Values
=>
Cc0014;cc-rep
([],1)=>3
([],2)=>9
([(0,1)],2)=>6
([],3)=>27
([(1,2)],3)=>18
([(0,1),(0,2)],3)=>14
([(0,2),(2,1)],3)=>10
([(0,2),(1,2)],3)=>14
([],4)=>81
([(2,3)],4)=>54
([(1,2),(1,3)],4)=>42
([(0,1),(0,2),(0,3)],4)=>36
([(0,2),(0,3),(3,1)],4)=>25
([(0,1),(0,2),(1,3),(2,3)],4)=>20
([(1,2),(2,3)],4)=>30
([(0,3),(3,1),(3,2)],4)=>20
([(1,3),(2,3)],4)=>42
([(0,3),(1,3),(3,2)],4)=>20
([(0,3),(1,3),(2,3)],4)=>36
([(0,3),(1,2)],4)=>36
([(0,3),(1,2),(1,3)],4)=>31
([(0,2),(0,3),(1,2),(1,3)],4)=>26
([(0,3),(2,1),(3,2)],4)=>15
([(0,3),(1,2),(2,3)],4)=>25
([],5)=>243
([(3,4)],5)=>162
([(2,3),(2,4)],5)=>126
([(1,2),(1,3),(1,4)],5)=>108
([(0,1),(0,2),(0,3),(0,4)],5)=>98
([(0,2),(0,3),(0,4),(4,1)],5)=>67
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>53
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>46
([(1,3),(1,4),(4,2)],5)=>75
([(0,3),(0,4),(4,1),(4,2)],5)=>53
([(1,2),(1,3),(2,4),(3,4)],5)=>60
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>27
([(0,3),(0,4),(3,2),(4,1)],5)=>46
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>40
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>34
([(2,3),(3,4)],5)=>90
([(1,4),(4,2),(4,3)],5)=>60
([(0,4),(4,1),(4,2),(4,3)],5)=>46
([(2,4),(3,4)],5)=>126
([(1,4),(2,4),(4,3)],5)=>60
([(0,4),(1,4),(4,2),(4,3)],5)=>34
([(1,4),(2,4),(3,4)],5)=>108
([(0,4),(1,4),(2,4),(4,3)],5)=>46
([(0,4),(1,4),(2,4),(3,4)],5)=>98
([(0,4),(1,4),(2,3)],5)=>84
([(0,4),(1,3),(2,3),(2,4)],5)=>70
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>63
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>56
([(0,4),(1,4),(2,3),(4,2)],5)=>27
([(0,4),(1,3),(2,3),(3,4)],5)=>53
([(0,4),(1,4),(2,3),(2,4)],5)=>77
([(0,4),(1,4),(2,3),(3,4)],5)=>67
([(1,4),(2,3)],5)=>108
([(1,4),(2,3),(2,4)],5)=>93
([(0,4),(1,2),(1,4),(2,3)],5)=>54
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>40
([(1,3),(1,4),(2,3),(2,4)],5)=>78
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>41
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>34
([(0,4),(1,2),(1,4),(4,3)],5)=>47
([(0,4),(1,2),(1,3)],5)=>84
([(0,4),(1,2),(1,3),(1,4)],5)=>77
([(0,2),(0,4),(3,1),(4,3)],5)=>39
([(0,4),(1,2),(1,3),(3,4)],5)=>61
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>33
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>53
([(0,3),(0,4),(1,2),(1,4)],5)=>70
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>63
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>56
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>48
([(0,3),(1,2),(1,4),(3,4)],5)=>54
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>41
([(1,4),(3,2),(4,3)],5)=>45
([(0,3),(3,4),(4,1),(4,2)],5)=>27
([(1,4),(2,3),(3,4)],5)=>75
([(0,4),(1,2),(2,4),(4,3)],5)=>33
([(0,3),(1,4),(4,2)],5)=>60
([(0,4),(3,2),(4,1),(4,3)],5)=>33
([(0,4),(1,2),(2,3),(2,4)],5)=>47
([(0,4),(2,3),(3,1),(4,2)],5)=>21
([(0,3),(1,2),(2,4),(3,4)],5)=>46
([(0,4),(1,2),(2,3),(3,4)],5)=>39
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>27
([],6)=>729
([(4,5)],6)=>486
([(3,4),(3,5)],6)=>378
([(2,3),(2,4),(2,5)],6)=>324
([(1,2),(1,3),(1,4),(1,5)],6)=>294
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>276
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>187
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>147
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>127
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>116
([(1,3),(1,4),(1,5),(5,2)],6)=>201
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>147
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>159
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>138
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>57
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>100
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>84
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>76
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>68
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>92
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>65
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>73
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>127
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>110
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>93
([(2,3),(2,4),(4,5)],6)=>225
([(1,4),(1,5),(5,2),(5,3)],6)=>159
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>127
([(2,3),(2,4),(3,5),(4,5)],6)=>180
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>81
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>43
([(1,4),(1,5),(4,3),(5,2)],6)=>138
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>120
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>102
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>51
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>43
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>58
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>100
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>92
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>84
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>76
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>68
([(3,4),(4,5)],6)=>270
([(2,3),(3,4),(3,5)],6)=>180
([(1,5),(5,2),(5,3),(5,4)],6)=>138
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>116
([(2,3),(3,5),(5,4)],6)=>135
([(1,4),(4,5),(5,2),(5,3)],6)=>81
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>57
([(3,5),(4,5)],6)=>378
([(2,5),(3,5),(5,4)],6)=>180
([(1,5),(2,5),(5,3),(5,4)],6)=>102
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>68
([(2,5),(3,5),(4,5)],6)=>324
([(1,5),(2,5),(3,5),(5,4)],6)=>138
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>68
([(1,5),(2,5),(3,5),(4,5)],6)=>294
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>116
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>276
([(0,5),(1,5),(2,5),(3,4)],6)=>216
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>57
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>127
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>205
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>187
([(1,5),(2,5),(3,4)],6)=>252
([(1,5),(2,4),(3,4),(3,5)],6)=>210
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>104
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>84
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>189
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>96
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>76
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>168
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>79
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>68
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>87
([(1,5),(2,5),(3,4),(5,3)],6)=>81
([(1,5),(2,4),(3,4),(4,5)],6)=>159
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>65
([(0,5),(1,5),(2,3),(5,4)],6)=>120
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>51
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>85
([(1,5),(2,5),(3,4),(3,5)],6)=>231
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>103
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>132
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>92
([(0,5),(1,5),(2,3),(2,4)],6)=>196
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>43
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>112
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>77
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>187
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>100
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>73
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>57
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>161
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>90
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>65
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>147
([(1,5),(2,5),(3,4),(4,5)],6)=>201
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>81
([(0,5),(1,5),(2,3),(3,4)],6)=>140
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>35
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>100
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>83
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>65
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>121
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>107
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>73
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>57
([(0,5),(1,5),(2,4),(3,4)],6)=>196
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>176
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>165
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>156
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>145
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>134
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>73
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>43
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>147
([(2,5),(3,4)],6)=>324
([(2,5),(3,4),(3,5)],6)=>279
([(1,5),(2,3),(2,5),(3,4)],6)=>162
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>112
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>76
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>60
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>120
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>50
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>84
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>68
([(2,4),(2,5),(3,4),(3,5)],6)=>234
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>123
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>77
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>102
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>68
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>60
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>52
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>156
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>59
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>43
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>51
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>105
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>93
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>138
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>88
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>129
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>106
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>114
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>95
([(1,5),(2,3),(2,5),(5,4)],6)=>141
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>85
([(1,5),(2,3),(2,4)],6)=>252
([(1,5),(2,3),(2,4),(2,5)],6)=>231
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>141
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>102
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>112
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>92
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>121
([(0,5),(1,2),(1,3),(1,4)],6)=>216
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>205
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>107
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>161
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>90
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>139
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>81
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>127
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>132
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>96
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>79
([(1,3),(1,5),(4,2),(5,4)],6)=>117
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>73
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>73
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>66
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>50
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>66
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>59
([(1,5),(2,3),(2,4),(4,5)],6)=>183
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>83
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>99
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>42
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>159
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>65
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>111
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>94
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>85
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>74
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>74
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>102
([(0,4),(1,3),(1,5),(5,2)],6)=>150
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>90
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>122
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>111
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>49
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>120
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>100
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>35
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>73
([(1,4),(1,5),(2,3),(2,5)],6)=>210
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>189
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>104
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>85
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>168
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>95
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>77
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>68
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>114
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>86
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>76
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>113
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>144
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>77
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>68
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>59
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>123
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>94
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>96
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>69
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>95
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>84
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>76
([(0,4),(0,5),(1,2),(1,3)],6)=>196
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>176
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>165
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>124
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>104
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>156
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>145
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>134
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>106
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>115
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>88
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>133
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>105
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>51
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>58
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>112
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>95
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>86
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>77
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>86
([(1,4),(2,3),(2,5),(4,5)],6)=>162
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>75
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>123
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>60
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>51
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>93
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>66
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>77
([(0,5),(1,3),(1,4),(5,2)],6)=>140
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>56
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>65
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>104
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>87
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>68
([(2,5),(3,4),(4,5)],6)=>225
([(1,5),(2,3),(3,5),(5,4)],6)=>99
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>51
([(1,3),(2,4),(4,5)],6)=>180
([(1,5),(4,3),(5,2),(5,4)],6)=>99
([(1,5),(2,3),(3,4),(3,5)],6)=>141
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>67
([(0,4),(1,5),(5,2),(5,3)],6)=>120
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>81
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>103
([(1,5),(3,4),(4,2),(5,3)],6)=>63
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>35
([(1,4),(2,3),(3,5),(4,5)],6)=>138
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>57
([(0,5),(1,4),(4,2),(5,3)],6)=>100
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>49
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>84
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>68
([(1,5),(2,3),(3,4),(4,5)],6)=>117
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>81
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>35
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>49
([(0,5),(1,4),(2,3)],6)=>216
([(0,5),(1,3),(2,4),(2,5)],6)=>186
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>167
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>83
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>66
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>133
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>58
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>110
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>66
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>122
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>157
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>138
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>129
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>129
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>120
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>111
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>102
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>96
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>148
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>124
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>167
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>115
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>123
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>104
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>83
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>59
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>43
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>50
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>141
([(0,5),(1,3),(4,2),(5,4)],6)=>90
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>57
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>75
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>58
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>42
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>66
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>28
([(0,5),(1,3),(2,4),(4,5)],6)=>150
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>113
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>42
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>90
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>56
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>35
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>73
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>42
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>127
([],7)=>2187
([(5,6)],7)=>1458
([(4,5),(4,6)],7)=>1134
([(3,4),(3,5),(3,6)],7)=>972
([(2,3),(2,4),(2,5),(2,6)],7)=>882
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>828
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>794
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>535
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>419
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>361
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>329
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>310
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>561
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>419
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>441
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>381
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>348
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>135
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>244
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>232
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>147
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>159
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>283
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>237
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>214
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>191
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>260
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>222
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>200
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>188
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>178
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>166
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>154
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>169
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>182
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>205
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>361
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>312
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>263
([(2,4),(2,5),(2,6),(6,3)],7)=>603
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>441
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>361
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>477
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>414
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>171
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>81
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>300
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>252
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>228
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>204
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>93
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>81
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>112
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>90
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>102
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>121
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>99
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>276
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>120
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>222
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>212
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>130
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>91
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>195
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>78
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>139
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>100
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>219
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>119
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>381
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>330
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>279
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>178
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>158
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>103
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>122
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>109
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>142
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>119
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>162
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>283
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>260
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>237
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>214
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>191
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>244
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>211
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>190
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>179
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>158
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>148
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>138
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>128
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>118
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>169
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>112
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>190
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>141
([(3,4),(3,5),(5,6)],7)=>675
([(2,5),(2,6),(6,3),(6,4)],7)=>477
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>381
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>329
([(3,4),(3,5),(4,6),(5,6)],7)=>540
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>243
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>129
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>81
([(2,5),(2,6),(5,4),(6,3)],7)=>414
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>360
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>306
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>153
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>91
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>129
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>53
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>81
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>72
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>63
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>174
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>100
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>300
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>276
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>140
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>244
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>232
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>252
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>228
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>204
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>111
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>91
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>81
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>121
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>100
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>131
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>222
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>200
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>188
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>178
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>166
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>154
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>297
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>126
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>62
([(4,5),(5,6)],7)=>810
([(3,4),(4,5),(4,6)],7)=>540
([(2,6),(6,3),(6,4),(6,5)],7)=>414
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>348
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>310
([(3,4),(4,6),(6,5)],7)=>405
([(2,5),(5,6),(6,3),(6,4)],7)=>243
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>171
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>135
([(4,6),(5,6)],7)=>1134
([(3,6),(4,6),(6,5)],7)=>540
([(2,6),(3,6),(6,4),(6,5)],7)=>306
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>204
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>154
([(3,6),(4,6),(5,6)],7)=>972
([(2,6),(3,6),(4,6),(6,5)],7)=>414
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>204
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>118
([(2,6),(3,6),(4,6),(5,6)],7)=>882
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>348
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>154
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>828
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>310
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>794
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>588
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>135
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>329
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>569
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>535
([(1,6),(2,6),(3,6),(4,5)],7)=>648
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>171
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>381
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>276
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>93
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>179
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>615
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>251
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>348
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>232
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>504
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>81
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>264
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>167
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>491
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>445
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>419
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>561
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>213
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>360
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>69
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>147
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>244
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>329
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>156
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>96
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>69
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>303
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>504
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>446
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>414
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>395
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>382
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>363
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>344
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>159
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>81
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>361
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>472
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>453
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>205
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>119
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>81
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>419
([(2,6),(3,6),(4,5)],7)=>756
([(2,6),(3,5),(4,5),(4,6)],7)=>630
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>312
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>184
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>252
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>99
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>158
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>136
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>114
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>567
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>288
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>174
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>126
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>104
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>228
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>138
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>116
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>504
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>237
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>131
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>204
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>118
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>106
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>94
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>336
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>105
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>211
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>93
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>191
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>310
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>186
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>297
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>258
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>270
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>239
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>261
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>141
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>378
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>135
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>90
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>112
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>249
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>102
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>214
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>114
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>234
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>339
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>198
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>326
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>286
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>351
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>223
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>273
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>285
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>254
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>309
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>420
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>368
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>144
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>272
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>121
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>237
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>380
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>314
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>289
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>276
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>301
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>235
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>355
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>301
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>324
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>269
([(2,6),(3,6),(4,5),(6,4)],7)=>243
([(2,6),(3,5),(4,5),(5,6)],7)=>477
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>195
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>91
([(1,6),(2,6),(3,4),(6,5)],7)=>360
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>153
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>255
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>113
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>204
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>111
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>161
([(2,6),(3,6),(4,5),(4,6)],7)=>693
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>309
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>161
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>396
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>276
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>180
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>136
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>270
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>168
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>124
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>201
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>108
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>152
([(1,6),(2,6),(3,4),(3,5)],7)=>588
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>129
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>336
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>231
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>104
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>143
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>280
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>91
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>184
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>141
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>561
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>257
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>339
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>228
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>270
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>212
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>504
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>81
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>270
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>174
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>131
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>491
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>272
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>205
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>159
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>421
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>244
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>182
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>147
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>383
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>228
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>169
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>361
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>483
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>199
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>441
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>169
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>350
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>62
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>191
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>147
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>130
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>91
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>239
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>224
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>182
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>310
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>186
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>117
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>175
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>130
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>121
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>155
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>129
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>111
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>99
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>139
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>87
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>130
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>108
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>166
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>139
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>70
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>291
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>184
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>198
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>160
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>276
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>254
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>182
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>147
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>280
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>53
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>222
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>242
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>227
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>96
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>53
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>205
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>272
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>196
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>159
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>159
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>117
([(2,6),(3,6),(4,5),(5,6)],7)=>603
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>243
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>111
([(1,6),(2,6),(3,4),(4,5)],7)=>420
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>105
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>300
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>117
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>200
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>71
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>156
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>363
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>155
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>189
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>140
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>280
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>53
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>178
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>134
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>199
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>169
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>257
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>223
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>173
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>147
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>205
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>159
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>135
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>168
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>68
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>105
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>44
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>321
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>125
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>210
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>44
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>161
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>108
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>78
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>174
([(1,6),(2,6),(3,5),(4,5)],7)=>588
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>528
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>258
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>200
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>495
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>246
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>188
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>207
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>468
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>210
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>178
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>435
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>198
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>166
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>185
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>402
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>173
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>154
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>232
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>219
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>129
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>87
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>53
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>441
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>169
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>280
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>133
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>91
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>227
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>222
([(0,6),(1,6),(2,5),(3,4)],7)=>504
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>162
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>81
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>123
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>318
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>217
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>78
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>182
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>462
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>132
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>280
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>327
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>120
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>260
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>433
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>299
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>393
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>220
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>380
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>338
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>387
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>311
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>280
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>434
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>353
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>328
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>303
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>135
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>259
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>110
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>257
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>204
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>153
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>72
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>114
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>305
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>409
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>353
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>162
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>100
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>312
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>364
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>313
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>288
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>264
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>251
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>222
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>286
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>210
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>275
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>262
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>249
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>251
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>238
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>225
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>212
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>236
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>126
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>101
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>63
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>244
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>191
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>340
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>327
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>156
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>101
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>119
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>72
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>63
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>285
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>142
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>91
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>263
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>176
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>110
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>334
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>402
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>96
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>228
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>361
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>350
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>96
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>139
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>62
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>100
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>283
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>295
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>116
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>62
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>254
([(3,6),(4,5)],7)=>972
([(3,6),(4,5),(4,6)],7)=>837
([(2,6),(3,4),(3,6),(4,5)],7)=>486
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>336
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>264
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>168
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>126
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>106
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>228
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>180
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>101
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>178
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>136
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>116
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>360
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>150
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>72
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>252
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>204
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>156
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>136
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>249
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>198
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>79
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>131
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>92
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>112
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>153
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>111
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>92
([(3,5),(3,6),(4,5),(4,6)],7)=>702
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>369
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>231
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>167
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>306
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>129
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>204
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>180
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>156
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>134
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>124
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>114
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>104
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>94
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>468
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>414
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>224
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>184
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>173
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>158
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>387
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>213
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>174
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>148
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>162
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>189
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>212
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>177
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>101
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>92
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>73
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>83
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>82
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>92
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>315
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>153
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>279
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>109
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>171
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>158
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>135
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>122
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>246
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>122
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>102
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>186
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>204
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>148
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>135
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>414
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>201
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>264
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>129
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>116
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>103
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>213
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>172
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>154
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>117
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>387
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>190
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>161
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>228
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>164
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>148
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>318
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>151
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>123
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>138
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>239
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>174
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>175
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>158
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>202
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>139
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>170
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>364
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>101
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>63
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>82
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>73
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>225
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>165
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>194
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>151
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>138
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>125
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>340
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>203
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>144
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>327
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>266
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>234
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>156
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>119
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>277
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>162
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>237
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>122
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>91
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>133
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>100
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>244
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>221
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>206
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>191
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>342
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>147
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>171
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>132
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>285
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>126
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>111
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>260
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>80
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>53
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>62
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>71
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>195
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>178
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>135
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>109
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>212
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>149
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>189
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>158
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>179
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>112
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>90
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>143
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>101
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>81
([(2,6),(3,4),(3,6),(6,5)],7)=>423
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>255
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>179
([(2,6),(3,4),(3,5)],7)=>756
([(2,6),(3,4),(3,5),(3,6)],7)=>693
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>423
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>305
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>203
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>158
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>306
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>130
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>225
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>180
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>336
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>276
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>108
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>178
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>156
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>153
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>130
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>264
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>229
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>157
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>135
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>178
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>194
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>146
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>124
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>189
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>146
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>363
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>227
([(1,6),(2,3),(2,4),(2,5)],7)=>648
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>615
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>387
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>276
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>305
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>248
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>264
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>232
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>329
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>588
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>569
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>303
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>445
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>254
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>383
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>228
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>349
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>213
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>329
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>348
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>246
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>198
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>173
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>321
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>205
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>483
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>223
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>270
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>116
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>417
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>173
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>243
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>96
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>381
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>147
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>261
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>160
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>184
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>248
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>303
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>198
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>208
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>278
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Description
The number of homomorphisms to the three element chain of a poset.
This is the evaluation of the order polynomial at $3$.
This is the evaluation of the order polynomial at $3$.
References
[1] Campo, F. a. A recursive approach for the enumeration of the homomorphisms from a poset $P$ to the chain $C_3$ arXiv:2104.03079
Code
def statistic(P): return P.order_polynomial().subs(q=3)
Created
Apr 08, 2021 at 15:24 by Martin Rubey
Updated
Apr 08, 2021 at 15:24 by Martin Rubey
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