***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- 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. ----------------------------------------------------------------------------- References: [1] Mare Global dimension and Dyck path combinatorics [[MathOverflow:259113]] ----------------------------------------------------------------------------- Code: ----------------------------------------------------------------------------- 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 ----------------------------------------------------------------------------- Created: Jan 10, 2017 at 12:41 by Rene Marczinzik ----------------------------------------------------------------------------- Last Updated: Jan 12, 2017 at 09:16 by Christian Stump