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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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-----------------------------------------------------------------------------
Statistic identifier: St000026
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The position of the first return of a Dyck path.
-----------------------------------------------------------------------------
References: [1] [[/DyckPaths#Statistics|Number of double rises of a Dyck path D]]
-----------------------------------------------------------------------------
Code:
def statistic(x):
return x.position_of_first_return()
-----------------------------------------------------------------------------
Statistic values:
[1,0] => 1
[1,0,1,0] => 1
[1,1,0,0] => 2
[1,0,1,0,1,0] => 1
[1,0,1,1,0,0] => 1
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 3
[1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0] => 3
[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
[1,1,1,0,0,1,0,0] => 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
[1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,1,0,0] => 1
[1,0,1,1,0,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,1,1,1,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,0,1,0] => 4
[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
[1,1,0,1,1,0,0,1,0,0] => 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
[1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,0] => 4
[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
[1,1,1,0,1,0,0,1,0,0] => 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
[1,1,1,1,0,0,0,1,0,0] => 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
[1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,1,0,0] => 1
[1,0,1,0,1,1,0,1,0,0,1,0] => 1
[1,0,1,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,0,1,1,0,1,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,0,1,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,1,0,0] => 1
[1,0,1,1,0,1,0,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,0,1,1,0,0,0] => 1
[1,0,1,1,0,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,1,1,0,0,1,0,0] => 1
[1,0,1,1,0,1,1,0,1,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => 1
[1,0,1,1,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,1,1,0,0,0,1,0,0] => 1
[1,0,1,1,1,1,0,0,1,0,0,0] => 1
[1,0,1,1,1,1,0,1,0,0,0,0] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0] => 5
[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
[1,1,0,1,0,1,1,0,0,1,0,0] => 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
[1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,0,0,1,0,0,1,0] => 5
[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
[1,1,0,1,1,0,1,0,0,1,0,0] => 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
[1,1,0,1,1,1,0,0,0,1,0,0] => 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
[1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,0,1,0,1,0,0,1,0] => 5
[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
[1,1,1,0,0,1,1,0,0,1,0,0] => 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
[1,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,0] => 5
[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
[1,1,1,0,1,0,1,0,0,1,0,0] => 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
[1,1,1,0,1,1,0,0,0,1,0,0] => 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
[1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0] => 5
[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
[1,1,1,1,0,0,1,0,0,1,0,0] => 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
[1,1,1,1,0,1,0,0,0,1,0,0] => 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
[1,1,1,1,1,0,0,0,0,1,0,0] => 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
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[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
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 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
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6
[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
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 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
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 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
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[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
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 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
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6
[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
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 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
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 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
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 5
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 6
[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
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 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
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 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
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 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
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6
[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
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 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
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6
[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
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 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
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 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
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6
[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
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 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
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6
[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
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 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
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 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
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 5
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 6
[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
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 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
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 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
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 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
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 6
[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
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 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
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 6
[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
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 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
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 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
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 6
[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
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 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
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 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
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 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
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[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
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 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
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 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
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 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
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 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
-----------------------------------------------------------------------------
Created: May 22, 2012 at 09:09 by Christian Stump
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Last Updated: Oct 17, 2015 at 14:08 by Christian Stump