***************************************************************************** * 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: St000946 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The sum of the skew hook positions in a Dyck path. A skew hook is an occurrence of a down step followed by two up steps or of an up step followed by a down step. Write $U_i$ for the $i$-th up step and $D_j$ for the $j$-th down step in the Dyck path. Then the skew hook set is the set $$H = \{j: U_{i−1} U_i D_j \text{ is a skew hook}\} \cup \{i: D_{i−1} D_i U_j\text{ is a skew hook}\}.$$ This statistic is the sum of all elements in $H$. ----------------------------------------------------------------------------- References: [1] Zhao, H., Zhong, Z. Two statistics linking Dyck paths and non-crossing partitions [[MathSciNet:2788700]] ----------------------------------------------------------------------------- Code: def statistic(P): # record for each step how many steps of the same type there were before i = j = 0 S = [None]*len(P) for k, s in enumerate(P): if s == 0: j += 1 S[k] = j else: i += 1 S[k] = i H = [] for k in range(2, len(P)): if P[k-2] == P[k-1] == 1 and P[k] == 0: H.append(S[k]) if P[k-2] == P[k-1] == 0 and P[k] == 1: H.append(S[k-1]) return sum(H) ----------------------------------------------------------------------------- Statistic values: [1,0,1,0] => 0 [1,1,0,0] => 1 [1,0,1,0,1,0] => 0 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 3 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0] => 2 [1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0] => 7 [1,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,0] => 9 [1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0] => 7 [1,1,0,0,1,1,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,1,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,0] => 8 [1,1,1,0,0,1,0,0,1,0] => 7 [1,1,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0] => 9 [1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,0,0,1,1,0,0] => 12 [1,0,1,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,1,0,0] => 10 [1,0,1,1,0,0,1,1,0,0,1,0] => 14 [1,0,1,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,1,0,0,1,1,1,0,0,0] => 9 [1,0,1,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,0] => 11 [1,0,1,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0] => 10 [1,0,1,1,0,1,1,0,0,1,0,0] => 9 [1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,0,0] => 7 [1,1,0,0,1,1,0,0,1,0,1,0] => 10 [1,1,0,0,1,1,0,0,1,1,0,0] => 15 [1,1,0,0,1,1,0,1,0,0,1,0] => 11 [1,1,0,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,0,0,1,0] => 11 [1,1,0,0,1,1,1,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,0] => 9 [1,1,0,1,0,0,1,1,0,0,1,0] => 13 [1,1,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,1,0,0,0] => 8 [1,1,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,0,1,1,0,0] => 10 [1,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,1,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,0,0] => 4 [1,1,0,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,1,0,0] => 12 [1,1,0,1,1,0,0,1,0,0,1,0] => 11 [1,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,1,1,0,0,1,1,0,0,0] => 10 [1,1,0,1,1,0,1,0,0,0,1,0] => 8 [1,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,1,1,1,0,0,0,0,1,0] => 8 [1,1,0,1,1,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,0] => 9 [1,1,1,0,0,0,1,1,0,0,1,0] => 13 [1,1,1,0,0,0,1,1,0,1,0,0] => 8 [1,1,1,0,0,0,1,1,1,0,0,0] => 8 [1,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,0,1,1,0,0] => 12 [1,1,1,0,0,1,0,1,0,0,1,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,0,0,1,1,0,0,0,1,0] => 11 [1,1,1,0,0,1,1,0,0,1,0,0] => 10 [1,1,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,0] => 10 [1,1,1,0,1,0,0,1,0,0,1,0] => 9 [1,1,1,0,1,0,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,1,0,0,0] => 8 [1,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,1,1,0,1,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,0,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,1,0,1,1,1,0,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,0,0,0,1,0,0,1,0] => 9 [1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,1,1,1,0,0,0,1,1,0,0,0] => 8 [1,1,1,1,0,0,1,0,0,0,1,0] => 8 [1,1,1,1,0,0,1,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 9 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 10 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 13 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 12 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 12 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 8 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 13 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 12 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 14 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 13 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 11 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 16 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 10 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 14 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 20 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 15 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 9 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 15 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 9 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 12 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 17 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 11 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 11 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 13 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 12 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 16 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 15 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 14 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 10 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 12 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 17 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 11 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 16 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 10 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 15 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 14 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 11 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 7 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 14 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 18 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 13 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 12 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 13 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 12 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 10 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 16 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 21 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 15 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 15 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 17 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 12 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 16 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 15 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 10 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 17 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 16 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 15 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 12 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 11 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 6 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 10 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 15 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 9 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 13 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 19 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 14 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 13 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 14 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 13 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 8 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 11 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 16 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 10 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 12 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 10 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 5 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 15 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 14 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 13 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 4 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 10 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 9 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 13 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 18 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 12 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 12 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 11 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 17 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 12 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 11 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 16 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 15 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 10 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 10 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 8 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 14 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 13 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 12 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 10 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 8 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 14 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 13 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 12 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 11 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 10 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 9 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 6 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 9 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 6 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 10 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 15 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 9 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 9 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 13 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 19 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 14 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 8 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 13 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 14 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 13 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 8 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 13 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 18 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 12 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 12 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 8 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 14 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 9 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 8 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 13 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 12 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 11 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 17 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 16 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 10 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 15 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 12 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 11 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 10 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 12 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 6 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 11 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 16 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 10 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 10 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 9 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 15 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 10 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 9 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 14 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 13 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 8 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 12 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 11 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 5 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 10 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 10 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 8 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 14 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 13 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 12 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 11 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 10 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 9 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 9 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 11 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 16 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 10 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 10 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 9 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 15 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 10 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 9 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 14 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 13 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 8 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 8 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 8 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 14 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 13 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 12 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 9 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 7 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 12 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 10 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 6 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 12 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 11 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 10 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 10 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 9 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 6 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 9 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 12 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 10 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 10 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 9 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 4 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 9 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 13 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 18 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 12 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 11 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 11 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 22 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 15 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 15 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 17 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 11 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 16 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 15 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 17 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 16 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 15 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 14 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 20 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 13 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 13 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 18 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 25 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 19 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 12 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 18 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 19 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 18 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 12 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 15 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 21 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 16 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 15 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 14 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 8 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 13 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 20 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 19 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 12 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 18 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 14 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 13 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 14 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 13 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 12 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 15 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 21 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 14 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 14 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 13 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 20 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 14 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 13 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 19 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 18 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 16 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 15 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 14 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 14 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 13 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 12 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 16 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 15 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 14 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 14 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 13 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 12 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 9 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 9 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 12 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 18 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 11 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 11 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 23 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 17 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 10 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 16 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 17 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 16 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 10 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 14 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 21 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 27 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 20 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 20 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 15 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 22 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 16 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 15 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 21 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 20 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 14 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 15 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 22 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 21 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 20 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 16 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 15 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 14 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 16 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 15 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 14 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 13 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 19 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 12 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 12 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 17 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 24 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 18 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 11 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 17 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 18 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 17 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 11 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 14 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 20 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 13 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 13 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 15 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 14 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 13 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 12 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 19 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 18 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 11 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 17 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 13 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 12 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 13 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 12 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 10 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 17 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 23 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 16 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 16 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 15 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 22 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 16 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 15 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 21 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 20 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 14 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 11 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 18 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 17 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 10 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 16 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 16 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 15 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 11 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 18 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 17 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 16 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 16 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 15 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 12 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 10 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 13 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 19 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 12 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 12 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 17 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 24 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 18 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 11 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 17 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 18 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 17 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 11 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 11 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 17 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 23 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 16 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 16 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 18 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 17 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 16 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 15 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 22 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 21 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 14 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 20 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 16 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 15 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 14 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 16 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 15 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 14 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 14 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 20 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 13 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 13 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 19 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 13 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 18 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 17 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 15 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 14 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 13 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 13 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 11 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 18 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 17 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 16 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 15 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 14 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 14 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 20 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 13 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 13 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 19 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 12 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 18 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 17 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 11 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 18 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 17 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 10 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 16 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 12 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 11 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 16 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 15 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 14 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 8 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 15 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 14 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 11 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 8 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 15 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 14 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 13 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 13 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 10 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 9 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 14 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 21 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 15 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 14 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 15 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 14 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 8 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 12 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 19 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 25 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 18 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 18 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 13 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 20 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 14 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 13 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 19 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 18 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 12 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 13 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 20 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 19 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 12 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 18 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 14 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 13 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 12 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 14 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 13 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 12 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 23 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 16 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 16 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 21 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 28 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 22 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 15 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 21 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 22 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 21 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 15 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 15 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 11 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 18 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 24 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 17 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 17 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 12 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 19 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 13 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 12 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 18 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 17 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 16 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 23 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 22 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 15 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 21 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 17 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 16 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 10 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 15 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 17 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 16 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 15 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 10 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 11 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 18 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 24 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 17 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 17 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 16 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 23 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 17 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 16 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 22 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 21 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 15 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 15 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 12 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 19 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 18 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 17 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 13 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 12 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 17 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 16 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 15 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 19 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 18 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 11 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 17 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 17 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 16 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 15 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 13 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 11 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 13 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 12 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 11 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 17 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 10 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 15 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 22 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 16 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 15 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 16 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 15 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 9 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 13 ----------------------------------------------------------------------------- Created: Aug 23, 2017 at 01:00 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Aug 23, 2017 at 01:00 by Martin Rubey