************************************************************************ * 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: Mp00139 ------------------------------------------------------------------------ Map name: Zeilberger's Strahler bijection ------------------------------------------------------------------------ Domain: Ordered trees ------------------------------------------------------------------------ Codomain: Binary trees ------------------------------------------------------------------------ Description: Zeilberger's Strahler bijection between ordered and binary trees. This is a bijection sending the pruning number of the ordered tree to the Strahler number of the binary tree. ------------------------------------------------------------------------ References: [1] Zeilberger, D. A bijection from ordered trees to binary trees that sends the pruning order to the Strahler number [[MathSciNet:1058712]] ------------------------------------------------------------------------ Code: def mapping(t): """ sage: mapping([]) . sage: mapping([[]]) [., .] sage: [mapping(t) for t in OrderedTrees(3)] [[., [., .]], [[., .], .]] """ def prune(t): def is_branch(b): n = len(b) return n == 0 or (n == 1 and is_branch(b[0])) if len(t) == 0: return [] else: return [prune(b) for b in t if not is_branch(b) ] def pruning_order(t): o = 0 while len(t) > 0: t = prune(t) o += 1 return o def below(t): t1 = t[0] t2 = t[1:] k = pruning_order(t) k1 = pruning_order(t1) k2 = pruning_order(t2) if (k1 <= k-1 and k2 == k) or (k1 == k-1 and k2 == k-1): return (t1, t2) elif k1 == k-1 and k2 <= k-2: i = 0 while pruning_order(t1[:i+1]) <= k-2: i += 1 f1 = t1[:i] s1 = t1[i] j = i+1 while pruning_order(t1[i+1:j+1]) <= k-2: j += 1 f2 = t1[i+1:j] return (f1+[s1]+f2, t2+t1[j:]) elif k1 == k: i = 0 while pruning_order(t1[:i+1]) <= k-1: i += 1 f1 = t1[:i] s1 = t1[i] f2 = t1[i+1:] return (f1+[s1]+t2, f2) if len(t) == 0: return BinaryTree() else: u1, u2 = below(t) return BinaryTree([mapping(u1), mapping(u2)]) ------------------------------------------------------------------------ Map images: [] => . [[]] => [.,.] [[],[]] => [.,[.,.]] [[[]]] => [[.,.],.] [[],[],[]] => [.,[.,[.,.]]] [[],[[]]] => [.,[[.,.],.]] [[[]],[]] => [[.,[.,.]],.] [[[],[]]] => [[.,.],[.,.]] [[[[]]]] => [[[.,.],.],.] [[],[],[],[]] => [.,[.,[.,[.,.]]]] [[],[],[[]]] => [.,[.,[[.,.],.]]] [[],[[]],[]] => [.,[[.,[.,.]],.]] [[],[[],[]]] => [.,[[.,.],[.,.]]] [[],[[[]]]] => [.,[[[.,.],.],.]] [[[]],[],[]] => [[.,[.,[.,.]]],.] [[[]],[[]]] => [[.,[[.,.],.]],.] [[[],[]],[]] => [[.,[.,.]],[.,.]] [[[[]]],[]] => [[[.,[.,.]],.],.] [[[],[],[]]] => [[.,.],[.,[.,.]]] [[[],[[]]]] => [[.,.],[[.,.],.]] [[[[]],[]]] => [[[.,.],.],[.,.]] [[[[],[]]]] => [[[.,.],[.,.]],.] [[[[[]]]]] => [[[[.,.],.],.],.] [[],[],[],[],[]] => [.,[.,[.,[.,[.,.]]]]] [[],[],[],[[]]] => [.,[.,[.,[[.,.],.]]]] [[],[],[[]],[]] => [.,[.,[[.,[.,.]],.]]] [[],[],[[],[]]] => [.,[.,[[.,.],[.,.]]]] [[],[],[[[]]]] => [.,[.,[[[.,.],.],.]]] [[],[[]],[],[]] => [.,[[.,[.,[.,.]]],.]] [[],[[]],[[]]] => [.,[[.,[[.,.],.]],.]] [[],[[],[]],[]] => [.,[[.,[.,.]],[.,.]]] [[],[[[]]],[]] => [.,[[[.,[.,.]],.],.]] [[],[[],[],[]]] => [.,[[.,.],[.,[.,.]]]] [[],[[],[[]]]] => [.,[[.,.],[[.,.],.]]] [[],[[[]],[]]] => [.,[[[.,.],.],[.,.]]] [[],[[[],[]]]] => [.,[[[.,.],[.,.]],.]] [[],[[[[]]]]] => [.,[[[[.,.],.],.],.]] [[[]],[],[],[]] => [[.,[.,[.,[.,.]]]],.] [[[]],[],[[]]] => [[.,[.,[[.,.],.]]],.] [[[]],[[]],[]] => [[.,[[.,[.,.]],.]],.] [[[]],[[],[]]] => [[.,.],[[.,.],[.,.]]] [[[]],[[[]]]] => [[.,[[[.,.],.],.]],.] [[[],[]],[],[]] => [[.,[.,.]],[.,[.,.]]] [[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] [[[],[]],[[]]] => [[.,[.,.]],[[.,.],.]] [[[[]]],[[]]] => [[[.,[[.,.],.]],.],.] [[[],[],[]],[]] => [[.,[.,[.,.]]],[.,.]] [[[],[[]]],[]] => [[.,[[.,.],.]],[.,.]] [[[[]],[]],[]] => [[[.,[.,.]],.],[.,.]] [[[[],[]]],[]] => [[[.,[.,.]],[.,.]],.] [[[[[]]]],[]] => [[[[.,[.,.]],.],.],.] [[[],[],[],[]]] => [[.,.],[.,[.,[.,.]]]] [[[],[],[[]]]] => [[.,.],[.,[[.,.],.]]] [[[],[[]],[]]] => [[.,.],[[.,[.,.]],.]] [[[],[[],[]]]] => [[.,[[.,.],[.,.]]],.] [[[],[[[]]]]] => [[.,.],[[[.,.],.],.]] [[[[]],[],[]]] => [[[.,.],.],[.,[.,.]]] [[[[]],[[]]]] => [[[.,.],.],[[.,.],.]] [[[[],[]],[]]] => [[[.,.],[.,.]],[.,.]] [[[[[]]],[]]] => [[[[.,.],.],.],[.,.]] [[[[],[],[]]]] => [[[.,.],[.,[.,.]]],.] [[[[],[[]]]]] => [[[.,.],[[.,.],.]],.] [[[[[]],[]]]] => [[[[.,.],.],[.,.]],.] [[[[[],[]]]]] => [[[[.,.],[.,.]],.],.] [[[[[[]]]]]] => [[[[[.,.],.],.],.],.] [[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,.]]]]]] [[],[],[],[],[[]]] => [.,[.,[.,[.,[[.,.],.]]]]] [[],[],[],[[]],[]] => [.,[.,[.,[[.,[.,.]],.]]]] [[],[],[],[[],[]]] => [.,[.,[.,[[.,.],[.,.]]]]] [[],[],[],[[[]]]] => [.,[.,[.,[[[.,.],.],.]]]] [[],[],[[]],[],[]] => [.,[.,[[.,[.,[.,.]]],.]]] [[],[],[[]],[[]]] => [.,[.,[[.,[[.,.],.]],.]]] [[],[],[[],[]],[]] => [.,[.,[[.,[.,.]],[.,.]]]] [[],[],[[[]]],[]] => [.,[.,[[[.,[.,.]],.],.]]] [[],[],[[],[],[]]] => [.,[.,[[.,.],[.,[.,.]]]]] [[],[],[[],[[]]]] => [.,[.,[[.,.],[[.,.],.]]]] [[],[],[[[]],[]]] => [.,[.,[[[.,.],.],[.,.]]]] [[],[],[[[],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] [[],[],[[[[]]]]] => [.,[.,[[[[.,.],.],.],.]]] [[],[[]],[],[],[]] => [.,[[.,[.,[.,[.,.]]]],.]] [[],[[]],[],[[]]] => [.,[[.,[.,[[.,.],.]]],.]] [[],[[]],[[]],[]] => [.,[[.,[[.,[.,.]],.]],.]] [[],[[]],[[],[]]] => [.,[[.,.],[[.,.],[.,.]]]] [[],[[]],[[[]]]] => [.,[[.,[[[.,.],.],.]],.]] [[],[[],[]],[],[]] => [.,[[.,[.,.]],[.,[.,.]]]] [[],[[[]]],[],[]] => [.,[[[.,[.,[.,.]]],.],.]] [[],[[],[]],[[]]] => [.,[[.,[.,.]],[[.,.],.]]] [[],[[[]]],[[]]] => [.,[[[.,[[.,.],.]],.],.]] [[],[[],[],[]],[]] => [.,[[.,[.,[.,.]]],[.,.]]] [[],[[],[[]]],[]] => [.,[[.,[[.,.],.]],[.,.]]] [[],[[[]],[]],[]] => [.,[[[.,[.,.]],.],[.,.]]] [[],[[[],[]]],[]] => [.,[[[.,[.,.]],[.,.]],.]] [[],[[[[]]]],[]] => [.,[[[[.,[.,.]],.],.],.]] [[],[[],[],[],[]]] => [.,[[.,.],[.,[.,[.,.]]]]] [[],[[],[],[[]]]] => [.,[[.,.],[.,[[.,.],.]]]] [[],[[],[[]],[]]] => [.,[[.,.],[[.,[.,.]],.]]] [[],[[],[[],[]]]] => [.,[[.,[[.,.],[.,.]]],.]] [[],[[],[[[]]]]] => [.,[[.,.],[[[.,.],.],.]]] [[],[[[]],[],[]]] => [.,[[[.,.],.],[.,[.,.]]]] [[],[[[]],[[]]]] => [.,[[[.,.],.],[[.,.],.]]] [[],[[[],[]],[]]] => [.,[[[.,.],[.,.]],[.,.]]] [[],[[[[]]],[]]] => [.,[[[[.,.],.],.],[.,.]]] [[],[[[],[],[]]]] => [.,[[[.,.],[.,[.,.]]],.]] [[],[[[],[[]]]]] => [.,[[[.,.],[[.,.],.]],.]] [[],[[[[]],[]]]] => [.,[[[[.,.],.],[.,.]],.]] [[],[[[[],[]]]]] => [.,[[[[.,.],[.,.]],.],.]] [[],[[[[[]]]]]] => [.,[[[[[.,.],.],.],.],.]] [[[]],[],[],[],[]] => [[.,[.,[.,[.,[.,.]]]]],.] [[[]],[],[],[[]]] => [[.,[.,[.,[[.,.],.]]]],.] [[[]],[],[[]],[]] => [[.,[.,[[.,[.,.]],.]]],.] [[[]],[],[[],[]]] => [[.,.],[.,[[.,.],[.,.]]]] [[[]],[],[[[]]]] => [[.,[.,[[[.,.],.],.]]],.] [[[]],[[]],[],[]] => [[.,[[.,[.,[.,.]]],.]],.] [[[]],[[]],[[]]] => [[.,[[.,[[.,.],.]],.]],.] [[[]],[[],[]],[]] => [[.,.],[[.,[.,.]],[.,.]]] [[[]],[[[]]],[]] => [[.,[[[.,[.,.]],.],.]],.] [[[]],[[],[],[]]] => [[.,.],[[.,.],[.,[.,.]]]] [[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],.]]] [[[]],[[[]],[]]] => [[.,.],[[[.,.],.],[.,.]]] [[[]],[[[],[]]]] => [[.,.],[[[.,.],[.,.]],.]] [[[]],[[[[]]]]] => [[.,[[[[.,.],.],.],.]],.] [[[],[]],[],[],[]] => [[.,[.,.]],[.,[.,[.,.]]]] [[[[]]],[],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] [[[],[]],[],[[]]] => [[.,[.,.]],[.,[[.,.],.]]] [[[[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],.] [[[],[]],[[]],[]] => [[.,[.,.]],[[.,[.,.]],.]] [[[[]]],[[]],[]] => [[[.,[[.,[.,.]],.]],.],.] [[[],[]],[[],[]]] => [[.,[.,.]],[[.,.],[.,.]]] [[[],[]],[[[]]]] => [[.,[.,.]],[[[.,.],.],.]] [[[[]]],[[],[]]] => [[[.,.],.],[[.,.],[.,.]]] [[[[]]],[[[]]]] => [[[.,[[[.,.],.],.]],.],.] [[[],[],[]],[],[]] => [[.,[.,[.,.]]],[.,[.,.]]] [[[],[[]]],[],[]] => [[.,[[.,.],.]],[.,[.,.]]] [[[[]],[]],[],[]] => [[[.,[.,.]],.],[.,[.,.]]] [[[[],[]]],[],[]] => [[[.,[.,.]],[.,[.,.]]],.] [[[[[]]]],[],[]] => [[[[.,[.,[.,.]]],.],.],.] [[[],[],[]],[[]]] => [[.,[.,[.,.]]],[[.,.],.]] [[[],[[]]],[[]]] => [[.,[[.,.],.]],[[.,.],.]] [[[[]],[]],[[]]] => [[[.,[.,.]],.],[[.,.],.]] [[[[],[]]],[[]]] => [[[.,[.,.]],[[.,.],.]],.] [[[[[]]]],[[]]] => [[[[.,[[.,.],.]],.],.],.] [[[],[],[],[]],[]] => [[.,[.,[.,[.,.]]]],[.,.]] [[[],[],[[]]],[]] => [[.,[.,[[.,.],.]]],[.,.]] [[[],[[]],[]],[]] => [[.,[[.,[.,.]],.]],[.,.]] [[[],[[],[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] [[[],[[[]]]],[]] => [[.,[[[.,.],.],.]],[.,.]] [[[[]],[],[]],[]] => [[[.,[.,[.,.]]],.],[.,.]] [[[[]],[[]]],[]] => [[[.,[[.,.],.]],.],[.,.]] [[[[],[]],[]],[]] => [[[.,[.,.]],[.,.]],[.,.]] [[[[[]]],[]],[]] => [[[[.,[.,.]],.],.],[.,.]] [[[[],[],[]]],[]] => [[[.,[.,[.,.]]],[.,.]],.] [[[[],[[]]]],[]] => [[[.,[[.,.],.]],[.,.]],.] [[[[[]],[]]],[]] => [[[[.,[.,.]],.],[.,.]],.] [[[[[],[]]]],[]] => [[[[.,[.,.]],[.,.]],.],.] [[[[[[]]]]],[]] => [[[[[.,[.,.]],.],.],.],.] [[[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,.]]]]] [[[],[],[],[[]]]] => [[.,.],[.,[.,[[.,.],.]]]] [[[],[],[[]],[]]] => [[.,.],[.,[[.,[.,.]],.]]] [[[],[],[[],[]]]] => [[.,[.,[[.,.],[.,.]]]],.] [[[],[],[[[]]]]] => [[.,.],[.,[[[.,.],.],.]]] [[[],[[]],[],[]]] => [[.,.],[[.,[.,[.,.]]],.]] [[[],[[]],[[]]]] => [[.,.],[[.,[[.,.],.]],.]] [[[],[[],[]],[]]] => [[.,[[.,.],[.,.]]],[.,.]] [[[],[[[]]],[]]] => [[.,.],[[[.,[.,.]],.],.]] [[[],[[],[],[]]]] => [[.,[[.,.],[.,[.,.]]]],.] [[[],[[],[[]]]]] => [[.,[[.,.],[[.,.],.]]],.] [[[],[[[]],[]]]] => [[.,[[[.,.],.],[.,.]]],.] [[[],[[[],[]]]]] => [[.,[[[.,.],[.,.]],.]],.] [[[],[[[[]]]]]] => [[.,.],[[[[.,.],.],.],.]] [[[[]],[],[],[]]] => [[[.,.],.],[.,[.,[.,.]]]] [[[[]],[],[[]]]] => [[[.,.],.],[.,[[.,.],.]]] [[[[]],[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] [[[[]],[[],[]]]] => [[[.,.],[[.,.],[.,.]]],.] [[[[]],[[[]]]]] => [[[.,.],.],[[[.,.],.],.]] [[[[],[]],[],[]]] => [[[.,.],[.,.]],[.,[.,.]]] [[[[[]]],[],[]]] => [[[[.,.],.],.],[.,[.,.]]] [[[[],[]],[[]]]] => [[[.,.],[.,.]],[[.,.],.]] [[[[[]]],[[]]]] => [[[[.,.],.],.],[[.,.],.]] [[[[],[],[]],[]]] => [[[.,.],[.,[.,.]]],[.,.]] [[[[],[[]]],[]]] => [[[.,.],[[.,.],.]],[.,.]] [[[[[]],[]],[]]] => [[[[.,.],.],[.,.]],[.,.]] [[[[[],[]]],[]]] => [[[[.,.],[.,.]],.],[.,.]] [[[[[[]]]],[]]] => [[[[[.,.],.],.],.],[.,.]] [[[[],[],[],[]]]] => [[[.,.],[.,[.,[.,.]]]],.] [[[[],[],[[]]]]] => [[[.,.],[.,[[.,.],.]]],.] [[[[],[[]],[]]]] => [[[.,.],[[.,[.,.]],.]],.] [[[[],[[],[]]]]] => [[[.,[[.,.],[.,.]]],.],.] [[[[],[[[]]]]]] => [[[.,.],[[[.,.],.],.]],.] [[[[[]],[],[]]]] => [[[[.,.],.],[.,[.,.]]],.] [[[[[]],[[]]]]] => [[[[.,.],.],[[.,.],.]],.] [[[[[],[]],[]]]] => [[[[.,.],[.,.]],[.,.]],.] [[[[[[]]],[]]]] => [[[[[.,.],.],.],[.,.]],.] [[[[[],[],[]]]]] => [[[[.,.],[.,[.,.]]],.],.] [[[[[],[[]]]]]] => [[[[.,.],[[.,.],.]],.],.] [[[[[[]],[]]]]] => [[[[[.,.],.],[.,.]],.],.] [[[[[[],[]]]]]] => [[[[[.,.],[.,.]],.],.],.] [[[[[[[]]]]]]] => [[[[[[.,.],.],.],.],.],.] [[],[],[],[],[],[],[]] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] [[],[],[],[],[],[[]]] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] [[],[],[],[],[[]],[]] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] [[],[],[],[],[[],[]]] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] [[],[],[],[],[[[]]]] => [.,[.,[.,[.,[[[.,.],.],.]]]]] [[],[],[],[[]],[],[]] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] [[],[],[],[[]],[[]]] => [.,[.,[.,[[.,[[.,.],.]],.]]]] [[],[],[],[[],[]],[]] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] [[],[],[],[[[]]],[]] => [.,[.,[.,[[[.,[.,.]],.],.]]]] [[],[],[],[[],[],[]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] [[],[],[],[[],[[]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] [[],[],[],[[[]],[]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] [[],[],[],[[[],[]]]] => [.,[.,[.,[[[.,.],[.,.]],.]]]] [[],[],[],[[[[]]]]] => [.,[.,[.,[[[[.,.],.],.],.]]]] [[],[],[[]],[],[],[]] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] [[],[],[[]],[],[[]]] => [.,[.,[[.,[.,[[.,.],.]]],.]]] [[],[],[[]],[[]],[]] => [.,[.,[[.,[[.,[.,.]],.]],.]]] [[],[],[[]],[[],[]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] [[],[],[[]],[[[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] [[],[],[[],[]],[],[]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] [[],[],[[[]]],[],[]] => [.,[.,[[[.,[.,[.,.]]],.],.]]] [[],[],[[],[]],[[]]] => [.,[.,[[.,[.,.]],[[.,.],.]]]] [[],[],[[[]]],[[]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] [[],[],[[],[],[]],[]] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] [[],[],[[],[[]]],[]] => [.,[.,[[.,[[.,.],.]],[.,.]]]] [[],[],[[[]],[]],[]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] [[],[],[[[],[]]],[]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] [[],[],[[[[]]]],[]] => [.,[.,[[[[.,[.,.]],.],.],.]]] [[],[],[[],[],[],[]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] [[],[],[[],[],[[]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] [[],[],[[],[[]],[]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] [[],[],[[],[[],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] [[],[],[[],[[[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] [[],[],[[[]],[],[]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] [[],[],[[[]],[[]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] [[],[],[[[],[]],[]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] [[],[],[[[[]]],[]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] [[],[],[[[],[],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] [[],[],[[[],[[]]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] [[],[],[[[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] [[],[],[[[[],[]]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] [[],[],[[[[[]]]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] [[],[[]],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] [[],[[]],[],[],[[]]] => [.,[[.,[.,[.,[[.,.],.]]]],.]] [[],[[]],[],[[]],[]] => [.,[[.,[.,[[.,[.,.]],.]]],.]] [[],[[]],[],[[],[]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] [[],[[]],[],[[[]]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] [[],[[]],[[]],[],[]] => [.,[[.,[[.,[.,[.,.]]],.]],.]] [[],[[]],[[]],[[]]] => [.,[[.,[[.,[[.,.],.]],.]],.]] [[],[[]],[[],[]],[]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] [[],[[]],[[[]]],[]] => [.,[[.,[[[.,[.,.]],.],.]],.]] [[],[[]],[[],[],[]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] [[],[[]],[[],[[]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] [[],[[]],[[[]],[]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] [[],[[]],[[[],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] [[],[[]],[[[[]]]]] => [.,[[.,[[[[.,.],.],.],.]],.]] [[],[[],[]],[],[],[]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] [[],[[[]]],[],[],[]] => [.,[[[.,[.,[.,[.,.]]]],.],.]] [[],[[],[]],[],[[]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] [[],[[[]]],[],[[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] [[],[[],[]],[[]],[]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] [[],[[[]]],[[]],[]] => [.,[[[.,[[.,[.,.]],.]],.],.]] [[],[[],[]],[[],[]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] [[],[[],[]],[[[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] [[],[[[]]],[[],[]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] [[],[[[]]],[[[]]]] => [.,[[[.,[[[.,.],.],.]],.],.]] [[],[[],[],[]],[],[]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] [[],[[],[[]]],[],[]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] [[],[[[]],[]],[],[]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] [[],[[[],[]]],[],[]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] [[],[[[[]]]],[],[]] => [.,[[[[.,[.,[.,.]]],.],.],.]] [[],[[],[],[]],[[]]] => [.,[[.,[.,[.,.]]],[[.,.],.]]] [[],[[],[[]]],[[]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] [[],[[[]],[]],[[]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] [[],[[[],[]]],[[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] [[],[[[[]]]],[[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] [[],[[],[],[],[]],[]] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] [[],[[],[],[[]]],[]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] [[],[[],[[]],[]],[]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] [[],[[],[[],[]]],[]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] [[],[[],[[[]]]],[]] => [.,[[.,[[[.,.],.],.]],[.,.]]] [[],[[[]],[],[]],[]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] [[],[[[]],[[]]],[]] => [.,[[[.,[[.,.],.]],.],[.,.]]] [[],[[[],[]],[]],[]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] [[],[[[[]]],[]],[]] => [.,[[[[.,[.,.]],.],.],[.,.]]] [[],[[[],[],[]]],[]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] [[],[[[],[[]]]],[]] => [.,[[[.,[[.,.],.]],[.,.]],.]] [[],[[[[]],[]]],[]] => [.,[[[[.,[.,.]],.],[.,.]],.]] [[],[[[[],[]]]],[]] => [.,[[[[.,[.,.]],[.,.]],.],.]] [[],[[[[[]]]]],[]] => [.,[[[[[.,[.,.]],.],.],.],.]] [[],[[],[],[],[],[]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] [[],[[],[],[],[[]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] [[],[[],[],[[]],[]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] [[],[[],[],[[],[]]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] [[],[[],[],[[[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] [[],[[],[[]],[],[]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] [[],[[],[[]],[[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] [[],[[],[[],[]],[]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] [[],[[],[[[]]],[]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] [[],[[],[[],[],[]]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] [[],[[],[[],[[]]]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] [[],[[],[[[]],[]]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] [[],[[],[[[],[]]]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] [[],[[],[[[[]]]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] [[],[[[]],[],[],[]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] [[],[[[]],[],[[]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] [[],[[[]],[[]],[]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] [[],[[[]],[[],[]]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] [[],[[[]],[[[]]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] [[],[[[],[]],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] [[],[[[[]]],[],[]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] [[],[[[],[]],[[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] [[],[[[[]]],[[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] [[],[[[],[],[]],[]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] [[],[[[],[[]]],[]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] [[],[[[[]],[]],[]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] [[],[[[[],[]]],[]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] [[],[[[[[]]]],[]]] => [.,[[[[[.,.],.],.],.],[.,.]]] [[],[[[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] [[],[[[],[],[[]]]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] [[],[[[],[[]],[]]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] [[],[[[],[[],[]]]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] [[],[[[],[[[]]]]]] => [.,[[[.,.],[[[.,.],.],.]],.]] [[],[[[[]],[],[]]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] [[],[[[[]],[[]]]]] => [.,[[[[.,.],.],[[.,.],.]],.]] [[],[[[[],[]],[]]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] [[],[[[[[]]],[]]]] => [.,[[[[[.,.],.],.],[.,.]],.]] [[],[[[[],[],[]]]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] [[],[[[[],[[]]]]]] => [.,[[[[.,.],[[.,.],.]],.],.]] [[],[[[[[]],[]]]]] => [.,[[[[[.,.],.],[.,.]],.],.]] [[],[[[[[],[]]]]]] => [.,[[[[[.,.],[.,.]],.],.],.]] [[],[[[[[[]]]]]]] => [.,[[[[[[.,.],.],.],.],.],.]] [[[]],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] [[[]],[],[],[],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],.] [[[]],[],[],[[]],[]] => [[.,[.,[.,[[.,[.,.]],.]]]],.] [[[]],[],[],[[],[]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] [[[]],[],[],[[[]]]] => [[.,[.,[.,[[[.,.],.],.]]]],.] [[[]],[],[[]],[],[]] => [[.,[.,[[.,[.,[.,.]]],.]]],.] [[[]],[],[[]],[[]]] => [[.,[.,[[.,[[.,.],.]],.]]],.] [[[]],[],[[],[]],[]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] [[[]],[],[[[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] [[[]],[],[[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] [[[]],[],[[],[[]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] [[[]],[],[[[]],[]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] [[[]],[],[[[],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] [[[]],[],[[[[]]]]] => [[.,[.,[[[[.,.],.],.],.]]],.] [[[]],[[]],[],[],[]] => [[.,[[.,[.,[.,[.,.]]]],.]],.] [[[]],[[]],[],[[]]] => [[.,[[.,[.,[[.,.],.]]],.]],.] [[[]],[[]],[[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] [[[]],[[]],[[],[]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] [[[]],[[]],[[[]]]] => [[.,[[.,[[[.,.],.],.]],.]],.] [[[]],[[],[]],[],[]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] [[[]],[[[]]],[],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] [[[]],[[],[]],[[]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] [[[]],[[[]]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],.] [[[]],[[],[],[]],[]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] [[[]],[[],[[]]],[]] => [[.,.],[[.,[[.,.],.]],[.,.]]] [[[]],[[[]],[]],[]] => [[.,.],[[[.,[.,.]],.],[.,.]]] [[[]],[[[],[]]],[]] => [[.,.],[[[.,[.,.]],[.,.]],.]] [[[]],[[[[]]]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] [[[]],[[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] [[[]],[[],[],[[]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] [[[]],[[],[[]],[]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] [[[]],[[],[[],[]]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] [[[]],[[],[[[]]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] [[[]],[[[]],[],[]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] [[[]],[[[]],[[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] [[[]],[[[],[]],[]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] [[[]],[[[[]]],[]]] => [[.,.],[[[[.,.],.],.],[.,.]]] [[[]],[[[],[],[]]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] [[[]],[[[],[[]]]]] => [[.,.],[[[.,.],[[.,.],.]],.]] [[[]],[[[[]],[]]]] => [[.,.],[[[[.,.],.],[.,.]],.]] [[[]],[[[[],[]]]]] => [[.,.],[[[[.,.],[.,.]],.],.]] [[[]],[[[[[]]]]]] => [[.,[[[[[.,.],.],.],.],.]],.] [[[],[]],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] [[[[]]],[],[],[],[]] => [[[.,[.,[.,[.,[.,.]]]]],.],.] [[[],[]],[],[],[[]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] [[[[]]],[],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],.] [[[],[]],[],[[]],[]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] [[[[]]],[],[[]],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] [[[],[]],[],[[],[]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] [[[],[]],[],[[[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] [[[[]]],[],[[],[]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] [[[[]]],[],[[[]]]] => [[[.,[.,[[[.,.],.],.]]],.],.] [[[],[]],[[]],[],[]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] [[[[]]],[[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] [[[],[]],[[]],[[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] [[[[]]],[[]],[[]]] => [[[.,[[.,[[.,.],.]],.]],.],.] [[[],[]],[[],[]],[]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] [[[],[]],[[[]]],[]] => [[.,[.,.]],[[[.,[.,.]],.],.]] [[[[]]],[[],[]],[]] => [[[.,.],.],[[.,[.,.]],[.,.]]] [[[[]]],[[[]]],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] [[[],[]],[[],[],[]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] [[[],[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] [[[],[]],[[[]],[]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] [[[],[]],[[[],[]]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] [[[],[]],[[[[]]]]] => [[.,[.,.]],[[[[.,.],.],.],.]] [[[[]]],[[],[],[]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] [[[[]]],[[],[[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] [[[[]]],[[[]],[]]] => [[[.,.],.],[[[.,.],.],[.,.]]] [[[[]]],[[[],[]]]] => [[[.,.],.],[[[.,.],[.,.]],.]] [[[[]]],[[[[]]]]] => [[[.,[[[[.,.],.],.],.]],.],.] [[[],[],[]],[],[],[]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] [[[],[[]]],[],[],[]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] [[[[]],[]],[],[],[]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] [[[[],[]]],[],[],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] [[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] [[[],[],[]],[],[[]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] [[[],[[]]],[],[[]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] [[[[]],[]],[],[[]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] [[[[],[]]],[],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],.] [[[[[]]]],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],.] [[[],[],[]],[[]],[]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] [[[],[[]]],[[]],[]] => [[.,[[.,.],.]],[[.,[.,.]],.]] [[[[]],[]],[[]],[]] => [[[.,[.,.]],.],[[.,[.,.]],.]] [[[[],[]]],[[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] [[[[[]]]],[[]],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] [[[],[],[]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] [[[],[],[]],[[[]]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] [[[],[[]]],[[],[]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] [[[],[[]]],[[[]]]] => [[.,[[.,.],.]],[[[.,.],.],.]] [[[[]],[]],[[],[]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] [[[[]],[]],[[[]]]] => [[[.,[.,.]],.],[[[.,.],.],.]] [[[[],[]]],[[],[]]] => [[[.,[.,.]],[[.,.],[.,.]]],.] [[[[],[]]],[[[]]]] => [[[.,[.,.]],[[[.,.],.],.]],.] [[[[[]]]],[[],[]]] => [[[[.,.],.],.],[[.,.],[.,.]]] [[[[[]]]],[[[]]]] => [[[[.,[[[.,.],.],.]],.],.],.] [[[],[],[],[]],[],[]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] [[[],[],[[]]],[],[]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] [[[],[[]],[]],[],[]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] [[[],[[],[]]],[],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] [[[],[[[]]]],[],[]] => [[.,[[[.,.],.],.]],[.,[.,.]]] [[[[]],[],[]],[],[]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] [[[[]],[[]]],[],[]] => [[[.,[[.,.],.]],.],[.,[.,.]]] [[[[],[]],[]],[],[]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] [[[[[]]],[]],[],[]] => [[[[.,[.,.]],.],.],[.,[.,.]]] [[[[],[],[]]],[],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] [[[[],[[]]]],[],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] [[[[[]],[]]],[],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] [[[[[],[]]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] [[[[[[]]]]],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] [[[],[],[],[]],[[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] [[[],[],[[]]],[[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] [[[],[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] [[[],[[],[]]],[[]]] => [[.,[[.,[.,.]],[[.,.],.]]],.] [[[],[[[]]]],[[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] [[[[]],[],[]],[[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] [[[[]],[[]]],[[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] [[[[],[]],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] [[[[[]]],[]],[[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] [[[[],[],[]]],[[]]] => [[[.,[.,[.,.]]],[[.,.],.]],.] [[[[],[[]]]],[[]]] => [[[.,[[.,.],.]],[[.,.],.]],.] [[[[[]],[]]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],.] [[[[[],[]]]],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],.] [[[[[[]]]]],[[]]] => [[[[[.,[[.,.],.]],.],.],.],.] [[[],[],[],[],[]],[]] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] [[[],[],[],[[]]],[]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] [[[],[],[[]],[]],[]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] [[[],[],[[],[]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] [[[],[],[[[]]]],[]] => [[.,[.,[[[.,.],.],.]]],[.,.]] [[[],[[]],[],[]],[]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] [[[],[[]],[[]]],[]] => [[.,[[.,[[.,.],.]],.]],[.,.]] [[[],[[],[]],[]],[]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] [[[],[[[]]],[]],[]] => [[.,[[[.,[.,.]],.],.]],[.,.]] [[[],[[],[],[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] [[[],[[],[[]]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] [[[],[[[]],[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] [[[],[[[],[]]]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] [[[],[[[[]]]]],[]] => [[.,[[[[.,.],.],.],.]],[.,.]] [[[[]],[],[],[]],[]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] [[[[]],[],[[]]],[]] => [[[.,[.,[[.,.],.]]],.],[.,.]] [[[[]],[[]],[]],[]] => [[[.,[[.,[.,.]],.]],.],[.,.]] [[[[]],[[],[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] [[[[]],[[[]]]],[]] => [[[.,[[[.,.],.],.]],.],[.,.]] [[[[],[]],[],[]],[]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] [[[[[]]],[],[]],[]] => [[[[.,[.,[.,.]]],.],.],[.,.]] [[[[],[]],[[]]],[]] => [[[.,[.,.]],[.,.]],[[.,.],.]] [[[[[]]],[[]]],[]] => [[[[.,[[.,.],.]],.],.],[.,.]] [[[[],[],[]],[]],[]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] [[[[],[[]]],[]],[]] => [[[.,[[.,.],.]],[.,.]],[.,.]] [[[[[]],[]],[]],[]] => [[[[.,[.,.]],.],[.,.]],[.,.]] [[[[[],[]]],[]],[]] => [[[[.,[.,.]],[.,.]],.],[.,.]] [[[[[[]]]],[]],[]] => [[[[[.,[.,.]],.],.],.],[.,.]] [[[[],[],[],[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] [[[[],[],[[]]]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] [[[[],[[]],[]]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] [[[[],[[],[]]]],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] [[[[],[[[]]]]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] [[[[[]],[],[]]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] [[[[[]],[[]]]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] [[[[[],[]],[]]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] [[[[[[]]],[]]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] [[[[[],[],[]]]],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] [[[[[],[[]]]]],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] [[[[[[]],[]]]],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] [[[[[[],[]]]]],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] [[[[[[[]]]]]],[]] => [[[[[[.,[.,.]],.],.],.],.],.] [[[],[],[],[],[],[]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] [[[],[],[],[],[[]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] [[[],[],[],[[]],[]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] [[[],[],[],[[],[]]]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] [[[],[],[],[[[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] [[[],[],[[]],[],[]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] [[[],[],[[]],[[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] [[[],[],[[],[]],[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] [[[],[],[[[]]],[]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] [[[],[],[[],[],[]]]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] [[[],[],[[],[[]]]]] => [[.,[.,[[.,.],[[.,.],.]]]],.] [[[],[],[[[]],[]]]] => [[.,[.,[[[.,.],.],[.,.]]]],.] [[[],[],[[[],[]]]]] => [[.,[.,[[[.,.],[.,.]],.]]],.] [[[],[],[[[[]]]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] [[[],[[]],[],[],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] [[[],[[]],[],[[]]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] [[[],[[]],[[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] [[[],[[]],[[],[]]]] => [[.,[[.,.],[[.,.],[.,.]]]],.] [[[],[[]],[[[]]]]] => [[.,.],[[.,[[[.,.],.],.]],.]] [[[],[[],[]],[],[]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] [[[],[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] [[[],[[],[]],[[]]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] [[[],[[[]]],[[]]]] => [[.,.],[[[.,[[.,.],.]],.],.]] [[[],[[],[],[]],[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] [[[],[[],[[]]],[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] [[[],[[[]],[]],[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] [[[],[[[],[]]],[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] [[[],[[[[]]]],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] [[[],[[],[],[],[]]]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] [[[],[[],[],[[]]]]] => [[.,[[.,.],[.,[[.,.],.]]]],.] [[[],[[],[[]],[]]]] => [[.,[[.,.],[[.,[.,.]],.]]],.] [[[],[[],[[],[]]]]] => [[.,[[.,[[.,.],[.,.]]],.]],.] [[[],[[],[[[]]]]]] => [[.,[[.,.],[[[.,.],.],.]]],.] [[[],[[[]],[],[]]]] => [[.,[[[.,.],.],[.,[.,.]]]],.] [[[],[[[]],[[]]]]] => [[.,[[[.,.],.],[[.,.],.]]],.] [[[],[[[],[]],[]]]] => [[.,[[[.,.],[.,.]],[.,.]]],.] [[[],[[[[]]],[]]]] => [[.,[[[[.,.],.],.],[.,.]]],.] [[[],[[[],[],[]]]]] => [[.,[[[.,.],[.,[.,.]]],.]],.] [[[],[[[],[[]]]]]] => [[.,[[[.,.],[[.,.],.]],.]],.] [[[],[[[[]],[]]]]] => [[.,[[[[.,.],.],[.,.]],.]],.] [[[],[[[[],[]]]]]] => [[.,[[[[.,.],[.,.]],.],.]],.] [[[],[[[[[]]]]]]] => [[.,.],[[[[[.,.],.],.],.],.]] [[[[]],[],[],[],[]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] [[[[]],[],[],[[]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] [[[[]],[],[[]],[]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] [[[[]],[],[[],[]]]] => [[[.,.],[.,[[.,.],[.,.]]]],.] [[[[]],[],[[[]]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] [[[[]],[[]],[],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] [[[[]],[[]],[[]]]] => [[[.,.],.],[[.,[[.,.],.]],.]] [[[[]],[[],[]],[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] [[[[]],[[[]]],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] [[[[]],[[],[],[]]]] => [[[.,.],[[.,.],[.,[.,.]]]],.] [[[[]],[[],[[]]]]] => [[[.,.],[[.,.],[[.,.],.]]],.] [[[[]],[[[]],[]]]] => [[[.,.],[[[.,.],.],[.,.]]],.] [[[[]],[[[],[]]]]] => [[[.,.],[[[.,.],[.,.]],.]],.] [[[[]],[[[[]]]]]] => [[[.,.],.],[[[[.,.],.],.],.]] [[[[],[]],[],[],[]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] [[[[[]]],[],[],[]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] [[[[],[]],[],[[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] [[[[[]]],[],[[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] [[[[],[]],[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] [[[[[]]],[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] [[[[],[]],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] [[[[],[]],[[[]]]]] => [[[.,.],[.,.]],[[[.,.],.],.]] [[[[[]]],[[],[]]]] => [[[[.,.],.],[[.,.],[.,.]]],.] [[[[[]]],[[[]]]]] => [[[[.,.],.],.],[[[.,.],.],.]] [[[[],[],[]],[],[]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] [[[[],[[]]],[],[]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] [[[[[]],[]],[],[]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] [[[[[],[]]],[],[]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] [[[[[[]]]],[],[]]] => [[[[[.,.],.],.],.],[.,[.,.]]] [[[[],[],[]],[[]]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] [[[[],[[]]],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],.]] [[[[[]],[]],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] [[[[[],[]]],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] [[[[[[]]]],[[]]]] => [[[[[.,.],.],.],.],[[.,.],.]] [[[[],[],[],[]],[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] [[[[],[],[[]]],[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] [[[[],[[]],[]],[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] [[[[],[[],[]]],[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] [[[[],[[[]]]],[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] [[[[[]],[],[]],[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] [[[[[]],[[]]],[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] [[[[[],[]],[]],[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] [[[[[[]]],[]],[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] [[[[[],[],[]]],[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] [[[[[],[[]]]],[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] [[[[[[]],[]]],[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] [[[[[[],[]]]],[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] [[[[[[[]]]]],[]]] => [[[[[[.,.],.],.],.],.],[.,.]] [[[[],[],[],[],[]]]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] [[[[],[],[],[[]]]]] => [[[.,.],[.,[.,[[.,.],.]]]],.] [[[[],[],[[]],[]]]] => [[[.,.],[.,[[.,[.,.]],.]]],.] [[[[],[],[[],[]]]]] => [[[.,[.,[[.,.],[.,.]]]],.],.] [[[[],[],[[[]]]]]] => [[[.,.],[.,[[[.,.],.],.]]],.] [[[[],[[]],[],[]]]] => [[[.,.],[[.,[.,[.,.]]],.]],.] [[[[],[[]],[[]]]]] => [[[.,.],[[.,[[.,.],.]],.]],.] [[[[],[[],[]],[]]]] => [[[.,[[.,.],[.,.]]],[.,.]],.] [[[[],[[[]]],[]]]] => [[[.,.],[[[.,[.,.]],.],.]],.] [[[[],[[],[],[]]]]] => [[[.,[[.,.],[.,[.,.]]]],.],.] [[[[],[[],[[]]]]]] => [[[.,[[.,.],[[.,.],.]]],.],.] [[[[],[[[]],[]]]]] => [[[.,[[[.,.],.],[.,.]]],.],.] [[[[],[[[],[]]]]]] => [[[.,[[[.,.],[.,.]],.]],.],.] [[[[],[[[[]]]]]]] => [[[.,.],[[[[.,.],.],.],.]],.] [[[[[]],[],[],[]]]] => [[[[.,.],.],[.,[.,[.,.]]]],.] [[[[[]],[],[[]]]]] => [[[[.,.],.],[.,[[.,.],.]]],.] [[[[[]],[[]],[]]]] => [[[[.,.],.],[[.,[.,.]],.]],.] [[[[[]],[[],[]]]]] => [[[[.,.],[[.,.],[.,.]]],.],.] [[[[[]],[[[]]]]]] => [[[[.,.],.],[[[.,.],.],.]],.] [[[[[],[]],[],[]]]] => [[[[.,.],[.,.]],[.,[.,.]]],.] [[[[[[]]],[],[]]]] => [[[[[.,.],.],.],[.,[.,.]]],.] [[[[[],[]],[[]]]]] => [[[[.,.],[.,.]],[[.,.],.]],.] [[[[[[]]],[[]]]]] => [[[[[.,.],.],.],[[.,.],.]],.] [[[[[],[],[]],[]]]] => [[[[.,.],[.,[.,.]]],[.,.]],.] [[[[[],[[]]],[]]]] => [[[[.,.],[[.,.],.]],[.,.]],.] [[[[[[]],[]],[]]]] => [[[[[.,.],.],[.,.]],[.,.]],.] [[[[[[],[]]],[]]]] => [[[[[.,.],[.,.]],.],[.,.]],.] [[[[[[[]]]],[]]]] => [[[[[[.,.],.],.],.],[.,.]],.] [[[[[],[],[],[]]]]] => [[[[.,.],[.,[.,[.,.]]]],.],.] [[[[[],[],[[]]]]]] => [[[[.,.],[.,[[.,.],.]]],.],.] [[[[[],[[]],[]]]]] => [[[[.,.],[[.,[.,.]],.]],.],.] 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[[],[],[[[],[[[]]]]]] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] [[],[],[[[[]],[],[]]]] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] [[],[],[[[[]],[[]]]]] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] [[],[],[[[[],[]],[]]]] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] [[],[],[[[[[]]],[]]]] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] [[],[],[[[[],[],[]]]]] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] [[],[],[[[[],[[]]]]]] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] [[],[],[[[[[]],[]]]]] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] [[],[],[[[[[],[]]]]]] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] [[],[],[[[[[[]]]]]]] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] [[],[[]],[],[],[],[],[]] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [[],[[]],[],[],[],[[]]] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] [[],[[]],[],[],[[]],[]] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] [[],[[]],[],[],[[],[]]] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [[],[[]],[],[],[[[]]]] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] [[],[[]],[],[[]],[],[]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] [[],[[]],[],[[]],[[]]] => [.,[[.,[.,[[.,[[.,.],.]],.]]],.]] [[],[[]],[],[[],[]],[]] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [[],[[]],[],[[[]]],[]] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] [[],[[]],[],[[],[],[]]] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [[],[[]],[],[[],[[]]]] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [[],[[]],[],[[[]],[]]] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [[],[[]],[],[[[],[]]]] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] [[],[[]],[],[[[[]]]]] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] [[],[[]],[[]],[],[],[]] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] [[],[[]],[[]],[],[[]]] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] [[],[[]],[[]],[[]],[]] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] [[],[[]],[[]],[[],[]]] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [[],[[]],[[]],[[[]]]] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] [[],[[]],[[],[]],[],[]] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [[],[[]],[[[]]],[],[]] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] [[],[[]],[[],[]],[[]]] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [[],[[]],[[[]]],[[]]] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] 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[[],[[[],[]],[],[],[]]] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [[],[[[[]]],[],[],[]]] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] [[],[[[],[]],[],[[]]]] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] [[],[[[[]]],[],[[]]]] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] [[],[[[],[]],[[]],[]]] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [[],[[[[]]],[[]],[]]] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] [[],[[[],[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [[],[[[],[]],[[[]]]]] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] [[],[[[[]]],[[],[]]]] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] [[],[[[[]]],[[[]]]]] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] [[],[[[],[],[]],[],[]]] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [[],[[[],[[]]],[],[]]] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [[],[[[[]],[]],[],[]]] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] [[],[[[[],[]]],[],[]]] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] [[],[[[[[]]]],[],[]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] [[],[[[],[],[]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [[],[[[],[[]]],[[]]]] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] [[],[[[[]],[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] [[],[[[[],[]]],[[]]]] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] [[],[[[[[]]]],[[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] [[],[[[],[],[],[]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [[],[[[],[],[[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] [[],[[[],[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] [[],[[[],[[],[]]],[]]] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] [[],[[[],[[[]]]],[]]] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] [[],[[[[]],[],[]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] [[],[[[[]],[[]]],[]]] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] [[],[[[[],[]],[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] [[],[[[[[]]],[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] [[],[[[[],[],[]]],[]]] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] [[],[[[[],[[]]]],[]]] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] [[],[[[[[]],[]]],[]]] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] [[],[[[[[],[]]]],[]]] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] [[],[[[[[[]]]]],[]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] [[],[[[],[],[],[],[]]]] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] [[],[[[],[],[],[[]]]]] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] [[],[[[],[],[[]],[]]]] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] [[],[[[],[],[[],[]]]]] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] [[],[[[],[],[[[]]]]]] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] [[],[[[],[[]],[],[]]]] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] [[],[[[],[[]],[[]]]]] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] [[],[[[],[[],[]],[]]]] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] [[],[[[],[[[]]],[]]]] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] [[],[[[],[[],[],[]]]]] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] [[],[[[],[[],[[]]]]]] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] [[],[[[],[[[]],[]]]]] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] [[],[[[],[[[],[]]]]]] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] [[],[[[],[[[[]]]]]]] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] [[],[[[[]],[],[],[]]]] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] [[],[[[[]],[],[[]]]]] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] [[],[[[[]],[[]],[]]]] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] [[],[[[[]],[[],[]]]]] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] [[],[[[[]],[[[]]]]]] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] [[],[[[[],[]],[],[]]]] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] [[],[[[[[]]],[],[]]]] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] [[],[[[[],[]],[[]]]]] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] [[],[[[[[]]],[[]]]]] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] [[],[[[[],[],[]],[]]]] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] [[],[[[[],[[]]],[]]]] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] [[],[[[[[]],[]],[]]]] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] [[],[[[[[],[]]],[]]]] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] [[],[[[[[[]]]],[]]]] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] [[],[[[[],[],[],[]]]]] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] [[],[[[[],[],[[]]]]]] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] [[],[[[[],[[]],[]]]]] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] [[],[[[[],[[],[]]]]]] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] [[],[[[[],[[[]]]]]]] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] [[],[[[[[]],[],[]]]]] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] [[],[[[[[]],[[]]]]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] [[],[[[[[],[]],[]]]]] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] [[],[[[[[[]]],[]]]]] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] [[],[[[[[],[],[]]]]]] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] [[],[[[[[],[[]]]]]]] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] [[],[[[[[[]],[]]]]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] [[],[[[[[[],[]]]]]]] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] [[],[[[[[[[]]]]]]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] [[[]],[],[],[],[],[],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] [[[]],[],[],[],[],[[]]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] [[[]],[],[],[],[[]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] [[[]],[],[],[],[[],[]]] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [[[]],[],[],[],[[[]]]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] [[[]],[],[],[[]],[],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] [[[]],[],[],[[]],[[]]] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] [[[]],[],[],[[],[]],[]] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [[[]],[],[],[[[]]],[]] => [[.,[.,[.,[[[.,[.,.]],.],.]]]],.] [[[]],[],[],[[],[],[]]] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [[[]],[],[],[[],[[]]]] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [[[]],[],[],[[[]],[]]] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [[[]],[],[],[[[],[]]]] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [[[]],[],[],[[[[]]]]] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] [[[]],[],[[]],[],[],[]] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] [[[]],[],[[]],[],[[]]] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] [[[]],[],[[]],[[]],[]] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] [[[]],[],[[]],[[],[]]] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [[[]],[],[[]],[[[]]]] => [[.,[.,[[.,[[[.,.],.],.]],.]]],.] [[[]],[],[[],[]],[],[]] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [[[]],[],[[[]]],[],[]] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] [[[]],[],[[],[]],[[]]] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [[[]],[],[[[]]],[[]]] => [[.,[.,[[[.,[[.,.],.]],.],.]]],.] [[[]],[],[[],[],[]],[]] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [[[]],[],[[],[[]]],[]] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] [[[]],[],[[[]],[]],[]] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [[[]],[],[[[],[]]],[]] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] [[[]],[],[[[[]]]],[]] => [[.,[.,[[[[.,[.,.]],.],.],.]]],.] [[[]],[],[[],[],[],[]]] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [[[]],[],[[],[],[[]]]] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [[[]],[],[[],[[]],[]]] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [[[]],[],[[],[[],[]]]] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] [[[]],[],[[],[[[]]]]] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] [[[]],[],[[[]],[],[]]] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [[[]],[],[[[]],[[]]]] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] [[[]],[],[[[],[]],[]]] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [[[]],[],[[[[]]],[]]] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] [[[]],[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [[[]],[],[[[],[[]]]]] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] [[[]],[],[[[[]],[]]]] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] [[[]],[],[[[[],[]]]]] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] [[[]],[],[[[[[]]]]]] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] [[[]],[[]],[],[],[],[]] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] [[[]],[[]],[],[],[[]]] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] [[[]],[[]],[],[[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] [[[]],[[]],[],[[],[]]] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [[[]],[[]],[],[[[]]]] => [[.,[[.,[.,[[[.,.],.],.]]],.]],.] [[[]],[[]],[[]],[],[]] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] [[[]],[[]],[[]],[[]]] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] [[[]],[[]],[[],[]],[]] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [[[]],[[]],[[[]]],[]] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] [[[]],[[]],[[],[],[]]] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [[[]],[[]],[[],[[]]]] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] [[[]],[[]],[[[]],[]]] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] [[[]],[[]],[[[],[]]]] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] [[[]],[[]],[[[[]]]]] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] [[[]],[[],[]],[],[],[]] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [[[]],[[[]]],[],[],[]] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] [[[]],[[],[]],[],[[]]] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [[[]],[[[]]],[],[[]]] => [[.,[[[.,[.,[[.,.],.]]],.],.]],.] [[[]],[[],[]],[[]],[]] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [[[]],[[[]]],[[]],[]] => [[.,[[[.,[[.,[.,.]],.]],.],.]],.] [[[]],[[],[]],[[],[]]] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [[[]],[[],[]],[[[]]]] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] [[[]],[[[]]],[[],[]]] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] [[[]],[[[]]],[[[]]]] => [[.,[[[.,[[[.,.],.],.]],.],.]],.] [[[]],[[],[],[]],[],[]] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [[[]],[[],[[]]],[],[]] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [[[]],[[[]],[]],[],[]] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [[[]],[[[],[]]],[],[]] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] [[[]],[[[[]]]],[],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] [[[]],[[],[],[]],[[]]] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [[[]],[[],[[]]],[[]]] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] [[[]],[[[]],[]],[[]]] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] [[[]],[[[],[]]],[[]]] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] [[[]],[[[[]]]],[[]]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] [[[]],[[],[],[],[]],[]] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [[[]],[[],[],[[]]],[]] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] [[[]],[[],[[]],[]],[]] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] [[[]],[[],[[],[]]],[]] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] [[[]],[[],[[[]]]],[]] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] [[[]],[[[]],[],[]],[]] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] [[[]],[[[]],[[]]],[]] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] [[[]],[[[],[]],[]],[]] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] [[[]],[[[[]]],[]],[]] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] [[[]],[[[],[],[]]],[]] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] [[[]],[[[],[[]]]],[]] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] [[[]],[[[[]],[]]],[]] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] [[[]],[[[[],[]]]],[]] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] [[[]],[[[[[]]]]],[]] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] [[[]],[[],[],[],[],[]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [[[]],[[],[],[],[[]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [[[]],[[],[],[[]],[]]] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [[[]],[[],[],[[],[]]]] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] [[[]],[[],[],[[[]]]]] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] [[[]],[[],[[]],[],[]]] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [[[]],[[],[[]],[[]]]] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] [[[]],[[],[[],[]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] [[[]],[[],[[[]]],[]]] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] [[[]],[[],[[],[],[]]]] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] [[[]],[[],[[],[[]]]]] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] [[[]],[[],[[[]],[]]]] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] [[[]],[[],[[[],[]]]]] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] [[[]],[[],[[[[]]]]]] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] [[[]],[[[]],[],[],[]]] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [[[]],[[[]],[],[[]]]] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] [[[]],[[[]],[[]],[]]] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] [[[]],[[[]],[[],[]]]] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] [[[]],[[[]],[[[]]]]] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] [[[]],[[[],[]],[],[]]] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [[[]],[[[[]]],[],[]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] [[[]],[[[],[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] [[[]],[[[[]]],[[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] [[[]],[[[],[],[]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [[[]],[[[],[[]]],[]]] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] [[[]],[[[[]],[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] [[[]],[[[[],[]]],[]]] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] [[[]],[[[[[]]]],[]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] [[[]],[[[],[],[],[]]]] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] [[[]],[[[],[],[[]]]]] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] [[[]],[[[],[[]],[]]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] [[[]],[[[],[[],[]]]]] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] [[[]],[[[],[[[]]]]]] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] [[[]],[[[[]],[],[]]]] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] [[[]],[[[[]],[[]]]]] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] [[[]],[[[[],[]],[]]]] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] [[[]],[[[[[]]],[]]]] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] [[[]],[[[[],[],[]]]]] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] [[[]],[[[[],[[]]]]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] [[[]],[[[[[]],[]]]]] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] [[[]],[[[[[],[]]]]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] [[[]],[[[[[[]]]]]]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] [[[],[]],[],[],[],[],[]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [[[[]]],[],[],[],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] [[[],[]],[],[],[],[[]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [[[[]]],[],[],[],[[]]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] [[[],[]],[],[],[[]],[]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [[[[]]],[],[],[[]],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] [[[],[]],[],[],[[],[]]] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [[[],[]],[],[],[[[]]]] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [[[[]]],[],[],[[],[]]] => [[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [[[[]]],[],[],[[[]]]] => [[[.,[.,[.,[[[.,.],.],.]]]],.],.] [[[],[]],[],[[]],[],[]] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [[[[]]],[],[[]],[],[]] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] [[[],[]],[],[[]],[[]]] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:27 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey