***************************************************************************** * 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: St001786 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: The number of total orderings of the north steps of a Dyck path such that steps after the k-th east step are not among the first k positions in the order. Alternatively, remark that the monomials of the polynomial $\prod_{k=1}^n (z_1+\dots +z_k)$ are in bijection with Dyck paths, regarded as superdiagonal paths, with $n$ east steps: the exponent of $z_i$ is the number of north steps before the $i$-th east step, see [2]. Thus, this statistic records the coefficients of the monomials. A formula for the coefficient of $z_1^{a_1}\dots z_n^{a_n}$ is provided in [3]: $$ c_{(a_1,\dots,a_n)} = \prod_{k=1}^{n-1} \frac{n-k+1 - \sum_{i=k+1}^n a_i}{a_k!}. $$ This polynomial arises in a partial symmetrization process as follows, see [1]. For $w\in\frak{S}_n$, let $w\cdot F(x_1,\dots,x_n)=F(x_{w(1)},\dots,x_{w(n)})$. Furthermore, let $$G(\mathbf{x},\mathbf{z}) = \prod_{k=1}^n\frac{x_1z_1+x_2z_2+\cdots+x_kz_k}{x_k-x_{k+1}}.$$ Then $\sum_{w\in\frak{S}_{n+1}}w\cdot G = \prod_{k=1}^n (z_1+\dots +z_k)$. ----------------------------------------------------------------------------- References: [1] Amdeberhan, T. Counting monomials and the Catalan numbers [[MathOverflow:420887]] [2] The coefficients in the expansion x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n), given row by row. [[OEIS:A347917]] [3] Fried, S. On the coefficients of the distinct monomials in the expansion of $x_1(x_1+x_2)\cdots (x_1+x_2+\cdots +x_n)$ [[arXiv:2111.07331]] ----------------------------------------------------------------------------- Code: def statistic(D): n = D.semilength() a = [] i = 0 for e in D: if e == 0: a.append(i) i = 0 else: i += 1 return prod((n-k-sum(a[k+1:]))/factorial(a[k]) for k in range(len(a)-1)) ----------------------------------------------------------------------------- Statistic values: [1,0] => 1 [1,0,1,0] => 1 [1,1,0,0] => 1 [1,0,1,0,1,0] => 1 [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] => 1 [1,0,1,0,1,0,1,0] => 1 [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] => 1 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,0] => 4 [1,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,1,0,0,1,0] => 2 [1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,1,1,0,0,0] => 6 [1,1,0,1,1,0,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,0,0] => 6 [1,1,0,1,1,0,1,0,0,0] => 9 [1,1,0,1,1,1,0,0,0,0] => 4 [1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,0] => 4 [1,1,1,0,0,1,1,0,0,0] => 3 [1,1,1,0,1,0,0,0,1,0] => 3 [1,1,1,0,1,0,0,1,0,0] => 6 [1,1,1,0,1,0,1,0,0,0] => 9 [1,1,1,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,0] => 2 [1,1,1,1,0,0,1,0,0,0] => 3 [1,1,1,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 4 [1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,0,0] => 1 [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] => 2 [1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,1,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,0,1,1,0,0,0,1,0] => 3 [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] => 9 [1,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,0] => 3 [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] => 9 [1,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,0,0,0] => 1 [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] => 2 [1,1,0,1,0,0,1,1,0,0,1,0] => 2 [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] => 2 [1,1,0,1,0,1,0,0,1,0,1,0] => 4 [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] => 8 [1,1,0,1,0,1,0,1,0,1,0,0] => 16 [1,1,0,1,0,1,0,1,1,0,0,0] => 12 [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] => 12 [1,1,0,1,0,1,1,0,1,0,0,0] => 18 [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] => 3 [1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,0,1,0,0] => 12 [1,1,0,1,1,0,0,1,1,0,0,0] => 9 [1,1,0,1,1,0,1,0,0,0,1,0] => 9 [1,1,0,1,1,0,1,0,0,1,0,0] => 18 [1,1,0,1,1,0,1,0,1,0,0,0] => 27 [1,1,0,1,1,0,1,1,0,0,0,0] => 18 [1,1,0,1,1,1,0,0,0,0,1,0] => 4 [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] => 12 [1,1,0,1,1,1,0,1,0,0,0,0] => 16 [1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,1,1,0,0,1,0,1,1,0,0,0] => 6 [1,1,1,0,0,1,1,0,0,0,1,0] => 3 [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] => 9 [1,1,1,0,0,1,1,1,0,0,0,0] => 4 [1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,1,1,0,1,0,0,1,0,1,0,0] => 12 [1,1,1,0,1,0,0,1,1,0,0,0] => 9 [1,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,1,1,0,1,0,1,0,0,1,0,0] => 18 [1,1,1,0,1,0,1,0,1,0,0,0] => 27 [1,1,1,0,1,0,1,1,0,0,0,0] => 18 [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] => 12 [1,1,1,0,1,1,0,0,1,0,0,0] => 18 [1,1,1,0,1,1,0,1,0,0,0,0] => 24 [1,1,1,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,0] => 2 [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] => 3 [1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,1,1,1,0,1,0,0,1,0,0,0] => 12 [1,1,1,1,0,1,0,1,0,0,0,0] => 16 [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] => 1 [1,1,1,1,1,0,0,0,0,1,0,0] => 2 [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] => 4 [1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [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] => 2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [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] => 3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 9 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 9 [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] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2 [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] => 3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [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] => 2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2 [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] => 2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4 [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] => 8 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 12 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 12 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 18 [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] => 3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 12 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 18 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 27 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 18 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [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] => 12 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 16 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 9 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 12 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 18 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 27 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 18 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 12 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 18 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 24 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 6 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 6 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [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] => 12 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 16 [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] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2 [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] => 3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 8 [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] => 3 [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] => 9 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3 [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] => 9 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2 [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] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4 [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] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [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] => 8 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 24 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 12 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 24 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 36 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 16 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 6 [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] => 12 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 24 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 18 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 18 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 36 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 54 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 36 [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] => 16 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 24 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 32 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 10 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 6 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 6 [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] => 12 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 24 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 18 [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] => 18 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 27 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 9 [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] => 18 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 36 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 27 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 27 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 54 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 54 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 18 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 36 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 54 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 72 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 30 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4 [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] => 16 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 12 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 12 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 24 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 36 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 24 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 16 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 32 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 48 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 64 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 40 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 10 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 15 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 20 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 25 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 16 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 12 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 6 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 12 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 18 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 12 [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] => 9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 18 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 27 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 18 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 12 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 16 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3 [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] => 3 [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] => 6 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 12 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 24 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 18 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 9 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 18 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 27 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 12 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 9 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 9 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 18 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 36 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 27 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 27 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 54 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 54 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 18 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 36 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 54 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 72 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 30 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 6 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 6 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 12 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 24 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 18 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 18 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 36 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 54 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 36 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 24 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 48 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 72 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 96 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 60 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 10 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 20 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 30 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 40 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 50 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 15 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 8 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 3 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 6 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 9 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 3 [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] => 12 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 9 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 9 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 18 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 27 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 18 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 12 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 18 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 24 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 8 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 16 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 12 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 12 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 24 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 36 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 24 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 16 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 32 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 48 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 64 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 40 [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] => 20 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 30 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 40 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 50 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 20 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 9 [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] => 4 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 12 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 16 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 10 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 15 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 20 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 25 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [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] => 1 [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] => 1 [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] => 4 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1 [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] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 12 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 12 [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] => 18 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 18 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 6 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 12 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 24 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 16 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [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] => 1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [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] => 2 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 24 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 72 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 48 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 24 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 27 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 9 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 36 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 27 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 54 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 81 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 36 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 72 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 6 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 12 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 24 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 48 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 20 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 40 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 8 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 27 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 24 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 36 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 32 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 64 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 20 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 9 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 16 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 20 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 25 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 15 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 4 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [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] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 9 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 16 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 27 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 18 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 16 [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] => 1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [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] => 2 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 18 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 6 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 12 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 12 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 8 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 8 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 16 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 16 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 32 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 48 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 24 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 48 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 72 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 32 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 12 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 48 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 36 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 36 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 108 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 72 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 16 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 32 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 48 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 64 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 20 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 48 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 36 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 36 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 24 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 18 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 72 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 108 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 162 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 144 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 32 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 24 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 72 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 96 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 128 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 80 [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] => 20 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 30 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 50 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 12 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 6 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 6 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 48 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 36 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 36 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 24 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 18 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 36 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 27 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 24 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 36 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 48 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 15 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 18 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 72 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 27 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 81 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 162 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 243 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 162 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 72 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 288 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 150 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 45 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 32 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 24 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 24 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 16 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 12 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 108 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 72 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 48 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 144 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 192 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 256 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 120 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 200 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 80 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 20 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 15 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 45 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 50 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 75 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 100 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 125 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 75 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 12 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 18 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 24 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 30 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 36 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 9 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 6 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 16 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 24 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 24 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 16 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 24 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 18 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 16 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 10 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 24 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 18 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 18 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 12 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 16 [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] => 10 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 25 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 6 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 9 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 12 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 24 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 48 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 27 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 9 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 9 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 18 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 18 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 36 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 72 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 27 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 27 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 81 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 81 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 162 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 243 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 162 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 162 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 216 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 90 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 18 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 72 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 162 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 108 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 144 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 216 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 288 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 180 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 90 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 120 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 150 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 45 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 18 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 162 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 108 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 108 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 144 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 60 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 48 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 96 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 216 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 144 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 192 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 288 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 384 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 240 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 180 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 240 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 300 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 120 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 10 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 40 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 90 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 60 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 80 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 120 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 160 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 100 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 100 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 150 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 200 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 250 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 150 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 15 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 30 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 45 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 60 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 75 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 90 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 21 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 4 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 8 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 16 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 12 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 12 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 8 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 12 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 9 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 8 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 16 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 5 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 3 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 54 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 54 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 54 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 72 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 30 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 54 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 36 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 72 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 96 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 60 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 30 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 40 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 50 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 15 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 4 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 32 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 24 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 108 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 72 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 72 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 96 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 40 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 16 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 64 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 144 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 96 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 128 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 192 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 256 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 160 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 40 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 120 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 160 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 200 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 80 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 10 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 90 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 60 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 120 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 160 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 100 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 100 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 150 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 200 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 250 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 150 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 20 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 40 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 60 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 80 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 100 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 120 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 35 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 4 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 8 [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] => 6 [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] => 4 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 3 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 3 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 27 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 18 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 18 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 24 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 4 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 36 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 24 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 48 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 64 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 40 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 20 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 30 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 40 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 50 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 20 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 30 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 45 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 30 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 40 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 60 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 80 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 50 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 25 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 50 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 75 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 100 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 125 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 75 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 15 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 30 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 45 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 60 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 75 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 90 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 35 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 3 [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] => 9 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 4 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 8 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 12 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 16 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 10 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 5 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 15 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 20 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 25 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 15 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 12 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 18 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 24 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 30 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 36 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 21 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 3 [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] => 5 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 7 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 21 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 6 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 21 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 35 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 36 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 15 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 25 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 2 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 125 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 6 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 15 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 5 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 15 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 64 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 128 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 96 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 96 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 144 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 64 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 96 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 144 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 216 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 144 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 64 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 96 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 128 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 40 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 96 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 324 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 144 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 192 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 256 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 60 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 216 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 486 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 216 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 288 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 512 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 90 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 96 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 54 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 36 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 486 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 729 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 324 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 432 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1024 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 135 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 175 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 216 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 126 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 14 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 35 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 42 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 49 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 96 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 486 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 729 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 960 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 63 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 28 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 243 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 384 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 324 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 432 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 384 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1024 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 640 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 140 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 56 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 192 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 256 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 375 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 315 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 70 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 175 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 245 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 70 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 125 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 90 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 90 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 72 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 126 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 42 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 126 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 147 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 56 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 10 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 12 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 30 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 36 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 14 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 49 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 28 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 5 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 6 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 7 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [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] => 16 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 24 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 36 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 72 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 24 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 72 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 48 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 162 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 40 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 144 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 8 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 243 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 80 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 256 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4 [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] => 16 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 32 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 64 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 12 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 24 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 48 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 243 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 81 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 27 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 9 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 81 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 243 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 3 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 4 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2 [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] => 2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 81 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 32 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 48 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 32 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 16 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 32 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 64 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 15 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 10 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 4 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 3 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 27 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 18 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 12 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 36 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 18 [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] => 4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 16 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 10 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 8 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 28 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 7 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 49 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 216 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 7 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 16 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 32 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 128 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 256 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 128 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 432 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 729 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 1458 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1024 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 16 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 32 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 64 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 128 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 1875 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 625 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2560 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 1024 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 192 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 36 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 8 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 196 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 49 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 16 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 84 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 126 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 126 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 84 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 36 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2187 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 432 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 288 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 192 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 625 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 128 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 256 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 512 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1024 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 2048 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4096 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4096 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 3 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 4 [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] => 6 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 7 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 648 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 98 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 343 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 9 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 27 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 81 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 54 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 18 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 288 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 432 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 972 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 1458 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2187 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 192 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 288 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 432 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 648 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 972 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 729 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 900 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 600 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 384 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 600 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 300 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 216 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 144 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 216 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 108 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 600 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 400 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 192 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 300 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 120 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 144 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 96 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 54 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 96 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 48 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 81 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 54 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 54 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 36 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 144 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 96 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 54 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 96 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 48 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 900 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 600 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 384 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 600 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 300 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 216 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 144 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 216 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 108 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 600 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 400 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 192 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 300 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 120 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 729 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 224 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 64 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 14 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 56 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 56 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 196 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 6 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 6 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 512 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 9375 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 3125 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 45 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 9 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 2 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 18 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 81 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 384 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 576 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 864 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1296 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1944 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2916 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4374 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 6561 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 6561 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 10 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 16200 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 10800 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 7500 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 10800 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 5400 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 4800 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 3200 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 4800 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 2400 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 10800 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 7200 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 3750 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 5400 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 2160 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 2700 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 1800 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 1152 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 1800 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 900 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 1728 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 1152 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 864 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 576 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 2700 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 1800 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 864 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 1350 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 540 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 10800 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 7200 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 5000 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 7200 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 3600 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 2400 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 1600 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 2400 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 960 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 5400 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 3600 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 1500 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 2160 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 720 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 1800 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 1200 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 768 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 1200 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 600 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 432 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 288 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 432 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 216 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 1200 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 800 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 384 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 600 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 240 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 648 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 432 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 243 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 432 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 216 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 432 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 288 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 162 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 288 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 144 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 648 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 432 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 432 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 288 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 243 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 162 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 432 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 288 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 216 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 144 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 1800 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 1200 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 768 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 1200 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 600 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 432 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 288 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 432 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 216 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 1200 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 800 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 384 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 600 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 240 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 16200 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 10800 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 7500 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 10800 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 5400 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 4800 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 3200 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 4800 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 2400 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 10800 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 7200 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 3750 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 5400 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 2160 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 2700 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 1800 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 1152 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 1800 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 900 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1728 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1152 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 864 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 576 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 2700 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 1800 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 864 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 1350 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 540 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 10800 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 7200 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5000 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 7200 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 3600 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 2400 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 1600 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 2400 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 960 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 5400 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 3600 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 1500 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 2160 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 720 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 2 [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 11 ----------------------------------------------------------------------------- Created: Apr 25, 2022 at 10:03 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Apr 26, 2022 at 17:11 by Martin Rubey