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-----------------------------------------------------------------------------
Statistic identifier: St000684
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The global dimension of the LNakayama algebra associated to a Dyck path.
An n-LNakayama algebra is a quiver algebra with a directed line as a connected quiver with $n$ points for $n \geq 2$. Number those points from the left to the right by $0,1,\ldots,n-1$.
The algebra is then uniquely determined by the dimension $c_i$ of the projective indecomposable modules at point $i$. Such algebras are then uniquely determined by lists of the form $[c_0,c_1,...,c_{n-1}]$ with the conditions: $c_{n-1}=1$ and $c_i -1 \leq c_{i+1}$ for all $i$. The number of such algebras is then the $n-1$-st Catalan number $C_{n-1}$.
One can get also an interpretation with Dyck paths by associating the top boundary of the Auslander-Reiten quiver (which is a Dyck path) to those algebras. Example: [3,4,3,3,2,1] corresponds to the Dyck path [1,1,0,1,1,0,0,1,0,0].
Conjecture: that there is an explicit bijection between $n$-LNakayama algebras with global dimension bounded by $m$ and Dyck paths with height at most $m$.
Examples:
* For $m=2$, the number of Dyck paths with global dimension at most $m$ starts for $n \geq 2$ with 1,2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
* For $m=3$, the number of Dyck paths with global dimension at most $m$ starts for $n \geq 2$ with 1, 2, 5, 13, 34, 89, 233, 610, 1597, 4181, 10946, 28657, 75025, 196418.
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References: [1] Mare Global dimension and Dyck path combinatorics [[MathOverflow:259113]]
-----------------------------------------------------------------------------
Code:
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Statistic values:
[1,0] => 1
[1,0,1,0] => 2
[1,1,0,0] => 1
[1,0,1,0,1,0] => 3
[1,0,1,1,0,0] => 2
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,0] => 3
[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] => 2
[1,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,0] => 2
[1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,0] => 3
[1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => 6
[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] => 4
[1,0,1,0,1,0,1,1,0,1,0,0] => 5
[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] => 3
[1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,0] => 4
[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] => 4
[1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0] => 4
[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] => 3
[1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => 3
[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] => 5
[1,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => 3
[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] => 5
[1,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,0] => 3
[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] => 3
[1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,0] => 4
[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] => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,0,0] => 2
[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] => 3
[1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,0] => 4
[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] => 3
[1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0] => 3
[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] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,1,1,1,0,0,1,0,0,1,0,0] => 3
[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] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,0,0] => 3
[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] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => 2
[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] => 7
[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] => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[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] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5
[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] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[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] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[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] => 5
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[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] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[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] => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[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] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[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] => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[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] => 6
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3
[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] => 4
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3
[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] => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[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] => 4
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[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] => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[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] => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3
[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] => 3
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 3
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3
[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] => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3
[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] => 3
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 3
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3
[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] => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[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] => 8
[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] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7
[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] => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 5
[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] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 6
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 5
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => 5
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Created: Jan 10, 2017 at 12:41 by Rene Marczinzik
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Last Updated: Jan 12, 2017 at 09:16 by Christian Stump