************************************************************************
* 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: Mp00056
------------------------------------------------------------------------
Map name: to Dyck path
------------------------------------------------------------------------
Domain: Parking functions
------------------------------------------------------------------------
Codomain: Dyck paths
------------------------------------------------------------------------
Description: Sends a parking function to its support Dyck word.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(elt):
return DyckWord(area_sequence=elt.to_area_sequence())
------------------------------------------------------------------------
Map images:
[1] => [1,0]
[1,1] => [1,1,0,0]
[1,2] => [1,0,1,0]
[2,1] => [1,0,1,0]
[1,1,1] => [1,1,1,0,0,0]
[1,1,2] => [1,1,0,1,0,0]
[1,2,1] => [1,1,0,1,0,0]
[2,1,1] => [1,1,0,1,0,0]
[1,1,3] => [1,1,0,0,1,0]
[1,3,1] => [1,1,0,0,1,0]
[3,1,1] => [1,1,0,0,1,0]
[1,2,2] => [1,0,1,1,0,0]
[2,1,2] => [1,0,1,1,0,0]
[2,2,1] => [1,0,1,1,0,0]
[1,2,3] => [1,0,1,0,1,0]
[1,3,2] => [1,0,1,0,1,0]
[2,1,3] => [1,0,1,0,1,0]
[2,3,1] => [1,0,1,0,1,0]
[3,1,2] => [1,0,1,0,1,0]
[3,2,1] => [1,0,1,0,1,0]
[1,1,1,1] => [1,1,1,1,0,0,0,0]
[1,1,1,2] => [1,1,1,0,1,0,0,0]
[1,1,2,1] => [1,1,1,0,1,0,0,0]
[1,2,1,1] => [1,1,1,0,1,0,0,0]
[2,1,1,1] => [1,1,1,0,1,0,0,0]
[1,1,1,3] => [1,1,1,0,0,1,0,0]
[1,1,3,1] => [1,1,1,0,0,1,0,0]
[1,3,1,1] => [1,1,1,0,0,1,0,0]
[3,1,1,1] => [1,1,1,0,0,1,0,0]
[1,1,1,4] => [1,1,1,0,0,0,1,0]
[1,1,4,1] => [1,1,1,0,0,0,1,0]
[1,4,1,1] => [1,1,1,0,0,0,1,0]
[4,1,1,1] => [1,1,1,0,0,0,1,0]
[1,1,2,2] => [1,1,0,1,1,0,0,0]
[1,2,1,2] => [1,1,0,1,1,0,0,0]
[1,2,2,1] => [1,1,0,1,1,0,0,0]
[2,1,1,2] => [1,1,0,1,1,0,0,0]
[2,1,2,1] => [1,1,0,1,1,0,0,0]
[2,2,1,1] => [1,1,0,1,1,0,0,0]
[1,1,2,3] => [1,1,0,1,0,1,0,0]
[1,1,3,2] => [1,1,0,1,0,1,0,0]
[1,2,1,3] => [1,1,0,1,0,1,0,0]
[1,2,3,1] => [1,1,0,1,0,1,0,0]
[1,3,1,2] => [1,1,0,1,0,1,0,0]
[1,3,2,1] => [1,1,0,1,0,1,0,0]
[2,1,1,3] => [1,1,0,1,0,1,0,0]
[2,1,3,1] => [1,1,0,1,0,1,0,0]
[2,3,1,1] => [1,1,0,1,0,1,0,0]
[3,1,1,2] => [1,1,0,1,0,1,0,0]
[3,1,2,1] => [1,1,0,1,0,1,0,0]
[3,2,1,1] => [1,1,0,1,0,1,0,0]
[1,1,2,4] => [1,1,0,1,0,0,1,0]
[1,1,4,2] => [1,1,0,1,0,0,1,0]
[1,2,1,4] => [1,1,0,1,0,0,1,0]
[1,2,4,1] => [1,1,0,1,0,0,1,0]
[1,4,1,2] => [1,1,0,1,0,0,1,0]
[1,4,2,1] => [1,1,0,1,0,0,1,0]
[2,1,1,4] => [1,1,0,1,0,0,1,0]
[2,1,4,1] => [1,1,0,1,0,0,1,0]
[2,4,1,1] => [1,1,0,1,0,0,1,0]
[4,1,1,2] => [1,1,0,1,0,0,1,0]
[4,1,2,1] => [1,1,0,1,0,0,1,0]
[4,2,1,1] => [1,1,0,1,0,0,1,0]
[1,1,3,3] => [1,1,0,0,1,1,0,0]
[1,3,1,3] => [1,1,0,0,1,1,0,0]
[1,3,3,1] => [1,1,0,0,1,1,0,0]
[3,1,1,3] => [1,1,0,0,1,1,0,0]
[3,1,3,1] => [1,1,0,0,1,1,0,0]
[3,3,1,1] => [1,1,0,0,1,1,0,0]
[1,1,3,4] => [1,1,0,0,1,0,1,0]
[1,1,4,3] => [1,1,0,0,1,0,1,0]
[1,3,1,4] => [1,1,0,0,1,0,1,0]
[1,3,4,1] => [1,1,0,0,1,0,1,0]
[1,4,1,3] => [1,1,0,0,1,0,1,0]
[1,4,3,1] => [1,1,0,0,1,0,1,0]
[3,1,1,4] => [1,1,0,0,1,0,1,0]
[3,1,4,1] => [1,1,0,0,1,0,1,0]
[3,4,1,1] => [1,1,0,0,1,0,1,0]
[4,1,1,3] => [1,1,0,0,1,0,1,0]
[4,1,3,1] => [1,1,0,0,1,0,1,0]
[4,3,1,1] => [1,1,0,0,1,0,1,0]
[1,2,2,2] => [1,0,1,1,1,0,0,0]
[2,1,2,2] => [1,0,1,1,1,0,0,0]
[2,2,1,2] => [1,0,1,1,1,0,0,0]
[2,2,2,1] => [1,0,1,1,1,0,0,0]
[1,2,2,3] => [1,0,1,1,0,1,0,0]
[1,2,3,2] => [1,0,1,1,0,1,0,0]
[1,3,2,2] => [1,0,1,1,0,1,0,0]
[2,1,2,3] => [1,0,1,1,0,1,0,0]
[2,1,3,2] => [1,0,1,1,0,1,0,0]
[2,2,1,3] => [1,0,1,1,0,1,0,0]
[2,2,3,1] => [1,0,1,1,0,1,0,0]
[2,3,1,2] => [1,0,1,1,0,1,0,0]
[2,3,2,1] => [1,0,1,1,0,1,0,0]
[3,1,2,2] => [1,0,1,1,0,1,0,0]
[3,2,1,2] => [1,0,1,1,0,1,0,0]
[3,2,2,1] => [1,0,1,1,0,1,0,0]
[1,2,2,4] => [1,0,1,1,0,0,1,0]
[1,2,4,2] => [1,0,1,1,0,0,1,0]
[1,4,2,2] => [1,0,1,1,0,0,1,0]
[2,1,2,4] => [1,0,1,1,0,0,1,0]
[2,1,4,2] => [1,0,1,1,0,0,1,0]
[2,2,1,4] => [1,0,1,1,0,0,1,0]
[2,2,4,1] => [1,0,1,1,0,0,1,0]
[2,4,1,2] => [1,0,1,1,0,0,1,0]
[2,4,2,1] => [1,0,1,1,0,0,1,0]
[4,1,2,2] => [1,0,1,1,0,0,1,0]
[4,2,1,2] => [1,0,1,1,0,0,1,0]
[4,2,2,1] => [1,0,1,1,0,0,1,0]
[1,2,3,3] => [1,0,1,0,1,1,0,0]
[1,3,2,3] => [1,0,1,0,1,1,0,0]
[1,3,3,2] => [1,0,1,0,1,1,0,0]
[2,1,3,3] => [1,0,1,0,1,1,0,0]
[2,3,1,3] => [1,0,1,0,1,1,0,0]
[2,3,3,1] => [1,0,1,0,1,1,0,0]
[3,1,2,3] => [1,0,1,0,1,1,0,0]
[3,1,3,2] => [1,0,1,0,1,1,0,0]
[3,2,1,3] => [1,0,1,0,1,1,0,0]
[3,2,3,1] => [1,0,1,0,1,1,0,0]
[3,3,1,2] => [1,0,1,0,1,1,0,0]
[3,3,2,1] => [1,0,1,0,1,1,0,0]
[1,2,3,4] => [1,0,1,0,1,0,1,0]
[1,2,4,3] => [1,0,1,0,1,0,1,0]
[1,3,2,4] => [1,0,1,0,1,0,1,0]
[1,3,4,2] => [1,0,1,0,1,0,1,0]
[1,4,2,3] => [1,0,1,0,1,0,1,0]
[1,4,3,2] => [1,0,1,0,1,0,1,0]
[2,1,3,4] => [1,0,1,0,1,0,1,0]
[2,1,4,3] => [1,0,1,0,1,0,1,0]
[2,3,1,4] => [1,0,1,0,1,0,1,0]
[2,3,4,1] => [1,0,1,0,1,0,1,0]
[2,4,1,3] => [1,0,1,0,1,0,1,0]
[2,4,3,1] => [1,0,1,0,1,0,1,0]
[3,1,2,4] => [1,0,1,0,1,0,1,0]
[3,1,4,2] => [1,0,1,0,1,0,1,0]
[3,2,1,4] => [1,0,1,0,1,0,1,0]
[3,2,4,1] => [1,0,1,0,1,0,1,0]
[3,4,1,2] => [1,0,1,0,1,0,1,0]
[3,4,2,1] => [1,0,1,0,1,0,1,0]
[4,1,2,3] => [1,0,1,0,1,0,1,0]
[4,1,3,2] => [1,0,1,0,1,0,1,0]
[4,2,1,3] => [1,0,1,0,1,0,1,0]
[4,2,3,1] => [1,0,1,0,1,0,1,0]
[4,3,1,2] => [1,0,1,0,1,0,1,0]
[4,3,2,1] => [1,0,1,0,1,0,1,0]
[1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0]
[1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0]
[1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0]
[2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0]
[1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0]
[1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0]
[1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0]
[3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0]
[1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0]
[1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0]
[4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0]
[1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0]
[1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0]
[5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0]
[1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0]
[1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0]
[1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0]
[1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0]
[1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0]
[2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0]
[2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0]
[2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0]
[2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0]
[1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0]
[1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0]
[1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0]
[1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0]
[1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0]
[1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0]
[1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0]
[1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0]
[1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0]
[1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0]
[1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0]
[1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0]
[2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0]
[2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0]
[2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0]
[2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0]
[3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0]
[3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0]
[3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0]
[3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0]
[1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0]
[1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0]
[1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0]
[1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0]
[1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0]
[1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0]
[1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0]
[1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0]
[1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0]
[1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0]
[1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0]
[1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0]
[2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0]
[2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0]
[2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0]
[2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0]
[4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0]
[4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0]
[4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0]
[4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0]
[1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0]
[1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0]
[1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0]
[1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0]
[1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0]
[1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0]
[1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0]
[1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0]
[1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0]
[1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0]
[1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0]
[2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0]
[2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0]
[2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0]
[2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0]
[5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0]
[5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0]
[5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0]
[5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0]
[1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0]
[1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0]
[1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0]
[1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0]
[1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0]
[3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0]
[3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0]
[3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0]
[3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0]
[1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0]
[1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0]
[1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0]
[1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0]
[1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0]
[1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0]
[1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0]
[1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0]
[1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0]
[1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0]
[1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0]
[1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0]
[3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0]
[3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0]
[3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0]
[3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0]
[4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0]
[4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0]
[4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0]
[4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0]
[1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0]
[1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0]
[1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0]
[1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0]
[1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0]
[1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0]
[1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0]
[1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0]
[1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0]
[1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0]
[1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0]
[3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0]
[3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0]
[3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0]
[3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0]
[5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0]
[5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0]
[5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0]
[5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0]
[1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0]
[1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0]
[1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0]
[1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0]
[1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0]
[1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0]
[4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0]
[4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0]
[4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0]
[4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0]
[1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0]
[1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0]
[1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0]
[1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0]
[1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0]
[1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0]
[1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0]
[1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0]
[1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0]
[1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0]
[1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0]
[4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0]
[4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0]
[4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0]
[4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0]
[5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0]
[5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0]
[5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0]
[5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0]
[1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0]
[1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0]
[1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0]
[1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0]
[2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0]
[2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0]
[2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0]
[2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0]
[2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0]
[2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0]
[1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0]
[1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0]
[1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0]
[1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0]
[1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0]
[1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0]
[1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0]
[1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0]
[1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0]
[1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0]
[1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0]
[1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0]
[2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0]
[2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0]
[2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0]
[2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0]
[2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0]
[2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0]
[2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0]
[2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0]
[2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0]
[2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0]
[2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0]
[2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0]
[3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0]
[3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0]
[3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0]
[3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0]
[3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0]
[3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0]
[1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0]
[1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0]
[1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0]
[1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0]
[1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0]
[1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0]
[1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0]
[1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0]
[1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0]
[1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0]
[1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0]
[1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0]
[2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0]
[2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0]
[2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0]
[2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0]
[2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0]
[2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0]
[2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0]
[2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0]
[2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0]
[2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0]
[2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0]
[2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0]
[4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0]
[4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0]
[4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0]
[4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0]
[4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0]
[4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0]
[1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0]
[1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0]
[1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0]
[1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0]
[1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0]
[1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0]
[1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0]
[1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0]
[1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0]
[1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0]
[1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0]
[1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0]
[2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0]
[2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0]
[2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0]
[2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0]
[2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0]
[2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0]
[2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0]
[2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0]
[2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0]
[2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0]
[2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0]
[2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0]
[5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0]
[5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0]
[5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0]
[5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0]
[5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0]
[5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0]
[1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0]
[1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0]
[1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0]
[1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0]
[1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0]
[1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0]
[1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0]
[1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0]
[1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0]
[1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0]
[1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0]
[1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0]
[2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0]
[2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0]
[2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0]
[2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0]
[2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0]
[2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0]
[3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0]
[3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0]
[3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0]
[3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0]
[3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0]
[3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0]
[3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0]
[3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0]
[3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0]
[3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0]
[3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0]
[3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0]
[1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0]
[1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0]
[1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0]
[1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0]
[1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0]
[1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0]
[1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0]
[1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0]
[1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0]
[1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0]
[1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0]
[1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0]
[1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0]
[1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0]
[1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0]
[1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0]
[1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0]
[1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0]
[1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0]
[1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0]
[1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0]
[1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0]
[1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0]
[1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0]
[2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0]
[2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0]
[2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0]
[2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0]
[2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0]
[2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0]
[2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0]
[2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0]
[2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0]
[2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0]
[2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0]
[2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0]
[3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0]
[3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0]
[3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0]
[3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0]
[3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0]
[3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0]
[3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0]
[3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0]
[3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0]
[3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0]
[3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0]
[3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0]
[4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0]
[4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0]
[4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0]
[4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0]
[4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0]
[4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0]
[4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0]
[4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0]
[4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0]
[4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0]
[4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0]
[4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0]
[1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0]
[1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0]
[1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0]
[1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0]
[1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0]
[1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0]
[1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0]
[1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0]
[1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0]
[1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0]
[1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0]
[1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0]
[1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0]
[1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0]
[1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0]
[1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0]
[1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0]
[1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0]
[1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0]
[1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0]
[1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0]
[1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0]
[1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0]
[1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0]
[2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0]
[2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0]
[2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0]
[2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0]
[2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0]
[2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0]
[2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0]
[2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0]
[2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0]
[2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0]
[2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0]
[2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0]
[3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0]
[3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0]
[3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0]
[3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0]
[3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0]
[3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0]
[3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0]
[3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0]
[3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0]
[3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0]
[3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0]
[3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0]
[5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0]
[5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0]
[5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0]
[5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0]
[5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0]
[5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0]
[5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0]
[5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0]
[5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0]
[5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0]
[5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0]
[5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0]
[1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0]
[1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0]
[1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0]
[1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0]
[1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0]
[1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0]
[1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0]
[1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0]
[1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0]
[1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0]
[1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0]
[1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0]
[2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0]
[2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0]
[2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0]
[2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0]
[2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0]
[2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0]
[4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0]
[4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0]
[4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0]
[4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0]
[4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0]
[4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0]
[4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0]
[4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0]
[4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0]
[4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0]
[4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0]
[4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0]
[1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0]
[1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0]
[1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0]
[1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0]
[1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0]
[1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0]
[1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0]
[1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0]
[1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0]
[1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0]
[1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0]
[1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0]
[1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0]
[1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0]
[1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0]
[1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0]
[1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0]
[1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0]
[1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0]
[1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0]
[1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0]
[1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0]
[1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0]
[1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0]
[2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0]
[2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0]
[2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0]
[2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0]
[2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0]
[2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0]
[2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0]
[2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0]
[2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0]
[2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0]
[2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0]
[2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0]
[4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0]
[4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0]
[4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0]
[4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0]
[4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0]
[4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0]
[4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0]
[4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0]
[4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0]
[4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0]
[4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0]
[4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0]
[5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0]
[5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0]
[5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0]
[5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0]
[5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0]
[5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0]
[5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0]
[5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0]
[5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0]
[5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0]
[5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0]
[5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0]
[1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0]
[1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0]
[1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0]
[1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0]
[3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0]
[3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0]
[3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0]
[3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0]
[3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0]
[3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0]
[1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0]
[1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0]
[1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0]
[1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0]
[1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0]
[1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0]
[1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0]
[1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0]
[1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0]
[1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0]
[1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0]
[1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0]
[3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0]
[3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0]
[3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0]
[3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0]
[3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0]
[3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0]
[3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0]
[3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0]
[3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0]
[3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0]
[3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0]
[3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0]
[4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0]
[4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0]
[4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0]
[4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0]
[4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0]
[4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0]
[1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0]
[1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0]
[1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0]
[1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0]
[1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0]
[1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0]
[1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0]
[1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0]
[1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0]
[1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0]
[1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0]
[1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0]
[3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0]
[3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0]
[3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0]
[3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0]
[3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0]
[3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0]
[3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0]
[3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0]
[3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0]
[3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0]
[3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0]
[3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0]
[5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0]
[5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0]
[5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0]
[5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0]
[5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0]
[5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0]
[1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0]
[1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0]
[1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0]
[1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0]
[1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0]
[1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0]
[1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0]
[1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0]
[1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0]
[1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0]
[1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0]
[1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0]
[3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0]
[3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0]
[3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0]
[3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0]
[3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0]
[3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0]
[4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0]
[4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0]
[4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0]
[4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0]
[4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0]
[4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0]
[4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0]
[4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0]
[4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0]
[4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0]
[4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0]
[4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0]
[1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0]
[1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0]
[1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0]
[1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0]
[1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0]
[1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0]
[1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0]
[1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0]
[1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0]
[1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0]
[1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0]
[1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0]
[1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0]
[1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0]
[1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0]
[1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0]
[1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0]
[1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0]
[1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0]
[1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0]
[1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0]
[1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0]
[1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0]
[1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0]
[3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0]
[3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0]
[3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0]
[3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0]
[3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0]
[3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0]
[3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0]
[3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0]
[3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0]
[3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0]
[3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0]
[3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0]
[4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0]
[4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0]
[4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0]
[4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0]
[4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0]
[4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0]
[4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0]
[4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0]
[4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0]
[4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0]
[4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0]
[4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0]
[5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0]
[5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0]
[5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0]
[5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0]
[5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0]
[5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0]
[5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0]
[5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0]
[5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0]
[5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0]
[5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0]
[5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0]
[1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0]
[2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0]
[2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0]
[2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0]
[2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0]
[1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0]
[1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0]
[1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0]
[1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0]
[2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0]
[2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0]
[2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0]
[2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0]
[2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0]
[2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0]
[2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0]
[2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0]
[2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0]
[2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0]
[2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0]
[2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0]
[3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0]
[3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0]
[3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0]
[3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0]
[1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0]
[1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0]
[1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0]
[1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0]
[2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0]
[2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0]
[2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0]
[2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0]
[2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0]
[2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0]
[2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0]
[2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0]
[2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0]
[2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0]
[2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0]
[2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0]
[4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0]
[4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0]
[4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0]
[4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0]
[1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0]
[1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0]
[1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0]
[1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0]
[2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0]
[2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0]
[2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0]
[2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0]
[2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0]
[2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0]
[2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0]
[2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0]
[2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0]
[2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0]
[2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0]
[2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0]
[5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0]
[5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0]
[5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0]
[5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0]
[1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0]
[1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0]
[1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0]
[1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0]
[1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0]
[1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0]
[2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0]
[2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0]
[2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0]
[2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0]
[2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0]
[2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0]
[2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0]
[2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0]
[2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0]
[2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0]
[2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0]
[2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0]
[3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0]
[3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0]
[3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0]
[3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0]
[3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0]
[3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0]
[3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0]
[3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0]
[3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0]
[3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0]
[3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0]
[3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0]
[1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0]
[1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0]
[1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0]
[1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0]
[1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0]
[1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0]
[1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0]
[1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0]
[1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0]
[1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0]
[1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0]
[1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0]
[2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0]
[2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0]
[2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0]
[2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0]
[2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0]
[2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0]
[2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0]
[2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0]
[2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0]
[2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0]
[2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0]
[2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0]
[2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0]
[2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0]
[2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0]
[2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0]
[2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0]
[2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0]
[2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0]
[2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0]
[2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0]
[2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0]
[2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0]
[2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0]
[3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0]
[3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0]
[3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0]
[3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0]
[3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0]
[3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0]
[3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0]
[3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0]
[3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0]
[3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0]
[3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0]
[3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0]
[4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0]
[4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0]
[4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0]
[4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0]
[4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0]
[4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0]
[4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0]
[4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0]
[4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0]
[4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0]
[4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0]
[4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0]
[1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0]
[1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0]
[1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0]
[1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0]
[1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0]
[1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0]
[1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0]
[1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0]
[1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0]
[1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0]
[1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0]
[1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0]
[2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0]
[2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0]
[2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0]
[2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0]
[2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0]
[2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0]
[2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0]
[2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0]
[2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0]
[2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0]
[2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0]
[2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0]
[2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0]
[2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0]
[2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0]
[2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0]
[2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0]
[2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0]
[2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0]
[2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0]
[2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0]
[2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0]
[2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0]
[2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0]
[3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0]
[3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0]
[3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0]
[3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0]
[3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0]
[3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0]
[3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0]
[3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0]
[3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0]
[3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0]
[3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0]
[3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0]
[5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0]
[5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0]
[5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0]
[5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0]
[5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0]
[5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0]
[5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0]
[5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0]
[5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0]
[5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0]
[5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0]
[5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0]
[1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0]
[1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0]
[1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0]
[1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0]
[1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0]
[1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0]
[2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0]
[2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0]
[2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0]
[2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0]
[2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0]
[2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0]
[2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0]
[2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0]
[2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0]
[2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0]
[2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0]
[2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0]
[4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0]
[4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0]
[4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0]
[4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0]
[4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0]
[4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0]
[4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0]
[4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0]
[4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0]
[4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0]
[4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0]
[4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0]
[1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0]
[1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0]
[1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0]
[1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0]
[1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0]
[1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0]
[1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0]
[1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0]
[1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0]
[1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0]
[1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0]
[1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0]
[2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0]
[2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0]
[2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0]
[2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0]
[2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0]
[2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0]
[2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0]
[2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0]
[2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0]
[2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0]
[2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0]
[2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0]
[2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0]
[2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0]
[2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0]
[2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0]
[2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0]
[2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0]
[2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0]
[2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0]
[2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0]
[2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0]
[2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0]
[2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0]
[4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0]
[4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0]
[4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0]
[4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0]
[4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0]
[4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0]
[4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0]
[4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0]
[4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0]
[4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0]
[4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0]
[4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0]
[5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0]
[5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0]
[5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0]
[5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0]
[5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0]
[5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0]
[5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0]
[5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0]
[5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0]
[5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0]
[5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0]
[5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0]
[1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0]
[1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0]
[2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0]
[2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0]
[2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0]
[2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0]
[3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0]
[3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0]
[3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0]
[3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0]
[3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0]
[3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0]
[3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0]
[3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0]
[3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0]
[3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0]
[3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0]
[3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0]
[1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0]
[1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0]
[1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0]
[1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0]
[1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0]
[1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0]
[1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0]
[1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0]
[1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0]
[1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0]
[1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0]
[1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0]
[2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0]
[2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0]
[2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0]
[2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0]
[2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0]
[2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0]
[2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0]
[2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0]
[2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0]
[2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0]
[2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0]
[2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0]
[3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0]
[3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0]
[3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0]
[3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0]
[3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0]
[3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0]
[3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0]
[3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0]
[3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0]
[3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0]
[3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0]
[3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0]
[3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0]
[3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0]
[3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0]
[3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0]
[3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0]
[3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0]
[3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0]
[3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0]
[3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0]
[3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0]
[3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0]
[3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0]
[4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0]
[4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0]
[4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0]
[4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0]
[4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0]
[4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0]
[4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0]
[4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0]
[4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0]
[4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0]
[4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0]
-----------------------------------------------------------------------------
Created: Jan 26, 2020 at 12:31 by FindStatCrew
-----------------------------------------------------------------------------
Last Updated: Jan 26, 2020 at 12:31 by Martin Rubey