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-----------------------------------------------------------------------------
Statistic identifier: St000369
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The dinv deficit of a Dyck path.
For a Dyck path $D$ of semilength $n$, this is defined as
$$\binom{n}{2} - \operatorname{area}(D) - \operatorname{dinv}(D).$$
In other words, this is the number of boxes in the partition traced out by $D$ for which the leg-length minus the arm-length is not in $\{0,1\}$.
See also [[St000376]] for the bounce deficit.
-----------------------------------------------------------------------------
References: [1] Lee, K., Li, L., Loehr, N. A. A Combinatorial Approach to the Symmetry of $q,t$-Catalan Numbers [[arXiv:1602.01126]]
-----------------------------------------------------------------------------
Code:
def statistic(D):
return binomial(len(D)/2,2)-D.area()-D.dinv()
-----------------------------------------------------------------------------
Statistic values:
[1,0,1,0] => 0
[1,1,0,0] => 0
[1,0,1,0,1,0] => 0
[1,0,1,1,0,0] => 1
[1,1,0,0,1,0] => 0
[1,1,0,1,0,0] => 0
[1,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0] => 1
[1,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,0] => 0
[1,1,0,1,1,0,0,0] => 1
[1,1,1,0,0,0,1,0] => 1
[1,1,1,0,0,1,0,0] => 0
[1,1,1,0,1,0,0,0] => 0
[1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,0] => 1
[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] => 3
[1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,0] => 1
[1,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,1,0,0] => 1
[1,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,1,1,0,0,0] => 2
[1,1,0,1,1,0,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,0] => 1
[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] => 2
[1,1,1,0,0,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,0] => 0
[1,1,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,0,0,1,0] => 2
[1,1,1,0,1,0,0,1,0,0] => 0
[1,1,1,0,1,0,1,0,0,0] => 0
[1,1,1,0,1,1,0,0,0,0] => 1
[1,1,1,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,0] => 0
[1,1,1,1,0,1,0,0,0,0] => 0
[1,1,1,1,1,0,0,0,0,0] => 0
[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] => 4
[1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,0] => 6
[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] => 5
[1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,0] => 6
[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] => 4
[1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,0] => 6
[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] => 4
[1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,0,1,0] => 0
[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] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0] => 1
[1,1,0,0,1,1,0,0,1,1,0,0] => 3
[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] => 3
[1,1,0,0,1,1,0,1,1,0,0,0] => 5
[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] => 5
[1,1,0,0,1,1,1,1,0,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => 1
[1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,1,0,0,1,1,0,0] => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,1,0,1,1,0,0,0] => 3
[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] => 2
[1,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => 4
[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] => 3
[1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => 1
[1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,0] => 2
[1,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,0,0,0,1,0] => 4
[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] => 3
[1,1,0,1,1,1,1,0,0,0,0,0] => 3
[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] => 4
[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] => 4
[1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,1,0,0,0] => 2
[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] => 4
[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] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,1,1,0,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,1,1,0,1,0,1,0,1,0,0,0] => 0
[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] => 4
[1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => 1
[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] => 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] => 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] => 2
[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] => 1
[1,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,1,1,1,0,0,1,1,0,0,0,0] => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => 3
[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] => 0
[1,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,1,1,1,0,1,1,0,0,0,0,0] => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => 3
[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] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[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] => 6
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 8
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 8
[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] => 5
[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] => 7
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 9
[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] => 5
[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] => 6
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 8
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 7
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 7
[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] => 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] => 6
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[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] => 7
[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] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 8
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 6
[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] => 5
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 7
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0
[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] => 2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1
[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] => 2
[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] => 6
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 7
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 4
[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] => 6
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 6
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4
[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] => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5
[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] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6
[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] => 5
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 6
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 6
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6
[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] => 5
[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] => 6
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1
[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] => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6
[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] => 4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[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] => 6
[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] => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 6
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 5
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 5
[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] => 4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 5
[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] => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 5
[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] => 5
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 6
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[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] => 4
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 6
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 6
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 7
[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] => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0
[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] => 2
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 5
[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] => 4
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[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] => 5
[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] => 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] => 5
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5
[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] => 5
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[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] => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[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] => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[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] => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 5
[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] => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[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] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[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] => 4
[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] => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 6
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 6
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[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] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3
[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] => 4
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 6
[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] => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[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] => 6
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 6
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 4
[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] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0
[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] => 5
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1
[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] => 6
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 4
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5
[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] => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4
[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] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 4
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3
[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] => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 3
[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] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
[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] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 13
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 12
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 11
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 14
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 11
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 13
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 14
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 14
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 13
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 11
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 13
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 13
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 12
[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] => 7
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 13
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 11
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 14
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 14
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 11
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 14
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 13
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 13
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 12
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 12
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 11
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 13
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 11
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 11
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 11
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 11
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 11
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 11
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10
[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] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 12
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 11
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 12
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 7
[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] => 9
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 10
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 13
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 13
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 12
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 11
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 13
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 12
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 12
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 12
[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] => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 10
[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] => 7
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 10
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 12
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 12
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 13
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 12
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 10
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 12
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 8
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 10
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 10
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 9
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 11
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 8
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 10
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 7
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 8
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 8
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 8
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 9
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 9
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5
[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] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 11
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 10
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 11
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[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] => 7
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 12
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 12
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 11
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[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] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 11
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[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] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[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] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 10
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 12
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 10
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 11
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 10
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 9
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 10
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 11
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 9
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 11
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 11
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[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] => 6
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1
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Created: Feb 04, 2016 at 12:47 by Christian Stump
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Last Updated: Feb 05, 2016 at 21:04 by Christian Stump