***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001137 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: Number of simple modules that are 3-regular in the corresponding Nakayama algebra. ----------------------------------------------------------------------------- References: [1] Enomoto, H. Classifications of exact structures and Cohen-Macaulay-finite algebras [[arXiv:1705.02163]] ----------------------------------------------------------------------------- Code: # has 3-redular condition iff output is [0,0,0]. gap.eval('DeclareOperation("has3regularcondition", [IsList]);') gap_code_3_regular = r""" InstallMethod(has3regularcondition, "for a representation of a quiver", [IsList],0,function(LIST) local A, M, RegA, g1, g2, g3; A:=LIST[1]; M:=LIST[2]; RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A)); g1:=ProjDimensionOfModule(M,30)-3; g2:=Size(HomOverAlgebra(M,RegA))+Size(ExtOverAlgebra(M,RegA)[2])+Size(ExtOverAlgebra(NthSyzygy(M,1),RegA)[2]); g3:=Size(ExtOverAlgebra(NthSyzygy(M,2),RegA)[2])-1; return([g1,g2,g3]); end); """ gap.eval(gap_code_3_regular) gap.eval('DeclareOperation("sim3ausreg", [IsList]);') gap_code_sim3ausreg = r""" InstallMethod(sim3ausreg, "for a representation of a quiver", [IsList],0,function(LIST) local A, simA, TT, WU, x; A:=LIST[1]; simA:=SimpleModules(A); TT:=[1..Size(simA)]; WU:=Filtered(TT,x->has3regularcondition([A,simA[x]])=[0,0,0]); return(WU); end); """ gap.eval(gap_code_sim3ausreg) def kupisch(D): """ sage: [kupisch(D) for D in DyckWords(3)] [[2, 2, 2, 1], [2, 3, 2, 1], [3, 2, 2, 1], [3, 3, 2, 1], [4, 3, 2, 1]] sage: all(kupisch(D) == [a+2 for a in D.reverse().to_area_sequence()[::-1]] + [1] for D in DyckWords(5)) """ H = D.heights() return [1+H[i] for i, s in enumerate(D) if s == 0]+[1] def statistic(D): k = kupisch(D) gap.eval("A := NakayamaAlgebra(" + str(k) + ", GF(3))") return len(gap.sim3ausreg(["A"]).sage()) ----------------------------------------------------------------------------- Statistic values: [1,0] => 0 [1,0,1,0] => 0 [1,1,0,0] => 0 [1,0,1,0,1,0] => 1 [1,0,1,1,0,0] => 0 [1,1,0,0,1,0] => 0 [1,1,0,1,0,0] => 0 [1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 2 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => 2 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => 1 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => 2 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => 2 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => 1 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 3 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => 2 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => 2 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 3 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 2 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 3 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 2 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => 1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 2 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 2 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 2 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 2 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 0 ----------------------------------------------------------------------------- Created: Apr 09, 2018 at 13:13 by Rene Marczinzik ----------------------------------------------------------------------------- Last Updated: May 10, 2018 at 10:22 by Martin Rubey