***************************************************************************** * 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: St000984 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of boxes below precisely one peak. Imagine that each peak of the Dyck path, drawn with north and east steps, casts a shadow onto the triangular region between it and the diagonal. This statistic is the number of cells which are in the shade of precisely one peak. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def cells(D): n = len(D)/2 + 1 a = list(reversed(D.reverse().to_area_sequence())) return [ (i,j) for j in range(1,n) for i in range(j) if j <= i+a[i]+1 ] def peaks(D): ps = [] for x in D.peaks(): x += 1 i = D[:x].count(0) j = x-i-1 if i < j: ps.append( (i,j) ) return ps def statistic(D): cs = cells(D) ps = peaks(D) return len([c for c in cs if sum( 1 for p in ps if p[0] <= c[0] < c[1] <= p[1] ) == 1]) ----------------------------------------------------------------------------- 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] => 2 [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] => 2 [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] => 2 [1,1,0,1,0,1,0,0] => 3 [1,1,0,1,1,0,0,0] => 4 [1,1,1,0,0,0,1,0] => 3 [1,1,1,0,0,1,0,0] => 4 [1,1,1,0,1,0,0,0] => 4 [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] => 2 [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] => 2 [1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,1,1,0,1,0,0,0] => 4 [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] => 3 [1,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0] => 3 [1,1,0,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,1,1,0,0,0,1,0] => 4 [1,1,0,1,1,0,0,1,0,0] => 5 [1,1,0,1,1,0,1,0,0,0] => 5 [1,1,0,1,1,1,0,0,0,0] => 7 [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] => 4 [1,1,1,0,0,1,0,1,0,0] => 5 [1,1,1,0,0,1,1,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,0,0] => 5 [1,1,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,0,0,0] => 7 [1,1,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,0,0,1,0,0] => 7 [1,1,1,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,0,0,0] => 6 [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] => 2 [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] => 2 [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] => 4 [1,0,1,0,1,1,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,0,0] => 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] => 3 [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] => 2 [1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,1,0,0] => 5 [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] => 7 [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] => 4 [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] => 6 [1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,1,1,0,1,1,0,0,0,0] => 7 [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] => 7 [1,0,1,1,1,1,0,0,1,0,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,0] => 6 [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] => 3 [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] => 3 [1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,0,1,1,0,0,0] => 5 [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] => 5 [1,1,0,0,1,1,1,0,1,0,0,0] => 5 [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] => 2 [1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,0] => 6 [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] => 4 [1,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,0] => 5 [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] => 7 [1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,1,0,1,1,1,0,0,0,0,1,0] => 7 [1,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,0,0] => 11 [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] => 5 [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] => 4 [1,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,1,0,0] => 6 [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] => 6 [1,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,0] => 9 [1,1,1,0,1,0,0,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,1,0,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,0,0,1,0] => 5 [1,1,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,1,1,0,1,1,0,0,0,0,1,0] => 7 [1,1,1,0,1,1,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,0,1,1,0,1,0,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,0,0] => 11 [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] => 7 [1,1,1,1,0,0,0,1,0,1,0,0] => 8 [1,1,1,1,0,0,0,1,1,0,0,0] => 9 [1,1,1,1,0,0,1,0,0,0,1,0] => 7 [1,1,1,1,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,0,1,0,1,0,0,0] => 8 [1,1,1,1,0,0,1,1,0,0,0,0] => 10 [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] => 7 [1,1,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,1,0,0,0,0] => 7 [1,1,1,1,0,1,1,0,0,0,0,0] => 10 [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] => 11 [1,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,1,1,1,1,0,1,0,0,0,0,0] => 8 [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] => 2 [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] => 2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4 [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] => 4 [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] => 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] => 3 [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] => 2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7 [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] => 4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 7 [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] => 7 [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] => 6 [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] => 3 [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] => 3 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [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] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6 [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] => 8 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 11 [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] => 5 [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] => 4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7 [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] => 4 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 11 [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] => 7 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 8 [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] => 6 [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] => 7 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10 [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] => 11 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8 [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] => 3 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5 [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] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [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] => 4 [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] => 3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8 [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] => 5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [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] => 8 [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] => 8 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7 [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] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6 [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] => 3 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 5 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 6 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 8 [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] => 9 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 6 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 8 [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] => 5 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6 [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] => 8 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 9 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 9 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 9 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 12 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 8 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 9 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 8 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 9 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9 [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] => 7 [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] => 8 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 8 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 12 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 12 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 16 [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] => 5 [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] => 5 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 6 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 7 [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] => 7 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 7 [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] => 4 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 7 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 6 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7 [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] => 7 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 8 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 10 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 6 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 7 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 8 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 7 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 8 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8 [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] => 9 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10 [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] => 9 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 13 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 7 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 6 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 7 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 8 [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] => 10 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 8 [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] => 9 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 8 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 12 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 8 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 9 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 10 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 8 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 7 [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] => 8 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 8 [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] => 11 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 12 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 12 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 16 [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] => 8 [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] => 7 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 8 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 9 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 10 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 10 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 12 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 8 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 8 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 9 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 10 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 8 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 9 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10 [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] => 11 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 10 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 14 [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] => 7 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 8 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 7 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 8 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 10 [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] => 8 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 8 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 8 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 9 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 15 [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] => 11 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 12 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 13 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 12 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 12 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 14 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 10 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 14 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 9 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 9 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 9 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 13 [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] => 16 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 16 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 15 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 13 [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] => 2 [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] => 2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4 [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] => 3 [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] => 2 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3 [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] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7 [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] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 7 [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] => 7 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 7 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 6 [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] => 3 [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] => 3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5 [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] => 2 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6 [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] => 4 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 7 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 8 [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] => 11 [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] => 5 [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] => 4 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6 [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] => 7 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 8 [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] => 11 [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] => 7 [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] => 9 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 8 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10 [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] => 11 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8 [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] => 3 [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] => 3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5 [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] => 5 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5 [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] => 4 [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] => 3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8 [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] => 5 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 8 [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] => 8 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 8 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7 [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] => 2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [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] => 9 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 9 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 9 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 7 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 9 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 8 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 9 [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] => 11 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 12 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 12 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 16 [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] => 5 [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] => 5 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 7 [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] => 7 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 7 [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] => 4 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 7 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 8 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 8 [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] => 6 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 10 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10 [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] => 13 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6 [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] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 8 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 10 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9 [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] => 11 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 7 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 16 [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] => 8 [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] => 7 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 12 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 7 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 10 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 8 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 14 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 7 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 7 [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] => 8 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10 [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] => 11 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 15 [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] => 11 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 12 [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] => 11 [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] => 12 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 14 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 10 [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] => 11 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 14 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 13 [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] => 16 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 16 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 15 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 13 [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] => 3 [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] => 3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 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] => 4 [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] => 3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 8 [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] => 5 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 8 [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] => 8 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 8 [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] => 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] => 4 [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] => 4 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 6 [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] => 6 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 6 [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] => 3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5 [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] => 7 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 9 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 8 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 9 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 9 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 12 [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] => 6 [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] => 5 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 8 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 9 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 8 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 9 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 8 [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] => 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] => 8 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 8 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 7 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11 [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] => 12 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 12 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9 [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] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3 ----------------------------------------------------------------------------- Created: Sep 13, 2017 at 16:11 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 13, 2017 at 16:11 by Martin Rubey