************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be *
* useful, but WITHOUT ANY WARRANTY; without even the implied *
* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
************************************************************************
------------------------------------------------------------------------
Map identifier: Mp00100
------------------------------------------------------------------------
Map name: touch composition
------------------------------------------------------------------------
Domain: Dyck paths
------------------------------------------------------------------------
Codomain: Integer compositions
------------------------------------------------------------------------
Description: Sends a Dyck path to its touch composition given by the composition of lengths of its touch points.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(D):
return D.touch_composition()
------------------------------------------------------------------------
Map images:
[1,0] => [1]
[1,0,1,0] => [1,1]
[1,1,0,0] => [2]
[1,0,1,0,1,0] => [1,1,1]
[1,0,1,1,0,0] => [1,2]
[1,1,0,0,1,0] => [2,1]
[1,1,0,1,0,0] => [3]
[1,1,1,0,0,0] => [3]
[1,0,1,0,1,0,1,0] => [1,1,1,1]
[1,0,1,0,1,1,0,0] => [1,1,2]
[1,0,1,1,0,0,1,0] => [1,2,1]
[1,0,1,1,0,1,0,0] => [1,3]
[1,0,1,1,1,0,0,0] => [1,3]
[1,1,0,0,1,0,1,0] => [2,1,1]
[1,1,0,0,1,1,0,0] => [2,2]
[1,1,0,1,0,0,1,0] => [3,1]
[1,1,0,1,0,1,0,0] => [4]
[1,1,0,1,1,0,0,0] => [4]
[1,1,1,0,0,0,1,0] => [3,1]
[1,1,1,0,0,1,0,0] => [4]
[1,1,1,0,1,0,0,0] => [4]
[1,1,1,1,0,0,0,0] => [4]
[1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1]
[1,0,1,0,1,0,1,1,0,0] => [1,1,1,2]
[1,0,1,0,1,1,0,0,1,0] => [1,1,2,1]
[1,0,1,0,1,1,0,1,0,0] => [1,1,3]
[1,0,1,0,1,1,1,0,0,0] => [1,1,3]
[1,0,1,1,0,0,1,0,1,0] => [1,2,1,1]
[1,0,1,1,0,0,1,1,0,0] => [1,2,2]
[1,0,1,1,0,1,0,0,1,0] => [1,3,1]
[1,0,1,1,0,1,0,1,0,0] => [1,4]
[1,0,1,1,0,1,1,0,0,0] => [1,4]
[1,0,1,1,1,0,0,0,1,0] => [1,3,1]
[1,0,1,1,1,0,0,1,0,0] => [1,4]
[1,0,1,1,1,0,1,0,0,0] => [1,4]
[1,0,1,1,1,1,0,0,0,0] => [1,4]
[1,1,0,0,1,0,1,0,1,0] => [2,1,1,1]
[1,1,0,0,1,0,1,1,0,0] => [2,1,2]
[1,1,0,0,1,1,0,0,1,0] => [2,2,1]
[1,1,0,0,1,1,0,1,0,0] => [2,3]
[1,1,0,0,1,1,1,0,0,0] => [2,3]
[1,1,0,1,0,0,1,0,1,0] => [3,1,1]
[1,1,0,1,0,0,1,1,0,0] => [3,2]
[1,1,0,1,0,1,0,0,1,0] => [4,1]
[1,1,0,1,0,1,0,1,0,0] => [5]
[1,1,0,1,0,1,1,0,0,0] => [5]
[1,1,0,1,1,0,0,0,1,0] => [4,1]
[1,1,0,1,1,0,0,1,0,0] => [5]
[1,1,0,1,1,0,1,0,0,0] => [5]
[1,1,0,1,1,1,0,0,0,0] => [5]
[1,1,1,0,0,0,1,0,1,0] => [3,1,1]
[1,1,1,0,0,0,1,1,0,0] => [3,2]
[1,1,1,0,0,1,0,0,1,0] => [4,1]
[1,1,1,0,0,1,0,1,0,0] => [5]
[1,1,1,0,0,1,1,0,0,0] => [5]
[1,1,1,0,1,0,0,0,1,0] => [4,1]
[1,1,1,0,1,0,0,1,0,0] => [5]
[1,1,1,0,1,0,1,0,0,0] => [5]
[1,1,1,0,1,1,0,0,0,0] => [5]
[1,1,1,1,0,0,0,0,1,0] => [4,1]
[1,1,1,1,0,0,0,1,0,0] => [5]
[1,1,1,1,0,0,1,0,0,0] => [5]
[1,1,1,1,0,1,0,0,0,0] => [5]
[1,1,1,1,1,0,0,0,0,0] => [5]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,3]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,3,1]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,4]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,4]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,4]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,4]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,1,1]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,2]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,4,1]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,5]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,5]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,5]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,5]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,5]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,1]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,5]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,5]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,1]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,5]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,5]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,5]
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,5]
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1]
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1]
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3]
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3]
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2]
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1]
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,4]
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,4]
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1]
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,4]
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,4]
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4]
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1]
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,2]
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,2,1]
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,3]
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,3]
[1,1,0,1,0,1,0,0,1,0,1,0] => [4,1,1]
[1,1,0,1,0,1,0,0,1,1,0,0] => [4,2]
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,1]
[1,1,0,1,0,1,0,1,0,1,0,0] => [6]
[1,1,0,1,0,1,0,1,1,0,0,0] => [6]
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,1]
[1,1,0,1,0,1,1,0,0,1,0,0] => [6]
[1,1,0,1,0,1,1,0,1,0,0,0] => [6]
[1,1,0,1,0,1,1,1,0,0,0,0] => [6]
[1,1,0,1,1,0,0,0,1,0,1,0] => [4,1,1]
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,2]
[1,1,0,1,1,0,0,1,0,0,1,0] => [5,1]
[1,1,0,1,1,0,0,1,0,1,0,0] => [6]
[1,1,0,1,1,0,0,1,1,0,0,0] => [6]
[1,1,0,1,1,0,1,0,0,0,1,0] => [5,1]
[1,1,0,1,1,0,1,0,0,1,0,0] => [6]
[1,1,0,1,1,0,1,0,1,0,0,0] => [6]
[1,1,0,1,1,0,1,1,0,0,0,0] => [6]
[1,1,0,1,1,1,0,0,0,0,1,0] => [5,1]
[1,1,0,1,1,1,0,0,0,1,0,0] => [6]
[1,1,0,1,1,1,0,0,1,0,0,0] => [6]
[1,1,0,1,1,1,0,1,0,0,0,0] => [6]
[1,1,0,1,1,1,1,0,0,0,0,0] => [6]
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1]
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2]
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1]
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,3]
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,3]
[1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,1]
[1,1,1,0,0,1,0,0,1,1,0,0] => [4,2]
[1,1,1,0,0,1,0,1,0,0,1,0] => [5,1]
[1,1,1,0,0,1,0,1,0,1,0,0] => [6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [6]
[1,1,1,0,0,1,1,0,0,0,1,0] => [5,1]
[1,1,1,0,0,1,1,0,0,1,0,0] => [6]
[1,1,1,0,0,1,1,0,1,0,0,0] => [6]
[1,1,1,0,0,1,1,1,0,0,0,0] => [6]
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,1]
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,2]
[1,1,1,0,1,0,0,1,0,0,1,0] => [5,1]
[1,1,1,0,1,0,0,1,0,1,0,0] => [6]
[1,1,1,0,1,0,0,1,1,0,0,0] => [6]
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,1]
[1,1,1,0,1,0,1,0,0,1,0,0] => [6]
[1,1,1,0,1,0,1,0,1,0,0,0] => [6]
[1,1,1,0,1,0,1,1,0,0,0,0] => [6]
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,1]
[1,1,1,0,1,1,0,0,0,1,0,0] => [6]
[1,1,1,0,1,1,0,0,1,0,0,0] => [6]
[1,1,1,0,1,1,0,1,0,0,0,0] => [6]
[1,1,1,0,1,1,1,0,0,0,0,0] => [6]
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1]
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,2]
[1,1,1,1,0,0,0,1,0,0,1,0] => [5,1]
[1,1,1,1,0,0,0,1,0,1,0,0] => [6]
[1,1,1,1,0,0,0,1,1,0,0,0] => [6]
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,1]
[1,1,1,1,0,0,1,0,0,1,0,0] => [6]
[1,1,1,1,0,0,1,0,1,0,0,0] => [6]
[1,1,1,1,0,0,1,1,0,0,0,0] => [6]
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1]
[1,1,1,1,0,1,0,0,0,1,0,0] => [6]
[1,1,1,1,0,1,0,0,1,0,0,0] => [6]
[1,1,1,1,0,1,0,1,0,0,0,0] => [6]
[1,1,1,1,0,1,1,0,0,0,0,0] => [6]
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1]
[1,1,1,1,1,0,0,0,0,1,0,0] => [6]
[1,1,1,1,1,0,0,0,1,0,0,0] => [6]
[1,1,1,1,1,0,0,1,0,0,0,0] => [6]
[1,1,1,1,1,0,1,0,0,0,0,0] => [6]
[1,1,1,1,1,1,0,0,0,0,0,0] => [6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,3,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,3]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,3,1,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,3,2]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,3]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,1,2]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,2,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,3]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,3]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,6]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,6]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,6]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,6]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,6]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,6]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,6]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,6]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,6]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,6]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,6]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,6]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,6]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,3]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,6]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,6]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,6]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,6]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,6]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,6]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,6]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,6]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,6]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,6]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,6]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,6]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,6]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,6]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,6]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,6]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,6]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,3]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,3]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,1]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,3,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,3,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,4]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,4]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,3,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,4]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [4,3]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [4,3]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [5,2]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [6,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [5,2]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [6,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [6,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [7]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [6,1]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [7]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [7]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [7]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [4,3]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [4,3]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [5,2]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [6,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [7]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [6,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [7]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [5,2]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [6,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [7]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [6,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [7]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [6,1]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [7]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [7]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [5,2]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [6,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [7]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [6,1]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [7]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [7]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [7]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [6,1]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [7]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [7]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [7]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [7]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [7]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,3,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,4]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,4]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,3]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,3]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [5,2]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [6,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [7]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [6,1]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [7]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [5,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [6,1]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [6,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [7]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [6,1]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,3]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,3]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [5,2]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [6,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [7]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [6,1]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [7]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,2]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [6,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [7]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [7]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [7]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [7]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,2]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [6,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [7]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,1]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [7]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,2]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [6,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [7]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,1]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [7]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,2]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [7]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,1]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [7]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [7]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,2]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [7]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [7]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [7]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [7]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [7]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [7]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,3]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,3,1,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,3,2]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,3]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,3,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,3,1,2]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,3,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,3,3]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,3,3]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,3]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,3]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,3,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,3]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,1,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,2]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,3]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,3,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,3]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,3,1,1]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,3,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,3]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,3,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,1,1]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,2,1]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,3]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,3]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,3]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4]
-----------------------------------------------------------------------------
Created: Jan 29, 2020 at 13:26 by FindStatCrew
-----------------------------------------------------------------------------
Last Updated: Jan 29, 2020 at 13:26 by Martin Rubey