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------------------------------------------------------------------------
Map identifier: Mp00024
------------------------------------------------------------------------
Map name: to 321-avoiding permutation
------------------------------------------------------------------------
Domain: Dyck paths
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
------------------------------------------------------------------------
References: [1] Elizalde, S., Pak, I. Bijections for refined restricted permutations [[MathSciNet:2046080]]
[2] Claesson, A., Kitaev, S. Classification of bijections between 321- and 132-avoiding permutations [[MathSciNet:2465405]]
[3] Knuth, D. E. The art of computer programming. Vol. 3 [[MathSciNet:3077154]]
------------------------------------------------------------------------
Code:
def mapping(elt):
A, B = elt.to_pair_of_standard_tableaux()
return RSK_inverse(A, B, output='permutation')
------------------------------------------------------------------------
Map images:
[1,0] => [1]
[1,0,1,0] => [2,1]
[1,1,0,0] => [1,2]
[1,0,1,0,1,0] => [2,1,3]
[1,0,1,1,0,0] => [2,3,1]
[1,1,0,0,1,0] => [3,1,2]
[1,1,0,1,0,0] => [1,3,2]
[1,1,1,0,0,0] => [1,2,3]
[1,0,1,0,1,0,1,0] => [2,1,4,3]
[1,0,1,0,1,1,0,0] => [2,4,1,3]
[1,0,1,1,0,0,1,0] => [2,1,3,4]
[1,0,1,1,0,1,0,0] => [2,3,1,4]
[1,0,1,1,1,0,0,0] => [2,3,4,1]
[1,1,0,0,1,0,1,0] => [3,1,4,2]
[1,1,0,0,1,1,0,0] => [3,4,1,2]
[1,1,0,1,0,0,1,0] => [3,1,2,4]
[1,1,0,1,0,1,0,0] => [1,3,2,4]
[1,1,0,1,1,0,0,0] => [1,3,4,2]
[1,1,1,0,0,0,1,0] => [4,1,2,3]
[1,1,1,0,0,1,0,0] => [1,4,2,3]
[1,1,1,0,1,0,0,0] => [1,2,4,3]
[1,1,1,1,0,0,0,0] => [1,2,3,4]
[1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5]
[1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,5]
[1,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3]
[1,0,1,0,1,1,0,1,0,0] => [2,4,1,5,3]
[1,0,1,0,1,1,1,0,0,0] => [2,4,5,1,3]
[1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,4]
[1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,4]
[1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,4]
[1,0,1,1,0,1,0,1,0,0] => [2,3,1,5,4]
[1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4]
[1,0,1,1,1,0,0,0,1,0] => [2,1,3,4,5]
[1,0,1,1,1,0,0,1,0,0] => [2,3,1,4,5]
[1,0,1,1,1,0,1,0,0,0] => [2,3,4,1,5]
[1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1]
[1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,5]
[1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,5]
[1,1,0,0,1,1,0,0,1,0] => [3,1,4,5,2]
[1,1,0,0,1,1,0,1,0,0] => [3,4,1,5,2]
[1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2]
[1,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4]
[1,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4]
[1,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4]
[1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4]
[1,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4]
[1,1,0,1,1,0,0,0,1,0] => [3,1,2,4,5]
[1,1,0,1,1,0,0,1,0,0] => [1,3,2,4,5]
[1,1,0,1,1,0,1,0,0,0] => [1,3,4,2,5]
[1,1,0,1,1,1,0,0,0,0] => [1,3,4,5,2]
[1,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3]
[1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3]
[1,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3]
[1,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3]
[1,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3]
[1,1,1,0,1,0,0,0,1,0] => [4,1,2,3,5]
[1,1,1,0,1,0,0,1,0,0] => [1,4,2,3,5]
[1,1,1,0,1,0,1,0,0,0] => [1,2,4,3,5]
[1,1,1,0,1,1,0,0,0,0] => [1,2,4,5,3]
[1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0] => [1,5,2,3,4]
[1,1,1,1,0,0,1,0,0,0] => [1,2,5,3,4]
[1,1,1,1,0,1,0,0,0,0] => [1,2,3,5,4]
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5]
[1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5]
[1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5]
[1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5]
[1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5]
[1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5]
[1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6]
[1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,5,6]
[1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6]
[1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,5,3,6]
[1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,5,1,3,6]
[1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,5,6,3]
[1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,5,6,3]
[1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,5,1,6,3]
[1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,5,6,1,3]
[1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4]
[1,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4]
[1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4]
[1,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4]
[1,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4]
[1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,6]
[1,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,6]
[1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,6]
[1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,6]
[1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,6]
[1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,3,5,6,4]
[1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,1,5,6,4]
[1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,1,6,4]
[1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,6,1,4]
[1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5]
[1,0,1,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5]
[1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5]
[1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5]
[1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5]
[1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5]
[1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5]
[1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5]
[1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5]
[1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,5,6]
[1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,5,6]
[1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,4,1,5,6]
[1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,5,1,6]
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1]
[1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5]
[1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5]
[1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5]
[1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5]
[1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5]
[1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,5,6]
[1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,5,6]
[1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,5,2,6]
[1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,5,2,6]
[1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,5,1,2,6]
[1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,5,6,2]
[1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,5,6,2]
[1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,5,1,6,2]
[1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,6,4]
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,6,4]
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,6,2,4]
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,6,2,4]
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,5,6,1,2,4]
[1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,6]
[1,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,6]
[1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,6]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,6]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,6]
[1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,6,4]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,6,4]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,6,4]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,6,2,4]
[1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5]
[1,1,0,1,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5]
[1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5]
[1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5]
[1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,5,6]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,4,5,6]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,4,2,5,6]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,4,5,2,6]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,4,5,6,2]
[1,1,1,0,0,0,1,0,1,0,1,0] => [4,1,5,2,6,3]
[1,1,1,0,0,0,1,0,1,1,0,0] => [4,5,1,2,6,3]
[1,1,1,0,0,0,1,1,0,0,1,0] => [4,1,5,6,2,3]
[1,1,1,0,0,0,1,1,0,1,0,0] => [4,5,1,6,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3]
[1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,3,6]
[1,1,1,0,0,1,0,0,1,1,0,0] => [4,5,1,2,3,6]
[1,1,1,0,0,1,0,1,0,0,1,0] => [4,1,2,5,3,6]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,2,5,3,6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6]
[1,1,1,0,0,1,1,0,0,0,1,0] => [4,1,2,5,6,3]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,5,6,3]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,5,2,6,3]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,5,6,2,3]
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5]
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5]
[1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5]
[1,1,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5]
[1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,5,6]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,5,6]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,5,6]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,4,5,3,6]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,2,4,5,6,3]
[1,1,1,1,0,0,0,0,1,0,1,0] => [5,1,6,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,4]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,2,6,3,4]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,6,2,3,4]
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,1,2,3,6,4]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,3,6,4]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,5,3,6,4]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,5,6,3,4]
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,6]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,6]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,6]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,6]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,5,6,4]
[1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,7]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,7]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,7,4]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,7,4]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,7,4]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,5,6,7,2,4]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,5,1,6,7,2,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,5,6,1,7,2,4]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,5,6,7,1,2,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,5,2,7,4,6]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,5,1,2,7,4,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,5,7,2,4,6]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,5,1,7,2,4,6]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,5,7,1,2,4,6]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,5,2,4,7,6]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,5,1,2,4,7,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,2,5,4,7,6]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,2,5,4,7,6]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,2,4,7,6]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,2,5,7,4,6]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,3,2,5,7,4,6]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,2,7,4,6]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,7,2,4,6]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,5,2,4,6,7]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,5,1,2,4,6,7]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,5,4,6,7]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,3,2,5,4,6,7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,4,6,7]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,5,6,4,7]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,3,2,5,6,4,7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,2,6,4,7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,6,2,4,7]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,5,6,7,4]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,3,2,5,6,7,4]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,6,7,4]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,6,2,7,4]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,6,7,2,4]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,6,2,7,4,5]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,6,1,2,7,4,5]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,6,7,2,4,5]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,6,1,7,2,4,5]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,6,7,1,2,4,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,6,2,4,7,5]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,6,1,2,4,7,5]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,2,6,4,7,5]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,4,7,5]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,6,2,4,7,5]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,2,6,7,4,5]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,7,4,5]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,3,6,2,7,4,5]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,3,6,7,2,4,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,6,2,4,5,7]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,6,1,2,4,5,7]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,1,2,6,4,5,7]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,6,4,5,7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,4,5,7]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,4,6,5,7]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,3,2,4,6,5,7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,4,2,6,5,7]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,3,4,6,2,5,7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,2,4,6,7,5]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,4,6,7,5]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,4,2,6,7,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,4,6,2,7,5]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,3,4,6,7,2,5]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,7,2,4,5,6]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,7,1,2,4,5,6]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,7,4,5,6]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,7,4,5,6]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,7,2,4,5,6]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,2,4,7,5,6]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,4,7,5,6]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,4,2,7,5,6]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,1,2,4,5,7,6]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,3,2,4,5,7,6]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,4,2,5,7,6]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,4,5,2,7,6]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,3,4,5,7,2,6]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,6,7]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,6,7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,3,4,2,5,6,7]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,3,4,5,2,6,7]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,4,5,6,2,7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,4,5,6,7,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,5,2,6,3,7]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,5,1,2,6,3,7]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,5,6,2,3,7]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,5,1,6,2,3,7]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,5,6,1,2,3,7]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,5,1,2,6,7,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,5,1,6,2,7,3]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,5,6,1,2,7,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,5,6,7,2,3]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,5,1,6,7,2,3]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,5,6,1,7,2,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,5,6,7,1,2,3]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,5,2,7,3,6]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,5,1,2,7,3,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,5,7,2,3,6]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,5,1,7,2,3,6]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,5,7,1,2,3,6]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [4,1,5,2,3,7,6]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [4,5,1,2,3,7,6]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [4,1,2,5,3,7,6]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,2,5,3,7,6]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,2,3,7,6]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,5,7,3,6]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,2,5,7,3,6]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,2,7,3,6]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,7,2,3,6]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [4,1,5,2,3,6,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3,6,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [4,1,2,5,3,6,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,5,3,6,7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,5,2,3,6,7]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,5,6,3,7]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,2,5,6,3,7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,5,2,6,3,7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,5,6,2,3,7]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [4,1,2,5,6,7,3]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,5,6,7,3]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,5,2,6,7,3]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,5,6,2,7,3]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,5,6,7,2,3]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,6,2,7,3,5]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,6,1,2,7,3,5]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,6,7,2,3,5]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,6,1,7,2,3,5]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,6,7,1,2,3,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,6,2,3,7,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,6,1,2,3,7,5]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,2,6,3,7,5]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,4,2,6,3,7,5]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,4,6,2,3,7,5]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,6,7,3,5]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,7,3,5]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,7,3,5]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,4,6,7,2,3,5]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,6,2,3,5,7]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,6,1,2,3,5,7]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,2,6,3,5,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,4,2,6,3,5,7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,4,6,2,3,5,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,2,3,6,5,7]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,4,2,3,6,5,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,4,3,6,5,7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,4,6,3,5,7]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,7,5]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,4,2,3,6,7,5]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,2,4,3,6,7,5]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,2,4,6,3,7,5]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,2,4,6,7,3,5]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,7,2,3,5,6]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,7,1,2,3,5,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,7,3,5,6]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,4,2,7,3,5,6]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,4,7,2,3,5,6]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,2,3,7,5,6]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,4,2,3,7,5,6]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,2,4,3,7,5,6]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,2,4,7,3,5,6]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,2,3,5,7,6]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,3,5,7,6]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,2,4,3,5,7,6]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,2,4,5,3,7,6]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,4,5,7,3,6]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,6,7]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,4,2,3,5,6,7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,2,4,3,5,6,7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,4,5,3,6,7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,2,4,5,6,3,7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,2,4,5,6,7,3]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,6,2,7,3,4]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,6,1,2,7,3,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,1,6,7,2,3,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,6,1,7,2,3,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,6,7,1,2,3,4]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,6,2,3,7,4]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,6,1,2,3,7,4]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [5,1,2,6,3,7,4]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,5,2,6,3,7,4]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,5,6,2,3,7,4]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [5,1,2,6,7,3,4]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,5,2,6,7,3,4]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,5,6,2,7,3,4]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,5,6,7,2,3,4]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,6,2,3,4,7]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,6,1,2,3,4,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [5,1,2,6,3,4,7]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,3,4,7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,6,2,3,4,7]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [5,1,2,3,6,4,7]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,2,3,6,4,7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,2,5,3,6,4,7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,5,6,3,4,7]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [5,1,2,3,6,7,4]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,6,7,4]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,5,3,6,7,4]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,2,5,6,3,7,4]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,2,5,6,7,3,4]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,7,2,3,4,6]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,7,1,2,3,4,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,7,3,4,6]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,5,2,7,3,4,6]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,5,7,2,3,4,6]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,2,3,7,4,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,5,2,3,7,4,6]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,2,5,3,7,4,6]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,2,5,7,3,4,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,1,2,3,4,7,6]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,5,2,3,4,7,6]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,2,5,3,4,7,6]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,5,4,7,6]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,3,5,7,4,6]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,6,7]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,5,2,3,4,6,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,5,3,4,6,7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,3,5,4,6,7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,5,6,4,7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,2,3,5,6,7,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,7,2,3,4,5]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,7,1,2,3,4,5]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1,2,7,3,4,5]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,6,2,7,3,4,5]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,7,2,3,4,5]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1,2,3,7,4,5]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,6,2,3,7,4,5]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,3,7,4,5]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,7,3,4,5]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1,2,3,4,7,5]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,4,7,5]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,6,3,4,7,5]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,2,3,6,4,7,5]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,2,3,6,7,4,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,6,2,3,4,5,7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5,7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,6,4,5,7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,3,4,6,5,7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,4,6,7,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7,2,3,4,5,6]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,7,3,4,5,6]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,3,7,4,5,6]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,3,4,7,5,6]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,3,4,5,7,6]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,6,5,8,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,4,1,3,6,5,8,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,6,3,5,8,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,4,1,6,3,5,8,7]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,4,6,1,3,5,8,7]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,8,5,7]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,4,1,3,6,8,5,7]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,8,5,7]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,4,1,6,3,8,5,7]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,4,6,1,3,8,5,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,6,8,3,5,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,4,1,6,8,3,5,7]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,4,6,1,8,3,5,7]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,4,6,8,1,3,5,7]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,5,7,8]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,4,1,3,6,5,7,8]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,6,3,5,7,8]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,4,1,6,3,5,7,8]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,4,6,1,3,5,7,8]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5,8]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,3,6,7,5,8]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5,8]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,1,6,3,7,5,8]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,6,1,3,7,5,8]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,7,3,5,8]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,7,3,5,8]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,7,3,5,8]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,6,7,1,3,5,8]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,6,7,8,5]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,7,8,5]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,6,3,7,8,5]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,6,3,7,8,5]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,4,6,1,3,7,8,5]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,6,7,3,8,5]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,4,1,6,7,3,8,5]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,4,6,1,7,3,8,5]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,4,6,7,1,3,8,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,6,7,8,3,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1,6,7,8,3,5]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,4,6,1,7,8,3,5]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,4,6,7,1,8,3,5]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,4,6,7,8,1,3,5]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,7,5,8,6]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,4,1,3,7,5,8,6]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,7,3,5,8,6]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,4,1,7,3,5,8,6]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,4,7,1,3,5,8,6]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,7,8,5,6]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,3,7,8,5,6]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,7,3,8,5,6]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,4,1,7,3,8,5,6]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,7,1,3,8,5,6]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,7,8,3,5,6]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,7,8,3,5,6]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,4,7,1,8,3,5,6]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,4,7,8,1,3,5,6]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,4,3,7,5,6,8]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,3,7,5,6,8]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,4,7,3,5,6,8]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,7,3,5,6,8]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,7,1,3,5,6,8]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,4,3,5,7,6,8]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,1,3,5,7,6,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,3,7,6,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,1,5,3,7,6,8]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,7,6,8]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,4,5,7,3,6,8]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,1,5,7,3,6,8]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,1,7,3,6,8]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,7,1,3,6,8]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,7,8,6]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,5,7,8,6]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,1,4,5,3,7,8,6]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,5,3,7,8,6]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,5,1,3,7,8,6]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,1,4,5,7,3,8,6]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,1,5,7,3,8,6]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,1,7,3,8,6]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,5,7,1,3,8,6]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,1,4,5,7,8,3,6]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,5,7,8,3,6]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,5,1,7,8,3,6]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,5,7,1,8,3,6]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,5,7,8,1,3,6]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,4,3,8,5,6,7]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,8,5,6,7]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,4,8,3,5,6,7]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,8,3,5,6,7]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,4,8,1,3,5,6,7]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,4,3,5,8,6,7]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,3,5,8,6,7]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,4,5,3,8,6,7]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,5,3,8,6,7]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,4,5,1,3,8,6,7]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,4,5,8,3,6,7]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,5,8,3,6,7]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,4,5,1,8,3,6,7]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,4,5,8,1,3,6,7]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,1,4,3,5,6,8,7]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,1,3,5,6,8,7]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,4,5,3,6,8,7]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,4,1,5,3,6,8,7]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,4,5,1,3,6,8,7]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,1,4,5,6,3,8,7]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,4,1,5,6,3,8,7]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,4,5,1,6,3,8,7]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,4,5,6,1,3,8,7]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,1,4,5,6,8,3,7]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,4,1,5,6,8,3,7]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,4,5,1,6,8,3,7]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,4,5,6,1,8,3,7]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,4,5,6,8,1,3,7]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,4,3,5,6,7,8]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,1,3,5,6,7,8]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,4,5,3,6,7,8]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,5,3,6,7,8]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,5,1,3,6,7,8]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,4,5,6,3,7,8]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,5,6,3,7,8]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,5,1,6,3,7,8]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,5,6,1,3,7,8]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,1,4,5,6,7,3,8]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,5,6,7,3,8]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,5,1,6,7,3,8]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,5,6,1,7,3,8]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,5,6,7,1,3,8]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,5,6,7,8,3]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1,5,6,7,8,3]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,4,5,1,6,7,8,3]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,4,5,6,1,7,8,3]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,4,5,6,7,1,8,3]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,4,5,6,7,8,1,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,5,3,6,4,8,7]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,5,1,3,6,4,8,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,5,6,3,4,8,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,5,1,6,3,4,8,7]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,5,6,1,3,4,8,7]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,5,3,6,8,4,7]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,5,1,3,6,8,4,7]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,5,6,3,8,4,7]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,5,1,6,3,8,4,7]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,5,6,1,3,8,4,7]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,5,6,8,3,4,7]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,5,1,6,8,3,4,7]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,5,6,1,8,3,4,7]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,5,6,8,1,3,4,7]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,4,7,8]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4,7,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,5,6,3,4,7,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,5,1,6,3,4,7,8]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,5,6,1,3,4,7,8]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4,8]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,5,1,3,6,7,4,8]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4,8]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5,1,6,3,7,4,8]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5,6,1,3,7,4,8]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,5,6,7,3,4,8]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5,1,6,7,3,4,8]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5,6,1,7,3,4,8]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5,6,7,1,3,4,8]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,3,6,7,8,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,5,1,3,6,7,8,4]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,6,3,7,8,4]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5,1,6,3,7,8,4]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5,6,1,3,7,8,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,5,6,7,3,8,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,7,3,8,4]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,7,3,8,4]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5,6,7,1,3,8,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,5,6,7,8,3,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5,1,6,7,8,3,4]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5,6,1,7,8,3,4]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5,6,7,1,8,3,4]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5,6,7,8,1,3,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,5,3,7,4,8,6]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,5,1,3,7,4,8,6]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,5,7,3,4,8,6]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,5,1,7,3,4,8,6]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,5,7,1,3,4,8,6]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,5,3,7,8,4,6]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,5,1,3,7,8,4,6]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,5,7,3,8,4,6]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,5,1,7,3,8,4,6]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,5,7,1,3,8,4,6]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,7,8,3,4,6]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,5,1,7,8,3,4,6]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,5,7,1,8,3,4,6]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,5,7,8,1,3,4,6]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,7,4,6,8]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,5,1,3,7,4,6,8]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,5,7,3,4,6,8]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,5,1,7,3,4,6,8]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,5,7,1,3,4,6,8]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,5,3,4,7,6,8]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,5,1,3,4,7,6,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,3,5,4,7,6,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,4,7,6,8]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,1,4,7,6,8]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,3,5,7,4,6,8]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,1,5,7,4,6,8]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,1,7,4,6,8]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,7,1,4,6,8]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,7,8,6]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,5,1,3,4,7,8,6]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,3,5,4,7,8,6]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,1,5,4,7,8,6]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,4,7,8,6]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,3,5,7,4,8,6]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,1,5,7,4,8,6]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,1,7,4,8,6]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,8,6]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,5,7,8,4,6]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1,5,7,8,4,6]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,7,8,4,6]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,7,1,8,4,6]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,7,8,1,4,6]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,5,3,8,4,6,7]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,5,1,3,8,4,6,7]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,8,3,4,6,7]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,5,1,8,3,4,6,7]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,5,8,1,3,4,6,7]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,4,8,6,7]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,5,1,3,4,8,6,7]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,5,4,8,6,7]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,5,4,8,6,7]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,3,5,1,4,8,6,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,3,5,8,4,6,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,5,8,4,6,7]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,3,5,1,8,4,6,7]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,3,5,8,1,4,6,7]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,5,3,4,6,8,7]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,4,6,8,7]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,5,4,6,8,7]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,5,4,6,8,7]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,3,5,1,4,6,8,7]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,3,5,6,4,8,7]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,5,6,4,8,7]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,5,1,6,4,8,7]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,5,6,1,4,8,7]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,5,6,8,4,7]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,3,1,5,6,8,4,7]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,3,5,1,6,8,4,7]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,5,6,1,8,4,7]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,3,5,6,8,1,4,7]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,5,3,4,6,7,8]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,6,7,8]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,5,4,6,7,8]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,5,4,6,7,8]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,5,1,4,6,7,8]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,5,6,4,7,8]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,5,6,4,7,8]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,5,1,6,4,7,8]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,5,6,1,4,7,8]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,5,6,7,4,8]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,5,6,7,4,8]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,5,1,6,7,4,8]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,5,6,1,7,4,8]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,5,6,7,1,4,8]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,5,6,7,8,4]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,5,6,7,8,4]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,5,1,6,7,8,4]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,3,5,6,1,7,8,4]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,3,5,6,7,1,8,4]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,5,6,7,8,1,4]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,6,3,7,4,8,5]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,6,1,3,7,4,8,5]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,1,6,7,3,4,8,5]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,6,1,7,3,4,8,5]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,6,7,1,3,4,8,5]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,6,3,7,8,4,5]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,6,1,3,7,8,4,5]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,1,6,7,3,8,4,5]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,6,1,7,3,8,4,5]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,6,7,1,3,8,4,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,1,6,7,8,3,4,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,6,1,7,8,3,4,5]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,6,7,1,8,3,4,5]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,6,7,8,1,3,4,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,6,3,7,4,5,8]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,6,1,3,7,4,5,8]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,1,6,7,3,4,5,8]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,6,1,7,3,4,5,8]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,6,7,1,3,4,5,8]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,6,3,4,7,5,8]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,6,1,3,4,7,5,8]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,3,6,4,7,5,8]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,6,4,7,5,8]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,3,6,1,4,7,5,8]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,3,6,7,4,5,8]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,3,1,6,7,4,5,8]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,3,6,1,7,4,5,8]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,3,6,7,1,4,5,8]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,1,6,3,4,7,8,5]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,6,1,3,4,7,8,5]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,1,3,6,4,7,8,5]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,3,1,6,4,7,8,5]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,6,1,4,7,8,5]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,3,6,7,4,8,5]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,3,1,6,7,4,8,5]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,3,6,1,7,4,8,5]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,3,6,7,1,4,8,5]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,1,3,6,7,8,4,5]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,3,1,6,7,8,4,5]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,3,6,1,7,8,4,5]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,3,6,7,1,8,4,5]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,3,6,7,8,1,4,5]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,1,6,3,8,4,5,7]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,6,1,3,8,4,5,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,1,6,8,3,4,5,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,6,1,8,3,4,5,7]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,6,8,1,3,4,5,7]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,1,6,3,4,8,5,7]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,6,1,3,4,8,5,7]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,1,3,6,4,8,5,7]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,4,8,5,7]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,3,6,1,4,8,5,7]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,1,3,6,8,4,5,7]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,8,4,5,7]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,3,6,1,8,4,5,7]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,3,6,8,1,4,5,7]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,5,8,7]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,6,1,3,4,5,8,7]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,1,3,6,4,5,8,7]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,3,1,6,4,5,8,7]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,4,5,8,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,1,3,4,6,5,8,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,3,1,4,6,5,8,7]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,4,1,6,5,8,7]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,3,4,6,1,5,8,7]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,1,3,4,6,8,5,7]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,3,1,4,6,8,5,7]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,3,4,1,6,8,5,7]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,3,4,6,1,8,5,7]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,3,4,6,8,1,5,7]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,1,6,3,4,5,7,8]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,1,3,4,5,7,8]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,5,7,8]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,3,1,6,4,5,7,8]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,3,6,1,4,5,7,8]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,1,3,4,6,5,7,8]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,3,1,4,6,5,7,8]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,3,4,1,6,5,7,8]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,3,4,6,1,5,7,8]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,1,3,4,6,7,5,8]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,4,6,7,5,8]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,3,4,1,6,7,5,8]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,3,4,6,1,7,5,8]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,3,4,6,7,1,5,8]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,6,7,8,5]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,6,7,8,5]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,3,4,1,6,7,8,5]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,3,4,6,1,7,8,5]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,3,4,6,7,1,8,5]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,3,4,6,7,8,1,5]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,7,3,8,4,5,6]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,7,1,3,8,4,5,6]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,1,7,8,3,4,5,6]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,7,1,8,3,4,5,6]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,7,8,1,3,4,5,6]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,1,7,3,4,8,5,6]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,7,1,3,4,8,5,6]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,1,3,7,4,8,5,6]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,7,4,8,5,6]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,7,1,4,8,5,6]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,1,3,7,8,4,5,6]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,1,7,8,4,5,6]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,7,1,8,4,5,6]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,7,8,1,4,5,6]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,7,3,4,5,8,6]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,7,1,3,4,5,8,6]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,1,3,7,4,5,8,6]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,7,4,5,8,6]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,7,1,4,5,8,6]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,3,4,7,5,8,6]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,4,7,5,8,6]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,4,1,7,5,8,6]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,4,7,1,5,8,6]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,1,3,4,7,8,5,6]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,1,4,7,8,5,6]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,4,1,7,8,5,6]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,4,7,1,8,5,6]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,4,7,8,1,5,6]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,1,7,3,4,5,6,8]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,7,1,3,4,5,6,8]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,1,3,7,4,5,6,8]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,7,4,5,6,8]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,7,1,4,5,6,8]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,1,3,4,7,5,6,8]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,4,7,5,6,8]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,4,1,7,5,6,8]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6,8]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,1,3,4,5,7,6,8]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,4,5,7,6,8]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,4,1,5,7,6,8]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,4,5,1,7,6,8]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,4,5,7,1,6,8]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,8,6]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,7,8,6]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,4,1,5,7,8,6]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,4,5,1,7,8,6]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,4,5,7,1,8,6]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,4,5,7,8,1,6]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,8,3,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,8,1,3,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,1,3,8,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,3,1,8,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,3,8,1,4,5,6,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,1,3,4,8,5,6,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,3,1,4,8,5,6,7]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,3,4,1,8,5,6,7]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,3,4,8,1,5,6,7]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,1,3,4,5,8,6,7]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,3,1,4,5,8,6,7]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,3,4,1,5,8,6,7]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,3,4,5,1,8,6,7]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,3,4,5,8,1,6,7]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,1,3,4,5,6,8,7]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,4,5,6,8,7]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,3,4,1,5,6,8,7]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,3,4,5,1,6,8,7]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,3,4,5,6,1,8,7]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,4,5,6,8,1,7]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,7,8]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,3,1,4,5,6,7,8]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,3,4,1,5,6,7,8]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,3,4,5,1,6,7,8]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,3,4,5,6,1,7,8]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,3,4,5,6,7,1,8]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,3,4,5,6,7,8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,2,6,5,8,7]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,4,1,2,6,5,8,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,6,2,5,8,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,4,1,6,2,5,8,7]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,4,6,1,2,5,8,7]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,8,5,7]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [3,4,1,2,6,8,5,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,8,5,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [3,4,1,6,2,8,5,7]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [3,4,6,1,2,8,5,7]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,8,2,5,7]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [3,4,1,6,8,2,5,7]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [3,4,6,1,8,2,5,7]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,6,8,1,2,5,7]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,4,2,6,5,7,8]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,4,1,2,6,5,7,8]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,4,6,2,5,7,8]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [3,4,1,6,2,5,7,8]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [3,4,6,1,2,5,7,8]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5,8]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [3,4,1,2,6,7,5,8]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5,8]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,4,1,6,2,7,5,8]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [3,4,6,1,2,7,5,8]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [3,1,4,6,7,2,5,8]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [3,4,1,6,7,2,5,8]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [3,4,6,1,7,2,5,8]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,6,7,1,2,5,8]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [3,1,4,2,6,7,8,5]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,7,8,5]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [3,1,4,6,2,7,8,5]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [3,4,1,6,2,7,8,5]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [3,4,6,1,2,7,8,5]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [3,1,4,6,7,2,8,5]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,4,1,6,7,2,8,5]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [3,4,6,1,7,2,8,5]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,6,7,1,2,8,5]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,6,7,8,2,5]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1,6,7,8,2,5]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [3,4,6,1,7,8,2,5]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,4,6,7,1,8,2,5]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,4,6,7,8,1,2,5]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,2,7,5,8,6]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [3,4,1,2,7,5,8,6]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,7,2,5,8,6]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [3,4,1,7,2,5,8,6]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [3,4,7,1,2,5,8,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,7,8,5,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,4,1,2,7,8,5,6]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,7,2,8,5,6]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [3,4,1,7,2,8,5,6]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,4,7,1,2,8,5,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,7,8,2,5,6]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,4,1,7,8,2,5,6]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [3,4,7,1,8,2,5,6]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,7,8,1,2,5,6]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,2,7,5,6,8]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,2,7,5,6,8]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,7,2,5,6,8]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,7,2,5,6,8]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [3,4,7,1,2,5,6,8]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [3,1,4,2,5,7,6,8]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,2,5,7,6,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,4,5,2,7,6,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,1,5,2,7,6,8]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,7,6,8]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [3,1,4,5,7,2,6,8]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,5,7,2,6,8]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,1,7,2,6,8]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,7,1,2,6,8]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,4,2,5,7,8,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,5,7,8,6]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,4,5,2,7,8,6]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,5,2,7,8,6]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [3,4,5,1,2,7,8,6]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [3,1,4,5,7,2,8,6]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [3,4,1,5,7,2,8,6]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [3,4,5,1,7,2,8,6]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,5,7,1,2,8,6]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,4,5,7,8,2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,5,7,8,2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [3,4,5,1,7,8,2,6]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [3,4,5,7,1,8,2,6]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,4,5,7,8,1,2,6]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,4,2,8,5,6,7]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [3,4,1,2,8,5,6,7]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [3,1,4,8,2,5,6,7]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,4,1,8,2,5,6,7]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,4,8,1,2,5,6,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,4,2,5,8,6,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,1,2,5,8,6,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,4,5,2,8,6,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [3,4,1,5,2,8,6,7]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,4,5,1,2,8,6,7]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [3,1,4,5,8,2,6,7]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,4,1,5,8,2,6,7]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [3,4,5,1,8,2,6,7]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,8,1,2,6,7]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,4,2,5,6,8,7]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,1,2,5,6,8,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,4,5,2,6,8,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,1,5,2,6,8,7]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,5,1,2,6,8,7]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,4,5,6,2,8,7]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,1,5,6,2,8,7]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,1,6,2,8,7]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,5,6,1,2,8,7]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [3,1,4,5,6,8,2,7]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [3,4,1,5,6,8,2,7]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [3,4,5,1,6,8,2,7]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,4,5,6,1,8,2,7]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,4,5,6,8,1,2,7]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [3,1,4,2,5,6,7,8]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,1,2,5,6,7,8]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [3,1,4,5,2,6,7,8]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,5,2,6,7,8]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [3,4,5,1,2,6,7,8]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [3,1,4,5,6,2,7,8]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,4,1,5,6,2,7,8]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [3,4,5,1,6,2,7,8]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,5,6,1,2,7,8]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [3,1,4,5,6,7,2,8]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [3,4,1,5,6,7,2,8]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,4,5,1,6,7,2,8]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,4,5,6,1,7,2,8]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,4,5,6,7,1,2,8]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,4,5,6,7,8,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1,5,6,7,8,2]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [3,4,5,1,6,7,8,2]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,4,5,6,1,7,8,2]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,4,5,6,7,1,8,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,4,5,6,7,8,1,2]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,5,2,6,4,8,7]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,5,1,2,6,4,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,5,6,2,4,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,5,1,6,2,4,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,5,6,1,2,4,8,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,5,2,6,8,4,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,5,1,2,6,8,4,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,5,6,2,8,4,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,5,1,6,2,8,4,7]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,5,6,1,2,8,4,7]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,5,6,8,2,4,7]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,5,1,6,8,2,4,7]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,5,6,1,8,2,4,7]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,5,6,8,1,2,4,7]
-----------------------------------------------------------------------------
Created: Jan 19, 2020 at 07:28 by FindStatCrew
-----------------------------------------------------------------------------
Last Updated: Jan 19, 2020 at 07:28 by Martin Rubey