***************************************************************************** * 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: St000027 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The major index of a Dyck path. This is the sum over all $i+j$ for which $(i,j)$ is a valley of $D$. The generating function of the major index yields '''MacMahon''' 's $q$-Catalan numbers $$\sum_{D \in \mathfrak{D}_n} q^{\operatorname{maj}(D)} = \frac{1}{[n+1]_q}\begin{bmatrix} 2n \\ n \end{bmatrix}_q,$$ where $[k]_q := 1+q+\ldots+q^{k-1}$ is the usual $q$-extension of the integer $k$, $[k]_q!:= [1]_q[2]_q \cdots [k]_q$ is the $q$-factorial of $k$ and $\left[\begin{smallmatrix} k \\ l \end{smallmatrix}\right]_q:=[k]_q!/[l]_q![k-l]_q!$ is the $q$-binomial coefficient. The major index was first studied by P.A.MacMahon in [1], where he proved this generating function identity. There is a bijection $\psi$ between Dyck paths and '''noncrossing permutations''' which simultaneously sends the area of a Dyck path [[St000012]] to the number of inversions [[St000018]], and the major index of the Dyck path to $n(n-1)$ minus the sum of the major index and the major index of the inverse [2]. For the major index on other collections, see [[St000004]] for permutations and [[St000290]] for binary words. ----------------------------------------------------------------------------- References: [1] MacMahon, P. A. Combinatory analysis [[MathSciNet:0141605]] [2] Stump, C. More bijective Catalan combinatorics on permutations and on signed permutations [[arXiv:0808.2822]] ----------------------------------------------------------------------------- Code: def statistic(x): return x.major_index() ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 0 [1,0,1,0] => 2 [1,1,0,0] => 0 [1,0,1,0,1,0] => 6 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 4 [1,1,0,1,0,0] => 3 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 12 [1,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,0] => 7 [1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0] => 10 [1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0] => 9 [1,1,0,1,0,1,0,0] => 8 [1,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,0,1,0] => 6 [1,1,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 20 [1,0,1,0,1,0,1,1,0,0] => 12 [1,0,1,0,1,1,0,0,1,0] => 14 [1,0,1,0,1,1,0,1,0,0] => 13 [1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0] => 16 [1,0,1,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,0] => 15 [1,0,1,1,0,1,0,1,0,0] => 14 [1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,1,1,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0] => 18 [1,1,0,0,1,0,1,1,0,0] => 10 [1,1,0,0,1,1,0,0,1,0] => 12 [1,1,0,0,1,1,0,1,0,0] => 11 [1,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0] => 17 [1,1,0,1,0,0,1,1,0,0] => 9 [1,1,0,1,0,1,0,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,0] => 15 [1,1,0,1,0,1,1,0,0,0] => 8 [1,1,0,1,1,0,0,0,1,0] => 11 [1,1,0,1,1,0,0,1,0,0] => 10 [1,1,0,1,1,0,1,0,0,0] => 9 [1,1,0,1,1,1,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0] => 14 [1,1,1,0,0,0,1,1,0,0] => 6 [1,1,1,0,0,1,0,0,1,0] => 13 [1,1,1,0,0,1,0,1,0,0] => 12 [1,1,1,0,0,1,1,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,0,0] => 11 [1,1,1,0,1,0,1,0,0,0] => 10 [1,1,1,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0] => 8 [1,1,1,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 30 [1,0,1,0,1,0,1,0,1,1,0,0] => 20 [1,0,1,0,1,0,1,1,0,0,1,0] => 22 [1,0,1,0,1,0,1,1,0,1,0,0] => 21 [1,0,1,0,1,0,1,1,1,0,0,0] => 12 [1,0,1,0,1,1,0,0,1,0,1,0] => 24 [1,0,1,0,1,1,0,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,0,1,0] => 23 [1,0,1,0,1,1,0,1,0,1,0,0] => 22 [1,0,1,0,1,1,0,1,1,0,0,0] => 13 [1,0,1,0,1,1,1,0,0,0,1,0] => 16 [1,0,1,0,1,1,1,0,0,1,0,0] => 15 [1,0,1,0,1,1,1,0,1,0,0,0] => 14 [1,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0] => 26 [1,0,1,1,0,0,1,0,1,1,0,0] => 16 [1,0,1,1,0,0,1,1,0,0,1,0] => 18 [1,0,1,1,0,0,1,1,0,1,0,0] => 17 [1,0,1,1,0,0,1,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,0] => 25 [1,0,1,1,0,1,0,0,1,1,0,0] => 15 [1,0,1,1,0,1,0,1,0,0,1,0] => 24 [1,0,1,1,0,1,0,1,0,1,0,0] => 23 [1,0,1,1,0,1,0,1,1,0,0,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,0] => 17 [1,0,1,1,0,1,1,0,0,1,0,0] => 16 [1,0,1,1,0,1,1,0,1,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,0,0,1,0,1,0] => 20 [1,0,1,1,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,0] => 19 [1,0,1,1,1,0,0,1,0,1,0,0] => 18 [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] => 18 [1,0,1,1,1,0,1,0,0,1,0,0] => 17 [1,0,1,1,1,0,1,0,1,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,0] => 9 [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] => 28 [1,1,0,0,1,0,1,0,1,1,0,0] => 18 [1,1,0,0,1,0,1,1,0,0,1,0] => 20 [1,1,0,0,1,0,1,1,0,1,0,0] => 19 [1,1,0,0,1,0,1,1,1,0,0,0] => 10 [1,1,0,0,1,1,0,0,1,0,1,0] => 22 [1,1,0,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,0,1,0,0,1,0] => 21 [1,1,0,0,1,1,0,1,0,1,0,0] => 20 [1,1,0,0,1,1,0,1,1,0,0,0] => 11 [1,1,0,0,1,1,1,0,0,0,1,0] => 14 [1,1,0,0,1,1,1,0,0,1,0,0] => 13 [1,1,0,0,1,1,1,0,1,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0] => 27 [1,1,0,1,0,0,1,0,1,1,0,0] => 17 [1,1,0,1,0,0,1,1,0,0,1,0] => 19 [1,1,0,1,0,0,1,1,0,1,0,0] => 18 [1,1,0,1,0,0,1,1,1,0,0,0] => 9 [1,1,0,1,0,1,0,0,1,0,1,0] => 26 [1,1,0,1,0,1,0,0,1,1,0,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,0] => 25 [1,1,0,1,0,1,0,1,0,1,0,0] => 24 [1,1,0,1,0,1,0,1,1,0,0,0] => 15 [1,1,0,1,0,1,1,0,0,0,1,0] => 18 [1,1,0,1,0,1,1,0,0,1,0,0] => 17 [1,1,0,1,0,1,1,0,1,0,0,0] => 16 [1,1,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,0,1,1,0,0,0,1,0,1,0] => 21 [1,1,0,1,1,0,0,0,1,1,0,0] => 11 [1,1,0,1,1,0,0,1,0,0,1,0] => 20 [1,1,0,1,1,0,0,1,0,1,0,0] => 19 [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] => 19 [1,1,0,1,1,0,1,0,0,1,0,0] => 18 [1,1,0,1,1,0,1,0,1,0,0,0] => 17 [1,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,1,0,1,1,1,0,0,0,0,1,0] => 13 [1,1,0,1,1,1,0,0,0,1,0,0] => 12 [1,1,0,1,1,1,0,0,1,0,0,0] => 11 [1,1,0,1,1,1,0,1,0,0,0,0] => 10 [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] => 24 [1,1,1,0,0,0,1,0,1,1,0,0] => 14 [1,1,1,0,0,0,1,1,0,0,1,0] => 16 [1,1,1,0,0,0,1,1,0,1,0,0] => 15 [1,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,0] => 23 [1,1,1,0,0,1,0,0,1,1,0,0] => 13 [1,1,1,0,0,1,0,1,0,0,1,0] => 22 [1,1,1,0,0,1,0,1,0,1,0,0] => 21 [1,1,1,0,0,1,0,1,1,0,0,0] => 12 [1,1,1,0,0,1,1,0,0,0,1,0] => 15 [1,1,1,0,0,1,1,0,0,1,0,0] => 14 [1,1,1,0,0,1,1,0,1,0,0,0] => 13 [1,1,1,0,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,0] => 22 [1,1,1,0,1,0,0,0,1,1,0,0] => 12 [1,1,1,0,1,0,0,1,0,0,1,0] => 21 [1,1,1,0,1,0,0,1,0,1,0,0] => 20 [1,1,1,0,1,0,0,1,1,0,0,0] => 11 [1,1,1,0,1,0,1,0,0,0,1,0] => 20 [1,1,1,0,1,0,1,0,0,1,0,0] => 19 [1,1,1,0,1,0,1,0,1,0,0,0] => 18 [1,1,1,0,1,0,1,1,0,0,0,0] => 10 [1,1,1,0,1,1,0,0,0,0,1,0] => 14 [1,1,1,0,1,1,0,0,0,1,0,0] => 13 [1,1,1,0,1,1,0,0,1,0,0,0] => 12 [1,1,1,0,1,1,0,1,0,0,0,0] => 11 [1,1,1,0,1,1,1,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0,1,0] => 18 [1,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,1,1,0,0,0,1,0,0,1,0] => 17 [1,1,1,1,0,0,0,1,0,1,0,0] => 16 [1,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,0] => 16 [1,1,1,1,0,0,1,0,0,1,0,0] => 15 [1,1,1,1,0,0,1,0,1,0,0,0] => 14 [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] => 15 [1,1,1,1,0,1,0,0,0,1,0,0] => 14 [1,1,1,1,0,1,0,0,1,0,0,0] => 13 [1,1,1,1,0,1,0,1,0,0,0,0] => 12 [1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,0,0,0,1,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 42 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 30 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 32 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 31 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 20 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 34 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 22 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 33 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 32 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 21 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 24 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 23 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 22 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 36 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 24 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 26 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 25 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 14 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 35 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 23 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 34 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 33 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 22 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 25 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 24 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 23 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 13 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 28 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 16 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 27 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 26 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 15 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 26 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 25 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 24 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 14 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 18 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 17 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 16 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 15 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 38 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 26 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 28 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 27 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 16 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 30 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 18 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 29 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 28 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 17 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 20 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 19 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 18 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 37 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 25 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 27 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 26 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 15 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 36 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 24 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 35 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 34 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 23 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 26 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 25 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 24 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 29 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 17 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 28 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 27 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 16 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 27 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 26 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 25 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 19 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 18 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 17 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 32 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 20 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 22 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 21 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 31 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 19 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 30 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 29 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 18 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 21 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 20 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 19 [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] => 30 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 18 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 29 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 28 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 17 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 28 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 27 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 26 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 20 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 19 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 18 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 17 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 24 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 23 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 22 [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] => 22 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 21 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 20 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 21 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 20 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 19 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 18 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 14 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 13 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10 [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] => 40 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 28 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 30 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 29 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 18 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 32 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 20 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 31 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 30 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 19 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 22 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 21 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 20 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 34 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 22 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 23 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 12 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 33 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 21 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 32 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 31 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 20 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 23 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 22 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 21 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 26 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 14 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 25 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 24 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 13 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 24 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 23 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 22 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 16 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 15 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 14 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 13 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 39 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 27 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 29 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 28 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 17 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 31 [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] => 30 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 29 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 18 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 21 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 20 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 19 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 38 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 26 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 28 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 27 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 37 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 25 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 36 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 35 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 24 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 27 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 26 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 25 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 15 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 30 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 18 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 29 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 28 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 17 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 28 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 27 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 26 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 16 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 20 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 19 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 18 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 17 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 8 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 33 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 21 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 23 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 22 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 11 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 32 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 20 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 31 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 30 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 19 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 22 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 21 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 20 [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] => 31 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 19 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 30 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 29 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 18 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 29 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 28 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 27 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 17 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 21 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 20 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 19 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 18 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 9 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 25 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 13 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 24 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 23 [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] => 23 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 22 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 21 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 22 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 21 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 20 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 19 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 10 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 15 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 14 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 13 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 12 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 11 [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] => 36 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 24 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 26 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 25 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 14 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 28 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 27 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 26 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 15 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 17 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 16 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 35 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 23 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 25 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 24 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 13 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 34 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 22 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 33 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 32 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 21 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 24 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 23 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 22 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 12 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 27 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 15 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 26 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 25 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 14 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 25 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 24 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 23 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 13 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 17 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 16 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 15 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 14 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 34 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 22 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 24 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 23 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 12 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 33 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 21 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 32 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 31 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 20 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 23 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 22 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 21 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 32 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 20 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 31 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 30 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 19 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 30 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 29 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 28 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 18 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 22 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 21 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 20 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 19 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 26 [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] => 25 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 24 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 13 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 24 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 23 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 22 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 12 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 23 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 22 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 21 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 20 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 16 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 15 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 14 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 13 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 12 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 30 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 18 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 19 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 29 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 17 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 28 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 27 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 16 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 19 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 18 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 17 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 28 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 16 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 27 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 26 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 15 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 26 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 25 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 24 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 14 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 18 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 17 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 16 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 15 [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] => 27 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 15 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 26 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 25 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 14 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 25 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 24 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 23 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 13 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 24 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 23 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 22 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 21 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 12 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 17 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 16 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 15 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 14 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 13 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 22 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 21 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 20 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 9 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 20 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 19 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 18 [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] => 19 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 18 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 17 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 16 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 18 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 17 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 16 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 15 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 14 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 11 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 10 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 56 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 42 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 44 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 43 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 30 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 46 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 32 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 45 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 44 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 31 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 34 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 33 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 32 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 20 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 48 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 34 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 36 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 35 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 22 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 47 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 33 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 46 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 45 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 32 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 35 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 34 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 33 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 21 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 38 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 24 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 37 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 36 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 23 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 36 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 35 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 34 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 22 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 26 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 25 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 24 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 23 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 50 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 36 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 38 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 37 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 24 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 40 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 26 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 39 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 38 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 25 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 28 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 27 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 26 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 14 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 49 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 35 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 37 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 36 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 23 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 48 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 34 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 47 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 46 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 33 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 36 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 35 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 34 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 22 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 39 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 25 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 38 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 37 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 24 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 37 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 36 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 35 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 23 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 27 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 26 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 25 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 24 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 13 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 42 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 28 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 30 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 29 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 16 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 41 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 27 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 40 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 39 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 26 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 29 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 28 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 27 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 15 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 40 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 26 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 39 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 38 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 25 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 38 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 37 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 36 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 24 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 28 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 27 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 26 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 25 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 14 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 32 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 18 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 31 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 30 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 17 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 30 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 29 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 28 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 16 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 29 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 28 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 27 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 26 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 15 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 20 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 19 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 18 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 17 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 16 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 52 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 38 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 40 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 39 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 26 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 42 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 28 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 41 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 40 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 27 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 30 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 29 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 28 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 16 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 44 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 30 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 32 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 31 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 18 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 43 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 29 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 42 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 41 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 28 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 31 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 30 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 29 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 17 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 34 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 20 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 33 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 32 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 19 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 32 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 31 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 30 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 18 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 22 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 21 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 20 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 19 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 51 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 37 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 39 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 38 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 25 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 41 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 27 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 40 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 39 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 26 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 29 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 28 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 27 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 15 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 50 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 36 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 38 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 37 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 24 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 49 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 35 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 48 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 47 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 34 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 37 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 36 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 35 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 23 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 40 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 26 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 39 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 38 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 25 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 38 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 37 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 36 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 24 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 28 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 27 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 26 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 25 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 14 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 43 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 29 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 31 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 30 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 17 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 42 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 28 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 41 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 40 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 27 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 30 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 29 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 28 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 16 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 41 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 27 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 40 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 39 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 26 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 39 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 38 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 37 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 25 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 29 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 28 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 27 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 26 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 33 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 19 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 32 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 31 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 18 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 31 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 30 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 29 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 17 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 30 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 29 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 28 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 27 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 16 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 21 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 20 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 19 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 18 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 17 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 46 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 32 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 34 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 33 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 20 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 36 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 22 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 35 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 34 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 21 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 24 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 23 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 22 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 45 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 31 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 33 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 32 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 19 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 44 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 30 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 43 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 42 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 29 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 32 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 31 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 30 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 18 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 35 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 21 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 34 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 33 [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] => 33 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 32 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 31 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 19 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 23 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 22 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 21 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 20 [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] => 44 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 30 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 32 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 31 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 18 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 43 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 29 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 42 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 41 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 28 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 31 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 30 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 29 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 17 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 42 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 28 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 41 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 40 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 27 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 40 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 39 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 38 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 26 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 30 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 29 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 28 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 27 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 34 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 20 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 33 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 32 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 19 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 32 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 31 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 30 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 18 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 31 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 30 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 29 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 28 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 17 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 22 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 21 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 20 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 19 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 18 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 38 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 24 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 26 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 25 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 37 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 23 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 36 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 35 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 22 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 25 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 24 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 23 [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] => 36 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 22 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 35 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 34 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 21 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 34 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 33 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 32 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 20 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 24 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 23 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 22 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 21 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 35 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 21 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 34 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 33 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 20 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 33 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 32 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 31 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 19 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 32 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 31 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 30 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 29 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 18 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 23 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 22 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 21 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 20 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 19 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 28 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 14 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 27 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 26 [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] => 26 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 25 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 24 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 25 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 24 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 23 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 22 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 23 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 22 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 21 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 20 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 10 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 16 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 15 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 14 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 13 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 11 [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] => 54 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 40 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 42 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 41 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 28 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 44 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 30 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 43 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 42 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 29 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 32 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 31 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 30 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 18 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 46 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 32 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 34 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 33 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 20 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 45 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 31 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 44 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 43 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 30 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 33 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 32 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 31 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 19 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 36 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 22 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 35 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 34 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 21 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 34 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 33 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 32 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 20 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 24 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 23 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 22 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 21 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 48 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 34 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 36 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 35 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 22 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 38 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 24 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 37 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 36 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 23 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 26 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 25 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 24 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 47 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 33 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 35 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 34 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 21 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 46 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 32 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 45 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 44 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 31 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 34 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 33 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 32 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 20 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 37 [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] => 36 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 35 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 22 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 35 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 34 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 33 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 21 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 25 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 24 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 23 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 22 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 40 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 26 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 28 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 27 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 14 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 39 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 25 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 38 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 37 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 24 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 27 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 26 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 25 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 13 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 38 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 24 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 37 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 36 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 23 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 36 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 35 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 34 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 22 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 26 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 25 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 24 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 23 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 30 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 16 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 29 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 28 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 15 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 28 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 27 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 26 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 14 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 27 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 26 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 25 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 24 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 13 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 18 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 17 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 16 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 15 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 14 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 53 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 39 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 41 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 40 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 27 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 43 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 29 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 42 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 41 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 28 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 31 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 30 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 29 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 17 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 30 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 32 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 51 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 37 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 50 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 36 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 49 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 48 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 35 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 37 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 36 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 24 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 39 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 37 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 44 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 41 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 47 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 43 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 32 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 32 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 34 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 15 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 13 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 12 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 50 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 36 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 37 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 20 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 47 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 46 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 45 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 38 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 24 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 24 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 12 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 34 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 44 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 35 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 46 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 43 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 44 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 30 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 42 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 41 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 40 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 28 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 24 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 24 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 12 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 36 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 16 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 24 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 13 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 18 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 16 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 15 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 14 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 13 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 20 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 20 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 36 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 38 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 24 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 26 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 24 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 22 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 12 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 17 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 24 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 13 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 19 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 18 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 17 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 16 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 14 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 20 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 22 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 20 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 19 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 21 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 19 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 18 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 28 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 27 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 24 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 14 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 20 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 19 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 18 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 17 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 16 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 12 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 23 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 22 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 20 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 22 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 21 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 19 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 18 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 21 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 20 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 18 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 17 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 14 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 13 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 12 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 11 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 16 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 24 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 25 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 23 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 13 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 11 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 22 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 24 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 14 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 18 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 21 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 15 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 22 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 20 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 16 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 14 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 57 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 56 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 55 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 54 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 54 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 53 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 53 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 52 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 63 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 60 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 66 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 59 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 58 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 63 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 62 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 20 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 70 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 48 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 56 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 50 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 49 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 32 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 22 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 40 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 32 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 41 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 39 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 33 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 31 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 15 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 23 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 24 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 22 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 45 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 44 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 47 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 49 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 59 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 61 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 14 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 13 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 54 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 56 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 64 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 55 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 58 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 65 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 14 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 16 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 17 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 18 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 18 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 27 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 13 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 26 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 16 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 4 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 20 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 24 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 16 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 40 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 45 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 48 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 50 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 49 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 52 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 51 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 53 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 55 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 44 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 46 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 48 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 43 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 42 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 44 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 47 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 50 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 46 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 49 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 52 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 48 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 46 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 46 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 49 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 48 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 50 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 51 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 52 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 48 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 52 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 54 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 56 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 51 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 50 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 52 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 54 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 54 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 54 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 57 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 56 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 58 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 60 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 11 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 73 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 72 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 71 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 70 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 80 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 77 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 84 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 88 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 63 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 36 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 24 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 45 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 17 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 26 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 70 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 72 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 81 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 19 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 20 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 91 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 90 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 99 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 108 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 40 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 26 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 19 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 12 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 11 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 88 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 18 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 67 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 63 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 69 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 65 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 71 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 70 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 67 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 66 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 73 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 73 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 71 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 69 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 69 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 69 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 67 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 67 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 75 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 75 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 73 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 73 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 72 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 71 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 71 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 69 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 69 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 69 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 69 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 69 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 77 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 77 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 76 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 75 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 74 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 73 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 72 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 71 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 73 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 71 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 72 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 71 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 70 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 71 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 71 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 81 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 77 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 79 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 75 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 78 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 77 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 74 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 73 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 77 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 75 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 75 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 77 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 73 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 71 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 75 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 71 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 75 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 75 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 75 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 72 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 75 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 71 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 75 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 71 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 69 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 69 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 73 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 73 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 70 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 74 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 73 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 73 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 69 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 68 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 73 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 67 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 67 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 69 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 68 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 77 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 69 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 66 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 75 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 67 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 67 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 65 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 65 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 76 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 79 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 65 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 68 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 78 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 63 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 57 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 59 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 60 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 61 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 63 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 61 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 63 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 63 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 65 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 66 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 62 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 64 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 66 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 65 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 79 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 72 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 72 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 75 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 78 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 79 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 79 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 81 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 82 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 83 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 87 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 85 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 84 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 81 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 81 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 80 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 76 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 77 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 78 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 79 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 81 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 83 ----------------------------------------------------------------------------- Created: Jun 10, 2012 at 08:35 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Feb 12, 2018 at 22:26 by Martin Rubey