*****************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St001814
-----------------------------------------------------------------------------
Collection: Integer partitions
-----------------------------------------------------------------------------
Description: The number of partitions interlacing the given partition.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(la):
la = list(la) + [0]
return prod(la[i] - la[i+1] + 1 for i in range(len(la)-1))
-----------------------------------------------------------------------------
Statistic values:
[] => 1
[1] => 2
[2] => 3
[1,1] => 2
[3] => 4
[2,1] => 4
[1,1,1] => 2
[4] => 5
[3,1] => 6
[2,2] => 3
[2,1,1] => 4
[1,1,1,1] => 2
[5] => 6
[4,1] => 8
[3,2] => 6
[3,1,1] => 6
[2,2,1] => 4
[2,1,1,1] => 4
[1,1,1,1,1] => 2
[6] => 7
[5,1] => 10
[4,2] => 9
[4,1,1] => 8
[3,3] => 4
[3,2,1] => 8
[3,1,1,1] => 6
[2,2,2] => 3
[2,2,1,1] => 4
[2,1,1,1,1] => 4
[1,1,1,1,1,1] => 2
[7] => 8
[6,1] => 12
[5,2] => 12
[5,1,1] => 10
[4,3] => 8
[4,2,1] => 12
[4,1,1,1] => 8
[3,3,1] => 6
[3,2,2] => 6
[3,2,1,1] => 8
[3,1,1,1,1] => 6
[2,2,2,1] => 4
[2,2,1,1,1] => 4
[2,1,1,1,1,1] => 4
[1,1,1,1,1,1,1] => 2
[8] => 9
[7,1] => 14
[6,2] => 15
[6,1,1] => 12
[5,3] => 12
[5,2,1] => 16
[5,1,1,1] => 10
[4,4] => 5
[4,3,1] => 12
[4,2,2] => 9
[4,2,1,1] => 12
[4,1,1,1,1] => 8
[3,3,2] => 6
[3,3,1,1] => 6
[3,2,2,1] => 8
[3,2,1,1,1] => 8
[3,1,1,1,1,1] => 6
[2,2,2,2] => 3
[2,2,2,1,1] => 4
[2,2,1,1,1,1] => 4
[2,1,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1] => 2
[9] => 10
[8,1] => 16
[7,2] => 18
[7,1,1] => 14
[6,3] => 16
[6,2,1] => 20
[6,1,1,1] => 12
[5,4] => 10
[5,3,1] => 18
[5,2,2] => 12
[5,2,1,1] => 16
[5,1,1,1,1] => 10
[4,4,1] => 8
[4,3,2] => 12
[4,3,1,1] => 12
[4,2,2,1] => 12
[4,2,1,1,1] => 12
[4,1,1,1,1,1] => 8
[3,3,3] => 4
[3,3,2,1] => 8
[3,3,1,1,1] => 6
[3,2,2,2] => 6
[3,2,2,1,1] => 8
[3,2,1,1,1,1] => 8
[3,1,1,1,1,1,1] => 6
[2,2,2,2,1] => 4
[2,2,2,1,1,1] => 4
[2,2,1,1,1,1,1] => 4
[2,1,1,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1,1] => 2
[10] => 11
[9,1] => 18
[8,2] => 21
[8,1,1] => 16
[7,3] => 20
[7,2,1] => 24
[7,1,1,1] => 14
[6,4] => 15
[6,3,1] => 24
[6,2,2] => 15
[6,2,1,1] => 20
[6,1,1,1,1] => 12
[5,5] => 6
[5,4,1] => 16
[5,3,2] => 18
[5,3,1,1] => 18
[5,2,2,1] => 16
[5,2,1,1,1] => 16
[5,1,1,1,1,1] => 10
[4,4,2] => 9
[4,4,1,1] => 8
[4,3,3] => 8
[4,3,2,1] => 16
[4,3,1,1,1] => 12
[4,2,2,2] => 9
[4,2,2,1,1] => 12
[4,2,1,1,1,1] => 12
[4,1,1,1,1,1,1] => 8
[3,3,3,1] => 6
[3,3,2,2] => 6
[3,3,2,1,1] => 8
[3,3,1,1,1,1] => 6
[3,2,2,2,1] => 8
[3,2,2,1,1,1] => 8
[3,2,1,1,1,1,1] => 8
[3,1,1,1,1,1,1,1] => 6
[2,2,2,2,2] => 3
[2,2,2,2,1,1] => 4
[2,2,2,1,1,1,1] => 4
[2,2,1,1,1,1,1,1] => 4
[2,1,1,1,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1,1,1] => 2
[11] => 12
[10,1] => 20
[9,1,1] => 18
[8,3] => 24
[8,2,1] => 28
[8,1,1,1] => 16
[7,4] => 20
[7,2,2] => 18
[7,1,1,1,1] => 14
[6,5] => 12
[6,4,1] => 24
[6,3,2] => 24
[6,3,1,1] => 24
[6,2,2,1] => 20
[6,1,1,1,1,1] => 12
[5,5,1] => 10
[5,4,2] => 18
[5,4,1,1] => 16
[5,3,3] => 12
[5,3,2,1] => 24
[5,3,1,1,1] => 18
[5,2,2,2] => 12
[5,2,2,1,1] => 16
[5,2,1,1,1,1] => 16
[5,1,1,1,1,1,1] => 10
[4,4,3] => 8
[4,4,2,1] => 12
[4,4,1,1,1] => 8
[4,3,3,1] => 12
[4,3,2,2] => 12
[4,3,2,1,1] => 16
[4,3,1,1,1,1] => 12
[4,2,2,2,1] => 12
[4,1,1,1,1,1,1,1] => 8
[3,3,3,2] => 6
[3,3,3,1,1] => 6
[3,3,2,2,1] => 8
[3,3,1,1,1,1,1] => 6
[3,2,2,2,2] => 6
[3,2,2,2,1,1] => 8
[3,2,2,1,1,1,1] => 8
[3,2,1,1,1,1,1,1] => 8
[3,1,1,1,1,1,1,1,1] => 6
[2,2,2,2,2,1] => 4
[2,2,2,2,1,1,1] => 4
[2,2,2,1,1,1,1,1] => 4
[2,2,1,1,1,1,1,1,1] => 4
[2,1,1,1,1,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1,1,1,1] => 2
[12] => 13
[11,1] => 22
[10,2] => 27
[10,1,1] => 20
[9,3] => 28
[8,4] => 25
[8,3,1] => 36
[8,2,2] => 21
[8,2,1,1] => 28
[8,1,1,1,1] => 16
[7,5] => 18
[7,4,1] => 32
[6,6] => 7
[6,5,1] => 20
[6,4,2] => 27
[6,4,1,1] => 24
[6,3,3] => 16
[6,3,1,1,1] => 24
[6,2,2,2] => 15
[6,2,2,1,1] => 20
[6,2,1,1,1,1] => 20
[6,1,1,1,1,1,1] => 12
[5,5,2] => 12
[5,5,1,1] => 10
[5,4,3] => 16
[5,4,2,1] => 24
[5,4,1,1,1] => 16
[5,3,3,1] => 18
[5,3,2,2] => 18
[5,3,2,1,1] => 24
[5,3,1,1,1,1] => 18
[5,2,2,2,1] => 16
[5,2,2,1,1,1] => 16
[5,2,1,1,1,1,1] => 16
[5,1,1,1,1,1,1,1] => 10
[4,4,4] => 5
[4,4,3,1] => 12
[4,4,2,2] => 9
[4,4,2,1,1] => 12
[4,3,3,2] => 12
[4,3,3,1,1] => 12
[4,3,2,2,1] => 16
[4,3,1,1,1,1,1] => 12
[3,3,3,3] => 4
[3,3,3,2,1] => 8
[3,3,2,2,2] => 6
[3,3,2,2,1,1] => 8
[3,3,1,1,1,1,1,1] => 6
[3,2,2,2,2,1] => 8
[3,2,2,1,1,1,1,1] => 8
[2,2,2,2,2,2] => 3
[2,2,2,2,2,1,1] => 4
[2,2,2,2,1,1,1,1] => 4
[2,2,1,1,1,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1,1,1,1,1] => 2
[13] => 14
[12,1] => 24
[10,3] => 32
[9,2,2] => 24
[8,5] => 24
[8,4,1] => 40
[8,3,2] => 36
[8,3,1,1] => 36
[7,6] => 14
[7,5,1] => 30
[7,4,2] => 36
[7,3,3] => 20
[6,6,1] => 12
[6,5,2] => 24
[6,5,1,1] => 20
[6,4,3] => 24
[6,4,2,1] => 36
[6,3,2,2] => 24
[6,3,1,1,1,1] => 24
[6,2,2,1,1,1] => 20
[6,1,1,1,1,1,1,1] => 12
[5,5,3] => 12
[5,4,4] => 10
[5,4,3,1] => 24
[5,4,2,2] => 18
[5,4,2,1,1] => 24
[5,4,1,1,1,1] => 16
[5,3,3,2] => 18
[5,3,3,1,1] => 18
[5,3,2,2,1] => 24
[5,3,2,1,1,1] => 24
[5,3,1,1,1,1,1] => 18
[5,2,2,2,1,1] => 16
[5,2,2,1,1,1,1] => 16
[5,2,1,1,1,1,1,1] => 16
[4,4,4,1] => 8
[4,4,3,2] => 12
[4,4,3,1,1] => 12
[4,4,2,2,1] => 12
[4,3,3,3] => 8
[4,3,3,2,1] => 16
[3,3,3,3,1] => 6
[3,3,3,2,2] => 6
[3,3,2,2,2,1] => 8
[3,3,2,1,1,1,1,1] => 8
[3,2,2,2,2,2] => 6
[3,2,2,2,2,1,1] => 8
[3,1,1,1,1,1,1,1,1,1,1] => 6
[2,2,2,2,2,2,1] => 4
[2,2,2,2,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1,1,1,1,1,1] => 2
[14] => 15
[13,1] => 26
[12,2] => 33
[12,1,1] => 24
[9,5] => 30
[8,6] => 21
[8,5,1] => 40
[8,4,2] => 45
[8,3,1,1,1] => 36
[7,7] => 8
[7,5,2] => 36
[7,4,3] => 32
[6,6,2] => 15
[6,6,1,1] => 12
[6,5,3] => 24
[6,5,1,1,1] => 20
[6,4,4] => 15
[6,4,2,2] => 27
[6,2,2,2,2] => 15
[6,1,1,1,1,1,1,1,1] => 12
[5,5,4] => 10
[5,5,1,1,1,1] => 10
[5,4,3,2] => 24
[5,4,3,1,1] => 24
[5,4,2,2,1] => 24
[5,4,2,1,1,1] => 24
[5,4,1,1,1,1,1] => 16
[5,3,3,3] => 12
[5,3,3,2,1] => 24
[5,3,2,2,2] => 18
[5,3,2,2,1,1] => 24
[5,3,2,1,1,1,1] => 24
[5,3,1,1,1,1,1,1] => 18
[5,2,2,2,2,1] => 16
[5,2,2,1,1,1,1,1] => 16
[4,4,4,2] => 9
[4,4,4,1,1] => 8
[4,4,3,3] => 8
[4,4,3,2,1] => 16
[4,3,2,2,2,1] => 16
[3,3,3,3,2] => 6
[3,3,3,3,1,1] => 6
[3,3,3,2,2,1] => 8
[3,3,2,2,2,2] => 6
[3,3,1,1,1,1,1,1,1,1] => 6
[3,2,2,2,2,1,1,1] => 8
[2,2,2,2,2,2,2] => 3
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2
[15] => 16
[14,1] => 28
[12,3] => 40
[11,2,2] => 30
[9,6] => 28
[9,5,1] => 50
[8,7] => 16
[8,5,2] => 48
[7,5,3] => 36
[6,6,3] => 16
[6,5,4] => 20
[6,5,1,1,1,1] => 20
[6,4,3,1,1] => 36
[6,3,3,3] => 16
[6,3,1,1,1,1,1,1] => 24
[6,2,2,2,2,1] => 20
[5,5,5] => 6
[5,4,3,3] => 16
[5,4,3,2,1] => 32
[5,4,3,1,1,1] => 24
[5,3,2,2,2,1] => 24
[5,3,2,2,1,1,1] => 24
[5,3,1,1,1,1,1,1,1] => 18
[4,4,4,3] => 8
[4,4,4,1,1,1] => 8
[4,3,3,3,2] => 12
[3,3,3,3,3] => 4
[3,3,3,3,2,1] => 8
[3,3,3,2,2,2] => 6
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2
[16] => 17
[15,1] => 30
[12,4] => 45
[12,1,1,1,1] => 24
[10,6] => 35
[8,8] => 9
[8,6,2] => 45
[8,5,3] => 48
[7,6,3] => 32
[7,5,3,1] => 54
[6,6,4] => 15
[6,6,2,2] => 15
[6,5,5] => 12
[6,4,3,3] => 24
[5,5,3,3] => 12
[5,5,2,2,2] => 12
[5,4,4,3] => 16
[5,4,3,2,1,1] => 32
[5,4,2,2,2,1] => 24
[4,4,4,4] => 5
[4,4,4,2,2] => 9
[4,4,3,3,2] => 12
[4,3,3,3,3] => 8
[4,3,3,3,2,1] => 16
[3,3,3,3,2,2] => 6
[3,3,3,3,1,1,1,1] => 6
[3,3,2,2,2,2,2] => 6
[2,2,2,2,2,2,2,2] => 3
[2,2,2,2,2,2,1,1,1,1] => 4
[2,2,2,2,1,1,1,1,1,1,1,1] => 4
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2
[17] => 18
[9,8] => 18
[8,8,1] => 16
[8,6,3] => 48
[7,5,3,2] => 54
[6,5,3,3] => 24
[6,5,2,2,2] => 24
[6,4,4,3] => 24
[6,4,4,1,1,1] => 24
[6,3,3,3,2] => 24
[6,3,3,3,1,1] => 24
[5,5,4,3] => 16
[5,5,4,1,1,1] => 16
[5,5,2,2,2,1] => 16
[5,4,4,4] => 10
[5,4,3,2,2,1] => 32
[5,3,3,3,2,1] => 24
[4,4,4,3,2] => 12
[4,4,4,3,1,1] => 12
[4,4,4,2,2,1] => 12
[4,4,3,3,3] => 8
[3,3,3,3,3,2] => 6
[3,2,2,2,2,2,2,2] => 6
[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 6
[4,4,4,3,2,1] => 16
[5,4,3,3,2,1] => 32
[6,3,3,3,2,1] => 32
[6,5,2,2,2,1] => 32
[5,5,3,3,1,1] => 18
[6,5,4,1,1,1] => 32
[5,5,3,3,2] => 18
[5,5,4,2,2] => 18
[6,4,4,2,2] => 27
[6,5,4,3] => 32
[4,4,4,3,3] => 8
[4,4,4,4,2] => 9
[5,5,4,4] => 10
[6,4,4,4] => 15
[2,2,2,2,2,2,2,2,2] => 3
[3,3,3,3,3,3] => 4
[18] => 19
[6,2,2,2,2,2,2] => 15
[6,6,6] => 7
[4,2,2,2,2,2,2,2] => 9
[10,4,4] => 35
[9,6,3] => 64
[8,6,4] => 45
[10,8] => 27
[3,3,3,3,1,1,1,1,1,1] => 6
[9,9] => 10
[7,7,1,1,1,1] => 14
[5,4,4,3,2,1] => 32
[5,5,3,3,2,1] => 24
[5,5,4,2,2,1] => 24
[6,4,4,2,2,1] => 36
[5,5,4,3,1,1] => 24
[6,4,4,3,1,1] => 36
[6,5,3,3,1,1] => 36
[5,5,4,3,2] => 24
[6,4,4,3,2] => 36
[6,5,3,3,2] => 36
[6,5,4,2,2] => 36
[6,5,4,3,1] => 48
[6,5,4,1,1,1,1] => 32
[4,4,4,4,3] => 8
[4,3,3,3,3,3] => 8
[19] => 20
[7,2,2,2,2,2,2] => 18
[7,6,6] => 14
[5,2,2,2,2,2,2,2] => 12
[13,6] => 56
[11,4,4] => 40
[9,6,4] => 60
[8,5,4,2] => 72
[8,5,5,1] => 40
[5,5,4,3,2,1] => 32
[6,4,4,3,2,1] => 48
[6,5,3,3,2,1] => 48
[6,5,4,2,2,1] => 48
[6,5,4,3,1,1] => 48
[6,5,4,3,2] => 48
[6,5,2,2,2,2,1] => 32
[6,5,4,2,1,1,1] => 48
[6,6,2,2,2,2] => 15
[7,5,4,3,1] => 72
[2,2,2,2,2,2,2,2,2,2] => 3
[3,3,3,3,3,3,2] => 6
[4,4,3,3,3,3] => 8
[4,4,4,4,4] => 5
[5,5,5,5] => 6
[20] => 21
[10,10] => 11
[8,2,2,2,2,2,2] => 21
[8,6,4,2] => 81
[8,6,6] => 21
[10,6,4] => 75
[9,8,3] => 48
[6,6,6,2] => 15
[10,7,3] => 80
[9,7,4] => 60
[9,5,5,1] => 50
[6,5,4,3,2,1] => 64
[6,3,3,3,3,2,1] => 32
[6,5,3,2,2,2,1] => 48
[6,5,4,3,1,1,1] => 48
[7,6,2,2,2,2] => 30
[6,6,5,4] => 20
[3,3,3,3,3,3,3] => 4
[4,4,4,3,3,3] => 8
[21] => 22
[11,7,3] => 100
[5,4,2,2,2,2,2,2] => 18
[11,10] => 22
[13,4,4] => 50
[7,6,6,2] => 30
[4,4,4,4,3,2,1] => 16
[6,4,3,3,3,2,1] => 48
[6,5,4,2,2,2,1] => 48
[6,5,4,3,2,1,1] => 64
[4,4,4,4,3,3] => 8
[8,6,2,2,2,2] => 45
[22] => 23
[9,6,4,3] => 96
[8,7,7] => 16
[5,4,4,4,3,2,1] => 32
[6,5,3,3,3,2,1] => 48
[6,5,4,3,2,2,1] => 64
[15,2,2,2,2] => 42
[9,6,5,3] => 96
[8,6,5,3,1] => 108
[6,4,4,4,3,2,1] => 48
[6,5,4,3,3,2,1] => 64
[3,3,3,3,3,3,3,3] => 4
[4,4,4,4,4,4] => 5
[6,6,6,6] => 7
[24] => 25
[11,7,5,1] => 150
[9,7,5,3] => 108
[8,8,8] => 9
[17,7] => 88
[12,9,3] => 112
[5,5,5,4,3,2,1] => 32
[6,5,4,4,3,2,1] => 64
[7,6,6,6] => 14
[5,4,4,4,2,2,2,2] => 18
[13,12] => 26
[15,5,5] => 66
[9,7,5,3,1] => 162
[10,7,5,3] => 144
[3,3,3,3,3,1,1,1,1,1,1,1,1,1,1] => 6
[5,5,5,5,5] => 6
[12,10,3] => 96
[6,5,5,4,3,2,1] => 64
[6,6,4,3,3,2,2] => 36
[8,6,6,6] => 21
[9,7,5,4,1] => 144
[16,8,2] => 189
[6,6,5,4,3,2,1] => 64
[7,6,5,4,3,2] => 96
[3,3,3,3,3,3,3,3,3] => 4
[15,6,6] => 70
[7,6,5,4,3,2,1] => 128
[6,6,6,4,3,3] => 24
[4,3,3,3,3,3,3,3,3] => 8
[7,6,5,4,3,1,1,1] => 96
[10,7,6,4,1] => 192
[9,7,6,4,2] => 162
[10,8,5,4,1] => 192
[15,14] => 30
[7,6,5,4,3,2,1,1] => 128
[7,6,5,4,2,2,2,1] => 96
[10,8,6,4,1] => 216
[6,6,6,6,6] => 7
[15,15] => 16
[5,5,5,5,5,5] => 6
[6,6,6,6,3,3] => 16
[10,10,10] => 11
[9,7,5,5,3,1] => 162
[7,6,5,4,3,2,2,1] => 128
[7,6,5,3,3,3,2,1] => 96
[11,8,6,4,1] => 288
[10,8,6,4,2] => 243
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 3
[7,6,6,6,6] => 14
[7,6,5,4,3,3,2,1] => 128
[7,6,4,4,4,3,2,1] => 96
[11,8,6,5,1] => 240
[10,10,9,2] => 48
[14,9,8] => 108
[4,4,4,4,4,4,4,4] => 5
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 3
[7,6,5,4,4,3,2,1] => 128
[7,5,5,5,4,3,2,1] => 96
[16,16] => 17
[10,10,10,2] => 27
[16,8,4,2,2] => 405
[3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 6
[5,4,4,4,4,4,4,4] => 10
[7,6,5,5,4,3,2,1] => 128
[6,6,6,5,4,3,2,1] => 64
[22,7,4] => 320
[12,12,4,3,2] => 108
[4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 9
[7,6,6,5,4,3,2,1] => 128
[12,9,7,5,1] => 360
[7,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 18
[7,7,6,5,4,3,2,1] => 128
[13,9,7,5,1] => 450
[18,18] => 19
[24,12] => 169
[11,9,7,5,3,1] => 486
[11,8,7,5,4,1] => 384
[8,7,6,5,4,3,2,1] => 256
[8,7,7,7,7] => 16
[7,6,2,2,2,2,2,2,2,2,2,2,2,2] => 30
[7,6,6,6,6,6] => 14
[8,7,6,5,4,3,2,1,1] => 256
[8,7,6,5,4,3,2,2,1] => 256
[8,7,6,5,4,3,3,2,1] => 256
[10,10,10,10] => 11
[12,12,12,4] => 45
[8,7,6,5,4,4,3,2,1] => 256
[11,9,7,5,5,3] => 324
[4,4,4,4,4,4,4,4,4,4] => 5
[14,14,8,4] => 175
[7,6,6,6,2,2,2,2,2,2,2,2] => 30
[8,7,6,5,5,4,3,2,1] => 256
[9,9,9,9,3,3] => 28
[8,7,6,6,5,4,3,2,1] => 256
[10,10,10,5,5,2] => 72
[16,10,8,8] => 189
[26,9,7] => 432
[8,7,7,6,5,4,3,2,1] => 256
[8,8,7,6,5,4,3,2,1] => 256
[18,18,9] => 100
[9,8,7,6,5,4,3,2,1] => 512
[11,9,7,7,5,3,3] => 324
[48] => 49
[7,6,6,6,6,6,6,6] => 14
[22,9,8,5,5] => 672
[6,6,6,6,6,6,6,3,3,2] => 24
[27,14,9] => 840
[17,14,13,8] => 432
[5,5,5,5,5,5,5,5,5,5,5] => 6
[27,20,8] => 936
[26,13,7,7,2] => 1764
[31,12,10,4] => 2100
[6,6,6,6,6,6,6,6,6,6] => 7
[5,5,5,5,5,5,5,5,5,5,5,5] => 6
[12,12,12,12,12] => 13
[12,12,12,12,11,4] => 80
[12,12,12,12,12,4] => 45
[3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 6
[11,11,11,11,11,10] => 22
[11,11,11,11,11,11] => 12
[16,14,9,9,9,9] => 180
[8,8,8,8,8,8,8,8,4,2] => 45
[24,24,24] => 25
[16,16,16,16,8,4,2] => 405
[12,12,12,12,12,12,4,4] => 45
[22,20,20,12,8] => 1215
[20,20,8,4,4,4,4,4,4,4,4,4] => 325
[33,32,9,9,5] => 1440
[18,18,18,18,18] => 19
[18,18,18,18,9,9] => 100
[6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3] => 16
[56,17,11,10,5] => 20160
[33,26,23,12,9] => 15360
[22,22,22,10,10,9,4,4] => 780
[22,22,22,10,10,10,4,4] => 455
[12,12,12,12,12,12,12,12,4,3,2] => 108
[24,24,24,24,14] => 165
[76,22,9,6] => 21560
[5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 6
[5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 6
[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7
[12,12,12,12,12,12,12,12,12,12] => 13
[24,24,24,24,24] => 25
[12,12,12,12,12,12,12,12,12,6,6,6,4,2] => 189
[54,48,18,10,8] => 52731
[24,24,24,24,24,24] => 25
[37,33,20,20,13,10,10,10,7] => 71680
[42,34,30,22,22,14,2] => 142155
[54,52,34,18,11,7] => 310080
[65,27,27,25,13,9,6,6] => 212940
[18,18,18,18,18,18,18,18,18,18] => 19
[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7
[16,16,16,16,16,16,16,8,8,8,8,8,8,8,8,4,2] => 405
[58,38,38,38,30] => 5859
[12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12] => 13
[10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,2] => 27
[74,58,34,34,22,22,13,11,2] => 4972500
[61,48,48,48,45,22,12,2] => 487872
[15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,5,5,3,3] => 132
[98,62,36,26,14,14,14,14,14,14,12,2] => 14142843
[14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,13,2] => 72
[14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,2] => 39
[74,74,26,26,26,26,12,12,12,12,12,12,6,6,4,4,3,3,3,3] => 123480
[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7
[64,57,40,39,28,23,19,19,16,9,8,8,8,8,8,8,6,6] => 139345920
[70,70,46,28,22,22,10,9,9,9,9,8,8,8,8,8,7,7,7,3,3,3] => 6916000
[14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,7,7,7,7,7,2] => 144
[12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,4,4,4,3,3] => 168
[145,83,62,44,44,42,19,16,16,10,8] => 1433412288
[98,98,37,37,37,37,24,24,24,24,24,24,24,24,10,10,8,8] => 351540
[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 7
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Created: Jul 08, 2022 at 09:24 by Martin Rubey
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Last Updated: Dec 29, 2023 at 11:40 by Martin Rubey