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-----------------------------------------------------------------------------
Statistic identifier: St000947
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The major index east count of a Dyck path.
The descent set $\operatorname{des}(D)$ of a Dyck path $D = D_1 \cdots D_{2n}$ with $D_i \in \{N,E\}$ is given by all indices $i$ such that $D_i = E$ and $D_{i+1} = N$. This is, the positions of the valleys of $D$.
The '''major index''' of a Dyck path is then the sum of the positions of the valleys, $\sum_{i \in \operatorname{des}(D)} i$, see [[St000027]].
The '''major index east count''' is given by $\sum_{i \in \operatorname{des}(D)} \#\{ j \leq i \mid D_j = E\}$.
-----------------------------------------------------------------------------
References: [1] Stump, C. On bijections between $231$-avoiding permutations and Dyck paths [[MathSciNet:2734176]]
[2] Zhao, H., Zhong, Z. Two statistics linking Dyck paths and non-crossing partitions [[MathSciNet:2788700]]
-----------------------------------------------------------------------------
Code:
def statistic(D):
vals = D.valleys()
return sum(1 for d in vals for i in range(d+1) if D[i] == 0)
-----------------------------------------------------------------------------
Statistic values:
[1,0,1,0] => 1
[1,1,0,0] => 0
[1,0,1,0,1,0] => 3
[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] => 0
[1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,0] => 1
[1,1,1,0,0,0,1,0] => 3
[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] => 0
[1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0] => 1
[1,1,1,0,0,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0] => 1
[1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,0] => 3
[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] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => 15
[1,0,1,0,1,0,1,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,0] => 10
[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] => 12
[1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0] => 11
[1,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0] => 7
[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] => 3
[1,0,1,1,0,0,1,0,1,0,1,0] => 13
[1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,0,1,0,0] => 10
[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] => 8
[1,0,1,1,0,1,1,0,0,1,0,0] => 7
[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] => 3
[1,0,1,1,1,0,0,0,1,0,1,0] => 10
[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] => 9
[1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0] => 6
[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] => 3
[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] => 14
[1,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,1,0,0,1,0,1,1,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,0,1,0,0] => 9
[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] => 11
[1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,0] => 9
[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] => 7
[1,1,0,0,1,1,1,0,0,1,0,0] => 6
[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] => 2
[1,1,0,1,0,0,1,0,1,0,1,0] => 13
[1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0] => 9
[1,1,0,1,0,0,1,1,0,1,0,0] => 8
[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] => 12
[1,1,0,1,0,1,0,0,1,1,0,0] => 7
[1,1,0,1,0,1,0,1,0,0,1,0] => 11
[1,1,0,1,0,1,0,1,0,1,0,0] => 10
[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] => 8
[1,1,0,1,0,1,1,0,0,1,0,0] => 7
[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] => 3
[1,1,0,1,1,0,0,0,1,0,1,0] => 10
[1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,1,0,0] => 8
[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] => 8
[1,1,0,1,1,0,1,0,0,1,0,0] => 7
[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] => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => 6
[1,1,0,1,1,1,0,0,0,1,0,0] => 5
[1,1,0,1,1,1,0,0,1,0,0,0] => 4
[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] => 1
[1,1,1,0,0,0,1,0,1,0,1,0] => 12
[1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,0] => 7
[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] => 11
[1,1,1,0,0,1,0,0,1,1,0,0] => 6
[1,1,1,0,0,1,0,1,0,0,1,0] => 10
[1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,1,1,0,0,0,1,0] => 7
[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] => 5
[1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,1,0,0] => 8
[1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,0] => 8
[1,1,1,0,1,0,1,0,0,1,0,0] => 7
[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] => 3
[1,1,1,0,1,1,0,0,0,0,1,0] => 6
[1,1,1,0,1,1,0,0,0,1,0,0] => 5
[1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,0] => 1
[1,1,1,1,0,0,0,0,1,0,1,0] => 9
[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] => 8
[1,1,1,1,0,0,0,1,0,1,0,0] => 7
[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] => 7
[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] => 5
[1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => 6
[1,1,1,1,0,1,0,0,0,1,0,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,0] => 3
[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] => 5
[1,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,1,1,1,1,0,0,0,1,0,0,0] => 3
[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] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 21
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 16
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 15
[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] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 17
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 11
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 16
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 15
[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] => 12
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 11
[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] => 6
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[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] => 13
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 6
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 13
[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] => 15
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 13
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 18
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 13
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 17
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 11
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 16
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 15
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 13
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 10
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 9
[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] => 7
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 15
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 14
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 8
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 14
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 6
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 8
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 6
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 11
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 5
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3
[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] => 6
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[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] => 20
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 15
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 14
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 16
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 15
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 14
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 11
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 12
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 11
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 10
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[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] => 6
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 5
[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] => 19
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 14
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 13
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 15
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 14
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 13
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 10
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 9
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 18
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 12
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 13
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 12
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 17
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 11
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 16
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 15
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 12
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 10
[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] => 14
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 8
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 13
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 12
[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] => 12
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 11
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 10
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 6
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 9
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 8
[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] => 6
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 16
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 11
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 10
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 15
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 9
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 14
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 13
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 9
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 8
[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] => 14
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 13
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 12
[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] => 12
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 10
[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] => 9
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 8
[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] => 6
[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] => 12
[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] => 11
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 10
[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] => 10
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 8
[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] => 9
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8
[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] => 6
[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] => 7
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 6
[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] => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 12
[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] => 14
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 13
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 12
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 8
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 7
[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] => 17
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 11
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 12
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 11
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 16
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 10
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 15
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 14
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 11
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 9
[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] => 13
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 12
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 11
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 11
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 9
[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] => 8
[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] => 6
[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] => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 16
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 10
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 11
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 10
[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] => 15
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 9
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 14
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 13
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 10
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 9
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8
[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] => 14
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 13
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 12
[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] => 12
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 10
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 6
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 9
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 8
[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] => 6
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 12
[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] => 11
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 10
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 5
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 10
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 8
[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] => 9
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 8
[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] => 6
[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] => 7
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 6
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[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] => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 9
[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] => 14
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 13
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 12
[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] => 9
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 8
[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] => 3
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 13
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 7
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 12
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 11
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 6
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 11
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 10
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 8
[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] => 6
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 12
[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] => 11
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 10
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 10
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 8
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 8
[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] => 6
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 6
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[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] => 10
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 9
[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] => 9
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 8
[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] => 3
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 8
[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] => 6
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3
[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] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 5
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 4
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3
[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] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 28
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 21
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 22
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 21
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 17
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 23
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 16
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 22
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 21
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 15
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 16
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 15
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 18
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 17
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 17
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 16
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 15
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 19
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 24
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 17
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 18
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 17
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 11
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 23
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 16
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 22
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 21
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 15
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 16
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 15
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 19
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 18
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 17
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 11
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 17
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 16
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 15
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 13
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 20
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 13
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 19
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 18
[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] => 14
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 13
[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] => 7
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 19
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 18
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 17
[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] => 17
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 16
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 15
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 13
[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] => 10
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 15
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 14
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 13
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 13
[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] => 11
[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] => 6
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 19
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 20
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 19
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 13
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 14
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 13
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 15
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 21
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 14
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 20
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 19
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 13
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 15
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 14
[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] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[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] => 16
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 15
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 15
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 14
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 13
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 8
[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] => 10
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 25
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 18
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 19
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 18
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 13
[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] => 7
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 24
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 17
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 18
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 17
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 23
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 16
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 22
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 21
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 15
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 16
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 19
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 18
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 17
[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] => 17
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 16
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 13
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 12
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 20
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 13
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 19
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 18
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 14
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 13
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 19
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 12
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 18
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 17
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 17
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 13
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 12
[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] => 10
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 15
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 14
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 14
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 13
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 7
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 13
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11
[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] => 6
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 7
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 6
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 17
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 16
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 22
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 15
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 15
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 21
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 14
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 20
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 19
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 15
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 14
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 17
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 16
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 15
[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] => 15
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 14
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 8
[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] => 9
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 21
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 15
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 14
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 20
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 19
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 18
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 14
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 19
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 18
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 17
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 17
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 13
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 11
[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] => 6
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 16
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 15
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 8
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 14
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 12
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 13
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 6
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 6
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 12
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 18
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 17
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 16
[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] => 12
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 17
[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] => 16
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 15
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 15
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 14
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 13
[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] => 11
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 9
[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] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 16
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 15
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 14
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 13
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 12
[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] => 13
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 10
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 6
[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] => 9
[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] => 6
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 13
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 9
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 10
[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] => 7
[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] => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3
[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] => 27
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 20
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 21
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 20
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 16
[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] => 22
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 15
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 21
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 20
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 14
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 16
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 15
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 14
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 17
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 16
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 16
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 15
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 14
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[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] => 10
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 17
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 18
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 17
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 12
[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] => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 23
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 16
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 17
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 16
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 22
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 15
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 21
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 20
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 14
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 16
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 15
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 14
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 18
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 11
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 17
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 16
[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] => 16
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 15
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 14
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 12
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 11
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 13
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 19
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 12
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 18
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 17
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 11
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 13
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 18
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 11
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 17
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 16
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 16
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 15
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 12
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 11
[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] => 9
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 14
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 13
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 13
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 12
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 11
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10
[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] => 5
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 7
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 6
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 19
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 20
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 19
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 13
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 14
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 13
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
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Created: Aug 23, 2017 at 00:53 by Martin Rubey
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Last Updated: Apr 25, 2018 at 11:56 by Christian Stump