Identifier
Identifier
Values
[[]] generating graphics... => 1
[[],[]] generating graphics... => 2
[[[]]] generating graphics... => 1
[[],[],[]] generating graphics... => 6
[[],[[]]] generating graphics... => 3
[[[]],[]] generating graphics... => 3
[[[],[]]] generating graphics... => 2
[[[[]]]] generating graphics... => 1
[[],[],[],[]] generating graphics... => 24
[[],[],[[]]] generating graphics... => 12
[[],[[]],[]] generating graphics... => 12
[[],[[],[]]] generating graphics... => 8
[[],[[[]]]] generating graphics... => 4
[[[]],[],[]] generating graphics... => 12
[[[]],[[]]] generating graphics... => 6
[[[],[]],[]] generating graphics... => 8
[[[[]]],[]] generating graphics... => 4
[[[],[],[]]] generating graphics... => 6
[[[],[[]]]] generating graphics... => 3
[[[[]],[]]] generating graphics... => 3
[[[[],[]]]] generating graphics... => 2
[[[[[]]]]] generating graphics... => 1
[[],[],[],[],[]] generating graphics... => 120
[[],[],[],[[]]] generating graphics... => 60
[[],[],[[]],[]] generating graphics... => 60
[[],[],[[],[]]] generating graphics... => 40
[[],[],[[[]]]] generating graphics... => 20
[[],[[]],[],[]] generating graphics... => 60
[[],[[]],[[]]] generating graphics... => 30
[[],[[],[]],[]] generating graphics... => 40
[[],[[[]]],[]] generating graphics... => 20
[[],[[],[],[]]] generating graphics... => 30
[[],[[],[[]]]] generating graphics... => 15
[[],[[[]],[]]] generating graphics... => 15
[[],[[[],[]]]] generating graphics... => 10
[[],[[[[]]]]] generating graphics... => 5
[[[]],[],[],[]] generating graphics... => 60
[[[]],[],[[]]] generating graphics... => 30
[[[]],[[]],[]] generating graphics... => 30
[[[]],[[],[]]] generating graphics... => 20
[[[]],[[[]]]] generating graphics... => 10
[[[],[]],[],[]] generating graphics... => 40
[[[[]]],[],[]] generating graphics... => 20
[[[],[]],[[]]] generating graphics... => 20
[[[[]]],[[]]] generating graphics... => 10
[[[],[],[]],[]] generating graphics... => 30
[[[],[[]]],[]] generating graphics... => 15
[[[[]],[]],[]] generating graphics... => 15
[[[[],[]]],[]] generating graphics... => 10
[[[[[]]]],[]] generating graphics... => 5
[[[],[],[],[]]] generating graphics... => 24
[[[],[],[[]]]] generating graphics... => 12
[[[],[[]],[]]] generating graphics... => 12
[[[],[[],[]]]] generating graphics... => 8
[[[],[[[]]]]] generating graphics... => 4
[[[[]],[],[]]] generating graphics... => 12
[[[[]],[[]]]] generating graphics... => 6
[[[[],[]],[]]] generating graphics... => 8
[[[[[]]],[]]] generating graphics... => 4
[[[[],[],[]]]] generating graphics... => 6
[[[[],[[]]]]] generating graphics... => 3
[[[[[]],[]]]] generating graphics... => 3
[[[[[],[]]]]] generating graphics... => 2
[[[[[[]]]]]] generating graphics... => 1
[[],[],[],[],[],[]] generating graphics... => 720
[[],[],[],[],[[]]] generating graphics... => 360
[[],[],[],[[]],[]] generating graphics... => 360
[[],[],[],[[],[]]] generating graphics... => 240
[[],[],[],[[[]]]] generating graphics... => 120
[[],[],[[]],[],[]] generating graphics... => 360
[[],[],[[]],[[]]] generating graphics... => 180
[[],[],[[],[]],[]] generating graphics... => 240
[[],[],[[[]]],[]] generating graphics... => 120
[[],[],[[],[],[]]] generating graphics... => 180
[[],[],[[],[[]]]] generating graphics... => 90
[[],[],[[[]],[]]] generating graphics... => 90
[[],[],[[[],[]]]] generating graphics... => 60
[[],[],[[[[]]]]] generating graphics... => 30
[[],[[]],[],[],[]] generating graphics... => 360
[[],[[]],[],[[]]] generating graphics... => 180
[[],[[]],[[]],[]] generating graphics... => 180
[[],[[]],[[],[]]] generating graphics... => 120
[[],[[]],[[[]]]] generating graphics... => 60
[[],[[],[]],[],[]] generating graphics... => 240
[[],[[[]]],[],[]] generating graphics... => 120
[[],[[],[]],[[]]] generating graphics... => 120
[[],[[[]]],[[]]] generating graphics... => 60
[[],[[],[],[]],[]] generating graphics... => 180
[[],[[],[[]]],[]] generating graphics... => 90
[[],[[[]],[]],[]] generating graphics... => 90
[[],[[[],[]]],[]] generating graphics... => 60
[[],[[[[]]]],[]] generating graphics... => 30
[[],[[],[],[],[]]] generating graphics... => 144
[[],[[],[],[[]]]] generating graphics... => 72
[[],[[],[[]],[]]] generating graphics... => 72
[[],[[],[[],[]]]] generating graphics... => 48
[[],[[],[[[]]]]] generating graphics... => 24
[[],[[[]],[],[]]] generating graphics... => 72
[[],[[[]],[[]]]] generating graphics... => 36
[[],[[[],[]],[]]] generating graphics... => 48
[[],[[[[]]],[]]] generating graphics... => 24
[[],[[[],[],[]]]] generating graphics... => 36
[[],[[[],[[]]]]] generating graphics... => 18
[[],[[[[]],[]]]] generating graphics... => 18
[[],[[[[],[]]]]] generating graphics... => 12
[[],[[[[[]]]]]] generating graphics... => 6
[[[]],[],[],[],[]] generating graphics... => 360
[[[]],[],[],[[]]] generating graphics... => 180
[[[]],[],[[]],[]] generating graphics... => 180
[[[]],[],[[],[]]] generating graphics... => 120
[[[]],[],[[[]]]] generating graphics... => 60
[[[]],[[]],[],[]] generating graphics... => 180
[[[]],[[]],[[]]] generating graphics... => 90
[[[]],[[],[]],[]] generating graphics... => 120
[[[]],[[[]]],[]] generating graphics... => 60
[[[]],[[],[],[]]] generating graphics... => 90
[[[]],[[],[[]]]] generating graphics... => 45
[[[]],[[[]],[]]] generating graphics... => 45
[[[]],[[[],[]]]] generating graphics... => 30
[[[]],[[[[]]]]] generating graphics... => 15
[[[],[]],[],[],[]] generating graphics... => 240
[[[[]]],[],[],[]] generating graphics... => 120
[[[],[]],[],[[]]] generating graphics... => 120
[[[[]]],[],[[]]] generating graphics... => 60
[[[],[]],[[]],[]] generating graphics... => 120
[[[[]]],[[]],[]] generating graphics... => 60
[[[],[]],[[],[]]] generating graphics... => 80
[[[],[]],[[[]]]] generating graphics... => 40
[[[[]]],[[],[]]] generating graphics... => 40
[[[[]]],[[[]]]] generating graphics... => 20
[[[],[],[]],[],[]] generating graphics... => 180
[[[],[[]]],[],[]] generating graphics... => 90
[[[[]],[]],[],[]] generating graphics... => 90
[[[[],[]]],[],[]] generating graphics... => 60
[[[[[]]]],[],[]] generating graphics... => 30
[[[],[],[]],[[]]] generating graphics... => 90
[[[],[[]]],[[]]] generating graphics... => 45
[[[[]],[]],[[]]] generating graphics... => 45
[[[[],[]]],[[]]] generating graphics... => 30
[[[[[]]]],[[]]] generating graphics... => 15
[[[],[],[],[]],[]] generating graphics... => 144
[[[],[],[[]]],[]] generating graphics... => 72
[[[],[[]],[]],[]] generating graphics... => 72
[[[],[[],[]]],[]] generating graphics... => 48
[[[],[[[]]]],[]] generating graphics... => 24
[[[[]],[],[]],[]] generating graphics... => 72
[[[[]],[[]]],[]] generating graphics... => 36
[[[[],[]],[]],[]] generating graphics... => 48
[[[[[]]],[]],[]] generating graphics... => 24
[[[[],[],[]]],[]] generating graphics... => 36
[[[[],[[]]]],[]] generating graphics... => 18
[[[[[]],[]]],[]] generating graphics... => 18
[[[[[],[]]]],[]] generating graphics... => 12
[[[[[[]]]]],[]] generating graphics... => 6
[[[],[],[],[],[]]] generating graphics... => 120
[[[],[],[],[[]]]] generating graphics... => 60
[[[],[],[[]],[]]] generating graphics... => 60
[[[],[],[[],[]]]] generating graphics... => 40
[[[],[],[[[]]]]] generating graphics... => 20
[[[],[[]],[],[]]] generating graphics... => 60
[[[],[[]],[[]]]] generating graphics... => 30
[[[],[[],[]],[]]] generating graphics... => 40
[[[],[[[]]],[]]] generating graphics... => 20
[[[],[[],[],[]]]] generating graphics... => 30
[[[],[[],[[]]]]] generating graphics... => 15
[[[],[[[]],[]]]] generating graphics... => 15
[[[],[[[],[]]]]] generating graphics... => 10
[[[],[[[[]]]]]] generating graphics... => 5
[[[[]],[],[],[]]] generating graphics... => 60
[[[[]],[],[[]]]] generating graphics... => 30
[[[[]],[[]],[]]] generating graphics... => 30
[[[[]],[[],[]]]] generating graphics... => 20
[[[[]],[[[]]]]] generating graphics... => 10
[[[[],[]],[],[]]] generating graphics... => 40
[[[[[]]],[],[]]] generating graphics... => 20
[[[[],[]],[[]]]] generating graphics... => 20
[[[[[]]],[[]]]] generating graphics... => 10
[[[[],[],[]],[]]] generating graphics... => 30
[[[[],[[]]],[]]] generating graphics... => 15
[[[[[]],[]],[]]] generating graphics... => 15
[[[[[],[]]],[]]] generating graphics... => 10
[[[[[[]]]],[]]] generating graphics... => 5
[[[[],[],[],[]]]] generating graphics... => 24
[[[[],[],[[]]]]] generating graphics... => 12
[[[[],[[]],[]]]] generating graphics... => 12
[[[[],[[],[]]]]] generating graphics... => 8
[[[[],[[[]]]]]] generating graphics... => 4
[[[[[]],[],[]]]] generating graphics... => 12
[[[[[]],[[]]]]] generating graphics... => 6
[[[[[],[]],[]]]] generating graphics... => 8
[[[[[[]]],[]]]] generating graphics... => 4
[[[[[],[],[]]]]] generating graphics... => 6
[[[[[],[[]]]]]] generating graphics... => 3
[[[[[[]],[]]]]] generating graphics... => 3
[[[[[[],[]]]]]] generating graphics... => 2
[[[[[[[]]]]]]] generating graphics... => 1
[[],[[],[[[[]]]]]] generating graphics... => 35
[[],[[[[[]]]],[]]] generating graphics... => 35
[[],[[[],[[],[]]]]] generating graphics... => 56
[[],[[[],[[[]]]]]] generating graphics... => 28
[[],[[[[]],[[]]]]] generating graphics... => 42
[[],[[[[],[]],[]]]] generating graphics... => 56
[[],[[[[[]]],[]]]] generating graphics... => 28
[[],[[[[],[],[]]]]] generating graphics... => 42
[[],[[[[],[[]]]]]] generating graphics... => 21
[[],[[[[[]],[]]]]] generating graphics... => 21
[[],[[[[[],[]]]]]] generating graphics... => 14
[[],[[[[[[]]]]]]] generating graphics... => 7
[[[]],[[[[[]]]]]] generating graphics... => 21
[[[[[[]]]]],[[]]] generating graphics... => 21
[[[],[[[[]]]]],[]] generating graphics... => 35
[[[[[[]]]],[]],[]] generating graphics... => 35
[[[[],[[],[]]]],[]] generating graphics... => 56
[[[[],[[[]]]]],[]] generating graphics... => 28
[[[[[]],[[]]]],[]] generating graphics... => 42
[[[[[],[]],[]]],[]] generating graphics... => 56
[[[[[[]]],[]]],[]] generating graphics... => 28
[[[[[],[],[]]]],[]] generating graphics... => 42
[[[[[],[[]]]]],[]] generating graphics... => 21
[[[[[[]],[]]]],[]] generating graphics... => 21
[[[[[[],[]]]]],[]] generating graphics... => 14
[[[[[[[]]]]]],[]] generating graphics... => 7
[[],[[],[[],[[],[]]]]] generating graphics... => 384
[[],[[],[[[],[]],[]]]] generating graphics... => 384
[[],[[[],[]],[[],[]]]] generating graphics... => 640
[[],[[[],[[],[]]],[]]] generating graphics... => 384
[[],[[[[],[]],[]],[]]] generating graphics... => 384
[[],[[[[],[[[]]]]]]] generating graphics... => 32
[[],[[[[[[]]],[]]]]] generating graphics... => 32
[[],[[[[[],[],[]]]]]] generating graphics... => 48
[[],[[[[[],[[]]]]]]] generating graphics... => 24
[[],[[[[[[]],[]]]]]] generating graphics... => 24
[[],[[[[[[],[]]]]]]] generating graphics... => 16
[[],[[[[[[[]]]]]]]] generating graphics... => 8
[[[],[]],[[],[[],[]]]] generating graphics... => 896
[[[],[]],[[[],[]],[]]] generating graphics... => 896
[[[],[[],[]]],[[],[]]] generating graphics... => 896
[[[[],[]],[]],[[],[]]] generating graphics... => 896
[[[],[[],[[],[]]]],[]] generating graphics... => 384
[[[],[[[],[]],[]]],[]] generating graphics... => 384
[[[[],[]],[[],[]]],[]] generating graphics... => 640
[[[[],[[],[]]],[]],[]] generating graphics... => 384
[[[[[],[]],[]],[]],[]] generating graphics... => 384
[[[[[],[[[]]]]]],[]] generating graphics... => 32
[[[[[[[]]],[]]]],[]] generating graphics... => 32
[[[[[[],[],[]]]]],[]] generating graphics... => 48
[[[[[[],[[]]]]]],[]] generating graphics... => 24
[[[[[[[]],[]]]]],[]] generating graphics... => 24
[[[[[[[],[]]]]]],[]] generating graphics... => 16
[[[[[[[[]]]]]]],[]] generating graphics... => 8
[[[[[[[[[]]]]]]]],[]] generating graphics... => 9
[[],[[[[[[[[]]]]]]]]] generating graphics... => 9
[[[[[[[[],[]]]]]]],[]] generating graphics... => 18
[[],[[[[[[[],[]]]]]]]] generating graphics... => 18
[[[[[[[[]],[]]]]]],[]] generating graphics... => 27
[[[[[[[],[[]]]]]]],[]] generating graphics... => 27
[[],[[[[[[[]],[]]]]]]] generating graphics... => 27
[[],[[[[[[],[[]]]]]]]] generating graphics... => 27
[[],[[],[[],[[],[[],[]]]]]] generating graphics... => 3840
[[],[[],[[],[[[],[]],[]]]]] generating graphics... => 3840
[[],[[],[[[],[]],[[],[]]]]] generating graphics... => 6400
[[],[[],[[[],[[],[]]],[]]]] generating graphics... => 3840
[[],[[],[[[[],[]],[]],[]]]] generating graphics... => 3840
[[],[[[],[]],[[],[[],[]]]]] generating graphics... => 8960
[[],[[[],[]],[[[],[]],[]]]] generating graphics... => 8960
[[],[[[],[[],[]]],[[],[]]]] generating graphics... => 8960
[[],[[[[],[]],[]],[[],[]]]] generating graphics... => 8960
[[],[[[],[[],[[],[]]]],[]]] generating graphics... => 3840
[[],[[[],[[[],[]],[]]],[]]] generating graphics... => 3840
[[],[[[[],[]],[[],[]]],[]]] generating graphics... => 6400
[[],[[[[],[[],[]]],[]],[]]] generating graphics... => 3840
[[],[[[[[],[]],[]],[]],[]]] generating graphics... => 3840
[[[],[]],[[],[[],[[],[]]]]] generating graphics... => 11520
[[[],[]],[[],[[[],[]],[]]]] generating graphics... => 11520
[[[],[]],[[[],[]],[[],[]]]] generating graphics... => 19200
[[[],[]],[[[],[[],[]]],[]]] generating graphics... => 11520
[[[],[]],[[[[],[]],[]],[]]] generating graphics... => 11520
[[[],[[],[]]],[[],[[],[]]]] generating graphics... => 16128
[[[],[[],[]]],[[[],[]],[]]] generating graphics... => 16128
[[[[],[]],[]],[[],[[],[]]]] generating graphics... => 16128
[[[[],[]],[]],[[[],[]],[]]] generating graphics... => 16128
[[[],[[],[[],[]]]],[[],[]]] generating graphics... => 11520
[[[],[[[],[]],[]]],[[],[]]] generating graphics... => 11520
[[[[],[]],[[],[]]],[[],[]]] generating graphics... => 19200
[[[[],[[],[]]],[]],[[],[]]] generating graphics... => 11520
[[[[[],[]],[]],[]],[[],[]]] generating graphics... => 11520
[[[],[[],[[],[[],[]]]]],[]] generating graphics... => 3840
[[[],[[],[[[],[]],[]]]],[]] generating graphics... => 3840
[[[],[[[],[]],[[],[]]]],[]] generating graphics... => 6400
[[[],[[[],[[],[]]],[]]],[]] generating graphics... => 3840
[[[],[[[[],[]],[]],[]]],[]] generating graphics... => 3840
[[[[],[]],[[],[[],[]]]],[]] generating graphics... => 8960
[[[[],[]],[[[],[]],[]]],[]] generating graphics... => 8960
[[[[],[[],[]]],[[],[]]],[]] generating graphics... => 8960
[[[[[],[]],[]],[[],[]]],[]] generating graphics... => 8960
[[[[],[[],[[],[]]]],[]],[]] generating graphics... => 3840
[[[[],[[[],[]],[]]],[]],[]] generating graphics... => 3840
[[[[[],[]],[[],[]]],[]],[]] generating graphics... => 6400
[[[[[],[[],[]]],[]],[]],[]] generating graphics... => 3840
[[[[[[],[]],[]],[]],[]],[]] generating graphics... => 3840
[[[[[[[[[[]]]]]]]]],[]] generating graphics... => 10
[[],[[[[[[[[[]]]]]]]]]] generating graphics... => 10
[[[[[[[[[],[]]]]]]]],[]] generating graphics... => 20
[[],[[[[[[[[],[]]]]]]]]] generating graphics... => 20
[[[[[[[[[[[]]]]]]]]]],[]] generating graphics... => 11
[[],[[[[[[[[[[]]]]]]]]]]] generating graphics... => 11
[[],[[],[[],[[],[[],[[],[]]]]]]] generating graphics... => 46080
[[],[[],[[],[[],[[[],[]],[]]]]]] generating graphics... => 46080
[[],[[],[[],[[[],[]],[[],[]]]]]] generating graphics... => 76800
[[],[[],[[],[[[],[[],[]]],[]]]]] generating graphics... => 46080
[[],[[],[[],[[[[],[]],[]],[]]]]] generating graphics... => 46080
[[],[[],[[[],[]],[[],[[],[]]]]]] generating graphics... => 107520
[[],[[],[[[],[]],[[[],[]],[]]]]] generating graphics... => 107520
[[],[[],[[[],[[],[]]],[[],[]]]]] generating graphics... => 107520
[[],[[],[[[[],[]],[]],[[],[]]]]] generating graphics... => 107520
[[],[[],[[[],[[],[[],[]]]],[]]]] generating graphics... => 46080
[[],[[],[[[],[[[],[]],[]]],[]]]] generating graphics... => 46080
[[],[[],[[[[],[]],[[],[]]],[]]]] generating graphics... => 76800
[[],[[],[[[[],[[],[]]],[]],[]]]] generating graphics... => 46080
[[],[[],[[[[[],[]],[]],[]],[]]]] generating graphics... => 46080
[[],[[[],[]],[[],[[],[[],[]]]]]] generating graphics... => 138240
[[],[[[],[]],[[],[[[],[]],[]]]]] generating graphics... => 138240
[[],[[[],[]],[[[],[]],[[],[]]]]] generating graphics... => 230400
[[],[[[],[]],[[[],[[],[]]],[]]]] generating graphics... => 138240
[[],[[[],[]],[[[[],[]],[]],[]]]] generating graphics... => 138240
[[],[[[],[[],[]]],[[],[[],[]]]]] generating graphics... => 193536
[[],[[[],[[],[]]],[[[],[]],[]]]] generating graphics... => 193536
[[],[[[[],[]],[]],[[],[[],[]]]]] generating graphics... => 193536
[[],[[[[],[]],[]],[[[],[]],[]]]] generating graphics... => 193536
[[],[[[],[[],[[],[]]]],[[],[]]]] generating graphics... => 138240
[[],[[[],[[[],[]],[]]],[[],[]]]] generating graphics... => 138240
[[],[[[[],[]],[[],[]]],[[],[]]]] generating graphics... => 230400
[[],[[[[],[[],[]]],[]],[[],[]]]] generating graphics... => 138240
[[],[[[[[],[]],[]],[]],[[],[]]]] generating graphics... => 138240
[[],[[[],[[],[[],[[],[]]]]],[]]] generating graphics... => 46080
[[],[[[],[[],[[[],[]],[]]]],[]]] generating graphics... => 46080
[[],[[[],[[[],[]],[[],[]]]],[]]] generating graphics... => 76800
[[],[[[],[[[],[[],[]]],[]]],[]]] generating graphics... => 46080
[[],[[[],[[[[],[]],[]],[]]],[]]] generating graphics... => 46080
[[],[[[[],[]],[[],[[],[]]]],[]]] generating graphics... => 107520
[[],[[[[],[]],[[[],[]],[]]],[]]] generating graphics... => 107520
[[],[[[[],[[],[]]],[[],[]]],[]]] generating graphics... => 107520
[[],[[[[[],[]],[]],[[],[]]],[]]] generating graphics... => 107520
[[],[[[[],[[],[[],[]]]],[]],[]]] generating graphics... => 46080
[[],[[[[],[[[],[]],[]]],[]],[]]] generating graphics... => 46080
[[],[[[[[],[]],[[],[]]],[]],[]]] generating graphics... => 76800
[[],[[[[[],[[],[]]],[]],[]],[]]] generating graphics... => 46080
[[],[[[[[[],[]],[]],[]],[]],[]]] generating graphics... => 46080
[[[],[]],[[],[[],[[],[[],[]]]]]] generating graphics... => 168960
[[[],[]],[[],[[],[[[],[]],[]]]]] generating graphics... => 168960
[[[],[]],[[],[[[],[]],[[],[]]]]] generating graphics... => 281600
[[[],[]],[[],[[[],[[],[]]],[]]]] generating graphics... => 168960
[[[],[]],[[],[[[[],[]],[]],[]]]] generating graphics... => 168960
[[[],[]],[[[],[]],[[],[[],[]]]]] generating graphics... => 394240
[[[],[]],[[[],[]],[[[],[]],[]]]] generating graphics... => 394240
[[[],[]],[[[],[[],[]]],[[],[]]]] generating graphics... => 394240
[[[],[]],[[[[],[]],[]],[[],[]]]] generating graphics... => 394240
[[[],[]],[[[],[[],[[],[]]]],[]]] generating graphics... => 168960
[[[],[]],[[[],[[[],[]],[]]],[]]] generating graphics... => 168960
[[[],[]],[[[[],[]],[[],[]]],[]]] generating graphics... => 281600
[[[],[]],[[[[],[[],[]]],[]],[]]] generating graphics... => 168960
[[[],[]],[[[[[],[]],[]],[]],[]]] generating graphics... => 168960
[[[],[[],[]]],[[],[[],[[],[]]]]] generating graphics... => 304128
[[[],[[],[]]],[[],[[[],[]],[]]]] generating graphics... => 304128
[[[],[[],[]]],[[[],[]],[[],[]]]] generating graphics... => 506880
[[[],[[],[]]],[[[],[[],[]]],[]]] generating graphics... => 304128
[[[],[[],[]]],[[[[],[]],[]],[]]] generating graphics... => 304128
[[[[],[]],[]],[[],[[],[[],[]]]]] generating graphics... => 304128
[[[[],[]],[]],[[],[[[],[]],[]]]] generating graphics... => 304128
[[[[],[]],[]],[[[],[]],[[],[]]]] generating graphics... => 506880
[[[[],[]],[]],[[[],[[],[]]],[]]] generating graphics... => 304128
[[[[],[]],[]],[[[[],[]],[]],[]]] generating graphics... => 304128
[[[],[[],[[],[]]]],[[],[[],[]]]] generating graphics... => 304128
[[[],[[],[[],[]]]],[[[],[]],[]]] generating graphics... => 304128
[[[],[[[],[]],[]]],[[],[[],[]]]] generating graphics... => 304128
[[[],[[[],[]],[]]],[[[],[]],[]]] generating graphics... => 304128
[[[[],[]],[[],[]]],[[],[[],[]]]] generating graphics... => 506880
[[[[],[]],[[],[]]],[[[],[]],[]]] generating graphics... => 506880
[[[[],[[],[]]],[]],[[],[[],[]]]] generating graphics... => 304128
[[[[],[[],[]]],[]],[[[],[]],[]]] generating graphics... => 304128
[[[[[],[]],[]],[]],[[],[[],[]]]] generating graphics... => 304128
[[[[[],[]],[]],[]],[[[],[]],[]]] generating graphics... => 304128
[[[],[[],[[],[[],[]]]]],[[],[]]] generating graphics... => 168960
[[[],[[],[[[],[]],[]]]],[[],[]]] generating graphics... => 168960
[[[],[[[],[]],[[],[]]]],[[],[]]] generating graphics... => 281600
[[[],[[[],[[],[]]],[]]],[[],[]]] generating graphics... => 168960
[[[],[[[[],[]],[]],[]]],[[],[]]] generating graphics... => 168960
[[[[],[]],[[],[[],[]]]],[[],[]]] generating graphics... => 394240
[[[[],[]],[[[],[]],[]]],[[],[]]] generating graphics... => 394240
[[[[],[[],[]]],[[],[]]],[[],[]]] generating graphics... => 394240
[[[[[],[]],[]],[[],[]]],[[],[]]] generating graphics... => 394240
[[[[],[[],[[],[]]]],[]],[[],[]]] generating graphics... => 168960
[[[[],[[[],[]],[]]],[]],[[],[]]] generating graphics... => 168960
[[[[[],[]],[[],[]]],[]],[[],[]]] generating graphics... => 281600
[[[[[],[[],[]]],[]],[]],[[],[]]] generating graphics... => 168960
[[[[[[],[]],[]],[]],[]],[[],[]]] generating graphics... => 168960
[[[],[[],[[],[[],[[],[]]]]]],[]] generating graphics... => 46080
[[[],[[],[[],[[[],[]],[]]]]],[]] generating graphics... => 46080
[[[],[[],[[[],[]],[[],[]]]]],[]] generating graphics... => 76800
[[[],[[],[[[],[[],[]]],[]]]],[]] generating graphics... => 46080
[[[],[[],[[[[],[]],[]],[]]]],[]] generating graphics... => 46080
[[[],[[[],[]],[[],[[],[]]]]],[]] generating graphics... => 107520
[[[],[[[],[]],[[[],[]],[]]]],[]] generating graphics... => 107520
[[[],[[[],[[],[]]],[[],[]]]],[]] generating graphics... => 107520
[[[],[[[[],[]],[]],[[],[]]]],[]] generating graphics... => 107520
[[[],[[[],[[],[[],[]]]],[]]],[]] generating graphics... => 46080
[[[],[[[],[[[],[]],[]]],[]]],[]] generating graphics... => 46080
[[[],[[[[],[]],[[],[]]],[]]],[]] generating graphics... => 76800
[[[],[[[[],[[],[]]],[]],[]]],[]] generating graphics... => 46080
[[[],[[[[[],[]],[]],[]],[]]],[]] generating graphics... => 46080
[[[[],[]],[[],[[],[[],[]]]]],[]] generating graphics... => 138240
[[[[],[]],[[],[[[],[]],[]]]],[]] generating graphics... => 138240
[[[[],[]],[[[],[]],[[],[]]]],[]] generating graphics... => 230400
[[[[],[]],[[[],[[],[]]],[]]],[]] generating graphics... => 138240
[[[[],[]],[[[[],[]],[]],[]]],[]] generating graphics... => 138240
[[[[],[[],[]]],[[],[[],[]]]],[]] generating graphics... => 193536
[[[[],[[],[]]],[[[],[]],[]]],[]] generating graphics... => 193536
[[[[[],[]],[]],[[],[[],[]]]],[]] generating graphics... => 193536
[[[[[],[]],[]],[[[],[]],[]]],[]] generating graphics... => 193536
[[[[],[[],[[],[]]]],[[],[]]],[]] generating graphics... => 138240
[[[[],[[[],[]],[]]],[[],[]]],[]] generating graphics... => 138240
[[[[[],[]],[[],[]]],[[],[]]],[]] generating graphics... => 230400
[[[[[],[[],[]]],[]],[[],[]]],[]] generating graphics... => 138240
[[[[[[],[]],[]],[]],[[],[]]],[]] generating graphics... => 138240
[[[[],[[],[[],[[],[]]]]],[]],[]] generating graphics... => 46080
[[[[],[[],[[[],[]],[]]]],[]],[]] generating graphics... => 46080
[[[[],[[[],[]],[[],[]]]],[]],[]] generating graphics... => 76800
[[[[],[[[],[[],[]]],[]]],[]],[]] generating graphics... => 46080
[[[[],[[[[],[]],[]],[]]],[]],[]] generating graphics... => 46080
[[[[[],[]],[[],[[],[]]]],[]],[]] generating graphics... => 107520
[[[[[],[]],[[[],[]],[]]],[]],[]] generating graphics... => 107520
[[[[[],[[],[]]],[[],[]]],[]],[]] generating graphics... => 107520
[[[[[[],[]],[]],[[],[]]],[]],[]] generating graphics... => 107520
[[[[[],[[],[[],[]]]],[]],[]],[]] generating graphics... => 46080
[[[[[],[[[],[]],[]]],[]],[]],[]] generating graphics... => 46080
[[[[[[],[]],[[],[]]],[]],[]],[]] generating graphics... => 76800
[[[[[[],[[],[]]],[]],[]],[]],[]] generating graphics... => 46080
[[[[[[[],[]],[]],[]],[]],[]],[]] generating graphics... => 46080
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Description
The number of linear extensions of the tree.
We use Knuth's hook length formula for trees [pg.70, 1]. For an ordered tree $T$ on $n$ vertices, the number of linear extensions is
$$ \frac{n!}{\prod_{v\in T}|T_v|}, $$
where $T_v$ is the number of vertices of the subtree rooted at $v$.
References
[1] Knuth, D. E. The art of computer programming. Volume 3 MathSciNet:0445948
Code
def tree_hook_product(tree):
    hook_products = [tree_hook_product(t) for t in tree]
    return prod(hook_products)*tree.node_number()
    
def tree_hook_formula(tree):
    return factorial(tree.node_number())/tree_hook_product(tree)

def statistic(t):
    return tree_hook_formula(t)
Created
Jun 13, 2013 at 10:24 by Viviane Pons
Updated
Mar 20, 2019 at 00:53 by Martin Rubey