***************************************************************************** * 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: St000645 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The sum of the areas of the rectangles formed by two consecutive peaks and the valley in between. For a Dyck path $D = D_1 \cdots D_{2n}$ with peaks in positions $i_1 < \ldots < i_k$ and valleys in positions $j_1 < \ldots < j_{k-1}$, this statistic is given by $$ \sum_{a=1}^{k-1} (j_a-i_a)(i_{a+1}-j_a) $$ ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(D): I = D.peaks() J = D.valleys() return sum( (J[a]-I[a])*(I[a+1]-J[a]) for a in range(len(J)) ) ----------------------------------------------------------------------------- Statistic values: [] => 0 [1,0] => 0 [1,0,1,0] => 1 [1,1,0,0] => 0 [1,0,1,0,1,0] => 2 [1,0,1,1,0,0] => 2 [1,1,0,0,1,0] => 2 [1,1,0,1,0,0] => 1 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 3 [1,0,1,0,1,1,0,0] => 3 [1,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0] => 3 [1,0,1,1,1,0,0,0] => 3 [1,1,0,0,1,0,1,0] => 3 [1,1,0,0,1,1,0,0] => 4 [1,1,0,1,0,0,1,0] => 3 [1,1,0,1,0,1,0,0] => 2 [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] => 0 [1,0,1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0] => 5 [1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,0] => 4 [1,0,1,1,0,0,1,0,1,0] => 5 [1,0,1,1,0,0,1,1,0,0] => 6 [1,0,1,1,0,1,0,0,1,0] => 5 [1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,0] => 4 [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] => 4 [1,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,0,1,0,1,1,0,0] => 4 [1,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,1,0,1,0,0] => 5 [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] => 5 [1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0] => 3 [1,1,0,1,0,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,0,1,0] => 5 [1,1,0,1,1,0,0,1,0,0] => 4 [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] => 6 [1,1,1,0,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,0] => 4 [1,1,1,0,1,0,0,1,0,0] => 3 [1,1,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,0] => 3 [1,1,1,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 5 [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] => 6 [1,0,1,0,1,0,1,1,0,1,0,0] => 5 [1,0,1,0,1,0,1,1,1,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,0,0,1,1,0,0] => 7 [1,0,1,0,1,1,0,1,0,0,1,0] => 6 [1,0,1,0,1,1,0,1,0,1,0,0] => 5 [1,0,1,0,1,1,0,1,1,0,0,0] => 5 [1,0,1,0,1,1,1,0,0,0,1,0] => 7 [1,0,1,0,1,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,0,0] => 5 [1,0,1,0,1,1,1,1,0,0,0,0] => 5 [1,0,1,1,0,0,1,0,1,0,1,0] => 6 [1,0,1,1,0,0,1,0,1,1,0,0] => 6 [1,0,1,1,0,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,1,0,1,0,0] => 7 [1,0,1,1,0,0,1,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,0] => 6 [1,0,1,1,0,1,0,0,1,1,0,0] => 7 [1,0,1,1,0,1,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,0,1,0,0] => 5 [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] => 7 [1,0,1,1,0,1,1,0,0,1,0,0] => 6 [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] => 7 [1,0,1,1,1,0,0,0,1,1,0,0] => 9 [1,0,1,1,1,0,0,1,0,0,1,0] => 7 [1,0,1,1,1,0,0,1,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,0,0] => 7 [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] => 5 [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] => 8 [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] => 6 [1,0,1,1,1,1,0,1,0,0,0,0] => 5 [1,0,1,1,1,1,1,0,0,0,0,0] => 5 [1,1,0,0,1,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,0,1,1,0,0] => 5 [1,1,0,0,1,0,1,1,0,0,1,0] => 6 [1,1,0,0,1,0,1,1,0,1,0,0] => 5 [1,1,0,0,1,0,1,1,1,0,0,0] => 5 [1,1,0,0,1,1,0,0,1,0,1,0] => 7 [1,1,0,0,1,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,0] => 7 [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] => 6 [1,1,0,0,1,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,0,1,1,0,0] => 5 [1,1,0,1,0,0,1,1,0,0,1,0] => 7 [1,1,0,1,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,0,0] => 7 [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] => 6 [1,1,0,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,1,0,0,0] => 4 [1,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,0,1,0,1,1,0,0,1,0,0] => 5 [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] => 6 [1,1,0,1,1,0,0,0,1,1,0,0] => 8 [1,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,0,1,0,0] => 5 [1,1,0,1,1,0,0,1,1,0,0,0] => 6 [1,1,0,1,1,0,1,0,0,0,1,0] => 6 [1,1,0,1,1,0,1,0,0,1,0,0] => 5 [1,1,0,1,1,0,1,0,1,0,0,0] => 4 [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] => 7 [1,1,0,1,1,1,0,0,0,1,0,0] => 6 [1,1,0,1,1,1,0,0,1,0,0,0] => 5 [1,1,0,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,1,1,1,1,0,0,0,0,0] => 4 [1,1,1,0,0,0,1,0,1,0,1,0] => 5 [1,1,1,0,0,0,1,0,1,1,0,0] => 5 [1,1,1,0,0,0,1,1,0,0,1,0] => 8 [1,1,1,0,0,0,1,1,0,1,0,0] => 7 [1,1,1,0,0,0,1,1,1,0,0,0] => 9 [1,1,1,0,0,1,0,0,1,0,1,0] => 5 [1,1,1,0,0,1,0,0,1,1,0,0] => 6 [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] => 4 [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] => 7 [1,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,1,1,0,0,1,1,0,1,0,0,0] => 5 [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] => 7 [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] => 4 [1,1,1,0,1,0,0,1,1,0,0,0] => 5 [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] => 4 [1,1,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,0] => 5 [1,1,1,0,1,1,0,0,1,0,0,0] => 4 [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] => 8 [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] => 4 [1,1,1,1,0,0,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,1,0,0,0,1,0] => 5 [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] => 4 [1,1,1,1,0,1,0,0,0,0,1,0] => 5 [1,1,1,1,0,1,0,0,0,1,0,0] => 4 [1,1,1,1,0,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,0,0,0,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,0,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6 [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] => 7 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 8 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6 [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] => 7 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 7 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 9 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 9 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 6 [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] => 10 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 8 [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] => 8 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 8 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 6 [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] => 6 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 7 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 9 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 8 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 11 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 10 [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] => 10 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 7 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 9 [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] => 8 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6 [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] => 8 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 7 [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] => 8 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 8 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7 [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] => 6 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 9 [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] => 7 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 8 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 10 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 12 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 8 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 7 [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] => 10 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 9 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 8 [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] => 8 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 8 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 8 [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] => 6 [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] => 9 [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] => 7 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 9 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9 [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] => 10 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 9 [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] => 7 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8 [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] => 6 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 6 [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] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 7 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 6 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 8 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 8 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 10 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 9 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 10 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 9 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 10 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 10 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 10 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 8 [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] => 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] => 9 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 10 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 7 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 9 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 10 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 9 [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] => 9 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 6 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 8 [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] => 7 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 6 [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] => 7 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 9 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 7 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 5 [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] => 7 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 6 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 5 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 5 [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] => 7 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 10 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 9 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 11 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 7 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 7 [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] => 6 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 9 [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] => 7 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 8 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 7 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 9 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 7 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 5 [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] => 7 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 5 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 5 [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] => 11 [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] => 7 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 9 [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] => 7 [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] => 7 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 8 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 5 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 5 [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] => 5 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 5 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 6 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 7 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 6 [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] => 9 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 10 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 9 [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] => 8 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 11 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 10 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 12 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 6 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 7 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 8 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 7 [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] => 5 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 5 [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] => 6 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 5 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 5 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 8 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 10 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 8 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 8 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 8 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 7 [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] => 6 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 10 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 9 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 8 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 8 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 9 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 8 [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] => 6 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 7 [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] => 5 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 5 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 8 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 7 [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] => 8 [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] => 5 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6 [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] => 5 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 7 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 5 [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] => 7 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 10 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 7 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 6 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 8 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 7 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 5 [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] => 7 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4 [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] => 5 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 6 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 9 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 12 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 6 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 6 [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] => 5 [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] => 8 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 9 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 6 [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] => 6 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5 [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] => 6 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 8 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 7 [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] => 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] => 9 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 6 [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] => 7 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5 [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] => 5 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 5 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 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] => 5 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4 [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] => 10 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6 [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] => 8 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 5 [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] => 6 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 5 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4 [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] => 4 [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] => 5 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 4 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 5 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [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] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 9 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 7 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 7 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 10 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 9 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 7 [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] => 9 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 9 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 7 [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] => 10 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 8 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 7 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 9 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 11 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 9 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 12 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 11 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 10 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 11 [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] => 8 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 10 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 10 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 11 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 8 [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] => 7 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 10 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 9 [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] => 7 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 9 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 12 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 11 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 13 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 8 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 11 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 10 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 10 [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] => 11 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 9 [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] => 9 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 7 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 10 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 9 [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] => 7 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 10 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 11 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 9 [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] => 9 [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] => 7 [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] => 11 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 9 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 9 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 9 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 8 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 9 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 8 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 10 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 10 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 11 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 11 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 10 [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] => 9 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 11 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 10 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 9 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 9 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 12 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 14 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 12 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 11 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 12 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 10 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 10 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 14 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 13 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 12 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 8 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 11 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 10 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 9 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 9 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 12 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 11 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 10 [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] => 8 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 10 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 9 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10 [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] => 9 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [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] => 9 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 8 [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] => 9 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 11 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 8 [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] => 7 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 10 [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] => 8 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 9 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 9 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 12 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 11 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 13 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 10 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 8 [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] => 11 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 10 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 9 [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] => 9 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 11 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 8 [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] => 7 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 10 [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] => 8 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 7 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 10 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 10 [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] => 11 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 10 [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] => 8 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 9 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 10 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 9 [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] => 7 [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] => 11 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 10 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 9 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 8 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 7 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 10 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 9 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 9 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 12 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 12 [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] => 11 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 15 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 14 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 13 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 15 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 9 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 10 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 8 [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] => 10 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 9 [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] => 8 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 11 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 10 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 11 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 10 [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] => 9 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 13 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 10 [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] => 9 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 9 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 11 [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] => 9 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 8 [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] => 11 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 9 [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] => 9 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 11 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 9 [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] => 7 [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] => 10 [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] => 8 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 7 [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] => 10 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 10 [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] => 11 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 10 [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] => 8 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 9 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 10 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 9 [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] => 7 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 7 [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] => 10 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 8 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 7 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 10 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 14 [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] => 16 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 11 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 10 [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] => 9 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 13 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 12 [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] => 13 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 12 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 10 [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] => 10 [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] => 8 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 12 [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] => 10 [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] => 10 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 10 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 11 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 9 [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] => 9 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 9 [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] => 7 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 8 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11 [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] => 11 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 10 [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] => 10 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 9 [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] => 11 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 9 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 8 [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] => 11 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 10 [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] => 8 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 12 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 10 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 9 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 7 [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] => 8 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 10 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 9 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 9 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8 [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] => 7 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 9 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 8 [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] => 7 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9 [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] => 7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 9 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 10 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 9 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 11 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 10 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 12 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 9 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 9 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 11 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 11 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 9 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 10 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 9 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 8 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 10 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 9 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 9 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 11 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10 [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] => 8 [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] => 11 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 13 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 15 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 12 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 11 [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] => 10 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 13 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 12 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 13 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 11 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 9 [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] => 12 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 11 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 10 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 9 [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] => 13 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 16 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 13 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 14 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 13 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 12 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 11 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 12 [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] => 10 [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] => 15 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 14 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 13 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 12 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 12 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 9 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 9 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 8 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 9 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 8 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 11 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 11 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 11 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 10 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 9 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 10 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 11 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 8 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 9 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 9 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 6 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 10 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 9 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 8 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 10 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 10 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 12 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 10 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 10 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 10 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 8 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 10 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 9 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 6 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 9 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 8 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 12 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 11 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 9 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 9 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 6 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 8 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 6 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 6 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 14 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 9 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 12 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 8 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 8 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 8 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 6 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 11 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 10 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 9 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 8 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 7 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 7 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 11 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 11 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 16 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 13 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 15 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 10 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 7 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 7 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 8 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 6 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 8 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 10 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 10 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 10 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 12 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 12 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 9 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 10 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 7 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 11 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 11 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 13 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 8 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 9 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 8 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 7 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 7 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 7 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 11 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 7 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 6 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 5 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 10 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 6 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 7 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 8 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 7 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 7 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 7 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 5 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 13 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 8 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 9 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 6 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 7 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 8 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 7 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 6 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 5 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 5 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 10 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 9 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 8 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 7 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 6 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 5 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 5 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 7 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 7 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 12 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 13 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 16 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 7 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 7 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 7 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 6 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 7 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 9 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 10 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 12 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 10 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 12 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 7 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 11 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 6 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 7 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 6 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 9 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 8 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 7 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 8 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 13 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 7 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 6 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 7 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 6 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 6 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 8 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 12 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 7 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 6 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 9 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 7 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 6 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 4 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 7 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 11 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 15 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 7 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 7 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 6 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 6 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 10 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 9 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 12 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 7 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 9 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 10 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 8 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 7 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 9 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 4 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 9 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 11 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 7 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 12 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 10 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 5 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 5 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 6 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 5 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 8 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 13 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 14 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 8 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 14 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 14 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 13 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 13 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 12 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 14 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 14 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 12 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 7 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 9 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 12 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 8 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 8 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 7 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 12 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 8 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 7 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 7 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 10 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 7 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 7 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 8 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 5 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 5 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 5 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 5 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 7 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 6 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 5 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 4 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 10 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 11 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 9 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 11 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 10 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 11 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 14 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 11 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 14 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 14 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 18 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 9 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 14 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 18 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 14 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 18 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 20 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 20 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 8 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 18 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 8 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 8 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 8 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 10 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 10 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 13 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 16 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 17 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 16 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 9 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 11 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 11 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 9 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 16 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 12 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 17 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 17 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 13 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 16 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 16 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 10 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 10 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 10 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 14 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 14 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 13 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 12 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 12 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 13 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 13 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 11 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 12 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 13 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 13 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 10 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 9 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 16 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 16 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 9 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 16 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 15 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 15 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 8 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 9 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 15 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 16 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 21 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 24 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 25 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 9 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 24 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 9 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 21 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 9 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 5 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 6 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 3 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 4 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 5 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 6 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 7 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 9 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 8 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 8 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 6 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 7 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 6 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 4 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 8 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 8 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 8 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 16 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 16 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 16 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 14 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 14 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 14 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 14 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 15 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 7 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 10 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 11 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 11 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 11 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 11 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 13 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 13 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 12 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 13 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 12 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 12 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 10 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 13 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 13 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 14 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 15 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 10 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 12 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 14 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 13 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 13 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 11 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 10 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 12 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 12 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 13 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 13 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 13 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 11 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 11 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 11 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 11 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 10 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 9 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 3 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 9 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 9 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 2 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 9 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 9 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 9 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 18 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 18 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => 11 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 11 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 12 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 13 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 13 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 13 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 13 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 15 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 15 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 14 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 14 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 13 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 14 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 16 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 17 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 15 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 18 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 14 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 16 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 17 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 16 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 17 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 15 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 15 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 15 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 15 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 16 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 15 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 15 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 16 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 17 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 17 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 16 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 15 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 15 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 16 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 15 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 15 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 12 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 13 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 14 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 14 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 14 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 15 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 17 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 17 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 17 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 16 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 16 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 18 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 17 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 18 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 14 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 15 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 18 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 18 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 20 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 12 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 13 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 15 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 15 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 16 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 16 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 20 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 15 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 18 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 15 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 18 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 13 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 15 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 12 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 14 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 18 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 17 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 18 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 16 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 17 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 17 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 17 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 15 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 14 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 14 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 14 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 13 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 12 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 15 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 15 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 16 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 15 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 15 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 16 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 17 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 17 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 16 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 15 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 15 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 16 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 15 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 15 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 15 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 15 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 17 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 16 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 17 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 16 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 18 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 14 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 15 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 17 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 16 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 16 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 14 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 13 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 14 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 14 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 15 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 14 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 14 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 14 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 15 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 15 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 13 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 13 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 13 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 13 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 12 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 11 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 10 [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 12 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 12 [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 13 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 13 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 14 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 14 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 15 ----------------------------------------------------------------------------- Created: Nov 10, 2016 at 11:59 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Apr 12, 2023 at 15:53 by Martin Rubey