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-----------------------------------------------------------------------------
Statistic identifier: St000340
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The number of non-final maximal constant sub-paths of length greater than one.
This is the total number of occurrences of the patterns $110$ and $001$.
-----------------------------------------------------------------------------
References: [1] Sulanke, R. A. Catalan path statistics having the Narayana distribution [[MathSciNet:1603692]] [[DOI:10.1016/s0012-365x(97)00126-x]]
-----------------------------------------------------------------------------
Code:
def statistic(x):
return sum(1 for i in range(len(x)-2) if x[i:i+3] in [[1,1,0], [0,0,1]])
-----------------------------------------------------------------------------
Statistic values:
[1,0] => 0
[1,0,1,0] => 0
[1,1,0,0] => 1
[1,0,1,0,1,0] => 0
[1,0,1,1,0,0] => 1
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 1
[1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,0] => 2
[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] => 3
[1,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,0] => 1
[1,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,0,0] => 1
[1,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,1,0,0,1,0] => 2
[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] => 2
[1,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,1,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,0] => 2
[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] => 3
[1,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,1,0,0,0] => 2
[1,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,0] => 2
[1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0] => 2
[1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,0] => 2
[1,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0] => 2
[1,1,1,0,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,1,0,0,0] => 1
[1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0] => 1
[1,1,1,1,1,0,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => 0
[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] => 2
[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] => 2
[1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0] => 2
[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] => 2
[1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,0,0,1,0,0] => 2
[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] => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0] => 2
[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] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => 2
[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] => 2
[1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => 2
[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] => 3
[1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,0] => 2
[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] => 4
[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] => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,1,1,0,0,0,1,0,1,0] => 3
[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] => 4
[1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0] => 2
[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] => 4
[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] => 3
[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] => 3
[1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,1,0,1,0,0,0] => 1
[1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[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] => 2
[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] => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[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] => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[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] => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[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] => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[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] => 2
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[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] => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[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] => 2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[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] => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[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] => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[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] => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[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] => 4
[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] => 4
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[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] => 4
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4
[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] => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[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] => 3
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[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] => 5
[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] => 4
[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] => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[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] => 4
[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] => 4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[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] => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[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] => 3
[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] => 5
[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] => 3
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[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] => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[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] => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 3
[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] => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 3
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 6
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 6
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
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Created: Dec 18, 2015 at 17:59 by Veronica Waite
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Last Updated: Feb 19, 2020 at 16:01 by Martin Rubey