TSTP Solution File: PUZ046-1 by Mace4---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Mace4---1109a
% Problem  : PUZ046-1 : TPTP v6.4.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : mace4 -t %d -f %s

% Computer : n122.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb  8 10:01:40 EST 2017

% Result   : Satisfiable 1.13s
% Output   : FiniteModel 1.13s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ046-1 : TPTP v6.4.0. Released v2.5.0.
% 0.00/0.04  % Command  : mace4 -t %d -f %s
% 0.02/0.23  % Computer : n122.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Tue Feb  7 20:34:30 CST 2017
% 0.02/0.23  % CPUTime  : 
% 1.13/1.34  % SZS status Satisfiable
% 1.13/1.34  ============================== Mace4 =================================
% 1.13/1.34  Mace4 (32) version 2009-11A, November 2009.
% 1.13/1.34  Process 16449 was started by sandbox on n122.star.cs.uiowa.edu,
% 1.13/1.34  Tue Feb  7 20:34:31 2017
% 1.13/1.34  The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_16416_n122.star.cs.uiowa.edu".
% 1.13/1.34  ============================== end of head ===========================
% 1.13/1.34  
% 1.13/1.34  ============================== INPUT =================================
% 1.13/1.34  
% 1.13/1.34  % Reading from file /tmp/Mace4_input_16416_n122.star.cs.uiowa.edu
% 1.13/1.34  
% 1.13/1.34  set(prolog_style_variables).
% 1.13/1.34  set(print_models_tabular).
% 1.13/1.34      % set(print_models_tabular) -> clear(print_models).
% 1.13/1.34  
% 1.13/1.34  formulas(sos).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2) | state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2) # label(s1_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2) # label(s1_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2) | state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2) # label(s1_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2) # label(s1_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2) | state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2) # label(s2_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2) # label(s2_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2) | state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2) # label(s2_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2) # label(s2_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2) | state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2) # label(s3_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2) # label(s3_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2) | state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2) # label(s3_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2) # label(s3_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2) | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2) # label(s4_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2) # label(s4_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2) | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2) # label(s4_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2) | state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2) # label(s4_up) # label(axiom).
% 1.13/1.34  -state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) | state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) # label(v1_right) # label(axiom).
% 1.13/1.34  -state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) | state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) # label(v1_left) # label(axiom).
% 1.13/1.34  -state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) | state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) # label(v1_down) # label(axiom).
% 1.13/1.34  -state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) | state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) # label(v1_up) # label(axiom).
% 1.13/1.34  -state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) | state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) # label(v2_right) # label(axiom).
% 1.13/1.34  -state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) | state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) # label(v2_left) # label(axiom).
% 1.13/1.34  -state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) | state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) # label(v2_down) # label(axiom).
% 1.13/1.34  -state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) | state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) # label(v2_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) | state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) # label(v3_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) | state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) # label(v3_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) | state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2) # label(v3_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2) | state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) # label(v3_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) | state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) # label(v4_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) | state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) # label(v4_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) | state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2) # label(v4_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2) | state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) # label(v4_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2) | state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2) # label(h_right) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2) | state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2) # label(h_left) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))) | state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) # label(h_down) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) | state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))) # label(h_up) # label(axiom).
% 1.13/1.34  -state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))) | state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) # label(b_right) # label(axiom).
% 1.13/1.34  -state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) | state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))) # label(b_left) # label(axiom).
% 1.13/1.34  -state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))) | state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) # label(b_down) # label(axiom).
% 1.13/1.34  -state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) | state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))) # label(b_up) # label(axiom).
% 1.13/1.34  -state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(Q,W)) | state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(Q,W),e2(X,Y)) # label(swap_blanks) # label(axiom).
% 1.13/1.34  end_of_list.
% 1.13/1.34  
% 1.13/1.34  % From the command line: assign(max_seconds, 300).
% 1.13/1.34  
% 1.13/1.34  ============================== end of input ==========================
% 1.13/1.34  
% 1.13/1.34  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.13/1.34  
% 1.13/1.34  % Formulas that are not ordinary clauses:
% 1.13/1.34  
% 1.13/1.34  ============================== end of process non-clausal formulas ===
% 1.13/1.34  
% 1.13/1.34  ============================== CLAUSES FOR SEARCH ====================
% 1.13/1.34  
% 1.13/1.34  formulas(mace4_clauses).
% 1.13/1.34  -state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(V6,s(V7)),V11) | state(A,B,C,D,E,F,s1(V6,s(V7)),V8,V9,V10,e1(V6,V7),V11) # label(s1_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,s1(V6,s(V7)),V8,V9,V10,e1(V6,V7),V11) | state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(V6,s(V7)),V11) # label(s1_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(s(V6),V7),V11) | state(A,B,C,D,E,F,s1(s(V6),V7),V8,V9,V10,e1(V6,V7),V11) # label(s1_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,s1(s(V6),V7),V8,V9,V10,e1(V6,V7),V11) | state(A,B,C,D,E,F,s1(V6,V7),V8,V9,V10,e1(s(V6),V7),V11) # label(s1_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,s2(V7,V8),V9,V10,e1(V7,s(V8)),V11) | state(A,B,C,D,E,F,V6,s2(V7,s(V8)),V9,V10,e1(V7,V8),V11) # label(s2_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,s2(V7,s(V8)),V9,V10,e1(V7,V8),V11) | state(A,B,C,D,E,F,V6,s2(V7,V8),V9,V10,e1(V7,s(V8)),V11) # label(s2_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,s2(V7,V8),V9,V10,e1(s(V7),V8),V11) | state(A,B,C,D,E,F,V6,s2(s(V7),V8),V9,V10,e1(V7,V8),V11) # label(s2_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,s2(s(V7),V8),V9,V10,e1(V7,V8),V11) | state(A,B,C,D,E,F,V6,s2(V7,V8),V9,V10,e1(s(V7),V8),V11) # label(s2_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(V8,s(V9)),V11) | state(A,B,C,D,E,F,V6,V7,s3(V8,s(V9)),V10,e1(V8,V9),V11) # label(s3_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,s3(V8,s(V9)),V10,e1(V8,V9),V11) | state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(V8,s(V9)),V11) # label(s3_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(s(V8),V9),V11) | state(A,B,C,D,E,F,V6,V7,s3(s(V8),V9),V10,e1(V8,V9),V11) # label(s3_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,s3(s(V8),V9),V10,e1(V8,V9),V11) | state(A,B,C,D,E,F,V6,V7,s3(V8,V9),V10,e1(s(V8),V9),V11) # label(s3_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,V8,s4(V9,V10),e1(V9,s(V10)),V11) | state(A,B,C,D,E,F,V6,V7,V8,s4(V9,s(V10)),e1(V9,V10),V11) # label(s4_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,V8,s4(V9,s(V10)),e1(V9,V10),V11) | state(A,B,C,D,E,F,V6,V7,V8,s4(V9,V10),e1(V9,s(V10)),V11) # label(s4_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,V8,s4(V9,V10),e1(s(V9),V10),V11) | state(A,B,C,D,E,F,V6,V7,V8,s4(s(V9),V10),e1(V9,V10),V11) # label(s4_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,V8,s4(s(V9),V10),e1(V9,V10),V11) | state(A,B,C,D,E,F,V6,V7,V8,s4(V9,V10),e1(s(V9),V10),V11) # label(s4_up) # label(axiom).
% 1.13/1.34  -state(A,v1(B,C),D,E,F,V6,V7,V8,V9,V10,e1(B,s(C)),e2(s(B),s(C))) | state(A,v1(B,s(C)),D,E,F,V6,V7,V8,V9,V10,e1(B,C),e2(s(B),C)) # label(v1_right) # label(axiom).
% 1.13/1.34  -state(A,v1(B,s(C)),D,E,F,V6,V7,V8,V9,V10,e1(B,C),e2(s(B),C)) | state(A,v1(B,C),D,E,F,V6,V7,V8,V9,V10,e1(B,s(C)),e2(s(B),s(C))) # label(v1_left) # label(axiom).
% 1.13/1.34  -state(A,v1(B,C),D,E,F,V6,V7,V8,V9,V10,e1(s(s(B)),C),V11) | state(A,v1(s(B),C),D,E,F,V6,V7,V8,V9,V10,e1(B,C),V11) # label(v1_down) # label(axiom).
% 1.13/1.34  -state(A,v1(s(B),C),D,E,F,V6,V7,V8,V9,V10,e1(B,C),V11) | state(A,v1(B,C),D,E,F,V6,V7,V8,V9,V10,e1(s(s(B)),C),V11) # label(v1_up) # label(axiom).
% 1.13/1.34  -state(A,B,v2(C,D),E,F,V6,V7,V8,V9,V10,e1(C,s(D)),e2(s(C),s(D))) | state(A,B,v2(C,s(D)),E,F,V6,V7,V8,V9,V10,e1(C,D),e2(s(C),D)) # label(v2_right) # label(axiom).
% 1.13/1.34  -state(A,B,v2(C,s(D)),E,F,V6,V7,V8,V9,V10,e1(C,D),e2(s(C),D)) | state(A,B,v2(C,D),E,F,V6,V7,V8,V9,V10,e1(C,s(D)),e2(s(C),s(D))) # label(v2_left) # label(axiom).
% 1.13/1.34  -state(A,B,v2(C,D),E,F,V6,V7,V8,V9,V10,e1(s(s(C)),D),V11) | state(A,B,v2(s(C),D),E,F,V6,V7,V8,V9,V10,e1(C,D),V11) # label(v2_down) # label(axiom).
% 1.13/1.34  -state(A,B,v2(s(C),D),E,F,V6,V7,V8,V9,V10,e1(C,D),V11) | state(A,B,v2(C,D),E,F,V6,V7,V8,V9,V10,e1(s(s(C)),D),V11) # label(v2_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,v3(D,E),F,V6,V7,V8,V9,V10,e1(D,s(E)),e2(s(D),s(E))) | state(A,B,C,v3(D,s(E)),F,V6,V7,V8,V9,V10,e1(D,E),e2(s(D),E)) # label(v3_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,v3(D,s(E)),F,V6,V7,V8,V9,V10,e1(D,E),e2(s(D),E)) | state(A,B,C,v3(D,E),F,V6,V7,V8,V9,V10,e1(D,s(E)),e2(s(D),s(E))) # label(v3_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,v3(D,E),F,V6,V7,V8,V9,V10,e1(s(s(D)),E),V11) | state(A,B,C,v3(s(D),E),F,V6,V7,V8,V9,V10,e1(D,E),V11) # label(v3_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,v3(s(D),E),F,V6,V7,V8,V9,V10,e1(D,E),V11) | state(A,B,C,v3(D,E),F,V6,V7,V8,V9,V10,e1(s(s(D)),E),V11) # label(v3_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(E,s(F)),e2(s(E),s(F))) | state(A,B,C,D,v4(E,s(F)),V6,V7,V8,V9,V10,e1(E,F),e2(s(E),F)) # label(v4_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,v4(E,s(F)),V6,V7,V8,V9,V10,e1(E,F),e2(s(E),F)) | state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(E,s(F)),e2(s(E),s(F))) # label(v4_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(s(s(E)),F),V11) | state(A,B,C,D,v4(s(E),F),V6,V7,V8,V9,V10,e1(E,F),V11) # label(v4_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,v4(s(E),F),V6,V7,V8,V9,V10,e1(E,F),V11) | state(A,B,C,D,v4(E,F),V6,V7,V8,V9,V10,e1(s(s(E)),F),V11) # label(v4_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,h(F,V6),V7,V8,V9,V10,e1(F,s(s(V6))),V11) | state(A,B,C,D,E,h(F,s(V6)),V7,V8,V9,V10,e1(F,V6),V11) # label(h_right) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,h(F,s(V6)),V7,V8,V9,V10,e1(F,V6),V11) | state(A,B,C,D,E,h(F,V6),V7,V8,V9,V10,e1(F,s(s(V6))),V11) # label(h_left) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,h(F,V6),V7,V8,V9,V10,e1(s(F),V6),e2(s(F),s(V6))) | state(A,B,C,D,E,h(s(F),V6),V7,V8,V9,V10,e1(F,V6),e2(F,s(V6))) # label(h_down) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,h(s(F),V6),V7,V8,V9,V10,e1(F,V6),e2(F,s(V6))) | state(A,B,C,D,E,h(F,V6),V7,V8,V9,V10,e1(s(F),V6),e2(s(F),s(V6))) # label(h_up) # label(axiom).
% 1.13/1.34  -state(bb(A,B),C,D,E,F,V6,V7,V8,V9,V10,e1(A,s(s(B))),e2(s(A),s(s(B)))) | state(bb(A,s(B)),C,D,E,F,V6,V7,V8,V9,V10,e1(A,B),e2(s(A),B)) # label(b_right) # label(axiom).
% 1.13/1.34  -state(bb(A,s(B)),C,D,E,F,V6,V7,V8,V9,V10,e1(A,B),e2(s(A),B)) | state(bb(A,B),C,D,E,F,V6,V7,V8,V9,V10,e1(A,s(s(B))),e2(s(A),s(s(B)))) # label(b_left) # label(axiom).
% 1.13/1.34  -state(bb(A,B),C,D,E,F,V6,V7,V8,V9,V10,e1(s(s(A)),B),e2(s(s(A)),s(B))) | state(bb(s(A),B),C,D,E,F,V6,V7,V8,V9,V10,e1(A,B),e2(A,s(B))) # label(b_down) # label(axiom).
% 1.13/1.34  -state(bb(s(A),B),C,D,E,F,V6,V7,V8,V9,V10,e1(A,B),e2(A,s(B))) | state(bb(A,B),C,D,E,F,V6,V7,V8,V9,V10,e1(s(s(A)),B),e2(s(s(A)),s(B))) # label(b_up) # label(axiom).
% 1.13/1.34  -state(A,B,C,D,E,F,V6,V7,V8,V9,e1(V10,V11),e2(V12,V13)) | state(A,B,C,D,E,F,V6,V7,V8,V9,e1(V12,V13),e2(V10,V11)) # label(swap_blanks) # label(axiom).
% 1.13/1.34  end_of_list.
% 1.13/1.34  
% 1.13/1.34  ============================== end of clauses for search =============
% 1.13/1.34  % SZS output start FiniteModel
% 1.13/1.34  
% 1.13/1.34  % There are no natural numbers in the input.
% 1.13/1.34  
% 1.13/1.34   s :
% 1.13/1.34          0 1
% 1.13/1.34      -------
% 1.13/1.34          0 0
% 1.13/1.34  
% 1.13/1.34   bb :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   e1 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   e2 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   h :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   s1 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   s2 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   s3 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   s4 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   v1 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   v2 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   v3 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  
% 1.13/1.34   v4 :
% 1.13/1.34        | 0 1
% 1.13/1.34      --+----
% 1.13/1.34      0 | 0 0
% 1.13/1.34      1 | 0 0
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,0,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,0,1,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,0,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.34  state(0,1,1,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(0,1,1,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,0,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,0,1,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,0,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,0,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,0,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,0,1,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,0,1,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,0,1,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,0,1,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,0,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,0,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,0,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,0,1,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,1,0,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,1,0,1) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,1,1,0) = 0.
% 1.13/1.35  state(1,1,1,1,1,1,1,1,1,1,1,1) = 0.
% 1.13/1.35  
% 1.13/1.35  % SZS output end FiniteModel
% 1.13/1.35  ------ process 16449 exit (max_models) ------
% 1.13/1.35  
% 1.13/1.35  User_CPU=0.86, System_CPU=0.04, Wall_clock=0.
% 1.13/1.35  
% 1.13/1.35  Exiting with 1 model.
% 1.13/1.35  
% 1.13/1.35  Process 16449 exit (max_models) Tue Feb  7 20:34:31 2017
% 1.13/1.35  The process finished Tue Feb  7 20:34:31 2017
% 1.13/1.35  Mace4 ended
%------------------------------------------------------------------------------