Identifier
Identifier
Values
[1] generating graphics... => 0
[2] generating graphics... => 0
[1,1] generating graphics... => 2
[3] generating graphics... => 0
[2,1] generating graphics... => 3
[1,1,1] generating graphics... => 6
[4] generating graphics... => 0
[3,1] generating graphics... => 4
[2,2] generating graphics... => 6
[2,1,1] generating graphics... => 8
[1,1,1,1] generating graphics... => 12
[5] generating graphics... => 0
[4,1] generating graphics... => 5
[3,2] generating graphics... => 8
[3,1,1] generating graphics... => 10
[2,2,1] generating graphics... => 12
[2,1,1,1] generating graphics... => 15
[1,1,1,1,1] generating graphics... => 20
[6] generating graphics... => 0
[5,1] generating graphics... => 6
[4,2] generating graphics... => 10
[4,1,1] generating graphics... => 12
[3,3] generating graphics... => 12
[3,2,1] generating graphics... => 15
[3,1,1,1] generating graphics... => 18
[2,2,2] generating graphics... => 18
[2,2,1,1] generating graphics... => 20
[2,1,1,1,1] generating graphics... => 24
[1,1,1,1,1,1] generating graphics... => 30
[7] generating graphics... => 0
[6,1] generating graphics... => 7
[5,2] generating graphics... => 12
[5,1,1] generating graphics... => 14
[4,3] generating graphics... => 15
[4,2,1] generating graphics... => 18
[4,1,1,1] generating graphics... => 21
[3,3,1] generating graphics... => 20
[3,2,2] generating graphics... => 22
[3,2,1,1] generating graphics... => 24
[3,1,1,1,1] generating graphics... => 28
[2,2,2,1] generating graphics... => 27
[2,2,1,1,1] generating graphics... => 30
[2,1,1,1,1,1] generating graphics... => 35
[1,1,1,1,1,1,1] generating graphics... => 42
[8] generating graphics... => 0
[7,1] generating graphics... => 8
[6,2] generating graphics... => 14
[6,1,1] generating graphics... => 16
[5,3] generating graphics... => 18
[5,2,1] generating graphics... => 21
[5,1,1,1] generating graphics... => 24
[4,4] generating graphics... => 20
[4,3,1] generating graphics... => 24
[4,2,2] generating graphics... => 26
[4,2,1,1] generating graphics... => 28
[4,1,1,1,1] generating graphics... => 32
[3,3,2] generating graphics... => 28
[3,3,1,1] generating graphics... => 30
[3,2,2,1] generating graphics... => 32
[3,2,1,1,1] generating graphics... => 35
[3,1,1,1,1,1] generating graphics... => 40
[2,2,2,2] generating graphics... => 36
[2,2,2,1,1] generating graphics... => 38
[2,2,1,1,1,1] generating graphics... => 42
[2,1,1,1,1,1,1] generating graphics... => 48
[1,1,1,1,1,1,1,1] generating graphics... => 56
[9] generating graphics... => 0
[8,1] generating graphics... => 9
[7,2] generating graphics... => 16
[7,1,1] generating graphics... => 18
[6,3] generating graphics... => 21
[6,2,1] generating graphics... => 24
[6,1,1,1] generating graphics... => 27
[5,4] generating graphics... => 24
[5,3,1] generating graphics... => 28
[5,2,2] generating graphics... => 30
[5,2,1,1] generating graphics... => 32
[5,1,1,1,1] generating graphics... => 36
[4,4,1] generating graphics... => 30
[4,3,2] generating graphics... => 33
[4,3,1,1] generating graphics... => 35
[4,2,2,1] generating graphics... => 37
[4,2,1,1,1] generating graphics... => 40
[4,1,1,1,1,1] generating graphics... => 45
[3,3,3] generating graphics... => 36
[3,3,2,1] generating graphics... => 39
[3,3,1,1,1] generating graphics... => 42
[3,2,2,2] generating graphics... => 42
[3,2,2,1,1] generating graphics... => 44
[3,2,1,1,1,1] generating graphics... => 48
[3,1,1,1,1,1,1] generating graphics... => 54
[2,2,2,2,1] generating graphics... => 48
[2,2,2,1,1,1] generating graphics... => 51
[2,2,1,1,1,1,1] generating graphics... => 56
[2,1,1,1,1,1,1,1] generating graphics... => 63
[1,1,1,1,1,1,1,1,1] generating graphics... => 72
[10] generating graphics... => 0
[9,1] generating graphics... => 10
[8,2] generating graphics... => 18
[8,1,1] generating graphics... => 20
[7,3] generating graphics... => 24
[7,2,1] generating graphics... => 27
[7,1,1,1] generating graphics... => 30
[6,4] generating graphics... => 28
[6,3,1] generating graphics... => 32
[6,2,2] generating graphics... => 34
[6,2,1,1] generating graphics... => 36
[6,1,1,1,1] generating graphics... => 40
[5,5] generating graphics... => 30
[5,4,1] generating graphics... => 35
[5,3,2] generating graphics... => 38
[5,3,1,1] generating graphics... => 40
[5,2,2,1] generating graphics... => 42
[5,2,1,1,1] generating graphics... => 45
[5,1,1,1,1,1] generating graphics... => 50
[4,4,2] generating graphics... => 40
[4,4,1,1] generating graphics... => 42
[4,3,3] generating graphics... => 42
[4,3,2,1] generating graphics... => 45
[4,3,1,1,1] generating graphics... => 48
[4,2,2,2] generating graphics... => 48
[4,2,2,1,1] generating graphics... => 50
[4,2,1,1,1,1] generating graphics... => 54
[4,1,1,1,1,1,1] generating graphics... => 60
[3,3,3,1] generating graphics... => 48
[3,3,2,2] generating graphics... => 50
[3,3,2,1,1] generating graphics... => 52
[3,3,1,1,1,1] generating graphics... => 56
[3,2,2,2,1] generating graphics... => 55
[3,2,2,1,1,1] generating graphics... => 58
[3,2,1,1,1,1,1] generating graphics... => 63
[3,1,1,1,1,1,1,1] generating graphics... => 70
[2,2,2,2,2] generating graphics... => 60
[2,2,2,2,1,1] generating graphics... => 62
[2,2,2,1,1,1,1] generating graphics... => 66
[2,2,1,1,1,1,1,1] generating graphics... => 72
[2,1,1,1,1,1,1,1,1] generating graphics... => 80
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 90
[11] generating graphics... => 0
[10,1] generating graphics... => 11
[9,2] generating graphics... => 20
[9,1,1] generating graphics... => 22
[8,3] generating graphics... => 27
[8,2,1] generating graphics... => 30
[8,1,1,1] generating graphics... => 33
[7,4] generating graphics... => 32
[7,3,1] generating graphics... => 36
[7,2,2] generating graphics... => 38
[7,2,1,1] generating graphics... => 40
[7,1,1,1,1] generating graphics... => 44
[6,5] generating graphics... => 35
[6,4,1] generating graphics... => 40
[6,3,2] generating graphics... => 43
[6,3,1,1] generating graphics... => 45
[6,2,2,1] generating graphics... => 47
[6,2,1,1,1] generating graphics... => 50
[6,1,1,1,1,1] generating graphics... => 55
[5,5,1] generating graphics... => 42
[5,4,2] generating graphics... => 46
[5,4,1,1] generating graphics... => 48
[5,3,3] generating graphics... => 48
[5,3,2,1] generating graphics... => 51
[5,3,1,1,1] generating graphics... => 54
[5,2,2,2] generating graphics... => 54
[5,2,2,1,1] generating graphics... => 56
[5,2,1,1,1,1] generating graphics... => 60
[5,1,1,1,1,1,1] generating graphics... => 66
[4,4,3] generating graphics... => 50
[4,4,2,1] generating graphics... => 53
[4,4,1,1,1] generating graphics... => 56
[4,3,3,1] generating graphics... => 55
[4,3,2,2] generating graphics... => 57
[4,3,2,1,1] generating graphics... => 59
[4,3,1,1,1,1] generating graphics... => 63
[4,2,2,2,1] generating graphics... => 62
[4,2,2,1,1,1] generating graphics... => 65
[4,2,1,1,1,1,1] generating graphics... => 70
[4,1,1,1,1,1,1,1] generating graphics... => 77
[3,3,3,2] generating graphics... => 60
[3,3,3,1,1] generating graphics... => 62
[3,3,2,2,1] generating graphics... => 64
[3,3,2,1,1,1] generating graphics... => 67
[3,3,1,1,1,1,1] generating graphics... => 72
[3,2,2,2,2] generating graphics... => 68
[3,2,2,2,1,1] generating graphics... => 70
[3,2,2,1,1,1,1] generating graphics... => 74
[3,2,1,1,1,1,1,1] generating graphics... => 80
[3,1,1,1,1,1,1,1,1] generating graphics... => 88
[2,2,2,2,2,1] generating graphics... => 75
[2,2,2,2,1,1,1] generating graphics... => 78
[2,2,2,1,1,1,1,1] generating graphics... => 83
[2,2,1,1,1,1,1,1,1] generating graphics... => 90
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 99
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 110
[12] generating graphics... => 0
[11,1] generating graphics... => 12
[10,2] generating graphics... => 22
[10,1,1] generating graphics... => 24
[9,3] generating graphics... => 30
[9,2,1] generating graphics... => 33
[9,1,1,1] generating graphics... => 36
[8,4] generating graphics... => 36
[8,3,1] generating graphics... => 40
[8,2,2] generating graphics... => 42
[8,2,1,1] generating graphics... => 44
[8,1,1,1,1] generating graphics... => 48
[7,5] generating graphics... => 40
[7,4,1] generating graphics... => 45
[7,3,2] generating graphics... => 48
[7,3,1,1] generating graphics... => 50
[7,2,2,1] generating graphics... => 52
[7,2,1,1,1] generating graphics... => 55
[7,1,1,1,1,1] generating graphics... => 60
[6,6] generating graphics... => 42
[6,5,1] generating graphics... => 48
[6,4,2] generating graphics... => 52
[6,4,1,1] generating graphics... => 54
[6,3,3] generating graphics... => 54
[6,3,2,1] generating graphics... => 57
[6,3,1,1,1] generating graphics... => 60
[6,2,2,2] generating graphics... => 60
[6,2,2,1,1] generating graphics... => 62
[6,2,1,1,1,1] generating graphics... => 66
[6,1,1,1,1,1,1] generating graphics... => 72
[5,5,2] generating graphics... => 54
[5,5,1,1] generating graphics... => 56
[5,4,3] generating graphics... => 57
[5,4,2,1] generating graphics... => 60
[5,4,1,1,1] generating graphics... => 63
[5,3,3,1] generating graphics... => 62
[5,3,2,2] generating graphics... => 64
[5,3,2,1,1] generating graphics... => 66
[5,3,1,1,1,1] generating graphics... => 70
[5,2,2,2,1] generating graphics... => 69
[5,2,2,1,1,1] generating graphics... => 72
[5,2,1,1,1,1,1] generating graphics... => 77
[5,1,1,1,1,1,1,1] generating graphics... => 84
[4,4,4] generating graphics... => 60
[4,4,3,1] generating graphics... => 64
[4,4,2,2] generating graphics... => 66
[4,4,2,1,1] generating graphics... => 68
[4,4,1,1,1,1] generating graphics... => 72
[4,3,3,2] generating graphics... => 68
[4,3,3,1,1] generating graphics... => 70
[4,3,2,2,1] generating graphics... => 72
[4,3,2,1,1,1] generating graphics... => 75
[4,3,1,1,1,1,1] generating graphics... => 80
[4,2,2,2,2] generating graphics... => 76
[4,2,2,2,1,1] generating graphics... => 78
[4,2,2,1,1,1,1] generating graphics... => 82
[4,2,1,1,1,1,1,1] generating graphics... => 88
[4,1,1,1,1,1,1,1,1] generating graphics... => 96
[3,3,3,3] generating graphics... => 72
[3,3,3,2,1] generating graphics... => 75
[3,3,3,1,1,1] generating graphics... => 78
[3,3,2,2,2] generating graphics... => 78
[3,3,2,2,1,1] generating graphics... => 80
[3,3,2,1,1,1,1] generating graphics... => 84
[3,3,1,1,1,1,1,1] generating graphics... => 90
[3,2,2,2,2,1] generating graphics... => 84
[3,2,2,2,1,1,1] generating graphics... => 87
[3,2,2,1,1,1,1,1] generating graphics... => 92
[3,2,1,1,1,1,1,1,1] generating graphics... => 99
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 108
[2,2,2,2,2,2] generating graphics... => 90
[2,2,2,2,2,1,1] generating graphics... => 92
[2,2,2,2,1,1,1,1] generating graphics... => 96
[2,2,2,1,1,1,1,1,1] generating graphics... => 102
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 110
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 120
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 132
[13] generating graphics... => 0
[12,1] generating graphics... => 13
[11,2] generating graphics... => 24
[11,1,1] generating graphics... => 26
[10,3] generating graphics... => 33
[10,2,1] generating graphics... => 36
[10,1,1,1] generating graphics... => 39
[9,4] generating graphics... => 40
[9,3,1] generating graphics... => 44
[9,2,2] generating graphics... => 46
[9,2,1,1] generating graphics... => 48
[9,1,1,1,1] generating graphics... => 52
[8,5] generating graphics... => 45
[8,4,1] generating graphics... => 50
[8,3,2] generating graphics... => 53
[8,3,1,1] generating graphics... => 55
[8,2,2,1] generating graphics... => 57
[8,2,1,1,1] generating graphics... => 60
[8,1,1,1,1,1] generating graphics... => 65
[7,6] generating graphics... => 48
[7,5,1] generating graphics... => 54
[7,4,2] generating graphics... => 58
[7,4,1,1] generating graphics... => 60
[7,3,3] generating graphics... => 60
[7,3,2,1] generating graphics... => 63
[7,3,1,1,1] generating graphics... => 66
[7,2,2,2] generating graphics... => 66
[7,2,2,1,1] generating graphics... => 68
[7,2,1,1,1,1] generating graphics... => 72
[7,1,1,1,1,1,1] generating graphics... => 78
[6,6,1] generating graphics... => 56
[6,5,2] generating graphics... => 61
[6,5,1,1] generating graphics... => 63
[6,4,3] generating graphics... => 64
[6,4,2,1] generating graphics... => 67
[6,4,1,1,1] generating graphics... => 70
[6,3,3,1] generating graphics... => 69
[6,3,2,2] generating graphics... => 71
[6,3,2,1,1] generating graphics... => 73
[6,3,1,1,1,1] generating graphics... => 77
[6,2,2,2,1] generating graphics... => 76
[6,2,2,1,1,1] generating graphics... => 79
[6,2,1,1,1,1,1] generating graphics... => 84
[6,1,1,1,1,1,1,1] generating graphics... => 91
[5,5,3] generating graphics... => 66
[5,5,2,1] generating graphics... => 69
[5,5,1,1,1] generating graphics... => 72
[5,4,4] generating graphics... => 68
[5,4,3,1] generating graphics... => 72
[5,4,2,2] generating graphics... => 74
[5,4,2,1,1] generating graphics... => 76
[5,4,1,1,1,1] generating graphics... => 80
[5,3,3,2] generating graphics... => 76
[5,3,3,1,1] generating graphics... => 78
[5,3,2,2,1] generating graphics... => 80
[5,3,2,1,1,1] generating graphics... => 83
[5,3,1,1,1,1,1] generating graphics... => 88
[5,2,2,2,2] generating graphics... => 84
[5,2,2,2,1,1] generating graphics... => 86
[5,2,2,1,1,1,1] generating graphics... => 90
[5,2,1,1,1,1,1,1] generating graphics... => 96
[5,1,1,1,1,1,1,1,1] generating graphics... => 104
[4,4,4,1] generating graphics... => 75
[4,4,3,2] generating graphics... => 78
[4,4,3,1,1] generating graphics... => 80
[4,4,2,2,1] generating graphics... => 82
[4,4,2,1,1,1] generating graphics... => 85
[4,4,1,1,1,1,1] generating graphics... => 90
[4,3,3,3] generating graphics... => 81
[4,3,3,2,1] generating graphics... => 84
[4,3,3,1,1,1] generating graphics... => 87
[4,3,2,2,2] generating graphics... => 87
[4,3,2,2,1,1] generating graphics... => 89
[4,3,2,1,1,1,1] generating graphics... => 93
[4,3,1,1,1,1,1,1] generating graphics... => 99
[4,2,2,2,2,1] generating graphics... => 93
[4,2,2,2,1,1,1] generating graphics... => 96
[4,2,2,1,1,1,1,1] generating graphics... => 101
[4,2,1,1,1,1,1,1,1] generating graphics... => 108
[4,1,1,1,1,1,1,1,1,1] generating graphics... => 117
[3,3,3,3,1] generating graphics... => 88
[3,3,3,2,2] generating graphics... => 90
[3,3,3,2,1,1] generating graphics... => 92
[3,3,3,1,1,1,1] generating graphics... => 96
[3,3,2,2,2,1] generating graphics... => 95
[3,3,2,2,1,1,1] generating graphics... => 98
[3,3,2,1,1,1,1,1] generating graphics... => 103
[3,3,1,1,1,1,1,1,1] generating graphics... => 110
[3,2,2,2,2,2] generating graphics... => 100
[3,2,2,2,2,1,1] generating graphics... => 102
[3,2,2,2,1,1,1,1] generating graphics... => 106
[3,2,2,1,1,1,1,1,1] generating graphics... => 112
[3,2,1,1,1,1,1,1,1,1] generating graphics... => 120
[3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 130
[2,2,2,2,2,2,1] generating graphics... => 108
[2,2,2,2,2,1,1,1] generating graphics... => 111
[2,2,2,2,1,1,1,1,1] generating graphics... => 116
[2,2,2,1,1,1,1,1,1,1] generating graphics... => 123
[2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 132
[2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 143
[1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 156
[14] generating graphics... => 0
[13,1] generating graphics... => 14
[12,2] generating graphics... => 26
[12,1,1] generating graphics... => 28
[11,3] generating graphics... => 36
[11,2,1] generating graphics... => 39
[11,1,1,1] generating graphics... => 42
[10,4] generating graphics... => 44
[10,3,1] generating graphics... => 48
[10,2,2] generating graphics... => 50
[10,2,1,1] generating graphics... => 52
[10,1,1,1,1] generating graphics... => 56
[9,5] generating graphics... => 50
[9,4,1] generating graphics... => 55
[9,3,2] generating graphics... => 58
[9,3,1,1] generating graphics... => 60
[9,2,2,1] generating graphics... => 62
[9,2,1,1,1] generating graphics... => 65
[9,1,1,1,1,1] generating graphics... => 70
[8,6] generating graphics... => 54
[8,5,1] generating graphics... => 60
[8,4,2] generating graphics... => 64
[8,4,1,1] generating graphics... => 66
[8,3,3] generating graphics... => 66
[8,3,2,1] generating graphics... => 69
[8,3,1,1,1] generating graphics... => 72
[8,2,2,2] generating graphics... => 72
[8,2,2,1,1] generating graphics... => 74
[8,2,1,1,1,1] generating graphics... => 78
[8,1,1,1,1,1,1] generating graphics... => 84
[7,7] generating graphics... => 56
[7,6,1] generating graphics... => 63
[7,5,2] generating graphics... => 68
[7,5,1,1] generating graphics... => 70
[7,4,3] generating graphics... => 71
[7,4,2,1] generating graphics... => 74
[7,4,1,1,1] generating graphics... => 77
[7,3,3,1] generating graphics... => 76
[7,3,2,2] generating graphics... => 78
[7,3,2,1,1] generating graphics... => 80
[7,3,1,1,1,1] generating graphics... => 84
[7,2,2,2,1] generating graphics... => 83
[7,2,2,1,1,1] generating graphics... => 86
[7,2,1,1,1,1,1] generating graphics... => 91
[7,1,1,1,1,1,1,1] generating graphics... => 98
[6,6,2] generating graphics... => 70
[6,6,1,1] generating graphics... => 72
[6,5,3] generating graphics... => 74
[6,5,2,1] generating graphics... => 77
[6,5,1,1,1] generating graphics... => 80
[6,4,4] generating graphics... => 76
[6,4,3,1] generating graphics... => 80
[6,4,2,2] generating graphics... => 82
[6,4,2,1,1] generating graphics... => 84
[6,4,1,1,1,1] generating graphics... => 88
[6,3,3,2] generating graphics... => 84
[6,3,3,1,1] generating graphics... => 86
[6,3,2,2,1] generating graphics... => 88
[6,3,2,1,1,1] generating graphics... => 91
[6,3,1,1,1,1,1] generating graphics... => 96
[6,2,2,2,2] generating graphics... => 92
[6,2,2,2,1,1] generating graphics... => 94
[6,2,2,1,1,1,1] generating graphics... => 98
[6,2,1,1,1,1,1,1] generating graphics... => 104
[6,1,1,1,1,1,1,1,1] generating graphics... => 112
[5,5,4] generating graphics... => 78
[5,5,3,1] generating graphics... => 82
[5,5,2,2] generating graphics... => 84
[5,5,2,1,1] generating graphics... => 86
[5,5,1,1,1,1] generating graphics... => 90
[5,4,4,1] generating graphics... => 84
[5,4,3,2] generating graphics... => 87
[5,4,3,1,1] generating graphics... => 89
[5,4,2,2,1] generating graphics... => 91
[5,4,2,1,1,1] generating graphics... => 94
[5,4,1,1,1,1,1] generating graphics... => 99
[5,3,3,3] generating graphics... => 90
[5,3,3,2,1] generating graphics... => 93
[5,3,3,1,1,1] generating graphics... => 96
[5,3,2,2,2] generating graphics... => 96
[5,3,2,2,1,1] generating graphics... => 98
[5,3,2,1,1,1,1] generating graphics... => 102
[5,3,1,1,1,1,1,1] generating graphics... => 108
[5,2,2,2,2,1] generating graphics... => 102
[5,2,2,2,1,1,1] generating graphics... => 105
[5,2,2,1,1,1,1,1] generating graphics... => 110
[5,2,1,1,1,1,1,1,1] generating graphics... => 117
[5,1,1,1,1,1,1,1,1,1] generating graphics... => 126
[4,4,4,2] generating graphics... => 90
[4,4,4,1,1] generating graphics... => 92
[4,4,3,3] generating graphics... => 92
[4,4,3,2,1] generating graphics... => 95
[4,4,3,1,1,1] generating graphics... => 98
[4,4,2,2,2] generating graphics... => 98
[4,4,2,2,1,1] generating graphics... => 100
[4,4,2,1,1,1,1] generating graphics... => 104
[4,4,1,1,1,1,1,1] generating graphics... => 110
[4,3,3,3,1] generating graphics... => 98
[4,3,3,2,2] generating graphics... => 100
[4,3,3,2,1,1] generating graphics... => 102
[4,3,3,1,1,1,1] generating graphics... => 106
[4,3,2,2,2,1] generating graphics... => 105
[4,3,2,2,1,1,1] generating graphics... => 108
[4,3,2,1,1,1,1,1] generating graphics... => 113
[4,3,1,1,1,1,1,1,1] generating graphics... => 120
[4,2,2,2,2,2] generating graphics... => 110
[4,2,2,2,2,1,1] generating graphics... => 112
[4,2,2,2,1,1,1,1] generating graphics... => 116
[4,2,2,1,1,1,1,1,1] generating graphics... => 122
[4,2,1,1,1,1,1,1,1,1] generating graphics... => 130
[4,1,1,1,1,1,1,1,1,1,1] generating graphics... => 140
[3,3,3,3,2] generating graphics... => 104
[3,3,3,3,1,1] generating graphics... => 106
[3,3,3,2,2,1] generating graphics... => 108
[3,3,3,2,1,1,1] generating graphics... => 111
[3,3,3,1,1,1,1,1] generating graphics... => 116
[3,3,2,2,2,2] generating graphics... => 112
[3,3,2,2,2,1,1] generating graphics... => 114
[3,3,2,2,1,1,1,1] generating graphics... => 118
[3,3,2,1,1,1,1,1,1] generating graphics... => 124
[3,3,1,1,1,1,1,1,1,1] generating graphics... => 132
[3,2,2,2,2,2,1] generating graphics... => 119
[3,2,2,2,2,1,1,1] generating graphics... => 122
[3,2,2,2,1,1,1,1,1] generating graphics... => 127
[3,2,2,1,1,1,1,1,1,1] generating graphics... => 134
[3,2,1,1,1,1,1,1,1,1,1] generating graphics... => 143
[3,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 154
[2,2,2,2,2,2,2] generating graphics... => 126
[2,2,2,2,2,2,1,1] generating graphics... => 128
[2,2,2,2,2,1,1,1,1] generating graphics... => 132
[2,2,2,2,1,1,1,1,1,1] generating graphics... => 138
[2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 146
[2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 156
[2,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 168
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 182
[15] generating graphics... => 0
[14,1] generating graphics... => 15
[13,2] generating graphics... => 28
[13,1,1] generating graphics... => 30
[12,3] generating graphics... => 39
[12,2,1] generating graphics... => 42
[12,1,1,1] generating graphics... => 45
[11,4] generating graphics... => 48
[11,3,1] generating graphics... => 52
[11,2,2] generating graphics... => 54
[11,2,1,1] generating graphics... => 56
[11,1,1,1,1] generating graphics... => 60
[10,5] generating graphics... => 55
[10,4,1] generating graphics... => 60
[10,3,2] generating graphics... => 63
[10,3,1,1] generating graphics... => 65
[10,2,2,1] generating graphics... => 67
[10,2,1,1,1] generating graphics... => 70
[10,1,1,1,1,1] generating graphics... => 75
[9,6] generating graphics... => 60
[9,5,1] generating graphics... => 66
[9,4,2] generating graphics... => 70
[9,4,1,1] generating graphics... => 72
[9,3,3] generating graphics... => 72
[9,3,2,1] generating graphics... => 75
[9,3,1,1,1] generating graphics... => 78
[9,2,2,2] generating graphics... => 78
[9,2,2,1,1] generating graphics... => 80
[9,2,1,1,1,1] generating graphics... => 84
[9,1,1,1,1,1,1] generating graphics... => 90
[8,7] generating graphics... => 63
[8,6,1] generating graphics... => 70
[8,5,2] generating graphics... => 75
[8,5,1,1] generating graphics... => 77
[8,4,3] generating graphics... => 78
[8,4,2,1] generating graphics... => 81
[8,4,1,1,1] generating graphics... => 84
[8,3,3,1] generating graphics... => 83
[8,3,2,2] generating graphics... => 85
[8,3,2,1,1] generating graphics... => 87
[8,3,1,1,1,1] generating graphics... => 91
[8,2,2,2,1] generating graphics... => 90
[8,2,2,1,1,1] generating graphics... => 93
[8,2,1,1,1,1,1] generating graphics... => 98
[8,1,1,1,1,1,1,1] generating graphics... => 105
[7,7,1] generating graphics... => 72
[7,6,2] generating graphics... => 78
[7,6,1,1] generating graphics... => 80
[7,5,3] generating graphics... => 82
[7,5,2,1] generating graphics... => 85
[7,5,1,1,1] generating graphics... => 88
[7,4,4] generating graphics... => 84
[7,4,3,1] generating graphics... => 88
[7,4,2,2] generating graphics... => 90
[7,4,2,1,1] generating graphics... => 92
[7,4,1,1,1,1] generating graphics... => 96
[7,3,3,2] generating graphics... => 92
[7,3,3,1,1] generating graphics... => 94
[7,3,2,2,1] generating graphics... => 96
[7,3,2,1,1,1] generating graphics... => 99
[7,3,1,1,1,1,1] generating graphics... => 104
[7,2,2,2,2] generating graphics... => 100
[7,2,2,2,1,1] generating graphics... => 102
[7,2,2,1,1,1,1] generating graphics... => 106
[7,2,1,1,1,1,1,1] generating graphics... => 112
[7,1,1,1,1,1,1,1,1] generating graphics... => 120
[6,6,3] generating graphics... => 84
[6,6,2,1] generating graphics... => 87
[6,6,1,1,1] generating graphics... => 90
[6,5,4] generating graphics... => 87
[6,5,3,1] generating graphics... => 91
[6,5,2,2] generating graphics... => 93
[6,5,2,1,1] generating graphics... => 95
[6,5,1,1,1,1] generating graphics... => 99
[6,4,4,1] generating graphics... => 93
[6,4,3,2] generating graphics... => 96
[6,4,3,1,1] generating graphics... => 98
[6,4,2,2,1] generating graphics... => 100
[6,4,2,1,1,1] generating graphics... => 103
[6,4,1,1,1,1,1] generating graphics... => 108
[6,3,3,3] generating graphics... => 99
[6,3,3,2,1] generating graphics... => 102
[6,3,3,1,1,1] generating graphics... => 105
[6,3,2,2,2] generating graphics... => 105
[6,3,2,2,1,1] generating graphics... => 107
[6,3,2,1,1,1,1] generating graphics... => 111
[6,3,1,1,1,1,1,1] generating graphics... => 117
[6,2,2,2,2,1] generating graphics... => 111
[6,2,2,2,1,1,1] generating graphics... => 114
[6,2,2,1,1,1,1,1] generating graphics... => 119
[6,2,1,1,1,1,1,1,1] generating graphics... => 126
[6,1,1,1,1,1,1,1,1,1] generating graphics... => 135
[5,5,5] generating graphics... => 90
[5,5,4,1] generating graphics... => 95
[5,5,3,2] generating graphics... => 98
[5,5,3,1,1] generating graphics... => 100
[5,5,2,2,1] generating graphics... => 102
[5,5,2,1,1,1] generating graphics... => 105
[5,5,1,1,1,1,1] generating graphics... => 110
[5,4,4,2] generating graphics... => 100
[5,4,4,1,1] generating graphics... => 102
[5,4,3,3] generating graphics... => 102
[5,4,3,2,1] generating graphics... => 105
[5,4,3,1,1,1] generating graphics... => 108
[5,4,2,2,2] generating graphics... => 108
[5,4,2,2,1,1] generating graphics... => 110
[5,4,2,1,1,1,1] generating graphics... => 114
[5,4,1,1,1,1,1,1] generating graphics... => 120
[5,3,3,3,1] generating graphics... => 108
[5,3,3,2,2] generating graphics... => 110
[5,3,3,2,1,1] generating graphics... => 112
[5,3,3,1,1,1,1] generating graphics... => 116
[5,3,2,2,2,1] generating graphics... => 115
[5,3,2,2,1,1,1] generating graphics... => 118
[5,3,2,1,1,1,1,1] generating graphics... => 123
[5,3,1,1,1,1,1,1,1] generating graphics... => 130
[5,2,2,2,2,2] generating graphics... => 120
[5,2,2,2,2,1,1] generating graphics... => 122
[5,2,2,2,1,1,1,1] generating graphics... => 126
[5,2,2,1,1,1,1,1,1] generating graphics... => 132
[5,2,1,1,1,1,1,1,1,1] generating graphics... => 140
[5,1,1,1,1,1,1,1,1,1,1] generating graphics... => 150
[4,4,4,3] generating graphics... => 105
[4,4,4,2,1] generating graphics... => 108
[4,4,4,1,1,1] generating graphics... => 111
[4,4,3,3,1] generating graphics... => 110
[4,4,3,2,2] generating graphics... => 112
[4,4,3,2,1,1] generating graphics... => 114
[4,4,3,1,1,1,1] generating graphics... => 118
[4,4,2,2,2,1] generating graphics... => 117
[4,4,2,2,1,1,1] generating graphics... => 120
[4,4,2,1,1,1,1,1] generating graphics... => 125
[4,4,1,1,1,1,1,1,1] generating graphics... => 132
[4,3,3,3,2] generating graphics... => 115
[4,3,3,3,1,1] generating graphics... => 117
[4,3,3,2,2,1] generating graphics... => 119
[4,3,3,2,1,1,1] generating graphics... => 122
[4,3,3,1,1,1,1,1] generating graphics... => 127
[4,3,2,2,2,2] generating graphics... => 123
[4,3,2,2,2,1,1] generating graphics... => 125
[4,3,2,2,1,1,1,1] generating graphics... => 129
[4,3,2,1,1,1,1,1,1] generating graphics... => 135
[4,3,1,1,1,1,1,1,1,1] generating graphics... => 143
[4,2,2,2,2,2,1] generating graphics... => 130
[4,2,2,2,2,1,1,1] generating graphics... => 133
[4,2,2,2,1,1,1,1,1] generating graphics... => 138
[4,2,2,1,1,1,1,1,1,1] generating graphics... => 145
[4,2,1,1,1,1,1,1,1,1,1] generating graphics... => 154
[4,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 165
[3,3,3,3,3] generating graphics... => 120
[3,3,3,3,2,1] generating graphics... => 123
[3,3,3,3,1,1,1] generating graphics... => 126
[3,3,3,2,2,2] generating graphics... => 126
[3,3,3,2,2,1,1] generating graphics... => 128
[3,3,3,2,1,1,1,1] generating graphics... => 132
[3,3,3,1,1,1,1,1,1] generating graphics... => 138
[3,3,2,2,2,2,1] generating graphics... => 132
[3,3,2,2,2,1,1,1] generating graphics... => 135
[3,3,2,2,1,1,1,1,1] generating graphics... => 140
[3,3,2,1,1,1,1,1,1,1] generating graphics... => 147
[3,3,1,1,1,1,1,1,1,1,1] generating graphics... => 156
[3,2,2,2,2,2,2] generating graphics... => 138
[3,2,2,2,2,2,1,1] generating graphics... => 140
[3,2,2,2,2,1,1,1,1] generating graphics... => 144
[3,2,2,2,1,1,1,1,1,1] generating graphics... => 150
[3,2,2,1,1,1,1,1,1,1,1] generating graphics... => 158
[3,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 168
[3,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 180
[2,2,2,2,2,2,2,1] generating graphics... => 147
[2,2,2,2,2,2,1,1,1] generating graphics... => 150
[2,2,2,2,2,1,1,1,1,1] generating graphics... => 155
[2,2,2,2,1,1,1,1,1,1,1] generating graphics... => 162
[2,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 171
[2,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 182
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 195
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 210
[16] generating graphics... => 0
[15,1] generating graphics... => 16
[14,2] generating graphics... => 30
[14,1,1] generating graphics... => 32
[13,3] generating graphics... => 42
[13,2,1] generating graphics... => 45
[13,1,1,1] generating graphics... => 48
[12,4] generating graphics... => 52
[12,3,1] generating graphics... => 56
[12,2,2] generating graphics... => 58
[12,2,1,1] generating graphics... => 60
[12,1,1,1,1] generating graphics... => 64
[11,5] generating graphics... => 60
[11,4,1] generating graphics... => 65
[11,3,2] generating graphics... => 68
[11,3,1,1] generating graphics... => 70
[11,2,2,1] generating graphics... => 72
[11,2,1,1,1] generating graphics... => 75
[11,1,1,1,1,1] generating graphics... => 80
[10,6] generating graphics... => 66
[10,5,1] generating graphics... => 72
[10,4,2] generating graphics... => 76
[10,4,1,1] generating graphics... => 78
[10,3,3] generating graphics... => 78
[10,3,2,1] generating graphics... => 81
[10,3,1,1,1] generating graphics... => 84
[10,2,2,2] generating graphics... => 84
[10,2,2,1,1] generating graphics... => 86
[10,2,1,1,1,1] generating graphics... => 90
[10,1,1,1,1,1,1] generating graphics... => 96
[9,7] generating graphics... => 70
[9,6,1] generating graphics... => 77
[9,5,2] generating graphics... => 82
[9,5,1,1] generating graphics... => 84
[9,4,3] generating graphics... => 85
[9,4,2,1] generating graphics... => 88
[9,4,1,1,1] generating graphics... => 91
[9,3,3,1] generating graphics... => 90
[9,3,2,2] generating graphics... => 92
[9,3,2,1,1] generating graphics... => 94
[9,3,1,1,1,1] generating graphics... => 98
[9,2,2,2,1] generating graphics... => 97
[9,2,2,1,1,1] generating graphics... => 100
[9,2,1,1,1,1,1] generating graphics... => 105
[9,1,1,1,1,1,1,1] generating graphics... => 112
[8,8] generating graphics... => 72
[8,7,1] generating graphics... => 80
[8,6,2] generating graphics... => 86
[8,6,1,1] generating graphics... => 88
[8,5,3] generating graphics... => 90
[8,5,2,1] generating graphics... => 93
[8,5,1,1,1] generating graphics... => 96
[8,4,4] generating graphics... => 92
[8,4,3,1] generating graphics... => 96
[8,4,2,2] generating graphics... => 98
[8,4,2,1,1] generating graphics... => 100
[8,4,1,1,1,1] generating graphics... => 104
[8,3,3,2] generating graphics... => 100
[8,3,3,1,1] generating graphics... => 102
[8,3,2,2,1] generating graphics... => 104
[8,3,2,1,1,1] generating graphics... => 107
[8,3,1,1,1,1,1] generating graphics... => 112
[8,2,2,2,2] generating graphics... => 108
[8,2,2,2,1,1] generating graphics... => 110
[8,2,2,1,1,1,1] generating graphics... => 114
[8,2,1,1,1,1,1,1] generating graphics... => 120
[8,1,1,1,1,1,1,1,1] generating graphics... => 128
[7,7,2] generating graphics... => 88
[7,7,1,1] generating graphics... => 90
[7,6,3] generating graphics... => 93
[7,6,2,1] generating graphics... => 96
[7,6,1,1,1] generating graphics... => 99
[7,5,4] generating graphics... => 96
[7,5,3,1] generating graphics... => 100
[7,5,2,2] generating graphics... => 102
[7,5,2,1,1] generating graphics... => 104
[7,5,1,1,1,1] generating graphics... => 108
[7,4,4,1] generating graphics... => 102
[7,4,3,2] generating graphics... => 105
[7,4,3,1,1] generating graphics... => 107
[7,4,2,2,1] generating graphics... => 109
[7,4,2,1,1,1] generating graphics... => 112
[7,4,1,1,1,1,1] generating graphics... => 117
[7,3,3,3] generating graphics... => 108
[7,3,3,2,1] generating graphics... => 111
[7,3,3,1,1,1] generating graphics... => 114
[7,3,2,2,2] generating graphics... => 114
[7,3,2,2,1,1] generating graphics... => 116
[7,3,2,1,1,1,1] generating graphics... => 120
[7,3,1,1,1,1,1,1] generating graphics... => 126
[7,2,2,2,2,1] generating graphics... => 120
[7,2,2,2,1,1,1] generating graphics... => 123
[7,2,2,1,1,1,1,1] generating graphics... => 128
[7,2,1,1,1,1,1,1,1] generating graphics... => 135
[7,1,1,1,1,1,1,1,1,1] generating graphics... => 144
[6,6,4] generating graphics... => 98
[6,6,3,1] generating graphics... => 102
[6,6,2,2] generating graphics... => 104
[6,6,2,1,1] generating graphics... => 106
[6,6,1,1,1,1] generating graphics... => 110
[6,5,5] generating graphics... => 100
[6,5,4,1] generating graphics... => 105
[6,5,3,2] generating graphics... => 108
[6,5,3,1,1] generating graphics... => 110
[6,5,2,2,1] generating graphics... => 112
[6,5,2,1,1,1] generating graphics... => 115
[6,5,1,1,1,1,1] generating graphics... => 120
[6,4,4,2] generating graphics... => 110
[6,4,4,1,1] generating graphics... => 112
[6,4,3,3] generating graphics... => 112
[6,4,3,2,1] generating graphics... => 115
[6,4,3,1,1,1] generating graphics... => 118
[6,4,2,2,2] generating graphics... => 118
[6,4,2,2,1,1] generating graphics... => 120
[6,4,2,1,1,1,1] generating graphics... => 124
[6,4,1,1,1,1,1,1] generating graphics... => 130
[6,3,3,3,1] generating graphics... => 118
[6,3,3,2,2] generating graphics... => 120
[6,3,3,2,1,1] generating graphics... => 122
[6,3,3,1,1,1,1] generating graphics... => 126
[6,3,2,2,2,1] generating graphics... => 125
[6,3,2,2,1,1,1] generating graphics... => 128
[6,3,2,1,1,1,1,1] generating graphics... => 133
[6,3,1,1,1,1,1,1,1] generating graphics... => 140
[6,2,2,2,2,2] generating graphics... => 130
[6,2,2,2,2,1,1] generating graphics... => 132
[6,2,2,2,1,1,1,1] generating graphics... => 136
[6,2,2,1,1,1,1,1,1] generating graphics... => 142
[6,2,1,1,1,1,1,1,1,1] generating graphics... => 150
[6,1,1,1,1,1,1,1,1,1,1] generating graphics... => 160
[5,5,5,1] generating graphics... => 108
[5,5,4,2] generating graphics... => 112
[5,5,4,1,1] generating graphics... => 114
[5,5,3,3] generating graphics... => 114
[5,5,3,2,1] generating graphics... => 117
[5,5,3,1,1,1] generating graphics... => 120
[5,5,2,2,2] generating graphics... => 120
[5,5,2,2,1,1] generating graphics... => 122
[5,5,2,1,1,1,1] generating graphics... => 126
[5,5,1,1,1,1,1,1] generating graphics... => 132
[5,4,4,3] generating graphics... => 116
[5,4,4,2,1] generating graphics... => 119
[5,4,4,1,1,1] generating graphics... => 122
[5,4,3,3,1] generating graphics... => 121
[5,4,3,2,2] generating graphics... => 123
[5,4,3,2,1,1] generating graphics... => 125
[5,4,3,1,1,1,1] generating graphics... => 129
[5,4,2,2,2,1] generating graphics... => 128
[5,4,2,2,1,1,1] generating graphics... => 131
[5,4,2,1,1,1,1,1] generating graphics... => 136
[5,4,1,1,1,1,1,1,1] generating graphics... => 143
[5,3,3,3,2] generating graphics... => 126
[5,3,3,3,1,1] generating graphics... => 128
[5,3,3,2,2,1] generating graphics... => 130
[5,3,3,2,1,1,1] generating graphics... => 133
[5,3,3,1,1,1,1,1] generating graphics... => 138
[5,3,2,2,2,2] generating graphics... => 134
[5,3,2,2,2,1,1] generating graphics... => 136
[5,3,2,2,1,1,1,1] generating graphics... => 140
[5,3,2,1,1,1,1,1,1] generating graphics... => 146
[5,3,1,1,1,1,1,1,1,1] generating graphics... => 154
[5,2,2,2,2,2,1] generating graphics... => 141
[5,2,2,2,2,1,1,1] generating graphics... => 144
[5,2,2,2,1,1,1,1,1] generating graphics... => 149
[5,2,2,1,1,1,1,1,1,1] generating graphics... => 156
[5,2,1,1,1,1,1,1,1,1,1] generating graphics... => 165
[5,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 176
[4,4,4,4] generating graphics... => 120
[4,4,4,3,1] generating graphics... => 124
[4,4,4,2,2] generating graphics... => 126
[4,4,4,2,1,1] generating graphics... => 128
[4,4,4,1,1,1,1] generating graphics... => 132
[4,4,3,3,2] generating graphics... => 128
[4,4,3,3,1,1] generating graphics... => 130
[4,4,3,2,2,1] generating graphics... => 132
[4,4,3,2,1,1,1] generating graphics... => 135
[4,4,3,1,1,1,1,1] generating graphics... => 140
[4,4,2,2,2,2] generating graphics... => 136
[4,4,2,2,2,1,1] generating graphics... => 138
[4,4,2,2,1,1,1,1] generating graphics... => 142
[4,4,2,1,1,1,1,1,1] generating graphics... => 148
[4,4,1,1,1,1,1,1,1,1] generating graphics... => 156
[4,3,3,3,3] generating graphics... => 132
[4,3,3,3,2,1] generating graphics... => 135
[4,3,3,3,1,1,1] generating graphics... => 138
[4,3,3,2,2,2] generating graphics... => 138
[4,3,3,2,2,1,1] generating graphics... => 140
[4,3,3,2,1,1,1,1] generating graphics... => 144
[4,3,3,1,1,1,1,1,1] generating graphics... => 150
[4,3,2,2,2,2,1] generating graphics... => 144
[4,3,2,2,2,1,1,1] generating graphics... => 147
[4,3,2,2,1,1,1,1,1] generating graphics... => 152
[4,3,2,1,1,1,1,1,1,1] generating graphics... => 159
[4,3,1,1,1,1,1,1,1,1,1] generating graphics... => 168
[4,2,2,2,2,2,2] generating graphics... => 150
[4,2,2,2,2,2,1,1] generating graphics... => 152
[4,2,2,2,2,1,1,1,1] generating graphics... => 156
[4,2,2,2,1,1,1,1,1,1] generating graphics... => 162
[4,2,2,1,1,1,1,1,1,1,1] generating graphics... => 170
[4,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 180
[4,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 192
[3,3,3,3,3,1] generating graphics... => 140
[3,3,3,3,2,2] generating graphics... => 142
[3,3,3,3,2,1,1] generating graphics... => 144
[3,3,3,3,1,1,1,1] generating graphics... => 148
[3,3,3,2,2,2,1] generating graphics... => 147
[3,3,3,2,2,1,1,1] generating graphics... => 150
[3,3,3,2,1,1,1,1,1] generating graphics... => 155
[3,3,3,1,1,1,1,1,1,1] generating graphics... => 162
[3,3,2,2,2,2,2] generating graphics... => 152
[3,3,2,2,2,2,1,1] generating graphics... => 154
[3,3,2,2,2,1,1,1,1] generating graphics... => 158
[3,3,2,2,1,1,1,1,1,1] generating graphics... => 164
[3,3,2,1,1,1,1,1,1,1,1] generating graphics... => 172
[3,3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 182
[3,2,2,2,2,2,2,1] generating graphics... => 160
[3,2,2,2,2,2,1,1,1] generating graphics... => 163
[3,2,2,2,2,1,1,1,1,1] generating graphics... => 168
[3,2,2,2,1,1,1,1,1,1,1] generating graphics... => 175
[3,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 184
[3,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 195
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 208
[2,2,2,2,2,2,2,2] generating graphics... => 168
[2,2,2,2,2,2,2,1,1] generating graphics... => 170
[2,2,2,2,2,2,1,1,1,1] generating graphics... => 174
[2,2,2,2,2,1,1,1,1,1,1] generating graphics... => 180
[2,2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 188
[2,2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 198
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 210
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 224
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 240
[17] generating graphics... => 0
[16,1] generating graphics... => 17
[15,2] generating graphics... => 32
[15,1,1] generating graphics... => 34
[14,3] generating graphics... => 45
[14,2,1] generating graphics... => 48
[14,1,1,1] generating graphics... => 51
[13,4] generating graphics... => 56
[13,3,1] generating graphics... => 60
[13,2,2] generating graphics... => 62
[13,2,1,1] generating graphics... => 64
[13,1,1,1,1] generating graphics... => 68
[12,5] generating graphics... => 65
[12,4,1] generating graphics... => 70
[12,3,2] generating graphics... => 73
[12,3,1,1] generating graphics... => 75
[12,2,2,1] generating graphics... => 77
[12,2,1,1,1] generating graphics... => 80
[12,1,1,1,1,1] generating graphics... => 85
[11,6] generating graphics... => 72
[11,5,1] generating graphics... => 78
[11,4,2] generating graphics... => 82
[11,4,1,1] generating graphics... => 84
[11,3,3] generating graphics... => 84
[11,3,2,1] generating graphics... => 87
[11,3,1,1,1] generating graphics... => 90
[11,2,2,2] generating graphics... => 90
[11,2,2,1,1] generating graphics... => 92
[11,2,1,1,1,1] generating graphics... => 96
[11,1,1,1,1,1,1] generating graphics... => 102
[10,7] generating graphics... => 77
[10,6,1] generating graphics... => 84
[10,5,2] generating graphics... => 89
[10,5,1,1] generating graphics... => 91
[10,4,3] generating graphics... => 92
[10,4,2,1] generating graphics... => 95
[10,4,1,1,1] generating graphics... => 98
[10,3,3,1] generating graphics... => 97
[10,3,2,2] generating graphics... => 99
[10,3,2,1,1] generating graphics... => 101
[10,3,1,1,1,1] generating graphics... => 105
[10,2,2,2,1] generating graphics... => 104
[10,2,2,1,1,1] generating graphics... => 107
[10,2,1,1,1,1,1] generating graphics... => 112
[10,1,1,1,1,1,1,1] generating graphics... => 119
[9,8] generating graphics... => 80
[9,7,1] generating graphics... => 88
[9,6,2] generating graphics... => 94
[9,6,1,1] generating graphics... => 96
[9,5,3] generating graphics... => 98
[9,5,2,1] generating graphics... => 101
[9,5,1,1,1] generating graphics... => 104
[9,4,4] generating graphics... => 100
[9,4,3,1] generating graphics... => 104
[9,4,2,2] generating graphics... => 106
[9,4,2,1,1] generating graphics... => 108
[9,4,1,1,1,1] generating graphics... => 112
[9,3,3,2] generating graphics... => 108
[9,3,3,1,1] generating graphics... => 110
[9,3,2,2,1] generating graphics... => 112
[9,3,2,1,1,1] generating graphics... => 115
[9,3,1,1,1,1,1] generating graphics... => 120
[9,2,2,2,2] generating graphics... => 116
[9,2,2,2,1,1] generating graphics... => 118
[9,2,2,1,1,1,1] generating graphics... => 122
[9,2,1,1,1,1,1,1] generating graphics... => 128
[9,1,1,1,1,1,1,1,1] generating graphics... => 136
[8,8,1] generating graphics... => 90
[8,7,2] generating graphics... => 97
[8,7,1,1] generating graphics... => 99
[8,6,3] generating graphics... => 102
[8,6,2,1] generating graphics... => 105
[8,6,1,1,1] generating graphics... => 108
[8,5,4] generating graphics... => 105
[8,5,3,1] generating graphics... => 109
[8,5,2,2] generating graphics... => 111
[8,5,2,1,1] generating graphics... => 113
[8,5,1,1,1,1] generating graphics... => 117
[8,4,4,1] generating graphics... => 111
[8,4,3,2] generating graphics... => 114
[8,4,3,1,1] generating graphics... => 116
[8,4,2,2,1] generating graphics... => 118
[8,4,2,1,1,1] generating graphics... => 121
[8,4,1,1,1,1,1] generating graphics... => 126
[8,3,3,3] generating graphics... => 117
[8,3,3,2,1] generating graphics... => 120
[8,3,3,1,1,1] generating graphics... => 123
[8,3,2,2,2] generating graphics... => 123
[8,3,2,2,1,1] generating graphics... => 125
[8,3,2,1,1,1,1] generating graphics... => 129
[8,3,1,1,1,1,1,1] generating graphics... => 135
[8,2,2,2,2,1] generating graphics... => 129
[8,2,2,2,1,1,1] generating graphics... => 132
[8,2,2,1,1,1,1,1] generating graphics... => 137
[8,2,1,1,1,1,1,1,1] generating graphics... => 144
[8,1,1,1,1,1,1,1,1,1] generating graphics... => 153
[7,7,3] generating graphics... => 104
[7,7,2,1] generating graphics... => 107
[7,7,1,1,1] generating graphics... => 110
[7,6,4] generating graphics... => 108
[7,6,3,1] generating graphics... => 112
[7,6,2,2] generating graphics... => 114
[7,6,2,1,1] generating graphics... => 116
[7,6,1,1,1,1] generating graphics... => 120
[7,5,5] generating graphics... => 110
[7,5,4,1] generating graphics... => 115
[7,5,3,2] generating graphics... => 118
[7,5,3,1,1] generating graphics... => 120
[7,5,2,2,1] generating graphics... => 122
[7,5,2,1,1,1] generating graphics... => 125
[7,5,1,1,1,1,1] generating graphics... => 130
[7,4,4,2] generating graphics... => 120
[7,4,4,1,1] generating graphics... => 122
[7,4,3,3] generating graphics... => 122
[7,4,3,2,1] generating graphics... => 125
[7,4,3,1,1,1] generating graphics... => 128
[7,4,2,2,2] generating graphics... => 128
[7,4,2,2,1,1] generating graphics... => 130
[7,4,2,1,1,1,1] generating graphics... => 134
[7,4,1,1,1,1,1,1] generating graphics... => 140
[7,3,3,3,1] generating graphics... => 128
[7,3,3,2,2] generating graphics... => 130
[7,3,3,2,1,1] generating graphics... => 132
[7,3,3,1,1,1,1] generating graphics... => 136
[7,3,2,2,2,1] generating graphics... => 135
[7,3,2,2,1,1,1] generating graphics... => 138
[7,3,2,1,1,1,1,1] generating graphics... => 143
[7,3,1,1,1,1,1,1,1] generating graphics... => 150
[7,2,2,2,2,2] generating graphics... => 140
[7,2,2,2,2,1,1] generating graphics... => 142
[7,2,2,2,1,1,1,1] generating graphics... => 146
[7,2,2,1,1,1,1,1,1] generating graphics... => 152
[7,2,1,1,1,1,1,1,1,1] generating graphics... => 160
[7,1,1,1,1,1,1,1,1,1,1] generating graphics... => 170
[6,6,5] generating graphics... => 112
[6,6,4,1] generating graphics... => 117
[6,6,3,2] generating graphics... => 120
[6,6,3,1,1] generating graphics... => 122
[6,6,2,2,1] generating graphics... => 124
[6,6,2,1,1,1] generating graphics... => 127
[6,6,1,1,1,1,1] generating graphics... => 132
[6,5,5,1] generating graphics... => 119
[6,5,4,2] generating graphics... => 123
[6,5,4,1,1] generating graphics... => 125
[6,5,3,3] generating graphics... => 125
[6,5,3,2,1] generating graphics... => 128
[6,5,3,1,1,1] generating graphics... => 131
[6,5,2,2,2] generating graphics... => 131
[6,5,2,2,1,1] generating graphics... => 133
[6,5,2,1,1,1,1] generating graphics... => 137
[6,5,1,1,1,1,1,1] generating graphics... => 143
[6,4,4,3] generating graphics... => 127
[6,4,4,2,1] generating graphics... => 130
[6,4,4,1,1,1] generating graphics... => 133
[6,4,3,3,1] generating graphics... => 132
[6,4,3,2,2] generating graphics... => 134
[6,4,3,2,1,1] generating graphics... => 136
[6,4,3,1,1,1,1] generating graphics... => 140
[6,4,2,2,2,1] generating graphics... => 139
[6,4,2,2,1,1,1] generating graphics... => 142
[6,4,2,1,1,1,1,1] generating graphics... => 147
[6,4,1,1,1,1,1,1,1] generating graphics... => 154
[6,3,3,3,2] generating graphics... => 137
[6,3,3,3,1,1] generating graphics... => 139
[6,3,3,2,2,1] generating graphics... => 141
[6,3,3,2,1,1,1] generating graphics... => 144
[6,3,3,1,1,1,1,1] generating graphics... => 149
[6,3,2,2,2,2] generating graphics... => 145
[6,3,2,2,2,1,1] generating graphics... => 147
[6,3,2,2,1,1,1,1] generating graphics... => 151
[6,3,2,1,1,1,1,1,1] generating graphics... => 157
[6,3,1,1,1,1,1,1,1,1] generating graphics... => 165
[6,2,2,2,2,2,1] generating graphics... => 152
[6,2,2,2,2,1,1,1] generating graphics... => 155
[6,2,2,2,1,1,1,1,1] generating graphics... => 160
[6,2,2,1,1,1,1,1,1,1] generating graphics... => 167
[6,2,1,1,1,1,1,1,1,1,1] generating graphics... => 176
[6,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 187
[5,5,5,2] generating graphics... => 126
[5,5,5,1,1] generating graphics... => 128
[5,5,4,3] generating graphics... => 129
[5,5,4,2,1] generating graphics... => 132
[5,5,4,1,1,1] generating graphics... => 135
[5,5,3,3,1] generating graphics... => 134
[5,5,3,2,2] generating graphics... => 136
[5,5,3,2,1,1] generating graphics... => 138
[5,5,3,1,1,1,1] generating graphics... => 142
[5,5,2,2,2,1] generating graphics... => 141
[5,5,2,2,1,1,1] generating graphics... => 144
[5,5,2,1,1,1,1,1] generating graphics... => 149
[5,5,1,1,1,1,1,1,1] generating graphics... => 156
[5,4,4,4] generating graphics... => 132
[5,4,4,3,1] generating graphics... => 136
[5,4,4,2,2] generating graphics... => 138
[5,4,4,2,1,1] generating graphics... => 140
[5,4,4,1,1,1,1] generating graphics... => 144
[5,4,3,3,2] generating graphics... => 140
[5,4,3,3,1,1] generating graphics... => 142
[5,4,3,2,2,1] generating graphics... => 144
[5,4,3,2,1,1,1] generating graphics... => 147
[5,4,3,1,1,1,1,1] generating graphics... => 152
[5,4,2,2,2,2] generating graphics... => 148
[5,4,2,2,2,1,1] generating graphics... => 150
[5,4,2,2,1,1,1,1] generating graphics... => 154
[5,4,2,1,1,1,1,1,1] generating graphics... => 160
[5,4,1,1,1,1,1,1,1,1] generating graphics... => 168
[5,3,3,3,3] generating graphics... => 144
[5,3,3,3,2,1] generating graphics... => 147
[5,3,3,3,1,1,1] generating graphics... => 150
[5,3,3,2,2,2] generating graphics... => 150
[5,3,3,2,2,1,1] generating graphics... => 152
[5,3,3,2,1,1,1,1] generating graphics... => 156
[5,3,3,1,1,1,1,1,1] generating graphics... => 162
[5,3,2,2,2,2,1] generating graphics... => 156
[5,3,2,2,2,1,1,1] generating graphics... => 159
[5,3,2,2,1,1,1,1,1] generating graphics... => 164
[5,3,2,1,1,1,1,1,1,1] generating graphics... => 171
[5,3,1,1,1,1,1,1,1,1,1] generating graphics... => 180
[5,2,2,2,2,2,2] generating graphics... => 162
[5,2,2,2,2,2,1,1] generating graphics... => 164
[5,2,2,2,2,1,1,1,1] generating graphics... => 168
[5,2,2,2,1,1,1,1,1,1] generating graphics... => 174
[5,2,2,1,1,1,1,1,1,1,1] generating graphics... => 182
[5,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 192
[5,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 204
[4,4,4,4,1] generating graphics... => 140
[4,4,4,3,2] generating graphics... => 143
[4,4,4,3,1,1] generating graphics... => 145
[4,4,4,2,2,1] generating graphics... => 147
[4,4,4,2,1,1,1] generating graphics... => 150
[4,4,4,1,1,1,1,1] generating graphics... => 155
[4,4,3,3,3] generating graphics... => 146
[4,4,3,3,2,1] generating graphics... => 149
[4,4,3,3,1,1,1] generating graphics... => 152
[4,4,3,2,2,2] generating graphics... => 152
[4,4,3,2,2,1,1] generating graphics... => 154
[4,4,3,2,1,1,1,1] generating graphics... => 158
[4,4,3,1,1,1,1,1,1] generating graphics... => 164
[4,4,2,2,2,2,1] generating graphics... => 158
[4,4,2,2,2,1,1,1] generating graphics... => 161
[4,4,2,2,1,1,1,1,1] generating graphics... => 166
[4,4,2,1,1,1,1,1,1,1] generating graphics... => 173
[4,4,1,1,1,1,1,1,1,1,1] generating graphics... => 182
[4,3,3,3,3,1] generating graphics... => 153
[4,3,3,3,2,2] generating graphics... => 155
[4,3,3,3,2,1,1] generating graphics... => 157
[4,3,3,3,1,1,1,1] generating graphics... => 161
[4,3,3,2,2,2,1] generating graphics... => 160
[4,3,3,2,2,1,1,1] generating graphics... => 163
[4,3,3,2,1,1,1,1,1] generating graphics... => 168
[4,3,3,1,1,1,1,1,1,1] generating graphics... => 175
[4,3,2,2,2,2,2] generating graphics... => 165
[4,3,2,2,2,2,1,1] generating graphics... => 167
[4,3,2,2,2,1,1,1,1] generating graphics... => 171
[4,3,2,2,1,1,1,1,1,1] generating graphics... => 177
[4,3,2,1,1,1,1,1,1,1,1] generating graphics... => 185
[4,3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 195
[4,2,2,2,2,2,2,1] generating graphics... => 173
[4,2,2,2,2,2,1,1,1] generating graphics... => 176
[4,2,2,2,2,1,1,1,1,1] generating graphics... => 181
[4,2,2,2,1,1,1,1,1,1,1] generating graphics... => 188
[4,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 197
[4,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 208
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 221
[3,3,3,3,3,2] generating graphics... => 160
[3,3,3,3,3,1,1] generating graphics... => 162
[3,3,3,3,2,2,1] generating graphics... => 164
[3,3,3,3,2,1,1,1] generating graphics... => 167
[3,3,3,3,1,1,1,1,1] generating graphics... => 172
[3,3,3,2,2,2,2] generating graphics... => 168
[3,3,3,2,2,2,1,1] generating graphics... => 170
[3,3,3,2,2,1,1,1,1] generating graphics... => 174
[3,3,3,2,1,1,1,1,1,1] generating graphics... => 180
[3,3,3,1,1,1,1,1,1,1,1] generating graphics... => 188
[3,3,2,2,2,2,2,1] generating graphics... => 175
[3,3,2,2,2,2,1,1,1] generating graphics... => 178
[3,3,2,2,2,1,1,1,1,1] generating graphics... => 183
[3,3,2,2,1,1,1,1,1,1,1] generating graphics... => 190
[3,3,2,1,1,1,1,1,1,1,1,1] generating graphics... => 199
[3,3,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 210
[3,2,2,2,2,2,2,2] generating graphics... => 182
[3,2,2,2,2,2,2,1,1] generating graphics... => 184
[3,2,2,2,2,2,1,1,1,1] generating graphics... => 188
[3,2,2,2,2,1,1,1,1,1,1] generating graphics... => 194
[3,2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 202
[3,2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 212
click to show generating function       
Description
Twice the mean value of the major index among all standard Young tableaux of a partition.
For a partition $\lambda$ of $n$, this mean value is given in [1, Proposition 3.1] by
$$\frac{1}{2}\Big(\binom{n}{2} - \sum_i\binom{\lambda_i}{2} + \sum_i\binom{\lambda_i'}{2}\Big),$$
where $\lambda_i$ is the size of the $i$-th row of $\lambda$ and $\lambda_i'$ is the size of the $i$-th column.
References
[1] , Adin, R. M., Roichman, Y. Descent functions and random Young tableaux MathSciNet:1841639 arXiv:math/9910165
Code
def statistic(L):
    n = sum(L)
    return binomial(n,2) - sum(binomial(i,2) for i in L) + sum(binomial(i,2) for i in L.conjugate())

Created
May 07, 2018 at 20:47 by Christian Stump
Updated
May 07, 2018 at 20:47 by Christian Stump