TSTP Solution File: LCL663+1.005 by Mace4---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Mace4---1109a
% Problem  : LCL663+1.005 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : mace4 -t %d -f %s

% Computer : n061.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 09:58:16 EST 2017

% Result   : CounterSatisfiable 4.23s
% Output   : FiniteModel 4.23s
% 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  : LCL663+1.005 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : mace4 -t %d -f %s
% 0.03/0.23  % Computer : n061.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Tue Feb  7 19:26:30 CST 2017
% 0.03/0.23  % CPUTime  : 
% 4.23/4.44  % SZS status CounterSatisfiable
% 4.23/4.44  ============================== Mace4 =================================
% 4.23/4.44  Mace4 (32) version 2009-11A, November 2009.
% 4.23/4.44  Process 4172 was started by sandbox2 on n061.star.cs.uiowa.edu,
% 4.23/4.44  Tue Feb  7 19:26:31 2017
% 4.23/4.44  The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_4139_n061.star.cs.uiowa.edu".
% 4.23/4.44  ============================== end of head ===========================
% 4.23/4.44  
% 4.23/4.44  ============================== INPUT =================================
% 4.23/4.44  
% 4.23/4.44  % Reading from file /tmp/Mace4_input_4139_n061.star.cs.uiowa.edu
% 4.23/4.44  
% 4.23/4.44  set(prolog_style_variables).
% 4.23/4.44  set(print_models_tabular).
% 4.23/4.44      % set(print_models_tabular) -> clear(print_models).
% 4.23/4.44  
% 4.23/4.44  formulas(sos).
% 4.23/4.44  (all X r1(X,X)) # label(reflexivity) # label(axiom).
% 4.23/4.44  --(exists X -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -p1(Y))))))))))))) & -p1(Y)))))))))))))))))))))))))))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -p1(X))))))))))))) & -p1(X)))))))))))))))))))))) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X 
% (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -p1(Y))))))))))))) & -p1(Y)))))))))))) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -p1(X))))))))))))) & -p1(X) | p1(X))) # label(main) # label(negated_conjecture).
% 4.23/4.44  end_of_list.
% 4.23/4.44  
% 4.23/4.44  % From the command line: assign(max_seconds, 300).
% 4.23/4.44  
% 4.23/4.44  ============================== end of input ==========================
% 4.23/4.44  
% 4.23/4.44  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.23/4.44  
% 4.23/4.44  % Formulas that are not ordinary clauses:
% 4.23/4.44  1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause).  [assumption].
% 4.23/4.44  2 --(exists X -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -p1(Y))))))))))))) & -p1(Y)))))))))))))))))))))))))))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -p1(X))))))))))))) & -p1(X)))))))))))))))))))))) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -(all X 
% (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -p1(Y))))))))))))) & -p1(Y)))))))))))) | -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -p1(X))))))))))))) & -p1(X) | p1(X))) # label(main) # label(negated_conjecture) # label(non_clause).  [assumption].
% 4.23/4.44  
% 4.23/4.44  ============================== end of process non-clausal formulas ===
% 4.23/4.44  
% 4.23/4.44  ============================== CLAUSES FOR SEARCH ====================
% 4.23/4.44  
% 4.23/4.44  formulas(mace4_clauses).
% 4.23/4.44  r1(A,A) # label(reflexivity) # label(axiom).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(B,C) | r1(C,f1(A,B,C)) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(B,C) | -r1(f1(A,B,C),D) | -r1(D,E) | -r1(E,F) | r1(F,f2(A,B,C,D,E,F)) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(B,C) | -r1(f1(A,B,C),D) | -r1(D,E) | -r1(E,F) | -r1(f2(A,B,C,D,E,F),V6) | -r1(V6,V7) | -r1(V7,V8) | r1(V8,f3(A,B,C,D,E,F,V6,V7,V8)) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(B,C) | -r1(f1(A,B,C),D) | -r1(D,E) | -r1(E,F) | -r1(f2(A,B,C,D,E,F),V6) | -r1(V6,V7) | -r1(V7,V8) | -r1(f3(A,B,C,D,E,F,V6,V7,V8),V9) | -r1(V9,V10) | -r1(V10,V11) | -r1(V11,V12) | r1(V12,f4(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12)) | p1(V11) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(B,C) | -r1(f1(A,B,C),D) | -r1(D,E) | -r1(E,F) | -r1(f2(A,B,C,D,E,F),V6) | -r1(V6,V7) | -r1(V7,V8) | -r1(f3(A,B,C,D,E,F,V6,V7,V8),V9) | -r1(V9,V10) | -r1(V10,V11) | -r1(V11,V12) | -r1(f4(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12),V13) | -r1(V13,V14) | -r1(V14,V15) | -r1(V15,V16) | -p1(V16) | p1(V11) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | r1(B,f5(A,B)) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(f5(A,B),C) | -r1(C,D) | -r1(D,E) | r1(E,f6(A,B,C,D,E)) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(f5(A,B),C) | -r1(C,D) | -r1(D,E) | -r1(f6(A,B,C,D,E),F) | -r1(F,V6) | -r1(V6,V7) | -r1(V7,V8) | r1(V8,f7(A,B,C,D,E,F,V6,V7,V8)) | p1(V7) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(A,B) | -r1(f5(A,B),C) | -r1(C,D) | -r1(D,E) | -r1(f6(A,B,C,D,E),F) | -r1(F,V6) | -r1(V6,V7) | -r1(V7,V8) | -r1(f7(A,B,C,D,E,F,V6,V7,V8),V9) | -r1(V9,V10) | -r1(V10,V11) | -r1(V11,V12) | -p1(V12) | p1(V7) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | r1(A,f8(A)) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(f8(A),B) | -r1(B,C) | -r1(C,D) | -r1(D,E) | r1(E,f9(A,B,C,D,E)) | p1(D) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(f8(A),B) | -r1(B,C) | -r1(C,D) | -r1(D,E) | -r1(f9(A,B,C,D,E),F) | -r1(F,V6) | -r1(V6,V7) | -r1(V7,V8) | -p1(V8) | p1(D) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | r1(A,f10(A)) | p1(c1) # label(main) # label(negated_conjecture).
% 4.23/4.44  -r1(c1,A) | -r1(f10(A),B) | -r1(B,C) | -r1(C,D) | -r1(D,E) | -p1(E) | p1(c1) # label(main) # label(negated_conjecture).
% 4.23/4.44  -p1(c1) # label(main) # label(negated_conjecture).
% 4.23/4.44  end_of_list.
% 4.23/4.44  
% 4.23/4.44  ============================== end of clauses for search =============
% 4.23/4.44  % SZS output start FiniteModel
% 4.23/4.44  
% 4.23/4.44  % There are no natural numbers in the input.
% 4.23/4.44  
% 4.23/4.44   c1 : 0
% 4.23/4.44  
% 4.23/4.44   f8 :
% 4.23/4.44          0 1
% 4.23/4.44      -------
% 4.23/4.44          0 0
% 4.23/4.44  
% 4.23/4.44   f10 :
% 4.23/4.44          0 1
% 4.23/4.44      -------
% 4.23/4.44          0 0
% 4.23/4.44  
% 4.23/4.44   f5 :
% 4.23/4.44        | 0 1
% 4.23/4.44      --+----
% 4.23/4.44      0 | 0 0
% 4.23/4.44      1 | 0 0
% 4.23/4.44  f1(0,0,0) = 0.
% 4.23/4.44  f1(0,0,1) = 0.
% 4.23/4.44  f1(0,1,0) = 0.
% 4.23/4.44  f1(0,1,1) = 0.
% 4.23/4.44  f1(1,0,0) = 0.
% 4.23/4.44  f1(1,0,1) = 0.
% 4.23/4.44  f1(1,1,0) = 0.
% 4.23/4.44  f1(1,1,1) = 0.
% 4.23/4.44  f6(0,0,0,0,0) = 0.
% 4.23/4.44  f6(0,0,0,0,1) = 0.
% 4.23/4.44  f6(0,0,0,1,0) = 0.
% 4.23/4.44  f6(0,0,0,1,1) = 0.
% 4.23/4.44  f6(0,0,1,0,0) = 0.
% 4.23/4.44  f6(0,0,1,0,1) = 0.
% 4.23/4.44  f6(0,0,1,1,0) = 0.
% 4.23/4.44  f6(0,0,1,1,1) = 0.
% 4.23/4.44  f6(0,1,0,0,0) = 0.
% 4.23/4.44  f6(0,1,0,0,1) = 0.
% 4.23/4.44  f6(0,1,0,1,0) = 0.
% 4.23/4.44  f6(0,1,0,1,1) = 0.
% 4.23/4.44  f6(0,1,1,0,0) = 0.
% 4.23/4.44  f6(0,1,1,0,1) = 0.
% 4.23/4.44  f6(0,1,1,1,0) = 0.
% 4.23/4.44  f6(0,1,1,1,1) = 0.
% 4.23/4.44  f6(1,0,0,0,0) = 0.
% 4.23/4.44  f6(1,0,0,0,1) = 0.
% 4.23/4.44  f6(1,0,0,1,0) = 0.
% 4.23/4.44  f6(1,0,0,1,1) = 0.
% 4.23/4.44  f6(1,0,1,0,0) = 0.
% 4.23/4.44  f6(1,0,1,0,1) = 0.
% 4.23/4.44  f6(1,0,1,1,0) = 0.
% 4.23/4.44  f6(1,0,1,1,1) = 0.
% 4.23/4.44  f6(1,1,0,0,0) = 0.
% 4.23/4.44  f6(1,1,0,0,1) = 0.
% 4.23/4.44  f6(1,1,0,1,0) = 0.
% 4.23/4.44  f6(1,1,0,1,1) = 0.
% 4.23/4.44  f6(1,1,1,0,0) = 0.
% 4.23/4.44  f6(1,1,1,0,1) = 0.
% 4.23/4.44  f6(1,1,1,1,0) = 0.
% 4.23/4.44  f6(1,1,1,1,1) = 0.
% 4.23/4.44  f9(0,0,0,0,0) = 0.
% 4.23/4.44  f9(0,0,0,0,1) = 0.
% 4.23/4.44  f9(0,0,0,1,0) = 0.
% 4.23/4.44  f9(0,0,0,1,1) = 0.
% 4.23/4.44  f9(0,0,1,0,0) = 0.
% 4.23/4.44  f9(0,0,1,0,1) = 0.
% 4.23/4.44  f9(0,0,1,1,0) = 0.
% 4.23/4.44  f9(0,0,1,1,1) = 0.
% 4.23/4.44  f9(0,1,0,0,0) = 0.
% 4.23/4.44  f9(0,1,0,0,1) = 0.
% 4.23/4.44  f9(0,1,0,1,0) = 0.
% 4.23/4.44  f9(0,1,0,1,1) = 0.
% 4.23/4.44  f9(0,1,1,0,0) = 0.
% 4.23/4.44  f9(0,1,1,0,1) = 0.
% 4.23/4.44  f9(0,1,1,1,0) = 0.
% 4.23/4.44  f9(0,1,1,1,1) = 0.
% 4.23/4.44  f9(1,0,0,0,0) = 0.
% 4.23/4.44  f9(1,0,0,0,1) = 0.
% 4.23/4.44  f9(1,0,0,1,0) = 0.
% 4.23/4.44  f9(1,0,0,1,1) = 0.
% 4.23/4.44  f9(1,0,1,0,0) = 0.
% 4.23/4.44  f9(1,0,1,0,1) = 0.
% 4.23/4.44  f9(1,0,1,1,0) = 0.
% 4.23/4.44  f9(1,0,1,1,1) = 0.
% 4.23/4.44  f9(1,1,0,0,0) = 0.
% 4.23/4.44  f9(1,1,0,0,1) = 0.
% 4.23/4.44  f9(1,1,0,1,0) = 0.
% 4.23/4.44  f9(1,1,0,1,1) = 0.
% 4.23/4.44  f9(1,1,1,0,0) = 0.
% 4.23/4.44  f9(1,1,1,0,1) = 0.
% 4.23/4.44  f9(1,1,1,1,0) = 0.
% 4.23/4.44  f9(1,1,1,1,1) = 0.
% 4.23/4.44  f2(0,0,0,0,0,0) = 0.
% 4.23/4.44  f2(0,0,0,0,0,1) = 0.
% 4.23/4.44  f2(0,0,0,0,1,0) = 0.
% 4.23/4.44  f2(0,0,0,0,1,1) = 0.
% 4.23/4.44  f2(0,0,0,1,0,0) = 0.
% 4.23/4.44  f2(0,0,0,1,0,1) = 0.
% 4.23/4.44  f2(0,0,0,1,1,0) = 0.
% 4.23/4.44  f2(0,0,0,1,1,1) = 0.
% 4.23/4.44  f2(0,0,1,0,0,0) = 0.
% 4.23/4.44  f2(0,0,1,0,0,1) = 0.
% 4.23/4.44  f2(0,0,1,0,1,0) = 0.
% 4.23/4.44  f2(0,0,1,0,1,1) = 0.
% 4.23/4.44  f2(0,0,1,1,0,0) = 0.
% 4.23/4.44  f2(0,0,1,1,0,1) = 0.
% 4.23/4.44  f2(0,0,1,1,1,0) = 0.
% 4.23/4.44  f2(0,0,1,1,1,1) = 0.
% 4.23/4.44  f2(0,1,0,0,0,0) = 0.
% 4.23/4.44  f2(0,1,0,0,0,1) = 0.
% 4.23/4.44  f2(0,1,0,0,1,0) = 0.
% 4.23/4.44  f2(0,1,0,0,1,1) = 0.
% 4.23/4.44  f2(0,1,0,1,0,0) = 0.
% 4.23/4.44  f2(0,1,0,1,0,1) = 0.
% 4.23/4.44  f2(0,1,0,1,1,0) = 0.
% 4.23/4.44  f2(0,1,0,1,1,1) = 0.
% 4.23/4.44  f2(0,1,1,0,0,0) = 0.
% 4.23/4.44  f2(0,1,1,0,0,1) = 0.
% 4.23/4.44  f2(0,1,1,0,1,0) = 0.
% 4.23/4.44  f2(0,1,1,0,1,1) = 0.
% 4.23/4.44  f2(0,1,1,1,0,0) = 0.
% 4.23/4.44  f2(0,1,1,1,0,1) = 0.
% 4.23/4.44  f2(0,1,1,1,1,0) = 0.
% 4.23/4.44  f2(0,1,1,1,1,1) = 0.
% 4.23/4.44  f2(1,0,0,0,0,0) = 0.
% 4.23/4.44  f2(1,0,0,0,0,1) = 0.
% 4.23/4.44  f2(1,0,0,0,1,0) = 0.
% 4.23/4.44  f2(1,0,0,0,1,1) = 0.
% 4.23/4.44  f2(1,0,0,1,0,0) = 0.
% 4.23/4.44  f2(1,0,0,1,0,1) = 0.
% 4.23/4.44  f2(1,0,0,1,1,0) = 0.
% 4.23/4.44  f2(1,0,0,1,1,1) = 0.
% 4.23/4.44  f2(1,0,1,0,0,0) = 0.
% 4.23/4.44  f2(1,0,1,0,0,1) = 0.
% 4.23/4.44  f2(1,0,1,0,1,0) = 0.
% 4.23/4.44  f2(1,0,1,0,1,1) = 0.
% 4.23/4.44  f2(1,0,1,1,0,0) = 0.
% 4.23/4.44  f2(1,0,1,1,0,1) = 0.
% 4.23/4.44  f2(1,0,1,1,1,0) = 0.
% 4.23/4.44  f2(1,0,1,1,1,1) = 0.
% 4.23/4.44  f2(1,1,0,0,0,0) = 0.
% 4.23/4.44  f2(1,1,0,0,0,1) = 0.
% 4.23/4.44  f2(1,1,0,0,1,0) = 0.
% 4.23/4.44  f2(1,1,0,0,1,1) = 0.
% 4.23/4.44  f2(1,1,0,1,0,0) = 0.
% 4.23/4.44  f2(1,1,0,1,0,1) = 0.
% 4.23/4.44  f2(1,1,0,1,1,0) = 0.
% 4.23/4.44  f2(1,1,0,1,1,1) = 0.
% 4.23/4.44  f2(1,1,1,0,0,0) = 0.
% 4.23/4.44  f2(1,1,1,0,0,1) = 0.
% 4.23/4.44  f2(1,1,1,0,1,0) = 0.
% 4.23/4.44  f2(1,1,1,0,1,1) = 0.
% 4.23/4.44  f2(1,1,1,1,0,0) = 0.
% 4.23/4.44  f2(1,1,1,1,0,1) = 0.
% 4.23/4.44  f2(1,1,1,1,1,0) = 0.
% 4.23/4.44  f2(1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f3(1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f7(1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.44  f4(0,0,0,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,0,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,0,1,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,0,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.45  f4(0,1,1,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(0,1,1,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,0,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.46  f4(1,0,1,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,0,1,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,0,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,0,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,0,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,0,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,0,1,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,0,1,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,0,1,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,0,1,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,0,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,0,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,0,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,0,1,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,1,0,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,1,0,1) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,1,1,0) = 0.
% 4.23/4.47  f4(1,1,1,1,1,1,1,1,1,1,1,1,1) = 0.
% 4.23/4.47  
% 4.23/4.47   p1 :
% 4.23/4.47          0 1
% 4.23/4.47      -------
% 4.23/4.47          0 0
% 4.23/4.47  
% 4.23/4.47   r1 :
% 4.23/4.47        | 0 1
% 4.23/4.47      --+----
% 4.23/4.47      0 | 1 0
% 4.23/4.47      1 | 0 1
% 4.23/4.47  
% 4.23/4.47  % SZS output end FiniteModel
% 4.23/4.47  ------ process 4172 exit (max_models) ------
% 4.23/4.47  
% 4.23/4.47  User_CPU=3.91, System_CPU=0.08, Wall_clock=4.
% 4.23/4.47  
% 4.23/4.47  Exiting with 1 model.
% 4.23/4.47  
% 4.23/4.47  Process 4172 exit (max_models) Tue Feb  7 19:26:35 2017
% 4.23/4.47  The process finished Tue Feb  7 19:26:35 2017
% 4.23/4.47  Mace4 ended
%------------------------------------------------------------------------------