Identifier
Identifier
Values
[1] generating graphics... => 1
[2] generating graphics... => 0
[1,1] generating graphics... => 1
[3] generating graphics... => 0
[2,1] generating graphics... => 0
[1,1,1] generating graphics... => 1
[4] generating graphics... => 0
[3,1] generating graphics... => 0
[2,2] generating graphics... => 0
[2,1,1] generating graphics... => 1
[1,1,1,1] generating graphics... => 2
[5] generating graphics... => 0
[4,1] generating graphics... => 0
[3,2] generating graphics... => 0
[3,1,1] generating graphics... => 0
[2,2,1] generating graphics... => 0
[2,1,1,1] generating graphics... => 0
[1,1,1,1,1] generating graphics... => 1
[6] generating graphics... => 0
[5,1] generating graphics... => 0
[4,2] generating graphics... => 0
[4,1,1] generating graphics... => 0
[3,3] generating graphics... => 0
[3,2,1] generating graphics... => 0
[3,1,1,1] generating graphics... => 1
[2,2,2] generating graphics... => 0
[2,2,1,1] generating graphics... => 1
[2,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1] generating graphics... => 1
[7] generating graphics... => 0
[6,1] generating graphics... => 0
[5,2] generating graphics... => 0
[5,1,1] generating graphics... => 0
[4,3] generating graphics... => 0
[4,2,1] generating graphics... => 0
[4,1,1,1] generating graphics... => 0
[3,3,1] generating graphics... => 0
[3,2,2] generating graphics... => 0
[3,2,1,1] generating graphics... => 0
[3,1,1,1,1] generating graphics... => 0
[2,2,2,1] generating graphics... => 0
[2,2,1,1,1] generating graphics... => 0
[2,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1] generating graphics... => 1
[8] generating graphics... => 0
[7,1] generating graphics... => 0
[6,2] generating graphics... => 0
[6,1,1] generating graphics... => 0
[5,3] generating graphics... => 0
[5,2,1] generating graphics... => 0
[5,1,1,1] generating graphics... => 0
[4,4] generating graphics... => 0
[4,3,1] generating graphics... => 0
[4,2,2] generating graphics... => 0
[4,2,1,1] generating graphics... => 0
[4,1,1,1,1] generating graphics... => 1
[3,3,2] generating graphics... => 0
[3,3,1,1] generating graphics... => 0
[3,2,2,1] generating graphics... => 0
[3,2,1,1,1] generating graphics... => 0
[3,1,1,1,1,1] generating graphics... => 0
[2,2,2,2] generating graphics... => 0
[2,2,2,1,1] generating graphics... => 1
[2,2,1,1,1,1] generating graphics... => 2
[2,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1] generating graphics... => 3
[9] generating graphics... => 0
[8,1] generating graphics... => 0
[7,2] generating graphics... => 0
[7,1,1] generating graphics... => 0
[6,3] generating graphics... => 0
[6,2,1] generating graphics... => 0
[6,1,1,1] generating graphics... => 0
[5,4] generating graphics... => 0
[5,3,1] generating graphics... => 0
[5,2,2] generating graphics... => 0
[5,2,1,1] generating graphics... => 0
[5,1,1,1,1] generating graphics... => 0
[4,4,1] generating graphics... => 0
[4,3,2] generating graphics... => 0
[4,3,1,1] generating graphics... => 0
[4,2,2,1] generating graphics... => 0
[4,2,1,1,1] generating graphics... => 0
[4,1,1,1,1,1] generating graphics... => 0
[3,3,3] generating graphics... => 0
[3,3,2,1] generating graphics... => 0
[3,3,1,1,1] generating graphics... => 1
[3,2,2,2] generating graphics... => 0
[3,2,2,1,1] generating graphics... => 0
[3,2,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,1] generating graphics... => 0
[2,2,2,1,1,1] generating graphics... => 0
[2,2,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1] generating graphics... => 2
[10] generating graphics... => 0
[9,1] generating graphics... => 0
[8,2] generating graphics... => 0
[8,1,1] generating graphics... => 0
[7,3] generating graphics... => 0
[7,2,1] generating graphics... => 0
[7,1,1,1] generating graphics... => 0
[6,4] generating graphics... => 0
[6,3,1] generating graphics... => 0
[6,2,2] generating graphics... => 0
[6,2,1,1] generating graphics... => 0
[6,1,1,1,1] generating graphics... => 0
[5,5] generating graphics... => 0
[5,4,1] generating graphics... => 0
[5,3,2] generating graphics... => 0
[5,3,1,1] generating graphics... => 0
[5,2,2,1] generating graphics... => 0
[5,2,1,1,1] generating graphics... => 0
[5,1,1,1,1,1] generating graphics... => 0
[4,4,2] generating graphics... => 0
[4,4,1,1] generating graphics... => 0
[4,3,3] generating graphics... => 0
[4,3,2,1] generating graphics... => 0
[4,3,1,1,1] generating graphics... => 0
[4,2,2,2] generating graphics... => 0
[4,2,2,1,1] generating graphics... => 0
[4,2,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,1] generating graphics... => 0
[3,3,2,2] generating graphics... => 0
[3,3,2,1,1] generating graphics... => 1
[3,3,1,1,1,1] generating graphics... => 0
[3,2,2,2,1] generating graphics... => 0
[3,2,2,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2] generating graphics... => 0
[2,2,2,2,1,1] generating graphics... => 2
[2,2,2,1,1,1,1] generating graphics... => 3
[2,2,1,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[11] generating graphics... => 0
[10,1] generating graphics... => 0
[9,2] generating graphics... => 0
[9,1,1] generating graphics... => 0
[8,3] generating graphics... => 0
[8,2,1] generating graphics... => 0
[8,1,1,1] generating graphics... => 0
[7,4] generating graphics... => 0
[7,3,1] generating graphics... => 0
[7,2,2] generating graphics... => 0
[7,2,1,1] generating graphics... => 0
[7,1,1,1,1] generating graphics... => 0
[6,5] generating graphics... => 0
[6,4,1] generating graphics... => 0
[6,3,2] generating graphics... => 0
[6,3,1,1] generating graphics... => 0
[6,2,2,1] generating graphics... => 0
[6,2,1,1,1] generating graphics... => 0
[6,1,1,1,1,1] generating graphics... => 0
[5,5,1] generating graphics... => 0
[5,4,2] generating graphics... => 0
[5,4,1,1] generating graphics... => 0
[5,3,3] generating graphics... => 0
[5,3,2,1] generating graphics... => 0
[5,3,1,1,1] generating graphics... => 0
[5,2,2,2] generating graphics... => 0
[5,2,2,1,1] generating graphics... => 0
[5,2,1,1,1,1] generating graphics... => 0
[5,1,1,1,1,1,1] generating graphics... => 0
[4,4,3] generating graphics... => 0
[4,4,2,1] generating graphics... => 0
[4,4,1,1,1] generating graphics... => 0
[4,3,3,1] generating graphics... => 0
[4,3,2,2] generating graphics... => 0
[4,3,2,1,1] generating graphics... => 0
[4,3,1,1,1,1] generating graphics... => 0
[4,2,2,2,1] generating graphics... => 0
[4,2,2,1,1,1] generating graphics... => 0
[4,2,1,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,2] generating graphics... => 0
[3,3,3,1,1] generating graphics... => 0
[3,3,2,2,1] generating graphics... => 0
[3,3,2,1,1,1] generating graphics... => 0
[3,3,1,1,1,1,1] generating graphics... => 0
[3,2,2,2,2] generating graphics... => 0
[3,2,2,2,1,1] generating graphics... => 0
[3,2,2,1,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2,1] generating graphics... => 0
[2,2,2,2,1,1,1] generating graphics... => 0
[2,2,2,1,1,1,1,1] generating graphics... => 0
[2,2,1,1,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[12] generating graphics... => 0
[11,1] generating graphics... => 0
[10,2] generating graphics... => 0
[10,1,1] generating graphics... => 0
[9,3] generating graphics... => 0
[9,2,1] generating graphics... => 0
[9,1,1,1] generating graphics... => 0
[8,4] generating graphics... => 0
[8,3,1] generating graphics... => 0
[8,2,2] generating graphics... => 0
[8,2,1,1] generating graphics... => 0
[8,1,1,1,1] generating graphics... => 0
[7,5] generating graphics... => 0
[7,4,1] generating graphics... => 0
[7,3,2] generating graphics... => 0
[7,3,1,1] generating graphics... => 0
[7,2,2,1] generating graphics... => 0
[7,2,1,1,1] generating graphics... => 0
[7,1,1,1,1,1] generating graphics... => 0
[6,6] generating graphics... => 0
[6,5,1] generating graphics... => 0
[6,4,2] generating graphics... => 0
[6,4,1,1] generating graphics... => 0
[6,3,3] generating graphics... => 0
[6,3,2,1] generating graphics... => 0
[6,3,1,1,1] generating graphics... => 0
[6,2,2,2] generating graphics... => 0
[6,2,2,1,1] generating graphics... => 0
[6,2,1,1,1,1] generating graphics... => 0
[6,1,1,1,1,1,1] generating graphics... => 1
[5,5,2] generating graphics... => 0
[5,5,1,1] generating graphics... => 0
[5,4,3] generating graphics... => 0
[5,4,2,1] generating graphics... => 0
[5,4,1,1,1] generating graphics... => 0
[5,3,3,1] generating graphics... => 0
[5,3,2,2] generating graphics... => 0
[5,3,2,1,1] generating graphics... => 0
[5,3,1,1,1,1] generating graphics... => 0
[5,2,2,2,1] generating graphics... => 0
[5,2,2,1,1,1] generating graphics... => 0
[5,2,1,1,1,1,1] generating graphics... => 0
[5,1,1,1,1,1,1,1] generating graphics... => 0
[4,4,4] generating graphics... => 0
[4,4,3,1] generating graphics... => 0
[4,4,2,2] generating graphics... => 0
[4,4,2,1,1] generating graphics... => 0
[4,4,1,1,1,1] generating graphics... => 1
[4,3,3,2] generating graphics... => 0
[4,3,3,1,1] generating graphics... => 0
[4,3,2,2,1] generating graphics... => 0
[4,3,2,1,1,1] generating graphics... => 0
[4,3,1,1,1,1,1] generating graphics... => 0
[4,2,2,2,2] generating graphics... => 0
[4,2,2,2,1,1] generating graphics... => 0
[4,2,2,1,1,1,1] generating graphics... => 0
[4,2,1,1,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,3] generating graphics... => 0
[3,3,3,2,1] generating graphics... => 0
[3,3,3,1,1,1] generating graphics... => 0
[3,3,2,2,2] generating graphics... => 0
[3,3,2,2,1,1] generating graphics... => 0
[3,3,2,1,1,1,1] generating graphics... => 0
[3,3,1,1,1,1,1,1] generating graphics... => 1
[3,2,2,2,2,1] generating graphics... => 0
[3,2,2,2,1,1,1] generating graphics... => 1
[3,2,2,1,1,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2,2] generating graphics... => 0
[2,2,2,2,2,1,1] generating graphics... => 1
[2,2,2,2,1,1,1,1] generating graphics... => 2
[2,2,2,1,1,1,1,1,1] generating graphics... => 1
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 6
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 2
[13] generating graphics... => 0
[12,1] generating graphics... => 0
[11,2] generating graphics... => 0
[11,1,1] generating graphics... => 0
[10,3] generating graphics... => 0
[10,2,1] generating graphics... => 0
[10,1,1,1] generating graphics... => 0
[9,4] generating graphics... => 0
[9,3,1] generating graphics... => 0
[9,2,2] generating graphics... => 0
[9,2,1,1] generating graphics... => 0
[9,1,1,1,1] generating graphics... => 0
[8,5] generating graphics... => 0
[8,4,1] generating graphics... => 0
[8,3,2] generating graphics... => 0
[8,3,1,1] generating graphics... => 0
[8,2,2,1] generating graphics... => 0
[8,2,1,1,1] generating graphics... => 0
[8,1,1,1,1,1] generating graphics... => 0
[7,6] generating graphics... => 0
[7,5,1] generating graphics... => 0
[7,4,2] generating graphics... => 0
[7,4,1,1] generating graphics... => 0
[7,3,3] generating graphics... => 0
[7,3,2,1] generating graphics... => 0
[7,3,1,1,1] generating graphics... => 0
[7,2,2,2] generating graphics... => 0
[7,2,2,1,1] generating graphics... => 0
[7,2,1,1,1,1] generating graphics... => 0
[7,1,1,1,1,1,1] generating graphics... => 0
[6,6,1] generating graphics... => 0
[6,5,2] generating graphics... => 0
[6,5,1,1] generating graphics... => 0
[6,4,3] generating graphics... => 0
[6,4,2,1] generating graphics... => 0
[6,4,1,1,1] generating graphics... => 0
[6,3,3,1] generating graphics... => 0
[6,3,2,2] generating graphics... => 0
[6,3,2,1,1] generating graphics... => 0
[6,3,1,1,1,1] generating graphics... => 0
[6,2,2,2,1] generating graphics... => 0
[6,2,2,1,1,1] generating graphics... => 0
[6,2,1,1,1,1,1] generating graphics... => 0
[6,1,1,1,1,1,1,1] generating graphics... => 0
[5,5,3] generating graphics... => 0
[5,5,2,1] generating graphics... => 0
[5,5,1,1,1] generating graphics... => 0
[5,4,4] generating graphics... => 0
[5,4,3,1] generating graphics... => 0
[5,4,2,2] generating graphics... => 0
[5,4,2,1,1] generating graphics... => 0
[5,4,1,1,1,1] generating graphics... => 0
[5,3,3,2] generating graphics... => 0
[5,3,3,1,1] generating graphics... => 0
[5,3,2,2,1] generating graphics... => 0
[5,3,2,1,1,1] generating graphics... => 0
[5,3,1,1,1,1,1] generating graphics... => 0
[5,2,2,2,2] generating graphics... => 0
[5,2,2,2,1,1] generating graphics... => 0
[5,2,2,1,1,1,1] generating graphics... => 0
[5,2,1,1,1,1,1,1] generating graphics... => 0
[5,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,4,4,1] generating graphics... => 0
[4,4,3,2] generating graphics... => 0
[4,4,3,1,1] generating graphics... => 0
[4,4,2,2,1] generating graphics... => 0
[4,4,2,1,1,1] generating graphics... => 0
[4,4,1,1,1,1,1] generating graphics... => 0
[4,3,3,3] generating graphics... => 0
[4,3,3,2,1] generating graphics... => 0
[4,3,3,1,1,1] generating graphics... => 0
[4,3,2,2,2] generating graphics... => 0
[4,3,2,2,1,1] generating graphics... => 0
[4,3,2,1,1,1,1] generating graphics... => 0
[4,3,1,1,1,1,1,1] generating graphics... => 0
[4,2,2,2,2,1] generating graphics... => 0
[4,2,2,2,1,1,1] generating graphics... => 0
[4,2,2,1,1,1,1,1] generating graphics... => 0
[4,2,1,1,1,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,3,1] generating graphics... => 0
[3,3,3,2,2] generating graphics... => 0
[3,3,3,2,1,1] generating graphics... => 0
[3,3,3,1,1,1,1] generating graphics... => 0
[3,3,2,2,2,1] generating graphics... => 0
[3,3,2,2,1,1,1] generating graphics... => 0
[3,3,2,1,1,1,1,1] generating graphics... => 0
[3,3,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,2,2,2,2] generating graphics... => 0
[3,2,2,2,2,1,1] generating graphics... => 0
[3,2,2,2,1,1,1,1] generating graphics... => 0
[3,2,2,1,1,1,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2,2,1] generating graphics... => 0
[2,2,2,2,2,1,1,1] generating graphics... => 0
[2,2,2,2,1,1,1,1,1] generating graphics... => 0
[2,2,2,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[14] generating graphics... => 0
[13,1] generating graphics... => 0
[12,2] generating graphics... => 0
[12,1,1] generating graphics... => 0
[11,3] generating graphics... => 0
[11,2,1] generating graphics... => 0
[11,1,1,1] generating graphics... => 0
[10,4] generating graphics... => 0
[10,3,1] generating graphics... => 0
[10,2,2] generating graphics... => 0
[10,2,1,1] generating graphics... => 0
[10,1,1,1,1] generating graphics... => 0
[9,5] generating graphics... => 0
[9,4,1] generating graphics... => 0
[9,3,2] generating graphics... => 0
[9,3,1,1] generating graphics... => 0
[9,2,2,1] generating graphics... => 0
[9,2,1,1,1] generating graphics... => 0
[9,1,1,1,1,1] generating graphics... => 0
[8,6] generating graphics... => 0
[8,5,1] generating graphics... => 0
[8,4,2] generating graphics... => 0
[8,4,1,1] generating graphics... => 0
[8,3,3] generating graphics... => 0
[8,3,2,1] generating graphics... => 0
[8,3,1,1,1] generating graphics... => 0
[8,2,2,2] generating graphics... => 0
[8,2,2,1,1] generating graphics... => 0
[8,2,1,1,1,1] generating graphics... => 1
[8,1,1,1,1,1,1] generating graphics... => 0
[7,7] generating graphics... => 0
[7,6,1] generating graphics... => 0
[7,5,2] generating graphics... => 0
[7,5,1,1] generating graphics... => 0
[7,4,3] generating graphics... => 0
[7,4,2,1] generating graphics... => 0
[7,4,1,1,1] generating graphics... => 0
[7,3,3,1] generating graphics... => 0
[7,3,2,2] generating graphics... => 0
[7,3,2,1,1] generating graphics... => 0
[7,3,1,1,1,1] generating graphics... => 0
[7,2,2,2,1] generating graphics... => 0
[7,2,2,1,1,1] generating graphics... => 0
[7,2,1,1,1,1,1] generating graphics... => 0
[7,1,1,1,1,1,1,1] generating graphics... => 1
[6,6,2] generating graphics... => 0
[6,6,1,1] generating graphics... => 0
[6,5,3] generating graphics... => 0
[6,5,2,1] generating graphics... => 0
[6,5,1,1,1] generating graphics... => 0
[6,4,4] generating graphics... => 0
[6,4,3,1] generating graphics... => 0
[6,4,2,2] generating graphics... => 0
[6,4,2,1,1] generating graphics... => 0
[6,4,1,1,1,1] generating graphics... => 0
[6,3,3,2] generating graphics... => 0
[6,3,3,1,1] generating graphics... => 0
[6,3,2,2,1] generating graphics... => 0
[6,3,2,1,1,1] generating graphics... => 0
[6,3,1,1,1,1,1] generating graphics... => 0
[6,2,2,2,2] generating graphics... => 0
[6,2,2,2,1,1] generating graphics... => 0
[6,2,2,1,1,1,1] generating graphics... => 0
[6,2,1,1,1,1,1,1] generating graphics... => 0
[6,1,1,1,1,1,1,1,1] generating graphics... => 0
[5,5,4] generating graphics... => 0
[5,5,3,1] generating graphics... => 0
[5,5,2,2] generating graphics... => 0
[5,5,2,1,1] generating graphics... => 0
[5,5,1,1,1,1] generating graphics... => 0
[5,4,4,1] generating graphics... => 0
[5,4,3,2] generating graphics... => 0
[5,4,3,1,1] generating graphics... => 0
[5,4,2,2,1] generating graphics... => 0
[5,4,2,1,1,1] generating graphics... => 0
[5,4,1,1,1,1,1] generating graphics... => 0
[5,3,3,3] generating graphics... => 0
[5,3,3,2,1] generating graphics... => 0
[5,3,3,1,1,1] generating graphics... => 0
[5,3,2,2,2] generating graphics... => 0
[5,3,2,2,1,1] generating graphics... => 0
[5,3,2,1,1,1,1] generating graphics... => 0
[5,3,1,1,1,1,1,1] generating graphics... => 0
[5,2,2,2,2,1] generating graphics... => 0
[5,2,2,2,1,1,1] generating graphics... => 0
[5,2,2,1,1,1,1,1] generating graphics... => 0
[5,2,1,1,1,1,1,1,1] generating graphics... => 0
[5,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,4,4,2] generating graphics... => 0
[4,4,4,1,1] generating graphics... => 0
[4,4,3,3] generating graphics... => 0
[4,4,3,2,1] generating graphics... => 0
[4,4,3,1,1,1] generating graphics... => 0
[4,4,2,2,2] generating graphics... => 0
[4,4,2,2,1,1] generating graphics... => 0
[4,4,2,1,1,1,1] generating graphics... => 0
[4,4,1,1,1,1,1,1] generating graphics... => 0
[4,3,3,3,1] generating graphics... => 0
[4,3,3,2,2] generating graphics... => 0
[4,3,3,2,1,1] generating graphics... => 0
[4,3,3,1,1,1,1] generating graphics... => 0
[4,3,2,2,2,1] generating graphics... => 0
[4,3,2,2,1,1,1] generating graphics... => 0
[4,3,2,1,1,1,1,1] generating graphics... => 0
[4,3,1,1,1,1,1,1,1] generating graphics... => 0
[4,2,2,2,2,2] generating graphics... => 0
[4,2,2,2,2,1,1] generating graphics... => 0
[4,2,2,2,1,1,1,1] generating graphics... => 0
[4,2,2,1,1,1,1,1,1] generating graphics... => 0
[4,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,3,2] generating graphics... => 0
[3,3,3,3,1,1] generating graphics... => 0
[3,3,3,2,2,1] generating graphics... => 0
[3,3,3,2,1,1,1] generating graphics... => 0
[3,3,3,1,1,1,1,1] generating graphics... => 0
[3,3,2,2,2,2] generating graphics... => 0
[3,3,2,2,2,1,1] generating graphics... => 0
[3,3,2,2,1,1,1,1] generating graphics... => 0
[3,3,2,1,1,1,1,1,1] generating graphics... => 0
[3,3,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,2,2,2,2,1] generating graphics... => 0
[3,2,2,2,2,1,1,1] generating graphics... => 0
[3,2,2,2,1,1,1,1,1] generating graphics... => 0
[3,2,2,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2,2,2] generating graphics... => 0
[2,2,2,2,2,2,1,1] generating graphics... => 1
[2,2,2,2,2,1,1,1,1] generating graphics... => 3
[2,2,2,2,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[15] generating graphics... => 0
[14,1] generating graphics... => 0
[13,2] generating graphics... => 0
[13,1,1] generating graphics... => 0
[12,3] generating graphics... => 0
[12,2,1] generating graphics... => 0
[12,1,1,1] generating graphics... => 0
[11,4] generating graphics... => 0
[11,3,1] generating graphics... => 0
[11,2,2] generating graphics... => 0
[11,2,1,1] generating graphics... => 0
[11,1,1,1,1] generating graphics... => 0
[10,5] generating graphics... => 0
[10,4,1] generating graphics... => 0
[10,3,2] generating graphics... => 0
[10,3,1,1] generating graphics... => 0
[10,2,2,1] generating graphics... => 0
[10,2,1,1,1] generating graphics... => 0
[10,1,1,1,1,1] generating graphics... => 0
[9,6] generating graphics... => 0
[9,5,1] generating graphics... => 0
[9,4,2] generating graphics... => 0
[9,4,1,1] generating graphics... => 0
[9,3,3] generating graphics... => 0
[9,3,2,1] generating graphics... => 0
[9,3,1,1,1] generating graphics... => 0
[9,2,2,2] generating graphics... => 0
[9,2,2,1,1] generating graphics... => 0
[9,2,1,1,1,1] generating graphics... => 0
[9,1,1,1,1,1,1] generating graphics... => 0
[8,7] generating graphics... => 0
[8,6,1] generating graphics... => 0
[8,5,2] generating graphics... => 0
[8,5,1,1] generating graphics... => 0
[8,4,3] generating graphics... => 0
[8,4,2,1] generating graphics... => 0
[8,4,1,1,1] generating graphics... => 0
[8,3,3,1] generating graphics... => 0
[8,3,2,2] generating graphics... => 0
[8,3,2,1,1] generating graphics... => 0
[8,3,1,1,1,1] generating graphics... => 0
[8,2,2,2,1] generating graphics... => 0
[8,2,2,1,1,1] generating graphics... => 0
[8,2,1,1,1,1,1] generating graphics... => 0
[8,1,1,1,1,1,1,1] generating graphics... => 0
[7,7,1] generating graphics... => 0
[7,6,2] generating graphics... => 0
[7,6,1,1] generating graphics... => 0
[7,5,3] generating graphics... => 0
[7,5,2,1] generating graphics... => 0
[7,5,1,1,1] generating graphics... => 0
[7,4,4] generating graphics... => 0
[7,4,3,1] generating graphics... => 0
[7,4,2,2] generating graphics... => 0
[7,4,2,1,1] generating graphics... => 0
[7,4,1,1,1,1] generating graphics... => 0
[7,3,3,2] generating graphics... => 0
[7,3,3,1,1] generating graphics... => 0
[7,3,2,2,1] generating graphics... => 0
[7,3,2,1,1,1] generating graphics... => 0
[7,3,1,1,1,1,1] generating graphics... => 0
[7,2,2,2,2] generating graphics... => 0
[7,2,2,2,1,1] generating graphics... => 0
[7,2,2,1,1,1,1] generating graphics... => 0
[7,2,1,1,1,1,1,1] generating graphics... => 0
[7,1,1,1,1,1,1,1,1] generating graphics... => 0
[6,6,3] generating graphics... => 0
[6,6,2,1] generating graphics... => 0
[6,6,1,1,1] generating graphics... => 0
[6,5,4] generating graphics... => 0
[6,5,3,1] generating graphics... => 0
[6,5,2,2] generating graphics... => 0
[6,5,2,1,1] generating graphics... => 0
[6,5,1,1,1,1] generating graphics... => 0
[6,4,4,1] generating graphics... => 0
[6,4,3,2] generating graphics... => 0
[6,4,3,1,1] generating graphics... => 0
[6,4,2,2,1] generating graphics... => 0
[6,4,2,1,1,1] generating graphics... => 0
[6,4,1,1,1,1,1] generating graphics... => 0
[6,3,3,3] generating graphics... => 0
[6,3,3,2,1] generating graphics... => 0
[6,3,3,1,1,1] generating graphics... => 0
[6,3,2,2,2] generating graphics... => 0
[6,3,2,2,1,1] generating graphics... => 0
[6,3,2,1,1,1,1] generating graphics... => 0
[6,3,1,1,1,1,1,1] generating graphics... => 0
[6,2,2,2,2,1] generating graphics... => 0
[6,2,2,2,1,1,1] generating graphics... => 0
[6,2,2,1,1,1,1,1] generating graphics... => 0
[6,2,1,1,1,1,1,1,1] generating graphics... => 0
[6,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[5,5,5] generating graphics... => 0
[5,5,4,1] generating graphics... => 0
[5,5,3,2] generating graphics... => 0
[5,5,3,1,1] generating graphics... => 0
[5,5,2,2,1] generating graphics... => 0
[5,5,2,1,1,1] generating graphics... => 0
[5,5,1,1,1,1,1] generating graphics... => 1
[5,4,4,2] generating graphics... => 0
[5,4,4,1,1] generating graphics... => 0
[5,4,3,3] generating graphics... => 0
[5,4,3,2,1] generating graphics... => 0
[5,4,3,1,1,1] generating graphics... => 0
[5,4,2,2,2] generating graphics... => 0
[5,4,2,2,1,1] generating graphics... => 0
[5,4,2,1,1,1,1] generating graphics... => 0
[5,4,1,1,1,1,1,1] generating graphics... => 0
[5,3,3,3,1] generating graphics... => 0
[5,3,3,2,2] generating graphics... => 0
[5,3,3,2,1,1] generating graphics... => 0
[5,3,3,1,1,1,1] generating graphics... => 0
[5,3,2,2,2,1] generating graphics... => 0
[5,3,2,2,1,1,1] generating graphics... => 0
[5,3,2,1,1,1,1,1] generating graphics... => 0
[5,3,1,1,1,1,1,1,1] generating graphics... => 0
[5,2,2,2,2,2] generating graphics... => 0
[5,2,2,2,2,1,1] generating graphics... => 0
[5,2,2,2,1,1,1,1] generating graphics... => 0
[5,2,2,1,1,1,1,1,1] generating graphics... => 0
[5,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[5,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,4,4,3] generating graphics... => 0
[4,4,4,2,1] generating graphics... => 0
[4,4,4,1,1,1] generating graphics... => 0
[4,4,3,3,1] generating graphics... => 0
[4,4,3,2,2] generating graphics... => 0
[4,4,3,2,1,1] generating graphics... => 0
[4,4,3,1,1,1,1] generating graphics... => 0
[4,4,2,2,2,1] generating graphics... => 0
[4,4,2,2,1,1,1] generating graphics... => 0
[4,4,2,1,1,1,1,1] generating graphics... => 0
[4,4,1,1,1,1,1,1,1] generating graphics... => 0
[4,3,3,3,2] generating graphics... => 0
[4,3,3,3,1,1] generating graphics... => 0
[4,3,3,2,2,1] generating graphics... => 0
[4,3,3,2,1,1,1] generating graphics... => 0
[4,3,3,1,1,1,1,1] generating graphics... => 0
[4,3,2,2,2,2] generating graphics... => 0
[4,3,2,2,2,1,1] generating graphics... => 0
[4,3,2,2,1,1,1,1] generating graphics... => 0
[4,3,2,1,1,1,1,1,1] generating graphics... => 0
[4,3,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,2,2,2,2,2,1] generating graphics... => 0
[4,2,2,2,2,1,1,1] generating graphics... => 0
[4,2,2,2,1,1,1,1,1] generating graphics... => 0
[4,2,2,1,1,1,1,1,1,1] generating graphics... => 0
[4,2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,3,3] generating graphics... => 0
[3,3,3,3,2,1] generating graphics... => 0
[3,3,3,3,1,1,1] generating graphics... => 1
[3,3,3,2,2,2] generating graphics... => 0
[3,3,3,2,2,1,1] generating graphics... => 0
[3,3,3,2,1,1,1,1] generating graphics... => 0
[3,3,3,1,1,1,1,1,1] generating graphics... => 0
[3,3,2,2,2,2,1] generating graphics... => 0
[3,3,2,2,2,1,1,1] generating graphics... => 0
[3,3,2,2,1,1,1,1,1] generating graphics... => 0
[3,3,2,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,1,1,1,1,1,1,1,1,1] generating graphics... => 2
[3,2,2,2,2,2,2] generating graphics... => 0
[3,2,2,2,2,2,1,1] generating graphics... => 0
[3,2,2,2,2,1,1,1,1] generating graphics... => 0
[3,2,2,2,1,1,1,1,1,1] generating graphics... => 0
[3,2,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2,2,2,1] generating graphics... => 0
[2,2,2,2,2,2,1,1,1] generating graphics... => 0
[2,2,2,2,2,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[15,1] generating graphics... => 0
[14,2] generating graphics... => 0
[14,1,1] generating graphics... => 0
[13,3] generating graphics... => 0
[13,2,1] generating graphics... => 0
[13,1,1,1] generating graphics... => 0
[12,4] generating graphics... => 0
[12,3,1] generating graphics... => 0
[12,2,2] generating graphics... => 0
[12,2,1,1] generating graphics... => 0
[12,1,1,1,1] generating graphics... => 0
[11,5] generating graphics... => 0
[11,4,1] generating graphics... => 0
[11,3,2] generating graphics... => 0
[11,3,1,1] generating graphics... => 0
[11,2,2,1] generating graphics... => 0
[11,2,1,1,1] generating graphics... => 0
[11,1,1,1,1,1] generating graphics... => 0
[10,6] generating graphics... => 0
[10,5,1] generating graphics... => 0
[10,4,2] generating graphics... => 0
[10,4,1,1] generating graphics... => 0
[10,3,3] generating graphics... => 0
[10,3,2,1] generating graphics... => 0
[10,3,1,1,1] generating graphics... => 0
[10,2,2,2] generating graphics... => 0
[10,2,2,1,1] generating graphics... => 0
[10,2,1,1,1,1] generating graphics... => 0
[10,1,1,1,1,1,1] generating graphics... => 0
[9,7] generating graphics... => 0
[9,6,1] generating graphics... => 0
[9,5,2] generating graphics... => 0
[9,5,1,1] generating graphics... => 0
[9,4,3] generating graphics... => 0
[9,4,2,1] generating graphics... => 0
[9,4,1,1,1] generating graphics... => 0
[9,3,3,1] generating graphics... => 0
[9,3,2,2] generating graphics... => 0
[9,3,2,1,1] generating graphics... => 0
[9,3,1,1,1,1] generating graphics... => 0
[9,2,2,2,1] generating graphics... => 0
[9,2,2,1,1,1] generating graphics... => 0
[9,2,1,1,1,1,1] generating graphics... => 0
[9,1,1,1,1,1,1,1] generating graphics... => 0
[8,8] generating graphics... => 0
[8,7,1] generating graphics... => 0
[8,6,2] generating graphics... => 0
[8,6,1,1] generating graphics... => 0
[8,5,3] generating graphics... => 0
[8,5,2,1] generating graphics... => 0
[8,5,1,1,1] generating graphics... => 0
[8,4,4] generating graphics... => 0
[8,4,3,1] generating graphics... => 0
[8,4,2,2] generating graphics... => 0
[8,4,2,1,1] generating graphics... => 0
[8,4,1,1,1,1] generating graphics... => 0
[8,3,3,2] generating graphics... => 0
[8,3,3,1,1] generating graphics... => 0
[8,3,2,2,1] generating graphics... => 0
[8,3,2,1,1,1] generating graphics... => 0
[8,3,1,1,1,1,1] generating graphics... => 0
[8,2,2,2,2] generating graphics... => 0
[8,2,2,2,1,1] generating graphics... => 0
[8,2,2,1,1,1,1] generating graphics... => 0
[8,2,1,1,1,1,1,1] generating graphics... => 0
[8,1,1,1,1,1,1,1,1] generating graphics... => 1
[7,7,2] generating graphics... => 0
[7,7,1,1] generating graphics... => 0
[7,6,3] generating graphics... => 0
[7,6,2,1] generating graphics... => 0
[7,6,1,1,1] generating graphics... => 0
[7,5,4] generating graphics... => 0
[7,5,3,1] generating graphics... => 0
[7,5,2,2] generating graphics... => 0
[7,5,2,1,1] generating graphics... => 0
[7,5,1,1,1,1] generating graphics... => 0
[7,4,4,1] generating graphics... => 0
[7,4,3,2] generating graphics... => 0
[7,4,3,1,1] generating graphics... => 0
[7,4,2,2,1] generating graphics... => 0
[7,4,2,1,1,1] generating graphics... => 0
[7,4,1,1,1,1,1] generating graphics... => 0
[7,3,3,3] generating graphics... => 0
[7,3,3,2,1] generating graphics... => 0
[7,3,3,1,1,1] generating graphics... => 0
[7,3,2,2,2] generating graphics... => 0
[7,3,2,2,1,1] generating graphics... => 0
[7,3,2,1,1,1,1] generating graphics... => 0
[7,3,1,1,1,1,1,1] generating graphics... => 0
[7,2,2,2,2,1] generating graphics... => 0
[7,2,2,2,1,1,1] generating graphics... => 0
[7,2,2,1,1,1,1,1] generating graphics... => 0
[7,2,1,1,1,1,1,1,1] generating graphics... => 0
[7,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[6,6,4] generating graphics... => 0
[6,6,3,1] generating graphics... => 0
[6,6,2,2] generating graphics... => 0
[6,6,2,1,1] generating graphics... => 0
[6,6,1,1,1,1] generating graphics... => 0
[6,5,5] generating graphics... => 0
[6,5,4,1] generating graphics... => 0
[6,5,3,2] generating graphics... => 0
[6,5,3,1,1] generating graphics... => 0
[6,5,2,2,1] generating graphics... => 0
[6,5,2,1,1,1] generating graphics... => 0
[6,5,1,1,1,1,1] generating graphics... => 0
[6,4,4,2] generating graphics... => 0
[6,4,4,1,1] generating graphics... => 0
[6,4,3,3] generating graphics... => 0
[6,4,3,2,1] generating graphics... => 0
[6,4,3,1,1,1] generating graphics... => 0
[6,4,2,2,2] generating graphics... => 0
[6,4,2,2,1,1] generating graphics... => 0
[6,4,2,1,1,1,1] generating graphics... => 0
[6,4,1,1,1,1,1,1] generating graphics... => 0
[6,3,3,3,1] generating graphics... => 0
[6,3,3,2,2] generating graphics... => 0
[6,3,3,2,1,1] generating graphics... => 0
[6,3,3,1,1,1,1] generating graphics... => 0
[6,3,2,2,2,1] generating graphics... => 0
[6,3,2,2,1,1,1] generating graphics... => 0
[6,3,2,1,1,1,1,1] generating graphics... => 0
[6,3,1,1,1,1,1,1,1] generating graphics... => 0
[6,2,2,2,2,2] generating graphics... => 0
[6,2,2,2,2,1,1] generating graphics... => 0
[6,2,2,2,1,1,1,1] generating graphics... => 0
[6,2,2,1,1,1,1,1,1] generating graphics... => 0
[6,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[6,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[5,5,5,1] generating graphics... => 0
[5,5,4,2] generating graphics... => 0
[5,5,4,1,1] generating graphics... => 0
[5,5,3,3] generating graphics... => 0
[5,5,3,2,1] generating graphics... => 0
[5,5,3,1,1,1] generating graphics... => 0
[5,5,2,2,2] generating graphics... => 0
[5,5,2,2,1,1] generating graphics... => 0
[5,5,2,1,1,1,1] generating graphics... => 0
[5,5,1,1,1,1,1,1] generating graphics... => 0
[5,4,4,3] generating graphics... => 0
[5,4,4,2,1] generating graphics... => 0
[5,4,4,1,1,1] generating graphics... => 0
[5,4,3,3,1] generating graphics... => 0
[5,4,3,2,2] generating graphics... => 0
[5,4,3,2,1,1] generating graphics... => 0
[5,4,3,1,1,1,1] generating graphics... => 0
[5,4,2,2,2,1] generating graphics... => 0
[5,4,2,2,1,1,1] generating graphics... => 0
[5,4,2,1,1,1,1,1] generating graphics... => 0
[5,4,1,1,1,1,1,1,1] generating graphics... => 0
[5,3,3,3,2] generating graphics... => 0
[5,3,3,3,1,1] generating graphics... => 0
[5,3,3,2,2,1] generating graphics... => 0
[5,3,3,2,1,1,1] generating graphics... => 0
[5,3,3,1,1,1,1,1] generating graphics... => 0
[5,3,2,2,2,2] generating graphics... => 0
[5,3,2,2,2,1,1] generating graphics... => 0
[5,3,2,2,1,1,1,1] generating graphics... => 0
[5,3,2,1,1,1,1,1,1] generating graphics... => 0
[5,3,1,1,1,1,1,1,1,1] generating graphics... => 0
[5,2,2,2,2,2,1] generating graphics... => 0
[5,2,2,2,2,1,1,1] generating graphics... => 0
[5,2,2,2,1,1,1,1,1] generating graphics... => 0
[5,2,2,1,1,1,1,1,1,1] generating graphics... => 0
[5,2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[5,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,4,4,4] generating graphics... => 0
[4,4,4,3,1] generating graphics... => 0
[4,4,4,2,2] generating graphics... => 0
[4,4,4,2,1,1] generating graphics... => 0
[4,4,4,1,1,1,1] generating graphics... => 1
[4,4,3,3,2] generating graphics... => 0
[4,4,3,3,1,1] generating graphics... => 0
[4,4,3,2,2,1] generating graphics... => 0
[4,4,3,2,1,1,1] generating graphics... => 0
[4,4,3,1,1,1,1,1] generating graphics... => 0
[4,4,2,2,2,2] generating graphics... => 0
[4,4,2,2,2,1,1] generating graphics... => 0
[4,4,2,2,1,1,1,1] generating graphics... => 0
[4,4,2,1,1,1,1,1,1] generating graphics... => 0
[4,4,1,1,1,1,1,1,1,1] generating graphics... => 2
[4,3,3,3,3] generating graphics... => 0
[4,3,3,3,2,1] generating graphics... => 0
[4,3,3,3,1,1,1] generating graphics... => 0
[4,3,3,2,2,2] generating graphics... => 0
[4,3,3,2,2,1,1] generating graphics... => 0
[4,3,3,2,1,1,1,1] generating graphics... => 0
[4,3,3,1,1,1,1,1,1] generating graphics... => 0
[4,3,2,2,2,2,1] generating graphics... => 0
[4,3,2,2,2,1,1,1] generating graphics... => 0
[4,3,2,2,1,1,1,1,1] generating graphics... => 0
[4,3,2,1,1,1,1,1,1,1] generating graphics... => 0
[4,3,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,2,2,2,2,2,2] generating graphics... => 0
[4,2,2,2,2,2,1,1] generating graphics... => 0
[4,2,2,2,2,1,1,1,1] generating graphics... => 1
[4,2,2,2,1,1,1,1,1,1] generating graphics... => 0
[4,2,2,1,1,1,1,1,1,1,1] generating graphics... => 5
[4,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[4,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,3,3,3,1] generating graphics... => 0
[3,3,3,3,2,2] generating graphics... => 0
[3,3,3,3,2,1,1] generating graphics... => 0
[3,3,3,3,1,1,1,1] generating graphics... => 0
[3,3,3,2,2,2,1] generating graphics... => 0
[3,3,3,2,2,1,1,1] generating graphics... => 0
[3,3,3,2,1,1,1,1,1] generating graphics... => 0
[3,3,3,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,2,2,2,2,2] generating graphics... => 0
[3,3,2,2,2,2,1,1] generating graphics... => 0
[3,3,2,2,2,1,1,1,1] generating graphics... => 0
[3,3,2,2,1,1,1,1,1,1] generating graphics... => 0
[3,3,2,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,2,2,2,2,2,1] generating graphics... => 0
[3,2,2,2,2,2,1,1,1] generating graphics... => 0
[3,2,2,2,2,1,1,1,1,1] generating graphics... => 0
[3,2,2,2,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,2,2,2,2] generating graphics... => 0
[2,2,2,2,2,2,2,1,1] generating graphics... => 1
[2,2,2,2,2,2,1,1,1,1] generating graphics... => 2
[2,2,2,2,2,1,1,1,1,1,1] generating graphics... => 0
[2,2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 4
[2,2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 5
[17] generating graphics... => 0
[16,1] generating graphics... => 0
[15,2] generating graphics... => 0
[15,1,1] generating graphics... => 0
[14,3] generating graphics... => 0
[14,2,1] generating graphics... => 0
[14,1,1,1] generating graphics... => 0
[13,4] generating graphics... => 0
[13,3,1] generating graphics... => 0
[13,2,2] generating graphics... => 0
[13,2,1,1] generating graphics... => 0
[13,1,1,1,1] generating graphics... => 0
[12,5] generating graphics... => 0
[12,4,1] generating graphics... => 0
[12,3,2] generating graphics... => 0
[12,3,1,1] generating graphics... => 0
[12,2,2,1] generating graphics... => 0
[12,2,1,1,1] generating graphics... => 0
[12,1,1,1,1,1] generating graphics... => 0
[11,6] generating graphics... => 0
[11,5,1] generating graphics... => 0
[11,4,2] generating graphics... => 0
[11,4,1,1] generating graphics... => 0
[11,3,3] generating graphics... => 0
[11,3,2,1] generating graphics... => 0
[11,3,1,1,1] generating graphics... => 0
[11,2,2,2] generating graphics... => 0
[11,2,2,1,1] generating graphics... => 0
[11,2,1,1,1,1] generating graphics... => 0
[11,1,1,1,1,1,1] generating graphics... => 0
[10,7] generating graphics... => 0
[10,6,1] generating graphics... => 0
[10,5,2] generating graphics... => 0
[10,5,1,1] generating graphics... => 0
[10,4,3] generating graphics... => 0
[10,4,2,1] generating graphics... => 0
[10,4,1,1,1] generating graphics... => 0
[10,3,3,1] generating graphics... => 0
[10,3,2,2] generating graphics... => 0
[10,3,2,1,1] generating graphics... => 0
[10,3,1,1,1,1] generating graphics... => 0
[10,2,2,2,1] generating graphics... => 0
[10,2,2,1,1,1] generating graphics... => 0
[10,2,1,1,1,1,1] generating graphics... => 0
[10,1,1,1,1,1,1,1] generating graphics... => 0
[9,8] generating graphics... => 0
[9,7,1] generating graphics... => 0
[9,6,2] generating graphics... => 0
[9,6,1,1] generating graphics... => 0
[9,5,3] generating graphics... => 0
[9,5,2,1] generating graphics... => 0
[9,5,1,1,1] generating graphics... => 0
[9,4,4] generating graphics... => 0
[9,4,3,1] generating graphics... => 0
[9,4,2,2] generating graphics... => 0
[9,4,2,1,1] generating graphics... => 0
[9,4,1,1,1,1] generating graphics... => 0
[9,3,3,2] generating graphics... => 0
[9,3,3,1,1] generating graphics... => 0
[9,3,2,2,1] generating graphics... => 0
[9,3,2,1,1,1] generating graphics... => 0
[9,3,1,1,1,1,1] generating graphics... => 0
[9,2,2,2,2] generating graphics... => 0
[9,2,2,2,1,1] generating graphics... => 0
[9,2,2,1,1,1,1] generating graphics... => 0
[9,2,1,1,1,1,1,1] generating graphics... => 0
[9,1,1,1,1,1,1,1,1] generating graphics... => 0
[8,8,1] generating graphics... => 0
[8,7,2] generating graphics... => 0
[8,7,1,1] generating graphics... => 0
[8,6,3] generating graphics... => 0
[8,6,2,1] generating graphics... => 0
[8,6,1,1,1] generating graphics... => 0
[8,5,4] generating graphics... => 0
[8,5,3,1] generating graphics... => 0
[8,5,2,2] generating graphics... => 0
[8,5,2,1,1] generating graphics... => 0
[8,5,1,1,1,1] generating graphics... => 0
[8,4,4,1] generating graphics... => 0
[8,4,3,2] generating graphics... => 0
[8,4,3,1,1] generating graphics... => 0
[8,4,2,2,1] generating graphics... => 0
[8,4,2,1,1,1] generating graphics... => 0
[8,4,1,1,1,1,1] generating graphics... => 0
[8,3,3,3] generating graphics... => 0
[8,3,3,2,1] generating graphics... => 0
click to show generating function       
Description
The number of finite solvable groups that are realised by the given partition over the complex numbers.
A finite group $G$ is realised by the partition $(a_1,\dots,a_m)$ if its group algebra over the complex numbers is isomorphic to the direct product of $a_i\times a_i$ matrix rings over the complex numbers.
The smallest partition which does not realise a solvable group, but does realise a finite group, is $(5,4,3,3,1)$.
Code
@cached_function
def small_solvable_group_degrees(n):
    return [(G, Partition(sorted([ZZ(e) for e,f in G.CharacterDegrees() for i in range(ZZ(f))], reverse=True)))
            for G in gap.AllSmallGroups(n) if G.IsSolvableGroup().sage()]

def statistic(la):
    n = sum(e^2 for e in la)
    return sum(1 for G, mu in small_solvable_group_degrees(n) if mu == la)

#CodeLanguage: gap

DeclareOperation("partitiontranslate1",[IsList]);

InstallMethod(partitiontranslate1, "for a representation of a quiver", [IsList],0,function(LIST)

local L,T,WW;

L:=LIST[1];
T:=LIST[2];
WW:=Filtered(L,x->(x=T)=true);
return([T,Size(WW)]);

end);


DeclareOperation("partitiontranslate2",[IsList]);

InstallMethod(partitiontranslate2, "for a representation of a quiver", [IsList],0,function(LIST)

local L,WW2,WW3;

L:=LIST[1];
WW2:=[];for i in [1..Sum(L)] do Append(WW2,[partitiontranslate1([L,i])]);od;
WW3:=Filtered(WW2,x->x[2]>0);
return(WW3);

end);

DeclareOperation("partitiongroup",[IsList]);

InstallMethod(partitiongroup, "for a representation of a quiver", [IsList],0,function(LIST)

local L,U,s,GG,W,GG2;

L:=LIST[1];

U:=[];for i in L do Append(U,[i^2]);od;
s:=Sum(U);
GG:=AllSmallGroups(s);
W:=Filtered(GG,x->CharacterDegrees(x)=partitiontranslate2([L]));
return(Size(W));

end);


DeclareOperation("partitiongroupsolvable",[IsList]);

InstallMethod(partitiongroupsolvable, "for a representation of a quiver", [IsList],0,function(LIST)

local L,U,s,GG,W,GG2;

L:=LIST[1];

U:=[];for i in L do Append(U,[i^2]);od;
s:=Sum(U);
GG:=AllSmallGroups(s);
GG2:=Filtered(GG,x->IsSolvableGroup(x)=true);
W:=Filtered(GG2,x->CharacterDegrees(x)=partitiontranslate2([L]));
return(Size(W));

end);
Created
Nov 04, 2018 at 00:57 by Rene Marczinzik
Updated
Nov 04, 2018 at 20:33 by Martin Rubey