DimB[m_,{1}] = 0

DimB[1,{}] = 1;

DimB[1,{2}] = 1;
DimB[1,{1, 1}] = 1;


DimB[2,{}] = 1;

DimB[2,{2}] = 1;
DimB[2,{1, 1}] = 1;

DimB[2,{3}] = 0;
DimB[2,{2, 1}] = 0;
DimB[2,{1, 1, 1}] = 1;


DimB[3,{}] = 1;

DimB[3,{2}] = 1;
DimB[3,{1, 1}] = 1;

DimB[3,{3}] = 0;
DimB[3,{2, 1}] = 0;
DimB[3,{1, 1, 1}] = 1;

DimB[3,{4}] = 0;
DimB[3,{3, 1}] = 0;
DimB[3,{2, 2}] = 1;
DimB[3,{2, 1, 1}] = 1;
DimB[3,{1, 1, 1, 1}] = 2;


DimB[4,{}] = 2;

DimB[4,{2}] = 1;
DimB[4,{1, 1}] = 1;

DimB[4,{3}] = 0;
DimB[4,{2, 1}] = 0;
DimB[4,{1, 1, 1}] = 1;

DimB[4,{4}] = 1;
DimB[4,{3, 1}] = 1;
DimB[4,{2, 2}] = 2;
DimB[4,{2, 1, 1}] = 2;
DimB[4,{1, 1, 1, 1}] = 3;

DimB[4,{5}] = 0;
DimB[4,{4, 1}] = 0;
DimB[4,{3, 2}] = 0;
DimB[4,{3, 1, 1}] = 1;
DimB[4,{2, 2, 1}] = 1;
DimB[4,{2, 1, 1, 1}] = 3;
DimB[4,{1, 1, 1, 1, 1}] = 6;


DimB[5,{}] = 2;

DimB[5,{2}] = 2;
DimB[5,{1, 1}] = 2;

DimB[5,{3}] = 0;
DimB[5,{2, 1}] = 0;
DimB[5,{1, 1, 1}] = 2;

DimB[5,{4}] = 1;
DimB[5,{3, 1}] = 1;
DimB[5,{2, 2}] = 3;
DimB[5,{2, 1, 1}] = 3;
DimB[5,{1, 1, 1, 1}] = 5;

DimB[5,{5}] = 0;
DimB[5,{4, 1}] = 0;
DimB[5,{3, 2}] = 0;
DimB[5,{3, 1, 1}] = 2;
DimB[5,{2, 2, 1}] = 2;
DimB[5,{2, 1, 1, 1}] = 6;
DimB[5,{1, 1, 1, 1, 1}] = 12;

DimB[5,{6}] = 0;
DimB[5,{5, 1}] = 0;
DimB[5,{4, 2}] = 1;
DimB[5,{4, 1, 1}] = 1;
DimB[5,{3, 3}] = 1;
DimB[5,{3, 2, 1}] = 2;
DimB[5,{3, 1, 1, 1}] = 4;
DimB[5,{2, 2, 2}] = 4;
DimB[5,{2, 2, 1, 1}] = 6;
DimB[5,{2, 1, 1, 1, 1}] = 12;
DimB[5,{1, 1, 1, 1, 1, 1}] = 24;


DimB[6,{}] = 3;

DimB[6,{2}] = 2;
DimB[6,{1, 1}] = 2;

DimB[6,{3}] = 0;
DimB[6,{2, 1}] = 0;
DimB[6,{1, 1, 1}] = 2;

DimB[6,{4}] = 2;
DimB[6,{3, 1}] = 2;
DimB[6,{2, 2}] = 5;
DimB[6,{2, 1, 1}] = 5;
DimB[6,{1, 1, 1, 1}] = 8;

DimB[6,{5}] = 0;
DimB[6,{4, 1}] = 0;
DimB[6,{3, 2}] = 0;
DimB[6,{3, 1, 1}] = 3;
DimB[6,{2, 2, 1}] = 3;
DimB[6,{2, 1, 1, 1}] = 10;
DimB[6,{1, 1, 1, 1, 1}] = 22;

DimB[6,{6}] = 1;
DimB[6,{5, 1}] = 1;
DimB[6,{4, 2}] = 3;
DimB[6,{4, 1, 1}] = 3;
DimB[6,{3, 3}] = 3;
DimB[6,{3, 2, 1}] = 6;
DimB[6,{3, 1, 1, 1}] = 10;
DimB[6,{2, 2, 2}] = 11;
DimB[6,{2, 2, 1, 1}] = 16;
DimB[6,{2, 1, 1, 1, 1}] = 30;
DimB[6,{1, 1, 1, 1, 1, 1}] = 60;

DimB[6,{7}] = 0;
DimB[6,{6, 1}] = 0;
DimB[6,{5, 2}] = 0;
DimB[6,{5, 1, 1}] = 1;
DimB[6,{4, 3}] = 0;
DimB[6,{4, 2, 1}] = 2;
DimB[6,{4, 1, 1, 1}] = 5;
DimB[6,{3, 3, 1}] = 3;
DimB[6,{3, 2, 2}] = 4;
DimB[6,{3, 2, 1, 1}] = 10;
DimB[6,{3, 1, 1, 1, 1}] = 20;
DimB[6,{2, 2, 2, 1}] = 14;
DimB[6,{2, 2, 1, 1, 1}] = 30;
DimB[6,{2, 1, 1, 1, 1, 1}] = 60;
DimB[6,{1, 1, 1, 1, 1, 1, 1}] = 120;


DimB[7,{}] = 4;

DimB[7,{2}] = 3;
DimB[7,{1, 1}] = 3;

DimB[7,{3}] = 0;
DimB[7,{2, 1}] = 0;
DimB[7,{1, 1, 1}] = 3;

DimB[7,{4}] = 3;
DimB[7,{3, 1}] = 3;
DimB[7,{2, 2}] = 7;
DimB[7,{2, 1, 1}] = 7;
DimB[7,{1, 1, 1, 1}] = 11;

DimB[7,{5}] = 0;
DimB[7,{4, 1}] = 0;
DimB[7,{3, 2}] = 0;
DimB[7,{3, 1, 1}] = 5;
DimB[7,{2, 2, 1}] = 5;
DimB[7,{2, 1, 1, 1}] = 16;
DimB[7,{1, 1, 1, 1, 1}] = 34;

DimB[7,{6}] = 2;
DimB[7,{5, 1}] = 2;
DimB[7,{4, 2}] = 6;
DimB[7,{4, 1, 1}] = 6;
DimB[7,{3, 3}] = 6;
DimB[7,{3, 2, 1}] = 12;
DimB[7,{3, 1, 1, 1}] = 20;
DimB[7,{2, 2, 2}] = 22;
DimB[7,{2, 2, 1, 1}] = 32;
DimB[7,{2, 1, 1, 1, 1}] = 60;
DimB[7,{1, 1, 1, 1, 1, 1}] = 120;

DimB[7,{7}] = 0;
DimB[7,{6, 1}] = 0;
DimB[7,{5, 2}] = 0;
DimB[7,{5, 1, 1}] = 3;
DimB[7,{4, 3}] = 1;
DimB[7,{4, 2, 1}] = 6;
DimB[7,{4, 1, 1, 1}] = 15;
DimB[7,{3, 3, 1}] = 10;
DimB[7,{3, 2, 2}] = 12;
DimB[7,{3, 2, 1, 1}] = 30;
DimB[7,{3, 1, 1, 1, 1}] = 60;
DimB[7,{2, 2, 2, 1}] = 42;
DimB[7,{2, 2, 1, 1, 1}] = 90;
DimB[7,{2, 1, 1, 1, 1, 1}] = 180;
DimB[7,{1, 1, 1, 1, 1, 1, 1}] = 360;

DimB[7,{8}] = 0;
DimB[7,{7, 1}] = 0;
DimB[7,{6, 2}] = 1;
DimB[7,{6, 1, 1}] = 1;
DimB[7,{5, 3}] = 1;
DimB[7,{5, 2, 1}] = 3;
DimB[7,{5, 1, 1, 1}] = 6;
DimB[7,{4, 4}] = 2;
DimB[7,{4, 3, 1}] = 5;
DimB[7,{4, 2, 2}] = 9;
DimB[7,{4, 2, 1, 1}] = 15;
DimB[7,{4, 1, 1, 1, 1}] = 30;
DimB[7,{3, 3, 2}] = 10;
DimB[7,{3, 3, 1, 1}] = 20;
DimB[7,{3, 2, 2, 1}] = 30;
DimB[7,{3, 2, 1, 1, 1}] = 60;
DimB[7,{3, 1, 1, 1, 1, 1}] = 120;
DimB[7,{2, 2, 2, 2}] = 48;
DimB[7,{2, 2, 2, 1, 1}] = 90;
DimB[7,{2, 2, 1, 1, 1, 1}] = 180;
DimB[7,{2, 1, 1, 1, 1, 1, 1}] = 360;
DimB[7,{1, 1, 1, 1, 1, 1, 1, 1}] = 720;


DimB[8,{}] = 5;
DimB[8,{2}] = 4;
DimB[8,{1, 1}] = 4;

DimB[8,{3}] = 0;
DimB[8,{2, 1}] = TooHard;
DimB[8,{1, 1, 1}] = TooHard;

DimB[8,{4}] = 4;
DimB[8,{3, 1}] = TooHard;
DimB[8,{2, 2}] = TooHard;
DimB[8,{2, 1, 1}] = TooHard;
DimB[8,{1, 1, 1, 1}] = TooHard;

DimB[8,{5}] = 0;
DimB[8,{4, 1}] = 0;
DimB[8,{3, 2}] = TooHard;
DimB[8,{3, 1, 1}] = TooHard;
DimB[8,{2, 2, 1}] = TooHard;
DimB[8,{2, 1, 1, 1}] = TooHard;
DimB[8,{1, 1, 1, 1, 1}] = TooHard;

DimB[8,{6}] = 3;
DimB[8,{5, 1}] = 4;
DimB[8,{4, 2}] = 11;
DimB[8,{4, 1, 1}] = TooHard;
DimB[8,{3, 3}] = TooHard;
DimB[8,{3, 2, 1}] = TooHard;
DimB[8,{3, 1, 1, 1}] = TooHard;
DimB[8,{2, 2, 2}] = TooHard;
DimB[8,{2, 2, 1, 1}] = TooHard;
DimB[8,{2, 1, 1, 1, 1}] = TooHard;
DimB[8,{1, 1, 1, 1, 1, 1}] = TooHard;

DimB[8,{7}] = 0;
DimB[8,{6, 1}] = 0;
DimB[8,{5, 2}] = 0;
DimB[8,{5, 1, 1}] = 6;
DimB[8,{4, 3}] = 1;
DimB[8,{4, 2, 1}] = 12;
DimB[8,{4, 1, 1, 1}] = 32;
DimB[8,{3, 3, 1}] = 19;
DimB[8,{3, 2, 2}] = TooHard;
DimB[8,{3, 2, 1, 1}] = TooHard;
DimB[8,{3, 1, 1, 1, 1}] = TooHard;
DimB[8,{2, 2, 2, 1}] = TooHard;
DimB[8,{2, 2, 1, 1, 1}] = TooHard;
DimB[8,{2, 1, 1, 1, 1, 1}] = TooHard;
DimB[8,{1, 1, 1, 1, 1, 1, 1}] = TooHard;
 
DimB[8,{8}] = 1;
DimB[8,{7, 1}] = 1;
DimB[8,{6, 2}] = 4;
DimB[8,{6, 1, 1}] = 4;
DimB[8,{5, 3}] = 5;
DimB[8,{5, 2, 1}] = 12;
DimB[8,{5, 1, 1, 1}] = 21;
DimB[8,{4, 4}] = 8;
DimB[8,{4, 3, 1}] = 19;
DimB[8,{4, 2, 2}] = 33;
DimB[8,{4, 2, 1, 1}] = 54;
DimB[8,{4, 1, 1, 1, 1}] = 105;
DimB[8,{3, 3, 2}] = 38;
DimB[8,{3, 3, 1, 1}] = 70;
DimB[8,{3, 2, 2, 1}] = 108;
DimB[8,{3, 2, 1, 1, 1}] = TooHard;
DimB[8,{3, 1, 1, 1, 1, 1}] = TooHard;
DimB[8,{2, 2, 2, 2}] = TooHard;
DimB[8,{2, 2, 2, 1, 1}] = TooHard;
DimB[8,{2, 2, 1, 1, 1, 1}] = TooHard;
DimB[8,{2, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[8,{1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[8,{9}] = 0;
DimB[8,{8, 1}] = 0;
DimB[8,{7, 2}] = 0;
DimB[8,{7, 1, 1}] = 1;
DimB[8,{6, 3}] = 1;
DimB[8,{6, 2, 1}] = 3;
DimB[8,{6, 1, 1, 1}] = 7;
DimB[8,{5, 4}] = 1;
DimB[8,{5, 3, 1}] = 7;
DimB[8,{5, 2, 2}] = 9;
DimB[8,{5, 2, 1, 1}] = 21;
DimB[8,{5, 1, 1, 1, 1}] = 42;
DimB[8,{4, 4, 1}] = 8;
DimB[8,{4, 3, 2}] = 16;
DimB[8,{4, 3, 1, 1}] = 35;
DimB[8,{4, 2, 2, 1}] = 51;
DimB[8,{4, 2, 1, 1, 1}] = 105;
DimB[8,{4, 1, 1, 1, 1, 1}] = 210;
DimB[8,{3, 3, 3}] = 24;
DimB[8,{3, 3, 2, 1}] = 70;
DimB[8,{3, 3, 1, 1, 1}] = 140;
DimB[8,{3, 2, 2, 2}] = 102;
DimB[8,{3, 2, 2, 1, 1}] = 210;
DimB[8,{3, 2, 1, 1, 1, 1}] = 420;
DimB[8,{3, 1, 1, 1, 1, 1, 1}] = 840;
DimB[8,{2, 2, 2, 2, 1}] = 312;
DimB[8,{2, 2, 2, 1, 1, 1}] = 630;
DimB[8,{2, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[8,{2, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[8,{1, 1, 1, 1, 1, 1, 1, 1, 1}] = 5040;


DimB[9,{}] = TooHard;
DimB[9,{1}] = 0;
 
DimB[9,{2}] = 5;
DimB[9,{1, 1}] = 5;
 
DimB[9,{3}] = 0;
DimB[9,{2, 1}] = TooHard;
DimB[9,{1, 1, 1}] = TooHard;
 
DimB[9,{4}] = 6;
DimB[9,{3, 1}] = TooHard;
DimB[9,{2, 2}] = TooHard;
DimB[9,{2, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1}] = TooHard;
 
DimB[9,{5}] = 0;
DimB[9,{4, 1}] = TooHard;
DimB[9,{3, 2}] = TooHard;
DimB[9,{3, 1, 1}] = TooHard;
DimB[9,{2, 2, 1}] = TooHard;
DimB[9,{2, 1, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1, 1}] = TooHard;
 
DimB[9,{6}] = 5;
DimB[9,{5, 1}] = TooHard;
DimB[9,{4, 2}] = TooHard;
DimB[9,{4, 1, 1}] = TooHard;
DimB[9,{3, 3}] = TooHard;
DimB[9,{3, 2, 1}] = TooHard;
DimB[9,{3, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 2}] = TooHard;
DimB[9,{2, 2, 1, 1}] = TooHard;
DimB[9,{2, 1, 1, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1, 1, 1}] = TooHard;
 
DimB[9,{7}] = 0;
DimB[9,{6, 1}] = 0;
DimB[9,{5, 2}] = TooHard;
DimB[9,{5, 1, 1}] = TooHard;
DimB[9,{4, 3}] = TooHard;
DimB[9,{4, 2, 1}] = TooHard;
DimB[9,{4, 1, 1, 1}] = TooHard;
DimB[9,{3, 3, 1}] = TooHard;
DimB[9,{3, 2, 2}] = TooHard;
DimB[9,{3, 2, 1, 1}] = TooHard;
DimB[9,{3, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 2, 1}] = TooHard;
DimB[9,{2, 2, 1, 1, 1}] = TooHard;
DimB[9,{2, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[9,{8}] = 2;
DimB[9,{7, 1}] = 3;
DimB[9,{6, 2}] = 10;
DimB[9,{6, 1, 1}] = 11;
DimB[9,{5, 3}] = 13;
DimB[9,{5, 2, 1}] = 30;
DimB[9,{5, 1, 1, 1}] = TooHard;
DimB[9,{4, 4}] = 20;
DimB[9,{4, 3, 1}] = TooHard;
DimB[9,{4, 2, 2}] = TooHard;
DimB[9,{4, 2, 1, 1}] = TooHard;
DimB[9,{4, 1, 1, 1, 1}] = TooHard;
DimB[9,{3, 3, 2}] = TooHard;
DimB[9,{3, 3, 1, 1}] = TooHard;
DimB[9,{3, 2, 2, 1}] = TooHard;
DimB[9,{3, 2, 1, 1, 1}] = TooHard;
DimB[9,{3, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 2, 2}] = TooHard;
DimB[9,{2, 2, 2, 1, 1}] = TooHard;
DimB[9,{2, 2, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[9,{9}] = 0;
DimB[9,{8, 1}] = 0;
DimB[9,{7, 2}] = 0;
DimB[9,{7, 1, 1}] = 4;
DimB[9,{6, 3}] = 3;
DimB[9,{6, 2, 1}] = 12;
DimB[9,{6, 1, 1, 1}] = 28;
DimB[9,{5, 4}] = 4;
DimB[9,{5, 3, 1}] = 28;
DimB[9,{5, 2, 2}] = 36;
DimB[9,{5, 2, 1, 1}] = 84;
DimB[9,{5, 1, 1, 1, 1}] = TooHard;
DimB[9,{4, 4, 1}] = 32;
DimB[9,{4, 3, 2}] = 64;
DimB[9,{4, 3, 1, 1}] = TooHard;
DimB[9,{4, 2, 2, 1}] = TooHard;
DimB[9,{4, 2, 1, 1, 1}] = TooHard;
DimB[9,{4, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{3, 3, 3}] = TooHard;
DimB[9,{3, 3, 2, 1}] = TooHard;
DimB[9,{3, 3, 1, 1, 1}] = TooHard;
DimB[9,{3, 2, 2, 2}] = TooHard;
DimB[9,{3, 2, 2, 1, 1}] = TooHard;
DimB[9,{3, 2, 1, 1, 1, 1}] = TooHard;
DimB[9,{3, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 2, 2, 1}] = TooHard;
DimB[9,{2, 2, 2, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[9,{10}] = 0;
DimB[9,{9, 1}] = 0;
DimB[9,{8, 2}] = 1;
DimB[9,{8, 1, 1}] = 1;
DimB[9,{7, 3}] = 1;
DimB[9,{7, 2, 1}] = 4;
DimB[9,{7, 1, 1, 1}] = 8;
DimB[9,{6, 4}] = 3;
DimB[9,{6, 3, 1}] = 9;
DimB[9,{6, 2, 2}] = 16;
DimB[9,{6, 2, 1, 1}] = 28;
DimB[9,{6, 1, 1, 1, 1}] = 56;
DimB[9,{5, 5}] = 3;
DimB[9,{5, 4, 1}] = 14;
DimB[9,{5, 3, 2}] = 28;
DimB[9,{5, 3, 1, 1}] = 56;
DimB[9,{5, 2, 2, 1}] = 84;
DimB[9,{5, 2, 1, 1, 1}] = 168;
DimB[9,{5, 1, 1, 1, 1, 1}] = 336;
DimB[9,{4, 4, 2}] = 38;
DimB[9,{4, 4, 1, 1}] = 70;
DimB[9,{4, 3, 3}] = 46;
DimB[9,{4, 3, 2, 1}] = 140;
DimB[9,{4, 3, 1, 1, 1}] = 280;
DimB[9,{4, 2, 2, 2}] = 216;
DimB[9,{4, 2, 2, 1, 1}] = 420;
DimB[9,{4, 2, 1, 1, 1, 1}] = TooHard;
DimB[9,{4, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{3, 3, 3, 1}] = 186;
DimB[9,{3, 3, 2, 2}] = TooHard;
DimB[9,{3, 3, 2, 1, 1}] = TooHard;
DimB[9,{3, 3, 1, 1, 1, 1}] = TooHard;
DimB[9,{3, 2, 2, 2, 1}] = TooHard;
DimB[9,{3, 2, 2, 1, 1, 1}] = TooHard;
DimB[9,{3, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{3, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 2, 2, 2}] = TooHard;
DimB[9,{2, 2, 2, 2, 1, 1}] = TooHard;
DimB[9,{2, 2, 2, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 2, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{2, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[9,{1, 1, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[10,{}] = TooHard;
DimB[10,{1}] = 0;

DimB[10,{2}] = TooHard;
DimB[10,{1, 1}] = TooHard;

DimB[10,{3}] = TooHard;
DimB[10,{2, 1}] = TooHard;
DimB[10,{1, 1, 1}] = TooHard;

DimB[10,{4}] = TooHard;
DimB[10,{3, 1}] = TooHard;
DimB[10,{2, 2}] = TooHard;
DimB[10,{2, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1}] = TooHard;

DimB[10,{5}] = TooHard;
DimB[10,{4, 1}] = TooHard;
DimB[10,{3, 2}] = TooHard;
DimB[10,{3, 1, 1}] = TooHard;
DimB[10,{2, 2, 1}] = TooHard;
DimB[10,{2, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1}] = TooHard;

DimB[10,{6}] = TooHard;
DimB[10,{5, 1}] = TooHard;
DimB[10,{4, 2}] = TooHard;
DimB[10,{4, 1, 1}] = TooHard;
DimB[10,{3, 3}] = TooHard;
DimB[10,{3, 2, 1}] = TooHard;
DimB[10,{3, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2}] = TooHard;
DimB[10,{2, 2, 1, 1}] = TooHard;
DimB[10,{2, 1, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1, 1}] = TooHard;

DimB[10,{7}] = 0;
DimB[10,{6, 1}] = TooHard;
DimB[10,{5, 2}] = TooHard;
DimB[10,{5, 1, 1}] = TooHard;
DimB[10,{4, 3}] = TooHard;
DimB[10,{4, 2, 1}] = TooHard;
DimB[10,{4, 1, 1, 1}] = TooHard;
DimB[10,{3, 3, 1}] = TooHard;
DimB[10,{3, 2, 2}] = TooHard;
DimB[10,{3, 2, 1, 1}] = TooHard;
DimB[10,{3, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 1}] = TooHard;
DimB[10,{2, 2, 1, 1, 1}] = TooHard;
DimB[10,{2, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[10,{8}] = 4;
DimB[10,{7, 1}] = 6;
DimB[10,{6, 2}] = TooHard;
DimB[10,{6, 1, 1}] = TooHard;
DimB[10,{5, 3}] = TooHard;
DimB[10,{5, 2, 1}] = TooHard;
DimB[10,{5, 1, 1, 1}] = TooHard;
DimB[10,{4, 4}] = TooHard;
DimB[10,{4, 3, 1}] = TooHard;
DimB[10,{4, 2, 2}] = TooHard;
DimB[10,{4, 2, 1, 1}] = TooHard;
DimB[10,{4, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 3, 2}] = TooHard;
DimB[10,{3, 3, 1, 1}] = TooHard;
DimB[10,{3, 2, 2, 1}] = TooHard;
DimB[10,{3, 2, 1, 1, 1}] = TooHard;
DimB[10,{3, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 2}] = TooHard;
DimB[10,{2, 2, 2, 1, 1}] = TooHard;
DimB[10,{2, 2, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[10,{9}] = TooHard;
DimB[10,{8, 1}] = 0;
DimB[10,{7, 2}] = 0;
DimB[10,{7, 1, 1}] = 10;
DimB[10,{6, 3}] = TooHard;
DimB[10,{6, 2, 1}] = TooHard;
DimB[10,{6, 1, 1, 1}] = TooHard;
DimB[10,{5, 4}] = TooHard;
DimB[10,{5, 3, 1}] = TooHard;
DimB[10,{5, 2, 2}] = TooHard;
DimB[10,{5, 2, 1, 1}] = TooHard;
DimB[10,{5, 1, 1, 1, 1}] = TooHard;
DimB[10,{4, 4, 1}] = TooHard;
DimB[10,{4, 3, 2}] = TooHard;
DimB[10,{4, 3, 1, 1}] = TooHard;
DimB[10,{4, 2, 2, 1}] = TooHard;
DimB[10,{4, 2, 1, 1, 1}] = TooHard;
DimB[10,{4, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 3, 3}] = TooHard;
DimB[10,{3, 3, 2, 1}] = TooHard;
DimB[10,{3, 3, 1, 1, 1}] = TooHard;
DimB[10,{3, 2, 2, 2}] = TooHard;
DimB[10,{3, 2, 2, 1, 1}] = TooHard;
DimB[10,{3, 2, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 2, 1}] = TooHard;
DimB[10,{2, 2, 2, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[10,{10}] = 1;
DimB[10,{9, 1}] = 1;
DimB[10,{8, 2}] = 5;
DimB[10,{8, 1, 1}] = 5;
DimB[10,{7, 3}] = 8;
DimB[10,{7, 2, 1}] = 20;
DimB[10,{7, 1, 1, 1}] = 36;
DimB[10,{6, 4}] = 16;
DimB[10,{6, 3, 1}] = 44;
DimB[10,{6, 2, 2}] = 74;
DimB[10,{6, 2, 1, 1}] = TooHard;
DimB[10,{6, 1, 1, 1, 1}] = TooHard;
DimB[10,{5, 5}] = 16;
DimB[10,{5, 4, 1}] = 66;
DimB[10,{5, 3, 2}] = TooHard;
DimB[10,{5, 3, 1, 1}] = TooHard;
DimB[10,{5, 2, 2, 1}] = TooHard;
DimB[10,{5, 2, 1, 1, 1}] = TooHard;
DimB[10,{5, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{4, 4, 2}] = TooHard;
DimB[10,{4, 4, 1, 1}] = TooHard;
DimB[10,{4, 3, 3}] = TooHard;
DimB[10,{4, 3, 2, 1}] = TooHard;
DimB[10,{4, 3, 1, 1, 1}] = TooHard;
DimB[10,{4, 2, 2, 2}] = TooHard;
DimB[10,{4, 2, 2, 1, 1}] = TooHard;
DimB[10,{4, 2, 1, 1, 1, 1}] = TooHard;
DimB[10,{4, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 3, 3, 1}] = TooHard;
DimB[10,{3, 3, 2, 2}] = TooHard;
DimB[10,{3, 3, 2, 1, 1}] = TooHard;
DimB[10,{3, 3, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 2, 2, 2, 1}] = TooHard;
DimB[10,{3, 2, 2, 1, 1, 1}] = TooHard;
DimB[10,{3, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 2, 2}] = TooHard;
DimB[10,{2, 2, 2, 2, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[10,{11}] = 0;
DimB[10,{10, 1}] = 0;
DimB[10,{9, 2}] = 0;
DimB[10,{9, 1, 1}] = 1;
DimB[10,{8, 3}] = 1;
DimB[10,{8, 2, 1}] = 4;
DimB[10,{8, 1, 1, 1}] = 9;
DimB[10,{7, 4}] = 2;
DimB[10,{7, 3, 1}] = 12;
DimB[10,{7, 2, 2}] = 16;
DimB[10,{7, 2, 1, 1}] = 36;
DimB[10,{7, 1, 1, 1, 1}] = 72;
DimB[10,{6, 5}] = 3;
DimB[10,{6, 4, 1}] = 20;
DimB[10,{6, 3, 2}] = 40;
DimB[10,{6, 3, 1, 1}] = 84;
DimB[10,{6, 2, 2, 1}] = 124;
DimB[10,{6, 2, 1, 1, 1}] = 252;
DimB[10,{6, 1, 1, 1, 1, 1}] = 504;
DimB[10,{5, 5, 1}] = 25;
DimB[10,{5, 4, 2}] = 60;
DimB[10,{5, 4, 1, 1}] = 126;
DimB[10,{5, 3, 3}] = 84;
DimB[10,{5, 3, 2, 1}] = 252;
DimB[10,{5, 3, 1, 1, 1}] = TooHard;
DimB[10,{5, 2, 2, 2}] = TooHard;
DimB[10,{5, 2, 2, 1, 1}] = TooHard;
DimB[10,{5, 2, 1, 1, 1, 1}] = TooHard;
DimB[10,{5, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{4, 4, 3}] = 102;
DimB[10,{4, 4, 2, 1}] = TooHard;
DimB[10,{4, 4, 1, 1, 1}] = TooHard;
DimB[10,{4, 3, 3, 1}] = TooHard;
DimB[10,{4, 3, 2, 2}] = TooHard;
DimB[10,{4, 3, 2, 1, 1}] = TooHard;
DimB[10,{4, 3, 1, 1, 1, 1}] = TooHard;
DimB[10,{4, 2, 2, 2, 1}] = TooHard;
DimB[10,{4, 2, 2, 1, 1, 1}] = TooHard;
DimB[10,{4, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{4, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 3, 3, 2}] = TooHard;
DimB[10,{3, 3, 3, 1, 1}] = TooHard;
DimB[10,{3, 3, 2, 2, 1}] = TooHard;
DimB[10,{3, 3, 2, 1, 1, 1}] = TooHard;
DimB[10,{3, 3, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 2, 2, 2, 2}] = TooHard;
DimB[10,{3, 2, 2, 2, 1, 1}] = TooHard;
DimB[10,{3, 2, 2, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 2, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{3, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 2, 2, 1}] = TooHard;
DimB[10,{2, 2, 2, 2, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 2, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 2, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{2, 1, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;
DimB[10,{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}] = TooHard;

DimB[11, {8}] = 8
DimB[11, {9}] = 0
DimB[11, {8, 1}] = 0
DimB[11, {10}] = 2
DimB[11, {9, 1}] = 3
DimB[11, {8, 2}] = 15
DimB[11, {8, 1, 1}] = 16
DimB[11, {11}] = 0
DimB[11, {10, 1}] = 0
DimB[11, {9, 2}] = 0
DimB[11, {9, 1, 1}] = 5
DimB[11, {8, 3}] = 5
DimB[11, {8, 2, 1}] = 20
DimB[11, {8, 1, 1, 1}] = 45
DimB[11, {7, 4}] = 10
DimB[11, {7, 3, 1}] = 60
DimB[11, {6, 5}] = 16
DimB[11, {12}] = 0
DimB[11, {11, 1}] = 0
DimB[11, {10, 2}] = 1
DimB[11, {10, 1, 1}] = 1
DimB[11, {9, 3}] = 2
DimB[11, {9, 2, 1}] = 5
DimB[11, {9, 1, 1, 1}] = 10
DimB[11, {8, 4}] = 5
DimB[11, {8, 3, 1}] = 15
DimB[11, {8, 2, 2}] = 25
DimB[11, {8, 2, 1, 1}] = 45
DimB[11, {8, 1, 1, 1, 1}] = 90
DimB[11, {7, 5}] = 6
DimB[11, {7, 4, 1}] = 30
DimB[11, {7, 3, 2}] = 60
DimB[11, {7, 3, 1, 1}] = 120
DimB[11, {7, 2, 2, 1}] = 180
DimB[11, {7, 2, 1, 1, 1}] = 360
DimB[11, {6, 6}] = 9
DimB[11, {6, 5, 1}] = 42
DimB[11, {6, 4, 2}] = 110
DimB[11, {6, 4, 1, 1}] = 210
DimB[11, {6, 3, 3}] = 141
DimB[11, {5, 5, 2}] = 126

DimB[12, {10}] = 5
DimB[12, {10, 1}] = 0
DimB[12, {9, 2}] = 0
DimB[12, {12}] = 1
DimB[12, {11, 1}] = 1
DimB[12, {10, 2}] = 6
DimB[12, {10, 1, 1}] = 6
DimB[12, {9, 3}] = 12
DimB[12, {9, 2, 1}] = 30
DimB[12, {9, 1, 1, 1}] = 55
DimB[12, {8, 4}] = 29
DimB[12, {7, 5}] = 38
DimB[12, {13}] = 0
DimB[12, {12, 1}] = 0
DimB[12, {11, 2}] = 0
DimB[12, {11, 1, 1}] = 1
DimB[12, {10, 3}] = 1
DimB[12, {10, 2, 1}] = 5
DimB[12, {10, 1, 1, 1}] = 11
DimB[12, {9, 4}] = 3
DimB[12, {9, 3, 1}] = 18
DimB[12, {9, 2, 2}] = 25
DimB[12, {9, 2, 1, 1}] = 55
DimB[12, {9, 1, 1, 1, 1}] = 110
DimB[12, {8, 5}] = 7
DimB[12, {8, 4, 1}] = 40
DimB[12, {8, 3, 2}] = 80
DimB[12, {8, 3, 1, 1}] = 165
DimB[12, {7, 6}] = 9
DimB[12, {7, 5, 1}] = 66
DimB[12, {6, 6, 1}] = 75

DimB[13, {11}] = 0
DimB[13, {12}] = 3
DimB[13, {11, 1}] = 4
DimB[13, {13}] = 0
DimB[13, {12, 1}] = 0
DimB[13, {11, 2}] = 0
DimB[13, {11, 1, 1}] = 6
DimB[13, {10, 3}] = 8
DimB[13, {10, 2, 1}] = 30
DimB[13, {9, 4}] = 20
DimB[13, {14}] = 0
DimB[13, {13, 1}] = 0
DimB[13, {12, 2}] = 1
DimB[13, {12, 1, 1}] = 1
DimB[13, {11, 3}] = 2
DimB[13, {11, 2, 1}] = 6
DimB[13, {11, 1, 1, 1}] = 12
DimB[13, {10, 4}] = 7
DimB[13, {10, 3, 1}] = 22
DimB[13, {10, 2, 2}] = 36
DimB[13, {10, 2, 1, 1}] = 66
DimB[13, {10, 1, 1, 1, 1}] = 132
DimB[13, {9, 5}] = 11
DimB[13, {9, 4, 1}] = 55
DimB[13, {9, 3, 2}] = 110
DimB[13, {8, 6}] = 19
DimB[13, {8, 5, 1}] = 99
DimB[13, {7, 7}] = 19

DimB[14, {12}] = 7
DimB[14, {12, 1}] = 0
DimB[14, {14}] = 1
DimB[14, {13, 1}] = 1
DimB[14, {12, 2}] = 7
DimB[14, {12, 1, 1}] = 7
DimB[14, {11, 3}] = 16
DimB[14, {11, 2, 1}] = 42
DimB[14, {15}] = 0
DimB[14, {14, 1}] = 0
DimB[14, {13, 2}] = 0
DimB[14, {13, 1, 1}] = 1
DimB[14, {12, 3}] = 2
DimB[14, {12, 2, 1}] = 6
DimB[14, {12, 1, 1, 1}] = 13
DimB[14, {11, 4}] = 5
DimB[14, {11, 3, 1}] = 26
DimB[14, {11, 2, 2}] = 36
DimB[14, {11, 2, 1, 1}] = 78
DimB[14, {11, 1, 1, 1, 1}] = 156
DimB[14, {10, 5}] = 13
DimB[14, {10, 4, 1}] = 70
DimB[14, {9, 6}] = 22
DimB[14, {8, 7}] = 28

DimB[15, {13}] = 0
DimB[15, {14}] = 3
DimB[15, {13, 1}] = 5
DimB[15, {15}] = 0
DimB[15, {14, 1}] = 0
DimB[15, {13, 2}] = 0
DimB[15, {13, 1, 1}] = 7
DimB[15, {12, 3}] = 12
DimB[15, {12, 2, 1}] = 42
DimB[15, {16}] = 0
DimB[15, {15, 1}] = 0
DimB[15, {14, 2}] = 1
DimB[15, {14, 1, 1}] = 1
DimB[15, {13, 3}] = 2
DimB[15, {13, 2, 1}] = 7
DimB[15, {13, 1, 1, 1}] = 14
DimB[15, {12, 4}] = 9
DimB[15, {12, 3, 1}] = 30
DimB[15, {12, 2, 2}] = 49
DimB[15, {12, 2, 1, 1}] = 91
DimB[15, {12, 1, 1, 1, 1}] = 182
DimB[15, {11, 5}] = 18
DimB[15, {11, 4, 1}] = 91
DimB[15, {10, 6}] = 36
DimB[15, {9, 7}] = 47
DimB[15, {8, 8}] = 58

DimB[16, {14}] = 8
DimB[16, {14, 1}] = 0
DimB[16, {16}] = 1
DimB[16, {15, 1}] = 1
DimB[16, {14, 2}] = 8
DimB[16, {14, 1, 1}] = 8
DimB[16, {13, 3}] = 21
DimB[16, {17}] = 0
DimB[16, {16, 1}] = 0
DimB[16, {15, 2}] = 0
DimB[16, {15, 1, 1}] = 1
DimB[16, {14, 3}] = 2
DimB[16, {14, 2, 1}] = 7
DimB[16, {14, 1, 1, 1}] = 15
DimB[16, {13, 4}] = 7
DimB[16, {13, 3, 1}] = 35
DimB[16, {13, 2, 2}] = 49
DimB[16, {13, 2, 1, 1}] = 105
DimB[16, {13, 1, 1, 1, 1}] = 210
DimB[16, {12, 5}] = 21
DimB[16, {11, 6}] = 42

DimB[17, {15}] = 0
DimB[17, {16}] = 3
DimB[17, {15, 1}] = 5
DimB[17, {17}] = 0
DimB[17, {16, 1}] = 0
DimB[17, {15, 2}] = 0
DimB[17, {15, 1, 1}] = 8
DimB[17, {14, 3}] = 16
DimB[17, {18}] = 0
DimB[17, {17, 1}] = 0
DimB[17, {16, 2}] = 1
DimB[17, {16, 1, 1}] = 1
DimB[17, {15, 3}] = 3
DimB[17, {15, 2, 1}] = 8
DimB[17, {15, 1, 1, 1}] = 16
DimB[17, {14, 4}] = 12
DimB[17, {14, 3, 1}] = 40
DimB[17, {14, 2, 2}] = 64
DimB[17, {14, 2, 1, 1}] = 120
DimB[17, {14, 1, 1, 1, 1}] = 240
DimB[17, {13, 5}] = 28

DimB[18, {16}] = 10
DimB[18, {16, 1}] = 0
DimB[18, {18}] = 1
DimB[18, {17, 1}] = 1
DimB[18, {16, 2}] = 9
DimB[18, {16, 1, 1}] = 9
DimB[18, {15, 3}] = 27
DimB[18, {19}] = 0
DimB[18, {18, 1}] = 0
DimB[18, {17, 2}] = 0
DimB[18, {17, 1, 1}] = 1
DimB[18, {16, 3}] = 2
DimB[18, {16, 2, 1}] = 8
DimB[18, {16, 1, 1, 1}] = 17
DimB[18, {15, 4}] = 9
DimB[18, {15, 3, 1}] = 45
DimB[18, {15, 2, 2}] = 64
DimB[18, {15, 2, 1, 1}] = 136
DimB[18, {14, 5}] = 32

DimB[19, {17}] = 0
DimB[19, {18}] = 4
DimB[19, {17, 1}] = 6
DimB[19, {19}] = 0
DimB[19, {18, 1}] = 0
DimB[19, {17, 2}] = 0
DimB[19, {17, 1, 1}] = 9
DimB[19, {20}] = 0
DimB[19, {19, 1}] = 0
DimB[19, {18, 2}] = 1
DimB[19, {18, 1, 1}] = 1
DimB[19, {17, 3}] = 3
DimB[19, {17, 2, 1}] = 9
DimB[19, {17, 1, 1, 1}] = 18
DimB[19, {16, 4}] = 15
DimB[19, {16, 3, 1}] = 51
DimB[19, {16, 2, 2}] = 81
DimB[19, {16, 2, 1, 1}] = 153
DimB[19, {15, 5}] = 41

DimB[20, {18, 1}] = 0
DimB[20, {20}] = 1
DimB[20, {19, 1}] = 1
DimB[20, {18, 2}] = 10
DimB[20, {18, 1, 1}] = 10
DimB[20, {21}] = 0
DimB[20, {20, 1}] = 0
DimB[20, {19, 2}] = 0
DimB[20, {19, 1, 1}] = 1
DimB[20, {18, 3}] = 3
DimB[20, {18, 2, 1}] = 9
DimB[20, {18, 1, 1, 1}] = 19
DimB[20, {17, 4}] = 12
DimB[20, {17, 3, 1}] = 57
DimB[20, {16, 5}] = 46
