*****************************************************************************
* 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: St000410
-----------------------------------------------------------------------------
Collection: Ordered trees
-----------------------------------------------------------------------------
Description: The tree factorial of an ordered tree.
-----------------------------------------------------------------------------
References: [1] [[wikipedia:Butcher_group]]
-----------------------------------------------------------------------------
Code:
def statistic(B):
return B.tree_factorial()
-----------------------------------------------------------------------------
Statistic values:
[[]] => 2
[[],[]] => 3
[[[]]] => 6
[[],[],[]] => 4
[[],[[]]] => 8
[[[]],[]] => 8
[[[],[]]] => 12
[[[[]]]] => 24
[[],[],[],[]] => 5
[[],[],[[]]] => 10
[[],[[]],[]] => 10
[[],[[],[]]] => 15
[[],[[[]]]] => 30
[[[]],[],[]] => 10
[[[]],[[]]] => 20
[[[],[]],[]] => 15
[[[[]]],[]] => 30
[[[],[],[]]] => 20
[[[],[[]]]] => 40
[[[[]],[]]] => 40
[[[[],[]]]] => 60
[[[[[]]]]] => 120
[[],[],[],[],[]] => 6
[[],[],[],[[]]] => 12
[[],[],[[]],[]] => 12
[[],[],[[],[]]] => 18
[[],[],[[[]]]] => 36
[[],[[]],[],[]] => 12
[[],[[]],[[]]] => 24
[[],[[],[]],[]] => 18
[[],[[[]]],[]] => 36
[[],[[],[],[]]] => 24
[[],[[],[[]]]] => 48
[[],[[[]],[]]] => 48
[[],[[[],[]]]] => 72
[[],[[[[]]]]] => 144
[[[]],[],[],[]] => 12
[[[]],[],[[]]] => 24
[[[]],[[]],[]] => 24
[[[]],[[],[]]] => 36
[[[]],[[[]]]] => 72
[[[],[]],[],[]] => 18
[[[[]]],[],[]] => 36
[[[],[]],[[]]] => 36
[[[[]]],[[]]] => 72
[[[],[],[]],[]] => 24
[[[],[[]]],[]] => 48
[[[[]],[]],[]] => 48
[[[[],[]]],[]] => 72
[[[[[]]]],[]] => 144
[[[],[],[],[]]] => 30
[[[],[],[[]]]] => 60
[[[],[[]],[]]] => 60
[[[],[[],[]]]] => 90
[[[],[[[]]]]] => 180
[[[[]],[],[]]] => 60
[[[[]],[[]]]] => 120
[[[[],[]],[]]] => 90
[[[[[]]],[]]] => 180
[[[[],[],[]]]] => 120
[[[[],[[]]]]] => 240
[[[[[]],[]]]] => 240
[[[[[],[]]]]] => 360
[[[[[[]]]]]] => 720
[[],[],[],[],[],[]] => 7
[[],[],[],[],[[]]] => 14
[[],[],[],[[]],[]] => 14
[[],[],[],[[],[]]] => 21
[[],[],[],[[[]]]] => 42
[[],[],[[]],[],[]] => 14
[[],[],[[]],[[]]] => 28
[[],[],[[],[]],[]] => 21
[[],[],[[[]]],[]] => 42
[[],[],[[],[],[]]] => 28
[[],[],[[],[[]]]] => 56
[[],[],[[[]],[]]] => 56
[[],[],[[[],[]]]] => 84
[[],[],[[[[]]]]] => 168
[[],[[]],[],[],[]] => 14
[[],[[]],[],[[]]] => 28
[[],[[]],[[]],[]] => 28
[[],[[]],[[],[]]] => 42
[[],[[]],[[[]]]] => 84
[[],[[],[]],[],[]] => 21
[[],[[[]]],[],[]] => 42
[[],[[],[]],[[]]] => 42
[[],[[[]]],[[]]] => 84
[[],[[],[],[]],[]] => 28
[[],[[],[[]]],[]] => 56
[[],[[[]],[]],[]] => 56
[[],[[[],[]]],[]] => 84
[[],[[[[]]]],[]] => 168
[[],[[],[],[],[]]] => 35
[[],[[],[],[[]]]] => 70
[[],[[],[[]],[]]] => 70
[[],[[],[[],[]]]] => 105
[[],[[],[[[]]]]] => 210
[[],[[[]],[],[]]] => 70
[[],[[[]],[[]]]] => 140
[[],[[[],[]],[]]] => 105
[[],[[[[]]],[]]] => 210
[[],[[[],[],[]]]] => 140
[[],[[[],[[]]]]] => 280
[[],[[[[]],[]]]] => 280
[[],[[[[],[]]]]] => 420
[[],[[[[[]]]]]] => 840
[[[]],[],[],[],[]] => 14
[[[]],[],[],[[]]] => 28
[[[]],[],[[]],[]] => 28
[[[]],[],[[],[]]] => 42
[[[]],[],[[[]]]] => 84
[[[]],[[]],[],[]] => 28
[[[]],[[]],[[]]] => 56
[[[]],[[],[]],[]] => 42
[[[]],[[[]]],[]] => 84
[[[]],[[],[],[]]] => 56
[[[]],[[],[[]]]] => 112
[[[]],[[[]],[]]] => 112
[[[]],[[[],[]]]] => 168
[[[]],[[[[]]]]] => 336
[[[],[]],[],[],[]] => 21
[[[[]]],[],[],[]] => 42
[[[],[]],[],[[]]] => 42
[[[[]]],[],[[]]] => 84
[[[],[]],[[]],[]] => 42
[[[[]]],[[]],[]] => 84
[[[],[]],[[],[]]] => 63
[[[],[]],[[[]]]] => 126
[[[[]]],[[],[]]] => 126
[[[[]]],[[[]]]] => 252
[[[],[],[]],[],[]] => 28
[[[],[[]]],[],[]] => 56
[[[[]],[]],[],[]] => 56
[[[[],[]]],[],[]] => 84
[[[[[]]]],[],[]] => 168
[[[],[],[]],[[]]] => 56
[[[],[[]]],[[]]] => 112
[[[[]],[]],[[]]] => 112
[[[[],[]]],[[]]] => 168
[[[[[]]]],[[]]] => 336
[[[],[],[],[]],[]] => 35
[[[],[],[[]]],[]] => 70
[[[],[[]],[]],[]] => 70
[[[],[[],[]]],[]] => 105
[[[],[[[]]]],[]] => 210
[[[[]],[],[]],[]] => 70
[[[[]],[[]]],[]] => 140
[[[[],[]],[]],[]] => 105
[[[[[]]],[]],[]] => 210
[[[[],[],[]]],[]] => 140
[[[[],[[]]]],[]] => 280
[[[[[]],[]]],[]] => 280
[[[[[],[]]]],[]] => 420
[[[[[[]]]]],[]] => 840
[[[],[],[],[],[]]] => 42
[[[],[],[],[[]]]] => 84
[[[],[],[[]],[]]] => 84
[[[],[],[[],[]]]] => 126
[[[],[],[[[]]]]] => 252
[[[],[[]],[],[]]] => 84
[[[],[[]],[[]]]] => 168
[[[],[[],[]],[]]] => 126
[[[],[[[]]],[]]] => 252
[[[],[[],[],[]]]] => 168
[[[],[[],[[]]]]] => 336
[[[],[[[]],[]]]] => 336
[[[],[[[],[]]]]] => 504
[[[],[[[[]]]]]] => 1008
[[[[]],[],[],[]]] => 84
[[[[]],[],[[]]]] => 168
[[[[]],[[]],[]]] => 168
[[[[]],[[],[]]]] => 252
[[[[]],[[[]]]]] => 504
[[[[],[]],[],[]]] => 126
[[[[[]]],[],[]]] => 252
[[[[],[]],[[]]]] => 252
[[[[[]]],[[]]]] => 504
[[[[],[],[]],[]]] => 168
[[[[],[[]]],[]]] => 336
[[[[[]],[]],[]]] => 336
[[[[[],[]]],[]]] => 504
[[[[[[]]]],[]]] => 1008
[[[[],[],[],[]]]] => 210
[[[[],[],[[]]]]] => 420
[[[[],[[]],[]]]] => 420
[[[[],[[],[]]]]] => 630
[[[[],[[[]]]]]] => 1260
[[[[[]],[],[]]]] => 420
[[[[[]],[[]]]]] => 840
[[[[[],[]],[]]]] => 630
[[[[[[]]],[]]]] => 1260
[[[[[],[],[]]]]] => 840
[[[[[],[[]]]]]] => 1680
[[[[[[]],[]]]]] => 1680
[[[[[[],[]]]]]] => 2520
[[[[[[[]]]]]]] => 5040
[[],[],[],[],[],[],[]] => 8
[[],[],[],[],[],[[]]] => 16
[[],[],[],[],[[]],[]] => 16
[[],[],[],[],[[],[]]] => 24
[[],[],[],[],[[[]]]] => 48
[[],[],[],[[]],[],[]] => 16
[[],[],[],[[]],[[]]] => 32
[[],[],[],[[],[]],[]] => 24
[[],[],[],[[[]]],[]] => 48
[[],[],[],[[],[],[]]] => 32
[[],[],[],[[],[[]]]] => 64
[[],[],[],[[[]],[]]] => 64
[[],[],[],[[[],[]]]] => 96
[[],[],[],[[[[]]]]] => 192
[[],[],[[]],[],[],[]] => 16
[[],[],[[]],[],[[]]] => 32
[[],[],[[]],[[]],[]] => 32
[[],[],[[]],[[],[]]] => 48
[[],[],[[]],[[[]]]] => 96
[[],[],[[],[]],[],[]] => 24
[[],[],[[[]]],[],[]] => 48
[[],[],[[],[]],[[]]] => 48
[[],[],[[[]]],[[]]] => 96
[[],[],[[],[],[]],[]] => 32
[[],[],[[],[[]]],[]] => 64
[[],[],[[[]],[]],[]] => 64
[[],[],[[[],[]]],[]] => 96
[[],[],[[[[]]]],[]] => 192
[[],[],[[],[],[],[]]] => 40
[[],[],[[],[],[[]]]] => 80
[[],[],[[],[[]],[]]] => 80
[[],[],[[],[[],[]]]] => 120
[[],[],[[],[[[]]]]] => 240
[[],[],[[[]],[],[]]] => 80
[[],[],[[[]],[[]]]] => 160
[[],[],[[[],[]],[]]] => 120
[[],[],[[[[]]],[]]] => 240
[[],[],[[[],[],[]]]] => 160
[[],[],[[[],[[]]]]] => 320
[[],[],[[[[]],[]]]] => 320
[[],[],[[[[],[]]]]] => 480
[[],[],[[[[[]]]]]] => 960
[[],[[]],[],[],[],[]] => 16
[[],[[]],[],[],[[]]] => 32
[[],[[]],[],[[]],[]] => 32
[[],[[]],[],[[],[]]] => 48
[[],[[]],[],[[[]]]] => 96
[[],[[]],[[]],[],[]] => 32
[[],[[]],[[]],[[]]] => 64
[[],[[]],[[],[]],[]] => 48
[[],[[]],[[[]]],[]] => 96
[[],[[]],[[],[],[]]] => 64
[[],[[]],[[],[[]]]] => 128
[[],[[]],[[[]],[]]] => 128
[[],[[]],[[[],[]]]] => 192
[[],[[]],[[[[]]]]] => 384
[[],[[],[]],[],[],[]] => 24
[[],[[[]]],[],[],[]] => 48
[[],[[],[]],[],[[]]] => 48
[[],[[[]]],[],[[]]] => 96
[[],[[],[]],[[]],[]] => 48
[[],[[[]]],[[]],[]] => 96
[[],[[],[]],[[],[]]] => 72
[[],[[],[]],[[[]]]] => 144
[[],[[[]]],[[],[]]] => 144
[[],[[[]]],[[[]]]] => 288
[[],[[],[],[]],[],[]] => 32
[[],[[],[[]]],[],[]] => 64
[[],[[[]],[]],[],[]] => 64
[[],[[[],[]]],[],[]] => 96
[[],[[[[]]]],[],[]] => 192
[[],[[],[],[]],[[]]] => 64
[[],[[],[[]]],[[]]] => 128
[[],[[[]],[]],[[]]] => 128
[[],[[[],[]]],[[]]] => 192
[[],[[[[]]]],[[]]] => 384
[[],[[],[],[],[]],[]] => 40
[[],[[],[],[[]]],[]] => 80
[[],[[],[[]],[]],[]] => 80
[[],[[],[[],[]]],[]] => 120
[[],[[],[[[]]]],[]] => 240
[[],[[[]],[],[]],[]] => 80
[[],[[[]],[[]]],[]] => 160
[[],[[[],[]],[]],[]] => 120
[[],[[[[]]],[]],[]] => 240
[[],[[[],[],[]]],[]] => 160
[[],[[[],[[]]]],[]] => 320
[[],[[[[]],[]]],[]] => 320
[[],[[[[],[]]]],[]] => 480
[[],[[[[[]]]]],[]] => 960
[[],[[],[],[],[],[]]] => 48
[[],[[],[],[],[[]]]] => 96
[[],[[],[],[[]],[]]] => 96
[[],[[],[],[[],[]]]] => 144
[[],[[],[],[[[]]]]] => 288
[[],[[],[[]],[],[]]] => 96
[[],[[],[[]],[[]]]] => 192
[[],[[],[[],[]],[]]] => 144
[[],[[],[[[]]],[]]] => 288
[[],[[],[[],[],[]]]] => 192
[[],[[],[[],[[]]]]] => 384
[[],[[],[[[]],[]]]] => 384
[[],[[],[[[],[]]]]] => 576
[[],[[],[[[[]]]]]] => 1152
[[],[[[]],[],[],[]]] => 96
[[],[[[]],[],[[]]]] => 192
[[],[[[]],[[]],[]]] => 192
[[],[[[]],[[],[]]]] => 288
[[],[[[]],[[[]]]]] => 576
[[],[[[],[]],[],[]]] => 144
[[],[[[[]]],[],[]]] => 288
[[],[[[],[]],[[]]]] => 288
[[],[[[[]]],[[]]]] => 576
[[],[[[],[],[]],[]]] => 192
[[],[[[],[[]]],[]]] => 384
[[],[[[[]],[]],[]]] => 384
[[],[[[[],[]]],[]]] => 576
[[],[[[[[]]]],[]]] => 1152
[[],[[[],[],[],[]]]] => 240
[[],[[[],[],[[]]]]] => 480
[[],[[[],[[]],[]]]] => 480
[[],[[[],[[],[]]]]] => 720
[[],[[[],[[[]]]]]] => 1440
[[],[[[[]],[],[]]]] => 480
[[],[[[[]],[[]]]]] => 960
[[],[[[[],[]],[]]]] => 720
[[],[[[[[]]],[]]]] => 1440
[[],[[[[],[],[]]]]] => 960
[[],[[[[],[[]]]]]] => 1920
[[],[[[[[]],[]]]]] => 1920
[[],[[[[[],[]]]]]] => 2880
[[],[[[[[[]]]]]]] => 5760
[[[]],[],[],[],[],[]] => 16
[[[]],[],[],[],[[]]] => 32
[[[]],[],[],[[]],[]] => 32
[[[]],[],[],[[],[]]] => 48
[[[]],[],[],[[[]]]] => 96
[[[]],[],[[]],[],[]] => 32
[[[]],[],[[]],[[]]] => 64
[[[]],[],[[],[]],[]] => 48
[[[]],[],[[[]]],[]] => 96
[[[]],[],[[],[],[]]] => 64
[[[]],[],[[],[[]]]] => 128
[[[]],[],[[[]],[]]] => 128
[[[]],[],[[[],[]]]] => 192
[[[]],[],[[[[]]]]] => 384
[[[]],[[]],[],[],[]] => 32
[[[]],[[]],[],[[]]] => 64
[[[]],[[]],[[]],[]] => 64
[[[]],[[]],[[],[]]] => 96
[[[]],[[]],[[[]]]] => 192
[[[]],[[],[]],[],[]] => 48
[[[]],[[[]]],[],[]] => 96
[[[]],[[],[]],[[]]] => 96
[[[]],[[[]]],[[]]] => 192
[[[]],[[],[],[]],[]] => 64
[[[]],[[],[[]]],[]] => 128
[[[]],[[[]],[]],[]] => 128
[[[]],[[[],[]]],[]] => 192
[[[]],[[[[]]]],[]] => 384
[[[]],[[],[],[],[]]] => 80
[[[]],[[],[],[[]]]] => 160
[[[]],[[],[[]],[]]] => 160
[[[]],[[],[[],[]]]] => 240
[[[]],[[],[[[]]]]] => 480
[[[]],[[[]],[],[]]] => 160
[[[]],[[[]],[[]]]] => 320
[[[]],[[[],[]],[]]] => 240
[[[]],[[[[]]],[]]] => 480
[[[]],[[[],[],[]]]] => 320
[[[]],[[[],[[]]]]] => 640
[[[]],[[[[]],[]]]] => 640
[[[]],[[[[],[]]]]] => 960
[[[]],[[[[[]]]]]] => 1920
[[[],[]],[],[],[],[]] => 24
[[[[]]],[],[],[],[]] => 48
[[[],[]],[],[],[[]]] => 48
[[[[]]],[],[],[[]]] => 96
[[[],[]],[],[[]],[]] => 48
[[[[]]],[],[[]],[]] => 96
[[[],[]],[],[[],[]]] => 72
[[[],[]],[],[[[]]]] => 144
[[[[]]],[],[[],[]]] => 144
[[[[]]],[],[[[]]]] => 288
[[[],[]],[[]],[],[]] => 48
[[[[]]],[[]],[],[]] => 96
[[[],[]],[[]],[[]]] => 96
[[[[]]],[[]],[[]]] => 192
[[[],[]],[[],[]],[]] => 72
[[[],[]],[[[]]],[]] => 144
[[[[]]],[[],[]],[]] => 144
[[[[]]],[[[]]],[]] => 288
[[[],[]],[[],[],[]]] => 96
[[[],[]],[[],[[]]]] => 192
[[[],[]],[[[]],[]]] => 192
[[[],[]],[[[],[]]]] => 288
[[[],[]],[[[[]]]]] => 576
[[[[]]],[[],[],[]]] => 192
[[[[]]],[[],[[]]]] => 384
[[[[]]],[[[]],[]]] => 384
[[[[]]],[[[],[]]]] => 576
[[[[]]],[[[[]]]]] => 1152
[[[],[],[]],[],[],[]] => 32
[[[],[[]]],[],[],[]] => 64
[[[[]],[]],[],[],[]] => 64
[[[[],[]]],[],[],[]] => 96
[[[[[]]]],[],[],[]] => 192
[[[],[],[]],[],[[]]] => 64
[[[],[[]]],[],[[]]] => 128
[[[[]],[]],[],[[]]] => 128
[[[[],[]]],[],[[]]] => 192
[[[[[]]]],[],[[]]] => 384
[[[],[],[]],[[]],[]] => 64
[[[],[[]]],[[]],[]] => 128
[[[[]],[]],[[]],[]] => 128
[[[[],[]]],[[]],[]] => 192
[[[[[]]]],[[]],[]] => 384
[[[],[],[]],[[],[]]] => 96
[[[],[],[]],[[[]]]] => 192
[[[],[[]]],[[],[]]] => 192
[[[],[[]]],[[[]]]] => 384
[[[[]],[]],[[],[]]] => 192
[[[[]],[]],[[[]]]] => 384
[[[[],[]]],[[],[]]] => 288
[[[[],[]]],[[[]]]] => 576
[[[[[]]]],[[],[]]] => 576
[[[[[]]]],[[[]]]] => 1152
[[[],[],[],[]],[],[]] => 40
[[[],[],[[]]],[],[]] => 80
[[[],[[]],[]],[],[]] => 80
[[[],[[],[]]],[],[]] => 120
[[[],[[[]]]],[],[]] => 240
[[[[]],[],[]],[],[]] => 80
[[[[]],[[]]],[],[]] => 160
[[[[],[]],[]],[],[]] => 120
[[[[[]]],[]],[],[]] => 240
[[[[],[],[]]],[],[]] => 160
[[[[],[[]]]],[],[]] => 320
[[[[[]],[]]],[],[]] => 320
[[[[[],[]]]],[],[]] => 480
[[[[[[]]]]],[],[]] => 960
[[[],[],[],[]],[[]]] => 80
[[[],[],[[]]],[[]]] => 160
[[[],[[]],[]],[[]]] => 160
[[[],[[],[]]],[[]]] => 240
[[[],[[[]]]],[[]]] => 480
[[[[]],[],[]],[[]]] => 160
[[[[]],[[]]],[[]]] => 320
[[[[],[]],[]],[[]]] => 240
[[[[[]]],[]],[[]]] => 480
[[[[],[],[]]],[[]]] => 320
[[[[],[[]]]],[[]]] => 640
[[[[[]],[]]],[[]]] => 640
[[[[[],[]]]],[[]]] => 960
[[[[[[]]]]],[[]]] => 1920
[[[],[],[],[],[]],[]] => 48
[[[],[],[],[[]]],[]] => 96
[[[],[],[[]],[]],[]] => 96
[[[],[],[[],[]]],[]] => 144
[[[],[],[[[]]]],[]] => 288
[[[],[[]],[],[]],[]] => 96
[[[],[[]],[[]]],[]] => 192
[[[],[[],[]],[]],[]] => 144
[[[],[[[]]],[]],[]] => 288
[[[],[[],[],[]]],[]] => 192
[[[],[[],[[]]]],[]] => 384
[[[],[[[]],[]]],[]] => 384
[[[],[[[],[]]]],[]] => 576
[[[],[[[[]]]]],[]] => 1152
[[[[]],[],[],[]],[]] => 96
[[[[]],[],[[]]],[]] => 192
[[[[]],[[]],[]],[]] => 192
[[[[]],[[],[]]],[]] => 288
[[[[]],[[[]]]],[]] => 576
[[[[],[]],[],[]],[]] => 144
[[[[[]]],[],[]],[]] => 288
[[[[],[]],[[]]],[]] => 288
[[[[[]]],[[]]],[]] => 576
[[[[],[],[]],[]],[]] => 192
[[[[],[[]]],[]],[]] => 384
[[[[[]],[]],[]],[]] => 384
[[[[[],[]]],[]],[]] => 576
[[[[[[]]]],[]],[]] => 1152
[[[[],[],[],[]]],[]] => 240
[[[[],[],[[]]]],[]] => 480
[[[[],[[]],[]]],[]] => 480
[[[[],[[],[]]]],[]] => 720
[[[[],[[[]]]]],[]] => 1440
[[[[[]],[],[]]],[]] => 480
[[[[[]],[[]]]],[]] => 960
[[[[[],[]],[]]],[]] => 720
[[[[[[]]],[]]],[]] => 1440
[[[[[],[],[]]]],[]] => 960
[[[[[],[[]]]]],[]] => 1920
[[[[[[]],[]]]],[]] => 1920
[[[[[[],[]]]]],[]] => 2880
[[[[[[[]]]]]],[]] => 5760
[[[],[],[],[],[],[]]] => 56
[[[],[],[],[],[[]]]] => 112
[[[],[],[],[[]],[]]] => 112
[[[],[],[],[[],[]]]] => 168
[[[],[],[],[[[]]]]] => 336
[[[],[],[[]],[],[]]] => 112
[[[],[],[[]],[[]]]] => 224
[[[],[],[[],[]],[]]] => 168
[[[],[],[[[]]],[]]] => 336
[[[],[],[[],[],[]]]] => 224
[[[],[],[[],[[]]]]] => 448
[[[],[],[[[]],[]]]] => 448
[[[],[],[[[],[]]]]] => 672
[[[],[],[[[[]]]]]] => 1344
[[[],[[]],[],[],[]]] => 112
[[[],[[]],[],[[]]]] => 224
[[[],[[]],[[]],[]]] => 224
[[[],[[]],[[],[]]]] => 336
[[[],[[]],[[[]]]]] => 672
[[[],[[],[]],[],[]]] => 168
[[[],[[[]]],[],[]]] => 336
[[[],[[],[]],[[]]]] => 336
[[[],[[[]]],[[]]]] => 672
[[[],[[],[],[]],[]]] => 224
[[[],[[],[[]]],[]]] => 448
[[[],[[[]],[]],[]]] => 448
[[[],[[[],[]]],[]]] => 672
[[[],[[[[]]]],[]]] => 1344
[[[],[[],[],[],[]]]] => 280
[[[],[[],[],[[]]]]] => 560
[[[],[[],[[]],[]]]] => 560
[[[],[[],[[],[]]]]] => 840
[[[],[[],[[[]]]]]] => 1680
[[[],[[[]],[],[]]]] => 560
[[[],[[[]],[[]]]]] => 1120
[[[],[[[],[]],[]]]] => 840
[[[],[[[[]]],[]]]] => 1680
[[[],[[[],[],[]]]]] => 1120
[[[],[[[],[[]]]]]] => 2240
[[[],[[[[]],[]]]]] => 2240
[[[],[[[[],[]]]]]] => 3360
[[[],[[[[[]]]]]]] => 6720
[[[[]],[],[],[],[]]] => 112
[[[[]],[],[],[[]]]] => 224
[[[[]],[],[[]],[]]] => 224
[[[[]],[],[[],[]]]] => 336
[[[[]],[],[[[]]]]] => 672
[[[[]],[[]],[],[]]] => 224
[[[[]],[[]],[[]]]] => 448
[[[[]],[[],[]],[]]] => 336
[[[[]],[[[]]],[]]] => 672
[[[[]],[[],[],[]]]] => 448
[[[[]],[[],[[]]]]] => 896
[[[[]],[[[]],[]]]] => 896
[[[[]],[[[],[]]]]] => 1344
[[[[]],[[[[]]]]]] => 2688
[[[[],[]],[],[],[]]] => 168
[[[[[]]],[],[],[]]] => 336
[[[[],[]],[],[[]]]] => 336
[[[[[]]],[],[[]]]] => 672
[[[[],[]],[[]],[]]] => 336
[[[[[]]],[[]],[]]] => 672
[[[[],[]],[[],[]]]] => 504
[[[[],[]],[[[]]]]] => 1008
[[[[[]]],[[],[]]]] => 1008
[[[[[]]],[[[]]]]] => 2016
[[[[],[],[]],[],[]]] => 224
[[[[],[[]]],[],[]]] => 448
[[[[[]],[]],[],[]]] => 448
[[[[[],[]]],[],[]]] => 672
[[[[[[]]]],[],[]]] => 1344
[[[[],[],[]],[[]]]] => 448
[[[[],[[]]],[[]]]] => 896
[[[[[]],[]],[[]]]] => 896
[[[[[],[]]],[[]]]] => 1344
[[[[[[]]]],[[]]]] => 2688
[[[[],[],[],[]],[]]] => 280
[[[[],[],[[]]],[]]] => 560
[[[[],[[]],[]],[]]] => 560
[[[[],[[],[]]],[]]] => 840
[[[[],[[[]]]],[]]] => 1680
[[[[[]],[],[]],[]]] => 560
[[[[[]],[[]]],[]]] => 1120
[[[[[],[]],[]],[]]] => 840
[[[[[[]]],[]],[]]] => 1680
[[[[[],[],[]]],[]]] => 1120
[[[[[],[[]]]],[]]] => 2240
[[[[[[]],[]]],[]]] => 2240
[[[[[[],[]]]],[]]] => 3360
[[[[[[[]]]]],[]]] => 6720
[[[[],[],[],[],[]]]] => 336
[[[[],[],[],[[]]]]] => 672
[[[[],[],[[]],[]]]] => 672
[[[[],[],[[],[]]]]] => 1008
[[[[],[],[[[]]]]]] => 2016
[[[[],[[]],[],[]]]] => 672
[[[[],[[]],[[]]]]] => 1344
[[[[],[[],[]],[]]]] => 1008
[[[[],[[[]]],[]]]] => 2016
[[[[],[[],[],[]]]]] => 1344
[[[[],[[],[[]]]]]] => 2688
[[[[],[[[]],[]]]]] => 2688
[[[[],[[[],[]]]]]] => 4032
[[[[],[[[[]]]]]]] => 8064
[[[[[]],[],[],[]]]] => 672
[[[[[]],[],[[]]]]] => 1344
[[[[[]],[[]],[]]]] => 1344
[[[[[]],[[],[]]]]] => 2016
[[[[[]],[[[]]]]]] => 4032
[[[[[],[]],[],[]]]] => 1008
[[[[[[]]],[],[]]]] => 2016
[[[[[],[]],[[]]]]] => 2016
[[[[[[]]],[[]]]]] => 4032
[[[[[],[],[]],[]]]] => 1344
[[[[[],[[]]],[]]]] => 2688
[[[[[[]],[]],[]]]] => 2688
[[[[[[],[]]],[]]]] => 4032
[[[[[[[]]]],[]]]] => 8064
[[[[[],[],[],[]]]]] => 1680
[[[[[],[],[[]]]]]] => 3360
[[[[[],[[]],[]]]]] => 3360
[[[[[],[[],[]]]]]] => 5040
[[[[[],[[[]]]]]]] => 10080
[[[[[[]],[],[]]]]] => 3360
[[[[[[]],[[]]]]]] => 6720
[[[[[[],[]],[]]]]] => 5040
[[[[[[[]]],[]]]]] => 10080
[[[[[[],[],[]]]]]] => 6720
[[[[[[],[[]]]]]]] => 13440
[[[[[[[]],[]]]]]] => 13440
[[[[[[[],[]]]]]]] => 20160
[[[[[[[[]]]]]]]] => 40320
[[],[],[],[],[],[],[],[]] => 9
[[],[],[],[],[],[],[[]]] => 18
[[],[],[],[],[],[[]],[]] => 18
[[],[],[],[],[],[[],[]]] => 27
[[],[],[],[],[],[[[]]]] => 54
[[],[],[],[],[[]],[],[]] => 18
[[],[],[],[],[[]],[[]]] => 36
[[],[],[],[],[[],[]],[]] => 27
[[],[],[],[],[[[]]],[]] => 54
[[],[],[],[],[[],[],[]]] => 36
[[],[],[],[],[[],[[]]]] => 72
[[],[],[],[],[[[]],[]]] => 72
[[],[],[],[],[[[],[]]]] => 108
[[],[],[],[],[[[[]]]]] => 216
[[],[],[],[[]],[],[],[]] => 18
[[],[],[],[[]],[],[[]]] => 36
[[],[],[],[[]],[[]],[]] => 36
[[],[],[],[[]],[[],[]]] => 54
[[],[],[],[[]],[[[]]]] => 108
[[],[],[],[[],[]],[],[]] => 27
[[],[],[],[[[]]],[],[]] => 54
[[],[],[],[[],[]],[[]]] => 54
[[],[],[],[[[]]],[[]]] => 108
[[],[],[],[[],[],[]],[]] => 36
[[],[],[],[[],[[]]],[]] => 72
[[],[],[],[[[]],[]],[]] => 72
[[],[],[],[[[],[]]],[]] => 108
[[],[],[],[[[[]]]],[]] => 216
[[],[],[],[[],[],[],[]]] => 45
[[],[],[],[[],[],[[]]]] => 90
[[],[],[],[[],[[]],[]]] => 90
[[],[],[],[[],[[],[]]]] => 135
[[],[],[],[[],[[[]]]]] => 270
[[],[],[],[[[]],[],[]]] => 90
[[],[],[],[[[]],[[]]]] => 180
[[],[],[],[[[],[]],[]]] => 135
[[],[],[],[[[[]]],[]]] => 270
[[],[],[],[[[],[],[]]]] => 180
[[],[],[],[[[],[[]]]]] => 360
[[],[],[],[[[[]],[]]]] => 360
[[],[],[],[[[[],[]]]]] => 540
[[],[],[],[[[[[]]]]]] => 1080
[[],[],[[]],[],[],[],[]] => 18
[[],[],[[]],[],[],[[]]] => 36
[[],[],[[]],[],[[]],[]] => 36
[[],[],[[]],[],[[],[]]] => 54
[[],[],[[]],[],[[[]]]] => 108
[[],[],[[]],[[]],[],[]] => 36
[[],[],[[]],[[]],[[]]] => 72
[[],[],[[]],[[],[]],[]] => 54
[[],[],[[]],[[[]]],[]] => 108
[[],[],[[]],[[],[],[]]] => 72
[[],[],[[]],[[],[[]]]] => 144
[[],[],[[]],[[[]],[]]] => 144
[[],[],[[]],[[[],[]]]] => 216
[[],[],[[]],[[[[]]]]] => 432
[[],[],[[],[]],[],[],[]] => 27
[[],[],[[[]]],[],[],[]] => 54
[[],[],[[],[]],[],[[]]] => 54
[[],[],[[[]]],[],[[]]] => 108
[[],[],[[],[]],[[]],[]] => 54
[[],[],[[[]]],[[]],[]] => 108
[[],[],[[],[]],[[],[]]] => 81
[[],[],[[],[]],[[[]]]] => 162
[[],[],[[[]]],[[],[]]] => 162
[[],[],[[[]]],[[[]]]] => 324
[[],[],[[],[],[]],[],[]] => 36
[[],[],[[],[[]]],[],[]] => 72
[[],[],[[[]],[]],[],[]] => 72
[[],[],[[[],[]]],[],[]] => 108
[[],[],[[[[]]]],[],[]] => 216
[[],[],[[],[],[]],[[]]] => 72
[[],[],[[],[[]]],[[]]] => 144
[[],[],[[[]],[]],[[]]] => 144
[[],[],[[[],[]]],[[]]] => 216
[[],[],[[[[]]]],[[]]] => 432
[[],[],[[],[],[],[]],[]] => 45
[[],[],[[],[],[[]]],[]] => 90
[[],[],[[],[[]],[]],[]] => 90
[[],[],[[],[[],[]]],[]] => 135
[[],[],[[],[[[]]]],[]] => 270
[[],[],[[[]],[],[]],[]] => 90
[[],[],[[[]],[[]]],[]] => 180
[[],[],[[[],[]],[]],[]] => 135
[[],[],[[[[]]],[]],[]] => 270
[[],[],[[[],[],[]]],[]] => 180
[[],[],[[[],[[]]]],[]] => 360
[[],[],[[[[]],[]]],[]] => 360
[[],[],[[[[],[]]]],[]] => 540
[[],[],[[[[[]]]]],[]] => 1080
[[],[],[[],[],[],[],[]]] => 54
[[],[],[[],[],[],[[]]]] => 108
[[],[],[[],[],[[]],[]]] => 108
[[],[],[[],[],[[],[]]]] => 162
[[],[],[[],[],[[[]]]]] => 324
[[],[],[[],[[]],[],[]]] => 108
[[],[],[[],[[]],[[]]]] => 216
[[],[],[[],[[],[]],[]]] => 162
[[],[],[[],[[[]]],[]]] => 324
[[],[],[[],[[],[],[]]]] => 216
[[],[],[[],[[],[[]]]]] => 432
[[],[],[[],[[[]],[]]]] => 432
[[],[],[[],[[[],[]]]]] => 648
[[],[],[[],[[[[]]]]]] => 1296
[[],[],[[[]],[],[],[]]] => 108
[[],[],[[[]],[],[[]]]] => 216
[[],[],[[[]],[[]],[]]] => 216
[[],[],[[[]],[[],[]]]] => 324
[[],[],[[[]],[[[]]]]] => 648
[[],[],[[[],[]],[],[]]] => 162
[[],[],[[[[]]],[],[]]] => 324
[[],[],[[[],[]],[[]]]] => 324
[[],[],[[[[]]],[[]]]] => 648
[[],[],[[[],[],[]],[]]] => 216
[[],[],[[[],[[]]],[]]] => 432
[[],[],[[[[]],[]],[]]] => 432
[[],[],[[[[],[]]],[]]] => 648
[[],[],[[[[[]]]],[]]] => 1296
[[],[],[[[],[],[],[]]]] => 270
[[],[],[[[],[],[[]]]]] => 540
[[],[],[[[],[[]],[]]]] => 540
[[],[],[[[],[[],[]]]]] => 810
[[],[],[[[],[[[]]]]]] => 1620
[[],[],[[[[]],[],[]]]] => 540
[[],[],[[[[]],[[]]]]] => 1080
[[],[],[[[[],[]],[]]]] => 810
[[],[],[[[[[]]],[]]]] => 1620
[[],[],[[[[],[],[]]]]] => 1080
[[],[],[[[[],[[]]]]]] => 2160
[[],[],[[[[[]],[]]]]] => 2160
[[],[],[[[[[],[]]]]]] => 3240
[[],[],[[[[[[]]]]]]] => 6480
[[],[[]],[],[],[],[],[]] => 18
[[],[[]],[],[],[],[[]]] => 36
[[],[[]],[],[],[[]],[]] => 36
[[],[[]],[],[],[[],[]]] => 54
[[],[[]],[],[],[[[]]]] => 108
[[],[[]],[],[[]],[],[]] => 36
[[],[[]],[],[[]],[[]]] => 72
[[],[[]],[],[[],[]],[]] => 54
[[],[[]],[],[[[]]],[]] => 108
[[],[[]],[],[[],[],[]]] => 72
[[],[[]],[],[[],[[]]]] => 144
[[],[[]],[],[[[]],[]]] => 144
[[],[[]],[],[[[],[]]]] => 216
[[],[[]],[],[[[[]]]]] => 432
[[],[[]],[[]],[],[],[]] => 36
[[],[[]],[[]],[],[[]]] => 72
[[],[[]],[[]],[[]],[]] => 72
[[],[[]],[[]],[[],[]]] => 108
[[],[[]],[[]],[[[]]]] => 216
[[],[[]],[[],[]],[],[]] => 54
[[],[[]],[[[]]],[],[]] => 108
[[],[[]],[[],[]],[[]]] => 108
[[],[[]],[[[]]],[[]]] => 216
[[],[[]],[[],[],[]],[]] => 72
[[],[[]],[[],[[]]],[]] => 144
[[],[[]],[[[]],[]],[]] => 144
[[],[[]],[[[],[]]],[]] => 216
[[],[[]],[[[[]]]],[]] => 432
[[],[[]],[[],[],[],[]]] => 90
[[],[[]],[[],[],[[]]]] => 180
[[],[[]],[[],[[]],[]]] => 180
[[],[[]],[[],[[],[]]]] => 270
[[],[[]],[[],[[[]]]]] => 540
[[],[[]],[[[]],[],[]]] => 180
[[],[[]],[[[]],[[]]]] => 360
[[],[[]],[[[],[]],[]]] => 270
[[],[[]],[[[[]]],[]]] => 540
[[],[[]],[[[],[],[]]]] => 360
[[],[[]],[[[],[[]]]]] => 720
[[],[[]],[[[[]],[]]]] => 720
[[],[[]],[[[[],[]]]]] => 1080
[[],[[]],[[[[[]]]]]] => 2160
[[],[[],[]],[],[],[],[]] => 27
[[],[[[]]],[],[],[],[]] => 54
[[],[[],[]],[],[],[[]]] => 54
[[],[[[]]],[],[],[[]]] => 108
[[],[[],[]],[],[[]],[]] => 54
[[],[[[]]],[],[[]],[]] => 108
[[],[[],[]],[],[[],[]]] => 81
[[],[[],[]],[],[[[]]]] => 162
[[],[[[]]],[],[[],[]]] => 162
[[],[[[]]],[],[[[]]]] => 324
[[],[[],[]],[[]],[],[]] => 54
[[],[[[]]],[[]],[],[]] => 108
[[],[[],[]],[[]],[[]]] => 108
[[],[[[]]],[[]],[[]]] => 216
[[],[[],[]],[[],[]],[]] => 81
[[],[[],[]],[[[]]],[]] => 162
[[],[[[]]],[[],[]],[]] => 162
[[],[[[]]],[[[]]],[]] => 324
[[],[[],[]],[[],[],[]]] => 108
[[],[[],[]],[[],[[]]]] => 216
[[],[[],[]],[[[]],[]]] => 216
[[],[[],[]],[[[],[]]]] => 324
[[],[[],[]],[[[[]]]]] => 648
[[],[[[]]],[[],[],[]]] => 216
[[],[[[]]],[[],[[]]]] => 432
[[],[[[]]],[[[]],[]]] => 432
[[],[[[]]],[[[],[]]]] => 648
[[],[[[]]],[[[[]]]]] => 1296
[[],[[],[],[]],[],[],[]] => 36
[[],[[],[[]]],[],[],[]] => 72
[[],[[[]],[]],[],[],[]] => 72
[[],[[[],[]]],[],[],[]] => 108
[[],[[[[]]]],[],[],[]] => 216
[[],[[],[],[]],[],[[]]] => 72
[[],[[],[[]]],[],[[]]] => 144
[[],[[[]],[]],[],[[]]] => 144
[[],[[[],[]]],[],[[]]] => 216
[[],[[[[]]]],[],[[]]] => 432
[[],[[],[],[]],[[]],[]] => 72
[[],[[],[[]]],[[]],[]] => 144
[[],[[[]],[]],[[]],[]] => 144
[[],[[[],[]]],[[]],[]] => 216
[[],[[[[]]]],[[]],[]] => 432
[[],[[],[],[]],[[],[]]] => 108
[[],[[],[],[]],[[[]]]] => 216
[[],[[],[[]]],[[],[]]] => 216
[[],[[],[[]]],[[[]]]] => 432
[[],[[[]],[]],[[],[]]] => 216
[[],[[[]],[]],[[[]]]] => 432
[[],[[[],[]]],[[],[]]] => 324
[[],[[[],[]]],[[[]]]] => 648
[[],[[[[]]]],[[],[]]] => 648
[[],[[[[]]]],[[[]]]] => 1296
[[],[[],[],[],[]],[],[]] => 45
[[],[[],[],[[]]],[],[]] => 90
[[],[[],[[]],[]],[],[]] => 90
[[],[[],[[],[]]],[],[]] => 135
[[],[[],[[[]]]],[],[]] => 270
[[],[[[]],[],[]],[],[]] => 90
[[],[[[]],[[]]],[],[]] => 180
[[],[[[],[]],[]],[],[]] => 135
[[],[[[[]]],[]],[],[]] => 270
[[],[[[],[],[]]],[],[]] => 180
[[],[[[],[[]]]],[],[]] => 360
[[],[[[[]],[]]],[],[]] => 360
[[],[[[[],[]]]],[],[]] => 540
[[],[[[[[]]]]],[],[]] => 1080
[[],[[],[],[],[]],[[]]] => 90
[[],[[],[],[[]]],[[]]] => 180
[[],[[],[[]],[]],[[]]] => 180
[[],[[],[[],[]]],[[]]] => 270
[[],[[],[[[]]]],[[]]] => 540
[[],[[[]],[],[]],[[]]] => 180
[[],[[[]],[[]]],[[]]] => 360
[[],[[[],[]],[]],[[]]] => 270
[[],[[[[]]],[]],[[]]] => 540
[[],[[[],[],[]]],[[]]] => 360
[[],[[[],[[]]]],[[]]] => 720
[[],[[[[]],[]]],[[]]] => 720
[[],[[[[],[]]]],[[]]] => 1080
[[],[[[[[]]]]],[[]]] => 2160
[[],[[],[],[],[],[]],[]] => 54
[[],[[],[],[],[[]]],[]] => 108
[[],[[],[],[[]],[]],[]] => 108
[[],[[],[],[[],[]]],[]] => 162
[[],[[],[],[[[]]]],[]] => 324
[[],[[],[[]],[],[]],[]] => 108
[[],[[],[[]],[[]]],[]] => 216
[[],[[],[[],[]],[]],[]] => 162
[[],[[],[[[]]],[]],[]] => 324
[[],[[],[[],[],[]]],[]] => 216
[[],[[],[[],[[]]]],[]] => 432
[[],[[],[[[]],[]]],[]] => 432
[[],[[],[[[],[]]]],[]] => 648
[[],[[],[[[[]]]]],[]] => 1296
[[],[[[]],[],[],[]],[]] => 108
[[],[[[]],[],[[]]],[]] => 216
[[],[[[]],[[]],[]],[]] => 216
[[],[[[]],[[],[]]],[]] => 324
[[],[[[]],[[[]]]],[]] => 648
[[],[[[],[]],[],[]],[]] => 162
[[],[[[[]]],[],[]],[]] => 324
[[],[[[],[]],[[]]],[]] => 324
[[],[[[[]]],[[]]],[]] => 648
[[],[[[],[],[]],[]],[]] => 216
[[],[[[],[[]]],[]],[]] => 432
[[],[[[[]],[]],[]],[]] => 432
[[],[[[[],[]]],[]],[]] => 648
[[],[[[[[]]]],[]],[]] => 1296
[[],[[[],[],[],[]]],[]] => 270
[[],[[[],[],[[]]]],[]] => 540
[[],[[[],[[]],[]]],[]] => 540
[[],[[[],[[],[]]]],[]] => 810
[[],[[[],[[[]]]]],[]] => 1620
[[],[[[[]],[],[]]],[]] => 540
[[],[[[[]],[[]]]],[]] => 1080
[[],[[[[],[]],[]]],[]] => 810
[[],[[[[[]]],[]]],[]] => 1620
[[],[[[[],[],[]]]],[]] => 1080
[[],[[[[],[[]]]]],[]] => 2160
[[],[[[[[]],[]]]],[]] => 2160
[[],[[[[[],[]]]]],[]] => 3240
[[],[[[[[[]]]]]],[]] => 6480
[[],[[],[],[],[],[],[]]] => 63
[[],[[],[],[],[],[[]]]] => 126
[[],[[],[],[],[[]],[]]] => 126
[[],[[],[],[],[[],[]]]] => 189
[[],[[],[],[],[[[]]]]] => 378
[[],[[],[],[[]],[],[]]] => 126
[[],[[],[],[[]],[[]]]] => 252
[[],[[],[],[[],[]],[]]] => 189
[[],[[],[],[[[]]],[]]] => 378
[[],[[],[],[[],[],[]]]] => 252
[[],[[],[],[[],[[]]]]] => 504
[[],[[],[],[[[]],[]]]] => 504
[[],[[],[],[[[],[]]]]] => 756
[[],[[],[],[[[[]]]]]] => 1512
[[],[[],[[]],[],[],[]]] => 126
[[],[[],[[]],[],[[]]]] => 252
[[],[[],[[]],[[]],[]]] => 252
[[],[[],[[]],[[],[]]]] => 378
[[],[[],[[]],[[[]]]]] => 756
[[],[[],[[],[]],[],[]]] => 189
[[],[[],[[[]]],[],[]]] => 378
[[],[[],[[],[]],[[]]]] => 378
[[],[[],[[[]]],[[]]]] => 756
[[],[[],[[],[],[]],[]]] => 252
[[],[[],[[],[[]]],[]]] => 504
[[],[[],[[[]],[]],[]]] => 504
[[],[[],[[[],[]]],[]]] => 756
[[],[[],[[[[]]]],[]]] => 1512
[[],[[],[[],[],[],[]]]] => 315
[[],[[],[[],[],[[]]]]] => 630
[[],[[],[[],[[]],[]]]] => 630
[[],[[],[[],[[],[]]]]] => 945
[[],[[],[[],[[[]]]]]] => 1890
[[],[[],[[[]],[],[]]]] => 630
[[],[[],[[[]],[[]]]]] => 1260
[[],[[],[[[],[]],[]]]] => 945
[[],[[],[[[[]]],[]]]] => 1890
[[],[[],[[[],[],[]]]]] => 1260
[[],[[],[[[],[[]]]]]] => 2520
[[],[[],[[[[]],[]]]]] => 2520
[[],[[],[[[[],[]]]]]] => 3780
[[],[[],[[[[[]]]]]]] => 7560
[[],[[[]],[],[],[],[]]] => 126
[[],[[[]],[],[],[[]]]] => 252
[[],[[[]],[],[[]],[]]] => 252
[[],[[[]],[],[[],[]]]] => 378
[[],[[[]],[],[[[]]]]] => 756
[[],[[[]],[[]],[],[]]] => 252
[[],[[[]],[[]],[[]]]] => 504
[[],[[[]],[[],[]],[]]] => 378
[[],[[[]],[[[]]],[]]] => 756
[[],[[[]],[[],[],[]]]] => 504
[[],[[[]],[[],[[]]]]] => 1008
[[],[[[]],[[[]],[]]]] => 1008
[[],[[[]],[[[],[]]]]] => 1512
[[],[[[]],[[[[]]]]]] => 3024
[[],[[[],[]],[],[],[]]] => 189
[[],[[[[]]],[],[],[]]] => 378
[[],[[[],[]],[],[[]]]] => 378
[[],[[[[]]],[],[[]]]] => 756
[[],[[[],[]],[[]],[]]] => 378
[[],[[[[]]],[[]],[]]] => 756
[[],[[[],[]],[[],[]]]] => 567
[[],[[[],[]],[[[]]]]] => 1134
[[],[[[[]]],[[],[]]]] => 1134
[[],[[[[]]],[[[]]]]] => 2268
[[],[[[],[],[]],[],[]]] => 252
[[],[[[],[[]]],[],[]]] => 504
[[],[[[[]],[]],[],[]]] => 504
[[],[[[[],[]]],[],[]]] => 756
[[],[[[[[]]]],[],[]]] => 1512
[[],[[[],[],[]],[[]]]] => 504
[[],[[[],[[]]],[[]]]] => 1008
[[],[[[[]],[]],[[]]]] => 1008
[[],[[[[],[]]],[[]]]] => 1512
[[],[[[[[]]]],[[]]]] => 3024
[[],[[[],[],[],[]],[]]] => 315
[[],[[[],[],[[]]],[]]] => 630
[[],[[[],[[]],[]],[]]] => 630
[[],[[[],[[],[]]],[]]] => 945
[[],[[[],[[[]]]],[]]] => 1890
[[],[[[[]],[],[]],[]]] => 630
[[],[[[[]],[[]]],[]]] => 1260
[[],[[[[],[]],[]],[]]] => 945
[[],[[[[[]]],[]],[]]] => 1890
[[],[[[[],[],[]]],[]]] => 1260
[[],[[[[],[[]]]],[]]] => 2520
[[],[[[[[]],[]]],[]]] => 2520
[[],[[[[[],[]]]],[]]] => 3780
[[],[[[[[[]]]]],[]]] => 7560
[[],[[[],[],[],[],[]]]] => 378
[[],[[[],[],[],[[]]]]] => 756
[[],[[[],[],[[]],[]]]] => 756
[[],[[[],[],[[],[]]]]] => 1134
[[],[[[],[],[[[]]]]]] => 2268
[[],[[[],[[]],[],[]]]] => 756
[[],[[[],[[]],[[]]]]] => 1512
[[],[[[],[[],[]],[]]]] => 1134
[[],[[[],[[[]]],[]]]] => 2268
[[],[[[],[[],[],[]]]]] => 1512
[[],[[[],[[],[[]]]]]] => 3024
[[],[[[],[[[]],[]]]]] => 3024
[[],[[[],[[[],[]]]]]] => 4536
[[],[[[],[[[[]]]]]]] => 9072
[[],[[[[]],[],[],[]]]] => 756
[[],[[[[]],[],[[]]]]] => 1512
[[],[[[[]],[[]],[]]]] => 1512
[[],[[[[]],[[],[]]]]] => 2268
[[],[[[[]],[[[]]]]]] => 4536
[[],[[[[],[]],[],[]]]] => 1134
[[],[[[[[]]],[],[]]]] => 2268
[[],[[[[],[]],[[]]]]] => 2268
[[],[[[[[]]],[[]]]]] => 4536
[[],[[[[],[],[]],[]]]] => 1512
[[],[[[[],[[]]],[]]]] => 3024
[[],[[[[[]],[]],[]]]] => 3024
[[],[[[[[],[]]],[]]]] => 4536
[[],[[[[[[]]]],[]]]] => 9072
[[],[[[[],[],[],[]]]]] => 1890
[[],[[[[],[],[[]]]]]] => 3780
[[],[[[[],[[]],[]]]]] => 3780
[[],[[[[],[[],[]]]]]] => 5670
[[],[[[[],[[[]]]]]]] => 11340
[[],[[[[[]],[],[]]]]] => 3780
[[],[[[[[]],[[]]]]]] => 7560
[[],[[[[[],[]],[]]]]] => 5670
[[],[[[[[[]]],[]]]]] => 11340
[[],[[[[[],[],[]]]]]] => 7560
[[],[[[[[],[[]]]]]]] => 15120
[[],[[[[[[]],[]]]]]] => 15120
[[],[[[[[[],[]]]]]]] => 22680
[[],[[[[[[[]]]]]]]] => 45360
[[[]],[],[],[],[],[],[]] => 18
[[[]],[],[],[],[],[[]]] => 36
[[[]],[],[],[],[[]],[]] => 36
[[[]],[],[],[],[[],[]]] => 54
[[[]],[],[],[],[[[]]]] => 108
[[[]],[],[],[[]],[],[]] => 36
[[[]],[],[],[[]],[[]]] => 72
[[[]],[],[],[[],[]],[]] => 54
[[[]],[],[],[[[]]],[]] => 108
[[[]],[],[],[[],[],[]]] => 72
[[[]],[],[],[[],[[]]]] => 144
[[[]],[],[],[[[]],[]]] => 144
[[[]],[],[],[[[],[]]]] => 216
[[[]],[],[],[[[[]]]]] => 432
[[[]],[],[[]],[],[],[]] => 36
[[[]],[],[[]],[],[[]]] => 72
[[[]],[],[[]],[[]],[]] => 72
[[[]],[],[[]],[[],[]]] => 108
[[[]],[],[[]],[[[]]]] => 216
[[[]],[],[[],[]],[],[]] => 54
[[[]],[],[[[]]],[],[]] => 108
[[[]],[],[[],[]],[[]]] => 108
[[[]],[],[[[]]],[[]]] => 216
[[[]],[],[[],[],[]],[]] => 72
[[[]],[],[[],[[]]],[]] => 144
[[[]],[],[[[]],[]],[]] => 144
[[[]],[],[[[],[]]],[]] => 216
[[[]],[],[[[[]]]],[]] => 432
[[[]],[],[[],[],[],[]]] => 90
[[[]],[],[[],[],[[]]]] => 180
[[[]],[],[[],[[]],[]]] => 180
[[[]],[],[[],[[],[]]]] => 270
[[[]],[],[[],[[[]]]]] => 540
[[[]],[],[[[]],[],[]]] => 180
[[[]],[],[[[]],[[]]]] => 360
[[[]],[],[[[],[]],[]]] => 270
[[[]],[],[[[[]]],[]]] => 540
[[[]],[],[[[],[],[]]]] => 360
[[[]],[],[[[],[[]]]]] => 720
[[[]],[],[[[[]],[]]]] => 720
[[[]],[],[[[[],[]]]]] => 1080
[[[]],[],[[[[[]]]]]] => 2160
[[[]],[[]],[],[],[],[]] => 36
[[[]],[[]],[],[],[[]]] => 72
[[[]],[[]],[],[[]],[]] => 72
[[[]],[[]],[],[[],[]]] => 108
[[[]],[[]],[],[[[]]]] => 216
[[[]],[[]],[[]],[],[]] => 72
[[[]],[[]],[[]],[[]]] => 144
[[[]],[[]],[[],[]],[]] => 108
[[[]],[[]],[[[]]],[]] => 216
[[[]],[[]],[[],[],[]]] => 144
[[[]],[[]],[[],[[]]]] => 288
[[[]],[[]],[[[]],[]]] => 288
[[[]],[[]],[[[],[]]]] => 432
[[[]],[[]],[[[[]]]]] => 864
[[[]],[[],[]],[],[],[]] => 54
[[[]],[[[]]],[],[],[]] => 108
[[[]],[[],[]],[],[[]]] => 108
[[[]],[[[]]],[],[[]]] => 216
[[[]],[[],[]],[[]],[]] => 108
[[[]],[[[]]],[[]],[]] => 216
[[[]],[[],[]],[[],[]]] => 162
[[[]],[[],[]],[[[]]]] => 324
[[[]],[[[]]],[[],[]]] => 324
[[[]],[[[]]],[[[]]]] => 648
[[[]],[[],[],[]],[],[]] => 72
[[[]],[[],[[]]],[],[]] => 144
[[[]],[[[]],[]],[],[]] => 144
[[[]],[[[],[]]],[],[]] => 216
[[[]],[[[[]]]],[],[]] => 432
[[[]],[[],[],[]],[[]]] => 144
[[[]],[[],[[]]],[[]]] => 288
[[[]],[[[]],[]],[[]]] => 288
[[[]],[[[],[]]],[[]]] => 432
[[[]],[[[[]]]],[[]]] => 864
[[[]],[[],[],[],[]],[]] => 90
[[[]],[[],[],[[]]],[]] => 180
[[[]],[[],[[]],[]],[]] => 180
[[[]],[[],[[],[]]],[]] => 270
[[[]],[[],[[[]]]],[]] => 540
[[[]],[[[]],[],[]],[]] => 180
[[[]],[[[]],[[]]],[]] => 360
[[[]],[[[],[]],[]],[]] => 270
[[[]],[[[[]]],[]],[]] => 540
[[[]],[[[],[],[]]],[]] => 360
[[[]],[[[],[[]]]],[]] => 720
[[[]],[[[[]],[]]],[]] => 720
[[[]],[[[[],[]]]],[]] => 1080
[[[]],[[[[[]]]]],[]] => 2160
[[[]],[[],[],[],[],[]]] => 108
[[[]],[[],[],[],[[]]]] => 216
[[[]],[[],[],[[]],[]]] => 216
[[[]],[[],[],[[],[]]]] => 324
[[[]],[[],[],[[[]]]]] => 648
[[[]],[[],[[]],[],[]]] => 216
[[[]],[[],[[]],[[]]]] => 432
[[[]],[[],[[],[]],[]]] => 324
[[[]],[[],[[[]]],[]]] => 648
[[[]],[[],[[],[],[]]]] => 432
[[[]],[[],[[],[[]]]]] => 864
[[[]],[[],[[[]],[]]]] => 864
[[[]],[[],[[[],[]]]]] => 1296
[[[]],[[],[[[[]]]]]] => 2592
[[[]],[[[]],[],[],[]]] => 216
[[[]],[[[]],[],[[]]]] => 432
[[[]],[[[]],[[]],[]]] => 432
[[[]],[[[]],[[],[]]]] => 648
[[[]],[[[]],[[[]]]]] => 1296
[[[]],[[[],[]],[],[]]] => 324
[[[]],[[[[]]],[],[]]] => 648
[[[]],[[[],[]],[[]]]] => 648
[[[]],[[[[]]],[[]]]] => 1296
[[[]],[[[],[],[]],[]]] => 432
[[[]],[[[],[[]]],[]]] => 864
[[[]],[[[[]],[]],[]]] => 864
[[[]],[[[[],[]]],[]]] => 1296
[[[]],[[[[[]]]],[]]] => 2592
[[[]],[[[],[],[],[]]]] => 540
[[[]],[[[],[],[[]]]]] => 1080
[[[]],[[[],[[]],[]]]] => 1080
[[[]],[[[],[[],[]]]]] => 1620
[[[]],[[[],[[[]]]]]] => 3240
[[[]],[[[[]],[],[]]]] => 1080
[[[]],[[[[]],[[]]]]] => 2160
[[[]],[[[[],[]],[]]]] => 1620
[[[]],[[[[[]]],[]]]] => 3240
[[[]],[[[[],[],[]]]]] => 2160
[[[]],[[[[],[[]]]]]] => 4320
[[[]],[[[[[]],[]]]]] => 4320
[[[]],[[[[[],[]]]]]] => 6480
[[[]],[[[[[[]]]]]]] => 12960
[[[],[]],[],[],[],[],[]] => 27
[[[[]]],[],[],[],[],[]] => 54
[[[],[]],[],[],[],[[]]] => 54
[[[[]]],[],[],[],[[]]] => 108
[[[],[]],[],[],[[]],[]] => 54
[[[[]]],[],[],[[]],[]] => 108
[[[],[]],[],[],[[],[]]] => 81
[[[],[]],[],[],[[[]]]] => 162
[[[[]]],[],[],[[],[]]] => 162
[[[[]]],[],[],[[[]]]] => 324
[[[],[]],[],[[]],[],[]] => 54
[[[[]]],[],[[]],[],[]] => 108
[[[],[]],[],[[]],[[]]] => 108
[[[[]]],[],[[]],[[]]] => 216
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Created: Feb 25, 2016 at 09:25 by Martin Rubey
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Last Updated: Feb 25, 2016 at 09:25 by Martin Rubey