************************************************************************ * 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: Mp00249 ------------------------------------------------------------------------ Map name: Callan switch ------------------------------------------------------------------------ Domain: Set partitions ------------------------------------------------------------------------ Codomain: Set partitions ------------------------------------------------------------------------ Description: Switch the first closer and the minimum of the smallest closer and the second element of the block containing 1 in a set partition. More precisely, this involution implements a joint symmetry between [[St000971]] and [[St001784]]. ------------------------------------------------------------------------ References: [1] Callan, D. An involution on set partitions [[arXiv:2204.02556]] ------------------------------------------------------------------------ Code: def mapping(P): """ EXAMPLES:: sage: mapping(SetPartition([[3],[4],[7],[8,5,2],[9,6,1]])) {{1, 3, 4, 9}, {2, 5, 8}, {6}, {7}} sage: mapping(SetPartition([[3],[4],[6,5,2],[7],[9,8,1]])) {{1, 3, 4, 8, 9}, {2, 5, 6}, {7}} sage: n = 10 sage: all(mapping(mapping(P)) == P for P in SetPartitions(n)) True """ if not P: return P P = sorted((sorted(b) for b in P), key=max) r = None for b in P: if b[0] == 1: b1 = b if len(b1) == 1: y = 1 break s = b[1] if len(b) > 1 and (r is None or r > b[-1]): r = b[-1] else: y = min(r, s) x = P[0][-1] # smallest max if x == y: result = P elif x < y: if r > s: i = 0 while len(P[i]) == 1 and P[i][0] < s: i += 1 initial_singletons = sum(P[:i], []) del b1[1] b1.extend(initial_singletons) result = P[i:] + [[s]] else: i = 0 while len(P[i]) == 1: i += 1 initial_singletons = sum(P[:i], []) b1.extend(initial_singletons) result = P[i:] else: if len(P[0]) == 1: initial_singletons = [] while b1[1] < x: initial_singletons.append([b1[1]]) del b1[1] b1.append(x) result = initial_singletons + P[1:] else: initial_singletons = [] while b1[1] < x: initial_singletons.append([b1[1]]) del b1[1] result = initial_singletons + P return SetPartition(result) ------------------------------------------------------------------------ Map images: {{1}} => {{1}} {{1,2}} => {{1,2}} {{1},{2}} => {{1},{2}} {{1,2,3}} => {{1,3},{2}} {{1,2},{3}} => {{1,2},{3}} {{1,3},{2}} => {{1,2,3}} {{1},{2,3}} => {{1},{2,3}} {{1},{2},{3}} => {{1},{2},{3}} {{1,2,3,4}} => {{1,4},{2},{3}} {{1,2,3},{4}} => {{1,3},{2},{4}} {{1,2,4},{3}} => {{1,3,4},{2}} {{1,2},{3,4}} => {{1,2},{3,4}} {{1,2},{3},{4}} => {{1,2},{3},{4}} {{1,3,4},{2}} => {{1,2,4},{3}} {{1,3},{2,4}} => {{1,3},{2,4}} {{1,3},{2},{4}} => {{1,2,3},{4}} {{1,4},{2,3}} => {{1,4},{2,3}} {{1},{2,3,4}} => {{1},{2,3,4}} {{1},{2,3},{4}} => {{1},{2,3},{4}} {{1,4},{2},{3}} => {{1,2,3,4}} {{1},{2,4},{3}} => {{1},{2,4},{3}} {{1},{2},{3,4}} => {{1},{2},{3,4}} {{1},{2},{3},{4}} => {{1},{2},{3},{4}} {{1,2,3,4,5}} => {{1,5},{2},{3},{4}} {{1,2,3,4},{5}} => {{1,4},{2},{3},{5}} {{1,2,3,5},{4}} => {{1,4,5},{2},{3}} {{1,2,3},{4,5}} => {{1,3},{2},{4,5}} {{1,2,3},{4},{5}} => {{1,3},{2},{4},{5}} {{1,2,4,5},{3}} => {{1,3,4,5},{2}} {{1,2,4},{3,5}} => {{1,4},{2},{3,5}} {{1,2,4},{3},{5}} => {{1,3,4},{2},{5}} {{1,2,5},{3,4}} => {{1,5},{2},{3,4}} {{1,2},{3,4,5}} => {{1,2},{3,4,5}} {{1,2},{3,4},{5}} => {{1,2},{3,4},{5}} {{1,2,5},{3},{4}} => {{1,3,5},{2},{4}} {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} {{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} {{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} {{1,3,4,5},{2}} => {{1,2,4,5},{3}} {{1,3,4},{2,5}} => {{1,4},{2,5},{3}} {{1,3,4},{2},{5}} => {{1,2,4},{3},{5}} {{1,3,5},{2,4}} => {{1,5},{2,4},{3}} {{1,3},{2,4,5}} => {{1,3},{2,4,5}} {{1,3},{2,4},{5}} => {{1,3},{2,4},{5}} {{1,3,5},{2},{4}} => {{1,2,5},{3},{4}} {{1,3},{2,5},{4}} => {{1,3},{2,5},{4}} {{1,3},{2},{4,5}} => {{1,2,3},{4,5}} {{1,3},{2},{4},{5}} => {{1,2,3},{4},{5}} {{1,4,5},{2,3}} => {{1,4,5},{2,3}} {{1,4},{2,3,5}} => {{1,4},{2,3,5}} {{1,4},{2,3},{5}} => {{1,4},{2,3},{5}} {{1,5},{2,3,4}} => {{1,5},{2,3,4}} {{1},{2,3,4,5}} => {{1},{2,3,4,5}} {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} {{1,5},{2,3},{4}} => {{1,5},{2,3},{4}} {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}} {{1},{2,3},{4,5}} => {{1},{2,3},{4,5}} {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}} {{1,4,5},{2},{3}} => {{1,2,3,5},{4}} {{1,4},{2,5},{3}} => {{1,3,4},{2,5}} {{1,4},{2},{3,5}} => {{1,2,4},{3,5}} {{1,4},{2},{3},{5}} => {{1,2,3,4},{5}} {{1,5},{2,4},{3}} => {{1,3,5},{2,4}} {{1},{2,4,5},{3}} => {{1},{2,4,5},{3}} {{1},{2,4},{3,5}} => {{1},{2,4},{3,5}} {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} {{1,5},{2},{3,4}} => {{1,2,5},{3,4}} {{1},{2,5},{3,4}} => {{1},{2,5},{3,4}} {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}} {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}} {{1,5},{2},{3},{4}} => {{1,2,3,4,5}} {{1},{2,5},{3},{4}} => {{1},{2,5},{3},{4}} {{1},{2},{3,5},{4}} => {{1},{2},{3,5},{4}} {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}} {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} {{1,2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} {{1,2,3,4,5},{6}} => {{1,5},{2},{3},{4},{6}} {{1,2,3,4,6},{5}} => {{1,5,6},{2},{3},{4}} {{1,2,3,4},{5,6}} => {{1,4},{2},{3},{5,6}} {{1,2,3,4},{5},{6}} => {{1,4},{2},{3},{5},{6}} {{1,2,3,5,6},{4}} => {{1,4,5,6},{2},{3}} {{1,2,3,5},{4,6}} => {{1,5},{2},{3},{4,6}} {{1,2,3,5},{4},{6}} => {{1,4,5},{2},{3},{6}} {{1,2,3,6},{4,5}} => {{1,6},{2},{3},{4,5}} {{1,2,3},{4,5,6}} => {{1,3},{2},{4,5,6}} {{1,2,3},{4,5},{6}} => {{1,3},{2},{4,5},{6}} {{1,2,3,6},{4},{5}} => {{1,4,6},{2},{3},{5}} {{1,2,3},{4,6},{5}} => {{1,3},{2},{4,6},{5}} {{1,2,3},{4},{5,6}} => {{1,3},{2},{4},{5,6}} {{1,2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6}} {{1,2,4,5,6},{3}} => {{1,3,4,5,6},{2}} {{1,2,4,5},{3,6}} => {{1,5},{2},{3,6},{4}} {{1,2,4,5},{3},{6}} => {{1,3,4,5},{2},{6}} {{1,2,4,6},{3,5}} => {{1,6},{2},{3,5},{4}} {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5,6}} {{1,2,4},{3,5},{6}} => {{1,4},{2},{3,5},{6}} {{1,2,4,6},{3},{5}} => {{1,3,4,6},{2},{5}} {{1,2,4},{3,6},{5}} => {{1,4},{2},{3,6},{5}} {{1,2,4},{3},{5,6}} => {{1,3,4},{2},{5,6}} {{1,2,4},{3},{5},{6}} => {{1,3,4},{2},{5},{6}} {{1,2,5,6},{3,4}} => {{1,5,6},{2},{3,4}} {{1,2,5},{3,4,6}} => {{1,5},{2},{3,4,6}} {{1,2,5},{3,4},{6}} => {{1,5},{2},{3,4},{6}} {{1,2,6},{3,4,5}} => {{1,6},{2},{3,4,5}} {{1,2},{3,4,5,6}} => {{1,2},{3,4,5,6}} {{1,2},{3,4,5},{6}} => {{1,2},{3,4,5},{6}} {{1,2,6},{3,4},{5}} => {{1,6},{2},{3,4},{5}} {{1,2},{3,4,6},{5}} => {{1,2},{3,4,6},{5}} {{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} {{1,2},{3,4},{5},{6}} => {{1,2},{3,4},{5},{6}} {{1,2,5,6},{3},{4}} => {{1,3,5,6},{2},{4}} {{1,2,5},{3,6},{4}} => {{1,4,5},{2},{3,6}} {{1,2,5},{3},{4,6}} => {{1,3,5},{2},{4,6}} {{1,2,5},{3},{4},{6}} => {{1,3,5},{2},{4},{6}} {{1,2,6},{3,5},{4}} => {{1,4,6},{2},{3,5}} {{1,2},{3,5,6},{4}} => {{1,2},{3,5,6},{4}} {{1,2},{3,5},{4,6}} => {{1,2},{3,5},{4,6}} {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} {{1,2,6},{3},{4,5}} => {{1,3,6},{2},{4,5}} {{1,2},{3,6},{4,5}} => {{1,2},{3,6},{4,5}} {{1,2},{3},{4,5,6}} => {{1,2},{3},{4,5,6}} {{1,2},{3},{4,5},{6}} => {{1,2},{3},{4,5},{6}} {{1,2,6},{3},{4},{5}} => {{1,3,6},{2},{4},{5}} {{1,2},{3,6},{4},{5}} => {{1,2},{3,6},{4},{5}} {{1,2},{3},{4,6},{5}} => {{1,2},{3},{4,6},{5}} {{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} {{1,2},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6}} {{1,3,4,5,6},{2}} => {{1,2,4,5,6},{3}} {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} {{1,3,4,5},{2},{6}} => {{1,2,4,5},{3},{6}} {{1,3,4,6},{2,5}} => {{1,6},{2,5},{3},{4}} {{1,3,4},{2,5,6}} => {{1,4},{2,5,6},{3}} {{1,3,4},{2,5},{6}} => {{1,4},{2,5},{3},{6}} {{1,3,4,6},{2},{5}} => {{1,2,4,6},{3},{5}} {{1,3,4},{2,6},{5}} => {{1,4},{2,6},{3},{5}} {{1,3,4},{2},{5,6}} => {{1,2,4},{3},{5,6}} {{1,3,4},{2},{5},{6}} => {{1,2,4},{3},{5},{6}} {{1,3,5,6},{2,4}} => {{1,5,6},{2,4},{3}} {{1,3,5},{2,4,6}} => {{1,5},{2,4,6},{3}} {{1,3,5},{2,4},{6}} => {{1,5},{2,4},{3},{6}} {{1,3,6},{2,4,5}} => {{1,6},{2,4,5},{3}} {{1,3},{2,4,5,6}} => {{1,3},{2,4,5,6}} {{1,3},{2,4,5},{6}} => {{1,3},{2,4,5},{6}} {{1,3,6},{2,4},{5}} => {{1,6},{2,4},{3},{5}} {{1,3},{2,4,6},{5}} => {{1,3},{2,4,6},{5}} {{1,3},{2,4},{5,6}} => {{1,3},{2,4},{5,6}} {{1,3},{2,4},{5},{6}} => {{1,3},{2,4},{5},{6}} {{1,3,5,6},{2},{4}} => {{1,2,5,6},{3},{4}} {{1,3,5},{2,6},{4}} => {{1,4,5},{2,6},{3}} {{1,3,5},{2},{4,6}} => {{1,2,5},{3},{4,6}} {{1,3,5},{2},{4},{6}} => {{1,2,5},{3},{4},{6}} {{1,3,6},{2,5},{4}} => {{1,4,6},{2,5},{3}} {{1,3},{2,5,6},{4}} => {{1,3},{2,5,6},{4}} {{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} {{1,3},{2,5},{4},{6}} => {{1,3},{2,5},{4},{6}} {{1,3,6},{2},{4,5}} => {{1,2,6},{3},{4,5}} {{1,3},{2,6},{4,5}} => {{1,3},{2,6},{4,5}} {{1,3},{2},{4,5,6}} => {{1,2,3},{4,5,6}} {{1,3},{2},{4,5},{6}} => {{1,2,3},{4,5},{6}} {{1,3,6},{2},{4},{5}} => {{1,2,6},{3},{4},{5}} {{1,3},{2,6},{4},{5}} => {{1,3},{2,6},{4},{5}} {{1,3},{2},{4,6},{5}} => {{1,2,3},{4,6},{5}} {{1,3},{2},{4},{5,6}} => {{1,2,3},{4},{5,6}} {{1,3},{2},{4},{5},{6}} => {{1,2,3},{4},{5},{6}} {{1,4,5,6},{2,3}} => {{1,4,5,6},{2,3}} {{1,4,5},{2,3,6}} => {{1,5},{2,3,6},{4}} {{1,4,5},{2,3},{6}} => {{1,4,5},{2,3},{6}} {{1,4,6},{2,3,5}} => {{1,6},{2,3,5},{4}} {{1,4},{2,3,5,6}} => {{1,4},{2,3,5,6}} {{1,4},{2,3,5},{6}} => {{1,4},{2,3,5},{6}} {{1,4,6},{2,3},{5}} => {{1,4,6},{2,3},{5}} {{1,4},{2,3,6},{5}} => {{1,4},{2,3,6},{5}} {{1,4},{2,3},{5,6}} => {{1,4},{2,3},{5,6}} {{1,4},{2,3},{5},{6}} => {{1,4},{2,3},{5},{6}} {{1,5,6},{2,3,4}} => {{1,5,6},{2,3,4}} {{1,5},{2,3,4,6}} => {{1,5},{2,3,4,6}} {{1,5},{2,3,4},{6}} => {{1,5},{2,3,4},{6}} {{1,6},{2,3,4,5}} => {{1,6},{2,3,4,5}} {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}} {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}} {{1,6},{2,3,4},{5}} => {{1,6},{2,3,4},{5}} {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}} {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}} {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}} {{1,5,6},{2,3},{4}} => {{1,5,6},{2,3},{4}} {{1,5},{2,3,6},{4}} => {{1,4,5},{2,3,6}} {{1,5},{2,3},{4,6}} => {{1,5},{2,3},{4,6}} {{1,5},{2,3},{4},{6}} => {{1,5},{2,3},{4},{6}} {{1,6},{2,3,5},{4}} => {{1,4,6},{2,3,5}} {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}} {{1},{2,3,5},{4,6}} => {{1},{2,3,5},{4,6}} {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}} {{1,6},{2,3},{4,5}} => {{1,6},{2,3},{4,5}} {{1},{2,3,6},{4,5}} => {{1},{2,3,6},{4,5}} {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}} {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} {{1,6},{2,3},{4},{5}} => {{1,6},{2,3},{4},{5}} {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}} {{1},{2,3},{4,6},{5}} => {{1},{2,3},{4,6},{5}} {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}} {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} {{1,4,5,6},{2},{3}} => {{1,2,3,5,6},{4}} {{1,4,5},{2,6},{3}} => {{1,3,5},{2,6},{4}} {{1,4,5},{2},{3,6}} => {{1,2,5},{3,6},{4}} {{1,4,5},{2},{3},{6}} => {{1,2,3,5},{4},{6}} {{1,4,6},{2,5},{3}} => {{1,3,6},{2,5},{4}} {{1,4},{2,5,6},{3}} => {{1,3,4},{2,5,6}} {{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} {{1,4},{2,5},{3},{6}} => {{1,3,4},{2,5},{6}} {{1,4,6},{2},{3,5}} => {{1,2,6},{3,5},{4}} {{1,4},{2,6},{3,5}} => {{1,4},{2,6},{3,5}} {{1,4},{2},{3,5,6}} => {{1,2,4},{3,5,6}} {{1,4},{2},{3,5},{6}} => {{1,2,4},{3,5},{6}} {{1,4,6},{2},{3},{5}} => {{1,2,3,6},{4},{5}} {{1,4},{2,6},{3},{5}} => {{1,3,4},{2,6},{5}} {{1,4},{2},{3,6},{5}} => {{1,2,4},{3,6},{5}} {{1,4},{2},{3},{5,6}} => {{1,2,3,4},{5,6}} {{1,4},{2},{3},{5},{6}} => {{1,2,3,4},{5},{6}} {{1,5,6},{2,4},{3}} => {{1,3,5,6},{2,4}} {{1,5},{2,4,6},{3}} => {{1,3,5},{2,4,6}} {{1,5},{2,4},{3,6}} => {{1,5},{2,4},{3,6}} {{1,5},{2,4},{3},{6}} => {{1,3,5},{2,4},{6}} {{1,6},{2,4,5},{3}} => {{1,3,6},{2,4,5}} {{1},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3}} {{1},{2,4,5},{3,6}} => {{1},{2,4,5},{3,6}} {{1},{2,4,5},{3},{6}} => {{1},{2,4,5},{3},{6}} {{1,6},{2,4},{3,5}} => {{1,6},{2,4},{3,5}} {{1},{2,4,6},{3,5}} => {{1},{2,4,6},{3,5}} {{1},{2,4},{3,5,6}} => {{1},{2,4},{3,5,6}} {{1},{2,4},{3,5},{6}} => {{1},{2,4},{3,5},{6}} {{1,6},{2,4},{3},{5}} => {{1,3,6},{2,4},{5}} {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} {{1},{2,4},{3},{5,6}} => {{1},{2,4},{3},{5,6}} {{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} {{1,5,6},{2},{3,4}} => {{1,2,5,6},{3,4}} {{1,5},{2,6},{3,4}} => {{1,5},{2,6},{3,4}} {{1,5},{2},{3,4,6}} => {{1,2,5},{3,4,6}} {{1,5},{2},{3,4},{6}} => {{1,2,5},{3,4},{6}} {{1,6},{2,5},{3,4}} => {{1,6},{2,5},{3,4}} {{1},{2,5,6},{3,4}} => {{1},{2,5,6},{3,4}} {{1},{2,5},{3,4,6}} => {{1},{2,5},{3,4,6}} {{1},{2,5},{3,4},{6}} => {{1},{2,5},{3,4},{6}} {{1,6},{2},{3,4,5}} => {{1,2,6},{3,4,5}} {{1},{2,6},{3,4,5}} => {{1},{2,6},{3,4,5}} {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}} {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}} {{1,6},{2},{3,4},{5}} => {{1,2,6},{3,4},{5}} {{1},{2,6},{3,4},{5}} => {{1},{2,6},{3,4},{5}} {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}} {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}} {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} {{1,5,6},{2},{3},{4}} => {{1,2,3,4,6},{5}} {{1,5},{2,6},{3},{4}} => {{1,3,4,5},{2,6}} {{1,5},{2},{3,6},{4}} => {{1,2,4,5},{3,6}} {{1,5},{2},{3},{4,6}} => {{1,2,3,5},{4,6}} {{1,5},{2},{3},{4},{6}} => {{1,2,3,4,5},{6}} {{1,6},{2,5},{3},{4}} => {{1,3,4,6},{2,5}} {{1},{2,5,6},{3},{4}} => {{1},{2,5,6},{3},{4}} {{1},{2,5},{3,6},{4}} => {{1},{2,5},{3,6},{4}} {{1},{2,5},{3},{4,6}} => {{1},{2,5},{3},{4,6}} {{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} {{1,6},{2},{3,5},{4}} => {{1,2,4,6},{3,5}} {{1},{2,6},{3,5},{4}} => {{1},{2,6},{3,5},{4}} {{1},{2},{3,5,6},{4}} => {{1},{2},{3,5,6},{4}} {{1},{2},{3,5},{4,6}} => {{1},{2},{3,5},{4,6}} {{1},{2},{3,5},{4},{6}} => {{1},{2},{3,5},{4},{6}} {{1,6},{2},{3},{4,5}} => {{1,2,3,6},{4,5}} {{1},{2,6},{3},{4,5}} => {{1},{2,6},{3},{4,5}} {{1},{2},{3,6},{4,5}} => {{1},{2},{3,6},{4,5}} {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}} {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}} {{1,6},{2},{3},{4},{5}} => {{1,2,3,4,5,6}} {{1},{2,6},{3},{4},{5}} => {{1},{2,6},{3},{4},{5}} {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} {{1},{2},{3},{4,6},{5}} => {{1},{2},{3},{4,6},{5}} {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}} {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}} {{1,2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} {{1,2,3,4,5,6},{7}} => {{1,6},{2},{3},{4},{5},{7}} {{1,2,3,4,5,7},{6}} => {{1,6,7},{2},{3},{4},{5}} {{1,2,3,4,5},{6,7}} => {{1,5},{2},{3},{4},{6,7}} {{1,2,3,4,5},{6},{7}} => {{1,5},{2},{3},{4},{6},{7}} {{1,2,3,4,6,7},{5}} => {{1,5,6,7},{2},{3},{4}} {{1,2,3,4,6},{5,7}} => {{1,6},{2},{3},{4},{5,7}} {{1,2,3,4,6},{5},{7}} => {{1,5,6},{2},{3},{4},{7}} {{1,2,3,4,7},{5,6}} => {{1,7},{2},{3},{4},{5,6}} {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} {{1,2,3,4},{5,6},{7}} => {{1,4},{2},{3},{5,6},{7}} {{1,2,3,4,7},{5},{6}} => {{1,5,7},{2},{3},{4},{6}} {{1,2,3,4},{5,7},{6}} => {{1,4},{2},{3},{5,7},{6}} {{1,2,3,4},{5},{6,7}} => {{1,4},{2},{3},{5},{6,7}} {{1,2,3,4},{5},{6},{7}} => {{1,4},{2},{3},{5},{6},{7}} {{1,2,3,5,6,7},{4}} => {{1,4,5,6,7},{2},{3}} {{1,2,3,5,6},{4,7}} => {{1,6},{2},{3},{4,7},{5}} {{1,2,3,5,6},{4},{7}} => {{1,4,5,6},{2},{3},{7}} {{1,2,3,5,7},{4,6}} => {{1,7},{2},{3},{4,6},{5}} {{1,2,3,5},{4,6,7}} => {{1,5},{2},{3},{4,6,7}} {{1,2,3,5},{4,6},{7}} => {{1,5},{2},{3},{4,6},{7}} {{1,2,3,5,7},{4},{6}} => {{1,4,5,7},{2},{3},{6}} {{1,2,3,5},{4,7},{6}} => {{1,5},{2},{3},{4,7},{6}} {{1,2,3,5},{4},{6,7}} => {{1,4,5},{2},{3},{6,7}} {{1,2,3,5},{4},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} {{1,2,3,6,7},{4,5}} => {{1,6,7},{2},{3},{4,5}} {{1,2,3,6},{4,5,7}} => {{1,6},{2},{3},{4,5,7}} {{1,2,3,6},{4,5},{7}} => {{1,6},{2},{3},{4,5},{7}} {{1,2,3,7},{4,5,6}} => {{1,7},{2},{3},{4,5,6}} {{1,2,3},{4,5,6,7}} => {{1,3},{2},{4,5,6,7}} {{1,2,3},{4,5,6},{7}} => {{1,3},{2},{4,5,6},{7}} {{1,2,3,7},{4,5},{6}} => {{1,7},{2},{3},{4,5},{6}} {{1,2,3},{4,5,7},{6}} => {{1,3},{2},{4,5,7},{6}} {{1,2,3},{4,5},{6,7}} => {{1,3},{2},{4,5},{6,7}} {{1,2,3},{4,5},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} {{1,2,3,6,7},{4},{5}} => {{1,4,6,7},{2},{3},{5}} {{1,2,3,6},{4,7},{5}} => {{1,5,6},{2},{3},{4,7}} {{1,2,3,6},{4},{5,7}} => {{1,4,6},{2},{3},{5,7}} {{1,2,3,6},{4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} {{1,2,3,7},{4,6},{5}} => {{1,5,7},{2},{3},{4,6}} {{1,2,3},{4,6,7},{5}} => {{1,3},{2},{4,6,7},{5}} {{1,2,3},{4,6},{5,7}} => {{1,3},{2},{4,6},{5,7}} {{1,2,3},{4,6},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} {{1,2,3,7},{4},{5,6}} => {{1,4,7},{2},{3},{5,6}} {{1,2,3},{4,7},{5,6}} => {{1,3},{2},{4,7},{5,6}} {{1,2,3},{4},{5,6,7}} => {{1,3},{2},{4},{5,6,7}} {{1,2,3},{4},{5,6},{7}} => {{1,3},{2},{4},{5,6},{7}} {{1,2,3,7},{4},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} {{1,2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} {{1,2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} {{1,2,3},{4},{5},{6,7}} => {{1,3},{2},{4},{5},{6,7}} {{1,2,3},{4},{5},{6},{7}} => {{1,3},{2},{4},{5},{6},{7}} {{1,2,4,5,6,7},{3}} => {{1,3,4,5,6,7},{2}} {{1,2,4,5,6},{3,7}} => {{1,6},{2},{3,7},{4},{5}} {{1,2,4,5,6},{3},{7}} => {{1,3,4,5,6},{2},{7}} {{1,2,4,5,7},{3,6}} => {{1,7},{2},{3,6},{4},{5}} {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} {{1,2,4,5},{3,6},{7}} => {{1,5},{2},{3,6},{4},{7}} {{1,2,4,5,7},{3},{6}} => {{1,3,4,5,7},{2},{6}} {{1,2,4,5},{3,7},{6}} => {{1,5},{2},{3,7},{4},{6}} {{1,2,4,5},{3},{6,7}} => {{1,3,4,5},{2},{6,7}} {{1,2,4,5},{3},{6},{7}} => {{1,3,4,5},{2},{6},{7}} {{1,2,4,6,7},{3,5}} => {{1,6,7},{2},{3,5},{4}} {{1,2,4,6},{3,5,7}} => {{1,6},{2},{3,5,7},{4}} {{1,2,4,6},{3,5},{7}} => {{1,6},{2},{3,5},{4},{7}} {{1,2,4,7},{3,5,6}} => {{1,7},{2},{3,5,6},{4}} {{1,2,4},{3,5,6,7}} => {{1,4},{2},{3,5,6,7}} {{1,2,4},{3,5,6},{7}} => {{1,4},{2},{3,5,6},{7}} {{1,2,4,7},{3,5},{6}} => {{1,7},{2},{3,5},{4},{6}} {{1,2,4},{3,5,7},{6}} => {{1,4},{2},{3,5,7},{6}} {{1,2,4},{3,5},{6,7}} => {{1,4},{2},{3,5},{6,7}} {{1,2,4},{3,5},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} {{1,2,4,6,7},{3},{5}} => {{1,3,4,6,7},{2},{5}} {{1,2,4,6},{3,7},{5}} => {{1,5,6},{2},{3,7},{4}} {{1,2,4,6},{3},{5,7}} => {{1,3,4,6},{2},{5,7}} {{1,2,4,6},{3},{5},{7}} => {{1,3,4,6},{2},{5},{7}} {{1,2,4,7},{3,6},{5}} => {{1,5,7},{2},{3,6},{4}} {{1,2,4},{3,6,7},{5}} => {{1,4},{2},{3,6,7},{5}} {{1,2,4},{3,6},{5,7}} => {{1,4},{2},{3,6},{5,7}} {{1,2,4},{3,6},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} {{1,2,4,7},{3},{5,6}} => {{1,3,4,7},{2},{5,6}} {{1,2,4},{3,7},{5,6}} => {{1,4},{2},{3,7},{5,6}} {{1,2,4},{3},{5,6,7}} => {{1,3,4},{2},{5,6,7}} {{1,2,4},{3},{5,6},{7}} => {{1,3,4},{2},{5,6},{7}} {{1,2,4,7},{3},{5},{6}} => {{1,3,4,7},{2},{5},{6}} {{1,2,4},{3,7},{5},{6}} => {{1,4},{2},{3,7},{5},{6}} {{1,2,4},{3},{5,7},{6}} => {{1,3,4},{2},{5,7},{6}} {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} {{1,2,4},{3},{5},{6},{7}} => {{1,3,4},{2},{5},{6},{7}} {{1,2,5,6,7},{3,4}} => {{1,5,6,7},{2},{3,4}} {{1,2,5,6},{3,4,7}} => {{1,6},{2},{3,4,7},{5}} {{1,2,5,6},{3,4},{7}} => {{1,5,6},{2},{3,4},{7}} {{1,2,5,7},{3,4,6}} => {{1,7},{2},{3,4,6},{5}} {{1,2,5},{3,4,6,7}} => {{1,5},{2},{3,4,6,7}} {{1,2,5},{3,4,6},{7}} => {{1,5},{2},{3,4,6},{7}} {{1,2,5,7},{3,4},{6}} => {{1,5,7},{2},{3,4},{6}} {{1,2,5},{3,4,7},{6}} => {{1,5},{2},{3,4,7},{6}} {{1,2,5},{3,4},{6,7}} => {{1,5},{2},{3,4},{6,7}} {{1,2,5},{3,4},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} {{1,2,6,7},{3,4,5}} => {{1,6,7},{2},{3,4,5}} {{1,2,6},{3,4,5,7}} => {{1,6},{2},{3,4,5,7}} {{1,2,6},{3,4,5},{7}} => {{1,6},{2},{3,4,5},{7}} {{1,2,7},{3,4,5,6}} => {{1,7},{2},{3,4,5,6}} {{1,2},{3,4,5,6,7}} => {{1,2},{3,4,5,6,7}} {{1,2},{3,4,5,6},{7}} => {{1,2},{3,4,5,6},{7}} {{1,2,7},{3,4,5},{6}} => {{1,7},{2},{3,4,5},{6}} {{1,2},{3,4,5,7},{6}} => {{1,2},{3,4,5,7},{6}} {{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} {{1,2},{3,4,5},{6},{7}} => {{1,2},{3,4,5},{6},{7}} {{1,2,6,7},{3,4},{5}} => {{1,6,7},{2},{3,4},{5}} {{1,2,6},{3,4,7},{5}} => {{1,5,6},{2},{3,4,7}} {{1,2,6},{3,4},{5,7}} => {{1,6},{2},{3,4},{5,7}} {{1,2,6},{3,4},{5},{7}} => {{1,6},{2},{3,4},{5},{7}} {{1,2,7},{3,4,6},{5}} => {{1,5,7},{2},{3,4,6}} {{1,2},{3,4,6,7},{5}} => {{1,2},{3,4,6,7},{5}} {{1,2},{3,4,6},{5,7}} => {{1,2},{3,4,6},{5,7}} {{1,2},{3,4,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} {{1,2,7},{3,4},{5,6}} => {{1,7},{2},{3,4},{5,6}} {{1,2},{3,4,7},{5,6}} => {{1,2},{3,4,7},{5,6}} {{1,2},{3,4},{5,6,7}} => {{1,2},{3,4},{5,6,7}} {{1,2},{3,4},{5,6},{7}} => {{1,2},{3,4},{5,6},{7}} {{1,2,7},{3,4},{5},{6}} => {{1,7},{2},{3,4},{5},{6}} {{1,2},{3,4,7},{5},{6}} => {{1,2},{3,4,7},{5},{6}} {{1,2},{3,4},{5,7},{6}} => {{1,2},{3,4},{5,7},{6}} {{1,2},{3,4},{5},{6,7}} => {{1,2},{3,4},{5},{6,7}} {{1,2},{3,4},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} {{1,2,5,6,7},{3},{4}} => {{1,3,5,6,7},{2},{4}} {{1,2,5,6},{3,7},{4}} => {{1,4,5,6},{2},{3,7}} {{1,2,5,6},{3},{4,7}} => {{1,3,5,6},{2},{4,7}} {{1,2,5,6},{3},{4},{7}} => {{1,3,5,6},{2},{4},{7}} {{1,2,5,7},{3,6},{4}} => {{1,4,5,7},{2},{3,6}} {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} {{1,2,5},{3,6},{4,7}} => {{1,5},{2},{3,6},{4,7}} {{1,2,5},{3,6},{4},{7}} => {{1,4,5},{2},{3,6},{7}} {{1,2,5,7},{3},{4,6}} => {{1,3,5,7},{2},{4,6}} {{1,2,5},{3,7},{4,6}} => {{1,5},{2},{3,7},{4,6}} {{1,2,5},{3},{4,6,7}} => {{1,3,5},{2},{4,6,7}} {{1,2,5},{3},{4,6},{7}} => {{1,3,5},{2},{4,6},{7}} {{1,2,5,7},{3},{4},{6}} => {{1,3,5,7},{2},{4},{6}} {{1,2,5},{3,7},{4},{6}} => {{1,4,5},{2},{3,7},{6}} {{1,2,5},{3},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} {{1,2,5},{3},{4},{6,7}} => {{1,3,5},{2},{4},{6,7}} {{1,2,5},{3},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} {{1,2,6,7},{3,5},{4}} => {{1,4,6,7},{2},{3,5}} {{1,2,6},{3,5,7},{4}} => {{1,4,6},{2},{3,5,7}} {{1,2,6},{3,5},{4,7}} => {{1,6},{2},{3,5},{4,7}} {{1,2,6},{3,5},{4},{7}} => {{1,4,6},{2},{3,5},{7}} {{1,2,7},{3,5,6},{4}} => {{1,4,7},{2},{3,5,6}} {{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,6,7},{4}} {{1,2},{3,5,6},{4,7}} => {{1,2},{3,5,6},{4,7}} {{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5,6},{4},{7}} {{1,2,7},{3,5},{4,6}} => {{1,7},{2},{3,5},{4,6}} {{1,2},{3,5,7},{4,6}} => {{1,2},{3,5,7},{4,6}} {{1,2},{3,5},{4,6,7}} => {{1,2},{3,5},{4,6,7}} {{1,2},{3,5},{4,6},{7}} => {{1,2},{3,5},{4,6},{7}} {{1,2,7},{3,5},{4},{6}} => {{1,4,7},{2},{3,5},{6}} {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} {{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} {{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}} {{1,2,6,7},{3},{4,5}} => {{1,3,6,7},{2},{4,5}} {{1,2,6},{3,7},{4,5}} => {{1,6},{2},{3,7},{4,5}} {{1,2,6},{3},{4,5,7}} => {{1,3,6},{2},{4,5,7}} {{1,2,6},{3},{4,5},{7}} => {{1,3,6},{2},{4,5},{7}} {{1,2,7},{3,6},{4,5}} => {{1,7},{2},{3,6},{4,5}} {{1,2},{3,6,7},{4,5}} => {{1,2},{3,6,7},{4,5}} {{1,2},{3,6},{4,5,7}} => {{1,2},{3,6},{4,5,7}} {{1,2},{3,6},{4,5},{7}} => {{1,2},{3,6},{4,5},{7}} {{1,2,7},{3},{4,5,6}} => {{1,3,7},{2},{4,5,6}} {{1,2},{3,7},{4,5,6}} => {{1,2},{3,7},{4,5,6}} {{1,2},{3},{4,5,6,7}} => {{1,2},{3},{4,5,6,7}} {{1,2},{3},{4,5,6},{7}} => {{1,2},{3},{4,5,6},{7}} {{1,2,7},{3},{4,5},{6}} => {{1,3,7},{2},{4,5},{6}} {{1,2},{3,7},{4,5},{6}} => {{1,2},{3,7},{4,5},{6}} {{1,2},{3},{4,5,7},{6}} => {{1,2},{3},{4,5,7},{6}} {{1,2},{3},{4,5},{6,7}} => {{1,2},{3},{4,5},{6,7}} {{1,2},{3},{4,5},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} {{1,2,6,7},{3},{4},{5}} => {{1,3,6,7},{2},{4},{5}} {{1,2,6},{3,7},{4},{5}} => {{1,4,6},{2},{3,7},{5}} {{1,2,6},{3},{4,7},{5}} => {{1,3,6},{2},{4,7},{5}} {{1,2,6},{3},{4},{5,7}} => {{1,3,6},{2},{4},{5,7}} {{1,2,6},{3},{4},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} {{1,2,7},{3,6},{4},{5}} => {{1,4,7},{2},{3,6},{5}} {{1,2},{3,6,7},{4},{5}} => {{1,2},{3,6,7},{4},{5}} {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,6},{4,7},{5}} {{1,2},{3,6},{4},{5,7}} => {{1,2},{3,6},{4},{5,7}} {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} {{1,2,7},{3},{4,6},{5}} => {{1,3,7},{2},{4,6},{5}} {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,7},{4,6},{5}} {{1,2},{3},{4,6,7},{5}} => {{1,2},{3},{4,6,7},{5}} {{1,2},{3},{4,6},{5,7}} => {{1,2},{3},{4,6},{5,7}} {{1,2},{3},{4,6},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} {{1,2,7},{3},{4},{5,6}} => {{1,3,7},{2},{4},{5,6}} {{1,2},{3,7},{4},{5,6}} => {{1,2},{3,7},{4},{5,6}} {{1,2},{3},{4,7},{5,6}} => {{1,2},{3},{4,7},{5,6}} {{1,2},{3},{4},{5,6,7}} => {{1,2},{3},{4},{5,6,7}} {{1,2},{3},{4},{5,6},{7}} => {{1,2},{3},{4},{5,6},{7}} {{1,2,7},{3},{4},{5},{6}} => {{1,3,7},{2},{4},{5},{6}} {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3,7},{4},{5},{6}} {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} {{1,2},{3},{4},{5,7},{6}} => {{1,2},{3},{4},{5,7},{6}} {{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} {{1,2},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7}} {{1,3,4,5,6,7},{2}} => {{1,2,4,5,6,7},{3}} {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} {{1,3,4,5,6},{2},{7}} => {{1,2,4,5,6},{3},{7}} {{1,3,4,5,7},{2,6}} => {{1,7},{2,6},{3},{4},{5}} {{1,3,4,5},{2,6,7}} => {{1,5},{2,6,7},{3},{4}} {{1,3,4,5},{2,6},{7}} => {{1,5},{2,6},{3},{4},{7}} {{1,3,4,5,7},{2},{6}} => {{1,2,4,5,7},{3},{6}} {{1,3,4,5},{2,7},{6}} => {{1,5},{2,7},{3},{4},{6}} {{1,3,4,5},{2},{6,7}} => {{1,2,4,5},{3},{6,7}} {{1,3,4,5},{2},{6},{7}} => {{1,2,4,5},{3},{6},{7}} {{1,3,4,6,7},{2,5}} => {{1,6,7},{2,5},{3},{4}} {{1,3,4,6},{2,5,7}} => {{1,6},{2,5,7},{3},{4}} {{1,3,4,6},{2,5},{7}} => {{1,6},{2,5},{3},{4},{7}} {{1,3,4,7},{2,5,6}} => {{1,7},{2,5,6},{3},{4}} {{1,3,4},{2,5,6,7}} => {{1,4},{2,5,6,7},{3}} {{1,3,4},{2,5,6},{7}} => {{1,4},{2,5,6},{3},{7}} {{1,3,4,7},{2,5},{6}} => {{1,7},{2,5},{3},{4},{6}} {{1,3,4},{2,5,7},{6}} => {{1,4},{2,5,7},{3},{6}} {{1,3,4},{2,5},{6,7}} => {{1,4},{2,5},{3},{6,7}} {{1,3,4},{2,5},{6},{7}} => {{1,4},{2,5},{3},{6},{7}} {{1,3,4,6,7},{2},{5}} => {{1,2,4,6,7},{3},{5}} {{1,3,4,6},{2,7},{5}} => {{1,5,6},{2,7},{3},{4}} {{1,3,4,6},{2},{5,7}} => {{1,2,4,6},{3},{5,7}} {{1,3,4,6},{2},{5},{7}} => {{1,2,4,6},{3},{5},{7}} {{1,3,4,7},{2,6},{5}} => {{1,5,7},{2,6},{3},{4}} {{1,3,4},{2,6,7},{5}} => {{1,4},{2,6,7},{3},{5}} {{1,3,4},{2,6},{5,7}} => {{1,4},{2,6},{3},{5,7}} {{1,3,4},{2,6},{5},{7}} => {{1,4},{2,6},{3},{5},{7}} {{1,3,4,7},{2},{5,6}} => {{1,2,4,7},{3},{5,6}} {{1,3,4},{2,7},{5,6}} => {{1,4},{2,7},{3},{5,6}} {{1,3,4},{2},{5,6,7}} => {{1,2,4},{3},{5,6,7}} {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} {{1,3,4,7},{2},{5},{6}} => {{1,2,4,7},{3},{5},{6}} {{1,3,4},{2,7},{5},{6}} => {{1,4},{2,7},{3},{5},{6}} {{1,3,4},{2},{5,7},{6}} => {{1,2,4},{3},{5,7},{6}} {{1,3,4},{2},{5},{6,7}} => {{1,2,4},{3},{5},{6,7}} {{1,3,4},{2},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}} {{1,3,5,6,7},{2,4}} => {{1,5,6,7},{2,4},{3}} {{1,3,5,6},{2,4,7}} => {{1,6},{2,4,7},{3},{5}} {{1,3,5,6},{2,4},{7}} => {{1,5,6},{2,4},{3},{7}} {{1,3,5,7},{2,4,6}} => {{1,7},{2,4,6},{3},{5}} {{1,3,5},{2,4,6,7}} => {{1,5},{2,4,6,7},{3}} {{1,3,5},{2,4,6},{7}} => {{1,5},{2,4,6},{3},{7}} {{1,3,5,7},{2,4},{6}} => {{1,5,7},{2,4},{3},{6}} {{1,3,5},{2,4,7},{6}} => {{1,5},{2,4,7},{3},{6}} {{1,3,5},{2,4},{6,7}} => {{1,5},{2,4},{3},{6,7}} {{1,3,5},{2,4},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} {{1,3,6,7},{2,4,5}} => {{1,6,7},{2,4,5},{3}} {{1,3,6},{2,4,5,7}} => {{1,6},{2,4,5,7},{3}} {{1,3,6},{2,4,5},{7}} => {{1,6},{2,4,5},{3},{7}} {{1,3,7},{2,4,5,6}} => {{1,7},{2,4,5,6},{3}} {{1,3},{2,4,5,6,7}} => {{1,3},{2,4,5,6,7}} {{1,3},{2,4,5,6},{7}} => {{1,3},{2,4,5,6},{7}} {{1,3,7},{2,4,5},{6}} => {{1,7},{2,4,5},{3},{6}} {{1,3},{2,4,5,7},{6}} => {{1,3},{2,4,5,7},{6}} {{1,3},{2,4,5},{6,7}} => {{1,3},{2,4,5},{6,7}} {{1,3},{2,4,5},{6},{7}} => {{1,3},{2,4,5},{6},{7}} {{1,3,6,7},{2,4},{5}} => {{1,6,7},{2,4},{3},{5}} {{1,3,6},{2,4,7},{5}} => {{1,5,6},{2,4,7},{3}} {{1,3,6},{2,4},{5,7}} => {{1,6},{2,4},{3},{5,7}} {{1,3,6},{2,4},{5},{7}} => {{1,6},{2,4},{3},{5},{7}} {{1,3,7},{2,4,6},{5}} => {{1,5,7},{2,4,6},{3}} {{1,3},{2,4,6,7},{5}} => {{1,3},{2,4,6,7},{5}} {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} {{1,3},{2,4,6},{5},{7}} => {{1,3},{2,4,6},{5},{7}} {{1,3,7},{2,4},{5,6}} => {{1,7},{2,4},{3},{5,6}} {{1,3},{2,4,7},{5,6}} => {{1,3},{2,4,7},{5,6}} {{1,3},{2,4},{5,6,7}} => {{1,3},{2,4},{5,6,7}} {{1,3},{2,4},{5,6},{7}} => {{1,3},{2,4},{5,6},{7}} {{1,3,7},{2,4},{5},{6}} => {{1,7},{2,4},{3},{5},{6}} {{1,3},{2,4,7},{5},{6}} => {{1,3},{2,4,7},{5},{6}} {{1,3},{2,4},{5,7},{6}} => {{1,3},{2,4},{5,7},{6}} {{1,3},{2,4},{5},{6,7}} => {{1,3},{2,4},{5},{6,7}} {{1,3},{2,4},{5},{6},{7}} => {{1,3},{2,4},{5},{6},{7}} {{1,3,5,6,7},{2},{4}} => {{1,2,5,6,7},{3},{4}} {{1,3,5,6},{2,7},{4}} => {{1,4,5,6},{2,7},{3}} {{1,3,5,6},{2},{4,7}} => {{1,2,5,6},{3},{4,7}} {{1,3,5,6},{2},{4},{7}} => {{1,2,5,6},{3},{4},{7}} {{1,3,5,7},{2,6},{4}} => {{1,4,5,7},{2,6},{3}} {{1,3,5},{2,6,7},{4}} => {{1,4,5},{2,6,7},{3}} {{1,3,5},{2,6},{4,7}} => {{1,5},{2,6},{3},{4,7}} {{1,3,5},{2,6},{4},{7}} => {{1,4,5},{2,6},{3},{7}} {{1,3,5,7},{2},{4,6}} => {{1,2,5,7},{3},{4,6}} {{1,3,5},{2,7},{4,6}} => {{1,5},{2,7},{3},{4,6}} {{1,3,5},{2},{4,6,7}} => {{1,2,5},{3},{4,6,7}} {{1,3,5},{2},{4,6},{7}} => {{1,2,5},{3},{4,6},{7}} {{1,3,5,7},{2},{4},{6}} => {{1,2,5,7},{3},{4},{6}} {{1,3,5},{2,7},{4},{6}} => {{1,4,5},{2,7},{3},{6}} {{1,3,5},{2},{4,7},{6}} => {{1,2,5},{3},{4,7},{6}} {{1,3,5},{2},{4},{6,7}} => {{1,2,5},{3},{4},{6,7}} {{1,3,5},{2},{4},{6},{7}} => {{1,2,5},{3},{4},{6},{7}} {{1,3,6,7},{2,5},{4}} => {{1,4,6,7},{2,5},{3}} {{1,3,6},{2,5,7},{4}} => {{1,4,6},{2,5,7},{3}} {{1,3,6},{2,5},{4,7}} => {{1,6},{2,5},{3},{4,7}} {{1,3,6},{2,5},{4},{7}} => {{1,4,6},{2,5},{3},{7}} {{1,3,7},{2,5,6},{4}} => {{1,4,7},{2,5,6},{3}} {{1,3},{2,5,6,7},{4}} => {{1,3},{2,5,6,7},{4}} {{1,3},{2,5,6},{4,7}} => {{1,3},{2,5,6},{4,7}} {{1,3},{2,5,6},{4},{7}} => {{1,3},{2,5,6},{4},{7}} {{1,3,7},{2,5},{4,6}} => {{1,7},{2,5},{3},{4,6}} {{1,3},{2,5,7},{4,6}} => {{1,3},{2,5,7},{4,6}} {{1,3},{2,5},{4,6,7}} => {{1,3},{2,5},{4,6,7}} {{1,3},{2,5},{4,6},{7}} => {{1,3},{2,5},{4,6},{7}} {{1,3,7},{2,5},{4},{6}} => {{1,4,7},{2,5},{3},{6}} {{1,3},{2,5,7},{4},{6}} => {{1,3},{2,5,7},{4},{6}} {{1,3},{2,5},{4,7},{6}} => {{1,3},{2,5},{4,7},{6}} {{1,3},{2,5},{4},{6,7}} => {{1,3},{2,5},{4},{6,7}} {{1,3},{2,5},{4},{6},{7}} => {{1,3},{2,5},{4},{6},{7}} {{1,3,6,7},{2},{4,5}} => {{1,2,6,7},{3},{4,5}} {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3},{4,5}} {{1,3,6},{2},{4,5,7}} => {{1,2,6},{3},{4,5,7}} {{1,3,6},{2},{4,5},{7}} => {{1,2,6},{3},{4,5},{7}} {{1,3,7},{2,6},{4,5}} => {{1,7},{2,6},{3},{4,5}} {{1,3},{2,6,7},{4,5}} => {{1,3},{2,6,7},{4,5}} {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4,5,7}} {{1,3},{2,6},{4,5},{7}} => {{1,3},{2,6},{4,5},{7}} {{1,3,7},{2},{4,5,6}} => {{1,2,7},{3},{4,5,6}} {{1,3},{2,7},{4,5,6}} => {{1,3},{2,7},{4,5,6}} {{1,3},{2},{4,5,6,7}} => {{1,2,3},{4,5,6,7}} {{1,3},{2},{4,5,6},{7}} => {{1,2,3},{4,5,6},{7}} {{1,3,7},{2},{4,5},{6}} => {{1,2,7},{3},{4,5},{6}} {{1,3},{2,7},{4,5},{6}} => {{1,3},{2,7},{4,5},{6}} {{1,3},{2},{4,5,7},{6}} => {{1,2,3},{4,5,7},{6}} {{1,3},{2},{4,5},{6,7}} => {{1,2,3},{4,5},{6,7}} {{1,3},{2},{4,5},{6},{7}} => {{1,2,3},{4,5},{6},{7}} {{1,3,6,7},{2},{4},{5}} => {{1,2,6,7},{3},{4},{5}} {{1,3,6},{2,7},{4},{5}} => {{1,4,6},{2,7},{3},{5}} {{1,3,6},{2},{4,7},{5}} => {{1,2,6},{3},{4,7},{5}} {{1,3,6},{2},{4},{5,7}} => {{1,2,6},{3},{4},{5,7}} {{1,3,6},{2},{4},{5},{7}} => {{1,2,6},{3},{4},{5},{7}} {{1,3,7},{2,6},{4},{5}} => {{1,4,7},{2,6},{3},{5}} {{1,3},{2,6,7},{4},{5}} => {{1,3},{2,6,7},{4},{5}} {{1,3},{2,6},{4,7},{5}} => {{1,3},{2,6},{4,7},{5}} {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4},{5,7}} {{1,3},{2,6},{4},{5},{7}} => {{1,3},{2,6},{4},{5},{7}} {{1,3,7},{2},{4,6},{5}} => {{1,2,7},{3},{4,6},{5}} {{1,3},{2,7},{4,6},{5}} => {{1,3},{2,7},{4,6},{5}} {{1,3},{2},{4,6,7},{5}} => {{1,2,3},{4,6,7},{5}} {{1,3},{2},{4,6},{5,7}} => {{1,2,3},{4,6},{5,7}} {{1,3},{2},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} {{1,3,7},{2},{4},{5,6}} => {{1,2,7},{3},{4},{5,6}} {{1,3},{2,7},{4},{5,6}} => {{1,3},{2,7},{4},{5,6}} {{1,3},{2},{4,7},{5,6}} => {{1,2,3},{4,7},{5,6}} {{1,3},{2},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} {{1,3},{2},{4},{5,6},{7}} => {{1,2,3},{4},{5,6},{7}} {{1,3,7},{2},{4},{5},{6}} => {{1,2,7},{3},{4},{5},{6}} {{1,3},{2,7},{4},{5},{6}} => {{1,3},{2,7},{4},{5},{6}} {{1,3},{2},{4,7},{5},{6}} => {{1,2,3},{4,7},{5},{6}} {{1,3},{2},{4},{5,7},{6}} => {{1,2,3},{4},{5,7},{6}} {{1,3},{2},{4},{5},{6,7}} => {{1,2,3},{4},{5},{6,7}} {{1,3},{2},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} {{1,4,5,6,7},{2,3}} => {{1,4,5,6,7},{2,3}} {{1,4,5,6},{2,3,7}} => {{1,6},{2,3,7},{4},{5}} {{1,4,5,6},{2,3},{7}} => {{1,4,5,6},{2,3},{7}} {{1,4,5,7},{2,3,6}} => {{1,7},{2,3,6},{4},{5}} {{1,4,5},{2,3,6,7}} => {{1,5},{2,3,6,7},{4}} {{1,4,5},{2,3,6},{7}} => {{1,5},{2,3,6},{4},{7}} {{1,4,5,7},{2,3},{6}} => {{1,4,5,7},{2,3},{6}} {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} {{1,4,5},{2,3},{6,7}} => {{1,4,5},{2,3},{6,7}} {{1,4,5},{2,3},{6},{7}} => {{1,4,5},{2,3},{6},{7}} {{1,4,6,7},{2,3,5}} => {{1,6,7},{2,3,5},{4}} {{1,4,6},{2,3,5,7}} => {{1,6},{2,3,5,7},{4}} {{1,4,6},{2,3,5},{7}} => {{1,6},{2,3,5},{4},{7}} {{1,4,7},{2,3,5,6}} => {{1,7},{2,3,5,6},{4}} {{1,4},{2,3,5,6,7}} => {{1,4},{2,3,5,6,7}} {{1,4},{2,3,5,6},{7}} => {{1,4},{2,3,5,6},{7}} {{1,4,7},{2,3,5},{6}} => {{1,7},{2,3,5},{4},{6}} {{1,4},{2,3,5,7},{6}} => {{1,4},{2,3,5,7},{6}} {{1,4},{2,3,5},{6,7}} => {{1,4},{2,3,5},{6,7}} {{1,4},{2,3,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} {{1,4,6,7},{2,3},{5}} => {{1,4,6,7},{2,3},{5}} {{1,4,6},{2,3,7},{5}} => {{1,5,6},{2,3,7},{4}} {{1,4,6},{2,3},{5,7}} => {{1,4,6},{2,3},{5,7}} {{1,4,6},{2,3},{5},{7}} => {{1,4,6},{2,3},{5},{7}} {{1,4,7},{2,3,6},{5}} => {{1,5,7},{2,3,6},{4}} {{1,4},{2,3,6,7},{5}} => {{1,4},{2,3,6,7},{5}} {{1,4},{2,3,6},{5,7}} => {{1,4},{2,3,6},{5,7}} {{1,4},{2,3,6},{5},{7}} => {{1,4},{2,3,6},{5},{7}} {{1,4,7},{2,3},{5,6}} => {{1,4,7},{2,3},{5,6}} {{1,4},{2,3,7},{5,6}} => {{1,4},{2,3,7},{5,6}} {{1,4},{2,3},{5,6,7}} => {{1,4},{2,3},{5,6,7}} {{1,4},{2,3},{5,6},{7}} => {{1,4},{2,3},{5,6},{7}} {{1,4,7},{2,3},{5},{6}} => {{1,4,7},{2,3},{5},{6}} {{1,4},{2,3,7},{5},{6}} => {{1,4},{2,3,7},{5},{6}} {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} {{1,4},{2,3},{5},{6,7}} => {{1,4},{2,3},{5},{6,7}} {{1,4},{2,3},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} {{1,5,6,7},{2,3,4}} => {{1,5,6,7},{2,3,4}} {{1,5,6},{2,3,4,7}} => {{1,6},{2,3,4,7},{5}} {{1,5,6},{2,3,4},{7}} => {{1,5,6},{2,3,4},{7}} {{1,5,7},{2,3,4,6}} => {{1,7},{2,3,4,6},{5}} {{1,5},{2,3,4,6,7}} => {{1,5},{2,3,4,6,7}} {{1,5},{2,3,4,6},{7}} => {{1,5},{2,3,4,6},{7}} {{1,5,7},{2,3,4},{6}} => {{1,5,7},{2,3,4},{6}} {{1,5},{2,3,4,7},{6}} => {{1,5},{2,3,4,7},{6}} {{1,5},{2,3,4},{6,7}} => {{1,5},{2,3,4},{6,7}} {{1,5},{2,3,4},{6},{7}} => {{1,5},{2,3,4},{6},{7}} {{1,6,7},{2,3,4,5}} => {{1,6,7},{2,3,4,5}} {{1,6},{2,3,4,5,7}} => {{1,6},{2,3,4,5,7}} {{1,6},{2,3,4,5},{7}} => {{1,6},{2,3,4,5},{7}} {{1,7},{2,3,4,5,6}} => {{1,7},{2,3,4,5,6}} {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}} {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}} {{1,7},{2,3,4,5},{6}} => {{1,7},{2,3,4,5},{6}} {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}} {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}} {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}} {{1,6,7},{2,3,4},{5}} => {{1,6,7},{2,3,4},{5}} {{1,6},{2,3,4,7},{5}} => {{1,5,6},{2,3,4,7}} {{1,6},{2,3,4},{5,7}} => {{1,6},{2,3,4},{5,7}} {{1,6},{2,3,4},{5},{7}} => {{1,6},{2,3,4},{5},{7}} {{1,7},{2,3,4,6},{5}} => {{1,5,7},{2,3,4,6}} {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}} {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,6},{5,7}} {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} {{1,7},{2,3,4},{5,6}} => {{1,7},{2,3,4},{5,6}} {{1},{2,3,4,7},{5,6}} => {{1},{2,3,4,7},{5,6}} {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}} {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}} {{1,7},{2,3,4},{5},{6}} => {{1,7},{2,3,4},{5},{6}} {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}} {{1},{2,3,4},{5,7},{6}} => {{1},{2,3,4},{5,7},{6}} {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}} {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} {{1,5,6,7},{2,3},{4}} => {{1,5,6,7},{2,3},{4}} {{1,5,6},{2,3,7},{4}} => {{1,4,6},{2,3,7},{5}} {{1,5,6},{2,3},{4,7}} => {{1,5,6},{2,3},{4,7}} {{1,5,6},{2,3},{4},{7}} => {{1,5,6},{2,3},{4},{7}} {{1,5,7},{2,3,6},{4}} => {{1,4,7},{2,3,6},{5}} {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2,3,6,7}} {{1,5},{2,3,6},{4,7}} => {{1,5},{2,3,6},{4,7}} {{1,5},{2,3,6},{4},{7}} => {{1,4,5},{2,3,6},{7}} {{1,5,7},{2,3},{4,6}} => {{1,5,7},{2,3},{4,6}} {{1,5},{2,3,7},{4,6}} => {{1,5},{2,3,7},{4,6}} {{1,5},{2,3},{4,6,7}} => {{1,5},{2,3},{4,6,7}} {{1,5},{2,3},{4,6},{7}} => {{1,5},{2,3},{4,6},{7}} {{1,5,7},{2,3},{4},{6}} => {{1,5,7},{2,3},{4},{6}} {{1,5},{2,3,7},{4},{6}} => {{1,4,5},{2,3,7},{6}} {{1,5},{2,3},{4,7},{6}} => {{1,5},{2,3},{4,7},{6}} {{1,5},{2,3},{4},{6,7}} => {{1,5},{2,3},{4},{6,7}} {{1,5},{2,3},{4},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} {{1,6,7},{2,3,5},{4}} => {{1,4,6,7},{2,3,5}} {{1,6},{2,3,5,7},{4}} => {{1,4,6},{2,3,5,7}} {{1,6},{2,3,5},{4,7}} => {{1,6},{2,3,5},{4,7}} {{1,6},{2,3,5},{4},{7}} => {{1,4,6},{2,3,5},{7}} {{1,7},{2,3,5,6},{4}} => {{1,4,7},{2,3,5,6}} {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}} {{1},{2,3,5,6},{4,7}} => {{1},{2,3,5,6},{4,7}} {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}} {{1,7},{2,3,5},{4,6}} => {{1,7},{2,3,5},{4,6}} {{1},{2,3,5,7},{4,6}} => {{1},{2,3,5,7},{4,6}} {{1},{2,3,5},{4,6,7}} => {{1},{2,3,5},{4,6,7}} {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,5},{4,6},{7}} {{1,7},{2,3,5},{4},{6}} => {{1,4,7},{2,3,5},{6}} {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}} {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} {{1,6,7},{2,3},{4,5}} => {{1,6,7},{2,3},{4,5}} {{1,6},{2,3,7},{4,5}} => {{1,6},{2,3,7},{4,5}} {{1,6},{2,3},{4,5,7}} => {{1,6},{2,3},{4,5,7}} {{1,6},{2,3},{4,5},{7}} => {{1,6},{2,3},{4,5},{7}} {{1,7},{2,3,6},{4,5}} => {{1,7},{2,3,6},{4,5}} {{1},{2,3,6,7},{4,5}} => {{1},{2,3,6,7},{4,5}} {{1},{2,3,6},{4,5,7}} => {{1},{2,3,6},{4,5,7}} {{1},{2,3,6},{4,5},{7}} => {{1},{2,3,6},{4,5},{7}} {{1,7},{2,3},{4,5,6}} => {{1,7},{2,3},{4,5,6}} {{1},{2,3,7},{4,5,6}} => {{1},{2,3,7},{4,5,6}} {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}} {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}} {{1,7},{2,3},{4,5},{6}} => {{1,7},{2,3},{4,5},{6}} {{1},{2,3,7},{4,5},{6}} => {{1},{2,3,7},{4,5},{6}} {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}} {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}} {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} {{1,6,7},{2,3},{4},{5}} => {{1,6,7},{2,3},{4},{5}} {{1,6},{2,3,7},{4},{5}} => {{1,4,5,6},{2,3,7}} {{1,6},{2,3},{4,7},{5}} => {{1,6},{2,3},{4,7},{5}} {{1,6},{2,3},{4},{5,7}} => {{1,6},{2,3},{4},{5,7}} {{1,6},{2,3},{4},{5},{7}} => {{1,6},{2,3},{4},{5},{7}} {{1,7},{2,3,6},{4},{5}} => {{1,4,5,7},{2,3,6}} {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}} {{1},{2,3,6},{4,7},{5}} => {{1},{2,3,6},{4,7},{5}} {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,6},{4},{5,7}} {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} {{1,7},{2,3},{4,6},{5}} => {{1,7},{2,3},{4,6},{5}} {{1},{2,3,7},{4,6},{5}} => {{1},{2,3,7},{4,6},{5}} {{1},{2,3},{4,6,7},{5}} => {{1},{2,3},{4,6,7},{5}} {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,6},{5,7}} {{1},{2,3},{4,6},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} {{1,7},{2,3},{4},{5,6}} => {{1,7},{2,3},{4},{5,6}} {{1},{2,3,7},{4},{5,6}} => {{1},{2,3,7},{4},{5,6}} {{1},{2,3},{4,7},{5,6}} => {{1},{2,3},{4,7},{5,6}} {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}} {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} {{1,7},{2,3},{4},{5},{6}} => {{1,7},{2,3},{4},{5},{6}} {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}} {{1},{2,3},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} {{1},{2,3},{4},{5,7},{6}} => {{1},{2,3},{4},{5,7},{6}} {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}} {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}} {{1,4,5,6,7},{2},{3}} => {{1,2,3,5,6,7},{4}} {{1,4,5,6},{2,7},{3}} => {{1,3,5,6},{2,7},{4}} {{1,4,5,6},{2},{3,7}} => {{1,2,5,6},{3,7},{4}} {{1,4,5,6},{2},{3},{7}} => {{1,2,3,5,6},{4},{7}} {{1,4,5,7},{2,6},{3}} => {{1,3,5,7},{2,6},{4}} {{1,4,5},{2,6,7},{3}} => {{1,3,5},{2,6,7},{4}} {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} {{1,4,5},{2,6},{3},{7}} => {{1,3,5},{2,6},{4},{7}} {{1,4,5,7},{2},{3,6}} => {{1,2,5,7},{3,6},{4}} {{1,4,5},{2,7},{3,6}} => {{1,5},{2,7},{3,6},{4}} {{1,4,5},{2},{3,6,7}} => {{1,2,5},{3,6,7},{4}} {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} {{1,4,5,7},{2},{3},{6}} => {{1,2,3,5,7},{4},{6}} {{1,4,5},{2,7},{3},{6}} => {{1,3,5},{2,7},{4},{6}} {{1,4,5},{2},{3,7},{6}} => {{1,2,5},{3,7},{4},{6}} {{1,4,5},{2},{3},{6,7}} => {{1,2,3,5},{4},{6,7}} {{1,4,5},{2},{3},{6},{7}} => {{1,2,3,5},{4},{6},{7}} {{1,4,6,7},{2,5},{3}} => {{1,3,6,7},{2,5},{4}} {{1,4,6},{2,5,7},{3}} => {{1,3,6},{2,5,7},{4}} {{1,4,6},{2,5},{3,7}} => {{1,6},{2,5},{3,7},{4}} {{1,4,6},{2,5},{3},{7}} => {{1,3,6},{2,5},{4},{7}} {{1,4,7},{2,5,6},{3}} => {{1,3,7},{2,5,6},{4}} {{1,4},{2,5,6,7},{3}} => {{1,3,4},{2,5,6,7}} {{1,4},{2,5,6},{3,7}} => {{1,4},{2,5,6},{3,7}} {{1,4},{2,5,6},{3},{7}} => {{1,3,4},{2,5,6},{7}} {{1,4,7},{2,5},{3,6}} => {{1,7},{2,5},{3,6},{4}} {{1,4},{2,5,7},{3,6}} => {{1,4},{2,5,7},{3,6}} {{1,4},{2,5},{3,6,7}} => {{1,4},{2,5},{3,6,7}} {{1,4},{2,5},{3,6},{7}} => {{1,4},{2,5},{3,6},{7}} {{1,4,7},{2,5},{3},{6}} => {{1,3,7},{2,5},{4},{6}} {{1,4},{2,5,7},{3},{6}} => {{1,3,4},{2,5,7},{6}} {{1,4},{2,5},{3,7},{6}} => {{1,4},{2,5},{3,7},{6}} {{1,4},{2,5},{3},{6,7}} => {{1,3,4},{2,5},{6,7}} {{1,4},{2,5},{3},{6},{7}} => {{1,3,4},{2,5},{6},{7}} {{1,4,6,7},{2},{3,5}} => {{1,2,6,7},{3,5},{4}} {{1,4,6},{2,7},{3,5}} => {{1,6},{2,7},{3,5},{4}} {{1,4,6},{2},{3,5,7}} => {{1,2,6},{3,5,7},{4}} {{1,4,6},{2},{3,5},{7}} => {{1,2,6},{3,5},{4},{7}} {{1,4,7},{2,6},{3,5}} => {{1,7},{2,6},{3,5},{4}} {{1,4},{2,6,7},{3,5}} => {{1,4},{2,6,7},{3,5}} {{1,4},{2,6},{3,5,7}} => {{1,4},{2,6},{3,5,7}} {{1,4},{2,6},{3,5},{7}} => {{1,4},{2,6},{3,5},{7}} {{1,4,7},{2},{3,5,6}} => {{1,2,7},{3,5,6},{4}} {{1,4},{2,7},{3,5,6}} => {{1,4},{2,7},{3,5,6}} {{1,4},{2},{3,5,6,7}} => {{1,2,4},{3,5,6,7}} {{1,4},{2},{3,5,6},{7}} => {{1,2,4},{3,5,6},{7}} {{1,4,7},{2},{3,5},{6}} => {{1,2,7},{3,5},{4},{6}} {{1,4},{2,7},{3,5},{6}} => {{1,4},{2,7},{3,5},{6}} {{1,4},{2},{3,5,7},{6}} => {{1,2,4},{3,5,7},{6}} {{1,4},{2},{3,5},{6,7}} => {{1,2,4},{3,5},{6,7}} {{1,4},{2},{3,5},{6},{7}} => {{1,2,4},{3,5},{6},{7}} {{1,4,6,7},{2},{3},{5}} => {{1,2,3,6,7},{4},{5}} {{1,4,6},{2,7},{3},{5}} => {{1,3,6},{2,7},{4},{5}} {{1,4,6},{2},{3,7},{5}} => {{1,2,6},{3,7},{4},{5}} {{1,4,6},{2},{3},{5,7}} => {{1,2,3,6},{4},{5,7}} {{1,4,6},{2},{3},{5},{7}} => {{1,2,3,6},{4},{5},{7}} {{1,4,7},{2,6},{3},{5}} => {{1,3,7},{2,6},{4},{5}} {{1,4},{2,6,7},{3},{5}} => {{1,3,4},{2,6,7},{5}} {{1,4},{2,6},{3,7},{5}} => {{1,4},{2,6},{3,7},{5}} {{1,4},{2,6},{3},{5,7}} => {{1,3,4},{2,6},{5,7}} {{1,4},{2,6},{3},{5},{7}} => {{1,3,4},{2,6},{5},{7}} {{1,4,7},{2},{3,6},{5}} => {{1,2,7},{3,6},{4},{5}} {{1,4},{2,7},{3,6},{5}} => {{1,4},{2,7},{3,6},{5}} {{1,4},{2},{3,6,7},{5}} => {{1,2,4},{3,6,7},{5}} {{1,4},{2},{3,6},{5,7}} => {{1,2,4},{3,6},{5,7}} {{1,4},{2},{3,6},{5},{7}} => {{1,2,4},{3,6},{5},{7}} {{1,4,7},{2},{3},{5,6}} => {{1,2,3,7},{4},{5,6}} {{1,4},{2,7},{3},{5,6}} => {{1,3,4},{2,7},{5,6}} {{1,4},{2},{3,7},{5,6}} => {{1,2,4},{3,7},{5,6}} {{1,4},{2},{3},{5,6,7}} => {{1,2,3,4},{5,6,7}} {{1,4},{2},{3},{5,6},{7}} => {{1,2,3,4},{5,6},{7}} {{1,4,7},{2},{3},{5},{6}} => {{1,2,3,7},{4},{5},{6}} {{1,4},{2,7},{3},{5},{6}} => {{1,3,4},{2,7},{5},{6}} {{1,4},{2},{3,7},{5},{6}} => {{1,2,4},{3,7},{5},{6}} {{1,4},{2},{3},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} {{1,4},{2},{3},{5},{6,7}} => {{1,2,3,4},{5},{6,7}} {{1,4},{2},{3},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} {{1,5,6,7},{2,4},{3}} => {{1,3,5,6,7},{2,4}} {{1,5,6},{2,4,7},{3}} => {{1,3,6},{2,4,7},{5}} {{1,5,6},{2,4},{3,7}} => {{1,5,6},{2,4},{3,7}} {{1,5,6},{2,4},{3},{7}} => {{1,3,5,6},{2,4},{7}} {{1,5,7},{2,4,6},{3}} => {{1,3,7},{2,4,6},{5}} {{1,5},{2,4,6,7},{3}} => {{1,3,5},{2,4,6,7}} {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} {{1,5},{2,4,6},{3},{7}} => {{1,3,5},{2,4,6},{7}} {{1,5,7},{2,4},{3,6}} => {{1,5,7},{2,4},{3,6}} {{1,5},{2,4,7},{3,6}} => {{1,5},{2,4,7},{3,6}} {{1,5},{2,4},{3,6,7}} => {{1,5},{2,4},{3,6,7}} {{1,5},{2,4},{3,6},{7}} => {{1,5},{2,4},{3,6},{7}} {{1,5,7},{2,4},{3},{6}} => {{1,3,5,7},{2,4},{6}} {{1,5},{2,4,7},{3},{6}} => {{1,3,5},{2,4,7},{6}} {{1,5},{2,4},{3,7},{6}} => {{1,5},{2,4},{3,7},{6}} {{1,5},{2,4},{3},{6,7}} => {{1,3,5},{2,4},{6,7}} {{1,5},{2,4},{3},{6},{7}} => {{1,3,5},{2,4},{6},{7}} {{1,6,7},{2,4,5},{3}} => {{1,3,6,7},{2,4,5}} {{1,6},{2,4,5,7},{3}} => {{1,3,6},{2,4,5,7}} {{1,6},{2,4,5},{3,7}} => {{1,6},{2,4,5},{3,7}} {{1,6},{2,4,5},{3},{7}} => {{1,3,6},{2,4,5},{7}} {{1,7},{2,4,5,6},{3}} => {{1,3,7},{2,4,5,6}} {{1},{2,4,5,6,7},{3}} => {{1},{2,4,5,6,7},{3}} {{1},{2,4,5,6},{3,7}} => {{1},{2,4,5,6},{3,7}} {{1},{2,4,5,6},{3},{7}} => {{1},{2,4,5,6},{3},{7}} {{1,7},{2,4,5},{3,6}} => {{1,7},{2,4,5},{3,6}} {{1},{2,4,5,7},{3,6}} => {{1},{2,4,5,7},{3,6}} {{1},{2,4,5},{3,6,7}} => {{1},{2,4,5},{3,6,7}} {{1},{2,4,5},{3,6},{7}} => {{1},{2,4,5},{3,6},{7}} {{1,7},{2,4,5},{3},{6}} => {{1,3,7},{2,4,5},{6}} {{1},{2,4,5,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} {{1},{2,4,5},{3},{6,7}} => {{1},{2,4,5},{3},{6,7}} {{1},{2,4,5},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} {{1,6,7},{2,4},{3,5}} => {{1,6,7},{2,4},{3,5}} {{1,6},{2,4,7},{3,5}} => {{1,6},{2,4,7},{3,5}} {{1,6},{2,4},{3,5,7}} => {{1,6},{2,4},{3,5,7}} {{1,6},{2,4},{3,5},{7}} => {{1,6},{2,4},{3,5},{7}} {{1,7},{2,4,6},{3,5}} => {{1,7},{2,4,6},{3,5}} {{1},{2,4,6,7},{3,5}} => {{1},{2,4,6,7},{3,5}} {{1},{2,4,6},{3,5,7}} => {{1},{2,4,6},{3,5,7}} {{1},{2,4,6},{3,5},{7}} => {{1},{2,4,6},{3,5},{7}} {{1,7},{2,4},{3,5,6}} => {{1,7},{2,4},{3,5,6}} {{1},{2,4,7},{3,5,6}} => {{1},{2,4,7},{3,5,6}} {{1},{2,4},{3,5,6,7}} => {{1},{2,4},{3,5,6,7}} {{1},{2,4},{3,5,6},{7}} => {{1},{2,4},{3,5,6},{7}} {{1,7},{2,4},{3,5},{6}} => {{1,7},{2,4},{3,5},{6}} {{1},{2,4,7},{3,5},{6}} => {{1},{2,4,7},{3,5},{6}} {{1},{2,4},{3,5,7},{6}} => {{1},{2,4},{3,5,7},{6}} {{1},{2,4},{3,5},{6,7}} => {{1},{2,4},{3,5},{6,7}} {{1},{2,4},{3,5},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} {{1,6,7},{2,4},{3},{5}} => {{1,3,6,7},{2,4},{5}} {{1,6},{2,4,7},{3},{5}} => {{1,3,5,6},{2,4,7}} {{1,6},{2,4},{3,7},{5}} => {{1,6},{2,4},{3,7},{5}} {{1,6},{2,4},{3},{5,7}} => {{1,3,6},{2,4},{5,7}} {{1,6},{2,4},{3},{5},{7}} => {{1,3,6},{2,4},{5},{7}} {{1,7},{2,4,6},{3},{5}} => {{1,3,5,7},{2,4,6}} {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6,7},{3},{5}} {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} {{1},{2,4,6},{3},{5,7}} => {{1},{2,4,6},{3},{5,7}} {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} {{1,7},{2,4},{3,6},{5}} => {{1,7},{2,4},{3,6},{5}} {{1},{2,4,7},{3,6},{5}} => {{1},{2,4,7},{3,6},{5}} {{1},{2,4},{3,6,7},{5}} => {{1},{2,4},{3,6,7},{5}} {{1},{2,4},{3,6},{5,7}} => {{1},{2,4},{3,6},{5,7}} {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} {{1,7},{2,4},{3},{5,6}} => {{1,3,7},{2,4},{5,6}} {{1},{2,4,7},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} {{1},{2,4},{3,7},{5,6}} => {{1},{2,4},{3,7},{5,6}} {{1},{2,4},{3},{5,6,7}} => {{1},{2,4},{3},{5,6,7}} {{1},{2,4},{3},{5,6},{7}} => {{1},{2,4},{3},{5,6},{7}} {{1,7},{2,4},{3},{5},{6}} => {{1,3,7},{2,4},{5},{6}} {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4},{3,7},{5},{6}} {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3},{5,7},{6}} {{1},{2,4},{3},{5},{6,7}} => {{1},{2,4},{3},{5},{6,7}} {{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} {{1,5,6,7},{2},{3,4}} => {{1,2,5,6,7},{3,4}} {{1,5,6},{2,7},{3,4}} => {{1,5,6},{2,7},{3,4}} {{1,5,6},{2},{3,4,7}} => {{1,2,6},{3,4,7},{5}} {{1,5,6},{2},{3,4},{7}} => {{1,2,5,6},{3,4},{7}} {{1,5,7},{2,6},{3,4}} => {{1,5,7},{2,6},{3,4}} {{1,5},{2,6,7},{3,4}} => {{1,5},{2,6,7},{3,4}} {{1,5},{2,6},{3,4,7}} => {{1,5},{2,6},{3,4,7}} {{1,5},{2,6},{3,4},{7}} => {{1,5},{2,6},{3,4},{7}} {{1,5,7},{2},{3,4,6}} => {{1,2,7},{3,4,6},{5}} {{1,5},{2,7},{3,4,6}} => {{1,5},{2,7},{3,4,6}} {{1,5},{2},{3,4,6,7}} => {{1,2,5},{3,4,6,7}} {{1,5},{2},{3,4,6},{7}} => {{1,2,5},{3,4,6},{7}} {{1,5,7},{2},{3,4},{6}} => {{1,2,5,7},{3,4},{6}} {{1,5},{2,7},{3,4},{6}} => {{1,5},{2,7},{3,4},{6}} {{1,5},{2},{3,4,7},{6}} => {{1,2,5},{3,4,7},{6}} {{1,5},{2},{3,4},{6,7}} => {{1,2,5},{3,4},{6,7}} {{1,5},{2},{3,4},{6},{7}} => {{1,2,5},{3,4},{6},{7}} {{1,6,7},{2,5},{3,4}} => {{1,6,7},{2,5},{3,4}} {{1,6},{2,5,7},{3,4}} => {{1,6},{2,5,7},{3,4}} {{1,6},{2,5},{3,4,7}} => {{1,6},{2,5},{3,4,7}} {{1,6},{2,5},{3,4},{7}} => {{1,6},{2,5},{3,4},{7}} {{1,7},{2,5,6},{3,4}} => {{1,7},{2,5,6},{3,4}} {{1},{2,5,6,7},{3,4}} => {{1},{2,5,6,7},{3,4}} {{1},{2,5,6},{3,4,7}} => {{1},{2,5,6},{3,4,7}} {{1},{2,5,6},{3,4},{7}} => {{1},{2,5,6},{3,4},{7}} {{1,7},{2,5},{3,4,6}} => {{1,7},{2,5},{3,4,6}} {{1},{2,5,7},{3,4,6}} => {{1},{2,5,7},{3,4,6}} {{1},{2,5},{3,4,6,7}} => {{1},{2,5},{3,4,6,7}} {{1},{2,5},{3,4,6},{7}} => {{1},{2,5},{3,4,6},{7}} {{1,7},{2,5},{3,4},{6}} => {{1,7},{2,5},{3,4},{6}} {{1},{2,5,7},{3,4},{6}} => {{1},{2,5,7},{3,4},{6}} {{1},{2,5},{3,4,7},{6}} => {{1},{2,5},{3,4,7},{6}} {{1},{2,5},{3,4},{6,7}} => {{1},{2,5},{3,4},{6,7}} {{1},{2,5},{3,4},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} {{1,6,7},{2},{3,4,5}} => {{1,2,6,7},{3,4,5}} {{1,6},{2,7},{3,4,5}} => {{1,6},{2,7},{3,4,5}} {{1,6},{2},{3,4,5,7}} => {{1,2,6},{3,4,5,7}} {{1,6},{2},{3,4,5},{7}} => {{1,2,6},{3,4,5},{7}} {{1,7},{2,6},{3,4,5}} => {{1,7},{2,6},{3,4,5}} {{1},{2,6,7},{3,4,5}} => {{1},{2,6,7},{3,4,5}} {{1},{2,6},{3,4,5,7}} => {{1},{2,6},{3,4,5,7}} {{1},{2,6},{3,4,5},{7}} => {{1},{2,6},{3,4,5},{7}} {{1,7},{2},{3,4,5,6}} => {{1,2,7},{3,4,5,6}} {{1},{2,7},{3,4,5,6}} => {{1},{2,7},{3,4,5,6}} {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}} {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}} {{1,7},{2},{3,4,5},{6}} => {{1,2,7},{3,4,5},{6}} {{1},{2,7},{3,4,5},{6}} => {{1},{2,7},{3,4,5},{6}} {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}} {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}} {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} {{1,6,7},{2},{3,4},{5}} => {{1,2,6,7},{3,4},{5}} {{1,6},{2,7},{3,4},{5}} => {{1,6},{2,7},{3,4},{5}} {{1,6},{2},{3,4,7},{5}} => {{1,2,5,6},{3,4,7}} {{1,6},{2},{3,4},{5,7}} => {{1,2,6},{3,4},{5,7}} {{1,6},{2},{3,4},{5},{7}} => {{1,2,6},{3,4},{5},{7}} {{1,7},{2,6},{3,4},{5}} => {{1,7},{2,6},{3,4},{5}} {{1},{2,6,7},{3,4},{5}} => {{1},{2,6,7},{3,4},{5}} {{1},{2,6},{3,4,7},{5}} => {{1},{2,6},{3,4,7},{5}} {{1},{2,6},{3,4},{5,7}} => {{1},{2,6},{3,4},{5,7}} {{1},{2,6},{3,4},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} {{1,7},{2},{3,4,6},{5}} => {{1,2,5,7},{3,4,6}} {{1},{2,7},{3,4,6},{5}} => {{1},{2,7},{3,4,6},{5}} {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}} {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,6},{5,7}} {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} {{1,7},{2},{3,4},{5,6}} => {{1,2,7},{3,4},{5,6}} {{1},{2,7},{3,4},{5,6}} => {{1},{2,7},{3,4},{5,6}} {{1},{2},{3,4,7},{5,6}} => {{1},{2},{3,4,7},{5,6}} {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}} {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}} {{1,7},{2},{3,4},{5},{6}} => {{1,2,7},{3,4},{5},{6}} {{1},{2,7},{3,4},{5},{6}} => {{1},{2,7},{3,4},{5},{6}} {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} {{1},{2},{3,4},{5,7},{6}} => {{1},{2},{3,4},{5,7},{6}} {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}} {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} {{1,5,6,7},{2},{3},{4}} => {{1,2,3,4,6,7},{5}} {{1,5,6},{2,7},{3},{4}} => {{1,3,4,6},{2,7},{5}} {{1,5,6},{2},{3,7},{4}} => {{1,2,4,6},{3,7},{5}} {{1,5,6},{2},{3},{4,7}} => {{1,2,3,6},{4,7},{5}} {{1,5,6},{2},{3},{4},{7}} => {{1,2,3,4,6},{5},{7}} {{1,5,7},{2,6},{3},{4}} => {{1,3,4,7},{2,6},{5}} {{1,5},{2,6,7},{3},{4}} => {{1,3,4,5},{2,6,7}} {{1,5},{2,6},{3,7},{4}} => {{1,4,5},{2,6},{3,7}} {{1,5},{2,6},{3},{4,7}} => {{1,3,5},{2,6},{4,7}} {{1,5},{2,6},{3},{4},{7}} => {{1,3,4,5},{2,6},{7}} {{1,5,7},{2},{3,6},{4}} => {{1,2,4,7},{3,6},{5}} {{1,5},{2,7},{3,6},{4}} => {{1,4,5},{2,7},{3,6}} {{1,5},{2},{3,6,7},{4}} => {{1,2,4,5},{3,6,7}} {{1,5},{2},{3,6},{4,7}} => {{1,2,5},{3,6},{4,7}} {{1,5},{2},{3,6},{4},{7}} => {{1,2,4,5},{3,6},{7}} {{1,5,7},{2},{3},{4,6}} => {{1,2,3,7},{4,6},{5}} {{1,5},{2,7},{3},{4,6}} => {{1,3,5},{2,7},{4,6}} {{1,5},{2},{3,7},{4,6}} => {{1,2,5},{3,7},{4,6}} {{1,5},{2},{3},{4,6,7}} => {{1,2,3,5},{4,6,7}} {{1,5},{2},{3},{4,6},{7}} => {{1,2,3,5},{4,6},{7}} {{1,5,7},{2},{3},{4},{6}} => {{1,2,3,4,7},{5},{6}} {{1,5},{2,7},{3},{4},{6}} => {{1,3,4,5},{2,7},{6}} {{1,5},{2},{3,7},{4},{6}} => {{1,2,4,5},{3,7},{6}} {{1,5},{2},{3},{4,7},{6}} => {{1,2,3,5},{4,7},{6}} {{1,5},{2},{3},{4},{6,7}} => {{1,2,3,4,5},{6,7}} {{1,5},{2},{3},{4},{6},{7}} => {{1,2,3,4,5},{6},{7}} {{1,6,7},{2,5},{3},{4}} => {{1,3,4,6,7},{2,5}} {{1,6},{2,5,7},{3},{4}} => {{1,3,4,6},{2,5,7}} {{1,6},{2,5},{3,7},{4}} => {{1,4,6},{2,5},{3,7}} {{1,6},{2,5},{3},{4,7}} => {{1,3,6},{2,5},{4,7}} {{1,6},{2,5},{3},{4},{7}} => {{1,3,4,6},{2,5},{7}} {{1,7},{2,5,6},{3},{4}} => {{1,3,4,7},{2,5,6}} {{1},{2,5,6,7},{3},{4}} => {{1},{2,5,6,7},{3},{4}} {{1},{2,5,6},{3,7},{4}} => {{1},{2,5,6},{3,7},{4}} {{1},{2,5,6},{3},{4,7}} => {{1},{2,5,6},{3},{4,7}} {{1},{2,5,6},{3},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} {{1,7},{2,5},{3,6},{4}} => {{1,4,7},{2,5},{3,6}} {{1},{2,5,7},{3,6},{4}} => {{1},{2,5,7},{3,6},{4}} {{1},{2,5},{3,6,7},{4}} => {{1},{2,5},{3,6,7},{4}} {{1},{2,5},{3,6},{4,7}} => {{1},{2,5},{3,6},{4,7}} {{1},{2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} {{1,7},{2,5},{3},{4,6}} => {{1,3,7},{2,5},{4,6}} {{1},{2,5,7},{3},{4,6}} => {{1},{2,5,7},{3},{4,6}} {{1},{2,5},{3,7},{4,6}} => {{1},{2,5},{3,7},{4,6}} {{1},{2,5},{3},{4,6,7}} => {{1},{2,5},{3},{4,6,7}} {{1},{2,5},{3},{4,6},{7}} => {{1},{2,5},{3},{4,6},{7}} {{1,7},{2,5},{3},{4},{6}} => {{1,3,4,7},{2,5},{6}} {{1},{2,5,7},{3},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} {{1},{2,5},{3,7},{4},{6}} => {{1},{2,5},{3,7},{4},{6}} {{1},{2,5},{3},{4,7},{6}} => {{1},{2,5},{3},{4,7},{6}} {{1},{2,5},{3},{4},{6,7}} => {{1},{2,5},{3},{4},{6,7}} {{1},{2,5},{3},{4},{6},{7}} => {{1},{2,5},{3},{4},{6},{7}} {{1,6,7},{2},{3,5},{4}} => {{1,2,4,6,7},{3,5}} {{1,6},{2,7},{3,5},{4}} => {{1,4,6},{2,7},{3,5}} {{1,6},{2},{3,5,7},{4}} => {{1,2,4,6},{3,5,7}} {{1,6},{2},{3,5},{4,7}} => {{1,2,6},{3,5},{4,7}} {{1,6},{2},{3,5},{4},{7}} => {{1,2,4,6},{3,5},{7}} {{1,7},{2,6},{3,5},{4}} => {{1,4,7},{2,6},{3,5}} {{1},{2,6,7},{3,5},{4}} => {{1},{2,6,7},{3,5},{4}} {{1},{2,6},{3,5,7},{4}} => {{1},{2,6},{3,5,7},{4}} {{1},{2,6},{3,5},{4,7}} => {{1},{2,6},{3,5},{4,7}} {{1},{2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} {{1,7},{2},{3,5,6},{4}} => {{1,2,4,7},{3,5,6}} {{1},{2,7},{3,5,6},{4}} => {{1},{2,7},{3,5,6},{4}} {{1},{2},{3,5,6,7},{4}} => {{1},{2},{3,5,6,7},{4}} {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,5,6},{4,7}} {{1},{2},{3,5,6},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} {{1,7},{2},{3,5},{4,6}} => {{1,2,7},{3,5},{4,6}} {{1},{2,7},{3,5},{4,6}} => {{1},{2,7},{3,5},{4,6}} {{1},{2},{3,5,7},{4,6}} => {{1},{2},{3,5,7},{4,6}} {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,5},{4,6,7}} {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,5},{4,6},{7}} {{1,7},{2},{3,5},{4},{6}} => {{1,2,4,7},{3,5},{6}} {{1},{2,7},{3,5},{4},{6}} => {{1},{2,7},{3,5},{4},{6}} {{1},{2},{3,5,7},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,5},{4,7},{6}} {{1},{2},{3,5},{4},{6,7}} => {{1},{2},{3,5},{4},{6,7}} {{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} {{1,6,7},{2},{3},{4,5}} => {{1,2,3,6,7},{4,5}} {{1,6},{2,7},{3},{4,5}} => {{1,3,6},{2,7},{4,5}} {{1,6},{2},{3,7},{4,5}} => {{1,2,6},{3,7},{4,5}} {{1,6},{2},{3},{4,5,7}} => {{1,2,3,6},{4,5,7}} {{1,6},{2},{3},{4,5},{7}} => {{1,2,3,6},{4,5},{7}} {{1,7},{2,6},{3},{4,5}} => {{1,3,7},{2,6},{4,5}} {{1},{2,6,7},{3},{4,5}} => {{1},{2,6,7},{3},{4,5}} {{1},{2,6},{3,7},{4,5}} => {{1},{2,6},{3,7},{4,5}} {{1},{2,6},{3},{4,5,7}} => {{1},{2,6},{3},{4,5,7}} {{1},{2,6},{3},{4,5},{7}} => {{1},{2,6},{3},{4,5},{7}} {{1,7},{2},{3,6},{4,5}} => {{1,2,7},{3,6},{4,5}} {{1},{2,7},{3,6},{4,5}} => {{1},{2,7},{3,6},{4,5}} {{1},{2},{3,6,7},{4,5}} => {{1},{2},{3,6,7},{4,5}} {{1},{2},{3,6},{4,5,7}} => {{1},{2},{3,6},{4,5,7}} {{1},{2},{3,6},{4,5},{7}} => {{1},{2},{3,6},{4,5},{7}} {{1,7},{2},{3},{4,5,6}} => {{1,2,3,7},{4,5,6}} {{1},{2,7},{3},{4,5,6}} => {{1},{2,7},{3},{4,5,6}} {{1},{2},{3,7},{4,5,6}} => {{1},{2},{3,7},{4,5,6}} {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}} {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}} {{1,7},{2},{3},{4,5},{6}} => {{1,2,3,7},{4,5},{6}} {{1},{2,7},{3},{4,5},{6}} => {{1},{2,7},{3},{4,5},{6}} {{1},{2},{3,7},{4,5},{6}} => {{1},{2},{3,7},{4,5},{6}} {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}} {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}} {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} {{1,6,7},{2},{3},{4},{5}} => {{1,2,3,4,5,7},{6}} {{1,6},{2,7},{3},{4},{5}} => {{1,3,4,5,6},{2,7}} {{1,6},{2},{3,7},{4},{5}} => {{1,2,4,5,6},{3,7}} {{1,6},{2},{3},{4,7},{5}} => {{1,2,3,5,6},{4,7}} {{1,6},{2},{3},{4},{5,7}} => {{1,2,3,4,6},{5,7}} {{1,6},{2},{3},{4},{5},{7}} => {{1,2,3,4,5,6},{7}} {{1,7},{2,6},{3},{4},{5}} => {{1,3,4,5,7},{2,6}} {{1},{2,6,7},{3},{4},{5}} => {{1},{2,6,7},{3},{4},{5}} {{1},{2,6},{3,7},{4},{5}} => {{1},{2,6},{3,7},{4},{5}} {{1},{2,6},{3},{4,7},{5}} => {{1},{2,6},{3},{4,7},{5}} {{1},{2,6},{3},{4},{5,7}} => {{1},{2,6},{3},{4},{5,7}} {{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} {{1,7},{2},{3,6},{4},{5}} => {{1,2,4,5,7},{3,6}} {{1},{2,7},{3,6},{4},{5}} => {{1},{2,7},{3,6},{4},{5}} {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} {{1},{2},{3,6},{4,7},{5}} => {{1},{2},{3,6},{4,7},{5}} {{1},{2},{3,6},{4},{5,7}} => {{1},{2},{3,6},{4},{5,7}} {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} {{1,7},{2},{3},{4,6},{5}} => {{1,2,3,5,7},{4,6}} {{1},{2,7},{3},{4,6},{5}} => {{1},{2,7},{3},{4,6},{5}} {{1},{2},{3,7},{4,6},{5}} => {{1},{2},{3,7},{4,6},{5}} {{1},{2},{3},{4,6,7},{5}} => {{1},{2},{3},{4,6,7},{5}} {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,6},{5,7}} {{1},{2},{3},{4,6},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} {{1,7},{2},{3},{4},{5,6}} => {{1,2,3,4,7},{5,6}} {{1},{2,7},{3},{4},{5,6}} => {{1},{2,7},{3},{4},{5,6}} {{1},{2},{3,7},{4},{5,6}} => {{1},{2},{3,7},{4},{5,6}} {{1},{2},{3},{4,7},{5,6}} => {{1},{2},{3},{4,7},{5,6}} {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}} {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}} {{1,7},{2},{3},{4},{5},{6}} => {{1,2,3,4,5,6,7}} {{1},{2,7},{3},{4},{5},{6}} => {{1},{2,7},{3},{4},{5},{6}} {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} {{1},{2},{3},{4},{5,7},{6}} => {{1},{2},{3},{4},{5,7},{6}} {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}} {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} {{1,2},{3,4},{5,6},{7,8}} => {{1,2},{3,4},{5,6},{7,8}} {{1,3},{2,4},{5,6},{7,8}} => {{1,3},{2,4},{5,6},{7,8}} {{1,4},{2,3},{5,6},{7,8}} => {{1,4},{2,3},{5,6},{7,8}} {{1,5},{2,3},{4,6},{7,8}} => {{1,5},{2,3},{4,6},{7,8}} {{1,6},{2,3},{4,5},{7,8}} => {{1,6},{2,3},{4,5},{7,8}} {{1,7},{2,3},{4,5},{6,8}} => {{1,7},{2,3},{4,5},{6,8}} {{1,8},{2,3},{4,5},{6,7}} => {{1,8},{2,3},{4,5},{6,7}} {{1,8},{2,4},{3,5},{6,7}} => {{1,8},{2,4},{3,5},{6,7}} {{1,7},{2,4},{3,5},{6,8}} => {{1,7},{2,4},{3,5},{6,8}} {{1,6},{2,4},{3,5},{7,8}} => {{1,6},{2,4},{3,5},{7,8}} {{1,5},{2,4},{3,6},{7,8}} => {{1,5},{2,4},{3,6},{7,8}} {{1,4},{2,5},{3,6},{7,8}} => {{1,4},{2,5},{3,6},{7,8}} {{1,3},{2,5},{4,6},{7,8}} => {{1,3},{2,5},{4,6},{7,8}} {{1,2},{3,5},{4,6},{7,8}} => {{1,2},{3,5},{4,6},{7,8}} {{1,2},{3,6},{4,5},{7,8}} => {{1,2},{3,6},{4,5},{7,8}} {{1,3},{2,6},{4,5},{7,8}} => {{1,3},{2,6},{4,5},{7,8}} {{1,4},{2,6},{3,5},{7,8}} => {{1,4},{2,6},{3,5},{7,8}} {{1,5},{2,6},{3,4},{7,8}} => {{1,5},{2,6},{3,4},{7,8}} {{1,6},{2,5},{3,4},{7,8}} => {{1,6},{2,5},{3,4},{7,8}} {{1,7},{2,5},{3,4},{6,8}} => {{1,7},{2,5},{3,4},{6,8}} {{1,8},{2,5},{3,4},{6,7}} => {{1,8},{2,5},{3,4},{6,7}} {{1,8},{2,6},{3,4},{5,7}} => {{1,8},{2,6},{3,4},{5,7}} {{1,7},{2,6},{3,4},{5,8}} => {{1,7},{2,6},{3,4},{5,8}} {{1,6},{2,7},{3,4},{5,8}} => {{1,6},{2,7},{3,4},{5,8}} {{1,5},{2,7},{3,4},{6,8}} => {{1,5},{2,7},{3,4},{6,8}} {{1,4},{2,7},{3,5},{6,8}} => {{1,4},{2,7},{3,5},{6,8}} {{1,3},{2,7},{4,5},{6,8}} => {{1,3},{2,7},{4,5},{6,8}} {{1,2},{3,7},{4,5},{6,8}} => {{1,2},{3,7},{4,5},{6,8}} {{1,2},{3,8},{4,5},{6,7}} => {{1,2},{3,8},{4,5},{6,7}} {{1,3},{2,8},{4,5},{6,7}} => {{1,3},{2,8},{4,5},{6,7}} {{1,4},{2,8},{3,5},{6,7}} => {{1,4},{2,8},{3,5},{6,7}} {{1,5},{2,8},{3,4},{6,7}} => {{1,5},{2,8},{3,4},{6,7}} {{1,6},{2,8},{3,4},{5,7}} => {{1,6},{2,8},{3,4},{5,7}} {{1,7},{2,8},{3,4},{5,6}} => {{1,7},{2,8},{3,4},{5,6}} {{1,8},{2,7},{3,4},{5,6}} => {{1,8},{2,7},{3,4},{5,6}} {{1,8},{2,7},{3,5},{4,6}} => {{1,8},{2,7},{3,5},{4,6}} {{1,7},{2,8},{3,5},{4,6}} => {{1,7},{2,8},{3,5},{4,6}} {{1,6},{2,8},{3,5},{4,7}} => {{1,6},{2,8},{3,5},{4,7}} {{1,5},{2,8},{3,6},{4,7}} => {{1,5},{2,8},{3,6},{4,7}} {{1,4},{2,8},{3,6},{5,7}} => {{1,4},{2,8},{3,6},{5,7}} {{1,3},{2,8},{4,6},{5,7}} => {{1,3},{2,8},{4,6},{5,7}} {{1,2},{3,8},{4,6},{5,7}} => {{1,2},{3,8},{4,6},{5,7}} {{1,2},{3,7},{4,6},{5,8}} => {{1,2},{3,7},{4,6},{5,8}} {{1,3},{2,7},{4,6},{5,8}} => {{1,3},{2,7},{4,6},{5,8}} {{1,4},{2,7},{3,6},{5,8}} => {{1,4},{2,7},{3,6},{5,8}} ----------------------------------------------------------------------------- Created: Apr 12, 2022 at 15:54 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Apr 12, 2022 at 15:54 by Martin Rubey