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-----------------------------------------------------------------------------
Statistic identifier: St000946

-----------------------------------------------------------------------------
Collection: Dyck paths

-----------------------------------------------------------------------------
Description: The sum of the skew hook positions in a Dyck path.

A skew hook is an occurrence of a down step followed by two up steps or of an up step followed by a down step.

Write $U_i$ for the $i$-th up step and $D_j$ for the $j$-th down step in the Dyck path.  Then the skew hook set is the set $$H = \{j: U_{i−1} U_i D_j \text{ is a skew hook}\} \cup \{i: D_{i−1} D_i U_j\text{ is a skew hook}\}.$$

This statistic is the sum of all elements in $H$.

-----------------------------------------------------------------------------
References: [1]   Zhao, H., Zhong, Z. Two statistics linking Dyck paths and non-crossing partitions [[MathSciNet:2788700]]

-----------------------------------------------------------------------------
Code:
def statistic(P):
    # record for each step how many steps of the same type there were before
    i = j = 0
    S = [None]*len(P)
    for k, s in enumerate(P):
        if s == 0:
            j += 1
            S[k] = j
        else:
            i += 1
            S[k] = i

    H = []
    for k in range(2, len(P)):
        if P[k-2] == P[k-1] == 1 and P[k] == 0:
            H.append(S[k])
        if P[k-2] == P[k-1] == 0 and P[k] == 1:
            H.append(S[k-1])

    return sum(H)


-----------------------------------------------------------------------------
Statistic values:

[1,0,1,0]                         => 0
[1,1,0,0]                         => 1
[1,0,1,0,1,0]                     => 0
[1,0,1,1,0,0]                     => 2
[1,1,0,0,1,0]                     => 3
[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]                 => 3
[1,0,1,1,0,0,1,0]                 => 5
[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]                 => 3
[1,1,0,0,1,1,0,0]                 => 6
[1,1,0,1,0,0,1,0]                 => 4
[1,1,0,1,0,1,0,0]                 => 1
[1,1,0,1,1,0,0,0]                 => 3
[1,1,1,0,0,0,1,0]                 => 4
[1,1,1,0,0,1,0,0]                 => 3
[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]             => 4
[1,0,1,0,1,1,0,0,1,0]             => 7
[1,0,1,0,1,1,0,1,0,0]             => 3
[1,0,1,0,1,1,1,0,0,0]             => 3
[1,0,1,1,0,0,1,0,1,0]             => 5
[1,0,1,1,0,0,1,1,0,0]             => 9
[1,0,1,1,0,1,0,0,1,0]             => 6
[1,0,1,1,0,1,0,1,0,0]             => 2
[1,0,1,1,0,1,1,0,0,0]             => 5
[1,0,1,1,1,0,0,0,1,0]             => 6
[1,0,1,1,1,0,0,1,0,0]             => 5
[1,0,1,1,1,0,1,0,0,0]             => 2
[1,0,1,1,1,1,0,0,0,0]             => 2
[1,1,0,0,1,0,1,0,1,0]             => 3
[1,1,0,0,1,0,1,1,0,0]             => 7
[1,1,0,0,1,1,0,0,1,0]             => 10
[1,1,0,0,1,1,0,1,0,0]             => 6
[1,1,0,0,1,1,1,0,0,0]             => 6
[1,1,0,1,0,0,1,0,1,0]             => 4
[1,1,0,1,0,0,1,1,0,0]             => 8
[1,1,0,1,0,1,0,0,1,0]             => 5
[1,1,0,1,0,1,0,1,0,0]             => 1
[1,1,0,1,0,1,1,0,0,0]             => 4
[1,1,0,1,1,0,0,0,1,0]             => 7
[1,1,0,1,1,0,0,1,0,0]             => 6
[1,1,0,1,1,0,1,0,0,0]             => 3
[1,1,0,1,1,1,0,0,0,0]             => 3
[1,1,1,0,0,0,1,0,1,0]             => 4
[1,1,1,0,0,0,1,1,0,0]             => 8
[1,1,1,0,0,1,0,0,1,0]             => 7
[1,1,1,0,0,1,0,1,0,0]             => 3
[1,1,1,0,0,1,1,0,0,0]             => 6
[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]             => 1
[1,1,1,0,1,1,0,0,0,0]             => 3
[1,1,1,1,0,0,0,0,1,0]             => 5
[1,1,1,1,0,0,0,1,0,0]             => 4
[1,1,1,1,0,0,1,0,0,0]             => 3
[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]         => 5
[1,0,1,0,1,0,1,1,0,0,1,0]         => 9
[1,0,1,0,1,0,1,1,0,1,0,0]         => 4
[1,0,1,0,1,0,1,1,1,0,0,0]         => 4
[1,0,1,0,1,1,0,0,1,0,1,0]         => 7
[1,0,1,0,1,1,0,0,1,1,0,0]         => 12
[1,0,1,0,1,1,0,1,0,0,1,0]         => 8
[1,0,1,0,1,1,0,1,0,1,0,0]         => 3
[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]         => 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]         => 3
[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]         => 5
[1,0,1,1,0,0,1,0,1,1,0,0]         => 10
[1,0,1,1,0,0,1,1,0,0,1,0]         => 14
[1,0,1,1,0,0,1,1,0,1,0,0]         => 9
[1,0,1,1,0,0,1,1,1,0,0,0]         => 9
[1,0,1,1,0,1,0,0,1,0,1,0]         => 6
[1,0,1,1,0,1,0,0,1,1,0,0]         => 11
[1,0,1,1,0,1,0,1,0,0,1,0]         => 7
[1,0,1,1,0,1,0,1,0,1,0,0]         => 2
[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]         => 10
[1,0,1,1,0,1,1,0,0,1,0,0]         => 9
[1,0,1,1,0,1,1,0,1,0,0,0]         => 5
[1,0,1,1,0,1,1,1,0,0,0,0]         => 5
[1,0,1,1,1,0,0,0,1,0,1,0]         => 6
[1,0,1,1,1,0,0,0,1,1,0,0]         => 11
[1,0,1,1,1,0,0,1,0,0,1,0]         => 10
[1,0,1,1,1,0,0,1,0,1,0,0]         => 5
[1,0,1,1,1,0,0,1,1,0,0,0]         => 9
[1,0,1,1,1,0,1,0,0,0,1,0]         => 7
[1,0,1,1,1,0,1,0,0,1,0,0]         => 6
[1,0,1,1,1,0,1,0,1,0,0,0]         => 2
[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]         => 7
[1,0,1,1,1,1,0,0,0,1,0,0]         => 6
[1,0,1,1,1,1,0,0,1,0,0,0]         => 5
[1,0,1,1,1,1,0,1,0,0,0,0]         => 2
[1,0,1,1,1,1,1,0,0,0,0,0]         => 2
[1,1,0,0,1,0,1,0,1,0,1,0]         => 3
[1,1,0,0,1,0,1,0,1,1,0,0]         => 8
[1,1,0,0,1,0,1,1,0,0,1,0]         => 12
[1,1,0,0,1,0,1,1,0,1,0,0]         => 7
[1,1,0,0,1,0,1,1,1,0,0,0]         => 7
[1,1,0,0,1,1,0,0,1,0,1,0]         => 10
[1,1,0,0,1,1,0,0,1,1,0,0]         => 15
[1,1,0,0,1,1,0,1,0,0,1,0]         => 11
[1,1,0,0,1,1,0,1,0,1,0,0]         => 6
[1,1,0,0,1,1,0,1,1,0,0,0]         => 10
[1,1,0,0,1,1,1,0,0,0,1,0]         => 11
[1,1,0,0,1,1,1,0,0,1,0,0]         => 10
[1,1,0,0,1,1,1,0,1,0,0,0]         => 6
[1,1,0,0,1,1,1,1,0,0,0,0]         => 6
[1,1,0,1,0,0,1,0,1,0,1,0]         => 4
[1,1,0,1,0,0,1,0,1,1,0,0]         => 9
[1,1,0,1,0,0,1,1,0,0,1,0]         => 13
[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]         => 8
[1,1,0,1,0,1,0,0,1,0,1,0]         => 5
[1,1,0,1,0,1,0,0,1,1,0,0]         => 10
[1,1,0,1,0,1,0,1,0,0,1,0]         => 6
[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]         => 5
[1,1,0,1,0,1,1,0,0,0,1,0]         => 9
[1,1,0,1,0,1,1,0,0,1,0,0]         => 8
[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]         => 7
[1,1,0,1,1,0,0,0,1,1,0,0]         => 12
[1,1,0,1,1,0,0,1,0,0,1,0]         => 11
[1,1,0,1,1,0,0,1,0,1,0,0]         => 6
[1,1,0,1,1,0,0,1,1,0,0,0]         => 10
[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]         => 3
[1,1,0,1,1,0,1,1,0,0,0,0]         => 6
[1,1,0,1,1,1,0,0,0,0,1,0]         => 8
[1,1,0,1,1,1,0,0,0,1,0,0]         => 7
[1,1,0,1,1,1,0,0,1,0,0,0]         => 6
[1,1,0,1,1,1,0,1,0,0,0,0]         => 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]         => 4
[1,1,1,0,0,0,1,0,1,1,0,0]         => 9
[1,1,1,0,0,0,1,1,0,0,1,0]         => 13
[1,1,1,0,0,0,1,1,0,1,0,0]         => 8
[1,1,1,0,0,0,1,1,1,0,0,0]         => 8
[1,1,1,0,0,1,0,0,1,0,1,0]         => 7
[1,1,1,0,0,1,0,0,1,1,0,0]         => 12
[1,1,1,0,0,1,0,1,0,0,1,0]         => 8
[1,1,1,0,0,1,0,1,0,1,0,0]         => 3
[1,1,1,0,0,1,0,1,1,0,0,0]         => 7
[1,1,1,0,0,1,1,0,0,0,1,0]         => 11
[1,1,1,0,0,1,1,0,0,1,0,0]         => 10
[1,1,1,0,0,1,1,0,1,0,0,0]         => 6
[1,1,1,0,0,1,1,1,0,0,0,0]         => 6
[1,1,1,0,1,0,0,0,1,0,1,0]         => 5
[1,1,1,0,1,0,0,0,1,1,0,0]         => 10
[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]         => 4
[1,1,1,0,1,0,0,1,1,0,0,0]         => 8
[1,1,1,0,1,0,1,0,0,0,1,0]         => 6
[1,1,1,0,1,0,1,0,0,1,0,0]         => 5
[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]         => 4
[1,1,1,0,1,1,0,0,0,0,1,0]         => 8
[1,1,1,0,1,1,0,0,0,1,0,0]         => 7
[1,1,1,0,1,1,0,0,1,0,0,0]         => 6
[1,1,1,0,1,1,0,1,0,0,0,0]         => 3
[1,1,1,0,1,1,1,0,0,0,0,0]         => 3
[1,1,1,1,0,0,0,0,1,0,1,0]         => 5
[1,1,1,1,0,0,0,0,1,1,0,0]         => 10
[1,1,1,1,0,0,0,1,0,0,1,0]         => 9
[1,1,1,1,0,0,0,1,0,1,0,0]         => 4
[1,1,1,1,0,0,0,1,1,0,0,0]         => 8
[1,1,1,1,0,0,1,0,0,0,1,0]         => 8
[1,1,1,1,0,0,1,0,0,1,0,0]         => 7
[1,1,1,1,0,0,1,0,1,0,0,0]         => 3
[1,1,1,1,0,0,1,1,0,0,0,0]         => 6
[1,1,1,1,0,1,0,0,0,0,1,0]         => 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]         => 1
[1,1,1,1,0,1,1,0,0,0,0,0]         => 3
[1,1,1,1,1,0,0,0,0,0,1,0]         => 6
[1,1,1,1,1,0,0,0,0,1,0,0]         => 5
[1,1,1,1,1,0,0,0,1,0,0,0]         => 4
[1,1,1,1,1,0,0,1,0,0,0,0]         => 3
[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]     => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 11
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 9
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 15
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 4
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 9
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 10
[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]     => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 7
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 13
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 18
[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]     => 12
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 14
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 9
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 8
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 13
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 12
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 7
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 14
[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]     => 7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 12
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 9
[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]     => 3
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 7
[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]     => 3
[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]     => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 11
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 16
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 10
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 10
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 14
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 20
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 15
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 9
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 14
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 15
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 14
[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]     => 6
[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]     => 17
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 11
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 11
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 7
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 13
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 8
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 2
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 7
[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]     => 6
[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]     => 10
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 16
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 15
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 9
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 14
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 11
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 10
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 5
[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]     => 11
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 10
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 9
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 5
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 6
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 12
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 17
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 11
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => 11
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => 10
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 16
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 11
[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]     => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 15
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 14
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 9
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => 9
[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]     => 13
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 12
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 11
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 8
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 7
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 2
[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]     => 11
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 10
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 9
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 5
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 5
[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]     => 13
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => 12
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => 11
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => 11
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 10
[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]     => 9
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => 8
[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]     => 6
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 5
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => 8
[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]     => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 3
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 9
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 14
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 12
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 18
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 13
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 7
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 12
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 13
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 12
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 7
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => 7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => 10
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 16
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 21
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 15
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => 15
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => 11
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 17
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 12
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 6
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 11
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 16
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 15
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 10
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => 10
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => 11
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => 17
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => 16
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 10
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 15
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 12
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 11
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 6
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => 10
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => 12
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => 11
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => 10
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => 6
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 10
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 15
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 9
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 9
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 13
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 19
[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]     => 8
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 13
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 14
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 13
[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]     => 8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => 5
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 11
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 16
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 10
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 10
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 6
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 12
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 7
[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]     => 6
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 11
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 10
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 5
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 9
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 15
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 14
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 8
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => 13
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => 10
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 9
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 8
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 10
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 9
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 8
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 4
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 7
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 13
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 18
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 12
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 12
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 11
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => 17
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => 12
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 6
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => 11
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => 16
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 15
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => 10
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => 10
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 8
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 14
[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]     => 7
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => 12
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => 9
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 8
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 3
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 7
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 12
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => 11
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => 10
[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]     => 8
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => 14
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => 13
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 7
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => 12
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => 12
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => 11
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => 6
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => 10
[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]     => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => 6
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => 9
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => 8
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => 7
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => 6
[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]     => 3
[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]     => 10
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 15
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 9
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => 9
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => 13
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => 19
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => 14
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 8
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => 13
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => 14
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => 13
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => 8
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => 8
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 7
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 13
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 18
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 12
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 12
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 8
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 14
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 3
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 8
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 13
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => 12
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => 7
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => 7
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => 11
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 17
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 16
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => 10
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => 15
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 12
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => 11
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => 6
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => 10
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => 12
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => 11
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => 10
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => 6
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 11
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 16
[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]     => 10
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => 9
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 15
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 10
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 9
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 14
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => 13
[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]     => 8
[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]     => 12
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 11
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 5
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 10
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 7
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 6
[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]     => 5
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 10
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 9
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 8
[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]     => 8
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => 14
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => 13
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 7
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => 12
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => 12
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => 11
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => 6
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => 10
[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]     => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => 6
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => 9
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => 8
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => 7
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => 6
[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]     => 5
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => 11
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => 16
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => 10
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => 10
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 9
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => 15
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => 10
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => 9
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => 14
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => 13
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => 8
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => 8
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 8
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => 14
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => 13
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 7
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 12
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 9
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 8
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => 7
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => 12
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => 11
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 10
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 6
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 6
[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]     => 12
[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]     => 5
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => 10
[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]     => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => 8
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => 7
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 6
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 5
[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]     => 4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 9
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 8
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => 7
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => 6
[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]     => 3
[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]     => 12
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => 11
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => 5
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => 10
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => 10
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => 9
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => 4
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => 8
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => 9
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => 8
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => 7
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => 6
[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]     => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => 3
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => 7
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => 6
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => 5
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => 4
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => 3
[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] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 13
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 11
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 18
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 11
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 11
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 22
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 15
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 15
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 17
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 16
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 15
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 17
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 16
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 15
[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] => 10
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 9
[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] => 10
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 14
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 20
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 13
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 18
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 25
[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] => 12
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 18
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 19
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 18
[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] => 12
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 15
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 21
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 14
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 14
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 9
[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] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 15
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 14
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 13
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 20
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 19
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 18
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 7
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 12
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 14
[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] => 12
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 15
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 21
[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] => 14
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 13
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 20
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 13
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 19
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 18
[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] => 12
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 16
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 15
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 14
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 8
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 13
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 16
[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] => 8
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 14
[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] => 7
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 7
[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] => 3
[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] => 5
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 12
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 18
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 11
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 11
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 23
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 17
[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] => 16
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 16
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 14
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 21
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 27
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 20
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 20
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 15
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 22
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 16
[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] => 15
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 21
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 20
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 14
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 14
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 15
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 22
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 21
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 14
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 20
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 16
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 15
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 14
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 16
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 15
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 14
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 13
[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] => 12
[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] => 17
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 24
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 18
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 11
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 17
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 18
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 17
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 11
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 20
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 15
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 14
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 19
[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] => 11
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 17
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 13
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11
[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] => 6
[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] => 10
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 17
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 23
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 16
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 15
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 22
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 16
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 15
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 21
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 20
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 14
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 14
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 11
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 18
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 17
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 16
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5
[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] => 16
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 15
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 14
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 11
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 18
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 17
[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] => 16
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 16
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 15
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 14
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 12
[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] => 5
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 12
[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] => 10
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 5
[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] => 13
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 19
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 12
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 12
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 17
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 24
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 18
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 17
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 17
[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] => 11
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 17
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 23
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 16
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 11
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 18
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 16
[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] => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 15
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 22
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 21
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 20
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 16
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 15
[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] => 14
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 16
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 15
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 14
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 7
[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] => 20
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 13
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 19
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 13
[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] => 12
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 18
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 17
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 15
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 14
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 13
[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] => 8
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 7
[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] => 6
[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] => 11
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 18
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 17
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 16
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 16
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 15
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 14
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 9
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 10
[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] => 5
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 13
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 13
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 19
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 13
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 18
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 17
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 11
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 18
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 17
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 16
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 16
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 15
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 14
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 9
[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] => 8
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 15
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 14
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 13
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 13
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 12
[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] => 11
[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] => 8
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[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] => 12
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 10
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 9
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 15
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 14
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 13
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 13
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 9
[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] => 8
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 7
[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] => 2
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5
[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] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[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] => 14
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 21
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 15
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8
[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] => 15
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 12
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 19
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 25
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 18
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 18
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 13
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 20
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 14
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 13
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 19
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 18
[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] => 13
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 20
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 19
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 12
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 18
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 14
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 13
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 7
[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] => 14
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 13
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 12
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 7
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10
[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] => 23
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 16
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 16
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 21
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 28
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 22
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 15
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 21
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 22
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 21
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 15
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 15
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 11
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 18
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 24
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 17
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 17
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 12
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 19
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 13
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 12
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 18
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 17
[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] => 16
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 23
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 22
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 15
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 21
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 17
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 16
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 15
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 17
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 16
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 15
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 10
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 11
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 18
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 24
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 17
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 17
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 16
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 23
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 17
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 16
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 22
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 21
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 15
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 15
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 12
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 19
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 18
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 17
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 13
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[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] => 17
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 16
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 15
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 19
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 18
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 17
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 17
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 16
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 15
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 13
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 6
[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] => 13
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 11
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 17
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 10
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 15
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 22
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 16
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 13

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Created: Aug 23, 2017 at 01:00 by Martin Rubey

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Last Updated: Aug 23, 2017 at 01:00 by Martin Rubey