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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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-----------------------------------------------------------------------------
Statistic identifier: St001604
-----------------------------------------------------------------------------
Collection: Integer partitions
-----------------------------------------------------------------------------
Description: The multiplicity of the irreducible representation corresponding to a partition in the relabelling action on polygons.
Equivalently, this is the multiplicity of the irreducible representation corresponding to a partition in the cycle index of the dihedral group.
This statistic is only defined for partitions of size at least 3, to avoid ambiguity.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(mu):
s = SymmetricFunctions(QQ).s()
return DihedralGroup(mu.size()).cycle_index().scalar(s(mu))
-----------------------------------------------------------------------------
Statistic values:
[3] => 1
[2,1] => 0
[1,1,1] => 0
[4] => 1
[3,1] => 0
[2,2] => 1
[2,1,1] => 0
[1,1,1,1] => 0
[5] => 1
[4,1] => 0
[3,2] => 1
[3,1,1] => 0
[2,2,1] => 1
[2,1,1,1] => 0
[1,1,1,1,1] => 1
[6] => 1
[5,1] => 0
[4,2] => 2
[4,1,1] => 0
[3,3] => 0
[3,2,1] => 1
[3,1,1,1] => 1
[2,2,2] => 2
[2,2,1,1] => 0
[2,1,1,1,1] => 1
[1,1,1,1,1,1] => 0
[7] => 1
[6,1] => 0
[5,2] => 2
[5,1,1] => 0
[4,3] => 1
[4,2,1] => 3
[4,1,1,1] => 1
[3,3,1] => 0
[3,2,2] => 3
[3,2,1,1] => 2
[3,1,1,1,1] => 3
[2,2,2,1] => 1
[2,2,1,1,1] => 0
[2,1,1,1,1,1] => 0
[1,1,1,1,1,1,1] => 0
[8] => 1
[7,1] => 0
[6,2] => 3
[6,1,1] => 0
[5,3] => 1
[5,2,1] => 4
[5,1,1,1] => 2
[4,4] => 3
[4,3,1] => 3
[4,2,2] => 7
[4,2,1,1] => 4
[4,1,1,1,1] => 4
[3,3,2] => 1
[3,3,1,1] => 5
[3,2,2,1] => 4
[3,2,1,1,1] => 4
[3,1,1,1,1,1] => 1
[2,2,2,2] => 3
[2,2,2,1,1] => 0
[2,2,1,1,1,1] => 2
[2,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1] => 0
[9] => 1
[8,1] => 0
[7,2] => 3
[7,1,1] => 0
[6,3] => 3
[6,2,1] => 6
[6,1,1,1] => 3
[5,4] => 3
[5,3,1] => 6
[5,2,2] => 11
[5,2,1,1] => 9
[5,1,1,1,1] => 7
[4,4,1] => 7
[4,3,2] => 9
[4,3,1,1] => 12
[4,2,2,1] => 12
[4,2,1,1,1] => 9
[4,1,1,1,1,1] => 3
[3,3,3] => 0
[3,3,2,1] => 9
[3,3,1,1,1] => 11
[3,2,2,2] => 7
[3,2,2,1,1] => 6
[3,2,1,1,1,1] => 6
[3,1,1,1,1,1,1] => 0
[2,2,2,2,1] => 3
[2,2,2,1,1,1] => 3
[2,2,1,1,1,1,1] => 3
[2,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1] => 1
[10] => 1
[9,1] => 0
[8,2] => 4
[8,1,1] => 0
[7,3] => 3
[7,2,1] => 8
[7,1,1,1] => 4
[6,4] => 8
[6,3,1] => 13
[6,2,2] => 18
[6,2,1,1] => 14
[6,1,1,1,1] => 10
[5,5] => 0
[5,4,1] => 14
[5,3,2] => 20
[5,3,1,1] => 31
[5,2,2,1] => 26
[5,2,1,1,1] => 22
[5,1,1,1,1,1] => 6
[4,4,2] => 20
[4,4,1,1] => 10
[4,3,3] => 6
[4,3,2,1] => 38
[4,3,1,1,1] => 29
[4,2,2,2] => 22
[4,2,2,1,1] => 22
[4,2,1,1,1,1] => 20
[4,1,1,1,1,1,1] => 2
[3,3,3,1] => 12
[3,3,2,2] => 8
[3,3,2,1,1] => 26
[3,3,1,1,1,1] => 9
[3,2,2,2,1] => 14
[3,2,2,1,1,1] => 16
[3,2,1,1,1,1,1] => 8
[3,1,1,1,1,1,1,1] => 2
[2,2,2,2,2] => 6
[2,2,2,2,1,1] => 2
[2,2,2,1,1,1,1] => 6
[2,2,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1] => 0
[11] => 1
[10,1] => 0
[9,2] => 4
[9,1,1] => 0
[8,3] => 5
[8,2,1] => 11
[8,1,1,1] => 5
[7,4] => 10
[7,3,1] => 20
[7,2,2] => 25
[7,2,1,1] => 24
[7,1,1,1,1] => 15
[6,5] => 6
[6,4,1] => 34
[6,3,2] => 45
[6,3,1,1] => 56
[6,2,2,1] => 50
[6,2,1,1,1] => 40
[6,1,1,1,1,1] => 11
[5,5,1] => 10
[5,4,2] => 50
[5,4,1,1] => 50
[5,3,3] => 20
[5,3,2,1] => 105
[5,3,1,1,1] => 80
[5,2,2,2] => 45
[5,2,2,1,1] => 60
[5,2,1,1,1,1] => 44
[5,1,1,1,1,1,1] => 5
[4,4,3] => 26
[4,4,2,1] => 60
[4,4,1,1,1] => 30
[4,3,3,1] => 54
[4,3,2,2] => 60
[4,3,2,1,1] => 105
[4,3,1,1,1,1] => 50
[4,2,2,2,1] => 55
[4,2,2,1,1,1] => 56
[4,2,1,1,1,1,1] => 30
[4,1,1,1,1,1,1,1] => 5
[3,3,3,2] => 16
[3,3,3,1,1] => 40
[3,3,2,2,1] => 40
[3,3,2,1,1,1] => 45
[3,3,1,1,1,1,1] => 10
[3,2,2,2,2] => 20
[3,2,2,2,1,1] => 29
[3,2,2,1,1,1,1] => 30
[3,2,1,1,1,1,1,1] => 10
[3,1,1,1,1,1,1,1,1] => 5
[2,2,2,2,2,1] => 6
[2,2,2,2,1,1,1] => 5
[2,2,2,1,1,1,1,1] => 5
[2,2,1,1,1,1,1,1,1] => 0
[2,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,1] => 0
[12] => 1
[11,1] => 0
[10,2] => 5
[10,1,1] => 0
[9,3] => 6
[9,2,1] => 13
[9,1,1,1] => 7
[8,4] => 17
[8,3,1] => 32
[8,2,2] => 37
[8,2,1,1] => 34
[8,1,1,1,1] => 19
[7,5] => 9
[7,4,1] => 59
[7,3,2] => 77
[7,3,1,1] => 102
[7,2,2,1] => 86
[7,2,1,1,1] => 72
[7,1,1,1,1,1] => 19
[6,6] => 12
[6,5,1] => 45
[6,4,2] => 128
[6,4,1,1] => 117
[6,3,3] => 56
[6,3,2,1] => 234
[6,3,1,1,1] => 163
[6,2,2,2] => 98
[6,2,2,1,1] => 132
[6,2,1,1,1,1] => 93
[6,1,1,1,1,1,1] => 14
[5,5,2] => 44
[5,5,1,1] => 71
[5,4,3] => 87
[5,4,2,1] => 241
[5,4,1,1,1] => 146
[5,3,3,1] => 177
[5,3,2,2] => 176
[5,3,2,1,1] => 327
[5,3,1,1,1,1] => 144
[5,2,2,2,1] => 146
[5,2,2,1,1,1] => 155
[5,2,1,1,1,1,1] => 72
[5,1,1,1,1,1,1,1] => 14
[4,4,4] => 32
[4,4,3,1] => 117
[4,4,2,2] => 133
[4,4,2,1,1] => 169
[4,4,1,1,1,1] => 90
[4,3,3,2] => 113
[4,3,3,1,1] => 187
[4,3,2,2,1] => 238
[4,3,2,1,1,1] => 234
[4,3,1,1,1,1,1] => 82
[4,2,2,2,2] => 79
[4,2,2,2,1,1] => 117
[4,2,2,1,1,1,1] => 110
[4,2,1,1,1,1,1,1] => 36
[4,1,1,1,1,1,1,1,1] => 10
[3,3,3,3] => 26
[3,3,3,2,1] => 87
[3,3,3,1,1,1] => 66
[3,3,2,2,2] => 44
[3,3,2,2,1,1] => 121
[3,3,2,1,1,1,1] => 74
[3,3,1,1,1,1,1,1] => 29
[3,2,2,2,2,1] => 47
[3,2,2,2,1,1,1] => 59
[3,2,2,1,1,1,1,1] => 37
[3,2,1,1,1,1,1,1,1] => 13
[3,1,1,1,1,1,1,1,1,1] => 2
[2,2,2,2,2,2] => 12
[2,2,2,2,2,1,1] => 7
[2,2,2,2,1,1,1,1] => 14
[2,2,2,1,1,1,1,1,1] => 4
[2,2,1,1,1,1,1,1,1,1] => 3
[2,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,1,1] => 0
[13] => 1
[12,1] => 0
[11,2] => 5
[11,1,1] => 0
[10,3] => 8
[10,2,1] => 17
[10,1,1,1] => 8
[9,4] => 21
[9,3,1] => 45
[9,2,2] => 48
[9,2,1,1] => 50
[9,1,1,1,1] => 27
[8,5] => 22
[8,4,1] => 102
[8,3,2] => 132
[8,3,1,1] => 162
[8,2,2,1] => 140
[8,2,1,1,1] => 113
[8,1,1,1,1,1] => 30
[7,6] => 19
[7,5,1] => 100
[7,4,2] => 246
[7,4,1,1] => 256
[7,3,3] => 115
[7,3,2,1] => 462
[7,3,1,1,1] => 320
[7,2,2,2] => 172
[7,2,2,1,1] => 261
[7,2,1,1,1,1] => 170
[7,1,1,1,1,1,1] => 26
[6,6,1] => 57
[6,5,2] => 198
[6,5,1,1] => 220
[6,4,3] => 255
[6,4,2,1] => 660
[6,4,1,1,1] => 384
[6,3,3,1] => 440
[6,3,2,2] => 462
[6,3,2,1,1] => 792
[6,3,1,1,1,1] => 360
[6,2,2,2,1] => 351
[6,2,2,1,1,1] => 360
[6,2,1,1,1,1,1] => 170
[6,1,1,1,1,1,1,1] => 30
[5,5,3] => 112
[5,5,2,1] => 330
[5,5,1,1,1] => 215
[5,4,4] => 114
[5,4,3,1] => 575
[5,4,2,2] => 510
[5,4,2,1,1] => 810
[5,4,1,1,1,1] => 351
[5,3,3,2] => 423
[5,3,3,1,1] => 656
[5,3,2,2,1] => 810
[5,3,2,1,1,1] => 792
[5,3,1,1,1,1,1] => 261
[5,2,2,2,2] => 215
[5,2,2,2,1,1] => 384
[5,2,2,1,1,1,1] => 320
[5,2,1,1,1,1,1,1] => 113
[5,1,1,1,1,1,1,1,1] => 27
[4,4,4,1] => 132
[4,4,3,2] => 340
[4,4,3,1,1] => 423
[4,4,2,2,1] => 510
[4,4,2,1,1,1] => 462
[4,4,1,1,1,1,1] => 172
[4,3,3,3] => 132
[4,3,3,2,1] => 575
[4,3,3,1,1,1] => 440
[4,3,2,2,2] => 330
[4,3,2,2,1,1] => 660
[4,3,2,1,1,1,1] => 462
[4,3,1,1,1,1,1,1] => 140
[4,2,2,2,2,1] => 220
[4,2,2,2,1,1,1] => 256
[4,2,2,1,1,1,1,1] => 162
[4,2,1,1,1,1,1,1,1] => 50
[4,1,1,1,1,1,1,1,1,1] => 8
[3,3,3,3,1] => 114
[3,3,3,2,2] => 112
[3,3,3,2,1,1] => 255
[3,3,3,1,1,1,1] => 115
[3,3,2,2,2,1] => 198
[3,3,2,2,1,1,1] => 246
[3,3,2,1,1,1,1,1] => 132
[3,3,1,1,1,1,1,1,1] => 48
[3,2,2,2,2,2] => 57
[3,2,2,2,2,1,1] => 100
[3,2,2,2,1,1,1,1] => 102
[3,2,2,1,1,1,1,1,1] => 45
[3,2,1,1,1,1,1,1,1,1] => 17
[3,1,1,1,1,1,1,1,1,1,1] => 0
[2,2,2,2,2,2,1] => 19
[2,2,2,2,2,1,1,1] => 22
[2,2,2,2,1,1,1,1,1] => 21
[2,2,2,1,1,1,1,1,1,1] => 8
[2,2,1,1,1,1,1,1,1,1,1] => 5
[2,1,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[14] => 1
[13,1] => 0
[12,2] => 6
[12,1,1] => 0
[11,3] => 9
[11,2,1] => 20
[11,1,1,1] => 10
[10,4] => 31
[10,3,1] => 64
[10,2,2] => 65
[10,2,1,1] => 66
[10,1,1,1,1] => 34
[9,5] => 32
[9,4,1] => 156
[9,3,2] => 201
[9,3,1,1] => 254
[9,2,2,1] => 214
[9,2,1,1,1] => 176
[9,1,1,1,1,1] => 45
[8,6] => 47
[8,5,1] => 207
[8,4,2] => 462
[8,4,1,1] => 465
[8,3,3] => 221
[8,3,2,1] => 832
[8,3,1,1,1] => 555
[8,2,2,2] => 306
[8,2,2,1,1] => 468
[8,2,1,1,1,1] => 300
[8,1,1,1,1,1,1] => 51
[7,7] => 7
[7,6,1] => 163
[7,5,2] => 483
[7,5,1,1] => 567
[7,4,3] => 572
[7,4,2,1] => 1501
[7,4,1,1,1] => 891
[7,3,3,1] => 972
[7,3,2,2] => 986
[7,3,2,1,1] => 1715
[7,3,1,1,1,1] => 759
[7,2,2,2,1] => 728
[7,2,2,1,1,1] => 752
[7,2,1,1,1,1,1] => 339
[7,1,1,1,1,1,1,1] => 62
[6,6,2] => 264
[6,6,1,1] => 224
[6,5,3] => 520
[6,5,2,1] => 1307
[6,5,1,1,1] => 762
[6,4,4] => 363
[6,4,3,1] => 1770
[6,4,2,2] => 1569
[6,4,2,1,1] => 2433
[6,4,1,1,1,1] => 1050
[6,3,3,2] => 1210
[6,3,3,1,1] => 1768
[6,3,2,2,1] => 2241
[6,3,2,1,1,1] => 2139
[6,3,1,1,1,1,1] => 732
[6,2,2,2,2] => 550
[6,2,2,2,1,1] => 990
[6,2,2,1,1,1,1] => 799
[6,2,1,1,1,1,1,1] => 280
[6,1,1,1,1,1,1,1,1] => 54
[5,5,4] => 192
[5,5,3,1] => 984
[5,5,2,2] => 714
[5,5,2,1,1] => 1285
[5,5,1,1,1,1] => 478
[5,4,4,1] => 747
[5,4,3,2] => 1716
[5,4,3,1,1] => 2288
[5,4,2,2,1] => 2451
[5,4,2,1,1,1] => 2253
[5,4,1,1,1,1,1] => 728
[5,3,3,3] => 555
[5,3,3,2,1] => 2288
[5,3,3,1,1,1] => 1704
[5,3,2,2,2] => 1225
[5,3,2,2,1,1] => 2505
[5,3,2,1,1,1,1] => 1695
[5,3,1,1,1,1,1,1] => 508
[5,2,2,2,2,1] => 750
[5,2,2,2,1,1,1] => 891
[5,2,2,1,1,1,1,1] => 535
[5,2,1,1,1,1,1,1,1] => 176
[5,1,1,1,1,1,1,1,1,1] => 25
[4,4,4,2] => 474
[4,4,4,1,1] => 495
[4,4,3,3] => 394
[4,4,3,2,1] => 1716
[4,4,3,1,1,1] => 1270
[4,4,2,2,2] => 834
[4,4,2,2,1,1] => 1449
[4,4,2,1,1,1,1] => 1034
[4,4,1,1,1,1,1,1] => 258
[4,3,3,3,1] => 767
[4,3,3,2,2] => 924
[4,3,3,2,1,1] => 1810
[4,3,3,1,1,1,1] => 936
[4,3,2,2,2,1] => 1307
[4,3,2,2,1,1,1] => 1509
[4,3,2,1,1,1,1,1] => 832
[4,3,1,1,1,1,1,1,1] => 222
[4,2,2,2,2,2] => 284
[4,2,2,2,2,1,1] => 519
[4,2,2,2,1,1,1,1] => 505
[4,2,2,1,1,1,1,1,1] => 234
[4,2,1,1,1,1,1,1,1,1] => 78
[4,1,1,1,1,1,1,1,1,1,1] => 7
[3,3,3,3,2] => 232
[3,3,3,3,1,1] => 303
[3,3,3,2,2,1] => 540
[3,3,3,2,1,1,1] => 572
[3,3,3,1,1,1,1,1] => 257
[3,3,2,2,2,2] => 204
[3,3,2,2,2,1,1] => 523
[3,3,2,2,1,1,1,1] => 414
[3,3,2,1,1,1,1,1,1] => 213
[3,3,1,1,1,1,1,1,1,1] => 45
[3,2,2,2,2,2,1] => 163
[3,2,2,2,2,1,1,1] => 215
[3,2,2,2,1,1,1,1,1] => 156
[3,2,2,1,1,1,1,1,1,1] => 72
[3,2,1,1,1,1,1,1,1,1,1] => 20
[3,1,1,1,1,1,1,1,1,1,1,1] => 3
[2,2,2,2,2,2,2] => 27
[2,2,2,2,2,2,1,1] => 27
[2,2,2,2,2,1,1,1,1] => 44
[2,2,2,2,1,1,1,1,1,1] => 19
[2,2,2,1,1,1,1,1,1,1,1] => 13
[2,2,1,1,1,1,1,1,1,1,1,1] => 2
[2,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0
[15] => 1
[14,1] => 0
[13,2] => 6
[13,1,1] => 0
[12,3] => 12
[12,2,1] => 24
[12,1,1,1] => 12
[11,4] => 37
[11,3,1] => 84
[11,2,2] => 82
[11,2,1,1] => 90
[11,1,1,1,1] => 44
[10,5] => 55
[10,4,1] => 237
[10,3,2] => 303
[10,3,1,1] => 370
[10,2,2,1] => 315
[10,2,1,1,1] => 254
[10,1,1,1,1,1] => 67
[9,6] => 74
[9,5,1] => 361
[9,4,2] => 769
[9,4,1,1] => 817
[9,3,3] => 384
[9,3,2,1] => 1400
[9,3,1,1,1] => 934
[9,2,2,2] => 491
[9,2,2,1,1] => 790
[9,2,1,1,1,1] => 486
[9,1,1,1,1,1,1] => 83
[8,7] => 47
[8,6,1] => 397
[8,5,2] => 1068
[8,5,1,1] => 1170
[8,4,3] => 1177
[8,4,2,1] => 3034
[8,4,1,1,1] => 1769
[8,3,3,1] => 1911
[8,3,2,2] => 1966
[8,3,2,1,1] => 3337
[8,3,1,1,1,1] => 1485
[8,2,2,2,1] => 1407
[8,2,2,1,1,1] => 1438
[8,2,1,1,1,1,1] => 651
[8,1,1,1,1,1,1,1] => 114
[7,7,1] => 150
[7,6,2] => 851
[7,6,1,1] => 890
[7,5,3] => 1449
[7,5,2,1] => 3604
[7,5,1,1,1] => 2100
[7,4,4] => 888
[7,4,3,1] => 4494
[7,4,2,2] => 3792
[7,4,2,1,1] => 6090
[7,4,1,1,1,1] => 2521
[7,3,3,2] => 2940
[7,3,3,1,1] => 4200
[7,3,2,2,1] => 5274
[7,3,2,1,1,1] => 5004
[7,3,1,1,1,1,1] => 1680
[7,2,2,2,2] => 1210
[7,2,2,2,1,1] => 2301
[7,2,2,1,1,1,1] => 1785
[7,2,1,1,1,1,1,1] => 636
[7,1,1,1,1,1,1,1,1] => 118
[6,6,3] => 752
[6,6,2,1] => 1667
[6,6,1,1,1] => 894
[6,5,4] => 999
[6,5,3,1] => 4290
[6,5,2,2] => 3338
[6,5,2,1,1] => 5405
[6,5,1,1,1,1] => 2122
[6,4,4,1] => 2670
[6,4,3,2] => 5856
[6,4,3,1,1] => 7680
[6,4,2,2,1] => 8140
[6,4,2,1,1,1] => 7371
[6,4,1,1,1,1,1] => 2371
[6,3,3,3] => 1671
[6,3,3,2,1] => 6998
[6,3,3,1,1,1] => 5202
[6,3,2,2,2] => 3738
[6,3,2,2,1,1] => 7371
[6,3,2,1,1,1,1] => 5004
[6,3,1,1,1,1,1,1] => 1438
[6,2,2,2,2,1] => 2122
[6,2,2,2,1,1,1] => 2486
[6,2,2,1,1,1,1,1] => 1485
[6,2,1,1,1,1,1,1,1] => 466
[6,1,1,1,1,1,1,1,1,1] => 67
[5,5,5] => 168
[5,5,4,1] => 1801
[5,5,3,2] => 3165
[5,5,3,1,1] => 4310
[5,5,2,2,1] => 4117
[5,5,2,1,1,1] => 3738
[5,5,1,1,1,1,1] => 1084
[5,4,4,2] => 2756
[5,4,4,1,1] => 3266
[5,4,3,3] => 2483
[5,4,3,2,1] => 9764
[5,4,3,1,1,1] => 7012
[5,4,2,2,2] => 4222
[5,4,2,2,1,1] => 8077
[5,4,2,1,1,1,1] => 5344
[5,4,1,1,1,1,1,1] => 1393
[5,3,3,3,1] => 3406
[5,3,3,2,2] => 4100
[5,3,3,2,1,1] => 7764
[5,3,3,1,1,1,1] => 3990
[5,3,2,2,2,1] => 5405
[5,3,2,2,1,1,1] => 6195
[5,3,2,1,1,1,1,1] => 3337
[5,3,1,1,1,1,1,1,1] => 874
[5,2,2,2,2,2] => 978
[5,2,2,2,2,1,1] => 1995
[5,2,2,2,1,1,1,1] => 1804
[5,2,2,1,1,1,1,1,1] => 864
[5,2,1,1,1,1,1,1,1,1] => 260
[5,1,1,1,1,1,1,1,1,1,1] => 23
[4,4,4,3] => 802
[4,4,4,2,1] => 2518
[4,4,4,1,1,1] => 1671
[4,4,3,3,1] => 2651
[4,4,3,2,2] => 3270
[4,4,3,2,1,1] => 5821
[4,4,3,1,1,1,1] => 3066
[4,4,2,2,2,1] => 3338
[4,4,2,2,1,1,1] => 3680
[4,4,2,1,1,1,1,1] => 1966
[4,4,1,1,1,1,1,1,1] => 421
[4,3,3,3,2] => 1801
[4,3,3,3,1,1] => 2670
[4,3,3,2,2,1] => 4290
[4,3,3,2,1,1,1] => 4515
[4,3,3,1,1,1,1,1] => 1911
[4,3,2,2,2,2] => 1667
[4,3,2,2,2,1,1] => 3604
[4,3,2,2,1,1,1,1] => 3034
[4,3,2,1,1,1,1,1,1] => 1400
[4,3,1,1,1,1,1,1,1,1] => 315
[4,2,2,2,2,2,1] => 911
[4,2,2,2,2,1,1,1] => 1170
[4,2,2,2,1,1,1,1,1] => 852
[4,2,2,1,1,1,1,1,1,1] => 370
[4,2,1,1,1,1,1,1,1,1,1] => 105
[4,1,1,1,1,1,1,1,1,1,1,1] => 12
[3,3,3,3,3] => 238
[3,3,3,3,2,1] => 999
[3,3,3,3,1,1,1] => 783
[3,3,3,2,2,2] => 682
[3,3,3,2,2,1,1] => 1554
[3,3,3,2,1,1,1,1] => 1156
[3,3,3,1,1,1,1,1,1] => 468
[3,3,2,2,2,2,1] => 816
[3,3,2,2,2,1,1,1] => 1068
[3,3,2,2,1,1,1,1,1] => 706
[3,3,2,1,1,1,1,1,1,1] => 303
[3,3,1,1,1,1,1,1,1,1,1] => 47
[3,2,2,2,2,2,2] => 185
[3,2,2,2,2,2,1,1] => 376
[3,2,2,2,2,1,1,1,1] => 396
[3,2,2,2,1,1,1,1,1,1] => 230
[3,2,2,1,1,1,1,1,1,1,1] => 105
[3,2,1,1,1,1,1,1,1,1,1,1] => 23
[3,1,1,1,1,1,1,1,1,1,1,1,1] => 7
[2,2,2,2,2,2,2,1] => 47
[2,2,2,2,2,2,1,1,1] => 60
[2,2,2,2,2,1,1,1,1,1] => 55
[2,2,2,2,1,1,1,1,1,1,1] => 23
[2,2,2,1,1,1,1,1,1,1,1,1] => 12
[2,2,1,1,1,1,1,1,1,1,1,1,1] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0
[16] => 1
[15,1] => 0
[14,2] => 7
[14,1,1] => 0
[13,3] => 13
[13,2,1] => 28
[13,1,1,1] => 14
[12,4] => 51
[12,3,1] => 111
[12,2,2] => 105
[12,2,1,1] => 114
[12,1,1,1,1] => 54
[11,5] => 75
[11,4,1] => 336
[11,3,2] => 429
[11,3,1,1] => 531
[11,2,2,1] => 446
[11,2,1,1,1] => 364
[11,1,1,1,1,1] => 93
[10,6] => 133
[10,5,1] => 611
[10,4,2] => 1251
[10,4,1,1] => 1309
[10,3,3] => 630
[10,3,2,1] => 2240
[10,3,1,1,1] => 1464
[10,2,2,2] => 779
[10,2,2,1,1] => 1260
[10,2,1,1,1,1] => 770
[10,1,1,1,1,1,1] => 138
[9,7] => 95
[9,6,1] => 780
[9,5,2] => 2023
[9,5,1,1] => 2256
[9,4,3] => 2184
[9,4,2,1] => 5630
[9,4,1,1,1] => 3300
[9,3,3,1] => 3514
[9,3,2,2] => 3561
[9,3,2,1,1] => 6076
[9,3,1,1,1,1] => 2670
[9,2,2,2,1] => 2520
[9,2,2,1,1,1] => 2576
[9,2,1,1,1,1,1] => 1144
[9,1,1,1,1,1,1,1] => 202
[8,8] => 65
[8,7,1] => 555
[8,6,2] => 2222
[8,6,1,1] => 2245
[8,5,3] => 3451
[8,5,2,1] => 8320
[8,5,1,1,1] => 4729
[8,4,4] => 1980
[8,4,3,1] => 9913
[8,4,2,2] => 8344
[8,4,2,1,1] => 13293
[8,4,1,1,1,1] => 5473
[8,3,3,2] => 6348
[8,3,3,1,1] => 8890
[8,3,2,2,1] => 11231
[8,3,2,1,1,1] => 10560
[8,3,1,1,1,1,1] => 3572
[8,2,2,2,2] => 2503
[8,2,2,2,1,1] => 4774
[8,2,2,1,1,1,1] => 3650
[8,2,1,1,1,1,1,1] => 1294
[8,1,1,1,1,1,1,1,1] => 220
[7,7,2] => 880
[7,7,1,1] => 1050
[7,6,3] => 2860
[7,6,2,1] => 6568
[7,6,1,1,1] => 3640
[7,5,4] => 3088
[7,5,3,1] => 13071
[7,5,2,2] => 9912
[7,5,2,1,1] => 16183
[7,5,1,1,1,1] => 6213
[7,4,4,1] => 7497
[7,4,3,2] => 16016
[7,4,3,1,1] => 21060
[7,4,2,2,1] => 21840
[7,4,2,1,1,1] => 19709
[7,4,1,1,1,1,1] => 6160
[7,3,3,3] => 4418
[7,3,3,2,1] => 18200
[7,3,3,1,1,1] => 13380
[7,3,2,2,2] => 9506
[7,3,2,2,1,1] => 18813
[7,3,2,1,1,1,1] => 12613
[7,3,1,1,1,1,1,1] => 3590
[7,2,2,2,2,1] => 5253
[7,2,2,2,1,1,1] => 6160
[7,2,2,1,1,1,1,1] => 3617
[7,2,1,1,1,1,1,1,1] => 1144
[7,1,1,1,1,1,1,1,1,1] => 155
[6,6,4] => 1705
[6,6,3,1] => 6195
[6,6,2,2] => 4870
[6,6,2,1,1] => 7392
[6,6,1,1,1,1] => 2940
[6,5,5] => 1070
[6,5,4,1] => 9152
[6,5,3,2] => 15583
[6,5,3,1,1] => 20349
[6,5,2,2,1] => 19685
[6,5,2,1,1,1] => 17472
[6,5,1,1,1,1,1] => 5225
[6,4,4,2] => 10703
[6,4,4,1,1] => 12688
[6,4,3,3] => 9267
[6,4,3,2,1] => 36036
[6,4,3,1,1,1] => 25655
[6,4,2,2,2] => 15246
[6,4,2,2,1,1] => 28846
[6,4,2,1,1,1,1] => 18883
[6,4,1,1,1,1,1,1] => 4802
[6,3,3,3,1] => 11340
[6,3,3,2,2] => 13832
[6,3,3,2,1,1] => 25690
[6,3,3,1,1,1,1] => 13275
[6,3,2,2,2,1] => 17472
[6,3,2,2,1,1,1] => 19744
[6,3,2,1,1,1,1,1] => 10560
[6,3,1,1,1,1,1,1,1] => 2608
[6,2,2,2,2,2] => 2982
[6,2,2,2,2,1,1] => 6143
[6,2,2,2,1,1,1,1] => 5473
[6,2,2,1,1,1,1,1,1] => 2625
[6,2,1,1,1,1,1,1,1,1] => 763
[6,1,1,1,1,1,1,1,1,1,1] => 83
[5,5,5,1] => 1898
[5,5,4,2] => 7122
[5,5,4,1,1] => 8855
[5,5,3,3] => 5485
[5,5,3,2,1] => 20020
[5,5,3,1,1,1] => 13944
[5,5,2,2,2] => 7643
[5,5,2,2,1,1] => 15162
[5,5,2,1,1,1,1] => 9478
[5,5,1,1,1,1,1,1] => 2433
[5,4,4,3] => 5608
[5,4,4,2,1] => 17160
[5,4,4,1,1,1] => 11277
[5,4,3,3,1] => 17160
[5,4,3,2,2] => 20020
[5,4,3,2,1,1] => 36036
[5,4,3,1,1,1,1] => 18200
[5,4,2,2,2,1] => 19706
[5,4,2,2,1,1,1] => 21840
[5,4,2,1,1,1,1,1] => 11259
[5,4,1,1,1,1,1,1,1] => 2520
[5,3,3,3,2] => 8820
[5,3,3,3,1,1] => 12800
[5,3,3,2,2,1] => 20286
[5,3,3,2,1,1,1] => 21060
[5,3,3,1,1,1,1,1] => 8785
[5,3,2,2,2,2] => 7434
[5,3,2,2,2,1,1] => 16183
[5,3,2,2,1,1,1,1] => 13363
[5,3,2,1,1,1,1,1,1] => 6083
[5,3,1,1,1,1,1,1,1,1] => 1305
[5,2,2,2,2,2,1] => 3640
[5,2,2,2,2,1,1,1] => 4694
[5,2,2,2,1,1,1,1,1] => 3300
[5,2,2,1,1,1,1,1,1,1] => 1432
[5,2,1,1,1,1,1,1,1,1,1] => 364
[5,1,1,1,1,1,1,1,1,1,1,1] => 43
[4,4,4,4] => 831
[4,4,4,3,1] => 5573
[4,4,4,2,2] => 5555
[4,4,4,2,1,1] => 9267
[4,4,4,1,1,1,1] => 4481
[4,4,3,3,2] => 7122
[4,4,3,3,1,1] => 10633
[4,4,3,2,2,1] => 15618
[4,4,3,2,1,1,1] => 16016
[4,4,3,1,1,1,1,1] => 6411
[4,4,2,2,2,2] => 4870
[4,4,2,2,2,1,1] => 9856
[4,4,2,2,1,1,1,1] => 8288
[4,4,2,1,1,1,1,1,1] => 3526
[4,4,1,1,1,1,1,1,1,1] => 744
[4,3,3,3,3] => 1933
[4,3,3,3,2,1] => 9152
[4,3,3,3,1,1,1] => 7455
[4,3,3,2,2,2] => 6160
[4,3,3,2,2,1,1] => 13134
[4,3,3,2,1,1,1,1] => 9913
[4,3,3,1,1,1,1,1,1] => 3556
[4,3,2,2,2,2,1] => 6561
[4,3,2,2,2,1,1,1] => 8320
[4,3,2,2,1,1,1,1,1] => 5616
[4,3,2,1,1,1,1,1,1,1] => 2240
[4,3,1,1,1,1,1,1,1,1,1] => 436
[4,2,2,2,2,2,2] => 1078
[4,2,2,2,2,2,1,1] => 2245
[4,2,2,2,2,1,1,1,1] => 2291
[4,2,2,2,1,1,1,1,1,1] => 1323
[4,2,2,1,1,1,1,1,1,1,1] => 549
[4,2,1,1,1,1,1,1,1,1,1,1] => 121
[4,1,1,1,1,1,1,1,1,1,1,1,1] => 18
[3,3,3,3,3,1] => 1105
[3,3,3,3,2,2] => 1670
[3,3,3,3,2,1,1] => 3088
[3,3,3,3,1,1,1,1] => 1917
[3,3,3,2,2,2,1] => 2860
[3,3,3,2,2,1,1,1] => 3493
[3,3,3,2,1,1,1,1,1] => 2184
[3,3,3,1,1,1,1,1,1,1] => 672
[3,3,2,2,2,2,2] => 880
[3,3,2,2,2,2,1,1] => 2194
[3,3,2,2,2,1,1,1,1] => 2009
[3,3,2,2,1,1,1,1,1,1] => 1216
[3,3,2,1,1,1,1,1,1,1,1] => 422
[3,3,1,1,1,1,1,1,1,1,1,1] => 87
[3,2,2,2,2,2,2,1] => 562
[3,2,2,2,2,2,1,1,1] => 780
[3,2,2,2,2,1,1,1,1,1] => 625
[3,2,2,2,1,1,1,1,1,1,1] => 336
[3,2,2,1,1,1,1,1,1,1,1,1] => 121
[3,2,1,1,1,1,1,1,1,1,1,1,1] => 28
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 3
[2,2,2,2,2,2,2,2] => 65
[2,2,2,2,2,2,2,1,1] => 88
[2,2,2,2,2,2,1,1,1,1] => 126
[2,2,2,2,2,1,1,1,1,1,1] => 68
[2,2,2,2,1,1,1,1,1,1,1,1] => 44
[2,2,2,1,1,1,1,1,1,1,1,1,1] => 10
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 4
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0
[17] => 1
[16,1] => 0
[15,2] => 7
[15,1,1] => 0
[14,3] => 16
[14,2,1] => 33
[14,1,1,1] => 16
[13,4] => 60
[13,3,1] => 140
[13,2,2] => 128
[13,2,1,1] => 147
[13,1,1,1,1] => 68
[12,5] => 112
[12,4,1] => 472
[12,3,2] => 600
[12,3,1,1] => 728
[12,2,2,1] => 616
[12,2,1,1,1] => 497
[12,1,1,1,1,1] => 128
[11,6] => 196
[11,5,1] => 952
[11,4,2] => 1904
[11,4,1,1] => 2048
[11,3,3] => 980
[11,3,2,1] => 3432
[11,3,1,1,1] => 2240
[11,2,2,2] => 1160
[11,2,2,1,1] => 1932
[11,2,1,1,1,1] => 1155
[11,1,1,1,1,1,1] => 208
[10,7] => 208
[10,6,1] => 1444
[10,5,2] => 3640
[10,5,1,1] => 3960
[10,4,3] => 3836
[10,4,2,1] => 9800
[10,4,1,1,1] => 5696
[10,3,3,1] => 6048
[10,3,2,2] => 6160
[10,3,2,1,1] => 10400
[10,3,1,1,1,1] => 4576
[10,2,2,2,1] => 4300
[10,2,2,1,1,1] => 4368
[10,2,1,1,1,1,1] => 1941
[10,1,1,1,1,1,1,1] => 336
[9,8] => 150
[9,7,1] => 1330
[9,6,2] => 4736
[9,6,1,1] => 4970
[9,5,3] => 7168
[9,5,2,1] => 17160
[9,5,1,1,1] => 9730
[9,4,4] => 3948
[9,4,3,1] => 19992
[9,4,2,2] => 16520
[9,4,2,1,1] => 26604
[9,4,1,1,1,1] => 10770
[9,3,3,2] => 12600
[9,3,3,1,1] => 17472
[9,3,2,2,1] => 21980
[9,3,2,1,1,1] => 20592
[9,3,1,1,1,1,1] => 6902
[9,2,2,2,2] => 4760
[9,2,2,2,1,1] => 9280
[9,2,2,1,1,1,1] => 6976
[9,2,1,1,1,1,1,1] => 2485
[9,1,1,1,1,1,1,1,1] => 414
[8,8,1] => 600
[8,7,2] => 3432
[8,7,1,1] => 3640
[8,6,3] => 8064
[8,6,2,1] => 18200
[8,6,1,1,1] => 9940
[8,5,4] => 8008
[8,5,3,1] => 32760
[8,5,2,2] => 24960
[8,5,2,1,1] => 40040
[8,5,1,1,1,1] => 15400
[8,4,4,1] => 18200
[8,4,3,2] => 38248
[8,4,3,1,1] => 49980
[8,4,2,2,1] => 51536
[8,4,2,1,1,1] => 46200
[8,4,1,1,1,1,1] => 14360
[8,3,3,3] => 10192
[8,3,3,2,1] => 42028
[8,3,3,1,1,1] => 30800
[8,3,2,2,2] => 21840
[8,3,2,2,1,1] => 42768
[8,3,2,1,1,1,1] => 28600
[8,3,1,1,1,1,1,1] => 8008
[8,2,2,2,2,1] => 11760
[8,2,2,2,1,1,1] => 13696
[8,2,2,1,1,1,1,1] => 8008
[8,2,1,1,1,1,1,1,1] => 2485
[8,1,1,1,1,1,1,1,1,1] => 336
[7,7,3] => 3470
[7,7,2,1] => 8008
[7,7,1,1,1] => 4480
[7,6,4] => 7220
[7,6,3,1] => 27006
[7,6,2,2] => 20104
[7,6,2,1,1] => 31780
[7,6,1,1,1,1] => 12040
[7,5,5] => 3864
[7,5,4,1] => 30888
[7,5,3,2] => 51312
[7,5,3,1,1] => 66654
[7,5,2,2,1] => 63560
[7,5,2,1,1,1] => 56056
[7,5,1,1,1,1,1] => 16464
[7,4,4,2] => 32256
[7,4,4,1,1] => 38720
[7,4,3,3] => 27944
[7,4,3,2,1] => 106496
[7,4,3,1,1,1] => 75110
[7,4,2,2,2] => 43904
[7,4,2,2,1,1] => 83944
[7,4,2,1,1,1,1] => 54040
[7,4,1,1,1,1,1,1] => 13696
[7,3,3,3,1] => 32060
[7,3,3,2,2] => 38976
[7,3,3,2,1,1] => 71640
[7,3,3,1,1,1,1] => 36810
[7,3,2,2,2,1] => 48048
[7,3,2,2,1,1,1] => 54040
[7,3,2,1,1,1,1,1] => 28600
[7,3,1,1,1,1,1,1,1] => 6976
[7,2,2,2,2,2] => 7784
[7,2,2,2,2,1,1] => 16464
[7,2,2,2,1,1,1,1] => 14360
[7,2,2,1,1,1,1,1,1] => 6902
[7,2,1,1,1,1,1,1,1,1] => 1941
[7,1,1,1,1,1,1,1,1,1,1] => 208
[6,6,5] => 2644
[6,6,4,1] => 16016
[6,6,3,2] => 25130
[6,6,3,1,1] => 31808
[6,6,2,2,1] => 30156
[6,6,2,1,1,1] => 26208
[6,6,1,1,1,1,1] => 7784
[6,5,5,1] => 11440
[6,5,4,2] => 40040
[6,5,4,1,1] => 48048
[6,5,3,3] => 28600
[6,5,3,2,1] => 105098
[6,5,3,1,1,1] => 72800
[6,5,2,2,2] => 40040
[6,5,2,2,1,1] => 76440
[6,5,2,1,1,1,1] => 48048
[6,5,1,1,1,1,1,1] => 11760
[6,4,4,3] => 24024
[6,4,4,2,1] => 72128
[6,4,4,1,1,1] => 46800
[6,4,3,3,1] => 69372
[6,4,3,2,2] => 80192
[6,4,3,2,1,1] => 143290
[6,4,3,1,1,1,1] => 71640
[6,4,2,2,2,1] => 76440
[6,4,2,2,1,1,1] => 83944
[6,4,2,1,1,1,1,1] => 42768
[6,4,1,1,1,1,1,1,1] => 9280
[6,3,3,3,2] => 32032
[6,3,3,3,1,1] => 46800
[6,3,3,2,2,1] => 72800
[6,3,3,2,1,1,1] => 75110
[6,3,3,1,1,1,1,1] => 30800
[6,3,2,2,2,2] => 26208
[6,3,2,2,2,1,1] => 56056
[6,3,2,2,1,1,1,1] => 46200
[6,3,2,1,1,1,1,1,1] => 20592
[6,3,1,1,1,1,1,1,1,1] => 4368
[6,2,2,2,2,2,1] => 12040
[6,2,2,2,2,1,1,1] => 15400
[6,2,2,2,1,1,1,1,1] => 10770
[6,2,2,1,1,1,1,1,1,1] => 4576
[6,2,1,1,1,1,1,1,1,1,1] => 1155
[6,1,1,1,1,1,1,1,1,1,1,1] => 128
[5,5,5,2] => 8440
[5,5,5,1,1] => 10220
[5,5,4,3] => 17160
[5,5,4,2,1] => 49980
[5,5,4,1,1,1] => 32032
[5,5,3,3,1] => 40320
[5,5,3,2,2] => 44730
[5,5,3,2,1,1] => 80192
[5,5,3,1,1,1,1] => 38976
[5,5,2,2,2,1] => 40040
[5,5,2,2,1,1,1] => 43904
[5,5,2,1,1,1,1,1] => 21840
[5,5,1,1,1,1,1,1,1] => 4760
[5,4,4,4] => 6076
[5,4,4,3,1] => 42760
[5,4,4,2,2] => 40320
[5,4,4,2,1,1] => 69372
[5,4,4,1,1,1,1] => 32060
[5,4,3,3,2] => 49980
[5,4,3,3,1,1] => 72128
[5,4,3,2,2,1] => 105098
[5,4,3,2,1,1,1] => 106496
[5,4,3,1,1,1,1,1] => 42028
[5,4,2,2,2,2] => 30156
[5,4,2,2,2,1,1] => 63560
[5,4,2,2,1,1,1,1] => 51536
[5,4,2,1,1,1,1,1,1] => 21980
[5,4,1,1,1,1,1,1,1,1] => 4300
[5,3,3,3,3] => 10220
[5,3,3,3,2,1] => 48048
[5,3,3,3,1,1,1] => 38720
[5,3,3,2,2,2] => 31808
[5,3,3,2,2,1,1] => 66654
[5,3,3,2,1,1,1,1] => 49980
[5,3,3,1,1,1,1,1,1] => 17472
[5,3,2,2,2,2,1] => 31780
[5,3,2,2,2,1,1,1] => 40040
[5,3,2,2,1,1,1,1,1] => 26604
[5,3,2,1,1,1,1,1,1,1] => 10400
[5,3,1,1,1,1,1,1,1,1,1] => 1932
[5,2,2,2,2,2,2] => 4480
[5,2,2,2,2,2,1,1] => 9940
[5,2,2,2,2,1,1,1,1] => 9730
[5,2,2,2,1,1,1,1,1,1] => 5696
[5,2,2,1,1,1,1,1,1,1,1] => 2240
[5,2,1,1,1,1,1,1,1,1,1,1] => 497
[5,1,1,1,1,1,1,1,1,1,1,1,1] => 68
[4,4,4,4,1] => 6076
[4,4,4,3,2] => 17160
[4,4,4,3,1,1] => 24024
[4,4,4,2,2,1] => 28600
[4,4,4,2,1,1,1] => 27944
[4,4,4,1,1,1,1,1] => 10192
[4,4,3,3,3] => 8440
[4,4,3,3,2,1] => 40040
[4,4,3,3,1,1,1] => 32256
[4,4,3,2,2,2] => 25130
[4,4,3,2,2,1,1] => 51312
[4,4,3,2,1,1,1,1] => 38248
[4,4,3,1,1,1,1,1,1] => 12600
[4,4,2,2,2,2,1] => 20104
[4,4,2,2,2,1,1,1] => 24960
[4,4,2,2,1,1,1,1,1] => 16520
[4,4,2,1,1,1,1,1,1,1] => 6160
[4,4,1,1,1,1,1,1,1,1,1] => 1160
[4,3,3,3,3,1] => 11440
[4,3,3,3,2,2] => 16016
[4,3,3,3,2,1,1] => 30888
[4,3,3,3,1,1,1,1] => 18200
[4,3,3,2,2,2,1] => 27006
[4,3,3,2,2,1,1,1] => 32760
[4,3,3,2,1,1,1,1,1] => 19992
[4,3,3,1,1,1,1,1,1,1] => 6048
[4,3,2,2,2,2,2] => 8008
[4,3,2,2,2,2,1,1] => 18200
[4,3,2,2,2,1,1,1,1] => 17160
[4,3,2,2,1,1,1,1,1,1] => 9800
[4,3,2,1,1,1,1,1,1,1,1] => 3432
[4,3,1,1,1,1,1,1,1,1,1,1] => 616
[4,2,2,2,2,2,2,1] => 3640
[4,2,2,2,2,2,1,1,1] => 4970
[4,2,2,2,2,1,1,1,1,1] => 3960
[4,2,2,2,1,1,1,1,1,1,1] => 2048
[4,2,2,1,1,1,1,1,1,1,1,1] => 728
[4,2,1,1,1,1,1,1,1,1,1,1,1] => 147
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 16
[3,3,3,3,3,2] => 2644
[3,3,3,3,3,1,1] => 3864
[3,3,3,3,2,2,1] => 7220
[3,3,3,3,2,1,1,1] => 8008
[3,3,3,3,1,1,1,1,1] => 3948
[3,3,3,2,2,2,2] => 3470
[3,3,3,2,2,2,1,1] => 8064
[3,3,3,2,2,1,1,1,1] => 7168
[3,3,3,2,1,1,1,1,1,1] => 3836
[3,3,3,1,1,1,1,1,1,1,1] => 980
[3,3,2,2,2,2,2,1] => 3432
[3,3,2,2,2,2,1,1,1] => 4736
[3,3,2,2,2,1,1,1,1,1] => 3640
[3,3,2,2,1,1,1,1,1,1,1] => 1904
[3,3,2,1,1,1,1,1,1,1,1,1] => 600
[3,3,1,1,1,1,1,1,1,1,1,1,1] => 128
[3,2,2,2,2,2,2,2] => 600
[3,2,2,2,2,2,2,1,1] => 1330
[3,2,2,2,2,2,1,1,1,1] => 1444
[3,2,2,2,2,1,1,1,1,1,1] => 952
[3,2,2,2,1,1,1,1,1,1,1,1] => 472
[3,2,2,1,1,1,1,1,1,1,1,1,1] => 140
-----------------------------------------------------------------------------
Created: Sep 27, 2020 at 00:55 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Sep 27, 2020 at 00:55 by Martin Rubey