************************************************************************
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* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
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* 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. *
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------------------------------------------------------------------------
Map identifier: Mp00230
------------------------------------------------------------------------
Map name: parallelogram polyomino
------------------------------------------------------------------------
Domain: Integer partitions
------------------------------------------------------------------------
Codomain: Dyck paths
------------------------------------------------------------------------
Description: Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(la):
if not la:
return ParallelogramPolyomino([[1],[1]]).to_dyck_word()
lower_path = [0]*la[0] + [1]*len(la)
upper_path = []
la = list(la) + [0]
for i in range(len(la)-1):
upper_path.extend([1]+[0]*(la[i]-la[i+1]))
return ParallelogramPolyomino([lower_path, upper_path]).to_dyck_word()
------------------------------------------------------------------------
Map images:
[1] => [1,0]
[2] => [1,0,1,0]
[1,1] => [1,1,0,0]
[3] => [1,0,1,0,1,0]
[2,1] => [1,0,1,1,0,0]
[1,1,1] => [1,1,0,1,0,0]
[4] => [1,0,1,0,1,0,1,0]
[3,1] => [1,0,1,0,1,1,0,0]
[2,2] => [1,1,1,0,0,0]
[2,1,1] => [1,0,1,1,0,1,0,0]
[1,1,1,1] => [1,1,0,1,0,1,0,0]
[5] => [1,0,1,0,1,0,1,0,1,0]
[4,1] => [1,0,1,0,1,0,1,1,0,0]
[3,2] => [1,0,1,1,1,0,0,0]
[3,1,1] => [1,0,1,0,1,1,0,1,0,0]
[2,2,1] => [1,1,1,0,0,1,0,0]
[2,1,1,1] => [1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0]
[6] => [1,0,1,0,1,0,1,0,1,0,1,0]
[5,1] => [1,0,1,0,1,0,1,0,1,1,0,0]
[4,2] => [1,0,1,0,1,1,1,0,0,0]
[4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0]
[3,3] => [1,1,1,0,1,0,0,0]
[3,2,1] => [1,0,1,1,1,0,0,1,0,0]
[3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0]
[2,2,2] => [1,1,1,1,0,0,0,0]
[2,2,1,1] => [1,1,1,0,0,1,0,1,0,0]
[2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0]
[7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[5,2] => [1,0,1,0,1,0,1,1,1,0,0,0]
[5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[4,3] => [1,0,1,1,1,0,1,0,0,0]
[4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0]
[4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[3,3,1] => [1,1,1,0,1,0,0,1,0,0]
[3,2,2] => [1,0,1,1,1,1,0,0,0,0]
[3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0]
[3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[2,2,2,1] => [1,1,1,1,0,0,0,1,0,0]
[2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[7,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[6,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[5,3] => [1,0,1,0,1,1,1,0,1,0,0,0]
[5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[5,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[4,4] => [1,1,1,0,1,0,1,0,0,0]
[4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0]
[4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0]
[4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[4,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[3,3,2] => [1,1,1,0,1,1,0,0,0,0]
[3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0]
[3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0]
[3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2] => [1,1,1,1,0,1,0,0,0,0]
[2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0]
[2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[8,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[7,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[7,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[6,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[6,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[5,4] => [1,0,1,1,1,0,1,0,1,0,0,0]
[5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[5,2,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[5,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0]
[4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0]
[4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[4,2,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3] => [1,1,1,1,1,0,0,0,0,0]
[3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0]
[3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0]
[3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[3,2,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0]
[2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[10] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[9,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[8,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[8,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[7,3] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[7,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[7,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[6,3,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[6,2,2] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[6,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[6,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[5,5] => [1,1,1,0,1,0,1,0,1,0,0,0]
[5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[5,3,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[5,2,2,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[5,2,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0]
[4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0]
[4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[4,3,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[4,2,2,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[4,2,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0]
[3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0]
[3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[3,3,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[3,2,2,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0]
[2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[2,2,2,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[11] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[10,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[9,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[9,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[8,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[8,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[8,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[7,4] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[7,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[7,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[7,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[7,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[6,4,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[6,3,2] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[6,3,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[6,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[6,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[5,5,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[5,4,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[5,4,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[5,3,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[5,3,2,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[5,3,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[5,2,2,2] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[5,2,2,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[5,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,3] => [1,1,1,0,1,1,1,0,0,0,0,0]
[4,4,2,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[4,4,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[4,3,3,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[4,3,2,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[4,3,2,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[4,3,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[4,2,2,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0]
[3,3,3,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[3,3,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[3,3,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[3,2,2,2,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[3,2,2,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[2,2,2,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[2,2,2,1,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[12] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[11,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[10,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[10,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[9,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[9,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[9,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[8,4] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[8,3,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[8,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[8,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[8,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[7,5] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[7,4,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[7,3,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[7,3,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[7,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[7,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[7,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[6,5,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[6,4,2] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[6,4,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[6,3,3] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[6,3,2,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[6,3,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[6,2,2,2] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[6,2,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[6,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[5,5,1,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[5,4,2,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[5,4,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[5,3,3,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[5,3,2,2] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[5,3,2,1,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[5,3,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[5,2,2,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[5,2,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0]
[4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[4,4,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[4,4,1,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[4,3,3,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[4,3,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[4,3,1,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[4,2,2,2,1,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[4,2,2,1,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0]
[3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[3,3,3,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[3,3,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[3,3,2,1,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[3,2,2,2,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,2,2,1,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[2,2,2,2,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[2,2,2,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[2,2,2,1,1,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[13] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[12,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[11,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[11,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[10,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[10,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[10,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[9,4] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[9,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[9,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[9,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[9,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[8,5] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[8,4,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[8,3,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[8,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[8,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[8,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[8,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[7,6] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[7,5,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[7,4,2] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[7,4,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[7,3,3] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[7,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[7,3,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[7,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[7,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[7,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[7,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,6,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[6,5,2] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[6,5,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[6,4,3] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[6,4,2,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[6,4,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[6,3,3,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[6,3,2,2] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[6,3,2,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[6,3,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[6,2,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[6,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[6,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,3] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[5,5,2,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[5,5,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[5,4,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[5,4,3,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[5,4,2,2] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[5,4,2,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[5,4,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[5,3,3,2] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[5,3,3,1,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[5,3,2,2,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[5,3,2,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[5,3,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,2] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[5,2,2,2,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[5,2,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,4,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[4,4,3,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[4,4,3,1,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[4,4,2,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[4,4,2,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[4,4,1,1,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,3,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[4,3,3,2,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[4,3,3,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[4,3,2,2,2] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[4,3,2,2,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[4,3,2,1,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[4,2,2,2,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,2,2,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,3,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[3,3,3,2,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[3,3,3,2,1,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[3,3,3,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[3,3,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,3,2,1,1,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[3,2,2,2,2,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,2,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,2,2,1,1,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[2,2,2,2,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[2,2,2,2,1,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,1,1,1,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[14] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[13,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[12,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[12,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[11,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[11,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[11,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[10,4] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[10,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[10,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[10,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[10,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[9,5] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[9,4,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[9,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[9,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[9,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[9,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[9,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[8,6] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[8,5,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[8,4,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[8,4,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[8,3,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[8,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[8,3,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[8,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[8,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[8,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[8,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,7] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[7,6,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[7,5,2] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[7,5,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[7,4,3] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[7,4,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[7,4,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[7,3,3,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[7,3,2,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[7,3,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[7,3,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[7,2,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[7,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[7,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[7,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,6,2] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[6,6,1,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[6,5,3] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[6,5,2,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[6,5,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[6,4,4] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[6,4,3,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[6,4,2,2] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[6,4,2,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[6,4,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[6,3,3,2] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[6,3,3,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[6,3,2,2,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[6,3,2,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[6,3,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,2,2,2] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[6,2,2,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[6,2,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[6,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[5,5,3,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[5,5,2,2] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[5,5,2,1,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[5,5,1,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[5,4,4,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[5,4,3,2] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[5,4,3,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[5,4,2,2,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[5,4,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[5,4,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,3,3] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[5,3,3,2,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[5,3,3,1,1,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[5,3,2,2,2] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[5,3,2,2,1,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[5,3,2,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,3,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,2,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[5,2,2,2,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[5,2,2,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[4,4,4,1,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[4,4,3,3] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[4,4,3,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[4,4,3,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[4,4,2,2,2] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[4,4,2,2,1,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[4,4,2,1,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,4,1,1,1,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,3,3,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[4,3,3,2,2] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[4,3,3,2,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[4,3,3,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[4,3,2,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[4,3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,3,2,1,1,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[4,2,2,2,2,1,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[4,2,2,2,1,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,2,2,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[3,3,3,3,1,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[3,3,3,2,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[3,3,3,2,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[3,3,3,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[3,3,2,2,2,1,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,3,2,2,1,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,2,1,1,1,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[3,2,2,2,2,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,2,2,2,1,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,1,1,1,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[2,2,2,2,2,2,1,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[2,2,2,2,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,1,1,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,1,1,1,1,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[15] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[14,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[13,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[13,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[12,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[12,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[12,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[11,4] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[11,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[11,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[11,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[11,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[10,5] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[10,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[10,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[10,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[10,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[10,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[10,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[9,6] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[9,5,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[9,4,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[9,4,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[9,3,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[9,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[9,3,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[9,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[9,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[9,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[9,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,7] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[8,6,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[8,5,2] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[8,5,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[8,4,3] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[8,4,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[8,4,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[8,3,3,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[8,3,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[8,3,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[8,3,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[8,2,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[8,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[8,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[8,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,7,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[7,6,2] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[7,6,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[7,5,3] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[7,5,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[7,5,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[7,4,4] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[7,4,3,1] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[7,4,2,2] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[7,4,2,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[7,4,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[7,3,3,2] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[7,3,3,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[7,3,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[7,3,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[7,3,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[7,2,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[7,2,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[7,2,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[7,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,6,3] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[6,6,2,1] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[6,6,1,1,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[6,5,4] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[6,5,3,1] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[6,5,2,2] => [1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[6,5,2,1,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[6,5,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[6,4,4,1] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[6,4,3,2] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[6,4,3,1,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[6,4,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[6,4,2,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[6,4,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,3,3] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[6,3,3,2,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[6,3,3,1,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[6,3,2,2,2] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[6,3,2,2,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[6,3,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[6,3,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,2,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[6,2,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[6,2,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,5] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[5,5,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[5,5,3,2] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[5,5,3,1,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[5,5,2,2,1] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[5,5,2,1,1,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[5,5,1,1,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,4,4,2] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[5,4,4,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[5,4,3,3] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[5,4,3,2,1] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[5,4,3,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[5,4,2,2,2] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[5,4,2,2,1,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[5,4,2,1,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,4,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,3,3,1] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[5,3,3,2,2] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[5,3,3,2,1,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[5,3,3,1,1,1,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[5,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[5,3,2,2,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[5,3,2,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,2,2] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[5,2,2,2,2,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[5,2,2,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,2,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[4,4,4,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[4,4,4,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[4,4,3,3,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[4,4,3,2,2] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[4,4,3,2,1,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[4,4,3,1,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[4,4,2,2,2,1] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[4,4,2,2,1,1,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,4,2,1,1,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,1,1,1,1,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,3,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[4,3,3,3,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,3,3,2,2,1] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[4,3,3,2,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[4,3,3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,2,2,2] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[4,3,2,2,2,1,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[4,3,2,2,1,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,3,2,1,1,1,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[4,2,2,2,2,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,2,2,2,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,3,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[3,3,3,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[3,3,3,3,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[3,3,3,2,2,2] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[3,3,3,2,2,1,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[3,3,3,2,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,3,1,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,2,2,1] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[3,3,2,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,3,2,2,1,1,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,1,1,1,1,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[3,2,2,2,2,2,1,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,2,2,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,1,1,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,1,1,1,1,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[2,2,2,2,2,2,1,1,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[2,2,2,2,2,1,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,1,1,1,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[16] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[15,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[14,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[14,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[13,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[13,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[13,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[12,4] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[12,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[12,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[12,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[12,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[11,5] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[11,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[11,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[11,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[11,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[11,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[11,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[10,6] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[10,5,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[10,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[10,4,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[10,3,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[10,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[10,3,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[10,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[10,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[10,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[10,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[9,7] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[9,6,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[9,5,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[9,5,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[9,4,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[9,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[9,4,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[9,3,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[9,3,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[9,3,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[9,3,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[9,2,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[9,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[9,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[9,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,8] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[8,7,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[8,6,2] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[8,6,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[8,5,3] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[8,5,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[8,5,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[8,4,4] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[8,4,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[8,4,2,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[8,4,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[8,4,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[8,3,3,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[8,3,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[8,3,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[8,3,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[8,3,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[8,2,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[8,2,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[8,2,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,7,2] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[7,7,1,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[7,6,3] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[7,6,2,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[7,6,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[7,5,4] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[7,5,3,1] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[7,5,2,2] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[7,5,2,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[7,5,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[7,4,4,1] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[7,4,3,2] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[7,4,3,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[7,4,2,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[7,4,2,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[7,4,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[7,3,3,3] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[7,3,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[7,3,3,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[7,3,2,2,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[7,3,2,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[7,3,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[7,3,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,2,2,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[7,2,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[7,2,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[7,2,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,6,4] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[6,6,3,1] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[6,6,2,2] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[6,6,2,1,1] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[6,6,1,1,1,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[6,5,5] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[6,5,4,1] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[6,5,3,2] => [1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[6,5,3,1,1] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[6,5,2,2,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[6,5,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[6,5,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,4,4,2] => [1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[6,4,4,1,1] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[6,4,3,3] => [1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[6,4,3,2,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[6,4,3,1,1,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[6,4,2,2,2] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[6,4,2,2,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[6,4,2,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[6,4,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,3,3,1] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[6,3,3,2,2] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[6,3,3,2,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[6,3,3,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[6,3,2,2,2,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[6,3,2,2,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[6,3,2,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,2,2,2,2] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[6,2,2,2,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[6,2,2,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[6,2,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,5,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[5,5,4,2] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[5,5,4,1,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[5,5,3,3] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[5,5,3,2,1] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[5,5,3,1,1,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[5,5,2,2,2] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[5,5,2,2,1,1] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[5,5,2,1,1,1,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,5,1,1,1,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,4,4,3] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[5,4,4,2,1] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[5,4,4,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[5,4,3,3,1] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,4,3,2,2] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[5,4,3,2,1,1] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[5,4,3,1,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[5,4,2,2,2,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[5,4,2,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[5,4,2,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,3,3,2] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[5,3,3,3,1,1] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[5,3,3,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[5,3,3,2,1,1,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[5,3,3,1,1,1,1,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,2,2,2,2] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[5,3,2,2,2,1,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[5,3,2,2,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,3,2,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,2,2,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[5,2,2,2,2,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[5,2,2,2,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,4,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[4,4,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[4,4,4,2,2] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[4,4,4,2,1,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[4,4,4,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[4,4,3,3,2] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[4,4,3,3,1,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[4,4,3,2,2,1] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[4,4,3,2,1,1,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[4,4,3,1,1,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,2,2,2,2] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[4,4,2,2,2,1,1] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[4,4,2,2,1,1,1,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,4,2,1,1,1,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,1,1,1,1,1,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,3,3,3] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[4,3,3,3,2,1] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,3,3,3,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[4,3,3,2,2,2] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[4,3,3,2,2,1,1] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[4,3,3,2,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,3,3,1,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,2,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[4,3,2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,3,2,2,1,1,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[4,2,2,2,2,2,1,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[4,2,2,2,2,1,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,3,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[3,3,3,3,2,2] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[3,3,3,3,2,1,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[3,3,3,3,1,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,3,2,2,2,1] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[3,3,3,2,2,1,1,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,3,3,2,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,1,1,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[3,3,2,2,2,2,1,1] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,3,2,2,2,1,1,1,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,1,1,1,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,1,1,1,1,1,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[3,2,2,2,2,2,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,2,2,2,2,1,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,1,1,1,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[2,2,2,2,2,2,2,1,1] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[2,2,2,2,2,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,2,1,1,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,2,1,1,1,1,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[17] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[16,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[15,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[15,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[14,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[14,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[14,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[13,4] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[13,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[13,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[13,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[13,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[12,5] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[12,4,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[12,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[12,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[12,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[12,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[12,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[11,6] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[11,5,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[11,4,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[11,4,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[11,3,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[11,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[11,3,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[11,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[11,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[11,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[11,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[10,7] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[10,6,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[10,5,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[10,5,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[10,4,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[10,4,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[10,4,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[10,3,3,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[10,3,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[10,3,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[10,3,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[10,2,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[10,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[10,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[10,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[9,8] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[9,7,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[9,6,2] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[9,6,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[9,5,3] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[9,5,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[9,5,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[9,4,4] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[9,4,3,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[9,4,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[9,4,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[9,4,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[9,3,3,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[9,3,3,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[9,3,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[9,3,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[9,3,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[9,2,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[9,2,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[9,2,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[9,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[9,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,8,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[8,7,2] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[8,7,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[8,6,3] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[8,6,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[8,6,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[8,5,4] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[8,5,3,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[8,5,2,2] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[8,5,2,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[8,5,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[8,4,4,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[8,4,3,2] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[8,4,3,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[8,4,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[8,4,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[8,4,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[8,3,3,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[8,3,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[8,3,3,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[8,3,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[8,3,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[8,3,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[8,3,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,2,2,2,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[8,2,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[8,2,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[8,2,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[8,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,7,3] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[7,7,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[7,7,1,1,1] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[7,6,4] => [1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[7,6,3,1] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[7,6,2,2] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[7,6,2,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[7,6,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[7,5,5] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[7,5,4,1] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[7,5,3,2] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[7,5,3,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[7,5,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[7,5,2,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[7,5,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[7,4,4,2] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[7,4,4,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[7,4,3,3] => [1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[7,4,3,2,1] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[7,4,3,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[7,4,2,2,2] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[7,4,2,2,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[7,4,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[7,4,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,3,3,3,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[7,3,3,2,2] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[7,3,3,2,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[7,3,3,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[7,3,2,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[7,3,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[7,3,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[7,3,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,2,2,2,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[7,2,2,2,2,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[7,2,2,2,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[7,2,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,2,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[7,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,6,5] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[6,6,4,1] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[6,6,3,2] => [1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[6,6,3,1,1] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[6,6,2,2,1] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[6,6,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[6,6,1,1,1,1,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,5,5,1] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[6,5,4,2] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[6,5,4,1,1] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[6,5,3,3] => [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[6,5,3,2,1] => [1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[6,5,3,1,1,1] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[6,5,2,2,2] => [1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[6,5,2,2,1,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[6,5,2,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[6,5,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,4,4,3] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[6,4,4,2,1] => [1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[6,4,4,1,1,1] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[6,4,3,3,1] => [1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[6,4,3,2,2] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[6,4,3,2,1,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[6,4,3,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[6,4,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[6,4,2,2,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[6,4,2,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,4,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,3,3,2] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[6,3,3,3,1,1] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[6,3,3,2,2,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[6,3,3,2,1,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[6,3,3,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,2,2,2,2] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[6,3,2,2,2,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[6,3,2,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[6,3,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,3,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,2,2,2,2,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[6,2,2,2,2,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[6,2,2,2,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,2,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,2,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[6,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,5,2] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[5,5,5,1,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[5,5,4,3] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[5,5,4,2,1] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[5,5,4,1,1,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[5,5,3,3,1] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[5,5,3,2,2] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[5,5,3,2,1,1] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[5,5,3,1,1,1,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[5,5,2,2,2,1] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[5,5,2,2,1,1,1] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[5,5,2,1,1,1,1,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,5,1,1,1,1,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,4,4,4] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[5,4,4,3,1] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[5,4,4,2,2] => [1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[5,4,4,2,1,1] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[5,4,4,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[5,4,3,3,2] => [1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[5,4,3,3,1,1] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[5,4,3,2,2,1] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[5,4,3,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[5,4,3,1,1,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,4,2,2,2,2] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[5,4,2,2,2,1,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[5,4,2,2,1,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,4,2,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,4,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,3,3,3] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[5,3,3,3,2,1] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[5,3,3,3,1,1,1] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[5,3,3,2,2,2] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[5,3,3,2,2,1,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[5,3,3,2,1,1,1,1] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,3,3,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,2,2,2,2,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[5,3,2,2,2,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[5,3,2,2,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,2,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,3,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,2,2,2] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[5,2,2,2,2,2,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[5,2,2,2,2,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[5,2,2,2,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,2,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,2,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[5,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,4,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[4,4,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[4,4,4,3,1,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[4,4,4,2,2,1] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[4,4,4,2,1,1,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[4,4,4,1,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,3,3,3] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[4,4,3,3,2,1] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[4,4,3,3,1,1,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[4,4,3,2,2,2] => [1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[4,4,3,2,2,1,1] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[4,4,3,2,1,1,1,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,4,3,1,1,1,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,2,2,2,2,1] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[4,4,2,2,2,1,1,1] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,4,2,2,1,1,1,1,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,2,1,1,1,1,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,4,1,1,1,1,1,1,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,3,3,3,1] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[4,3,3,3,2,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[4,3,3,3,2,1,1] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[4,3,3,3,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[4,3,3,2,2,2,1] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[4,3,3,2,2,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,3,3,2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,3,1,1,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,2,2,2,2] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[4,3,2,2,2,2,1,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[4,3,2,2,2,1,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[4,3,2,2,1,1,1,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,2,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,3,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[4,2,2,2,2,2,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[4,2,2,2,2,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,2,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,2,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,2,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,3,3,2] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[3,3,3,3,3,1,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[3,3,3,3,2,2,1] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[3,3,3,3,2,1,1,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0]
[3,3,3,3,1,1,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,2,2,2,2] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[3,3,3,2,2,2,1,1] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,3,3,2,2,1,1,1,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,3,3,2,1,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,2,2,2,1] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[3,3,2,2,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[3,3,2,2,2,1,1,1,1,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,2,1,1,1,1,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,2,1,1,1,1,1,1,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,3,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[3,2,2,2,2,2,2,1,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[3,2,2,2,2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,2,1,1,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,2,1,1,1,1,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[3,2,2,1,1,1,1,1,1,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
-----------------------------------------------------------------------------
Created: May 07, 2021 at 14:19 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: May 07, 2021 at 14:19 by Martin Rubey