***************************************************************************** * 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: St000683 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of points below the Dyck path such that the diagonal to the north-east hits the path between two down steps, and the diagonal to the north-west hits the path between two up steps. ----------------------------------------------------------------------------- References: [1] Mare Counting QF-1 algebras inside quotient algebras of upper triangular matrices via Dyck paths [[MathOverflow:259038]] ----------------------------------------------------------------------------- Code: def statistic(D): """Return the number of points such that the diagonal to the north-east hits the path between two down steps, and the diagonal to the north-west hits the path between two up steps. sage: statistic([1,1,0,1,1,0,1,1,0,0,0,0]) 4 sage: [len([D for D in DyckWords(r) if statistic(D) == 0]) for r in range(8)] [1, 1, 1, 2, 4, 8, 17, 37, 81, 179] """ D = DyckWord(D) H = D.heights() left_bad_points = [(i+1, H[i+1]) for i in range(len(D)-1) if D[i] == D[i+1] == 1] right_bad_points = [(i+1, H[i+1]) for i in range(len(D)-1) if D[i] == D[i+1] == 0] result = 0 for i,h in enumerate(D.heights()): for j in range(h-2,-1,-2): if (any((i-a + j-b) == 0 for (a,b) in left_bad_points) and any((i-a - j+b) == 0 for (a,b) in right_bad_points)): result += 1 return result ----------------------------------------------------------------------------- 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] => 1 [1,1,0,0,1,0] => 1 [1,1,0,1,0,0] => 0 [1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,0] => 6 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,0,0,1,0,0] => 5 [1,1,1,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,0,0,0,0] => 10 [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] => 1 [1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0] => 1 [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] => 3 [1,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,1,1,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0] => 5 [1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,1,1,1,0,0,0,0,0] => 9 [1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,1,0,0,0,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,0] => 5 [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] => 4 [1,1,1,1,0,0,1,0,0,1,0,0] => 4 [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] => 7 [1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,1,0,0,1,0,0,0] => 2 [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] => 7 [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] => 15 [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] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4 [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] => 10 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [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] => 6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 8 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 15 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [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] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 6 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [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] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 9 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 6 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 7 [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] => 6 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 14 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 6 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 3 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 5 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 9 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 6 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 5 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 5 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 6 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 7 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 5 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [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] => 8 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 6 [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] => 5 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 13 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 7 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 9 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 6 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 7 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 6 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 10 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 7 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 6 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 11 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 12 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 9 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 9 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 11 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 8 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 11 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 7 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 11 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [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] => 3 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 15 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 14 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 13 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 12 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 21 [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] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 9 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1 [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] => 6 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 15 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 9 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 7 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 14 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 6 [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] => 13 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 7 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 6 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 9 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 7 [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] => 7 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 7 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6 [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] => 11 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 15 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 14 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 13 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 12 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 10 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 21 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 7 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 11 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4 [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] => 4 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 5 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 11 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 7 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 16 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 ----------------------------------------------------------------------------- Created: Jan 08, 2017 at 16:14 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jan 08, 2017 at 16:14 by Martin Rubey