***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * 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 ----------------------------------------------------------------------------- Created: Feb 25, 2016 at 09:25 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Feb 25, 2016 at 09:25 by Martin Rubey