************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 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. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00140 ------------------------------------------------------------------------ Map name: logarithmic height to pruning number ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Binary trees ------------------------------------------------------------------------ Description: Francon's map from Dyck paths to binary trees. This bijection sends the logarithmic height of the Dyck path, [[St000920]], to the pruning number of the binary tree, [[St000396]]. The implementation is a literal translation of Knuth's [2]. ------------------------------------------------------------------------ References: [1] Françon, J. Sur le nombre de registres nécessaires à l'évaluation d'une expression arithmétique [[MathSciNet:0775838]] [2] [[http://www-cs-faculty.stanford.edu/~knuth/programs/francon.w]] ------------------------------------------------------------------------ Code: def mapping(D): def LR_to_binary_tree(links, root=0): if links[root][0] != 0: left = LR_to_binary_tree(links, root=links[root][0]) else: left = None if links[root][1] != 0: right = LR_to_binary_tree(links, root=links[root][1]) else: right = None return BinaryTree([left, right]) n = D.semilength() d = list(D) + [0] l = [0]*(n) r = [0]*(n) h = [0]*(2*n+3) q = [0]*(n+1) qm = [0]*(n+1) h[1] = m = 1; k = 2; p = 0 while True: while h[k] != 0: k = k + 2 kk = h[k//2] p += 1 if d[p] == 1: l[kk-1] = m; m += 1; h[k] = m; else: l[kk-1] = 0 p += 1 if d[p] == 1: r[kk-1] = m; m += 1; h[k+1] = m; else: r[kk-1] = 0 if h[k] != 0: if h[k+1] != 0: continue else: kk = k elif h[k+1] != 0: kk = k+1 else: h[k//2] = 0; kk = (k//2) ^^ 1; k = kk & -2 if k == 0: return LR_to_binary_tree(list(zip(l, r))) j = 0; jj = 1; q[0] = kk; qm[0] = 1 while j < jj: kk = q[j] h[((kk//2)&(-qm[j]))+(kk&(qm[j]-1))] = h[kk] if h[2*kk] != 0: q[jj] = 2*kk q[jj+1] = 2*kk+1 qm[jj] = qm[jj+1] = qm[j]*2 jj = jj + 2 else: h[kk] = 0 j += 1 ------------------------------------------------------------------------ Map images: [1,0] => [.,.] [1,0,1,0] => [.,[.,.]] [1,1,0,0] => [[.,.],.] [1,0,1,0,1,0] => [.,[.,[.,.]]] [1,0,1,1,0,0] => [.,[[.,.],.]] [1,1,0,0,1,0] => [[.,[.,.]],.] [1,1,0,1,0,0] => [[[.,.],.],.] [1,1,1,0,0,0] => [[.,.],[.,.]] [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] [1,0,1,1,0,0,1,0] => [.,[[.,[.,.]],.]] [1,0,1,1,0,1,0,0] => [.,[[[.,.],.],.]] [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] [1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],.] [1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],.] [1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],.] [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,[.,.]],.]]] [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],.]]] [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] [1,0,1,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],.]] [1,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],.]] [1,0,1,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],.]] [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] [1,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],.] [1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],.] [1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] [1,1,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] [1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[[.,[.,.]],.]]]] [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[[.,.],.],.]]]] [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,[.,[.,.]]],.]]] [1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,[[.,.],.]],.]]] [1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[[[.,[.,.]],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[[[.,.],.],.],.]]] [1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[[[.,.],[.,.]],.]]] [1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[.,.],.],[.,.]]]] [1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,[.,[.,.]]]],.]] [1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]] [1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],.]] [1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,[[[.,.],.],.]],.]] [1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],.]] [1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],.],.]] [1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[[.,[[.,.],.]],.],.]] [1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[[[.,[.,.]],.],.],.]] [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],.],.]] [1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]] [1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],.]] [1,0,1,1,0,1,1,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],.]] [1,0,1,1,0,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],.]] [1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],.]] [1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]] [1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,.]],.]]] [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[.,.],[[[.,.],.],.]]] [1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[.,[.,.]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,.]]] [1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]] [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[.,.],.],[[.,.],.]]] [1,0,1,1,1,1,0,0,1,0,0,0] => [.,[[[.,[.,.]],.],[.,.]]] [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,.],.],.],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,.]]] [1,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] [1,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],.] [1,1,0,0,1,0,1,1,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,0] => [[.,[.,[[[.,.],.],.]]],.] [1,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,[[.,.],[.,.]]]],.] [1,1,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],.] [1,1,0,0,1,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[[[.,.],.],.],.]],.] [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.] [1,1,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],.] [1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],.]]],.] [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],[.,.]]],.] [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[[.,.],.],[.,.]]],.] [1,1,0,1,0,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],.] [1,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] [1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,[[[.,.],.],.]],.],.] [1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,[[.,.],[.,.]]],.],.] [1,1,0,1,0,1,0,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] [1,1,0,1,0,1,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],.] [1,1,0,1,0,1,0,1,0,0,1,0] => [[[[[.,[.,.]],.],.],.],.] [1,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],.] [1,1,0,1,0,1,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],.] [1,1,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],.],.] [1,1,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],.]],.],.] [1,1,0,1,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],.] [1,1,0,1,0,1,1,1,0,0,0,0] => [[[[[.,.],.],[.,.]],.],.] [1,1,0,1,1,0,0,0,1,0,1,0] => [[[.,.],[.,[.,[.,.]]]],.] [1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],.] [1,1,0,1,1,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],.] [1,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],.] [1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],.] [1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],.] [1,1,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],.] [1,1,0,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],[.,.]],.] [1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,.]],.] [1,1,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],.] [1,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[.,.],.]],.] [1,1,0,1,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],.] [1,1,0,1,1,1,0,1,0,0,0,0] => [[[[[.,.],.],.],[.,.]],.] [1,1,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,.]],.] [1,1,1,0,0,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,0,1,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],.]]]] [1,1,1,0,0,0,1,1,0,0,1,0] => [[.,.],[.,[[.,[.,.]],.]]] [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,.],[.,[[[.,.],.],.]]] [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] [1,1,1,0,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,[.,.]]],.]] [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,.],[[.,[[.,.],.]],.]] [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,.],[[[.,[.,.]],.],.]] [1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] [1,1,1,0,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],[.,.]],.]] [1,1,1,0,0,1,1,0,0,0,1,0] => [[.,.],[[.,.],[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],.]]] [1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] [1,1,1,0,1,0,0,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],.]] [1,1,1,0,1,0,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] [1,1,1,0,1,0,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] [1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] [1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,.]] [1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],.]],[.,[.,.]]] [1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] [1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,.]] [1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],.],.]],[.,.]] [1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,.]] [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],.]]] [1,1,1,1,0,0,0,1,0,0,1,0] => [[[.,.],.],[[.,[.,.]],.]] [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[.,[.,.]]] [1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] [1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,[.,.]]] [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] [1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,.]] [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[[.,[[.,.],.]],.]]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[.,.],.],[.,.]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[[.,[.,[[.,.],.]]],.]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[[.,[[.,[.,.]],.]],.]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[[.,[[[.,.],.],.]],.]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[[.,[[.,.],[.,.]]],.]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[[[[.,.],[.,.]],.],.]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[[.,.],.]],.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[[.,.],[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[.,.],[[[.,.],.],.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[.,[[.,.],.]],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [.,[.,[[[.,.],.],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[.,.],.],[[.,.],.]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],[.,.]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],[.,.]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[[.,.],[.,.]],[.,.]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],.]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[[.,[.,[[.,[.,.]],.]]],.]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[[.,[.,[[[.,.],.],.]]],.]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],.]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[[.,[[.,[.,[.,.]]],.]],.]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,[[.,.],.]],.]],.]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[[.,[[[.,[.,.]],.],.]],.]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[[.,[[[[.,.],.],.],.]],.]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[[.,[[[.,.],[.,.]],.]],.]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[[.,[[.,.],[.,[.,.]]]],.]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],.]]],.]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],.]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[[.,[[[.,.],.],[.,.]]],.]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[[[.,[[.,[.,.]],.]],.],.]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],.]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[[[[.,[[.,.],.]],.],.],.]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[[[[[.,[.,.]],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[[[[[.,.],.],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[[[[.,.],[.,[.,.]]],.],.]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[[[[.,.],[[.,.],.]],.],.]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],.],.]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[[[[[.,.],.],[.,.]],.],.]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[[[.,.],[.,[[.,.],.]]],.]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[[[.,.],[[.,[.,.]],.]],.]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[[[.,.],.],.]],.]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],[.,.]]],.]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],.]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],.]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[[[[[.,.],.],.],[.,.]],.]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[[[[.,.],[.,.]],[.,.]],.]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[[.,.],[.,[[[.,.],.],.]]]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[[.,.],[[.,[.,[.,.]]],.]]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[[.,.],[[.,[[.,.],.]],.]]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[[.,.],[[[.,[.,.]],.],.]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[.,.],[[[[.,.],.],.],.]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[[.,.],[[[.,.],[.,.]],.]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[.,[.,.]],[[[.,.],.],.]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[[.,[.,[[.,.],.]]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[[.,.],.]],[[.,.],.]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[[.,[.,.]],.]],[.,.]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[[[.,.],.],.]],[.,.]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,.]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[[[.,.],.],[.,[[.,.],.]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[[[.,.],.],[[.,[.,.]],.]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[.,.],.],[[[.,.],.],.]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[[[.,.],.],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],.],[[.,.],.]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],[.,.]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],[.,.]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[[[[.,.],.],.],[.,[.,.]]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,.],.],.],[[.,.],.]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],.],.],[.,.]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[[.,.],.],.],.],[.,.]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [.,[[[[.,.],[.,.]],.],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,.]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[.,[.,[.,[[.,.],[.,.]]]]],.] [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[.,[.,[[[[.,.],.],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[.,[.,[[[.,.],[.,.]],.]]],.] [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[.,[.,[[.,.],[.,[.,.]]]]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[.,[.,[[.,.],[[.,.],.]]]],.] [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[.,[.,[[.,[.,.]],[.,.]]]],.] [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,[[[.,.],.],[.,.]]]],.] [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[.,[[.,[[[.,.],.],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[.,[[.,[[.,.],[.,.]]],.]],.] [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[[.,.],.]],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[[[[[.,.],.],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[[[[.,.],[.,.]],.],.]],.] [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[.,[[[.,.],[[.,.],.]],.]],.] [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[[[[.,.],.],[.,.]],.]],.] [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[.,[[.,.],[.,[.,[.,.]]]]],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[.,[[.,.],.]]]],.] [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[.,[[.,.],[[.,[.,.]],.]]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[.,[[.,.],[[[.,.],.],.]]],.] [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[.,[[.,.],[[.,.],[.,.]]]],.] [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],[.,[.,.]]]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],[[.,.],.]]],.] [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,.]]],[.,.]]],.] [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],.]],[.,.]]],.] [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[.,[[[.,.],.],[.,[.,.]]]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[.,[[[.,.],.],[[.,.],.]]],.] [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[.,[[[.,[.,.]],.],[.,.]]],.] [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[[[[.,.],.],.],[.,.]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[[[.,.],[.,.]],[.,.]]],.] [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[[[.,.],.],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[[.,.],[.,.]]]],.],.] [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[[.,[[.,.],.]],.]],.],.] [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],.] [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[[.,[[[[.,.],.],.],.]],.],.] [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[[.,[[[.,.],[.,.]],.]],.],.] [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[[.,[[.,.],[.,[.,.]]]],.],.] [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[[.,[[.,.],[[.,.],.]]],.],.] [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[[.,[[.,[.,.]],[.,.]]],.],.] [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[[.,[[[.,.],.],[.,.]]],.],.] [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[[.,[.,[[.,.],.]]],.],.],.] [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],.] [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[[[.,[[[.,.],.],.]],.],.],.] [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[[[.,[[.,.],[.,.]]],.],.],.] [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],.] [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[[[[.,[[.,.],.]],.],.],.],.] [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[[.,.],.],.],.],.],.],.] [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[[[[[.,.],[.,.]],.],.],.],.] [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[[[[.,.],[.,[.,.]]],.],.],.] [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[[[[.,.],[[.,.],.]],.],.],.] [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[[[[.,[.,.]],[.,.]],.],.],.] [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[[[[[.,.],.],[.,.]],.],.],.] [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[[[.,.],[.,[.,[.,.]]]],.],.] [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[[[.,.],[.,[[.,.],.]]],.],.] [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[[[.,.],[[.,[.,.]],.]],.],.] [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[[[.,.],[[[.,.],.],.]],.],.] [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[[[.,.],[[.,.],[.,.]]],.],.] [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[[[.,[.,.]],[.,[.,.]]],.],.] [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[[[.,[.,.]],[[.,.],.]],.],.] [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[[[.,[.,[.,.]]],[.,.]],.],.] [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],[.,.]],.],.] [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[[[[.,.],.],[.,[.,.]]],.],.] [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[[[[.,.],.],[[.,.],.]],.],.] [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[[[[.,[.,.]],.],[.,.]],.],.] [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[[[[[.,.],.],.],[.,.]],.],.] [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[[[[.,.],[.,.]],[.,.]],.],.] [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[[.,.],[.,[.,[[.,.],.]]]],.] [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[[.,.],[.,[[.,[.,.]],.]]],.] [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[[.,.],[.,[[[.,.],.],.]]],.] [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[[.,.],[.,[[.,.],[.,.]]]],.] [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[[.,.],[[.,[.,[.,.]]],.]],.] [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[[.,.],[[.,[[.,.],.]],.]],.] [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,[.,.]],.],.]],.] [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[[[[.,.],.],.],.]],.] [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[[.,.],[[[.,.],[.,.]],.]],.] [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[[.,.],[[.,.],[.,[.,.]]]],.] [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],[[.,.],.]]],.] [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[[.,.],[[.,[.,.]],[.,.]]],.] [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[[.,.],[[[.,.],.],[.,.]]],.] [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],[.,[[.,.],.]]],.] [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],[[.,[.,.]],.]],.] [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[[[.,.],.],.]],.] [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[[.,[.,.]],[[.,.],[.,.]]],.] [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[[.,.],.]],.] [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],[.,.]],.] [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[[.,.],.]],.] [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[[.,[[.,[.,.]],.]],[.,.]],.] [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[[.,[[.,.],[.,.]]],[.,.]],.] [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],[.,[[.,.],.]]],.] [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],[[.,[.,.]],.]],.] [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[[[.,.],.],.]],.] [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[[[.,.],.],[[.,.],[.,.]]],.] [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],.],[[.,.],.]],.] [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],.],[.,.]],.] [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[[[[.,.],.],.],[.,[.,.]]],.] [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[[[[.,.],.],.],[[.,.],.]],.] [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],.],.],[.,.]],.] [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[[[[[.,.],.],.],.],[.,.]],.] [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],[.,.]],.] [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[[[.,.],[[.,.],.]],[.,.]],.] [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],[.,.]],.] [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[[[[.,.],.],[.,.]],[.,.]],.] [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,[.,.]]],.] [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[[[.,.],[.,.]],[[.,.],.]],.] [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[.,.],[.,[.,[[.,[.,.]],.]]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[.,.],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[.,.],[.,[[.,[[.,.],.]],.]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[.,.],[.,[[[.,[.,.]],.],.]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,.],[.,[[[.,.],[.,.]],.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[.,.],[[.,[.,[.,[.,.]]]],.]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[.,.],[[.,[.,[[.,.],.]]],.]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[.,.],[[.,[[.,[.,.]],.]],.]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,.],[[.,[[[.,.],.],.]],.]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,.],[[.,[[.,.],[.,.]]],.]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[.,.],[[[.,[.,[.,.]]],.],.]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,.],[[[.,[[.,.],.]],.],.]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,.],[[[[.,[.,.]],.],.],.]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],[.,.]],.],.]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[.,.],[[[.,.],[.,[.,.]]],.]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[[.,.],.]],.]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,[.,.]],[.,.]],.]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[[.,.],.],[.,.]],.]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,[[.,.],.]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[.,.],[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[[[.,.],.],.],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[[.,.],[.,.]],[.,.]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[.,.]],[[.,[[.,.],.]],.]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[.,.]],[[[.,[.,.]],.],.]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],[.,.]],.]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[.,[.,[[.,.],[.,.]]]],[.,.]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,.],.]],[[.,[.,.]],.]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[.,[[[[.,.],.],.],.]],[.,.]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[.,[[[.,.],[.,.]],.]],[.,.]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],[.,.]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[.,[[.,.],[[.,.],.]]],[.,.]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[.,[[.,[.,.]],[.,.]]],[.,.]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[.,[[[.,.],.],[.,.]]],[.,.]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,[.,.]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[[.,.],.]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[[.,.],.],[.,[[.,[.,.]],.]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,.],.],[[.,[.,[.,.]]],.]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[[.,.],.],[[.,[[.,.],.]],.]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[[.,.],.],[[[.,[.,.]],.],.]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],[.,.]],.]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,[.,.]],[.,.]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[[.,.],.],[[[.,.],.],[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[[.,[.,.]],.],[[.,[.,.]],.]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[[.,[[[.,.],.],.]],.],[.,.]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[[.,[[.,.],[.,.]]],.],[.,.]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[[[.,.],.],.],[[.,[.,.]],.]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,.],[.,.]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[[[.,[[.,.],.]],.],.],[.,.]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[[[[.,.],.],.],.],[.,[.,.]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[[[[.,[.,.]],.],.],.],[.,.]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[[[.,.],.],.],.],.],[.,.]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[[[[.,.],[.,.]],.],.],[.,.]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],.],[.,.]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[[[.,.],[[.,.],.]],.],[.,.]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],[.,.]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[[[[.,.],.],[.,.]],.],[.,.]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,[.,.]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[[[.,.],[.,.]],.],[[.,.],.]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,.],[.,[.,[.,.]]]],[.,.]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],[.,.]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[[.,.],[[.,[.,.]],.]],[.,.]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],[.,.]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],[.,.]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],[.,.]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],[.,.]],[.,.]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,.]],[.,.]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],[.,.]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[.,.],.],[[.,.],.]],[.,.]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],[.,.]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],[.,.]],[.,.]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,.]],[.,.]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,[.,.]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,[.,.]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,[.,.]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,[.,.]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[.,[[.,.],.]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[[.,.],.]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[[.,.],.]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[[.,.],.]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[[.,.],.]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[[.,[.,.]],.]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[[.,.],.],.]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [.,[.,[[.,[[[.,.],[.,.]],.]],.]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [.,[.,[[[.,[[.,[.,.]],.]],.],.]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [.,[.,[[[[.,[[.,.],.]],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] 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[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,[[[[.,.],[.,.]],.],.]]],.] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,[[[.,[.,.]],[.,.]],.]]],.] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],[.,[[.,.],.]]]]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[.,[.,[[.,.],[[[.,.],.],.]]]],.] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[.,[.,[[[.,.],.],[[.,.],.]]]],.] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[.,[.,[[[.,[.,.]],.],[.,.]]]],.] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[.,[[.,[.,[[.,.],[.,.]]]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,[[[.,.],[.,.]],.]],.]],.] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,[[.,.],[.,.]]],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[[[[[[.,.],.],.],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[.,[[[[.,.],[[.,.],.]],.],.]],.] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[[.,.],[.,[[.,.],.]]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[.,[[[.,.],[[[.,.],.],.]],.]],.] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],.],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[.,[[.,.],[.,[[.,[.,.]],.]]]],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[.,[[.,.],[[.,[.,[.,.]]],.]]],.] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[.,[[.,.],[[[.,.],[.,.]],.]]],.] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],[.,[.,.]]]]],.] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[.,[[[[.,[.,.]],.],.],[.,.]]],.] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[.,[[[[.,.],.],[.,.]],[.,.]]],.] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,[[[.,.],[.,.]],[.,[.,.]]]],.] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,[[[.,.],[.,.]],[[.,.],.]]],.] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[[.,[.,[[.,[[.,.],.]],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[[.,[.,[[[.,[.,.]],.],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[.,[[[[.,.],.],.],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[.,[[[.,.],[.,.]],.]]],.],.] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[[.,[.,[[.,.],[[.,.],.]]]],.],.] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.] ----------------------------------------------------------------------------- Created: Jan 31, 2020 at 19:19 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 31, 2020 at 19:19 by Martin Rubey