123760],[4,17,"t","(4,3,1,1,1,1,1,1,1,1,1,1)",20944,13427,"lower bound",13427,20944],[4,17,"t","(4,3,2,1,1,1,1,1,1,1,1)",116688,49375,"lower bound",49375,116688],[4,17,"t","(4,3,2,2,1,1,1,1,1,1)",333200,99598,"lower bound",99598,333200],[4,17,"t","(4,3,2,2,2,1,1,1,1)",583440,123643,"lower bound",123643,583440],[4,17,"t","(4,3,2,2,2,2,1,1)",618800,99731,"lower bound",99731,618800],[4,17,"t","(4,3,2,2,2,2,2)",272272,37623,"lower bound",37623,272272],[4,17,"t","(4,3,3,1,1,1,1,1,1,1)",205632,57170,"lower bound",57170,205632],[4,17,"t","(4,3,3,2,1,1,1,1,1)",680680,127007,"lower bound",127007,680680],[4,17,"t","(4,3,3,2,2,1,1,1)",1113840,142521,"lower bound",142521,1113840],[4,17,"t","(4,3,3,2,2,2,1)",918918,89706,"lower bound",89706,918918],[4,17,"t","(4,3,3,3,1,1,1,1)",618800,71249,"lower bound",71249,618800],[4,17,"t","(4,3,3,3,2,1,1)",1050192,83721,"lower bound",83721,1050192],[4,17,"t","(4,3,3,3,2,2)",544544,36536,"lower bound",36536,544544],[4,17,"t","(4,3,3,3,3,1)",388960,23421,"lower bound",23421,388960],[4,17,"t","(4,4,1,1,1,1,1,1,1,1,1)",37400,16316,"lower bound",16316,37400],[4,17,"t","(4,4,2,1,1,1,1,1,1,1)",209440,57507,"lower bound",57507,209440],[4,17,"t","(4,4,2,2,1,1,1,1,1)",556920,97614,"lower bound",97614,556920],[4,17,"t","(4,4,2,2,2,1,1,1)",848640,99343,"lower bound",99343,848640],[4,17,"t","(4,4,2,2,2,2,1)",680680,59850,"lower bound",59850,680680],[4,17,"t","(4,4,3,1,1,1,1,1,1)",433160,73618,"lower bound",73618,433160],[4,17,"t","(4,4,3,2,1,1,1,1)",1299480,134898,"lower bound",134898,1299480],[4,17,"t","(4,4,3,2,2,1,1)",1750320,122249,"lower bound",122249,1750320],[4,17,"t","(4,4,3,2,2,2)",850850,48571,"lower bound",48571,850850],[4,17,"t","(4,4,3,3,1,1,1)",1089088,67858,"lower bound",67858,1089088],[4,17,"t","(4,4,3,3,2,1)",1361360,64752,"lower bound",64752,1361360],[4,17,"t","(4,4,3,3,3)",291720,13230,"lower bound",13230,291720],[4,17,"t","(4,4,4,1,1,1,1,1)",346528,36050,"lower bound",36050,346528],[4,17,"t","(4,4,4,2,1,1,1)",952952,58914,"lower bound",58914,952952],[4,17,"t","(4,4,4,2,2,1)",972400,43707,"lower bound",43707,972400],[4,17,"t","(4,4,4,3,1,1)",816816,32870,"lower bound",32870,816816],[4,17,"t","(4,4,4,3,2)",583440,22444,"lower bound",22444,583440],[4,17,"t","(4,4,4,4,1)",204204,7430,"lower bound",7430,204204],[4,17,"t","(5,2,1,1,1,1,1,1,1,1,1,1)",17017,11481,"lower bound",11481,17017],[4,17,"t","(5,2,2,1,1,1,1,1,1,1,1)",74256,33059,"lower bound",33059,74256],[4,17,"t","(5,2,2,2,1,1,1,1,1,1)",194480,60374,"lower bound",60374,194480],[4,17,"t","(5,2,2,2,2,1,1,1,1)",327250,73037,"lower bound",73037,327250],[4,17,"t","(5,2,2,2,2,2,1,1)",340340,59301,"lower bound",59301,340340],[4,17,"t","(5,2,2,2,2,2,2)",148512,22631,"lower bound",22631,148512],[4,17,"t","(5,3,1,1,1,1,1,1,1,1,1)",68068,30275,"lower bound",30275,68068],[4,17,"t","(5,3,2,1,1,1,1,1,1,1)",353600,96893,"lower bound",96893,353600],[4,17,"t","(5,3,2,2,1,1,1,1,1)",908820,157761,"lower bound",157761,908820],[4,17,"t","(5,3,2,2,2,1,1,1)",1361360,160139,"lower bound",160139,1361360],[4,17,"t","(5,3,2,2,2,2,1)",1082900,98195,"lower bound",98195,1082900],[4,17,"t","(5,3,3,1,1,1,1,1,1)",586432,94107,"lower bound",94107,586432],[4,17,"t","(5,3,3,2,1,1,1,1)",1701700,163210,"lower bound",163210,1701700],[4,17,"t","(5,3,3,2,2,1,1)",2255526,146313,"lower bound",146313,2255526],[4,17,"t","(5,3,3,2,2,2)",1089088,58992,"lower bound",58992,1089088],[4,17,"t","(5,3,3,3,1,1,1)",1326000,72053,"lower bound",72053,1326000],[4,17,"t","(5,3,3,3,2,1)",1633632,68726,"lower bound",68726,1633632],[4,17,"t","(5,3,3,3,3)",340340,13627,"lower bound",13627,340340],[4,17,"t","(5,4,1,1,1,1,1,1,1,1)",145860,43066,"lower bound",43066,145860],[4,17,"t","(5,4,2,1,1,1,1,1,1)",749700,123410,"lower bound",123410,749700],[4,17,"t","(5,4,2,2,1,1,1,1)",1750320,164028,"lower bound",164028,1750320],[4,17,"t","(5,4,2,2,2,1,1)",2165800,134487,"lower bound",134487,2165800],[4,17,"t","(5,4,2,2,2,2)",1021020,52514,"lower bound",52514,1021020],[4,17,"t","(5,4,3,1,1,1,1,1)",1429428,131319,"lower bound",131319,1429428],[4,17,"t","(5,4,3,2,1,1,1)",3620864,188473,"lower bound",188473,3620864],[4,17,"t","(5,4,3,2,2,1)",3573570,136793,"lower bound",136793,3573570],[4,17,"t","(5,4,3,3,1,1)",2450448,78114,"lower bound",78114,2450448],[4,17,"t","(5,4,3,3,2)",1701700,53043,"lower bound",53043,1701700],[4,17,"t","(5,4,4,1,1,1,1)",1082900,57300,"lower bound",57300,1082900],[4,17,"t","(5,4,4,2,1,1)",2362932,73380,"lower bound",73380,2362932],[4,17,"t","(5,4,4,2,2)",1361360,38535,"lower bound",38535,1361360],[4,17,"t","(5,4,4,3,1)",1458600,35316,"lower bound",35316,1458600],[4,17,"t","(5,4,4,4)",204204,4951,"lower bound",4951,204204],[4,17,"t","(5,5,1,1,1,1,1,1,1)",157080,29744,"lower bound",29744,157080],[4,17,"t","(5,5,2,1,1,1,1,1)",742560,69804,"lower bound",69804,742560],[4,17,"t","(5,5,2,2,1,1,1)",1485120,73460,"lower bound",73460,1485120],[4,17,"t","(5,5,2,2,2,1)",1361360,48061,"lower bound",48061,1361360],[4,17,"t","(5,5,3,1,1,1,1)",1336608,66644,"lower bound",66644,1336608],[4,17,"t","(5,5,3,2,1,1)",2722720,77921,"lower bound",77921,2722720],[4,17,"t","(5,5,3,2,2)",1531530,40174,"lower bound",40174,1531530],[4,17,"t","(5,5,3,3,1)",1361360,29209,"lower bound",29209,1361360],[4,17,"t","(5,5,4,1,1,1)",1089088,30751,"lower bound",30751,1089088],[4,17,"t","(5,5,4,2,1)",1701700,34229,"lower bound",34229,1701700],[4,17,"t","(5,5,4,3)",583440,9912,"lower bound",9912,583440],[4,17,"t","(5,5,5,1,1)",340340,6419,"lower bound",6419,340340],[4,17,"t","(5,5,5,2)",291720,4338,"lower bound",4338,291720],[4,17,"t","(6,2,1,1,1,1,1,1,1,1,1)",38675,18883,"lower bound",18883,38675],[4,17,"t","(6,2,2,1,1,1,1,1,1,1)",155584,46578,"lower bound",46578,155584],[4,17,"t","(6,2,2,2,1,1,1,1,1)",364650,71303,"lower bound",71303,364650],[4,17,"t","(6,2,2,2,2,1,1,1)",523600,72613,"lower bound",72613,523600],[4,17,"t","(6,2,2,2,2,2,1)",408408,45123,"lower bound",45123,408408],[4,17,"t","(6,3,1,1,1,1,1,1,1,1)",148512,44375,"lower bound",44375,148512],[4,17,"t","(6,3,2,1,1,1,1,1,1)",700128,118026,"lower bound",118026,700128],[4,17,"t","(6,3,2,2,1,1,1,1)",1570800,154890,"lower bound",154890,1570800],[4,17,"t","(6,3,2,2,2,1,1)",1905904,127510,"lower bound",127510,1905904],[4,17,"t","(6,3,2,2,2,2)",891072,50119,"lower bound",50119,891072],[4,17,"t","(6,3,3,1,1,1,1,1)",1047200,93716,"lower bound",93716,1047200],[4,17,"t","(6,3,3,2,1,1,1)",2552550,128272,"lower bound",128272,2552550],[4,17,"t","(6,3,3,2,2,1)",2475200,92387,"lower bound",92387,2475200],[4,17,"t","(6,3,3,3,1,1)",1591200,46842,"lower bound",46842,1591200],[4,17,"t","(6,3,3,3,2)",1089088,31766,"lower bound",31766,1089088],[4,17,"t","(6,4,1,1,1,1,1,1,1)",318240,59476,"lower bound",59476,318240],[4,17,"t","(6,4,2,1,1,1,1,1)",1454112,136514,"lower bound",136514,1454112],[4,17,"t","(6,4,2,2,1,1,1)",2858856,141937,"lower bound",141937,2858856],[4,17,"t","(6,4,2,2,2,1)",2598960,91979,"lower bound",91979,2598960],[4,17,"t","(6,4,3,1,1,1,1)",2431000,116350,"lower bound",116350,2431000],[4,17,"t","(6,4,3,2,1,1)",4873050,133142,"lower bound",133142,4873050],[4,17,"t","(6,4,3,2,2)",2722720,68462,"lower bound",68462,2722720],[4,17,"t","(6,4,3,3,1)",2362932,48716,"lower bound",48716,2362932],[4,17,"t","(6,4,4,1,1,1)",1591200,41460,"lower bound",41460,1591200],[4,17,"t","(6,4,4,2,1)",2450448,46051,"lower bound",46051,2450448],[4,17,"t","(6,4,4,3)",816816,13128,"lower bound",13128,816816],[4,17,"t","(6,5,1,1,1,1,1,1)",399840,45150,"lower bound",45150,399840],[4,17,"t","(6,5,2,1,1,1,1)",1633632,81900,"lower bound",81900,1633632],[4,17,"t","(6,5,2,2,1,1)",2598960,67639,"lower bound",67639,2598960],[4,17,"t","(6,5,2,2,2)",1361360,30923,"lower bound",30923,1361360],[4,17,"t","(6,5,3,1,1,1)",2475200,62524,"lower bound",62524,2475200],[4,17,"t","(6,5,3,2,1)",3573570,63663,"lower bound",63663,3573570],[4,17,"t","(6,5,3,3)",972400,13865,"lower bound",13865,972400],[4,17,"t","(6,5,4,1,1)",1633632,26685,"lower bound",26685,1633632],[4,17,"t","(6,5,4,2)",1361360,17397,"lower bound",17397,1361360],[4,17,"t","(6,5,5,1)",388960,4607,"lower bound",4607,388960],[4,17,"t","(6,6,1,1,1,1,1)",259896,16808,"lower bound",16808,259896],[4,17,"t","(6,6,2,1,1,1)",891072,24470,"lower bound",24470,891072],[4,17,"t","(6,6,2,2,1)",1021020,18050,"lower bound",18050,1021020],[4,17,"t","(6,6,3,1,1)",1089088,17959,"lower bound",17959,1089088],[4,17,"t","(6,6,3,2)",850850,10711,"lower bound",10711,850850],[4,17,"t","(6,6,4,1)",544544,6170,"lower bound",6170,544544],[4,17,"t","(6,6,5)",87516,1155,"lower bound",1155,87516],[4,17,"t","(7,2,1,1,1,1,1,1,1,1)",65637,21529,"lower bound",21529,65637],[4,17,"t","(7,2,2,1,1,1,1,1,1)",238238,46009,"lower bound",46009,238238],[4,17,"t","(7,2,2,2,1,1,1,1)",486200,59416,"lower bound",59416,486200],[4,17,"t","(7,2,2,2,2,1,1)",565488,49301,"lower bound",49301,565488],[4,17,"t","(7,2,2,2,2,2)",259896,19215,"lower bound",19215,259896],[4,17,"t","(7,3,1,1,1,1,1,1,1)",233376,44300,"lower bound",44300,233376],[4,17,"t","(7,3,2,1,1,1,1,1)",972400,98123,"lower bound",98123,972400],[4,17,"t","(7,3,2,2,1,1,1)",1832600,103715,"lower bound",103715,1832600],[4,17,"t","(7,3,2,2,2,1)",1633632,66959,"lower bound",66959,1633632],[4,17,"t","(7,3,3,1,1,1,1)",1262250,62772,"lower bound",62772,1262250],[4,17,"t","(7,3,3,2,1,1)",2431000,69913,"lower bound",69913,2431000],[4,17,"t","(7,3,3,2,2)",1336608,34588,"lower bound",34588,1336608],[4,17,"t","(7,3,3,3,1)",1082900,22344,"lower bound",22344,1082900],[4,17,"t","(7,4,1,1,1,1,1,1)",466752,51950,"lower bound",51950,466752],[4,17,"t","(7,4,2,1,1,1,1)",1832600,93602,"lower bound",93602,1832600],[4,17,"t","(7,4,2,2,1,1)",2858856,77130,"lower bound",77130,2858856],[4,17,"t","(7,4,2,2,2)",1485120,34306,"lower bound",34306,1485120],[4,17,"t","(7,4,3,1,1,1)",2552550,63644,"lower bound",63644,2552550],[4,17,"t","(7,4,3,2,1)",3620864,62935,"lower bound",62935,3620864],[4,17,"t","(7,4,3,3)",952952,13093,"lower bound",13093,952952],[4,17,"t","(7,4,4,1,1)",1326000,20080,"lower bound",20080,1326000],[4,17,"t","(7,4,4,2)",1089088,12653,"lower bound",12653,1089088],[4,17,"t","(7,5,1,1,1,1,1)",565488,34852,"lower bound",34852,565488],[4,17,"t","(7,5,2,1,1,1)",1905904,48566,"lower bound",48566,1905904],[4,17,"t","(7,5,2,2,1)",2165800,34112,"lower bound",34112,2165800],[4,17,"t","(7,5,3,1,1)",2255526,32696,"lower bound",32696,2255526],[4,17,"t","(7,5,3,2)",1750320,18766,"lower bound",18766,1750320],[4,17,"t","(7,5,4,1)",1050192,9854,"lower bound",9854,1050192],[4,17,"t","(7,5,5)",136136,1639,"lower bound",1639,136136],[4,17,"t","(7,6,1,1,1,1)",408408,14222,"lower bound",14222,408408],[4,17,"t","(7,6,2,1,1)",1082900,17635,"lower bound",17635,1082900],[4,17,"t","(7,6,2,2)",680680,7464,"lower bound",7464,680680],[4,17,"t","(7,6,3,1)",918918,8677,"lower bound",8677,918918],[4,17,"t","(7,6,4)",243100,2706,"lower bound",2706,243100],[4,17,"t","(7,7,1,1,1)",148512,3281,"lower bound",3281,148512],[4,17,"t","(7,7,2,1)",272272,2701,"lower bound",2701,272272],[4,17,"t","(7,7,3)",121550,1105,"lower bound",1105,121550],[4,17,"t","(8,2,1,1,1,1,1,1,1)",85085,18778,"lower bound",18778,85085],[4,17,"t","(8,2,2,1,1,1,1,1)",272272,33685,"lower bound",33685,272272],[4,17,"t","(8,2,2,2,1,1,1)",466752,34986,"lower bound",34986,466752],[4,17,"t","(8,2,2,2,2,1)",399840,22474,"lower bound",22474,399840],[4,17,"t","(8,3,1,1,1,1,1,1)",272272,32125,"lower bound",32125,272272],[4,17,"t","(8,3,2,1,1,1,1)",972400,55948,"lower bound",55948,972400],[4,17,"t","(8,3,2,2,1,1)",1454112,47116,"lower bound",47116,1454112],[4,17,"t","(8,3,2,2,2)",742560,20812,"lower bound",20812,742560],[4,17,"t","(8,3,3,1,1,1)",1047200,28640,"lower bound",28640,1047200],[4,17,"t","(8,3,3,2,1)",1429428,28050,"lower bound",28050,1429428],[4,17,"t","(8,3,3,3)",346528,5379,"lower bound",5379,346528],[4,17,"t","(8,4,1,1,1,1,1)",486200,29687,"lower bound",29687,486200],[4,17,"t","(8,4,2,1,1,1)",1570800,40526,"lower bound",40526,1570800],[4,17,"t","(8,4,2,2,1)",1750320,28663,"lower bound",28663,1750320],[4,17,"t","(8,4,3,1,1)",1701700,24988,"lower bound",24988,1701700],[4,17,"t","(8,4,3,2)",1299480,14604,"lower bound",14604,1299480],[4,17,"t","(8,4,4,1)",618800,5564,"lower bound",5564,618800],[4,17,"t","(8,5,1,1,1,1)",523600,16185,"lower bound",16185,523600],[4,17,"t","(8,5,2,1,1)",1361360,18489,"lower bound",18489,1361360],[4,17,"t","(8,5,2,2)",848640,7583,"lower bound",7583,848640],[4,17,"t","(8,5,3,1)",1113840,8842,"lower bound",8842,1113840],[4,17,"t","(8,5,4)",272272,2647,"lower bound",2647,272272],[4,17,"t","(8,6,1,1,1)",340340,6572,"lower bound",6572,340340],[4,17,"t","(8,6,2,1)",618800,5048,"lower bound",5048,618800],[4,17,"t","(8,6,3)",272272,2247,"lower bound",2247,272272],[4,17,"t","(8,7,1,1)",123760,1226,"lower bound",1226,123760],[4,17,"t","(8,7,2)",116688,676,"lower bound",676,116688],[4,17,"t","(9,2,1,1,1,1,1,1)",85085,12614,"lower bound",12614,85085],[4,17,"t","(9,2,2,1,1,1,1)",233376,17894,"lower bound",17894,233376],[4,17,"t","(9,2,2,2,1,1)",318240,14801,"lower bound",14801,318240],[4,17,"t","(9,2,2,2,2)",157080,6599,"lower bound",6599,157080],[4,17,"t","(9,3,1,1,1,1,1)",238238,16826,"lower bound",16826,238238],[4,17,"t","(9,3,2,1,1,1)",700128,22409,"lower bound",22409,700128],[4,17,"t","(9,3,2,2,1)",749700,16795,"lower bound",16795,749700],[4,17,"t","(9,3,3,1,1)",586432,11077,"lower bound",11077,586432],[4,17,"t","(9,3,3,2)",433160,6809,"lower bound",6809,433160],[4,17,"t","(9,4,1,1,1,1)",364650,11729,"lower bound",11729,364650],[4,17,"t","(9,4,2,1,1)",908820,13764,"lower bound",13764,908820],[4,17,"t","(9,4,2,2)",556920,6048,"lower bound",6048,556920],[4,17,"t","(9,4,3,1)",680680,6537,"lower bound",6537,680680],[4,17,"t","(9,4,4)",129948,1071,"lower bound",1071,129948],[4,17,"t","(9,5,1,1,1)",327250,5716,"lower bound",5716,327250],[4,17,"t","(9,5,2,1)",583440,4216,"lower bound",4216,583440],[4,17,"t","(9,5,3)",247520,1787,"lower bound",1787,247520],[4,17,"t","(9,6,1,1)",170170,1566,"lower bound",1566,170170],[4,17,"t","(9,6,2)",159120,839,"lower bound",839,159120],[4,17,"t","(9,7,1)",46410,233,"lower bound",233,46410],[4,18,"t","(18)",1,0,"exact",0,0],[4,18,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",136,136,"exact",136,136],[4,18,"t","(2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",135,135,"exact",135,135],[4,18,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",17,17,"exact",17,17],[4,18,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,18,"t","(17,1)",17,0,"exact",0,0],[4,18,"t","(16,2)",135,0,"exact",0,0],[4,18,"t","(16,1,1)",136,0,"exact",0,0],[4,18,"t","(15,3)",663,165,"upper bound",0,165],[4,18,"t","(4,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",680,637,"lower bound",637,677],[4,18,"t","(15,1,1,1)",680,165,"upper bound",0,165],[4,18,"t","(15,2,1)",1344,330,"upper bound",0,330],[4,18,"t","(14,4)",2244,15,"lower bound",15,969],[4,18,"t","(14,1,1,1,1)",2380,15,"lower bound",15,1190],[4,18,"t","(14,2,2)",4641,30,"lower bound",30,2155],[4,18,"t","(9,9)",4862,108,"lower bound",108,3511],[4,18,"t","(13,5)",5508,86,"lower bound",86,3099],[4,18,"t","(13,1,1,1,1,1)",6188,241,"lower bound",241,4217],[4,18,"t","(14,3,1)",6885,45,"lower bound",45,3127],[4,18,"t","(14,2,1,1)",7020,45,"lower bound",45,3331],[4,18,"t","(12,6)",9996,220,"lower bound",220,6391],[4,18,"t","(10,8)",11934,279,"lower bound",279,8506],[4,18,"t","(12,1,1,1,1,1,1)",12376,965,"lower bound",965,9972],[4,18,"t","(11,7)",13260,320,"lower bound",320,9099],[4,18,"t","(11,1,1,1,1,1,1,1)",19448,2679,"lower bound",2679,17267],[4,18,"t","(10,1,1,1,1,1,1,1,1)",24310,5630,"lower bound",5630,24310],[4,18,"t","(10,2,1,1,1,1,1,1)",162162,20493,"lower bound",20493,162162],[4,18,"t","(10,2,2,1,1,1,1)",447525,30399,"lower bound",30399,447525],[4,18,"t","(10,2,2,2,1,1)",612612,26142,"lower bound",26142,612612],[4,18,"t","(10,2,2,2,2)",302940,11374,"lower bound",11374,302940],[4,18,"t","(10,3,1,1,1,1,1)",459459,28896,"lower bound",28896,459459],[4,18,"t","(10,3,2,1,1,1)",1357824,42493,"lower bound",42493,1357824],[4,18,"t","(10,3,2,2,1)",1458600,32382,"lower bound",32382,1458600],[4,18,"t","(10,3,3,1,1)",1145664,21334,"lower bound",21334,1145664],[4,18,"t","(10,3,3,2)",848232,13104,"lower bound",13104,848232],[4,18,"t","(10,4,1,1,1,1)",714714,21563,"lower bound",21563,714714],[4,18,"t","(10,4,2,1,1)",1790100,27902,"lower bound",27902,1790100],[4,18,"t","(10,4,2,2)",1099560,12521,"lower bound",12521,1099560],[4,18,"t","(10,4,3,1)",1349460,13356,"lower bound",13356,1349460],[4,18,"t","(10,4,4)",259896,1972,"lower bound",1972,259896],[4,18,"t","(10,5,1,1,1)",656370,10610,"lower bound",10610,656370],[4,18,"t","(10,5,2,1)",1175040,9111,"lower bound",9111,1175040],[4,18,"t","(10,5,3)",501228,3344,"lower bound",3344,501228],[4,18,"t","(10,6,1,1)",353430,3027,"lower bound",3027,353430],[4,18,"t","(10,6,2)",331500,1765,"lower bound",1765,331500],[4,18,"t","(10,7,1)",102102,674,"lower bound",674,102102],[4,18,"t","(11,2,1,1,1,1,1)",112320,8447,"lower bound",8447,112320],[4,18,"t","(11,2,2,1,1,1)",255255,9956,"lower bound",9956,255255],[4,18,"t","(11,2,2,2,1)",251328,7106,"lower bound",7106,251328],[4,18,"t","(11,3,1,1,1,1)",268515,9400,"lower bound",9400,268515],[4,18,"t","(11,3,2,1,1)",612612,11883,"lower bound",11883,612612],[4,18,"t","(11,3,2,2)",363528,5510,"lower bound",5510,363528],[4,18,"t","(11,3,3,1)",358020,4510,"lower bound",4510,358020],[4,18,"t","(11,4,1,1,1)",339456,5824,"lower bound",5824,339456],[4,18,"t","(11,4,2,1)",583440,5421,"lower bound",5421,583440],[4,18,"t","(11,4,3)",228480,1543,"lower bound",1543,228480],[4,18,"t","(11,5,1,1)",238680,2013,"lower bound",2013,238680],[4,18,"t","(11,5,2)",219912,1234,"lower bound",1234,219912],[4,18,"t","(11,6,1)",88128,620,"lower bound",620,88128],[4,18,"t","(12,2,1,1,1,1)",60060,2263,"lower bound",2263,60060],[4,18,"t","(12,2,2,1,1)",106029,2137,"lower bound",2137,106029],[4,18,"t","(12,2,2,2)",58344,958,"lower bound",958,58344],[4,18,"t","(12,3,1,1,1)",116025,2009,"lower bound",2009,116025],[4,18,"t","(12,3,2,1)",182784,2034,"lower bound",2034,182784],[4,18,"t","(12,3,3)",56100,435,"lower bound",435,56100],[4,18,"t","(12,4,1,1)",111384,979,"lower bound",979,111384],[4,18,"t","(12,4,2)",99144,664,"lower bound",664,99144],[4,18,"t","(12,5,1)",53040,389,"lower bound",389,53040],[4,18,"t","(13,2,1,1,1)",24192,328,"lower bound",328,24192],[4,18,"t","(13,2,2,1)",29835,323,"lower bound",323,29835],[4,18,"t","(13,3,1,1)",35343,331,"lower bound",331,35343],[4,18,"t","(13,3,2)",29172,245,"lower bound",245,29172],[4,18,"t","(13,4,1)",22848,177,"lower bound",177,22848],[4,18,"t","(2,2,2,1,1,1,1,1,1,1,1,1,1,1,1)",663,620,"lower bound",620,663],[4,18,"t","(2,2,2,2,1,1,1,1,1,1,1,1,1,1)",2244,1977,"lower bound",1977,2244],[4,18,"t","(2,2,2,2,2,1,1,1,1,1,1,1,1)",5508,4528,"lower bound",4528,5508],[4,18,"t","(2,2,2,2,2,2,1,1,1,1,1,1)",9996,7629,"lower bound",7629,9996],[4,18,"t","(2,2,2,2,2,2,2,1,1,1,1)",13260,9408,"lower bound",9408,13260],[4,18,"t","(2,2,2,2,2,2,2,2,1,1)",11934,7968,"lower bound",7968,11934],[4,18,"t","(2,2,2,2,2,2,2,2,2)",4862,3134,"lower bound",3134,4862],[4,18,"t","(3,2,1,1,1,1,1,1,1,1,1,1,1,1,1)",1344,1260,"lower bound",1260,1344],[4,18,"t","(3,2,2,1,1,1,1,1,1,1,1,1,1,1)",6885,6081,"lower bound",6081,6885],[4,18,"t","(3,2,2,2,1,1,1,1,1,1,1,1,1)",22848,17222,"lower bound",17222,22848],[4,18,"t","(3,2,2,2,2,1,1,1,1,1,1,1)",53040,32249,"lower bound",32249,53040],[4,18,"t","(3,2,2,2,2,2,1,1,1,1,1)",88128,43350,"lower bound",43350,88128],[4,18,"t","(3,2,2,2,2,2,2,1,1,1)",102102,43158,"lower bound",43158,102102],[4,18,"t","(3,2,2,2,2,2,2,2,1)",70720,27876,"lower bound",27876,70720],[4,18,"t","(3,3,1,1,1,1,1,1,1,1,1,1,1,1)",4641,4106,"lower bound",4106,4641],[4,18,"t","(3,3,2,1,1,1,1,1,1,1,1,1,1)",29172,20826,"lower bound",20826,29172],[4,18,"t","(3,3,2,2,1,1,1,1,1,1,1,1)",99144,54535,"lower bound",54535,99144],[4,18,"t","(3,3,2,2,2,1,1,1,1,1,1)",219912,92289,"lower bound",92289,219912],[4,18,"t","(3,3,2,2,2,2,1,1,1,1)",331500,109163,"lower bound",109163,331500],[4,18,"t","(3,3,2,2,2,2,2,1,1)",322218,90357,"lower bound",90357,322218],[4,18,"t","(3,3,2,2,2,2,2,2)",136136,35786,"lower bound",35786,136136],[4,18,"t","(3,3,3,1,1,1,1,1,1,1,1,1)",56100,29169,"lower bound",29169,56100],[4,18,"t","(3,3,3,2,1,1,1,1,1,1,1)",228480,89557,"lower bound",89557,228480],[4,18,"t","(3,3,3,2,2,1,1,1,1,1)",501228,148397,"lower bound",148397,501228],[4,18,"t","(3,3,3,2,2,2,1,1,1)",678912,157451,"lower bound",157451,678912],[4,18,"t","(3,3,3,2,2,2,2,1)",510510,101536,"lower bound",101536,510510],[4,18,"t","(3,3,3,3,1,1,1,1,1,1)",259896,73960,"lower bound",73960,259896],[4,18,"t","(3,3,3,3,2,1,1,1,1)",649740,137524,"lower bound",137524,649740],[4,18,"t","(3,3,3,3,2,2,1,1)",787644,131655,"lower bound",131655,787644],[4,18,"t","(3,3,3,3,2,2,2)",364650,53534,"lower bound",53534,364650],[4,18,"t","(3,3,3,3,3,1,1,1)",408408,62702,"lower bound",62702,408408],[4,18,"t","(3,3,3,3,3,2,1)",466752,58958,"lower bound",58958,466752],[4,18,"t","(3,3,3,3,3,3)",87516,9457,"lower bound",9457,87516],[4,18,"t","(4,2,1,1,1,1,1,1,1,1,1,1,1,1)",7020,6196,"lower bound",6196,7020],[4,18,"t","(4,2,2,1,1,1,1,1,1,1,1,1,1)",35343,25156,"lower bound",25156,35343],[4,18,"t","(4,2,2,2,1,1,1,1,1,1,1,1)",111384,60738,"lower bound",60738,111384],[4,18,"t","(4,2,2,2,2,1,1,1,1,1,1)",238680,99221,"lower bound",99221,238680],[4,18,"t","(4,2,2,2,2,2,1,1,1,1)",353430,115371,"lower bound",115371,353430],[4,18,"t","(4,2,2,2,2,2,2,1,1)",340340,94496,"lower bound",94496,340340],[4,18,"t","(4,2,2,2,2,2,2,2)",143208,37206,"lower bound",37206,143208],[4,18,"t","(4,3,1,1,1,1,1,1,1,1,1,1,1)",29835,21155,"lower bound",21155,29835],[4,18,"t","(4,3,2,1,1,1,1,1,1,1,1,1)",182784,91956,"lower bound",91956,182784],[4,18,"t","(4,3,2,2,1,1,1,1,1,1,1)",583440,212694,"lower bound",212694,583440],[4,18,"t","(4,3,2,2,2,1,1,1,1,1)",1175040,315040,"lower bound",315040,1175040],[4,18,"t","(4,3,2,2,2,2,1,1,1)",1531530,314547,"lower bound",314547,1531530],[4,18,"t","(4,3,2,2,2,2,2,1)",1131520,195948,"lower bound",195948,1131520],[4,18,"t","(4,3,3,1,1,1,1,1,1,1,1)",358020,122517,"lower bound",122517,358020],[4,18,"t","(4,3,3,2,1,1,1,1,1,1)",1349460,327221,"lower bound",327221,1349460],[4,18,"t","(4,3,3,2,2,1,1,1,1)",2625480,453967,"lower bound",453967,2625480],[4,18,"t","(4,3,3,2,2,2,1,1)",2923830,384386,"lower bound",384386,2923830],[4,18,"t","(4,3,3,2,2,2,2)",1312740,147850,"lower bound",147850,1312740],[4,18,"t","(4,3,3,3,1,1,1,1,1)",1429428,228770,"lower bound",228770,1429428],[4,18,"t","(4,3,3,3,2,1,1,1)",3055104,343705,"lower bound",343705,3055104],[4,18,"t","(4,3,3,3,2,2,1)",2756754,242976,"lower bound",242976,2756754],[4,18,"t","(4,3,3,3,3,1,1)",1575288,123630,"lower bound",123630,1575288],[4,18,"t","(4,3,3,3,3,2)",1021020,69414,"lower bound",69414,1021020],[4,18,"t","(4,4,1,1,1,1,1,1,1,1,1,1)",58344,29743,"lower bound",29743,58344],[4,18,"t","(4,4,2,1,1,1,1,1,1,1,1)",363528,123198,"lower bound",123198,363528],[4,18,"t","(4,4,2,2,1,1,1,1,1,1)",1099560,254719,"lower bound",254719,1099560],[4,18,"t","(4,4,2,2,2,1,1,1,1)",1989000,320600,"lower bound",320600,1989000],[4,18,"t","(4,4,2,2,2,2,1,1)",2148120,258924,"lower bound",258924,2148120],[4,18,"t","(4,4,2,2,2,2,2)",952952,97473,"lower bound",97473,952952],[4,18,"t","(4,4,3,1,1,1,1,1,1,1)",848232,188295,"lower bound",188295,848232],[4,18,"t","(4,4,3,2,1,1,1,1,1)",2970240,433137,"lower bound",433137,2970240],[4,18,"t","(4,4,3,2,2,1,1,1)",5012280,499011,"lower bound",499011,5012280],[4,18,"t","(4,4,3,2,2,2,1)",4200768,320376,"lower bound",320376,4200768],[4,18,"t","(4,4,3,3,1,1,1,1)",3007368,274005,"lower bound",274005,3007368],[4,18,"t","(4,4,3,3,2,1,1)",5250960,338580,"lower bound",338580,5250960],[4,18,"t","(4,4,3,3,2,2)",2756754,149859,"lower bound",149859,2756754],[4,18,"t","(4,4,3,3,3,1)",2042040,101403,"lower bound",101403,2042040],[4,18,"t","(4,4,4,1,1,1,1,1,1)",779688,109668,"lower bound",109668,779688],[4,18,"t","(4,4,4,2,1,1,1,1)",2598960,229862,"lower bound",229862,2598960],[4,18,"t","(4,4,4,2,2,1,1)",3675672,224870,"lower bound",224870,3675672],[4,18,"t","(4,4,4,2,2,2)",1823250,92278,"lower bound",92278,1823250],[4,18,"t","(4,4,4,3,1,1,1)",2858856,159642,"lower bound",159642,2858856],[4,18,"t","(4,4,4,3,2,1)",3734016,163773,"lower bound",163773,3734016],[4,18,"t","(4,4,4,3,3)",875160,35674,"lower bound",35674,875160],[4,18,"t","(4,4,4,4,1,1)",1021020,40300,"lower bound",40300,1021020],[4,18,"t","(4,4,4,4,2)",787644,29874,"lower bound",29874,787644],[4,18,"t","(5,1,1,1,1,1,1,1,1,1,1,1,1,1)",2380,2092,"lower bound",2092,2380],[4,18,"t","(5,2,1,1,1,1,1,1,1,1,1,1,1)",24192,17702,"lower bound",17702,24192],[4,18,"t","(5,2,2,1,1,1,1,1,1,1,1,1)",116025,60497,"lower bound",60497,116025],[4,18,"t","(5,2,2,2,1,1,1,1,1,1,1)",339456,127015,"lower bound",127015,339456],[4,18,"t","(5,2,2,2,2,1,1,1,1,1)",656370,181055,"lower bound",181055,656370],[4,18,"t","(5,2,2,2,2,2,1,1,1)",837760,179284,"lower bound",179284,837760],[4,18,"t","(5,2,2,2,2,2,2,1)",612612,111939,"lower bound",111939,612612],[4,18,"t","(5,3,1,1,1,1,1,1,1,1,1,1)",106029,55183,"lower bound",55183,106029],[4,18,"t","(5,3,2,1,1,1,1,1,1,1,1)",612612,209602,"lower bound",209602,612612],[4,18,"t","(5,3,2,2,1,1,1,1,1,1)",1790100,414626,"lower bound",414626,1790100],[4,18,"t","(5,3,2,2,2,1,1,1,1)",3180870,514580,"lower bound",514580,3180870],[4,18,"t","(5,3,2,2,2,2,1,1)",3403400,417366,"lower bound",417366,3403400],[4,18,"t","(5,3,2,2,2,2,2)",1503684,158449,"lower bound",158449,1503684],[4,18,"t","(5,3,3,1,1,1,1,1,1,1)",1145664,248170,"lower bound",248170,1145664],[4,18,"t","(5,3,3,2,1,1,1,1,1)",3877632,542085,"lower bound",542085,3877632],[4,18,"t","(5,3,3,2,2,1,1,1)",6432426,612183,"lower bound",612183,6432426],[4,18,"t","(5,3,3,2,2,2,1)",5346432,393206,"lower bound",393206,5346432],[4,18,"t","(5,3,3,3,1,1,1,1)",3646500,306512,"lower bound",306512,3646500],[4,18,"t","(5,3,3,3,2,1,1)",6265350,370813,"lower bound",370813,6265350],[4,18,"t","(5,3,3,3,2,2)",3267264,164254,"lower bound",164254,3267264],[4,18,"t","(5,3,3,3,3,1)",2362932,105774,"lower bound",105774,2362932],[4,18,"t","(5,4,1,1,1,1,1,1,1,1,1)",251328,89657,"lower bound",89657,251328],[4,18,"t","(5,4,2,1,1,1,1,1,1,1)",1458600,320876,"lower bound",320876,1458600],[4,18,"t","(5,4,2,2,1,1,1,1,1)",3965760,542813,"lower bound",542813,3965760],[4,18,"t","(5,4,2,2,2,1,1,1)",6126120,557997,"lower bound",557997,6126120],[4,18,"t","(5,4,2,2,2,2,1)",4950400,345046,"lower bound",345046,4950400],[4,18,"t","(5,4,3,1,1,1,1,1,1)",3198720,422454,"lower bound",422454,3198720],[4,18,"t","(5,4,3,2,1,1,1,1)",9801792,781928,"lower bound",781928,9801792],[4,18,"t","(5,4,3,2,2,1,1)",13366080,728315,"lower bound",728315,13366080],[4,18,"t","(5,4,3,2,2,2)",6534528,296870,"lower bound",296870,6534528],[4,18,"t","(5,4,3,3,1,1,1)",8486400,406498,"lower bound",406498,8486400],[4,18,"t","(5,4,3,3,2,1)",10720710,401428,"lower bound",401428,10720710],[4,18,"t","(5,4,3,3,3)",2333760,79900,"lower bound",79900,2333760],[4,18,"t","(5,4,4,1,1,1,1,1)",2858856,224669,"lower bound",224669,2858856],[4,18,"t","(5,4,4,2,1,1,1)",8019648,378067,"lower bound",378067,8019648],[4,18,"t","(5,4,4,2,2,1)",8270262,292415,"lower bound",292415,8270262],[4,18,"t","(5,4,4,3,1,1)",7088796,219680,"lower bound",219680,7088796],[4,18,"t","(5,4,4,3,2)",5105100,149338,"lower bound",149338,5105100],[4,18,"t","(5,4,4,4,1)",1867008,47697,"lower bound",47697,1867008],[4,18,"t","(5,5,1,1,1,1,1,1,1,1)",302940,72810,"lower bound",72810,302940],[4,18,"t","(5,5,2,1,1,1,1,1,1)",1649340,222958,"lower bound",222958,1649340],[4,18,"t","(5,5,2,2,1,1,1,1)",3978000,307292,"lower bound",307292,3978000],[4,18,"t","(5,5,2,2,2,1,1)",5012280,256008,"lower bound",256008,5012280],[4,18,"t","(5,5,2,2,2,2)",2382380,100575,"lower bound",100575,2382380],[4,18,"t","(5,5,3,1,1,1,1,1)",3508596,267767,"lower bound",267767,3508596],[4,18,"t","(5,5,3,2,1,1,1)",9165312,406498,"lower bound",406498,9165312],[4,18,"t","(5,5,3,2,2,1)",9189180,302949,"lower bound",302949,9189180],[4,18,"t","(5,5,3,3,1,1)",6534528,185244,"lower bound",185244,6534528],[4,18,"t","(5,5,3,3,2)",4594590,122426,"lower bound",122426,4594590],[4,18,"t","(5,5,4,1,1,1,1)",3508596,154695,"lower bound",154695,3508596],[4,18,"t","(5,5,4,2,1,1)",7876440,216281,"lower bound",216281,7876440],[4,18,"t","(5,5,4,2,2)",4594590,112938,"lower bound",112938,4594590],[4,18,"t","(5,5,4,3,1)",5105100,108666,"lower bound",108666,5105100],[4,18,"t","(5,5,4,4)",787644,14863,"lower bound",14863,787644],[4,18,"t","(5,5,5,1,1,1)",1429428,37170,"lower bound",37170,1429428],[4,18,"t","(5,5,5,2,1)",2333760,44986,"lower bound",44986,2333760],[4,18,"t","(5,5,5,3)",875160,14250,"lower bound",14250,875160],[4,18,"t","(6,1,1,1,1,1,1,1,1,1,1,1,1)",6188,4986,"lower bound",4986,6188],[4,18,"t","(6,2,1,1,1,1,1,1,1,1,1,1)",60060,33778,"lower bound",33778,60060],[4,18,"t","(6,2,2,1,1,1,1,1,1,1,1)",268515,98520,"lower bound",98520,268515],[4,18,"t","(6,2,2,2,1,1,1,1,1,1)",714714,178255,"lower bound",178255,714714],[4,18,"t","(6,2,2,2,2,1,1,1,1)",1215500,216953,"lower bound",216953,1215500],[4,18,"t","(6,2,2,2,2,2,1,1)",1272348,177037,"lower bound",177037,1272348],[4,18,"t","(6,2,2,2,2,2,2)",556920,67754,"lower bound",67754,556920],[4,18,"t","(6,3,1,1,1,1,1,1,1,1,1)",255255,93533,"lower bound",93533,255255],[4,18,"t","(6,3,2,1,1,1,1,1,1,1)",1357824,305872,"lower bound",305872,1357824],[4,18,"t","(6,3,2,2,1,1,1,1,1)",3544398,501980,"lower bound",501980,3544398],[4,18,"t","(6,3,2,2,2,1,1,1)",5361664,515152,"lower bound",515152,5361664],[4,18,"t","(6,3,2,2,2,2,1)",4288284,320947,"lower bound",320947,4288284],[4,18,"t","(6,3,3,1,1,1,1,1,1)",2333760,305849,"lower bound",305849,2333760],[4,18,"t","(6,3,3,2,1,1,1,1)",6872250,540088,"lower bound",540088,6872250],[4,18,"t","(6,3,3,2,2,1,1)",9189180,494482,"lower bound",494482,9189180],[4,18,"t","(6,3,3,2,2,2)",4455360,201498,"lower bound",201498,4455360],[4,18,"t","(6,3,3,3,1,1,1)",5469750,247167,"lower bound",247167,5469750],[4,18,"t","(6,3,3,3,2,1)",6789120,239721,"lower bound",239721,6789120],[4,18,"t","(6,3,3,3,3)",1429428,45393,"lower bound",45393,1429428],[4,18,"t","(6,4,1,1,1,1,1,1,1,1)",612612,146917,"lower bound",146917,612612],[4,18,"t","(6,4,2,1,1,1,1,1,1)",3222180,437426,"lower bound",437426,3222180],[4,18,"t","(6,4,2,2,1,1,1,1)",7634088,597369,"lower bound",597369,7634088],[4,18,"t","(6,4,2,2,2,1,1)",9529520,495913,"lower bound",495913,9529520],[4,18,"t","(6,4,2,2,2,2)",4511052,194612,"lower bound",194612,4511052],[4,18,"t","(6,4,3,1,1,1,1,1)",6361740,477899,"lower bound",477899,6361740],[4,18,"t","(6,4,3,2,1,1,1)",16336320,708174,"lower bound",708174,16336320],[4,18,"t","(6,4,3,2,2,1)",16243500,522763,"lower bound",522763,16243500],[4,18,"t","(6,4,3,3,1,1)",11277630,306814,"lower bound",306814,11277630],[4,18,"t","(6,4,3,3,2)",7876440,201987,"lower bound",201987,7876440],[4,18,"t","(6,4,4,1,1,1,1)",5105100,215110,"lower bound",215110,5105100],[4,18,"t","(6,4,4,2,1,1)",11277630,294033,"lower bound",294033,11277630],[4,18,"t","(6,4,4,2,2)",6534528,153048,"lower bound",153048,6534528],[4,18,"t","(6,4,4,3,1)",7088796,143211,"lower bound",143211,7088796],[4,18,"t","(6,4,4,4)",1021020,18079,"lower bound",18079,1021020],[4,18,"t","(6,5,1,1,1,1,1,1,1)",875160,134370,"lower bound",134370,875160],[4,18,"t","(6,5,2,1,1,1,1,1)",4230144,333368,"lower bound",333368,4230144],[4,18,"t","(6,5,2,2,1,1,1)",8576568,364936,"lower bound",364936,8576568],[4,18,"t","(6,5,2,2,2,1)",7920640,238602,"lower bound",238602,7920640],[4,18,"t","(6,5,3,1,1,1,1)",7876440,327418,"lower bound",327418,7876440],[4,18,"t","(6,5,3,2,1,1)",16243500,404889,"lower bound",404889,16243500],[4,18,"t","(6,5,3,2,2)",9189180,203222,"lower bound",203222,9189180],[4,18,"t","(6,5,3,3,1)",8270262,155453,"lower bound",155453,8270262],[4,18,"t","(6,5,4,1,1,1)",6789120,161420,"lower bound",161420,6789120],[4,18,"t","(6,5,4,2,1)",10720710,188025,"lower bound",188025,10720710],[4,18,"t","(6,5,4,3)",3734016,54302,"lower bound",54302,3734016],[4,18,"t","(6,5,5,1,1)",2362932,37711,"lower bound",37711,2362932],[4,18,"t","(6,5,5,2)",2042040,26342,"lower bound",26342,2042040],[4,18,"t","(6,6,1,1,1,1,1,1)",659736,61958,"lower bound",61958,659736],[4,18,"t","(6,6,2,1,1,1,1)",2784600,123178,"lower bound",123178,2784600],[4,18,"t","(6,6,2,2,1,1)",4511052,110159,"lower bound",110159,4511052],[4,18,"t","(6,6,2,2,2)",2382380,48973,"lower bound",48973,2382380],[4,18,"t","(6,6,3,1,1,1)",4455360,104953,"lower bound",104953,4455360],[4,18,"t","(6,6,3,2,1)",6534528,110383,"lower bound",110383,6534528],[4,18,"t","(6,6,3,3)",1823250,24576,"lower bound",24576,1823250],[4,18,"t","(6,6,4,1,1)",3267264,50814,"lower bound",50814,3267264],[4,18,"t","(6,6,4,2)",2756754,34278,"lower bound",34278,2756754],[4,18,"t","(6,6,5,1)",1021020,11932,"lower bound",11932,1021020],[4,18,"t","(6,6,6)",87516,1155,"lower bound",1155,87516],[4,18,"t","(7,1,1,1,1,1,1,1,1,1,1,1)",12376,8141,"lower bound",8141,12376],[4,18,"t","(7,2,1,1,1,1,1,1,1,1,1)",112320,45139,"lower bound",45139,112320],[4,18,"t","(7,2,2,1,1,1,1,1,1,1)",459459,114116,"lower bound",114116,459459],[4,18,"t","(7,2,2,2,1,1,1,1,1)",1089088,176728,"lower bound",176728,1089088],[4,18,"t","(7,2,2,2,2,1,1,1)",1575288,181330,"lower bound",181330,1575288],[4,18,"t","(7,2,2,2,2,2,1)",1233792,113639,"lower bound",113639,1233792],[4,18,"t","(7,3,1,1,1,1,1,1,1,1)",447525,110204,"lower bound",110204,447525],[4,18,"t","(7,3,2,1,1,1,1,1,1)",2144142,306458,"lower bound",306458,2144142],[4,18,"t","(7,3,2,2,1,1,1,1)",4862000,416144,"lower bound",416144,4862000],[4,18,"t","(7,3,2,2,2,1,1)",5937624,347485,"lower bound",347485,5937624],[4,18,"t","(7,3,2,2,2,2)",2784600,136293,"lower bound",136293,2784600],[4,18,"t","(7,3,3,1,1,1,1,1)",3281850,254611,"lower bound",254611,3281850],[4,18,"t","(7,3,3,2,1,1,1)",8078400,364672,"lower bound",364672,8078400],[4,18,"t","(7,3,3,2,2,1)",7876440,263847,"lower bound",263847,7876440],[4,18,"t","(7,3,3,3,1,1)",5105100,139099,"lower bound",139099,5105100],[4,18,"t","(7,3,3,3,2)",3508596,88698,"lower bound",88698,3508596],[4,18,"t","(7,4,1,1,1,1,1,1,1)",1018368,155726,"lower bound",155726,1018368],[4,18,"t","(7,4,2,1,1,1,1,1)",4725864,380189,"lower bound",380189,4725864],[4,18,"t","(7,4,2,2,1,1,1)",9382912,416384,"lower bound",416384,9382912],[4,18,"t","(7,4,2,2,2,1)",8576568,270374,"lower bound",270374,8576568],[4,18,"t","(7,4,3,1,1,1,1)",8078400,336368,"lower bound",336368,8078400],[4,18,"t","(7,4,3,2,1,1)",16336320,406764,"lower bound",406764,16336320],[4,18,"t","(7,4,3,2,2)",9165312,200291,"lower bound",200291,9165312],[4,18,"t","(7,4,3,3,1)",8019648,147088,"lower bound",147088,8019648],[4,18,"t","(7,4,4,1,1,1)",5469750,125184,"lower bound",125184,5469750],[4,18,"t","(7,4,4,2,1)",8486400,141719,"lower bound",141719,8486400],[4,18,"t","(7,4,4,3)",2858856,38874,"lower bound",38874,2858856],[4,18,"t","(7,5,1,1,1,1,1,1)",1432080,131952,"lower bound",131952,1432080],[4,18,"t","(7,5,2,1,1,1,1)",5937624,258920,"lower bound",258920,5937624],[4,18,"t","(7,5,2,2,1,1)",9529520,227447,"lower bound",227447,9529520],[4,18,"t","(7,5,2,2,2)",5012280,99341,"lower bound",99341,5012280],[4,18,"t","(7,5,3,1,1,1)",9189180,207430,"lower bound",207430,9189180],[4,18,"t","(7,5,3,2,1)",13366080,212172,"lower bound",212172,13366080],[4,18,"t","(7,5,3,3)",3675672,45724,"lower bound",45724,3675672],[4,18,"t","(7,5,4,1,1)",6265350,89315,"lower bound",89315,6265350],[4,18,"t","(7,5,4,2)",5250960,58670,"lower bound",58670,5250960],[4,18,"t","(7,5,5,1)",1575288,16100,"lower bound",16100,1575288],[4,18,"t","(7,6,1,1,1,1,1)",1233792,65882,"lower bound",65882,1233792],[4,18,"t","(7,6,2,1,1,1)",4288284,104893,"lower bound",104893,4288284],[4,18,"t","(7,6,2,2,1)",4950400,77261,"lower bound",77261,4950400],[4,18,"t","(7,6,3,1,1)",5346432,76967,"lower bound",76967,5346432],[4,18,"t","(7,6,3,2)",4200768,45618,"lower bound",45618,4200768],[4,18,"t","(7,6,4,1)",2756754,27407,"lower bound",27407,2756754],[4,18,"t","(7,6,5)",466752,5500,"lower bound",5500,466752],[4,18,"t","(7,7,1,1,1,1)",556920,17503,"lower bound",17503,556920],[4,18,"t","(7,7,2,1,1)",1503684,23617,"lower bound",23617,1503684],[4,18,"t","(7,7,2,2)",952952,10165,"lower bound",10165,952952],[4,18,"t","(7,7,3,1)",1312740,12483,"lower bound",12483,1312740],[4,18,"t","(7,7,4)",364650,3811,"lower bound",3811,364650],[4,18,"t","(8,1,1,1,1,1,1,1,1,1,1)",19448,9472,"lower bound",9472,19448],[4,18,"t","(8,2,1,1,1,1,1,1,1,1)",162162,45052,"lower bound",45052,162162],[4,18,"t","(8,2,2,1,1,1,1,1,1)",595595,98472,"lower bound",98472,595595],[4,18,"t","(8,2,2,2,1,1,1,1)",1225224,128087,"lower bound",128087,1225224],[4,18,"t","(8,2,2,2,2,1,1)",1432080,106761,"lower bound",106761,1432080],[4,18,"t","(8,2,2,2,2,2)",659736,41689,"lower bound",41689,659736],[4,18,"t","(8,3,1,1,1,1,1,1,1)",590733,95203,"lower bound",95203,590733],[4,18,"t","(8,3,2,1,1,1,1,1)",2489344,219881,"lower bound",219881,2489344],[4,18,"t","(8,3,2,2,1,1,1)",4725864,241765,"lower bound",241765,4725864],[4,18,"t","(8,3,2,2,2,1)",4230144,157361,"lower bound",157361,4230144],[4,18,"t","(8,3,3,1,1,1,1)",3281850,147360,"lower bound",147360,3281850],[4,18,"t","(8,3,3,2,1,1)",6361740,173719,"lower bound",173719,6361740],[4,18,"t","(8,3,3,2,2)",3508596,83450,"lower bound",83450,3508596],[4,18,"t","(8,3,3,3,1)",2858856,55773,"lower bound",55773,2858856],[4,18,"t","(8,4,1,1,1,1,1,1)",1225224,113762,"lower bound",113762,1225224],[4,18,"t","(8,4,2,1,1,1,1)",4862000,219763,"lower bound",219763,4862000],[4,18,"t","(8,4,2,2,1,1)",7634088,193435,"lower bound",193435,7634088],[4,18,"t","(8,4,2,2,2)",3978000,83781,"lower bound",83781,3978000],[4,18,"t","(8,4,3,1,1,1)",6872250,157798,"lower bound",157798,6872250],[4,18,"t","(8,4,3,2,1)",9801792,159240,"lower bound",159240,9801792],[4,18,"t","(8,4,3,3)",2598960,33076,"lower bound",33076,2598960],[4,18,"t","(8,4,4,1,1)",3646500,50632,"lower bound",50632,3646500],[4,18,"t","(8,4,4,2)",3007368,32821,"lower bound",32821,3007368],[4,18,"t","(8,5,1,1,1,1,1)",1575288,80724,"lower bound",80724,1575288],[4,18,"t","(8,5,2,1,1,1)",5361664,123766,"lower bound",123766,5361664],[4,18,"t","(8,5,2,2,1)",6126120,88847,"lower bound",88847,6126120],[4,18,"t","(8,5,3,1,1)",6432426,85015,"lower bound",85015,6432426],[4,18,"t","(8,5,3,2)",5012280,49795,"lower bound",49795,5012280],[4,18,"t","(8,5,4,1)",3055104,26907,"lower bound",26907,3055104],[4,18,"t","(8,5,5)",408408,4286,"lower bound",4286,408408],[4,18,"t","(8,6,1,1,1,1)",1272348,36979,"lower bound",36979,1272348],[4,18,"t","(8,6,2,1,1)",3403400,47744,"lower bound",47744,3403400],[4,18,"t","(8,6,2,2)",2148120,20095,"lower bound",20095,2148120],[4,18,"t","(8,6,3,1)",2923830,24814,"lower bound",24814,2923830],[4,18,"t","(8,6,4)",787644,7600,"lower bound",7600,787644],[4,18,"t","(8,7,1,1,1)",612612,11079,"lower bound",11079,612612],[4,18,"t","(8,7,2,1)",1131520,9651,"lower bound",9651,1131520],[4,18,"t","(8,7,3)",510510,4028,"lower bound",4028,510510],[4,18,"t","(8,8,1,1)",143208,1322,"lower bound",1322,143208],[4,18,"t","(8,8,2)",136136,772,"lower bound",772,136136],[4,18,"t","(9,1,1,1,1,1,1,1,1,1)",24310,8435,"lower bound",8435,24310],[4,18,"t","(9,2,1,1,1,1,1,1,1)",183040,35082,"lower bound",35082,183040],[4,18,"t","(9,2,2,1,1,1,1,1)",590733,64193,"lower bound",64193,590733],[4,18,"t","(9,2,2,2,1,1,1)",1018368,67681,"lower bound",67681,1018368],[4,18,"t","(9,2,2,2,2,1)",875160,43874,"lower bound",43874,875160],[4,18,"t","(9,3,1,1,1,1,1,1)",595595,61565,"lower bound",61565,595595],[4,18,"t","(9,3,2,1,1,1,1)",2144142,113077,"lower bound",113077,2144142],[4,18,"t","(9,3,2,2,1,1)",3222180,101121,"lower bound",101121,3222180],[4,18,"t","(9,3,2,2,2)",1649340,44206,"lower bound",44206,1649340],[4,18,"t","(9,3,3,1,1,1)",2333760,62126,"lower bound",62126,2333760],[4,18,"t","(9,3,3,2,1)",3198720,62731,"lower bound",62731,3198720],[4,18,"t","(9,3,3,3)",779688,12188,"lower bound",12188,779688],[4,18,"t","(9,4,1,1,1,1,1)",1089088,58242,"lower bound",58242,1089088],[4,18,"t","(9,4,2,1,1,1)",3544398,88428,"lower bound",88428,3544398],[4,18,"t","(9,4,2,2,1)",3965760,65270,"lower bound",65270,3965760],[4,18,"t","(9,4,3,1,1)",3877632,56366,"lower bound",56366,3877632],[4,18,"t","(9,4,3,2)",2970240,33998,"lower bound",33998,2970240],[4,18,"t","(9,4,4,1)",1429428,13172,"lower bound",13172,1429428],[4,18,"t","(9,5,1,1,1,1)",1215500,33630,"lower bound",33630,1215500],[4,18,"t","(9,5,2,1,1)",3180870,42185,"lower bound",42185,3180870],[4,18,"t","(9,5,2,2)",1989000,17847,"lower bound",17847,1989000],[4,18,"t","(9,5,3,1)",2625480,21382,"lower bound",21382,2625480],[4,18,"t","(9,5,4)",649740,5505,"lower bound",5505,649740],[4,18,"t","(9,6,1,1,1)",837760,13854,"lower bound",13854,837760],[4,18,"t","(9,6,2,1)",1531530,11669,"lower bound",11669,1531530],[4,18,"t","(9,6,3)",678912,4873,"lower bound",4873,678912],[4,18,"t","(9,7,1,1)",340340,3025,"lower bound",3025,340340],[4,18,"t","(9,7,2)",322218,1748,"lower bound",1748,322218],[4,18,"t","(9,8,1)",70720,437,"lower bound",437,70720],[4,19,"t","(18,1)",18,0,"exact",0,0],[4,19,"t","(17,2)",152,0,"exact",0,0],[4,19,"t","(17,1,1)",153,0,"exact",0,0],[4,19,"t","(16,3)",798,220,"upper bound",0,220],[4,19,"t","(16,1,1,1)",816,220,"upper bound",0,220],[4,19,"t","(16,2,1)",1615,440,"upper bound",0,440],[4,19,"t","(15,4)",2907,15,"lower bound",15,1383],[4,19,"t","(15,1,1,1,1)",3060,15,"lower bound",15,1658],[4,19,"t","(15,2,2)",5985,30,"lower bound",30,3035],[4,19,"t","(14,5)",7752,101,"lower bound",101,4762],[4,19,"t","(14,1,1,1,1,1)",8568,256,"lower bound",256,6211],[4,19,"t","(15,3,1)",8892,45,"lower bound",45,4429],[4,19,"t","(15,2,1,1)",9044,45,"lower bound",45,4667],[4,19,"t","(13,6)",15504,306,"lower bound",306,10762],[4,19,"t","(10,9)",16796,387,"lower bound",387,14748],[4,19,"t","(13,1,1,1,1,1,1)",18564,1206,"lower bound",1206,16516],[4,19,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,19,"t","(19)",1,0,"exact",0,0],[4,19,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",18,18,"exact",18,18],[4,19,"t","(3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",153,153,"exact",153,153],[4,20,"t","(19,1)",19,0,"exact",0,0],[4,20,"t","(18,2)",170,0,"exact",0,0],[4,20,"t","(18,1,1)",171,0,"exact",0,0],[4,20,"t","(17,3)",950,286,"upper bound",0,286],[4,20,"t","(17,1,1,1)",969,286,"upper bound",0,286],[4,20,"t","(17,2,1)",1920,572,"upper bound",0,572],[4,20,"t","(16,4)",3705,15,"lower bound",15,1909],[4,20,"t","(16,1,1,1,1)",3876,15,"lower bound",15,2244],[4,20,"t","(16,2,2)",7600,30,"lower bound",30,5552],[4,20,"t","(15,5)",10659,116,"lower bound",116,8611],[4,20,"t","(16,3,1)",11305,45,"lower bound",45,9257],[4,20,"t","(16,2,1,1)",11475,45,"lower bound",45,9427],[4,20,"t","(15,1,1,1,1,1)",11628,271,"lower bound",271,9580],[4,20,"t","(10,10)",16796,387,"lower bound",387,14748],[4,20,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,20,"t","(2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",19,19,"exact",19,19],[4,20,"t","(20)",1,0,"exact",0,0],[4,21,"t","(20,1)",20,0,"exact",0,0],[4,21,"t","(19,2)",189,0,"exact",0,0],[4,21,"t","(19,1,1)",190,0,"exact",0,0],[4,21,"t","(18,3)",1120,364,"upper bound",0,364],[4,21,"t","(18,1,1,1)",1140,364,"upper bound",0,364],[4,21,"t","(18,2,1)",2261,728,"upper bound",0,728],[4,21,"t","(17,4)",4655,15,"lower bound",15,2607],[4,21,"t","(17,1,1,1,1)",4845,15,"lower bound",15,2966],[4,21,"t","(17,2,2)",9520,30,"lower bound",30,7472],[4,21,"t","(17,3,1)",14175,45,"lower bound",45,12127],[4,21,"t","(16,5)",14364,131,"lower bound",131,12316],[4,21,"t","(17,2,1,1)",14364,45,"lower bound",45,12316],[4,21,"t","(16,1,1,1,1,1)",15504,286,"lower bound",286,13456],[4,21,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,21,"t","(21)",1,0,"exact",0,0],[4,22,"t","(21,1)",21,0,"exact",0,0],[4,22,"t","(20,2)",209,0,"exact",0,0],[4,22,"t","(20,1,1)",210,0,"exact",0,0],[4,22,"t","(19,3)",1309,455,"upper bound",0,455],[4,22,"t","(19,1,1,1)",1330,455,"upper bound",0,455],[4,22,"t","(19,2,1)",2640,910,"upper bound",0,910],[4,22,"t","(18,4)",5775,15,"lower bound",15,3727],[4,22,"t","(18,1,1,1,1)",5985,15,"lower bound",15,3937],[4,22,"t","(18,2,2)",11781,30,"lower bound",30,9733],[4,22,"t","(18,3,1)",17556,45,"lower bound",45,15508],[4,22,"t","(18,2,1,1)",17765,45,"lower bound",45,15717],[4,22,"t","(17,5)",19019,146,"lower bound",146,16971],[4,22,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,22,"t","(22)",1,0,"exact",0,0],[4,23,"t","(22,1)",22,0,"exact",0,0],[4,23,"t","(21,2)",230,0,"exact",0,0],[4,23,"t","(21,1,1)",231,0,"exact",0,0],[4,23,"t","(20,3)",1518,560,"upper bound",0,560],[4,23,"t","(20,1,1,1)",1540,560,"upper bound",0,560],[4,23,"t","(20,2,1)",3059,1120,"upper bound",0,1120],[4,23,"t","(19,4)",7084,15,"lower bound",15,5036],[4,23,"t","(19,1,1,1,1)",7315,15,"lower bound",15,5267],[4,23,"t","(19,2,2)",14421,30,"lower bound",30,12373],[4,23,"t","(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)",1,1,"exact",1,1],[4,23,"t","(23)",1,0,"exact",0,0],[4,24,"t","(23,1)",23,0,"exact",0,0],[4,24,"t","(22,2)",252,0,"exact",0,0],[4,24,"t","(22,1,1)",253,0,"exact",0,0],[4,24,"t","(21,3)",1748,680,"upper bound",0,680],[4,24,"t","(21,1,1,1)",1771,680,"upper bound",0,680],[4,24,"t","(21,2,1)",3520,1523,"upper bound",0,1523],[4,24,"t","(20,4)",8602,15,"lower bound",15,6554],[4,24,"t","(20,1,1,1,1)",8855,15,"lower bound",15,6807],[4,24,"t","(20,2,2)",17480,30,"lower bound",30,15432],[4,24,"t","(24)",1,0,"exact",0,0],[4,25,"t","(24,1)",24,0,"exact",0,0],[4,25,"t","(23,2)",275,0,"exact",0,0],[4,25,"t","(23,1,1)",276,0,"exact",0,0],[4,25,"t","(22,3)",2000,816,"upper bound",0,816],[4,25,"t","(22,1,1,1)",2024,816,"upper bound",0,816],[4,25,"t","(22,2,1)",4025,1984,"upper bound",0,1984],[4,25,"t","(21,4)",10350,15,"lower bound",15,8302],[4,25,"t","(21,1,1,1,1)",10626,15,"lower bound",15,8578],[4,25,"t","(25)",1,0,"exact",0,0],[4,26,"t","(25,1)",25,0,"exact",0,0],[4,26,"t","(24,2)",299,0,"exact",0,0],[4,26,"t","(24,1,1)",300,0,"exact",0,0],[4,26,"t","(23,3)",2275,969,"upper bound",0,969],[4,26,"t","(23,1,1,1)",2300,969,"upper bound",0,969],[4,26,"t","(23,2,1)",4576,2528,"upper bound",0,2528],[4,26,"t","(22,4)",12350,15,"lower bound",15,10302],[4,26,"t","(22,1,1,1,1)",12650,15,"lower bound",15,10602],[4,26,"t","(26)",1,0,"exact",0,0],[4,27,"t","(26,1)",26,0,"exact",0,0],[4,27,"t","(25,2)",324,0,"exact",0,0],[4,27,"t","(25,1,1)",325,0,"exact",0,0],[4,27,"t","(24,3)",2574,1140,"upper bound",0,1140],[4,27,"t","(24,1,1,1)",2600,1140,"upper bound",0,1140],[4,27,"t","(24,2,1)",5175,3127,"upper bound",0,3127],[4,27,"t","(23,4)",14625,15,"lower bound",15,12577],[4,27,"t","(23,1,1,1,1)",14950,15,"lower bound",15,12902],[4,27,"t","(27)",1,0,"exact",0,0],[4,28,"t","(27,1)",27,0,"exact",0,0],[4,28,"t","(26,2)",350,0,"exact",0,0],[4,28,"t","(26,1,1)",351,0,"exact",0,0],[4,28,"t","(25,3)",2898,1330,"upper bound",0,1330],[4,28,"t","(25,1,1,1)",2925,1330,"upper bound",0,1330],[4,28,"t","(25,2,1)",5824,3776,"upper bound",0,3776],[4,28,"t","(24,4)",17199,15,"lower bound",15,15151],[4,28,"t","(24,1,1,1,1)",17550,15,"lower bound",15,15502],[4,28,"t","(28)",1,0,"exact",0,0],[4,29,"t","(28,1)",28,0,"exact",0,0],[4,29,"t","(27,2)",377,0,"exact",0,0],[4,29,"t","(27,1,1)",378,0,"exact",0,0],[4,29,"t","(26,3)",3248,1540,"upper bound",0,1540],[4,29,"t","(26,1,1,1)",3276,1540,"upper bound",0,1540],[4,29,"t","(26,2,1)",6525,4477,"upper bound",0,4477],[4,29,"t","(29)",1,0,"exact",0,0],[4,30,"t","(29,1)",29,0,"exact",0,0],[4,30,"t","(28,2)",405,0,"exact",0,0],[4,30,"t","(28,1,1)",406,0,"exact",0,0],[4,30,"t","(27,3)",3625,1771,"upper bound",0,1771],[4,30,"t","(27,1,1,1)",3654,1771,"upper bound",0,1771],[4,30,"t","(27,2,1)",7280,5232,"upper bound",0,5232],[4,30,"t","(30)",1,0,"exact",0,0],[4,31,"t","(30,1)",30,0,"exact",0,0],[4,31,"t","(29,2)",434,0,"exact",0,0],[4,31,"t","(29,1,1)",435,0,"exact",0,0],[4,31,"t","(28,3)",4030,2089,"upper bound",0,2089],[4,31,"t","(28,1,1,1)",4060,2118,"upper bound",0,2118],[4,31,"t","(28,2,1)",8091,6043,"upper bound",0,6043]]}