TSTP Solution File: PUZ015-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : PUZ015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:23:20 EDT 2022

% Result   : Satisfiable 0.79s 1.00s
% Output   : FiniteModel 0.79s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    3

% Comments : 
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3" ) ).

fof(achievable,fi_predicates,
    ( ( achievable("1","1")
    <=> $true )
    & ( achievable("1","2")
    <=> $false )
    & ( achievable("1","3")
    <=> $true )
    & ( achievable("2","1")
    <=> $false )
    & ( achievable("2","2")
    <=> $true )
    & ( achievable("2","3")
    <=> $true )
    & ( achievable("3","1")
    <=> $true )
    & ( achievable("3","2")
    <=> $false )
    & ( achievable("3","3")
    <=> $true ) ) ).

fof(complement,fi_functors,
    ( complement("1") = "2"
    & complement("2") = "1"
    & complement("3") = "3" ) ).

fof(covered,fi_functors,
    covered = "1" ).

fof(n1,fi_functors,
    n1 = "1" ).

fof(n2,fi_functors,
    n2 = "2" ).

fof(n3,fi_functors,
    n3 = "1" ).

fof(n4,fi_functors,
    n4 = "2" ).

fof(n5,fi_functors,
    n5 = "1" ).

fof(n6,fi_functors,
    n6 = "2" ).

fof(n7,fi_functors,
    n7 = "1" ).

fof(n8,fi_functors,
    n8 = "2" ).

fof(n9,fi_functors,
    n9 = "1" ).

fof(not_covered,fi_functors,
    not_covered = "2" ).

fof(removed,fi_functors,
    removed = "1" ).

fof(row,fi_functors,
    ( row("1") = "2"
    & row("2") = "1"
    & row("3") = "1" ) ).

fof(squares,fi_functors,
    ( squares("1","1","1","1","1","1","1","1") = "3"
    & squares("1","1","1","1","1","1","1","2") = "2"
    & squares("1","1","1","1","1","1","1","3") = "3"
    & squares("1","1","1","1","1","1","2","1") = "1"
    & squares("1","1","1","1","1","1","2","2") = "3"
    & squares("1","1","1","1","1","1","2","3") = "3"
    & squares("1","1","1","1","1","1","3","1") = "3"
    & squares("1","1","1","1","1","1","3","2") = "3"
    & squares("1","1","1","1","1","1","3","3") = "3"
    & squares("1","1","1","1","1","2","1","1") = "2"
    & squares("1","1","1","1","1","2","1","2") = "3"
    & squares("1","1","1","1","1","2","1","3") = "3"
    & squares("1","1","1","1","1","2","2","1") = "3"
    & squares("1","1","1","1","1","2","2","2") = "2"
    & squares("1","1","1","1","1","2","2","3") = "3"
    & squares("1","1","1","1","1","2","3","1") = "3"
    & squares("1","1","1","1","1","2","3","2") = "3"
    & squares("1","1","1","1","1","2","3","3") = "3"
    & squares("1","1","1","1","1","3","1","1") = "3"
    & squares("1","1","1","1","1","3","1","2") = "3"
    & squares("1","1","1","1","1","3","1","3") = "3"
    & squares("1","1","1","1","1","3","2","1") = "3"
    & squares("1","1","1","1","1","3","2","2") = "3"
    & squares("1","1","1","1","1","3","2","3") = "3"
    & squares("1","1","1","1","1","3","3","1") = "3"
    & squares("1","1","1","1","1","3","3","2") = "3"
    & squares("1","1","1","1","1","3","3","3") = "3"
    & squares("1","1","1","1","2","1","1","1") = "1"
    & squares("1","1","1","1","2","1","1","2") = "3"
    & squares("1","1","1","1","2","1","1","3") = "3"
    & squares("1","1","1","1","2","1","2","1") = "3"
    & squares("1","1","1","1","2","1","2","2") = "1"
    & squares("1","1","1","1","2","1","2","3") = "3"
    & squares("1","1","1","1","2","1","3","1") = "3"
    & squares("1","1","1","1","2","1","3","2") = "3"
    & squares("1","1","1","1","2","1","3","3") = "3"
    & squares("1","1","1","1","2","2","1","1") = "3"
    & squares("1","1","1","1","2","2","1","2") = "2"
    & squares("1","1","1","1","2","2","1","3") = "3"
    & squares("1","1","1","1","2","2","2","1") = "1"
    & squares("1","1","1","1","2","2","2","2") = "3"
    & squares("1","1","1","1","2","2","2","3") = "3"
    & squares("1","1","1","1","2","2","3","1") = "3"
    & squares("1","1","1","1","2","2","3","2") = "3"
    & squares("1","1","1","1","2","2","3","3") = "3"
    & squares("1","1","1","1","2","3","1","1") = "3"
    & squares("1","1","1","1","2","3","1","2") = "3"
    & squares("1","1","1","1","2","3","1","3") = "3"
    & squares("1","1","1","1","2","3","2","1") = "3"
    & squares("1","1","1","1","2","3","2","2") = "3"
    & squares("1","1","1","1","2","3","2","3") = "3"
    & squares("1","1","1","1","2","3","3","1") = "3"
    & squares("1","1","1","1","2","3","3","2") = "3"
    & squares("1","1","1","1","2","3","3","3") = "3"
    & squares("1","1","1","1","3","1","1","1") = "3"
    & squares("1","1","1","1","3","1","1","2") = "3"
    & squares("1","1","1","1","3","1","1","3") = "3"
    & squares("1","1","1","1","3","1","2","1") = "3"
    & squares("1","1","1","1","3","1","2","2") = "3"
    & squares("1","1","1","1","3","1","2","3") = "3"
    & squares("1","1","1","1","3","1","3","1") = "3"
    & squares("1","1","1","1","3","1","3","2") = "3"
    & squares("1","1","1","1","3","1","3","3") = "3"
    & squares("1","1","1","1","3","2","1","1") = "3"
    & squares("1","1","1","1","3","2","1","2") = "3"
    & squares("1","1","1","1","3","2","1","3") = "3"
    & squares("1","1","1","1","3","2","2","1") = "3"
    & squares("1","1","1","1","3","2","2","2") = "3"
    & squares("1","1","1","1","3","2","2","3") = "3"
    & squares("1","1","1","1","3","2","3","1") = "3"
    & squares("1","1","1","1","3","2","3","2") = "3"
    & squares("1","1","1","1","3","2","3","3") = "3"
    & squares("1","1","1","1","3","3","1","1") = "3"
    & squares("1","1","1","1","3","3","1","2") = "3"
    & squares("1","1","1","1","3","3","1","3") = "3"
    & squares("1","1","1","1","3","3","2","1") = "3"
    & squares("1","1","1","1","3","3","2","2") = "3"
    & squares("1","1","1","1","3","3","2","3") = "3"
    & squares("1","1","1","1","3","3","3","1") = "3"
    & squares("1","1","1","1","3","3","3","2") = "3"
    & squares("1","1","1","1","3","3","3","3") = "3"
    & squares("1","1","1","2","1","1","1","1") = "2"
    & squares("1","1","1","2","1","1","1","2") = "3"
    & squares("1","1","1","2","1","1","1","3") = "3"
    & squares("1","1","1","2","1","1","2","1") = "3"
    & squares("1","1","1","2","1","1","2","2") = "2"
    & squares("1","1","1","2","1","1","2","3") = "3"
    & squares("1","1","1","2","1","1","3","1") = "3"
    & squares("1","1","1","2","1","1","3","2") = "3"
    & squares("1","1","1","2","1","1","3","3") = "3"
    & squares("1","1","1","2","1","2","1","1") = "3"
    & squares("1","1","1","2","1","2","1","2") = "3"
    & squares("1","1","1","2","1","2","1","3") = "3"
    & squares("1","1","1","2","1","2","2","1") = "2"
    & squares("1","1","1","2","1","2","2","2") = "3"
    & squares("1","1","1","2","1","2","2","3") = "3"
    & squares("1","1","1","2","1","2","3","1") = "3"
    & squares("1","1","1","2","1","2","3","2") = "3"
    & squares("1","1","1","2","1","2","3","3") = "3"
    & squares("1","1","1","2","1","3","1","1") = "3"
    & squares("1","1","1","2","1","3","1","2") = "3"
    & squares("1","1","1","2","1","3","1","3") = "3"
    & squares("1","1","1","2","1","3","2","1") = "3"
    & squares("1","1","1","2","1","3","2","2") = "3"
    & squares("1","1","1","2","1","3","2","3") = "3"
    & squares("1","1","1","2","1","3","3","1") = "3"
    & squares("1","1","1","2","1","3","3","2") = "3"
    & squares("1","1","1","2","1","3","3","3") = "3"
    & squares("1","1","1","2","2","1","1","1") = "3"
    & squares("1","1","1","2","2","1","1","2") = "2"
    & squares("1","1","1","2","2","1","1","3") = "3"
    & squares("1","1","1","2","2","1","2","1") = "1"
    & squares("1","1","1","2","2","1","2","2") = "3"
    & squares("1","1","1","2","2","1","2","3") = "3"
    & squares("1","1","1","2","2","1","3","1") = "3"
    & squares("1","1","1","2","2","1","3","2") = "3"
    & squares("1","1","1","2","2","1","3","3") = "3"
    & squares("1","1","1","2","2","2","1","1") = "2"
    & squares("1","1","1","2","2","2","1","2") = "3"
    & squares("1","1","1","2","2","2","1","3") = "3"
    & squares("1","1","1","2","2","2","2","1") = "3"
    & squares("1","1","1","2","2","2","2","2") = "2"
    & squares("1","1","1","2","2","2","2","3") = "3"
    & squares("1","1","1","2","2","2","3","1") = "3"
    & squares("1","1","1","2","2","2","3","2") = "3"
    & squares("1","1","1","2","2","2","3","3") = "3"
    & squares("1","1","1","2","2","3","1","1") = "3"
    & squares("1","1","1","2","2","3","1","2") = "3"
    & squares("1","1","1","2","2","3","1","3") = "3"
    & squares("1","1","1","2","2","3","2","1") = "3"
    & squares("1","1","1","2","2","3","2","2") = "3"
    & squares("1","1","1","2","2","3","2","3") = "3"
    & squares("1","1","1","2","2","3","3","1") = "3"
    & squares("1","1","1","2","2","3","3","2") = "3"
    & squares("1","1","1","2","2","3","3","3") = "3"
    & squares("1","1","1","2","3","1","1","1") = "3"
    & squares("1","1","1","2","3","1","1","2") = "3"
    & squares("1","1","1","2","3","1","1","3") = "3"
    & squares("1","1","1","2","3","1","2","1") = "3"
    & squares("1","1","1","2","3","1","2","2") = "3"
    & squares("1","1","1","2","3","1","2","3") = "3"
    & squares("1","1","1","2","3","1","3","1") = "3"
    & squares("1","1","1","2","3","1","3","2") = "3"
    & squares("1","1","1","2","3","1","3","3") = "3"
    & squares("1","1","1","2","3","2","1","1") = "3"
    & squares("1","1","1","2","3","2","1","2") = "3"
    & squares("1","1","1","2","3","2","1","3") = "3"
    & squares("1","1","1","2","3","2","2","1") = "3"
    & squares("1","1","1","2","3","2","2","2") = "3"
    & squares("1","1","1","2","3","2","2","3") = "3"
    & squares("1","1","1","2","3","2","3","1") = "3"
    & squares("1","1","1","2","3","2","3","2") = "3"
    & squares("1","1","1","2","3","2","3","3") = "3"
    & squares("1","1","1","2","3","3","1","1") = "3"
    & squares("1","1","1","2","3","3","1","2") = "3"
    & squares("1","1","1","2","3","3","1","3") = "3"
    & squares("1","1","1","2","3","3","2","1") = "3"
    & squares("1","1","1","2","3","3","2","2") = "3"
    & squares("1","1","1","2","3","3","2","3") = "3"
    & squares("1","1","1","2","3","3","3","1") = "3"
    & squares("1","1","1","2","3","3","3","2") = "3"
    & squares("1","1","1","2","3","3","3","3") = "3"
    & squares("1","1","1","3","1","1","1","1") = "3"
    & squares("1","1","1","3","1","1","1","2") = "3"
    & squares("1","1","1","3","1","1","1","3") = "3"
    & squares("1","1","1","3","1","1","2","1") = "3"
    & squares("1","1","1","3","1","1","2","2") = "3"
    & squares("1","1","1","3","1","1","2","3") = "3"
    & squares("1","1","1","3","1","1","3","1") = "3"
    & squares("1","1","1","3","1","1","3","2") = "3"
    & squares("1","1","1","3","1","1","3","3") = "3"
    & squares("1","1","1","3","1","2","1","1") = "3"
    & squares("1","1","1","3","1","2","1","2") = "3"
    & squares("1","1","1","3","1","2","1","3") = "3"
    & squares("1","1","1","3","1","2","2","1") = "3"
    & squares("1","1","1","3","1","2","2","2") = "3"
    & squares("1","1","1","3","1","2","2","3") = "3"
    & squares("1","1","1","3","1","2","3","1") = "3"
    & squares("1","1","1","3","1","2","3","2") = "3"
    & squares("1","1","1","3","1","2","3","3") = "3"
    & squares("1","1","1","3","1","3","1","1") = "3"
    & squares("1","1","1","3","1","3","1","2") = "3"
    & squares("1","1","1","3","1","3","1","3") = "3"
    & squares("1","1","1","3","1","3","2","1") = "3"
    & squares("1","1","1","3","1","3","2","2") = "3"
    & squares("1","1","1","3","1","3","2","3") = "3"
    & squares("1","1","1","3","1","3","3","1") = "3"
    & squares("1","1","1","3","1","3","3","2") = "3"
    & squares("1","1","1","3","1","3","3","3") = "3"
    & squares("1","1","1","3","2","1","1","1") = "3"
    & squares("1","1","1","3","2","1","1","2") = "3"
    & squares("1","1","1","3","2","1","1","3") = "3"
    & squares("1","1","1","3","2","1","2","1") = "3"
    & squares("1","1","1","3","2","1","2","2") = "3"
    & squares("1","1","1","3","2","1","2","3") = "3"
    & squares("1","1","1","3","2","1","3","1") = "3"
    & squares("1","1","1","3","2","1","3","2") = "3"
    & squares("1","1","1","3","2","1","3","3") = "3"
    & squares("1","1","1","3","2","2","1","1") = "3"
    & squares("1","1","1","3","2","2","1","2") = "3"
    & squares("1","1","1","3","2","2","1","3") = "3"
    & squares("1","1","1","3","2","2","2","1") = "3"
    & squares("1","1","1","3","2","2","2","2") = "3"
    & squares("1","1","1","3","2","2","2","3") = "3"
    & squares("1","1","1","3","2","2","3","1") = "3"
    & squares("1","1","1","3","2","2","3","2") = "3"
    & squares("1","1","1","3","2","2","3","3") = "3"
    & squares("1","1","1","3","2","3","1","1") = "3"
    & squares("1","1","1","3","2","3","1","2") = "3"
    & squares("1","1","1","3","2","3","1","3") = "3"
    & squares("1","1","1","3","2","3","2","1") = "3"
    & squares("1","1","1","3","2","3","2","2") = "3"
    & squares("1","1","1","3","2","3","2","3") = "3"
    & squares("1","1","1","3","2","3","3","1") = "3"
    & squares("1","1","1","3","2","3","3","2") = "3"
    & squares("1","1","1","3","2","3","3","3") = "3"
    & squares("1","1","1","3","3","1","1","1") = "3"
    & squares("1","1","1","3","3","1","1","2") = "3"
    & squares("1","1","1","3","3","1","1","3") = "3"
    & squares("1","1","1","3","3","1","2","1") = "3"
    & squares("1","1","1","3","3","1","2","2") = "3"
    & squares("1","1","1","3","3","1","2","3") = "3"
    & squares("1","1","1","3","3","1","3","1") = "3"
    & squares("1","1","1","3","3","1","3","2") = "3"
    & squares("1","1","1","3","3","1","3","3") = "3"
    & squares("1","1","1","3","3","2","1","1") = "3"
    & squares("1","1","1","3","3","2","1","2") = "3"
    & squares("1","1","1","3","3","2","1","3") = "3"
    & squares("1","1","1","3","3","2","2","1") = "3"
    & squares("1","1","1","3","3","2","2","2") = "3"
    & squares("1","1","1","3","3","2","2","3") = "3"
    & squares("1","1","1","3","3","2","3","1") = "3"
    & squares("1","1","1","3","3","2","3","2") = "3"
    & squares("1","1","1","3","3","2","3","3") = "3"
    & squares("1","1","1","3","3","3","1","1") = "3"
    & squares("1","1","1","3","3","3","1","2") = "3"
    & squares("1","1","1","3","3","3","1","3") = "3"
    & squares("1","1","1","3","3","3","2","1") = "3"
    & squares("1","1","1","3","3","3","2","2") = "3"
    & squares("1","1","1","3","3","3","2","3") = "3"
    & squares("1","1","1","3","3","3","3","1") = "3"
    & squares("1","1","1","3","3","3","3","2") = "3"
    & squares("1","1","1","3","3","3","3","3") = "3"
    & squares("1","1","2","1","1","1","1","1") = "1"
    & squares("1","1","2","1","1","1","1","2") = "3"
    & squares("1","1","2","1","1","1","1","3") = "3"
    & squares("1","1","2","1","1","1","2","1") = "3"
    & squares("1","1","2","1","1","1","2","2") = "1"
    & squares("1","1","2","1","1","1","2","3") = "3"
    & squares("1","1","2","1","1","1","3","1") = "3"
    & squares("1","1","2","1","1","1","3","2") = "3"
    & squares("1","1","2","1","1","1","3","3") = "3"
    & squares("1","1","2","1","1","2","1","1") = "3"
    & squares("1","1","2","1","1","2","1","2") = "2"
    & squares("1","1","2","1","1","2","1","3") = "3"
    & squares("1","1","2","1","1","2","2","1") = "1"
    & squares("1","1","2","1","1","2","2","2") = "3"
    & squares("1","1","2","1","1","2","2","3") = "3"
    & squares("1","1","2","1","1","2","3","1") = "3"
    & squares("1","1","2","1","1","2","3","2") = "3"
    & squares("1","1","2","1","1","2","3","3") = "3"
    & squares("1","1","2","1","1","3","1","1") = "3"
    & squares("1","1","2","1","1","3","1","2") = "3"
    & squares("1","1","2","1","1","3","1","3") = "3"
    & squares("1","1","2","1","1","3","2","1") = "3"
    & squares("1","1","2","1","1","3","2","2") = "3"
    & squares("1","1","2","1","1","3","2","3") = "3"
    & squares("1","1","2","1","1","3","3","1") = "3"
    & squares("1","1","2","1","1","3","3","2") = "3"
    & squares("1","1","2","1","1","3","3","3") = "3"
    & squares("1","1","2","1","2","1","1","1") = "3"
    & squares("1","1","2","1","2","1","1","2") = "1"
    & squares("1","1","2","1","2","1","1","3") = "3"
    & squares("1","1","2","1","2","1","2","1") = "3"
    & squares("1","1","2","1","2","1","2","2") = "3"
    & squares("1","1","2","1","2","1","2","3") = "3"
    & squares("1","1","2","1","2","1","3","1") = "3"
    & squares("1","1","2","1","2","1","3","2") = "3"
    & squares("1","1","2","1","2","1","3","3") = "3"
    & squares("1","1","2","1","2","2","1","1") = "1"
    & squares("1","1","2","1","2","2","1","2") = "3"
    & squares("1","1","2","1","2","2","1","3") = "3"
    & squares("1","1","2","1","2","2","2","1") = "3"
    & squares("1","1","2","1","2","2","2","2") = "1"
    & squares("1","1","2","1","2","2","2","3") = "3"
    & squares("1","1","2","1","2","2","3","1") = "3"
    & squares("1","1","2","1","2","2","3","2") = "3"
    & squares("1","1","2","1","2","2","3","3") = "3"
    & squares("1","1","2","1","2","3","1","1") = "3"
    & squares("1","1","2","1","2","3","1","2") = "3"
    & squares("1","1","2","1","2","3","1","3") = "3"
    & squares("1","1","2","1","2","3","2","1") = "3"
    & squares("1","1","2","1","2","3","2","2") = "3"
    & squares("1","1","2","1","2","3","2","3") = "3"
    & squares("1","1","2","1","2","3","3","1") = "3"
    & squares("1","1","2","1","2","3","3","2") = "3"
    & squares("1","1","2","1","2","3","3","3") = "3"
    & squares("1","1","2","1","3","1","1","1") = "3"
    & squares("1","1","2","1","3","1","1","2") = "3"
    & squares("1","1","2","1","3","1","1","3") = "3"
    & squares("1","1","2","1","3","1","2","1") = "3"
    & squares("1","1","2","1","3","1","2","2") = "3"
    & squares("1","1","2","1","3","1","2","3") = "3"
    & squares("1","1","2","1","3","1","3","1") = "3"
    & squares("1","1","2","1","3","1","3","2") = "3"
    & squares("1","1","2","1","3","1","3","3") = "3"
    & squares("1","1","2","1","3","2","1","1") = "3"
    & squares("1","1","2","1","3","2","1","2") = "3"
    & squares("1","1","2","1","3","2","1","3") = "3"
    & squares("1","1","2","1","3","2","2","1") = "3"
    & squares("1","1","2","1","3","2","2","2") = "3"
    & squares("1","1","2","1","3","2","2","3") = "3"
    & squares("1","1","2","1","3","2","3","1") = "3"
    & squares("1","1","2","1","3","2","3","2") = "3"
    & squares("1","1","2","1","3","2","3","3") = "3"
    & squares("1","1","2","1","3","3","1","1") = "3"
    & squares("1","1","2","1","3","3","1","2") = "3"
    & squares("1","1","2","1","3","3","1","3") = "3"
    & squares("1","1","2","1","3","3","2","1") = "3"
    & squares("1","1","2","1","3","3","2","2") = "3"
    & squares("1","1","2","1","3","3","2","3") = "3"
    & squares("1","1","2","1","3","3","3","1") = "3"
    & squares("1","1","2","1","3","3","3","2") = "3"
    & squares("1","1","2","1","3","3","3","3") = "3"
    & squares("1","1","2","2","1","1","1","1") = "3"
    & squares("1","1","2","2","1","1","1","2") = "2"
    & squares("1","1","2","2","1","1","1","3") = "3"
    & squares("1","1","2","2","1","1","2","1") = "1"
    & squares("1","1","2","2","1","1","2","2") = "3"
    & squares("1","1","2","2","1","1","2","3") = "3"
    & squares("1","1","2","2","1","1","3","1") = "3"
    & squares("1","1","2","2","1","1","3","2") = "3"
    & squares("1","1","2","2","1","1","3","3") = "3"
    & squares("1","1","2","2","1","2","1","1") = "2"
    & squares("1","1","2","2","1","2","1","2") = "3"
    & squares("1","1","2","2","1","2","1","3") = "3"
    & squares("1","1","2","2","1","2","2","1") = "3"
    & squares("1","1","2","2","1","2","2","2") = "2"
    & squares("1","1","2","2","1","2","2","3") = "3"
    & squares("1","1","2","2","1","2","3","1") = "3"
    & squares("1","1","2","2","1","2","3","2") = "3"
    & squares("1","1","2","2","1","2","3","3") = "3"
    & squares("1","1","2","2","1","3","1","1") = "3"
    & squares("1","1","2","2","1","3","1","2") = "3"
    & squares("1","1","2","2","1","3","1","3") = "3"
    & squares("1","1","2","2","1","3","2","1") = "3"
    & squares("1","1","2","2","1","3","2","2") = "3"
    & squares("1","1","2","2","1","3","2","3") = "3"
    & squares("1","1","2","2","1","3","3","1") = "3"
    & squares("1","1","2","2","1","3","3","2") = "3"
    & squares("1","1","2","2","1","3","3","3") = "3"
    & squares("1","1","2","2","2","1","1","1") = "1"
    & squares("1","1","2","2","2","1","1","2") = "3"
    & squares("1","1","2","2","2","1","1","3") = "3"
    & squares("1","1","2","2","2","1","2","1") = "3"
    & squares("1","1","2","2","2","1","2","2") = "1"
    & squares("1","1","2","2","2","1","2","3") = "3"
    & squares("1","1","2","2","2","1","3","1") = "3"
    & squares("1","1","2","2","2","1","3","2") = "3"
    & squares("1","1","2","2","2","1","3","3") = "3"
    & squares("1","1","2","2","2","2","1","1") = "3"
    & squares("1","1","2","2","2","2","1","2") = "2"
    & squares("1","1","2","2","2","2","1","3") = "3"
    & squares("1","1","2","2","2","2","2","1") = "1"
    & squares("1","1","2","2","2","2","2","2") = "3"
    & squares("1","1","2","2","2","2","2","3") = "3"
    & squares("1","1","2","2","2","2","3","1") = "3"
    & squares("1","1","2","2","2","2","3","2") = "3"
    & squares("1","1","2","2","2","2","3","3") = "3"
    & squares("1","1","2","2","2","3","1","1") = "3"
    & squares("1","1","2","2","2","3","1","2") = "3"
    & squares("1","1","2","2","2","3","1","3") = "3"
    & squares("1","1","2","2","2","3","2","1") = "3"
    & squares("1","1","2","2","2","3","2","2") = "3"
    & squares("1","1","2","2","2","3","2","3") = "3"
    & squares("1","1","2","2","2","3","3","1") = "3"
    & squares("1","1","2","2","2","3","3","2") = "3"
    & squares("1","1","2","2","2","3","3","3") = "3"
    & squares("1","1","2","2","3","1","1","1") = "3"
    & squares("1","1","2","2","3","1","1","2") = "3"
    & squares("1","1","2","2","3","1","1","3") = "3"
    & squares("1","1","2","2","3","1","2","1") = "3"
    & squares("1","1","2","2","3","1","2","2") = "3"
    & squares("1","1","2","2","3","1","2","3") = "3"
    & squares("1","1","2","2","3","1","3","1") = "3"
    & squares("1","1","2","2","3","1","3","2") = "3"
    & squares("1","1","2","2","3","1","3","3") = "3"
    & squares("1","1","2","2","3","2","1","1") = "3"
    & squares("1","1","2","2","3","2","1","2") = "3"
    & squares("1","1","2","2","3","2","1","3") = "3"
    & squares("1","1","2","2","3","2","2","1") = "3"
    & squares("1","1","2","2","3","2","2","2") = "3"
    & squares("1","1","2","2","3","2","2","3") = "3"
    & squares("1","1","2","2","3","2","3","1") = "3"
    & squares("1","1","2","2","3","2","3","2") = "3"
    & squares("1","1","2","2","3","2","3","3") = "3"
    & squares("1","1","2","2","3","3","1","1") = "3"
    & squares("1","1","2","2","3","3","1","2") = "3"
    & squares("1","1","2","2","3","3","1","3") = "3"
    & squares("1","1","2","2","3","3","2","1") = "3"
    & squares("1","1","2","2","3","3","2","2") = "3"
    & squares("1","1","2","2","3","3","2","3") = "3"
    & squares("1","1","2","2","3","3","3","1") = "3"
    & squares("1","1","2","2","3","3","3","2") = "3"
    & squares("1","1","2","2","3","3","3","3") = "3"
    & squares("1","1","2","3","1","1","1","1") = "3"
    & squares("1","1","2","3","1","1","1","2") = "3"
    & squares("1","1","2","3","1","1","1","3") = "3"
    & squares("1","1","2","3","1","1","2","1") = "3"
    & squares("1","1","2","3","1","1","2","2") = "3"
    & squares("1","1","2","3","1","1","2","3") = "3"
    & squares("1","1","2","3","1","1","3","1") = "3"
    & squares("1","1","2","3","1","1","3","2") = "3"
    & squares("1","1","2","3","1","1","3","3") = "3"
    & squares("1","1","2","3","1","2","1","1") = "3"
    & squares("1","1","2","3","1","2","1","2") = "3"
    & squares("1","1","2","3","1","2","1","3") = "3"
    & squares("1","1","2","3","1","2","2","1") = "3"
    & squares("1","1","2","3","1","2","2","2") = "3"
    & squares("1","1","2","3","1","2","2","3") = "3"
    & squares("1","1","2","3","1","2","3","1") = "3"
    & squares("1","1","2","3","1","2","3","2") = "3"
    & squares("1","1","2","3","1","2","3","3") = "3"
    & squares("1","1","2","3","1","3","1","1") = "3"
    & squares("1","1","2","3","1","3","1","2") = "3"
    & squares("1","1","2","3","1","3","1","3") = "3"
    & squares("1","1","2","3","1","3","2","1") = "3"
    & squares("1","1","2","3","1","3","2","2") = "3"
    & squares("1","1","2","3","1","3","2","3") = "3"
    & squares("1","1","2","3","1","3","3","1") = "3"
    & squares("1","1","2","3","1","3","3","2") = "3"
    & squares("1","1","2","3","1","3","3","3") = "3"
    & squares("1","1","2","3","2","1","1","1") = "3"
    & squares("1","1","2","3","2","1","1","2") = "3"
    & squares("1","1","2","3","2","1","1","3") = "3"
    & squares("1","1","2","3","2","1","2","1") = "3"
    & squares("1","1","2","3","2","1","2","2") = "3"
    & squares("1","1","2","3","2","1","2","3") = "3"
    & squares("1","1","2","3","2","1","3","1") = "3"
    & squares("1","1","2","3","2","1","3","2") = "3"
    & squares("1","1","2","3","2","1","3","3") = "3"
    & squares("1","1","2","3","2","2","1","1") = "3"
    & squares("1","1","2","3","2","2","1","2") = "3"
    & squares("1","1","2","3","2","2","1","3") = "3"
    & squares("1","1","2","3","2","2","2","1") = "3"
    & squares("1","1","2","3","2","2","2","2") = "3"
    & squares("1","1","2","3","2","2","2","3") = "3"
    & squares("1","1","2","3","2","2","3","1") = "3"
    & squares("1","1","2","3","2","2","3","2") = "3"
    & squares("1","1","2","3","2","2","3","3") = "3"
    & squares("1","1","2","3","2","3","1","1") = "3"
    & squares("1","1","2","3","2","3","1","2") = "3"
    & squares("1","1","2","3","2","3","1","3") = "3"
    & squares("1","1","2","3","2","3","2","1") = "3"
    & squares("1","1","2","3","2","3","2","2") = "3"
    & squares("1","1","2","3","2","3","2","3") = "3"
    & squares("1","1","2","3","2","3","3","1") = "3"
    & squares("1","1","2","3","2","3","3","2") = "3"
    & squares("1","1","2","3","2","3","3","3") = "3"
    & squares("1","1","2","3","3","1","1","1") = "3"
    & squares("1","1","2","3","3","1","1","2") = "3"
    & squares("1","1","2","3","3","1","1","3") = "3"
    & squares("1","1","2","3","3","1","2","1") = "3"
    & squares("1","1","2","3","3","1","2","2") = "3"
    & squares("1","1","2","3","3","1","2","3") = "3"
    & squares("1","1","2","3","3","1","3","1") = "3"
    & squares("1","1","2","3","3","1","3","2") = "3"
    & squares("1","1","2","3","3","1","3","3") = "3"
    & squares("1","1","2","3","3","2","1","1") = "3"
    & squares("1","1","2","3","3","2","1","2") = "3"
    & squares("1","1","2","3","3","2","1","3") = "3"
    & squares("1","1","2","3","3","2","2","1") = "3"
    & squares("1","1","2","3","3","2","2","2") = "3"
    & squares("1","1","2","3","3","2","2","3") = "3"
    & squares("1","1","2","3","3","2","3","1") = "3"
    & squares("1","1","2","3","3","2","3","2") = "3"
    & squares("1","1","2","3","3","2","3","3") = "3"
    & squares("1","1","2","3","3","3","1","1") = "3"
    & squares("1","1","2","3","3","3","1","2") = "3"
    & squares("1","1","2","3","3","3","1","3") = "3"
    & squares("1","1","2","3","3","3","2","1") = "3"
    & squares("1","1","2","3","3","3","2","2") = "3"
    & squares("1","1","2","3","3","3","2","3") = "3"
    & squares("1","1","2","3","3","3","3","1") = "3"
    & squares("1","1","2","3","3","3","3","2") = "3"
    & squares("1","1","2","3","3","3","3","3") = "3"
    & squares("1","1","3","1","1","1","1","1") = "3"
    & squares("1","1","3","1","1","1","1","2") = "3"
    & squares("1","1","3","1","1","1","1","3") = "3"
    & squares("1","1","3","1","1","1","2","1") = "3"
    & squares("1","1","3","1","1","1","2","2") = "3"
    & squares("1","1","3","1","1","1","2","3") = "3"
    & squares("1","1","3","1","1","1","3","1") = "3"
    & squares("1","1","3","1","1","1","3","2") = "3"
    & squares("1","1","3","1","1","1","3","3") = "3"
    & squares("1","1","3","1","1","2","1","1") = "3"
    & squares("1","1","3","1","1","2","1","2") = "3"
    & squares("1","1","3","1","1","2","1","3") = "3"
    & squares("1","1","3","1","1","2","2","1") = "3"
    & squares("1","1","3","1","1","2","2","2") = "3"
    & squares("1","1","3","1","1","2","2","3") = "3"
    & squares("1","1","3","1","1","2","3","1") = "3"
    & squares("1","1","3","1","1","2","3","2") = "3"
    & squares("1","1","3","1","1","2","3","3") = "3"
    & squares("1","1","3","1","1","3","1","1") = "3"
    & squares("1","1","3","1","1","3","1","2") = "3"
    & squares("1","1","3","1","1","3","1","3") = "3"
    & squares("1","1","3","1","1","3","2","1") = "3"
    & squares("1","1","3","1","1","3","2","2") = "3"
    & squares("1","1","3","1","1","3","2","3") = "3"
    & squares("1","1","3","1","1","3","3","1") = "3"
    & squares("1","1","3","1","1","3","3","2") = "3"
    & squares("1","1","3","1","1","3","3","3") = "3"
    & squares("1","1","3","1","2","1","1","1") = "3"
    & squares("1","1","3","1","2","1","1","2") = "3"
    & squares("1","1","3","1","2","1","1","3") = "3"
    & squares("1","1","3","1","2","1","2","1") = "3"
    & squares("1","1","3","1","2","1","2","2") = "3"
    & squares("1","1","3","1","2","1","2","3") = "3"
    & squares("1","1","3","1","2","1","3","1") = "3"
    & squares("1","1","3","1","2","1","3","2") = "3"
    & squares("1","1","3","1","2","1","3","3") = "3"
    & squares("1","1","3","1","2","2","1","1") = "3"
    & squares("1","1","3","1","2","2","1","2") = "3"
    & squares("1","1","3","1","2","2","1","3") = "3"
    & squares("1","1","3","1","2","2","2","1") = "3"
    & squares("1","1","3","1","2","2","2","2") = "3"
    & squares("1","1","3","1","2","2","2","3") = "3"
    & squares("1","1","3","1","2","2","3","1") = "3"
    & squares("1","1","3","1","2","2","3","2") = "3"
    & squares("1","1","3","1","2","2","3","3") = "3"
    & squares("1","1","3","1","2","3","1","1") = "3"
    & squares("1","1","3","1","2","3","1","2") = "3"
    & squares("1","1","3","1","2","3","1","3") = "3"
    & squares("1","1","3","1","2","3","2","1") = "3"
    & squares("1","1","3","1","2","3","2","2") = "3"
    & squares("1","1","3","1","2","3","2","3") = "3"
    & squares("1","1","3","1","2","3","3","1") = "3"
    & squares("1","1","3","1","2","3","3","2") = "3"
    & squares("1","1","3","1","2","3","3","3") = "3"
    & squares("1","1","3","1","3","1","1","1") = "3"
    & squares("1","1","3","1","3","1","1","2") = "3"
    & squares("1","1","3","1","3","1","1","3") = "3"
    & squares("1","1","3","1","3","1","2","1") = "3"
    & squares("1","1","3","1","3","1","2","2") = "3"
    & squares("1","1","3","1","3","1","2","3") = "3"
    & squares("1","1","3","1","3","1","3","1") = "3"
    & squares("1","1","3","1","3","1","3","2") = "3"
    & squares("1","1","3","1","3","1","3","3") = "3"
    & squares("1","1","3","1","3","2","1","1") = "3"
    & squares("1","1","3","1","3","2","1","2") = "3"
    & squares("1","1","3","1","3","2","1","3") = "3"
    & squares("1","1","3","1","3","2","2","1") = "3"
    & squares("1","1","3","1","3","2","2","2") = "3"
    & squares("1","1","3","1","3","2","2","3") = "3"
    & squares("1","1","3","1","3","2","3","1") = "3"
    & squares("1","1","3","1","3","2","3","2") = "3"
    & squares("1","1","3","1","3","2","3","3") = "3"
    & squares("1","1","3","1","3","3","1","1") = "3"
    & squares("1","1","3","1","3","3","1","2") = "3"
    & squares("1","1","3","1","3","3","1","3") = "3"
    & squares("1","1","3","1","3","3","2","1") = "3"
    & squares("1","1","3","1","3","3","2","2") = "3"
    & squares("1","1","3","1","3","3","2","3") = "3"
    & squares("1","1","3","1","3","3","3","1") = "3"
    & squares("1","1","3","1","3","3","3","2") = "3"
    & squares("1","1","3","1","3","3","3","3") = "3"
    & squares("1","1","3","2","1","1","1","1") = "3"
    & squares("1","1","3","2","1","1","1","2") = "3"
    & squares("1","1","3","2","1","1","1","3") = "3"
    & squares("1","1","3","2","1","1","2","1") = "3"
    & squares("1","1","3","2","1","1","2","2") = "3"
    & squares("1","1","3","2","1","1","2","3") = "3"
    & squares("1","1","3","2","1","1","3","1") = "3"
    & squares("1","1","3","2","1","1","3","2") = "3"
    & squares("1","1","3","2","1","1","3","3") = "3"
    & squares("1","1","3","2","1","2","1","1") = "3"
    & squares("1","1","3","2","1","2","1","2") = "3"
    & squares("1","1","3","2","1","2","1","3") = "3"
    & squares("1","1","3","2","1","2","2","1") = "3"
    & squares("1","1","3","2","1","2","2","2") = "3"
    & squares("1","1","3","2","1","2","2","3") = "3"
    & squares("1","1","3","2","1","2","3","1") = "3"
    & squares("1","1","3","2","1","2","3","2") = "3"
    & squares("1","1","3","2","1","2","3","3") = "3"
    & squares("1","1","3","2","1","3","1","1") = "3"
    & squares("1","1","3","2","1","3","1","2") = "3"
    & squares("1","1","3","2","1","3","1","3") = "3"
    & squares("1","1","3","2","1","3","2","1") = "3"
    & squares("1","1","3","2","1","3","2","2") = "3"
    & squares("1","1","3","2","1","3","2","3") = "3"
    & squares("1","1","3","2","1","3","3","1") = "3"
    & squares("1","1","3","2","1","3","3","2") = "3"
    & squares("1","1","3","2","1","3","3","3") = "3"
    & squares("1","1","3","2","2","1","1","1") = "3"
    & squares("1","1","3","2","2","1","1","2") = "3"
    & squares("1","1","3","2","2","1","1","3") = "3"
    & squares("1","1","3","2","2","1","2","1") = "3"
    & squares("1","1","3","2","2","1","2","2") = "3"
    & squares("1","1","3","2","2","1","2","3") = "3"
    & squares("1","1","3","2","2","1","3","1") = "3"
    & squares("1","1","3","2","2","1","3","2") = "3"
    & squares("1","1","3","2","2","1","3","3") = "3"
    & squares("1","1","3","2","2","2","1","1") = "3"
    & squares("1","1","3","2","2","2","1","2") = "3"
    & squares("1","1","3","2","2","2","1","3") = "3"
    & squares("1","1","3","2","2","2","2","1") = "3"
    & squares("1","1","3","2","2","2","2","2") = "3"
    & squares("1","1","3","2","2","2","2","3") = "3"
    & squares("1","1","3","2","2","2","3","1") = "3"
    & squares("1","1","3","2","2","2","3","2") = "3"
    & squares("1","1","3","2","2","2","3","3") = "3"
    & squares("1","1","3","2","2","3","1","1") = "3"
    & squares("1","1","3","2","2","3","1","2") = "3"
    & squares("1","1","3","2","2","3","1","3") = "3"
    & squares("1","1","3","2","2","3","2","1") = "3"
    & squares("1","1","3","2","2","3","2","2") = "3"
    & squares("1","1","3","2","2","3","2","3") = "3"
    & squares("1","1","3","2","2","3","3","1") = "3"
    & squares("1","1","3","2","2","3","3","2") = "3"
    & squares("1","1","3","2","2","3","3","3") = "3"
    & squares("1","1","3","2","3","1","1","1") = "3"
    & squares("1","1","3","2","3","1","1","2") = "3"
    & squares("1","1","3","2","3","1","1","3") = "3"
    & squares("1","1","3","2","3","1","2","1") = "3"
    & squares("1","1","3","2","3","1","2","2") = "3"
    & squares("1","1","3","2","3","1","2","3") = "3"
    & squares("1","1","3","2","3","1","3","1") = "3"
    & squares("1","1","3","2","3","1","3","2") = "3"
    & squares("1","1","3","2","3","1","3","3") = "3"
    & squares("1","1","3","2","3","2","1","1") = "3"
    & squares("1","1","3","2","3","2","1","2") = "3"
    & squares("1","1","3","2","3","2","1","3") = "3"
    & squares("1","1","3","2","3","2","2","1") = "3"
    & squares("1","1","3","2","3","2","2","2") = "3"
    & squares("1","1","3","2","3","2","2","3") = "3"
    & squares("1","1","3","2","3","2","3","1") = "3"
    & squares("1","1","3","2","3","2","3","2") = "3"
    & squares("1","1","3","2","3","2","3","3") = "3"
    & squares("1","1","3","2","3","3","1","1") = "3"
    & squares("1","1","3","2","3","3","1","2") = "3"
    & squares("1","1","3","2","3","3","1","3") = "3"
    & squares("1","1","3","2","3","3","2","1") = "3"
    & squares("1","1","3","2","3","3","2","2") = "3"
    & squares("1","1","3","2","3","3","2","3") = "3"
    & squares("1","1","3","2","3","3","3","1") = "3"
    & squares("1","1","3","2","3","3","3","2") = "3"
    & squares("1","1","3","2","3","3","3","3") = "3"
    & squares("1","1","3","3","1","1","1","1") = "3"
    & squares("1","1","3","3","1","1","1","2") = "3"
    & squares("1","1","3","3","1","1","1","3") = "3"
    & squares("1","1","3","3","1","1","2","1") = "3"
    & squares("1","1","3","3","1","1","2","2") = "3"
    & squares("1","1","3","3","1","1","2","3") = "3"
    & squares("1","1","3","3","1","1","3","1") = "3"
    & squares("1","1","3","3","1","1","3","2") = "3"
    & squares("1","1","3","3","1","1","3","3") = "3"
    & squares("1","1","3","3","1","2","1","1") = "3"
    & squares("1","1","3","3","1","2","1","2") = "3"
    & squares("1","1","3","3","1","2","1","3") = "3"
    & squares("1","1","3","3","1","2","2","1") = "3"
    & squares("1","1","3","3","1","2","2","2") = "3"
    & squares("1","1","3","3","1","2","2","3") = "3"
    & squares("1","1","3","3","1","2","3","1") = "3"
    & squares("1","1","3","3","1","2","3","2") = "3"
    & squares("1","1","3","3","1","2","3","3") = "3"
    & squares("1","1","3","3","1","3","1","1") = "3"
    & squares("1","1","3","3","1","3","1","2") = "3"
    & squares("1","1","3","3","1","3","1","3") = "3"
    & squares("1","1","3","3","1","3","2","1") = "3"
    & squares("1","1","3","3","1","3","2","2") = "3"
    & squares("1","1","3","3","1","3","2","3") = "3"
    & squares("1","1","3","3","1","3","3","1") = "3"
    & squares("1","1","3","3","1","3","3","2") = "3"
    & squares("1","1","3","3","1","3","3","3") = "3"
    & squares("1","1","3","3","2","1","1","1") = "3"
    & squares("1","1","3","3","2","1","1","2") = "3"
    & squares("1","1","3","3","2","1","1","3") = "3"
    & squares("1","1","3","3","2","1","2","1") = "3"
    & squares("1","1","3","3","2","1","2","2") = "3"
    & squares("1","1","3","3","2","1","2","3") = "3"
    & squares("1","1","3","3","2","1","3","1") = "3"
    & squares("1","1","3","3","2","1","3","2") = "3"
    & squares("1","1","3","3","2","1","3","3") = "3"
    & squares("1","1","3","3","2","2","1","1") = "3"
    & squares("1","1","3","3","2","2","1","2") = "3"
    & squares("1","1","3","3","2","2","1","3") = "3"
    & squares("1","1","3","3","2","2","2","1") = "3"
    & squares("1","1","3","3","2","2","2","2") = "3"
    & squares("1","1","3","3","2","2","2","3") = "3"
    & squares("1","1","3","3","2","2","3","1") = "3"
    & squares("1","1","3","3","2","2","3","2") = "3"
    & squares("1","1","3","3","2","2","3","3") = "3"
    & squares("1","1","3","3","2","3","1","1") = "3"
    & squares("1","1","3","3","2","3","1","2") = "3"
    & squares("1","1","3","3","2","3","1","3") = "3"
    & squares("1","1","3","3","2","3","2","1") = "3"
    & squares("1","1","3","3","2","3","2","2") = "3"
    & squares("1","1","3","3","2","3","2","3") = "3"
    & squares("1","1","3","3","2","3","3","1") = "3"
    & squares("1","1","3","3","2","3","3","2") = "3"
    & squares("1","1","3","3","2","3","3","3") = "3"
    & squares("1","1","3","3","3","1","1","1") = "3"
    & squares("1","1","3","3","3","1","1","2") = "3"
    & squares("1","1","3","3","3","1","1","3") = "3"
    & squares("1","1","3","3","3","1","2","1") = "3"
    & squares("1","1","3","3","3","1","2","2") = "3"
    & squares("1","1","3","3","3","1","2","3") = "3"
    & squares("1","1","3","3","3","1","3","1") = "3"
    & squares("1","1","3","3","3","1","3","2") = "3"
    & squares("1","1","3","3","3","1","3","3") = "3"
    & squares("1","1","3","3","3","2","1","1") = "3"
    & squares("1","1","3","3","3","2","1","2") = "3"
    & squares("1","1","3","3","3","2","1","3") = "3"
    & squares("1","1","3","3","3","2","2","1") = "3"
    & squares("1","1","3","3","3","2","2","2") = "3"
    & squares("1","1","3","3","3","2","2","3") = "3"
    & squares("1","1","3","3","3","2","3","1") = "3"
    & squares("1","1","3","3","3","2","3","2") = "3"
    & squares("1","1","3","3","3","2","3","3") = "3"
    & squares("1","1","3","3","3","3","1","1") = "3"
    & squares("1","1","3","3","3","3","1","2") = "3"
    & squares("1","1","3","3","3","3","1","3") = "3"
    & squares("1","1","3","3","3","3","2","1") = "3"
    & squares("1","1","3","3","3","3","2","2") = "3"
    & squares("1","1","3","3","3","3","2","3") = "3"
    & squares("1","1","3","3","3","3","3","1") = "3"
    & squares("1","1","3","3","3","3","3","2") = "3"
    & squares("1","1","3","3","3","3","3","3") = "3"
    & squares("1","2","1","1","1","1","1","1") = "2"
    & squares("1","2","1","1","1","1","1","2") = "3"
    & squares("1","2","1","1","1","1","1","3") = "3"
    & squares("1","2","1","1","1","1","2","1") = "3"
    & squares("1","2","1","1","1","1","2","2") = "2"
    & squares("1","2","1","1","1","1","2","3") = "3"
    & squares("1","2","1","1","1","1","3","1") = "3"
    & squares("1","2","1","1","1","1","3","2") = "3"
    & squares("1","2","1","1","1","1","3","3") = "3"
    & squares("1","2","1","1","1","2","1","1") = "3"
    & squares("1","2","1","1","1","2","1","2") = "3"
    & squares("1","2","1","1","1","2","1","3") = "3"
    & squares("1","2","1","1","1","2","2","1") = "2"
    & squares("1","2","1","1","1","2","2","2") = "3"
    & squares("1","2","1","1","1","2","2","3") = "3"
    & squares("1","2","1","1","1","2","3","1") = "3"
    & squares("1","2","1","1","1","2","3","2") = "3"
    & squares("1","2","1","1","1","2","3","3") = "3"
    & squares("1","2","1","1","1","3","1","1") = "3"
    & squares("1","2","1","1","1","3","1","2") = "3"
    & squares("1","2","1","1","1","3","1","3") = "3"
    & squares("1","2","1","1","1","3","2","1") = "3"
    & squares("1","2","1","1","1","3","2","2") = "3"
    & squares("1","2","1","1","1","3","2","3") = "3"
    & squares("1","2","1","1","1","3","3","1") = "3"
    & squares("1","2","1","1","1","3","3","2") = "3"
    & squares("1","2","1","1","1","3","3","3") = "3"
    & squares("1","2","1","1","2","1","1","1") = "3"
    & squares("1","2","1","1","2","1","1","2") = "2"
    & squares("1","2","1","1","2","1","1","3") = "3"
    & squares("1","2","1","1","2","1","2","1") = "1"
    & squares("1","2","1","1","2","1","2","2") = "3"
    & squares("1","2","1","1","2","1","2","3") = "3"
    & squares("1","2","1","1","2","1","3","1") = "3"
    & squares("1","2","1","1","2","1","3","2") = "3"
    & squares("1","2","1","1","2","1","3","3") = "3"
    & squares("1","2","1","1","2","2","1","1") = "2"
    & squares("1","2","1","1","2","2","1","2") = "3"
    & squares("1","2","1","1","2","2","1","3") = "3"
    & squares("1","2","1","1","2","2","2","1") = "3"
    & squares("1","2","1","1","2","2","2","2") = "2"
    & squares("1","2","1","1","2","2","2","3") = "3"
    & squares("1","2","1","1","2","2","3","1") = "3"
    & squares("1","2","1","1","2","2","3","2") = "3"
    & squares("1","2","1","1","2","2","3","3") = "3"
    & squares("1","2","1","1","2","3","1","1") = "3"
    & squares("1","2","1","1","2","3","1","2") = "3"
    & squares("1","2","1","1","2","3","1","3") = "3"
    & squares("1","2","1","1","2","3","2","1") = "3"
    & squares("1","2","1","1","2","3","2","2") = "3"
    & squares("1","2","1","1","2","3","2","3") = "3"
    & squares("1","2","1","1","2","3","3","1") = "3"
    & squares("1","2","1","1","2","3","3","2") = "3"
    & squares("1","2","1","1","2","3","3","3") = "3"
    & squares("1","2","1","1","3","1","1","1") = "3"
    & squares("1","2","1","1","3","1","1","2") = "3"
    & squares("1","2","1","1","3","1","1","3") = "3"
    & squares("1","2","1","1","3","1","2","1") = "3"
    & squares("1","2","1","1","3","1","2","2") = "3"
    & squares("1","2","1","1","3","1","2","3") = "3"
    & squares("1","2","1","1","3","1","3","1") = "3"
    & squares("1","2","1","1","3","1","3","2") = "3"
    & squares("1","2","1","1","3","1","3","3") = "3"
    & squares("1","2","1","1","3","2","1","1") = "3"
    & squares("1","2","1","1","3","2","1","2") = "3"
    & squares("1","2","1","1","3","2","1","3") = "3"
    & squares("1","2","1","1","3","2","2","1") = "3"
    & squares("1","2","1","1","3","2","2","2") = "3"
    & squares("1","2","1","1","3","2","2","3") = "3"
    & squares("1","2","1","1","3","2","3","1") = "3"
    & squares("1","2","1","1","3","2","3","2") = "3"
    & squares("1","2","1","1","3","2","3","3") = "3"
    & squares("1","2","1","1","3","3","1","1") = "3"
    & squares("1","2","1","1","3","3","1","2") = "3"
    & squares("1","2","1","1","3","3","1","3") = "3"
    & squares("1","2","1","1","3","3","2","1") = "3"
    & squares("1","2","1","1","3","3","2","2") = "3"
    & squares("1","2","1","1","3","3","2","3") = "3"
    & squares("1","2","1","1","3","3","3","1") = "3"
    & squares("1","2","1","1","3","3","3","2") = "3"
    & squares("1","2","1","1","3","3","3","3") = "3"
    & squares("1","2","1","2","1","1","1","1") = "3"
    & squares("1","2","1","2","1","1","1","2") = "3"
    & squares("1","2","1","2","1","1","1","3") = "3"
    & squares("1","2","1","2","1","1","2","1") = "2"
    & squares("1","2","1","2","1","1","2","2") = "3"
    & squares("1","2","1","2","1","1","2","3") = "3"
    & squares("1","2","1","2","1","1","3","1") = "3"
    & squares("1","2","1","2","1","1","3","2") = "3"
    & squares("1","2","1","2","1","1","3","3") = "3"
    & squares("1","2","1","2","1","2","1","1") = "3"
    & squares("1","2","1","2","1","2","1","2") = "3"
    & squares("1","2","1","2","1","2","1","3") = "3"
    & squares("1","2","1","2","1","2","2","1") = "3"
    & squares("1","2","1","2","1","2","2","2") = "3"
    & squares("1","2","1","2","1","2","2","3") = "3"
    & squares("1","2","1","2","1","2","3","1") = "3"
    & squares("1","2","1","2","1","2","3","2") = "3"
    & squares("1","2","1","2","1","2","3","3") = "3"
    & squares("1","2","1","2","1","3","1","1") = "3"
    & squares("1","2","1","2","1","3","1","2") = "3"
    & squares("1","2","1","2","1","3","1","3") = "3"
    & squares("1","2","1","2","1","3","2","1") = "3"
    & squares("1","2","1","2","1","3","2","2") = "3"
    & squares("1","2","1","2","1","3","2","3") = "3"
    & squares("1","2","1","2","1","3","3","1") = "3"
    & squares("1","2","1","2","1","3","3","2") = "3"
    & squares("1","2","1","2","1","3","3","3") = "3"
    & squares("1","2","1","2","2","1","1","1") = "2"
    & squares("1","2","1","2","2","1","1","2") = "3"
    & squares("1","2","1","2","2","1","1","3") = "3"
    & squares("1","2","1","2","2","1","2","1") = "3"
    & squares("1","2","1","2","2","1","2","2") = "2"
    & squares("1","2","1","2","2","1","2","3") = "3"
    & squares("1","2","1","2","2","1","3","1") = "3"
    & squares("1","2","1","2","2","1","3","2") = "3"
    & squares("1","2","1","2","2","1","3","3") = "3"
    & squares("1","2","1","2","2","2","1","1") = "3"
    & squares("1","2","1","2","2","2","1","2") = "3"
    & squares("1","2","1","2","2","2","1","3") = "3"
    & squares("1","2","1","2","2","2","2","1") = "2"
    & squares("1","2","1","2","2","2","2","2") = "3"
    & squares("1","2","1","2","2","2","2","3") = "3"
    & squares("1","2","1","2","2","2","3","1") = "3"
    & squares("1","2","1","2","2","2","3","2") = "3"
    & squares("1","2","1","2","2","2","3","3") = "3"
    & squares("1","2","1","2","2","3","1","1") = "3"
    & squares("1","2","1","2","2","3","1","2") = "3"
    & squares("1","2","1","2","2","3","1","3") = "3"
    & squares("1","2","1","2","2","3","2","1") = "3"
    & squares("1","2","1","2","2","3","2","2") = "3"
    & squares("1","2","1","2","2","3","2","3") = "3"
    & squares("1","2","1","2","2","3","3","1") = "3"
    & squares("1","2","1","2","2","3","3","2") = "3"
    & squares("1","2","1","2","2","3","3","3") = "3"
    & squares("1","2","1","2","3","1","1","1") = "3"
    & squares("1","2","1","2","3","1","1","2") = "3"
    & squares("1","2","1","2","3","1","1","3") = "3"
    & squares("1","2","1","2","3","1","2","1") = "3"
    & squares("1","2","1","2","3","1","2","2") = "3"
    & squares("1","2","1","2","3","1","2","3") = "3"
    & squares("1","2","1","2","3","1","3","1") = "3"
    & squares("1","2","1","2","3","1","3","2") = "3"
    & squares("1","2","1","2","3","1","3","3") = "3"
    & squares("1","2","1","2","3","2","1","1") = "3"
    & squares("1","2","1","2","3","2","1","2") = "3"
    & squares("1","2","1","2","3","2","1","3") = "3"
    & squares("1","2","1","2","3","2","2","1") = "3"
    & squares("1","2","1","2","3","2","2","2") = "3"
    & squares("1","2","1","2","3","2","2","3") = "3"
    & squares("1","2","1","2","3","2","3","1") = "3"
    & squares("1","2","1","2","3","2","3","2") = "3"
    & squares("1","2","1","2","3","2","3","3") = "3"
    & squares("1","2","1","2","3","3","1","1") = "3"
    & squares("1","2","1","2","3","3","1","2") = "3"
    & squares("1","2","1","2","3","3","1","3") = "3"
    & squares("1","2","1","2","3","3","2","1") = "3"
    & squares("1","2","1","2","3","3","2","2") = "3"
    & squares("1","2","1","2","3","3","2","3") = "3"
    & squares("1","2","1","2","3","3","3","1") = "3"
    & squares("1","2","1","2","3","3","3","2") = "3"
    & squares("1","2","1","2","3","3","3","3") = "3"
    & squares("1","2","1","3","1","1","1","1") = "3"
    & squares("1","2","1","3","1","1","1","2") = "3"
    & squares("1","2","1","3","1","1","1","3") = "3"
    & squares("1","2","1","3","1","1","2","1") = "3"
    & squares("1","2","1","3","1","1","2","2") = "3"
    & squares("1","2","1","3","1","1","2","3") = "3"
    & squares("1","2","1","3","1","1","3","1") = "3"
    & squares("1","2","1","3","1","1","3","2") = "3"
    & squares("1","2","1","3","1","1","3","3") = "3"
    & squares("1","2","1","3","1","2","1","1") = "3"
    & squares("1","2","1","3","1","2","1","2") = "3"
    & squares("1","2","1","3","1","2","1","3") = "3"
    & squares("1","2","1","3","1","2","2","1") = "3"
    & squares("1","2","1","3","1","2","2","2") = "3"
    & squares("1","2","1","3","1","2","2","3") = "3"
    & squares("1","2","1","3","1","2","3","1") = "3"
    & squares("1","2","1","3","1","2","3","2") = "3"
    & squares("1","2","1","3","1","2","3","3") = "3"
    & squares("1","2","1","3","1","3","1","1") = "3"
    & squares("1","2","1","3","1","3","1","2") = "3"
    & squares("1","2","1","3","1","3","1","3") = "3"
    & squares("1","2","1","3","1","3","2","1") = "3"
    & squares("1","2","1","3","1","3","2","2") = "3"
    & squares("1","2","1","3","1","3","2","3") = "3"
    & squares("1","2","1","3","1","3","3","1") = "3"
    & squares("1","2","1","3","1","3","3","2") = "3"
    & squares("1","2","1","3","1","3","3","3") = "3"
    & squares("1","2","1","3","2","1","1","1") = "3"
    & squares("1","2","1","3","2","1","1","2") = "3"
    & squares("1","2","1","3","2","1","1","3") = "3"
    & squares("1","2","1","3","2","1","2","1") = "3"
    & squares("1","2","1","3","2","1","2","2") = "3"
    & squares("1","2","1","3","2","1","2","3") = "3"
    & squares("1","2","1","3","2","1","3","1") = "3"
    & squares("1","2","1","3","2","1","3","2") = "3"
    & squares("1","2","1","3","2","1","3","3") = "3"
    & squares("1","2","1","3","2","2","1","1") = "3"
    & squares("1","2","1","3","2","2","1","2") = "3"
    & squares("1","2","1","3","2","2","1","3") = "3"
    & squares("1","2","1","3","2","2","2","1") = "3"
    & squares("1","2","1","3","2","2","2","2") = "3"
    & squares("1","2","1","3","2","2","2","3") = "3"
    & squares("1","2","1","3","2","2","3","1") = "3"
    & squares("1","2","1","3","2","2","3","2") = "3"
    & squares("1","2","1","3","2","2","3","3") = "3"
    & squares("1","2","1","3","2","3","1","1") = "3"
    & squares("1","2","1","3","2","3","1","2") = "3"
    & squares("1","2","1","3","2","3","1","3") = "3"
    & squares("1","2","1","3","2","3","2","1") = "3"
    & squares("1","2","1","3","2","3","2","2") = "3"
    & squares("1","2","1","3","2","3","2","3") = "3"
    & squares("1","2","1","3","2","3","3","1") = "3"
    & squares("1","2","1","3","2","3","3","2") = "3"
    & squares("1","2","1","3","2","3","3","3") = "3"
    & squares("1","2","1","3","3","1","1","1") = "3"
    & squares("1","2","1","3","3","1","1","2") = "3"
    & squares("1","2","1","3","3","1","1","3") = "3"
    & squares("1","2","1","3","3","1","2","1") = "3"
    & squares("1","2","1","3","3","1","2","2") = "3"
    & squares("1","2","1","3","3","1","2","3") = "3"
    & squares("1","2","1","3","3","1","3","1") = "3"
    & squares("1","2","1","3","3","1","3","2") = "3"
    & squares("1","2","1","3","3","1","3","3") = "3"
    & squares("1","2","1","3","3","2","1","1") = "3"
    & squares("1","2","1","3","3","2","1","2") = "3"
    & squares("1","2","1","3","3","2","1","3") = "3"
    & squares("1","2","1","3","3","2","2","1") = "3"
    & squares("1","2","1","3","3","2","2","2") = "3"
    & squares("1","2","1","3","3","2","2","3") = "3"
    & squares("1","2","1","3","3","2","3","1") = "3"
    & squares("1","2","1","3","3","2","3","2") = "3"
    & squares("1","2","1","3","3","2","3","3") = "3"
    & squares("1","2","1","3","3","3","1","1") = "3"
    & squares("1","2","1","3","3","3","1","2") = "3"
    & squares("1","2","1","3","3","3","1","3") = "3"
    & squares("1","2","1","3","3","3","2","1") = "3"
    & squares("1","2","1","3","3","3","2","2") = "3"
    & squares("1","2","1","3","3","3","2","3") = "3"
    & squares("1","2","1","3","3","3","3","1") = "3"
    & squares("1","2","1","3","3","3","3","2") = "3"
    & squares("1","2","1","3","3","3","3","3") = "3"
    & squares("1","2","2","1","1","1","1","1") = "3"
    & squares("1","2","2","1","1","1","1","2") = "2"
    & squares("1","2","2","1","1","1","1","3") = "3"
    & squares("1","2","2","1","1","1","2","1") = "1"
    & squares("1","2","2","1","1","1","2","2") = "3"
    & squares("1","2","2","1","1","1","2","3") = "3"
    & squares("1","2","2","1","1","1","3","1") = "3"
    & squares("1","2","2","1","1","1","3","2") = "3"
    & squares("1","2","2","1","1","1","3","3") = "3"
    & squares("1","2","2","1","1","2","1","1") = "2"
    & squares("1","2","2","1","1","2","1","2") = "3"
    & squares("1","2","2","1","1","2","1","3") = "3"
    & squares("1","2","2","1","1","2","2","1") = "3"
    & squares("1","2","2","1","1","2","2","2") = "2"
    & squares("1","2","2","1","1","2","2","3") = "3"
    & squares("1","2","2","1","1","2","3","1") = "3"
    & squares("1","2","2","1","1","2","3","2") = "3"
    & squares("1","2","2","1","1","2","3","3") = "3"
    & squares("1","2","2","1","1","3","1","1") = "3"
    & squares("1","2","2","1","1","3","1","2") = "3"
    & squares("1","2","2","1","1","3","1","3") = "3"
    & squares("1","2","2","1","1","3","2","1") = "3"
    & squares("1","2","2","1","1","3","2","2") = "3"
    & squares("1","2","2","1","1","3","2","3") = "3"
    & squares("1","2","2","1","1","3","3","1") = "3"
    & squares("1","2","2","1","1","3","3","2") = "3"
    & squares("1","2","2","1","1","3","3","3") = "3"
    & squares("1","2","2","1","2","1","1","1") = "1"
    & squares("1","2","2","1","2","1","1","2") = "3"
    & squares("1","2","2","1","2","1","1","3") = "3"
    & squares("1","2","2","1","2","1","2","1") = "3"
    & squares("1","2","2","1","2","1","2","2") = "1"
    & squares("1","2","2","1","2","1","2","3") = "3"
    & squares("1","2","2","1","2","1","3","1") = "3"
    & squares("1","2","2","1","2","1","3","2") = "3"
    & squares("1","2","2","1","2","1","3","3") = "3"
    & squares("1","2","2","1","2","2","1","1") = "3"
    & squares("1","2","2","1","2","2","1","2") = "2"
    & squares("1","2","2","1","2","2","1","3") = "3"
    & squares("1","2","2","1","2","2","2","1") = "1"
    & squares("1","2","2","1","2","2","2","2") = "3"
    & squares("1","2","2","1","2","2","2","3") = "3"
    & squares("1","2","2","1","2","2","3","1") = "3"
    & squares("1","2","2","1","2","2","3","2") = "3"
    & squares("1","2","2","1","2","2","3","3") = "3"
    & squares("1","2","2","1","2","3","1","1") = "3"
    & squares("1","2","2","1","2","3","1","2") = "3"
    & squares("1","2","2","1","2","3","1","3") = "3"
    & squares("1","2","2","1","2","3","2","1") = "3"
    & squares("1","2","2","1","2","3","2","2") = "3"
    & squares("1","2","2","1","2","3","2","3") = "3"
    & squares("1","2","2","1","2","3","3","1") = "3"
    & squares("1","2","2","1","2","3","3","2") = "3"
    & squares("1","2","2","1","2","3","3","3") = "3"
    & squares("1","2","2","1","3","1","1","1") = "3"
    & squares("1","2","2","1","3","1","1","2") = "3"
    & squares("1","2","2","1","3","1","1","3") = "3"
    & squares("1","2","2","1","3","1","2","1") = "3"
    & squares("1","2","2","1","3","1","2","2") = "3"
    & squares("1","2","2","1","3","1","2","3") = "3"
    & squares("1","2","2","1","3","1","3","1") = "3"
    & squares("1","2","2","1","3","1","3","2") = "3"
    & squares("1","2","2","1","3","1","3","3") = "3"
    & squares("1","2","2","1","3","2","1","1") = "3"
    & squares("1","2","2","1","3","2","1","2") = "3"
    & squares("1","2","2","1","3","2","1","3") = "3"
    & squares("1","2","2","1","3","2","2","1") = "3"
    & squares("1","2","2","1","3","2","2","2") = "3"
    & squares("1","2","2","1","3","2","2","3") = "3"
    & squares("1","2","2","1","3","2","3","1") = "3"
    & squares("1","2","2","1","3","2","3","2") = "3"
    & squares("1","2","2","1","3","2","3","3") = "3"
    & squares("1","2","2","1","3","3","1","1") = "3"
    & squares("1","2","2","1","3","3","1","2") = "3"
    & squares("1","2","2","1","3","3","1","3") = "3"
    & squares("1","2","2","1","3","3","2","1") = "3"
    & squares("1","2","2","1","3","3","2","2") = "3"
    & squares("1","2","2","1","3","3","2","3") = "3"
    & squares("1","2","2","1","3","3","3","1") = "3"
    & squares("1","2","2","1","3","3","3","2") = "3"
    & squares("1","2","2","1","3","3","3","3") = "3"
    & squares("1","2","2","2","1","1","1","1") = "2"
    & squares("1","2","2","2","1","1","1","2") = "3"
    & squares("1","2","2","2","1","1","1","3") = "3"
    & squares("1","2","2","2","1","1","2","1") = "3"
    & squares("1","2","2","2","1","1","2","2") = "2"
    & squares("1","2","2","2","1","1","2","3") = "3"
    & squares("1","2","2","2","1","1","3","1") = "3"
    & squares("1","2","2","2","1","1","3","2") = "3"
    & squares("1","2","2","2","1","1","3","3") = "3"
    & squares("1","2","2","2","1","2","1","1") = "3"
    & squares("1","2","2","2","1","2","1","2") = "3"
    & squares("1","2","2","2","1","2","1","3") = "3"
    & squares("1","2","2","2","1","2","2","1") = "2"
    & squares("1","2","2","2","1","2","2","2") = "3"
    & squares("1","2","2","2","1","2","2","3") = "3"
    & squares("1","2","2","2","1","2","3","1") = "3"
    & squares("1","2","2","2","1","2","3","2") = "3"
    & squares("1","2","2","2","1","2","3","3") = "3"
    & squares("1","2","2","2","1","3","1","1") = "3"
    & squares("1","2","2","2","1","3","1","2") = "3"
    & squares("1","2","2","2","1","3","1","3") = "3"
    & squares("1","2","2","2","1","3","2","1") = "3"
    & squares("1","2","2","2","1","3","2","2") = "3"
    & squares("1","2","2","2","1","3","2","3") = "3"
    & squares("1","2","2","2","1","3","3","1") = "3"
    & squares("1","2","2","2","1","3","3","2") = "3"
    & squares("1","2","2","2","1","3","3","3") = "3"
    & squares("1","2","2","2","2","1","1","1") = "3"
    & squares("1","2","2","2","2","1","1","2") = "2"
    & squares("1","2","2","2","2","1","1","3") = "3"
    & squares("1","2","2","2","2","1","2","1") = "1"
    & squares("1","2","2","2","2","1","2","2") = "3"
    & squares("1","2","2","2","2","1","2","3") = "3"
    & squares("1","2","2","2","2","1","3","1") = "3"
    & squares("1","2","2","2","2","1","3","2") = "3"
    & squares("1","2","2","2","2","1","3","3") = "3"
    & squares("1","2","2","2","2","2","1","1") = "2"
    & squares("1","2","2","2","2","2","1","2") = "3"
    & squares("1","2","2","2","2","2","1","3") = "3"
    & squares("1","2","2","2","2","2","2","1") = "3"
    & squares("1","2","2","2","2","2","2","2") = "2"
    & squares("1","2","2","2","2","2","2","3") = "3"
    & squares("1","2","2","2","2","2","3","1") = "3"
    & squares("1","2","2","2","2","2","3","2") = "3"
    & squares("1","2","2","2","2","2","3","3") = "3"
    & squares("1","2","2","2","2","3","1","1") = "3"
    & squares("1","2","2","2","2","3","1","2") = "3"
    & squares("1","2","2","2","2","3","1","3") = "3"
    & squares("1","2","2","2","2","3","2","1") = "3"
    & squares("1","2","2","2","2","3","2","2") = "3"
    & squares("1","2","2","2","2","3","2","3") = "3"
    & squares("1","2","2","2","2","3","3","1") = "3"
    & squares("1","2","2","2","2","3","3","2") = "3"
    & squares("1","2","2","2","2","3","3","3") = "3"
    & squares("1","2","2","2","3","1","1","1") = "3"
    & squares("1","2","2","2","3","1","1","2") = "3"
    & squares("1","2","2","2","3","1","1","3") = "3"
    & squares("1","2","2","2","3","1","2","1") = "3"
    & squares("1","2","2","2","3","1","2","2") = "3"
    & squares("1","2","2","2","3","1","2","3") = "3"
    & squares("1","2","2","2","3","1","3","1") = "3"
    & squares("1","2","2","2","3","1","3","2") = "3"
    & squares("1","2","2","2","3","1","3","3") = "3"
    & squares("1","2","2","2","3","2","1","1") = "3"
    & squares("1","2","2","2","3","2","1","2") = "3"
    & squares("1","2","2","2","3","2","1","3") = "3"
    & squares("1","2","2","2","3","2","2","1") = "3"
    & squares("1","2","2","2","3","2","2","2") = "3"
    & squares("1","2","2","2","3","2","2","3") = "3"
    & squares("1","2","2","2","3","2","3","1") = "3"
    & squares("1","2","2","2","3","2","3","2") = "3"
    & squares("1","2","2","2","3","2","3","3") = "3"
    & squares("1","2","2","2","3","3","1","1") = "3"
    & squares("1","2","2","2","3","3","1","2") = "3"
    & squares("1","2","2","2","3","3","1","3") = "3"
    & squares("1","2","2","2","3","3","2","1") = "3"
    & squares("1","2","2","2","3","3","2","2") = "3"
    & squares("1","2","2","2","3","3","2","3") = "3"
    & squares("1","2","2","2","3","3","3","1") = "3"
    & squares("1","2","2","2","3","3","3","2") = "3"
    & squares("1","2","2","2","3","3","3","3") = "3"
    & squares("1","2","2","3","1","1","1","1") = "3"
    & squares("1","2","2","3","1","1","1","2") = "3"
    & squares("1","2","2","3","1","1","1","3") = "3"
    & squares("1","2","2","3","1","1","2","1") = "3"
    & squares("1","2","2","3","1","1","2","2") = "3"
    & squares("1","2","2","3","1","1","2","3") = "3"
    & squares("1","2","2","3","1","1","3","1") = "3"
    & squares("1","2","2","3","1","1","3","2") = "3"
    & squares("1","2","2","3","1","1","3","3") = "3"
    & squares("1","2","2","3","1","2","1","1") = "3"
    & squares("1","2","2","3","1","2","1","2") = "3"
    & squares("1","2","2","3","1","2","1","3") = "3"
    & squares("1","2","2","3","1","2","2","1") = "3"
    & squares("1","2","2","3","1","2","2","2") = "3"
    & squares("1","2","2","3","1","2","2","3") = "3"
    & squares("1","2","2","3","1","2","3","1") = "3"
    & squares("1","2","2","3","1","2","3","2") = "3"
    & squares("1","2","2","3","1","2","3","3") = "3"
    & squares("1","2","2","3","1","3","1","1") = "3"
    & squares("1","2","2","3","1","3","1","2") = "3"
    & squares("1","2","2","3","1","3","1","3") = "3"
    & squares("1","2","2","3","1","3","2","1") = "3"
    & squares("1","2","2","3","1","3","2","2") = "3"
    & squares("1","2","2","3","1","3","2","3") = "3"
    & squares("1","2","2","3","1","3","3","1") = "3"
    & squares("1","2","2","3","1","3","3","2") = "3"
    & squares("1","2","2","3","1","3","3","3") = "3"
    & squares("1","2","2","3","2","1","1","1") = "3"
    & squares("1","2","2","3","2","1","1","2") = "3"
    & squares("1","2","2","3","2","1","1","3") = "3"
    & squares("1","2","2","3","2","1","2","1") = "3"
    & squares("1","2","2","3","2","1","2","2") = "3"
    & squares("1","2","2","3","2","1","2","3") = "3"
    & squares("1","2","2","3","2","1","3","1") = "3"
    & squares("1","2","2","3","2","1","3","2") = "3"
    & squares("1","2","2","3","2","1","3","3") = "3"
    & squares("1","2","2","3","2","2","1","1") = "3"
    & squares("1","2","2","3","2","2","1","2") = "3"
    & squares("1","2","2","3","2","2","1","3") = "3"
    & squares("1","2","2","3","2","2","2","1") = "3"
    & squares("1","2","2","3","2","2","2","2") = "3"
    & squares("1","2","2","3","2","2","2","3") = "3"
    & squares("1","2","2","3","2","2","3","1") = "3"
    & squares("1","2","2","3","2","2","3","2") = "3"
    & squares("1","2","2","3","2","2","3","3") = "3"
    & squares("1","2","2","3","2","3","1","1") = "3"
    & squares("1","2","2","3","2","3","1","2") = "3"
    & squares("1","2","2","3","2","3","1","3") = "3"
    & squares("1","2","2","3","2","3","2","1") = "3"
    & squares("1","2","2","3","2","3","2","2") = "3"
    & squares("1","2","2","3","2","3","2","3") = "3"
    & squares("1","2","2","3","2","3","3","1") = "3"
    & squares("1","2","2","3","2","3","3","2") = "3"
    & squares("1","2","2","3","2","3","3","3") = "3"
    & squares("1","2","2","3","3","1","1","1") = "3"
    & squares("1","2","2","3","3","1","1","2") = "3"
    & squares("1","2","2","3","3","1","1","3") = "3"
    & squares("1","2","2","3","3","1","2","1") = "3"
    & squares("1","2","2","3","3","1","2","2") = "3"
    & squares("1","2","2","3","3","1","2","3") = "3"
    & squares("1","2","2","3","3","1","3","1") = "3"
    & squares("1","2","2","3","3","1","3","2") = "3"
    & squares("1","2","2","3","3","1","3","3") = "3"
    & squares("1","2","2","3","3","2","1","1") = "3"
    & squares("1","2","2","3","3","2","1","2") = "3"
    & squares("1","2","2","3","3","2","1","3") = "3"
    & squares("1","2","2","3","3","2","2","1") = "3"
    & squares("1","2","2","3","3","2","2","2") = "3"
    & squares("1","2","2","3","3","2","2","3") = "3"
    & squares("1","2","2","3","3","2","3","1") = "3"
    & squares("1","2","2","3","3","2","3","2") = "3"
    & squares("1","2","2","3","3","2","3","3") = "3"
    & squares("1","2","2","3","3","3","1","1") = "3"
    & squares("1","2","2","3","3","3","1","2") = "3"
    & squares("1","2","2","3","3","3","1","3") = "3"
    & squares("1","2","2","3","3","3","2","1") = "3"
    & squares("1","2","2","3","3","3","2","2") = "3"
    & squares("1","2","2","3","3","3","2","3") = "3"
    & squares("1","2","2","3","3","3","3","1") = "3"
    & squares("1","2","2","3","3","3","3","2") = "3"
    & squares("1","2","2","3","3","3","3","3") = "3"
    & squares("1","2","3","1","1","1","1","1") = "3"
    & squares("1","2","3","1","1","1","1","2") = "3"
    & squares("1","2","3","1","1","1","1","3") = "3"
    & squares("1","2","3","1","1","1","2","1") = "3"
    & squares("1","2","3","1","1","1","2","2") = "3"
    & squares("1","2","3","1","1","1","2","3") = "3"
    & squares("1","2","3","1","1","1","3","1") = "3"
    & squares("1","2","3","1","1","1","3","2") = "3"
    & squares("1","2","3","1","1","1","3","3") = "3"
    & squares("1","2","3","1","1","2","1","1") = "3"
    & squares("1","2","3","1","1","2","1","2") = "3"
    & squares("1","2","3","1","1","2","1","3") = "3"
    & squares("1","2","3","1","1","2","2","1") = "3"
    & squares("1","2","3","1","1","2","2","2") = "3"
    & squares("1","2","3","1","1","2","2","3") = "3"
    & squares("1","2","3","1","1","2","3","1") = "3"
    & squares("1","2","3","1","1","2","3","2") = "3"
    & squares("1","2","3","1","1","2","3","3") = "3"
    & squares("1","2","3","1","1","3","1","1") = "3"
    & squares("1","2","3","1","1","3","1","2") = "3"
    & squares("1","2","3","1","1","3","1","3") = "3"
    & squares("1","2","3","1","1","3","2","1") = "3"
    & squares("1","2","3","1","1","3","2","2") = "3"
    & squares("1","2","3","1","1","3","2","3") = "3"
    & squares("1","2","3","1","1","3","3","1") = "3"
    & squares("1","2","3","1","1","3","3","2") = "3"
    & squares("1","2","3","1","1","3","3","3") = "3"
    & squares("1","2","3","1","2","1","1","1") = "3"
    & squares("1","2","3","1","2","1","1","2") = "3"
    & squares("1","2","3","1","2","1","1","3") = "3"
    & squares("1","2","3","1","2","1","2","1") = "3"
    & squares("1","2","3","1","2","1","2","2") = "3"
    & squares("1","2","3","1","2","1","2","3") = "3"
    & squares("1","2","3","1","2","1","3","1") = "3"
    & squares("1","2","3","1","2","1","3","2") = "3"
    & squares("1","2","3","1","2","1","3","3") = "3"
    & squares("1","2","3","1","2","2","1","1") = "3"
    & squares("1","2","3","1","2","2","1","2") = "3"
    & squares("1","2","3","1","2","2","1","3") = "3"
    & squares("1","2","3","1","2","2","2","1") = "3"
    & squares("1","2","3","1","2","2","2","2") = "3"
    & squares("1","2","3","1","2","2","2","3") = "3"
    & squares("1","2","3","1","2","2","3","1") = "3"
    & squares("1","2","3","1","2","2","3","2") = "3"
    & squares("1","2","3","1","2","2","3","3") = "3"
    & squares("1","2","3","1","2","3","1","1") = "3"
    & squares("1","2","3","1","2","3","1","2") = "3"
    & squares("1","2","3","1","2","3","1","3") = "3"
    & squares("1","2","3","1","2","3","2","1") = "3"
    & squares("1","2","3","1","2","3","2","2") = "3"
    & squares("1","2","3","1","2","3","2","3") = "3"
    & squares("1","2","3","1","2","3","3","1") = "3"
    & squares("1","2","3","1","2","3","3","2") = "3"
    & squares("1","2","3","1","2","3","3","3") = "3"
    & squares("1","2","3","1","3","1","1","1") = "3"
    & squares("1","2","3","1","3","1","1","2") = "3"
    & squares("1","2","3","1","3","1","1","3") = "3"
    & squares("1","2","3","1","3","1","2","1") = "3"
    & squares("1","2","3","1","3","1","2","2") = "3"
    & squares("1","2","3","1","3","1","2","3") = "3"
    & squares("1","2","3","1","3","1","3","1") = "3"
    & squares("1","2","3","1","3","1","3","2") = "3"
    & squares("1","2","3","1","3","1","3","3") = "3"
    & squares("1","2","3","1","3","2","1","1") = "3"
    & squares("1","2","3","1","3","2","1","2") = "3"
    & squares("1","2","3","1","3","2","1","3") = "3"
    & squares("1","2","3","1","3","2","2","1") = "3"
    & squares("1","2","3","1","3","2","2","2") = "3"
    & squares("1","2","3","1","3","2","2","3") = "3"
    & squares("1","2","3","1","3","2","3","1") = "3"
    & squares("1","2","3","1","3","2","3","2") = "3"
    & squares("1","2","3","1","3","2","3","3") = "3"
    & squares("1","2","3","1","3","3","1","1") = "3"
    & squares("1","2","3","1","3","3","1","2") = "3"
    & squares("1","2","3","1","3","3","1","3") = "3"
    & squares("1","2","3","1","3","3","2","1") = "3"
    & squares("1","2","3","1","3","3","2","2") = "3"
    & squares("1","2","3","1","3","3","2","3") = "3"
    & squares("1","2","3","1","3","3","3","1") = "3"
    & squares("1","2","3","1","3","3","3","2") = "3"
    & squares("1","2","3","1","3","3","3","3") = "3"
    & squares("1","2","3","2","1","1","1","1") = "3"
    & squares("1","2","3","2","1","1","1","2") = "3"
    & squares("1","2","3","2","1","1","1","3") = "3"
    & squares("1","2","3","2","1","1","2","1") = "3"
    & squares("1","2","3","2","1","1","2","2") = "3"
    & squares("1","2","3","2","1","1","2","3") = "3"
    & squares("1","2","3","2","1","1","3","1") = "3"
    & squares("1","2","3","2","1","1","3","2") = "3"
    & squares("1","2","3","2","1","1","3","3") = "3"
    & squares("1","2","3","2","1","2","1","1") = "3"
    & squares("1","2","3","2","1","2","1","2") = "3"
    & squares("1","2","3","2","1","2","1","3") = "3"
    & squares("1","2","3","2","1","2","2","1") = "3"
    & squares("1","2","3","2","1","2","2","2") = "3"
    & squares("1","2","3","2","1","2","2","3") = "3"
    & squares("1","2","3","2","1","2","3","1") = "3"
    & squares("1","2","3","2","1","2","3","2") = "3"
    & squares("1","2","3","2","1","2","3","3") = "3"
    & squares("1","2","3","2","1","3","1","1") = "3"
    & squares("1","2","3","2","1","3","1","2") = "3"
    & squares("1","2","3","2","1","3","1","3") = "3"
    & squares("1","2","3","2","1","3","2","1") = "3"
    & squares("1","2","3","2","1","3","2","2") = "3"
    & squares("1","2","3","2","1","3","2","3") = "3"
    & squares("1","2","3","2","1","3","3","1") = "3"
    & squares("1","2","3","2","1","3","3","2") = "3"
    & squares("1","2","3","2","1","3","3","3") = "3"
    & squares("1","2","3","2","2","1","1","1") = "3"
    & squares("1","2","3","2","2","1","1","2") = "3"
    & squares("1","2","3","2","2","1","1","3") = "3"
    & squares("1","2","3","2","2","1","2","1") = "3"
    & squares("1","2","3","2","2","1","2","2") = "3"
    & squares("1","2","3","2","2","1","2","3") = "3"
    & squares("1","2","3","2","2","1","3","1") = "3"
    & squares("1","2","3","2","2","1","3","2") = "3"
    & squares("1","2","3","2","2","1","3","3") = "3"
    & squares("1","2","3","2","2","2","1","1") = "3"
    & squares("1","2","3","2","2","2","1","2") = "3"
    & squares("1","2","3","2","2","2","1","3") = "3"
    & squares("1","2","3","2","2","2","2","1") = "3"
    & squares("1","2","3","2","2","2","2","2") = "3"
    & squares("1","2","3","2","2","2","2","3") = "3"
    & squares("1","2","3","2","2","2","3","1") = "3"
    & squares("1","2","3","2","2","2","3","2") = "3"
    & squares("1","2","3","2","2","2","3","3") = "3"
    & squares("1","2","3","2","2","3","1","1") = "3"
    & squares("1","2","3","2","2","3","1","2") = "3"
    & squares("1","2","3","2","2","3","1","3") = "3"
    & squares("1","2","3","2","2","3","2","1") = "3"
    & squares("1","2","3","2","2","3","2","2") = "3"
    & squares("1","2","3","2","2","3","2","3") = "3"
    & squares("1","2","3","2","2","3","3","1") = "3"
    & squares("1","2","3","2","2","3","3","2") = "3"
    & squares("1","2","3","2","2","3","3","3") = "3"
    & squares("1","2","3","2","3","1","1","1") = "3"
    & squares("1","2","3","2","3","1","1","2") = "3"
    & squares("1","2","3","2","3","1","1","3") = "3"
    & squares("1","2","3","2","3","1","2","1") = "3"
    & squares("1","2","3","2","3","1","2","2") = "3"
    & squares("1","2","3","2","3","1","2","3") = "3"
    & squares("1","2","3","2","3","1","3","1") = "3"
    & squares("1","2","3","2","3","1","3","2") = "3"
    & squares("1","2","3","2","3","1","3","3") = "3"
    & squares("1","2","3","2","3","2","1","1") = "3"
    & squares("1","2","3","2","3","2","1","2") = "3"
    & squares("1","2","3","2","3","2","1","3") = "3"
    & squares("1","2","3","2","3","2","2","1") = "3"
    & squares("1","2","3","2","3","2","2","2") = "3"
    & squares("1","2","3","2","3","2","2","3") = "3"
    & squares("1","2","3","2","3","2","3","1") = "3"
    & squares("1","2","3","2","3","2","3","2") = "3"
    & squares("1","2","3","2","3","2","3","3") = "3"
    & squares("1","2","3","2","3","3","1","1") = "3"
    & squares("1","2","3","2","3","3","1","2") = "3"
    & squares("1","2","3","2","3","3","1","3") = "3"
    & squares("1","2","3","2","3","3","2","1") = "3"
    & squares("1","2","3","2","3","3","2","2") = "3"
    & squares("1","2","3","2","3","3","2","3") = "3"
    & squares("1","2","3","2","3","3","3","1") = "3"
    & squares("1","2","3","2","3","3","3","2") = "3"
    & squares("1","2","3","2","3","3","3","3") = "3"
    & squares("1","2","3","3","1","1","1","1") = "3"
    & squares("1","2","3","3","1","1","1","2") = "3"
    & squares("1","2","3","3","1","1","1","3") = "3"
    & squares("1","2","3","3","1","1","2","1") = "3"
    & squares("1","2","3","3","1","1","2","2") = "3"
    & squares("1","2","3","3","1","1","2","3") = "3"
    & squares("1","2","3","3","1","1","3","1") = "3"
    & squares("1","2","3","3","1","1","3","2") = "3"
    & squares("1","2","3","3","1","1","3","3") = "3"
    & squares("1","2","3","3","1","2","1","1") = "3"
    & squares("1","2","3","3","1","2","1","2") = "3"
    & squares("1","2","3","3","1","2","1","3") = "3"
    & squares("1","2","3","3","1","2","2","1") = "3"
    & squares("1","2","3","3","1","2","2","2") = "3"
    & squares("1","2","3","3","1","2","2","3") = "3"
    & squares("1","2","3","3","1","2","3","1") = "3"
    & squares("1","2","3","3","1","2","3","2") = "3"
    & squares("1","2","3","3","1","2","3","3") = "3"
    & squares("1","2","3","3","1","3","1","1") = "3"
    & squares("1","2","3","3","1","3","1","2") = "3"
    & squares("1","2","3","3","1","3","1","3") = "3"
    & squares("1","2","3","3","1","3","2","1") = "3"
    & squares("1","2","3","3","1","3","2","2") = "3"
    & squares("1","2","3","3","1","3","2","3") = "3"
    & squares("1","2","3","3","1","3","3","1") = "3"
    & squares("1","2","3","3","1","3","3","2") = "3"
    & squares("1","2","3","3","1","3","3","3") = "3"
    & squares("1","2","3","3","2","1","1","1") = "3"
    & squares("1","2","3","3","2","1","1","2") = "3"
    & squares("1","2","3","3","2","1","1","3") = "3"
    & squares("1","2","3","3","2","1","2","1") = "3"
    & squares("1","2","3","3","2","1","2","2") = "3"
    & squares("1","2","3","3","2","1","2","3") = "3"
    & squares("1","2","3","3","2","1","3","1") = "3"
    & squares("1","2","3","3","2","1","3","2") = "3"
    & squares("1","2","3","3","2","1","3","3") = "3"
    & squares("1","2","3","3","2","2","1","1") = "3"
    & squares("1","2","3","3","2","2","1","2") = "3"
    & squares("1","2","3","3","2","2","1","3") = "3"
    & squares("1","2","3","3","2","2","2","1") = "3"
    & squares("1","2","3","3","2","2","2","2") = "3"
    & squares("1","2","3","3","2","2","2","3") = "3"
    & squares("1","2","3","3","2","2","3","1") = "3"
    & squares("1","2","3","3","2","2","3","2") = "3"
    & squares("1","2","3","3","2","2","3","3") = "3"
    & squares("1","2","3","3","2","3","1","1") = "3"
    & squares("1","2","3","3","2","3","1","2") = "3"
    & squares("1","2","3","3","2","3","1","3") = "3"
    & squares("1","2","3","3","2","3","2","1") = "3"
    & squares("1","2","3","3","2","3","2","2") = "3"
    & squares("1","2","3","3","2","3","2","3") = "3"
    & squares("1","2","3","3","2","3","3","1") = "3"
    & squares("1","2","3","3","2","3","3","2") = "3"
    & squares("1","2","3","3","2","3","3","3") = "3"
    & squares("1","2","3","3","3","1","1","1") = "3"
    & squares("1","2","3","3","3","1","1","2") = "3"
    & squares("1","2","3","3","3","1","1","3") = "3"
    & squares("1","2","3","3","3","1","2","1") = "3"
    & squares("1","2","3","3","3","1","2","2") = "3"
    & squares("1","2","3","3","3","1","2","3") = "3"
    & squares("1","2","3","3","3","1","3","1") = "3"
    & squares("1","2","3","3","3","1","3","2") = "3"
    & squares("1","2","3","3","3","1","3","3") = "3"
    & squares("1","2","3","3","3","2","1","1") = "3"
    & squares("1","2","3","3","3","2","1","2") = "3"
    & squares("1","2","3","3","3","2","1","3") = "3"
    & squares("1","2","3","3","3","2","2","1") = "3"
    & squares("1","2","3","3","3","2","2","2") = "3"
    & squares("1","2","3","3","3","2","2","3") = "3"
    & squares("1","2","3","3","3","2","3","1") = "3"
    & squares("1","2","3","3","3","2","3","2") = "3"
    & squares("1","2","3","3","3","2","3","3") = "3"
    & squares("1","2","3","3","3","3","1","1") = "3"
    & squares("1","2","3","3","3","3","1","2") = "3"
    & squares("1","2","3","3","3","3","1","3") = "3"
    & squares("1","2","3","3","3","3","2","1") = "3"
    & squares("1","2","3","3","3","3","2","2") = "3"
    & squares("1","2","3","3","3","3","2","3") = "3"
    & squares("1","2","3","3","3","3","3","1") = "3"
    & squares("1","2","3","3","3","3","3","2") = "3"
    & squares("1","2","3","3","3","3","3","3") = "3"
    & squares("1","3","1","1","1","1","1","1") = "3"
    & squares("1","3","1","1","1","1","1","2") = "3"
    & squares("1","3","1","1","1","1","1","3") = "3"
    & squares("1","3","1","1","1","1","2","1") = "3"
    & squares("1","3","1","1","1","1","2","2") = "3"
    & squares("1","3","1","1","1","1","2","3") = "3"
    & squares("1","3","1","1","1","1","3","1") = "3"
    & squares("1","3","1","1","1","1","3","2") = "3"
    & squares("1","3","1","1","1","1","3","3") = "3"
    & squares("1","3","1","1","1","2","1","1") = "3"
    & squares("1","3","1","1","1","2","1","2") = "3"
    & squares("1","3","1","1","1","2","1","3") = "3"
    & squares("1","3","1","1","1","2","2","1") = "3"
    & squares("1","3","1","1","1","2","2","2") = "3"
    & squares("1","3","1","1","1","2","2","3") = "3"
    & squares("1","3","1","1","1","2","3","1") = "3"
    & squares("1","3","1","1","1","2","3","2") = "3"
    & squares("1","3","1","1","1","2","3","3") = "3"
    & squares("1","3","1","1","1","3","1","1") = "3"
    & squares("1","3","1","1","1","3","1","2") = "3"
    & squares("1","3","1","1","1","3","1","3") = "3"
    & squares("1","3","1","1","1","3","2","1") = "3"
    & squares("1","3","1","1","1","3","2","2") = "3"
    & squares("1","3","1","1","1","3","2","3") = "3"
    & squares("1","3","1","1","1","3","3","1") = "3"
    & squares("1","3","1","1","1","3","3","2") = "3"
    & squares("1","3","1","1","1","3","3","3") = "3"
    & squares("1","3","1","1","2","1","1","1") = "3"
    & squares("1","3","1","1","2","1","1","2") = "3"
    & squares("1","3","1","1","2","1","1","3") = "3"
    & squares("1","3","1","1","2","1","2","1") = "3"
    & squares("1","3","1","1","2","1","2","2") = "3"
    & squares("1","3","1","1","2","1","2","3") = "3"
    & squares("1","3","1","1","2","1","3","1") = "3"
    & squares("1","3","1","1","2","1","3","2") = "3"
    & squares("1","3","1","1","2","1","3","3") = "3"
    & squares("1","3","1","1","2","2","1","1") = "3"
    & squares("1","3","1","1","2","2","1","2") = "3"
    & squares("1","3","1","1","2","2","1","3") = "3"
    & squares("1","3","1","1","2","2","2","1") = "3"
    & squares("1","3","1","1","2","2","2","2") = "3"
    & squares("1","3","1","1","2","2","2","3") = "3"
    & squares("1","3","1","1","2","2","3","1") = "3"
    & squares("1","3","1","1","2","2","3","2") = "3"
    & squares("1","3","1","1","2","2","3","3") = "3"
    & squares("1","3","1","1","2","3","1","1") = "3"
    & squares("1","3","1","1","2","3","1","2") = "3"
    & squares("1","3","1","1","2","3","1","3") = "3"
    & squares("1","3","1","1","2","3","2","1") = "3"
    & squares("1","3","1","1","2","3","2","2") = "3"
    & squares("1","3","1","1","2","3","2","3") = "3"
    & squares("1","3","1","1","2","3","3","1") = "3"
    & squares("1","3","1","1","2","3","3","2") = "3"
    & squares("1","3","1","1","2","3","3","3") = "3"
    & squares("1","3","1","1","3","1","1","1") = "3"
    & squares("1","3","1","1","3","1","1","2") = "3"
    & squares("1","3","1","1","3","1","1","3") = "3"
    & squares("1","3","1","1","3","1","2","1") = "3"
    & squares("1","3","1","1","3","1","2","2") = "3"
    & squares("1","3","1","1","3","1","2","3") = "3"
    & squares("1","3","1","1","3","1","3","1") = "3"
    & squares("1","3","1","1","3","1","3","2") = "3"
    & squares("1","3","1","1","3","1","3","3") = "3"
    & squares("1","3","1","1","3","2","1","1") = "3"
    & squares("1","3","1","1","3","2","1","2") = "3"
    & squares("1","3","1","1","3","2","1","3") = "3"
    & squares("1","3","1","1","3","2","2","1") = "3"
    & squares("1","3","1","1","3","2","2","2") = "3"
    & squares("1","3","1","1","3","2","2","3") = "3"
    & squares("1","3","1","1","3","2","3","1") = "3"
    & squares("1","3","1","1","3","2","3","2") = "3"
    & squares("1","3","1","1","3","2","3","3") = "3"
    & squares("1","3","1","1","3","3","1","1") = "3"
    & squares("1","3","1","1","3","3","1","2") = "3"
    & squares("1","3","1","1","3","3","1","3") = "3"
    & squares("1","3","1","1","3","3","2","1") = "3"
    & squares("1","3","1","1","3","3","2","2") = "3"
    & squares("1","3","1","1","3","3","2","3") = "3"
    & squares("1","3","1","1","3","3","3","1") = "3"
    & squares("1","3","1","1","3","3","3","2") = "3"
    & squares("1","3","1","1","3","3","3","3") = "3"
    & squares("1","3","1","2","1","1","1","1") = "3"
    & squares("1","3","1","2","1","1","1","2") = "3"
    & squares("1","3","1","2","1","1","1","3") = "3"
    & squares("1","3","1","2","1","1","2","1") = "3"
    & squares("1","3","1","2","1","1","2","2") = "3"
    & squares("1","3","1","2","1","1","2","3") = "3"
    & squares("1","3","1","2","1","1","3","1") = "3"
    & squares("1","3","1","2","1","1","3","2") = "3"
    & squares("1","3","1","2","1","1","3","3") = "3"
    & squares("1","3","1","2","1","2","1","1") = "3"
    & squares("1","3","1","2","1","2","1","2") = "3"
    & squares("1","3","1","2","1","2","1","3") = "3"
    & squares("1","3","1","2","1","2","2","1") = "3"
    & squares("1","3","1","2","1","2","2","2") = "3"
    & squares("1","3","1","2","1","2","2","3") = "3"
    & squares("1","3","1","2","1","2","3","1") = "3"
    & squares("1","3","1","2","1","2","3","2") = "3"
    & squares("1","3","1","2","1","2","3","3") = "3"
    & squares("1","3","1","2","1","3","1","1") = "3"
    & squares("1","3","1","2","1","3","1","2") = "3"
    & squares("1","3","1","2","1","3","1","3") = "3"
    & squares("1","3","1","2","1","3","2","1") = "3"
    & squares("1","3","1","2","1","3","2","2") = "3"
    & squares("1","3","1","2","1","3","2","3") = "3"
    & squares("1","3","1","2","1","3","3","1") = "3"
    & squares("1","3","1","2","1","3","3","2") = "3"
    & squares("1","3","1","2","1","3","3","3") = "3"
    & squares("1","3","1","2","2","1","1","1") = "3"
    & squares("1","3","1","2","2","1","1","2") = "3"
    & squares("1","3","1","2","2","1","1","3") = "3"
    & squares("1","3","1","2","2","1","2","1") = "3"
    & squares("1","3","1","2","2","1","2","2") = "3"
    & squares("1","3","1","2","2","1","2","3") = "3"
    & squares("1","3","1","2","2","1","3","1") = "3"
    & squares("1","3","1","2","2","1","3","2") = "3"
    & squares("1","3","1","2","2","1","3","3") = "3"
    & squares("1","3","1","2","2","2","1","1") = "3"
    & squares("1","3","1","2","2","2","1","2") = "3"
    & squares("1","3","1","2","2","2","1","3") = "3"
    & squares("1","3","1","2","2","2","2","1") = "3"
    & squares("1","3","1","2","2","2","2","2") = "3"
    & squares("1","3","1","2","2","2","2","3") = "3"
    & squares("1","3","1","2","2","2","3","1") = "3"
    & squares("1","3","1","2","2","2","3","2") = "3"
    & squares("1","3","1","2","2","2","3","3") = "3"
    & squares("1","3","1","2","2","3","1","1") = "3"
    & squares("1","3","1","2","2","3","1","2") = "3"
    & squares("1","3","1","2","2","3","1","3") = "3"
    & squares("1","3","1","2","2","3","2","1") = "3"
    & squares("1","3","1","2","2","3","2","2") = "3"
    & squares("1","3","1","2","2","3","2","3") = "3"
    & squares("1","3","1","2","2","3","3","1") = "3"
    & squares("1","3","1","2","2","3","3","2") = "3"
    & squares("1","3","1","2","2","3","3","3") = "3"
    & squares("1","3","1","2","3","1","1","1") = "3"
    & squares("1","3","1","2","3","1","1","2") = "3"
    & squares("1","3","1","2","3","1","1","3") = "3"
    & squares("1","3","1","2","3","1","2","1") = "3"
    & squares("1","3","1","2","3","1","2","2") = "3"
    & squares("1","3","1","2","3","1","2","3") = "3"
    & squares("1","3","1","2","3","1","3","1") = "3"
    & squares("1","3","1","2","3","1","3","2") = "3"
    & squares("1","3","1","2","3","1","3","3") = "3"
    & squares("1","3","1","2","3","2","1","1") = "3"
    & squares("1","3","1","2","3","2","1","2") = "3"
    & squares("1","3","1","2","3","2","1","3") = "3"
    & squares("1","3","1","2","3","2","2","1") = "3"
    & squares("1","3","1","2","3","2","2","2") = "3"
    & squares("1","3","1","2","3","2","2","3") = "3"
    & squares("1","3","1","2","3","2","3","1") = "3"
    & squares("1","3","1","2","3","2","3","2") = "3"
    & squares("1","3","1","2","3","2","3","3") = "3"
    & squares("1","3","1","2","3","3","1","1") = "3"
    & squares("1","3","1","2","3","3","1","2") = "3"
    & squares("1","3","1","2","3","3","1","3") = "3"
    & squares("1","3","1","2","3","3","2","1") = "3"
    & squares("1","3","1","2","3","3","2","2") = "3"
    & squares("1","3","1","2","3","3","2","3") = "3"
    & squares("1","3","1","2","3","3","3","1") = "3"
    & squares("1","3","1","2","3","3","3","2") = "3"
    & squares("1","3","1","2","3","3","3","3") = "3"
    & squares("1","3","1","3","1","1","1","1") = "3"
    & squares("1","3","1","3","1","1","1","2") = "3"
    & squares("1","3","1","3","1","1","1","3") = "3"
    & squares("1","3","1","3","1","1","2","1") = "3"
    & squares("1","3","1","3","1","1","2","2") = "3"
    & squares("1","3","1","3","1","1","2","3") = "3"
    & squares("1","3","1","3","1","1","3","1") = "3"
    & squares("1","3","1","3","1","1","3","2") = "3"
    & squares("1","3","1","3","1","1","3","3") = "3"
    & squares("1","3","1","3","1","2","1","1") = "3"
    & squares("1","3","1","3","1","2","1","2") = "3"
    & squares("1","3","1","3","1","2","1","3") = "3"
    & squares("1","3","1","3","1","2","2","1") = "3"
    & squares("1","3","1","3","1","2","2","2") = "3"
    & squares("1","3","1","3","1","2","2","3") = "3"
    & squares("1","3","1","3","1","2","3","1") = "3"
    & squares("1","3","1","3","1","2","3","2") = "3"
    & squares("1","3","1","3","1","2","3","3") = "3"
    & squares("1","3","1","3","1","3","1","1") = "3"
    & squares("1","3","1","3","1","3","1","2") = "3"
    & squares("1","3","1","3","1","3","1","3") = "3"
    & squares("1","3","1","3","1","3","2","1") = "3"
    & squares("1","3","1","3","1","3","2","2") = "3"
    & squares("1","3","1","3","1","3","2","3") = "3"
    & squares("1","3","1","3","1","3","3","1") = "3"
    & squares("1","3","1","3","1","3","3","2") = "3"
    & squares("1","3","1","3","1","3","3","3") = "3"
    & squares("1","3","1","3","2","1","1","1") = "3"
    & squares("1","3","1","3","2","1","1","2") = "3"
    & squares("1","3","1","3","2","1","1","3") = "3"
    & squares("1","3","1","3","2","1","2","1") = "3"
    & squares("1","3","1","3","2","1","2","2") = "3"
    & squares("1","3","1","3","2","1","2","3") = "3"
    & squares("1","3","1","3","2","1","3","1") = "3"
    & squares("1","3","1","3","2","1","3","2") = "3"
    & squares("1","3","1","3","2","1","3","3") = "3"
    & squares("1","3","1","3","2","2","1","1") = "3"
    & squares("1","3","1","3","2","2","1","2") = "3"
    & squares("1","3","1","3","2","2","1","3") = "3"
    & squares("1","3","1","3","2","2","2","1") = "3"
    & squares("1","3","1","3","2","2","2","2") = "3"
    & squares("1","3","1","3","2","2","2","3") = "3"
    & squares("1","3","1","3","2","2","3","1") = "3"
    & squares("1","3","1","3","2","2","3","2") = "3"
    & squares("1","3","1","3","2","2","3","3") = "3"
    & squares("1","3","1","3","2","3","1","1") = "3"
    & squares("1","3","1","3","2","3","1","2") = "3"
    & squares("1","3","1","3","2","3","1","3") = "3"
    & squares("1","3","1","3","2","3","2","1") = "3"
    & squares("1","3","1","3","2","3","2","2") = "3"
    & squares("1","3","1","3","2","3","2","3") = "3"
    & squares("1","3","1","3","2","3","3","1") = "3"
    & squares("1","3","1","3","2","3","3","2") = "3"
    & squares("1","3","1","3","2","3","3","3") = "3"
    & squares("1","3","1","3","3","1","1","1") = "3"
    & squares("1","3","1","3","3","1","1","2") = "3"
    & squares("1","3","1","3","3","1","1","3") = "3"
    & squares("1","3","1","3","3","1","2","1") = "3"
    & squares("1","3","1","3","3","1","2","2") = "3"
    & squares("1","3","1","3","3","1","2","3") = "3"
    & squares("1","3","1","3","3","1","3","1") = "3"
    & squares("1","3","1","3","3","1","3","2") = "3"
    & squares("1","3","1","3","3","1","3","3") = "3"
    & squares("1","3","1","3","3","2","1","1") = "3"
    & squares("1","3","1","3","3","2","1","2") = "3"
    & squares("1","3","1","3","3","2","1","3") = "3"
    & squares("1","3","1","3","3","2","2","1") = "3"
    & squares("1","3","1","3","3","2","2","2") = "3"
    & squares("1","3","1","3","3","2","2","3") = "3"
    & squares("1","3","1","3","3","2","3","1") = "3"
    & squares("1","3","1","3","3","2","3","2") = "3"
    & squares("1","3","1","3","3","2","3","3") = "3"
    & squares("1","3","1","3","3","3","1","1") = "3"
    & squares("1","3","1","3","3","3","1","2") = "3"
    & squares("1","3","1","3","3","3","1","3") = "3"
    & squares("1","3","1","3","3","3","2","1") = "3"
    & squares("1","3","1","3","3","3","2","2") = "3"
    & squares("1","3","1","3","3","3","2","3") = "3"
    & squares("1","3","1","3","3","3","3","1") = "3"
    & squares("1","3","1","3","3","3","3","2") = "3"
    & squares("1","3","1","3","3","3","3","3") = "3"
    & squares("1","3","2","1","1","1","1","1") = "3"
    & squares("1","3","2","1","1","1","1","2") = "3"
    & squares("1","3","2","1","1","1","1","3") = "3"
    & squares("1","3","2","1","1","1","2","1") = "3"
    & squares("1","3","2","1","1","1","2","2") = "3"
    & squares("1","3","2","1","1","1","2","3") = "3"
    & squares("1","3","2","1","1","1","3","1") = "3"
    & squares("1","3","2","1","1","1","3","2") = "3"
    & squares("1","3","2","1","1","1","3","3") = "3"
    & squares("1","3","2","1","1","2","1","1") = "3"
    & squares("1","3","2","1","1","2","1","2") = "3"
    & squares("1","3","2","1","1","2","1","3") = "3"
    & squares("1","3","2","1","1","2","2","1") = "3"
    & squares("1","3","2","1","1","2","2","2") = "3"
    & squares("1","3","2","1","1","2","2","3") = "3"
    & squares("1","3","2","1","1","2","3","1") = "3"
    & squares("1","3","2","1","1","2","3","2") = "3"
    & squares("1","3","2","1","1","2","3","3") = "3"
    & squares("1","3","2","1","1","3","1","1") = "3"
    & squares("1","3","2","1","1","3","1","2") = "3"
    & squares("1","3","2","1","1","3","1","3") = "3"
    & squares("1","3","2","1","1","3","2","1") = "3"
    & squares("1","3","2","1","1","3","2","2") = "3"
    & squares("1","3","2","1","1","3","2","3") = "3"
    & squares("1","3","2","1","1","3","3","1") = "3"
    & squares("1","3","2","1","1","3","3","2") = "3"
    & squares("1","3","2","1","1","3","3","3") = "3"
    & squares("1","3","2","1","2","1","1","1") = "3"
    & squares("1","3","2","1","2","1","1","2") = "3"
    & squares("1","3","2","1","2","1","1","3") = "3"
    & squares("1","3","2","1","2","1","2","1") = "3"
    & squares("1","3","2","1","2","1","2","2") = "3"
    & squares("1","3","2","1","2","1","2","3") = "3"
    & squares("1","3","2","1","2","1","3","1") = "3"
    & squares("1","3","2","1","2","1","3","2") = "3"
    & squares("1","3","2","1","2","1","3","3") = "3"
    & squares("1","3","2","1","2","2","1","1") = "3"
    & squares("1","3","2","1","2","2","1","2") = "3"
    & squares("1","3","2","1","2","2","1","3") = "3"
    & squares("1","3","2","1","2","2","2","1") = "3"
    & squares("1","3","2","1","2","2","2","2") = "3"
    & squares("1","3","2","1","2","2","2","3") = "3"
    & squares("1","3","2","1","2","2","3","1") = "3"
    & squares("1","3","2","1","2","2","3","2") = "3"
    & squares("1","3","2","1","2","2","3","3") = "3"
    & squares("1","3","2","1","2","3","1","1") = "3"
    & squares("1","3","2","1","2","3","1","2") = "3"
    & squares("1","3","2","1","2","3","1","3") = "3"
    & squares("1","3","2","1","2","3","2","1") = "3"
    & squares("1","3","2","1","2","3","2","2") = "3"
    & squares("1","3","2","1","2","3","2","3") = "3"
    & squares("1","3","2","1","2","3","3","1") = "3"
    & squares("1","3","2","1","2","3","3","2") = "3"
    & squares("1","3","2","1","2","3","3","3") = "3"
    & squares("1","3","2","1","3","1","1","1") = "3"
    & squares("1","3","2","1","3","1","1","2") = "3"
    & squares("1","3","2","1","3","1","1","3") = "3"
    & squares("1","3","2","1","3","1","2","1") = "3"
    & squares("1","3","2","1","3","1","2","2") = "3"
    & squares("1","3","2","1","3","1","2","3") = "3"
    & squares("1","3","2","1","3","1","3","1") = "3"
    & squares("1","3","2","1","3","1","3","2") = "3"
    & squares("1","3","2","1","3","1","3","3") = "3"
    & squares("1","3","2","1","3","2","1","1") = "3"
    & squares("1","3","2","1","3","2","1","2") = "3"
    & squares("1","3","2","1","3","2","1","3") = "3"
    & squares("1","3","2","1","3","2","2","1") = "3"
    & squares("1","3","2","1","3","2","2","2") = "3"
    & squares("1","3","2","1","3","2","2","3") = "3"
    & squares("1","3","2","1","3","2","3","1") = "3"
    & squares("1","3","2","1","3","2","3","2") = "3"
    & squares("1","3","2","1","3","2","3","3") = "3"
    & squares("1","3","2","1","3","3","1","1") = "3"
    & squares("1","3","2","1","3","3","1","2") = "3"
    & squares("1","3","2","1","3","3","1","3") = "3"
    & squares("1","3","2","1","3","3","2","1") = "3"
    & squares("1","3","2","1","3","3","2","2") = "3"
    & squares("1","3","2","1","3","3","2","3") = "3"
    & squares("1","3","2","1","3","3","3","1") = "3"
    & squares("1","3","2","1","3","3","3","2") = "3"
    & squares("1","3","2","1","3","3","3","3") = "3"
    & squares("1","3","2","2","1","1","1","1") = "3"
    & squares("1","3","2","2","1","1","1","2") = "3"
    & squares("1","3","2","2","1","1","1","3") = "3"
    & squares("1","3","2","2","1","1","2","1") = "3"
    & squares("1","3","2","2","1","1","2","2") = "3"
    & squares("1","3","2","2","1","1","2","3") = "3"
    & squares("1","3","2","2","1","1","3","1") = "3"
    & squares("1","3","2","2","1","1","3","2") = "3"
    & squares("1","3","2","2","1","1","3","3") = "3"
    & squares("1","3","2","2","1","2","1","1") = "3"
    & squares("1","3","2","2","1","2","1","2") = "3"
    & squares("1","3","2","2","1","2","1","3") = "3"
    & squares("1","3","2","2","1","2","2","1") = "3"
    & squares("1","3","2","2","1","2","2","2") = "3"
    & squares("1","3","2","2","1","2","2","3") = "3"
    & squares("1","3","2","2","1","2","3","1") = "3"
    & squares("1","3","2","2","1","2","3","2") = "3"
    & squares("1","3","2","2","1","2","3","3") = "3"
    & squares("1","3","2","2","1","3","1","1") = "3"
    & squares("1","3","2","2","1","3","1","2") = "3"
    & squares("1","3","2","2","1","3","1","3") = "3"
    & squares("1","3","2","2","1","3","2","1") = "3"
    & squares("1","3","2","2","1","3","2","2") = "3"
    & squares("1","3","2","2","1","3","2","3") = "3"
    & squares("1","3","2","2","1","3","3","1") = "3"
    & squares("1","3","2","2","1","3","3","2") = "3"
    & squares("1","3","2","2","1","3","3","3") = "3"
    & squares("1","3","2","2","2","1","1","1") = "3"
    & squares("1","3","2","2","2","1","1","2") = "3"
    & squares("1","3","2","2","2","1","1","3") = "3"
    & squares("1","3","2","2","2","1","2","1") = "3"
    & squares("1","3","2","2","2","1","2","2") = "3"
    & squares("1","3","2","2","2","1","2","3") = "3"
    & squares("1","3","2","2","2","1","3","1") = "3"
    & squares("1","3","2","2","2","1","3","2") = "3"
    & squares("1","3","2","2","2","1","3","3") = "3"
    & squares("1","3","2","2","2","2","1","1") = "3"
    & squares("1","3","2","2","2","2","1","2") = "3"
    & squares("1","3","2","2","2","2","1","3") = "3"
    & squares("1","3","2","2","2","2","2","1") = "3"
    & squares("1","3","2","2","2","2","2","2") = "3"
    & squares("1","3","2","2","2","2","2","3") = "3"
    & squares("1","3","2","2","2","2","3","1") = "3"
    & squares("1","3","2","2","2","2","3","2") = "3"
    & squares("1","3","2","2","2","2","3","3") = "3"
    & squares("1","3","2","2","2","3","1","1") = "3"
    & squares("1","3","2","2","2","3","1","2") = "3"
    & squares("1","3","2","2","2","3","1","3") = "3"
    & squares("1","3","2","2","2","3","2","1") = "3"
    & squares("1","3","2","2","2","3","2","2") = "3"
    & squares("1","3","2","2","2","3","2","3") = "3"
    & squares("1","3","2","2","2","3","3","1") = "3"
    & squares("1","3","2","2","2","3","3","2") = "3"
    & squares("1","3","2","2","2","3","3","3") = "3"
    & squares("1","3","2","2","3","1","1","1") = "3"
    & squares("1","3","2","2","3","1","1","2") = "3"
    & squares("1","3","2","2","3","1","1","3") = "3"
    & squares("1","3","2","2","3","1","2","1") = "3"
    & squares("1","3","2","2","3","1","2","2") = "3"
    & squares("1","3","2","2","3","1","2","3") = "3"
    & squares("1","3","2","2","3","1","3","1") = "3"
    & squares("1","3","2","2","3","1","3","2") = "3"
    & squares("1","3","2","2","3","1","3","3") = "3"
    & squares("1","3","2","2","3","2","1","1") = "3"
    & squares("1","3","2","2","3","2","1","2") = "3"
    & squares("1","3","2","2","3","2","1","3") = "3"
    & squares("1","3","2","2","3","2","2","1") = "3"
    & squares("1","3","2","2","3","2","2","2") = "3"
    & squares("1","3","2","2","3","2","2","3") = "3"
    & squares("1","3","2","2","3","2","3","1") = "3"
    & squares("1","3","2","2","3","2","3","2") = "3"
    & squares("1","3","2","2","3","2","3","3") = "3"
    & squares("1","3","2","2","3","3","1","1") = "3"
    & squares("1","3","2","2","3","3","1","2") = "3"
    & squares("1","3","2","2","3","3","1","3") = "3"
    & squares("1","3","2","2","3","3","2","1") = "3"
    & squares("1","3","2","2","3","3","2","2") = "3"
    & squares("1","3","2","2","3","3","2","3") = "3"
    & squares("1","3","2","2","3","3","3","1") = "3"
    & squares("1","3","2","2","3","3","3","2") = "3"
    & squares("1","3","2","2","3","3","3","3") = "3"
    & squares("1","3","2","3","1","1","1","1") = "3"
    & squares("1","3","2","3","1","1","1","2") = "3"
    & squares("1","3","2","3","1","1","1","3") = "3"
    & squares("1","3","2","3","1","1","2","1") = "3"
    & squares("1","3","2","3","1","1","2","2") = "3"
    & squares("1","3","2","3","1","1","2","3") = "3"
    & squares("1","3","2","3","1","1","3","1") = "3"
    & squares("1","3","2","3","1","1","3","2") = "3"
    & squares("1","3","2","3","1","1","3","3") = "3"
    & squares("1","3","2","3","1","2","1","1") = "3"
    & squares("1","3","2","3","1","2","1","2") = "3"
    & squares("1","3","2","3","1","2","1","3") = "3"
    & squares("1","3","2","3","1","2","2","1") = "3"
    & squares("1","3","2","3","1","2","2","2") = "3"
    & squares("1","3","2","3","1","2","2","3") = "3"
    & squares("1","3","2","3","1","2","3","1") = "3"
    & squares("1","3","2","3","1","2","3","2") = "3"
    & squares("1","3","2","3","1","2","3","3") = "3"
    & squares("1","3","2","3","1","3","1","1") = "3"
    & squares("1","3","2","3","1","3","1","2") = "3"
    & squares("1","3","2","3","1","3","1","3") = "3"
    & squares("1","3","2","3","1","3","2","1") = "3"
    & squares("1","3","2","3","1","3","2","2") = "3"
    & squares("1","3","2","3","1","3","2","3") = "3"
    & squares("1","3","2","3","1","3","3","1") = "3"
    & squares("1","3","2","3","1","3","3","2") = "3"
    & squares("1","3","2","3","1","3","3","3") = "3"
    & squares("1","3","2","3","2","1","1","1") = "3"
    & squares("1","3","2","3","2","1","1","2") = "3"
    & squares("1","3","2","3","2","1","1","3") = "3"
    & squares("1","3","2","3","2","1","2","1") = "3"
    & squares("1","3","2","3","2","1","2","2") = "3"
    & squares("1","3","2","3","2","1","2","3") = "3"
    & squares("1","3","2","3","2","1","3","1") = "3"
    & squares("1","3","2","3","2","1","3","2") = "3"
    & squares("1","3","2","3","2","1","3","3") = "3"
    & squares("1","3","2","3","2","2","1","1") = "3"
    & squares("1","3","2","3","2","2","1","2") = "3"
    & squares("1","3","2","3","2","2","1","3") = "3"
    & squares("1","3","2","3","2","2","2","1") = "3"
    & squares("1","3","2","3","2","2","2","2") = "3"
    & squares("1","3","2","3","2","2","2","3") = "3"
    & squares("1","3","2","3","2","2","3","1") = "3"
    & squares("1","3","2","3","2","2","3","2") = "3"
    & squares("1","3","2","3","2","2","3","3") = "3"
    & squares("1","3","2","3","2","3","1","1") = "3"
    & squares("1","3","2","3","2","3","1","2") = "3"
    & squares("1","3","2","3","2","3","1","3") = "3"
    & squares("1","3","2","3","2","3","2","1") = "3"
    & squares("1","3","2","3","2","3","2","2") = "3"
    & squares("1","3","2","3","2","3","2","3") = "3"
    & squares("1","3","2","3","2","3","3","1") = "3"
    & squares("1","3","2","3","2","3","3","2") = "3"
    & squares("1","3","2","3","2","3","3","3") = "3"
    & squares("1","3","2","3","3","1","1","1") = "3"
    & squares("1","3","2","3","3","1","1","2") = "3"
    & squares("1","3","2","3","3","1","1","3") = "3"
    & squares("1","3","2","3","3","1","2","1") = "3"
    & squares("1","3","2","3","3","1","2","2") = "3"
    & squares("1","3","2","3","3","1","2","3") = "3"
    & squares("1","3","2","3","3","1","3","1") = "3"
    & squares("1","3","2","3","3","1","3","2") = "3"
    & squares("1","3","2","3","3","1","3","3") = "3"
    & squares("1","3","2","3","3","2","1","1") = "3"
    & squares("1","3","2","3","3","2","1","2") = "3"
    & squares("1","3","2","3","3","2","1","3") = "3"
    & squares("1","3","2","3","3","2","2","1") = "3"
    & squares("1","3","2","3","3","2","2","2") = "3"
    & squares("1","3","2","3","3","2","2","3") = "3"
    & squares("1","3","2","3","3","2","3","1") = "3"
    & squares("1","3","2","3","3","2","3","2") = "3"
    & squares("1","3","2","3","3","2","3","3") = "3"
    & squares("1","3","2","3","3","3","1","1") = "3"
    & squares("1","3","2","3","3","3","1","2") = "3"
    & squares("1","3","2","3","3","3","1","3") = "3"
    & squares("1","3","2","3","3","3","2","1") = "3"
    & squares("1","3","2","3","3","3","2","2") = "3"
    & squares("1","3","2","3","3","3","2","3") = "3"
    & squares("1","3","2","3","3","3","3","1") = "3"
    & squares("1","3","2","3","3","3","3","2") = "3"
    & squares("1","3","2","3","3","3","3","3") = "3"
    & squares("1","3","3","1","1","1","1","1") = "3"
    & squares("1","3","3","1","1","1","1","2") = "3"
    & squares("1","3","3","1","1","1","1","3") = "3"
    & squares("1","3","3","1","1","1","2","1") = "3"
    & squares("1","3","3","1","1","1","2","2") = "3"
    & squares("1","3","3","1","1","1","2","3") = "3"
    & squares("1","3","3","1","1","1","3","1") = "3"
    & squares("1","3","3","1","1","1","3","2") = "3"
    & squares("1","3","3","1","1","1","3","3") = "3"
    & squares("1","3","3","1","1","2","1","1") = "3"
    & squares("1","3","3","1","1","2","1","2") = "3"
    & squares("1","3","3","1","1","2","1","3") = "3"
    & squares("1","3","3","1","1","2","2","1") = "3"
    & squares("1","3","3","1","1","2","2","2") = "3"
    & squares("1","3","3","1","1","2","2","3") = "3"
    & squares("1","3","3","1","1","2","3","1") = "3"
    & squares("1","3","3","1","1","2","3","2") = "3"
    & squares("1","3","3","1","1","2","3","3") = "3"
    & squares("1","3","3","1","1","3","1","1") = "3"
    & squares("1","3","3","1","1","3","1","2") = "3"
    & squares("1","3","3","1","1","3","1","3") = "3"
    & squares("1","3","3","1","1","3","2","1") = "3"
    & squares("1","3","3","1","1","3","2","2") = "3"
    & squares("1","3","3","1","1","3","2","3") = "3"
    & squares("1","3","3","1","1","3","3","1") = "3"
    & squares("1","3","3","1","1","3","3","2") = "3"
    & squares("1","3","3","1","1","3","3","3") = "3"
    & squares("1","3","3","1","2","1","1","1") = "3"
    & squares("1","3","3","1","2","1","1","2") = "3"
    & squares("1","3","3","1","2","1","1","3") = "3"
    & squares("1","3","3","1","2","1","2","1") = "3"
    & squares("1","3","3","1","2","1","2","2") = "3"
    & squares("1","3","3","1","2","1","2","3") = "3"
    & squares("1","3","3","1","2","1","3","1") = "3"
    & squares("1","3","3","1","2","1","3","2") = "3"
    & squares("1","3","3","1","2","1","3","3") = "3"
    & squares("1","3","3","1","2","2","1","1") = "3"
    & squares("1","3","3","1","2","2","1","2") = "3"
    & squares("1","3","3","1","2","2","1","3") = "3"
    & squares("1","3","3","1","2","2","2","1") = "3"
    & squares("1","3","3","1","2","2","2","2") = "3"
    & squares("1","3","3","1","2","2","2","3") = "3"
    & squares("1","3","3","1","2","2","3","1") = "3"
    & squares("1","3","3","1","2","2","3","2") = "3"
    & squares("1","3","3","1","2","2","3","3") = "3"
    & squares("1","3","3","1","2","3","1","1") = "3"
    & squares("1","3","3","1","2","3","1","2") = "3"
    & squares("1","3","3","1","2","3","1","3") = "3"
    & squares("1","3","3","1","2","3","2","1") = "3"
    & squares("1","3","3","1","2","3","2","2") = "3"
    & squares("1","3","3","1","2","3","2","3") = "3"
    & squares("1","3","3","1","2","3","3","1") = "3"
    & squares("1","3","3","1","2","3","3","2") = "3"
    & squares("1","3","3","1","2","3","3","3") = "3"
    & squares("1","3","3","1","3","1","1","1") = "3"
    & squares("1","3","3","1","3","1","1","2") = "3"
    & squares("1","3","3","1","3","1","1","3") = "3"
    & squares("1","3","3","1","3","1","2","1") = "3"
    & squares("1","3","3","1","3","1","2","2") = "3"
    & squares("1","3","3","1","3","1","2","3") = "3"
    & squares("1","3","3","1","3","1","3","1") = "3"
    & squares("1","3","3","1","3","1","3","2") = "3"
    & squares("1","3","3","1","3","1","3","3") = "3"
    & squares("1","3","3","1","3","2","1","1") = "3"
    & squares("1","3","3","1","3","2","1","2") = "3"
    & squares("1","3","3","1","3","2","1","3") = "3"
    & squares("1","3","3","1","3","2","2","1") = "3"
    & squares("1","3","3","1","3","2","2","2") = "3"
    & squares("1","3","3","1","3","2","2","3") = "3"
    & squares("1","3","3","1","3","2","3","1") = "3"
    & squares("1","3","3","1","3","2","3","2") = "3"
    & squares("1","3","3","1","3","2","3","3") = "3"
    & squares("1","3","3","1","3","3","1","1") = "3"
    & squares("1","3","3","1","3","3","1","2") = "3"
    & squares("1","3","3","1","3","3","1","3") = "3"
    & squares("1","3","3","1","3","3","2","1") = "3"
    & squares("1","3","3","1","3","3","2","2") = "3"
    & squares("1","3","3","1","3","3","2","3") = "3"
    & squares("1","3","3","1","3","3","3","1") = "3"
    & squares("1","3","3","1","3","3","3","2") = "3"
    & squares("1","3","3","1","3","3","3","3") = "3"
    & squares("1","3","3","2","1","1","1","1") = "3"
    & squares("1","3","3","2","1","1","1","2") = "3"
    & squares("1","3","3","2","1","1","1","3") = "3"
    & squares("1","3","3","2","1","1","2","1") = "3"
    & squares("1","3","3","2","1","1","2","2") = "3"
    & squares("1","3","3","2","1","1","2","3") = "3"
    & squares("1","3","3","2","1","1","3","1") = "3"
    & squares("1","3","3","2","1","1","3","2") = "3"
    & squares("1","3","3","2","1","1","3","3") = "3"
    & squares("1","3","3","2","1","2","1","1") = "3"
    & squares("1","3","3","2","1","2","1","2") = "3"
    & squares("1","3","3","2","1","2","1","3") = "3"
    & squares("1","3","3","2","1","2","2","1") = "3"
    & squares("1","3","3","2","1","2","2","2") = "3"
    & squares("1","3","3","2","1","2","2","3") = "3"
    & squares("1","3","3","2","1","2","3","1") = "3"
    & squares("1","3","3","2","1","2","3","2") = "3"
    & squares("1","3","3","2","1","2","3","3") = "3"
    & squares("1","3","3","2","1","3","1","1") = "3"
    & squares("1","3","3","2","1","3","1","2") = "3"
    & squares("1","3","3","2","1","3","1","3") = "3"
    & squares("1","3","3","2","1","3","2","1") = "3"
    & squares("1","3","3","2","1","3","2","2") = "3"
    & squares("1","3","3","2","1","3","2","3") = "3"
    & squares("1","3","3","2","1","3","3","1") = "3"
    & squares("1","3","3","2","1","3","3","2") = "3"
    & squares("1","3","3","2","1","3","3","3") = "3"
    & squares("1","3","3","2","2","1","1","1") = "3"
    & squares("1","3","3","2","2","1","1","2") = "3"
    & squares("1","3","3","2","2","1","1","3") = "3"
    & squares("1","3","3","2","2","1","2","1") = "3"
    & squares("1","3","3","2","2","1","2","2") = "3"
    & squares("1","3","3","2","2","1","2","3") = "3"
    & squares("1","3","3","2","2","1","3","1") = "3"
    & squares("1","3","3","2","2","1","3","2") = "3"
    & squares("1","3","3","2","2","1","3","3") = "3"
    & squares("1","3","3","2","2","2","1","1") = "3"
    & squares("1","3","3","2","2","2","1","2") = "3"
    & squares("1","3","3","2","2","2","1","3") = "3"
    & squares("1","3","3","2","2","2","2","1") = "3"
    & squares("1","3","3","2","2","2","2","2") = "3"
    & squares("1","3","3","2","2","2","2","3") = "3"
    & squares("1","3","3","2","2","2","3","1") = "3"
    & squares("1","3","3","2","2","2","3","2") = "3"
    & squares("1","3","3","2","2","2","3","3") = "3"
    & squares("1","3","3","2","2","3","1","1") = "3"
    & squares("1","3","3","2","2","3","1","2") = "3"
    & squares("1","3","3","2","2","3","1","3") = "3"
    & squares("1","3","3","2","2","3","2","1") = "3"
    & squares("1","3","3","2","2","3","2","2") = "3"
    & squares("1","3","3","2","2","3","2","3") = "3"
    & squares("1","3","3","2","2","3","3","1") = "3"
    & squares("1","3","3","2","2","3","3","2") = "3"
    & squares("1","3","3","2","2","3","3","3") = "3"
    & squares("1","3","3","2","3","1","1","1") = "3"
    & squares("1","3","3","2","3","1","1","2") = "3"
    & squares("1","3","3","2","3","1","1","3") = "3"
    & squares("1","3","3","2","3","1","2","1") = "3"
    & squares("1","3","3","2","3","1","2","2") = "3"
    & squares("1","3","3","2","3","1","2","3") = "3"
    & squares("1","3","3","2","3","1","3","1") = "3"
    & squares("1","3","3","2","3","1","3","2") = "3"
    & squares("1","3","3","2","3","1","3","3") = "3"
    & squares("1","3","3","2","3","2","1","1") = "3"
    & squares("1","3","3","2","3","2","1","2") = "3"
    & squares("1","3","3","2","3","2","1","3") = "3"
    & squares("1","3","3","2","3","2","2","1") = "3"
    & squares("1","3","3","2","3","2","2","2") = "3"
    & squares("1","3","3","2","3","2","2","3") = "3"
    & squares("1","3","3","2","3","2","3","1") = "3"
    & squares("1","3","3","2","3","2","3","2") = "3"
    & squares("1","3","3","2","3","2","3","3") = "3"
    & squares("1","3","3","2","3","3","1","1") = "3"
    & squares("1","3","3","2","3","3","1","2") = "3"
    & squares("1","3","3","2","3","3","1","3") = "3"
    & squares("1","3","3","2","3","3","2","1") = "3"
    & squares("1","3","3","2","3","3","2","2") = "3"
    & squares("1","3","3","2","3","3","2","3") = "3"
    & squares("1","3","3","2","3","3","3","1") = "3"
    & squares("1","3","3","2","3","3","3","2") = "3"
    & squares("1","3","3","2","3","3","3","3") = "3"
    & squares("1","3","3","3","1","1","1","1") = "3"
    & squares("1","3","3","3","1","1","1","2") = "3"
    & squares("1","3","3","3","1","1","1","3") = "3"
    & squares("1","3","3","3","1","1","2","1") = "3"
    & squares("1","3","3","3","1","1","2","2") = "3"
    & squares("1","3","3","3","1","1","2","3") = "3"
    & squares("1","3","3","3","1","1","3","1") = "3"
    & squares("1","3","3","3","1","1","3","2") = "3"
    & squares("1","3","3","3","1","1","3","3") = "3"
    & squares("1","3","3","3","1","2","1","1") = "3"
    & squares("1","3","3","3","1","2","1","2") = "3"
    & squares("1","3","3","3","1","2","1","3") = "3"
    & squares("1","3","3","3","1","2","2","1") = "3"
    & squares("1","3","3","3","1","2","2","2") = "3"
    & squares("1","3","3","3","1","2","2","3") = "3"
    & squares("1","3","3","3","1","2","3","1") = "3"
    & squares("1","3","3","3","1","2","3","2") = "3"
    & squares("1","3","3","3","1","2","3","3") = "3"
    & squares("1","3","3","3","1","3","1","1") = "3"
    & squares("1","3","3","3","1","3","1","2") = "3"
    & squares("1","3","3","3","1","3","1","3") = "3"
    & squares("1","3","3","3","1","3","2","1") = "3"
    & squares("1","3","3","3","1","3","2","2") = "3"
    & squares("1","3","3","3","1","3","2","3") = "3"
    & squares("1","3","3","3","1","3","3","1") = "3"
    & squares("1","3","3","3","1","3","3","2") = "3"
    & squares("1","3","3","3","1","3","3","3") = "3"
    & squares("1","3","3","3","2","1","1","1") = "3"
    & squares("1","3","3","3","2","1","1","2") = "3"
    & squares("1","3","3","3","2","1","1","3") = "3"
    & squares("1","3","3","3","2","1","2","1") = "3"
    & squares("1","3","3","3","2","1","2","2") = "3"
    & squares("1","3","3","3","2","1","2","3") = "3"
    & squares("1","3","3","3","2","1","3","1") = "3"
    & squares("1","3","3","3","2","1","3","2") = "3"
    & squares("1","3","3","3","2","1","3","3") = "3"
    & squares("1","3","3","3","2","2","1","1") = "3"
    & squares("1","3","3","3","2","2","1","2") = "3"
    & squares("1","3","3","3","2","2","1","3") = "3"
    & squares("1","3","3","3","2","2","2","1") = "3"
    & squares("1","3","3","3","2","2","2","2") = "3"
    & squares("1","3","3","3","2","2","2","3") = "3"
    & squares("1","3","3","3","2","2","3","1") = "3"
    & squares("1","3","3","3","2","2","3","2") = "3"
    & squares("1","3","3","3","2","2","3","3") = "3"
    & squares("1","3","3","3","2","3","1","1") = "3"
    & squares("1","3","3","3","2","3","1","2") = "3"
    & squares("1","3","3","3","2","3","1","3") = "3"
    & squares("1","3","3","3","2","3","2","1") = "3"
    & squares("1","3","3","3","2","3","2","2") = "3"
    & squares("1","3","3","3","2","3","2","3") = "3"
    & squares("1","3","3","3","2","3","3","1") = "3"
    & squares("1","3","3","3","2","3","3","2") = "3"
    & squares("1","3","3","3","2","3","3","3") = "3"
    & squares("1","3","3","3","3","1","1","1") = "3"
    & squares("1","3","3","3","3","1","1","2") = "3"
    & squares("1","3","3","3","3","1","1","3") = "3"
    & squares("1","3","3","3","3","1","2","1") = "3"
    & squares("1","3","3","3","3","1","2","2") = "3"
    & squares("1","3","3","3","3","1","2","3") = "3"
    & squares("1","3","3","3","3","1","3","1") = "3"
    & squares("1","3","3","3","3","1","3","2") = "3"
    & squares("1","3","3","3","3","1","3","3") = "3"
    & squares("1","3","3","3","3","2","1","1") = "3"
    & squares("1","3","3","3","3","2","1","2") = "3"
    & squares("1","3","3","3","3","2","1","3") = "3"
    & squares("1","3","3","3","3","2","2","1") = "3"
    & squares("1","3","3","3","3","2","2","2") = "3"
    & squares("1","3","3","3","3","2","2","3") = "3"
    & squares("1","3","3","3","3","2","3","1") = "3"
    & squares("1","3","3","3","3","2","3","2") = "3"
    & squares("1","3","3","3","3","2","3","3") = "3"
    & squares("1","3","3","3","3","3","1","1") = "3"
    & squares("1","3","3","3","3","3","1","2") = "3"
    & squares("1","3","3","3","3","3","1","3") = "3"
    & squares("1","3","3","3","3","3","2","1") = "3"
    & squares("1","3","3","3","3","3","2","2") = "3"
    & squares("1","3","3","3","3","3","2","3") = "3"
    & squares("1","3","3","3","3","3","3","1") = "3"
    & squares("1","3","3","3","3","3","3","2") = "3"
    & squares("1","3","3","3","3","3","3","3") = "3"
    & squares("2","1","1","1","1","1","1","1") = "1"
    & squares("2","1","1","1","1","1","1","2") = "3"
    & squares("2","1","1","1","1","1","1","3") = "3"
    & squares("2","1","1","1","1","1","2","1") = "3"
    & squares("2","1","1","1","1","1","2","2") = "1"
    & squares("2","1","1","1","1","1","2","3") = "3"
    & squares("2","1","1","1","1","1","3","1") = "3"
    & squares("2","1","1","1","1","1","3","2") = "3"
    & squares("2","1","1","1","1","1","3","3") = "3"
    & squares("2","1","1","1","1","2","1","1") = "3"
    & squares("2","1","1","1","1","2","1","2") = "2"
    & squares("2","1","1","1","1","2","1","3") = "3"
    & squares("2","1","1","1","1","2","2","1") = "1"
    & squares("2","1","1","1","1","2","2","2") = "3"
    & squares("2","1","1","1","1","2","2","3") = "3"
    & squares("2","1","1","1","1","2","3","1") = "3"
    & squares("2","1","1","1","1","2","3","2") = "3"
    & squares("2","1","1","1","1","2","3","3") = "3"
    & squares("2","1","1","1","1","3","1","1") = "3"
    & squares("2","1","1","1","1","3","1","2") = "3"
    & squares("2","1","1","1","1","3","1","3") = "3"
    & squares("2","1","1","1","1","3","2","1") = "3"
    & squares("2","1","1","1","1","3","2","2") = "3"
    & squares("2","1","1","1","1","3","2","3") = "3"
    & squares("2","1","1","1","1","3","3","1") = "3"
    & squares("2","1","1","1","1","3","3","2") = "3"
    & squares("2","1","1","1","1","3","3","3") = "3"
    & squares("2","1","1","1","2","1","1","1") = "3"
    & squares("2","1","1","1","2","1","1","2") = "1"
    & squares("2","1","1","1","2","1","1","3") = "3"
    & squares("2","1","1","1","2","1","2","1") = "3"
    & squares("2","1","1","1","2","1","2","2") = "3"
    & squares("2","1","1","1","2","1","2","3") = "3"
    & squares("2","1","1","1","2","1","3","1") = "3"
    & squares("2","1","1","1","2","1","3","2") = "3"
    & squares("2","1","1","1","2","1","3","3") = "3"
    & squares("2","1","1","1","2","2","1","1") = "1"
    & squares("2","1","1","1","2","2","1","2") = "3"
    & squares("2","1","1","1","2","2","1","3") = "3"
    & squares("2","1","1","1","2","2","2","1") = "3"
    & squares("2","1","1","1","2","2","2","2") = "1"
    & squares("2","1","1","1","2","2","2","3") = "3"
    & squares("2","1","1","1","2","2","3","1") = "3"
    & squares("2","1","1","1","2","2","3","2") = "3"
    & squares("2","1","1","1","2","2","3","3") = "3"
    & squares("2","1","1","1","2","3","1","1") = "3"
    & squares("2","1","1","1","2","3","1","2") = "3"
    & squares("2","1","1","1","2","3","1","3") = "3"
    & squares("2","1","1","1","2","3","2","1") = "3"
    & squares("2","1","1","1","2","3","2","2") = "3"
    & squares("2","1","1","1","2","3","2","3") = "3"
    & squares("2","1","1","1","2","3","3","1") = "3"
    & squares("2","1","1","1","2","3","3","2") = "3"
    & squares("2","1","1","1","2","3","3","3") = "3"
    & squares("2","1","1","1","3","1","1","1") = "3"
    & squares("2","1","1","1","3","1","1","2") = "3"
    & squares("2","1","1","1","3","1","1","3") = "3"
    & squares("2","1","1","1","3","1","2","1") = "3"
    & squares("2","1","1","1","3","1","2","2") = "3"
    & squares("2","1","1","1","3","1","2","3") = "3"
    & squares("2","1","1","1","3","1","3","1") = "3"
    & squares("2","1","1","1","3","1","3","2") = "3"
    & squares("2","1","1","1","3","1","3","3") = "3"
    & squares("2","1","1","1","3","2","1","1") = "3"
    & squares("2","1","1","1","3","2","1","2") = "3"
    & squares("2","1","1","1","3","2","1","3") = "3"
    & squares("2","1","1","1","3","2","2","1") = "3"
    & squares("2","1","1","1","3","2","2","2") = "3"
    & squares("2","1","1","1","3","2","2","3") = "3"
    & squares("2","1","1","1","3","2","3","1") = "3"
    & squares("2","1","1","1","3","2","3","2") = "3"
    & squares("2","1","1","1","3","2","3","3") = "3"
    & squares("2","1","1","1","3","3","1","1") = "3"
    & squares("2","1","1","1","3","3","1","2") = "3"
    & squares("2","1","1","1","3","3","1","3") = "3"
    & squares("2","1","1","1","3","3","2","1") = "3"
    & squares("2","1","1","1","3","3","2","2") = "3"
    & squares("2","1","1","1","3","3","2","3") = "3"
    & squares("2","1","1","1","3","3","3","1") = "3"
    & squares("2","1","1","1","3","3","3","2") = "3"
    & squares("2","1","1","1","3","3","3","3") = "3"
    & squares("2","1","1","2","1","1","1","1") = "3"
    & squares("2","1","1","2","1","1","1","2") = "2"
    & squares("2","1","1","2","1","1","1","3") = "3"
    & squares("2","1","1","2","1","1","2","1") = "1"
    & squares("2","1","1","2","1","1","2","2") = "3"
    & squares("2","1","1","2","1","1","2","3") = "3"
    & squares("2","1","1","2","1","1","3","1") = "3"
    & squares("2","1","1","2","1","1","3","2") = "3"
    & squares("2","1","1","2","1","1","3","3") = "3"
    & squares("2","1","1","2","1","2","1","1") = "2"
    & squares("2","1","1","2","1","2","1","2") = "3"
    & squares("2","1","1","2","1","2","1","3") = "3"
    & squares("2","1","1","2","1","2","2","1") = "3"
    & squares("2","1","1","2","1","2","2","2") = "2"
    & squares("2","1","1","2","1","2","2","3") = "3"
    & squares("2","1","1","2","1","2","3","1") = "3"
    & squares("2","1","1","2","1","2","3","2") = "3"
    & squares("2","1","1","2","1","2","3","3") = "3"
    & squares("2","1","1","2","1","3","1","1") = "3"
    & squares("2","1","1","2","1","3","1","2") = "3"
    & squares("2","1","1","2","1","3","1","3") = "3"
    & squares("2","1","1","2","1","3","2","1") = "3"
    & squares("2","1","1","2","1","3","2","2") = "3"
    & squares("2","1","1","2","1","3","2","3") = "3"
    & squares("2","1","1","2","1","3","3","1") = "3"
    & squares("2","1","1","2","1","3","3","2") = "3"
    & squares("2","1","1","2","1","3","3","3") = "3"
    & squares("2","1","1","2","2","1","1","1") = "1"
    & squares("2","1","1","2","2","1","1","2") = "3"
    & squares("2","1","1","2","2","1","1","3") = "3"
    & squares("2","1","1","2","2","1","2","1") = "3"
    & squares("2","1","1","2","2","1","2","2") = "1"
    & squares("2","1","1","2","2","1","2","3") = "3"
    & squares("2","1","1","2","2","1","3","1") = "3"
    & squares("2","1","1","2","2","1","3","2") = "3"
    & squares("2","1","1","2","2","1","3","3") = "3"
    & squares("2","1","1","2","2","2","1","1") = "3"
    & squares("2","1","1","2","2","2","1","2") = "2"
    & squares("2","1","1","2","2","2","1","3") = "3"
    & squares("2","1","1","2","2","2","2","1") = "1"
    & squares("2","1","1","2","2","2","2","2") = "3"
    & squares("2","1","1","2","2","2","2","3") = "3"
    & squares("2","1","1","2","2","2","3","1") = "3"
    & squares("2","1","1","2","2","2","3","2") = "3"
    & squares("2","1","1","2","2","2","3","3") = "3"
    & squares("2","1","1","2","2","3","1","1") = "3"
    & squares("2","1","1","2","2","3","1","2") = "3"
    & squares("2","1","1","2","2","3","1","3") = "3"
    & squares("2","1","1","2","2","3","2","1") = "3"
    & squares("2","1","1","2","2","3","2","2") = "3"
    & squares("2","1","1","2","2","3","2","3") = "3"
    & squares("2","1","1","2","2","3","3","1") = "3"
    & squares("2","1","1","2","2","3","3","2") = "3"
    & squares("2","1","1","2","2","3","3","3") = "3"
    & squares("2","1","1","2","3","1","1","1") = "3"
    & squares("2","1","1","2","3","1","1","2") = "3"
    & squares("2","1","1","2","3","1","1","3") = "3"
    & squares("2","1","1","2","3","1","2","1") = "3"
    & squares("2","1","1","2","3","1","2","2") = "3"
    & squares("2","1","1","2","3","1","2","3") = "3"
    & squares("2","1","1","2","3","1","3","1") = "3"
    & squares("2","1","1","2","3","1","3","2") = "3"
    & squares("2","1","1","2","3","1","3","3") = "3"
    & squares("2","1","1","2","3","2","1","1") = "3"
    & squares("2","1","1","2","3","2","1","2") = "3"
    & squares("2","1","1","2","3","2","1","3") = "3"
    & squares("2","1","1","2","3","2","2","1") = "3"
    & squares("2","1","1","2","3","2","2","2") = "3"
    & squares("2","1","1","2","3","2","2","3") = "3"
    & squares("2","1","1","2","3","2","3","1") = "3"
    & squares("2","1","1","2","3","2","3","2") = "3"
    & squares("2","1","1","2","3","2","3","3") = "3"
    & squares("2","1","1","2","3","3","1","1") = "3"
    & squares("2","1","1","2","3","3","1","2") = "3"
    & squares("2","1","1","2","3","3","1","3") = "3"
    & squares("2","1","1","2","3","3","2","1") = "3"
    & squares("2","1","1","2","3","3","2","2") = "3"
    & squares("2","1","1","2","3","3","2","3") = "3"
    & squares("2","1","1","2","3","3","3","1") = "3"
    & squares("2","1","1","2","3","3","3","2") = "3"
    & squares("2","1","1","2","3","3","3","3") = "3"
    & squares("2","1","1","3","1","1","1","1") = "3"
    & squares("2","1","1","3","1","1","1","2") = "3"
    & squares("2","1","1","3","1","1","1","3") = "3"
    & squares("2","1","1","3","1","1","2","1") = "3"
    & squares("2","1","1","3","1","1","2","2") = "3"
    & squares("2","1","1","3","1","1","2","3") = "3"
    & squares("2","1","1","3","1","1","3","1") = "3"
    & squares("2","1","1","3","1","1","3","2") = "3"
    & squares("2","1","1","3","1","1","3","3") = "3"
    & squares("2","1","1","3","1","2","1","1") = "3"
    & squares("2","1","1","3","1","2","1","2") = "3"
    & squares("2","1","1","3","1","2","1","3") = "3"
    & squares("2","1","1","3","1","2","2","1") = "3"
    & squares("2","1","1","3","1","2","2","2") = "3"
    & squares("2","1","1","3","1","2","2","3") = "3"
    & squares("2","1","1","3","1","2","3","1") = "3"
    & squares("2","1","1","3","1","2","3","2") = "3"
    & squares("2","1","1","3","1","2","3","3") = "3"
    & squares("2","1","1","3","1","3","1","1") = "3"
    & squares("2","1","1","3","1","3","1","2") = "3"
    & squares("2","1","1","3","1","3","1","3") = "3"
    & squares("2","1","1","3","1","3","2","1") = "3"
    & squares("2","1","1","3","1","3","2","2") = "3"
    & squares("2","1","1","3","1","3","2","3") = "3"
    & squares("2","1","1","3","1","3","3","1") = "3"
    & squares("2","1","1","3","1","3","3","2") = "3"
    & squares("2","1","1","3","1","3","3","3") = "3"
    & squares("2","1","1","3","2","1","1","1") = "3"
    & squares("2","1","1","3","2","1","1","2") = "3"
    & squares("2","1","1","3","2","1","1","3") = "3"
    & squares("2","1","1","3","2","1","2","1") = "3"
    & squares("2","1","1","3","2","1","2","2") = "3"
    & squares("2","1","1","3","2","1","2","3") = "3"
    & squares("2","1","1","3","2","1","3","1") = "3"
    & squares("2","1","1","3","2","1","3","2") = "3"
    & squares("2","1","1","3","2","1","3","3") = "3"
    & squares("2","1","1","3","2","2","1","1") = "3"
    & squares("2","1","1","3","2","2","1","2") = "3"
    & squares("2","1","1","3","2","2","1","3") = "3"
    & squares("2","1","1","3","2","2","2","1") = "3"
    & squares("2","1","1","3","2","2","2","2") = "3"
    & squares("2","1","1","3","2","2","2","3") = "3"
    & squares("2","1","1","3","2","2","3","1") = "3"
    & squares("2","1","1","3","2","2","3","2") = "3"
    & squares("2","1","1","3","2","2","3","3") = "3"
    & squares("2","1","1","3","2","3","1","1") = "3"
    & squares("2","1","1","3","2","3","1","2") = "3"
    & squares("2","1","1","3","2","3","1","3") = "3"
    & squares("2","1","1","3","2","3","2","1") = "3"
    & squares("2","1","1","3","2","3","2","2") = "3"
    & squares("2","1","1","3","2","3","2","3") = "3"
    & squares("2","1","1","3","2","3","3","1") = "3"
    & squares("2","1","1","3","2","3","3","2") = "3"
    & squares("2","1","1","3","2","3","3","3") = "3"
    & squares("2","1","1","3","3","1","1","1") = "3"
    & squares("2","1","1","3","3","1","1","2") = "3"
    & squares("2","1","1","3","3","1","1","3") = "3"
    & squares("2","1","1","3","3","1","2","1") = "3"
    & squares("2","1","1","3","3","1","2","2") = "3"
    & squares("2","1","1","3","3","1","2","3") = "3"
    & squares("2","1","1","3","3","1","3","1") = "3"
    & squares("2","1","1","3","3","1","3","2") = "3"
    & squares("2","1","1","3","3","1","3","3") = "3"
    & squares("2","1","1","3","3","2","1","1") = "3"
    & squares("2","1","1","3","3","2","1","2") = "3"
    & squares("2","1","1","3","3","2","1","3") = "3"
    & squares("2","1","1","3","3","2","2","1") = "3"
    & squares("2","1","1","3","3","2","2","2") = "3"
    & squares("2","1","1","3","3","2","2","3") = "3"
    & squares("2","1","1","3","3","2","3","1") = "3"
    & squares("2","1","1","3","3","2","3","2") = "3"
    & squares("2","1","1","3","3","2","3","3") = "3"
    & squares("2","1","1","3","3","3","1","1") = "3"
    & squares("2","1","1","3","3","3","1","2") = "3"
    & squares("2","1","1","3","3","3","1","3") = "3"
    & squares("2","1","1","3","3","3","2","1") = "3"
    & squares("2","1","1","3","3","3","2","2") = "3"
    & squares("2","1","1","3","3","3","2","3") = "3"
    & squares("2","1","1","3","3","3","3","1") = "3"
    & squares("2","1","1","3","3","3","3","2") = "3"
    & squares("2","1","1","3","3","3","3","3") = "3"
    & squares("2","1","2","1","1","1","1","1") = "3"
    & squares("2","1","2","1","1","1","1","2") = "1"
    & squares("2","1","2","1","1","1","1","3") = "3"
    & squares("2","1","2","1","1","1","2","1") = "3"
    & squares("2","1","2","1","1","1","2","2") = "3"
    & squares("2","1","2","1","1","1","2","3") = "3"
    & squares("2","1","2","1","1","1","3","1") = "3"
    & squares("2","1","2","1","1","1","3","2") = "3"
    & squares("2","1","2","1","1","1","3","3") = "3"
    & squares("2","1","2","1","1","2","1","1") = "1"
    & squares("2","1","2","1","1","2","1","2") = "3"
    & squares("2","1","2","1","1","2","1","3") = "3"
    & squares("2","1","2","1","1","2","2","1") = "3"
    & squares("2","1","2","1","1","2","2","2") = "1"
    & squares("2","1","2","1","1","2","2","3") = "3"
    & squares("2","1","2","1","1","2","3","1") = "3"
    & squares("2","1","2","1","1","2","3","2") = "3"
    & squares("2","1","2","1","1","2","3","3") = "3"
    & squares("2","1","2","1","1","3","1","1") = "3"
    & squares("2","1","2","1","1","3","1","2") = "3"
    & squares("2","1","2","1","1","3","1","3") = "3"
    & squares("2","1","2","1","1","3","2","1") = "3"
    & squares("2","1","2","1","1","3","2","2") = "3"
    & squares("2","1","2","1","1","3","2","3") = "3"
    & squares("2","1","2","1","1","3","3","1") = "3"
    & squares("2","1","2","1","1","3","3","2") = "3"
    & squares("2","1","2","1","1","3","3","3") = "3"
    & squares("2","1","2","1","2","1","1","1") = "3"
    & squares("2","1","2","1","2","1","1","2") = "3"
    & squares("2","1","2","1","2","1","1","3") = "3"
    & squares("2","1","2","1","2","1","2","1") = "3"
    & squares("2","1","2","1","2","1","2","2") = "3"
    & squares("2","1","2","1","2","1","2","3") = "3"
    & squares("2","1","2","1","2","1","3","1") = "3"
    & squares("2","1","2","1","2","1","3","2") = "3"
    & squares("2","1","2","1","2","1","3","3") = "3"
    & squares("2","1","2","1","2","2","1","1") = "3"
    & squares("2","1","2","1","2","2","1","2") = "1"
    & squares("2","1","2","1","2","2","1","3") = "3"
    & squares("2","1","2","1","2","2","2","1") = "3"
    & squares("2","1","2","1","2","2","2","2") = "3"
    & squares("2","1","2","1","2","2","2","3") = "3"
    & squares("2","1","2","1","2","2","3","1") = "3"
    & squares("2","1","2","1","2","2","3","2") = "3"
    & squares("2","1","2","1","2","2","3","3") = "3"
    & squares("2","1","2","1","2","3","1","1") = "3"
    & squares("2","1","2","1","2","3","1","2") = "3"
    & squares("2","1","2","1","2","3","1","3") = "3"
    & squares("2","1","2","1","2","3","2","1") = "3"
    & squares("2","1","2","1","2","3","2","2") = "3"
    & squares("2","1","2","1","2","3","2","3") = "3"
    & squares("2","1","2","1","2","3","3","1") = "3"
    & squares("2","1","2","1","2","3","3","2") = "3"
    & squares("2","1","2","1","2","3","3","3") = "3"
    & squares("2","1","2","1","3","1","1","1") = "3"
    & squares("2","1","2","1","3","1","1","2") = "3"
    & squares("2","1","2","1","3","1","1","3") = "3"
    & squares("2","1","2","1","3","1","2","1") = "3"
    & squares("2","1","2","1","3","1","2","2") = "3"
    & squares("2","1","2","1","3","1","2","3") = "3"
    & squares("2","1","2","1","3","1","3","1") = "3"
    & squares("2","1","2","1","3","1","3","2") = "3"
    & squares("2","1","2","1","3","1","3","3") = "3"
    & squares("2","1","2","1","3","2","1","1") = "3"
    & squares("2","1","2","1","3","2","1","2") = "3"
    & squares("2","1","2","1","3","2","1","3") = "3"
    & squares("2","1","2","1","3","2","2","1") = "3"
    & squares("2","1","2","1","3","2","2","2") = "3"
    & squares("2","1","2","1","3","2","2","3") = "3"
    & squares("2","1","2","1","3","2","3","1") = "3"
    & squares("2","1","2","1","3","2","3","2") = "3"
    & squares("2","1","2","1","3","2","3","3") = "3"
    & squares("2","1","2","1","3","3","1","1") = "3"
    & squares("2","1","2","1","3","3","1","2") = "3"
    & squares("2","1","2","1","3","3","1","3") = "3"
    & squares("2","1","2","1","3","3","2","1") = "3"
    & squares("2","1","2","1","3","3","2","2") = "3"
    & squares("2","1","2","1","3","3","2","3") = "3"
    & squares("2","1","2","1","3","3","3","1") = "3"
    & squares("2","1","2","1","3","3","3","2") = "3"
    & squares("2","1","2","1","3","3","3","3") = "3"
    & squares("2","1","2","2","1","1","1","1") = "1"
    & squares("2","1","2","2","1","1","1","2") = "3"
    & squares("2","1","2","2","1","1","1","3") = "3"
    & squares("2","1","2","2","1","1","2","1") = "3"
    & squares("2","1","2","2","1","1","2","2") = "1"
    & squares("2","1","2","2","1","1","2","3") = "3"
    & squares("2","1","2","2","1","1","3","1") = "3"
    & squares("2","1","2","2","1","1","3","2") = "3"
    & squares("2","1","2","2","1","1","3","3") = "3"
    & squares("2","1","2","2","1","2","1","1") = "3"
    & squares("2","1","2","2","1","2","1","2") = "2"
    & squares("2","1","2","2","1","2","1","3") = "3"
    & squares("2","1","2","2","1","2","2","1") = "1"
    & squares("2","1","2","2","1","2","2","2") = "3"
    & squares("2","1","2","2","1","2","2","3") = "3"
    & squares("2","1","2","2","1","2","3","1") = "3"
    & squares("2","1","2","2","1","2","3","2") = "3"
    & squares("2","1","2","2","1","2","3","3") = "3"
    & squares("2","1","2","2","1","3","1","1") = "3"
    & squares("2","1","2","2","1","3","1","2") = "3"
    & squares("2","1","2","2","1","3","1","3") = "3"
    & squares("2","1","2","2","1","3","2","1") = "3"
    & squares("2","1","2","2","1","3","2","2") = "3"
    & squares("2","1","2","2","1","3","2","3") = "3"
    & squares("2","1","2","2","1","3","3","1") = "3"
    & squares("2","1","2","2","1","3","3","2") = "3"
    & squares("2","1","2","2","1","3","3","3") = "3"
    & squares("2","1","2","2","2","1","1","1") = "3"
    & squares("2","1","2","2","2","1","1","2") = "1"
    & squares("2","1","2","2","2","1","1","3") = "3"
    & squares("2","1","2","2","2","1","2","1") = "3"
    & squares("2","1","2","2","2","1","2","2") = "3"
    & squares("2","1","2","2","2","1","2","3") = "3"
    & squares("2","1","2","2","2","1","3","1") = "3"
    & squares("2","1","2","2","2","1","3","2") = "3"
    & squares("2","1","2","2","2","1","3","3") = "3"
    & squares("2","1","2","2","2","2","1","1") = "1"
    & squares("2","1","2","2","2","2","1","2") = "3"
    & squares("2","1","2","2","2","2","1","3") = "3"
    & squares("2","1","2","2","2","2","2","1") = "3"
    & squares("2","1","2","2","2","2","2","2") = "1"
    & squares("2","1","2","2","2","2","2","3") = "3"
    & squares("2","1","2","2","2","2","3","1") = "3"
    & squares("2","1","2","2","2","2","3","2") = "3"
    & squares("2","1","2","2","2","2","3","3") = "3"
    & squares("2","1","2","2","2","3","1","1") = "3"
    & squares("2","1","2","2","2","3","1","2") = "3"
    & squares("2","1","2","2","2","3","1","3") = "3"
    & squares("2","1","2","2","2","3","2","1") = "3"
    & squares("2","1","2","2","2","3","2","2") = "3"
    & squares("2","1","2","2","2","3","2","3") = "3"
    & squares("2","1","2","2","2","3","3","1") = "3"
    & squares("2","1","2","2","2","3","3","2") = "3"
    & squares("2","1","2","2","2","3","3","3") = "3"
    & squares("2","1","2","2","3","1","1","1") = "3"
    & squares("2","1","2","2","3","1","1","2") = "3"
    & squares("2","1","2","2","3","1","1","3") = "3"
    & squares("2","1","2","2","3","1","2","1") = "3"
    & squares("2","1","2","2","3","1","2","2") = "3"
    & squares("2","1","2","2","3","1","2","3") = "3"
    & squares("2","1","2","2","3","1","3","1") = "3"
    & squares("2","1","2","2","3","1","3","2") = "3"
    & squares("2","1","2","2","3","1","3","3") = "3"
    & squares("2","1","2","2","3","2","1","1") = "3"
    & squares("2","1","2","2","3","2","1","2") = "3"
    & squares("2","1","2","2","3","2","1","3") = "3"
    & squares("2","1","2","2","3","2","2","1") = "3"
    & squares("2","1","2","2","3","2","2","2") = "3"
    & squares("2","1","2","2","3","2","2","3") = "3"
    & squares("2","1","2","2","3","2","3","1") = "3"
    & squares("2","1","2","2","3","2","3","2") = "3"
    & squares("2","1","2","2","3","2","3","3") = "3"
    & squares("2","1","2","2","3","3","1","1") = "3"
    & squares("2","1","2","2","3","3","1","2") = "3"
    & squares("2","1","2","2","3","3","1","3") = "3"
    & squares("2","1","2","2","3","3","2","1") = "3"
    & squares("2","1","2","2","3","3","2","2") = "3"
    & squares("2","1","2","2","3","3","2","3") = "3"
    & squares("2","1","2","2","3","3","3","1") = "3"
    & squares("2","1","2","2","3","3","3","2") = "3"
    & squares("2","1","2","2","3","3","3","3") = "3"
    & squares("2","1","2","3","1","1","1","1") = "3"
    & squares("2","1","2","3","1","1","1","2") = "3"
    & squares("2","1","2","3","1","1","1","3") = "3"
    & squares("2","1","2","3","1","1","2","1") = "3"
    & squares("2","1","2","3","1","1","2","2") = "3"
    & squares("2","1","2","3","1","1","2","3") = "3"
    & squares("2","1","2","3","1","1","3","1") = "3"
    & squares("2","1","2","3","1","1","3","2") = "3"
    & squares("2","1","2","3","1","1","3","3") = "3"
    & squares("2","1","2","3","1","2","1","1") = "3"
    & squares("2","1","2","3","1","2","1","2") = "3"
    & squares("2","1","2","3","1","2","1","3") = "3"
    & squares("2","1","2","3","1","2","2","1") = "3"
    & squares("2","1","2","3","1","2","2","2") = "3"
    & squares("2","1","2","3","1","2","2","3") = "3"
    & squares("2","1","2","3","1","2","3","1") = "3"
    & squares("2","1","2","3","1","2","3","2") = "3"
    & squares("2","1","2","3","1","2","3","3") = "3"
    & squares("2","1","2","3","1","3","1","1") = "3"
    & squares("2","1","2","3","1","3","1","2") = "3"
    & squares("2","1","2","3","1","3","1","3") = "3"
    & squares("2","1","2","3","1","3","2","1") = "3"
    & squares("2","1","2","3","1","3","2","2") = "3"
    & squares("2","1","2","3","1","3","2","3") = "3"
    & squares("2","1","2","3","1","3","3","1") = "3"
    & squares("2","1","2","3","1","3","3","2") = "3"
    & squares("2","1","2","3","1","3","3","3") = "3"
    & squares("2","1","2","3","2","1","1","1") = "3"
    & squares("2","1","2","3","2","1","1","2") = "3"
    & squares("2","1","2","3","2","1","1","3") = "3"
    & squares("2","1","2","3","2","1","2","1") = "3"
    & squares("2","1","2","3","2","1","2","2") = "3"
    & squares("2","1","2","3","2","1","2","3") = "3"
    & squares("2","1","2","3","2","1","3","1") = "3"
    & squares("2","1","2","3","2","1","3","2") = "3"
    & squares("2","1","2","3","2","1","3","3") = "3"
    & squares("2","1","2","3","2","2","1","1") = "3"
    & squares("2","1","2","3","2","2","1","2") = "3"
    & squares("2","1","2","3","2","2","1","3") = "3"
    & squares("2","1","2","3","2","2","2","1") = "3"
    & squares("2","1","2","3","2","2","2","2") = "3"
    & squares("2","1","2","3","2","2","2","3") = "3"
    & squares("2","1","2","3","2","2","3","1") = "3"
    & squares("2","1","2","3","2","2","3","2") = "3"
    & squares("2","1","2","3","2","2","3","3") = "3"
    & squares("2","1","2","3","2","3","1","1") = "3"
    & squares("2","1","2","3","2","3","1","2") = "3"
    & squares("2","1","2","3","2","3","1","3") = "3"
    & squares("2","1","2","3","2","3","2","1") = "3"
    & squares("2","1","2","3","2","3","2","2") = "3"
    & squares("2","1","2","3","2","3","2","3") = "3"
    & squares("2","1","2","3","2","3","3","1") = "3"
    & squares("2","1","2","3","2","3","3","2") = "3"
    & squares("2","1","2","3","2","3","3","3") = "3"
    & squares("2","1","2","3","3","1","1","1") = "3"
    & squares("2","1","2","3","3","1","1","2") = "3"
    & squares("2","1","2","3","3","1","1","3") = "3"
    & squares("2","1","2","3","3","1","2","1") = "3"
    & squares("2","1","2","3","3","1","2","2") = "3"
    & squares("2","1","2","3","3","1","2","3") = "3"
    & squares("2","1","2","3","3","1","3","1") = "3"
    & squares("2","1","2","3","3","1","3","2") = "3"
    & squares("2","1","2","3","3","1","3","3") = "3"
    & squares("2","1","2","3","3","2","1","1") = "3"
    & squares("2","1","2","3","3","2","1","2") = "3"
    & squares("2","1","2","3","3","2","1","3") = "3"
    & squares("2","1","2","3","3","2","2","1") = "3"
    & squares("2","1","2","3","3","2","2","2") = "3"
    & squares("2","1","2","3","3","2","2","3") = "3"
    & squares("2","1","2","3","3","2","3","1") = "3"
    & squares("2","1","2","3","3","2","3","2") = "3"
    & squares("2","1","2","3","3","2","3","3") = "3"
    & squares("2","1","2","3","3","3","1","1") = "3"
    & squares("2","1","2","3","3","3","1","2") = "3"
    & squares("2","1","2","3","3","3","1","3") = "3"
    & squares("2","1","2","3","3","3","2","1") = "3"
    & squares("2","1","2","3","3","3","2","2") = "3"
    & squares("2","1","2","3","3","3","2","3") = "3"
    & squares("2","1","2","3","3","3","3","1") = "3"
    & squares("2","1","2","3","3","3","3","2") = "3"
    & squares("2","1","2","3","3","3","3","3") = "3"
    & squares("2","1","3","1","1","1","1","1") = "3"
    & squares("2","1","3","1","1","1","1","2") = "3"
    & squares("2","1","3","1","1","1","1","3") = "3"
    & squares("2","1","3","1","1","1","2","1") = "3"
    & squares("2","1","3","1","1","1","2","2") = "3"
    & squares("2","1","3","1","1","1","2","3") = "3"
    & squares("2","1","3","1","1","1","3","1") = "3"
    & squares("2","1","3","1","1","1","3","2") = "3"
    & squares("2","1","3","1","1","1","3","3") = "3"
    & squares("2","1","3","1","1","2","1","1") = "3"
    & squares("2","1","3","1","1","2","1","2") = "3"
    & squares("2","1","3","1","1","2","1","3") = "3"
    & squares("2","1","3","1","1","2","2","1") = "3"
    & squares("2","1","3","1","1","2","2","2") = "3"
    & squares("2","1","3","1","1","2","2","3") = "3"
    & squares("2","1","3","1","1","2","3","1") = "3"
    & squares("2","1","3","1","1","2","3","2") = "3"
    & squares("2","1","3","1","1","2","3","3") = "3"
    & squares("2","1","3","1","1","3","1","1") = "3"
    & squares("2","1","3","1","1","3","1","2") = "3"
    & squares("2","1","3","1","1","3","1","3") = "3"
    & squares("2","1","3","1","1","3","2","1") = "3"
    & squares("2","1","3","1","1","3","2","2") = "3"
    & squares("2","1","3","1","1","3","2","3") = "3"
    & squares("2","1","3","1","1","3","3","1") = "3"
    & squares("2","1","3","1","1","3","3","2") = "3"
    & squares("2","1","3","1","1","3","3","3") = "3"
    & squares("2","1","3","1","2","1","1","1") = "3"
    & squares("2","1","3","1","2","1","1","2") = "3"
    & squares("2","1","3","1","2","1","1","3") = "3"
    & squares("2","1","3","1","2","1","2","1") = "3"
    & squares("2","1","3","1","2","1","2","2") = "3"
    & squares("2","1","3","1","2","1","2","3") = "3"
    & squares("2","1","3","1","2","1","3","1") = "3"
    & squares("2","1","3","1","2","1","3","2") = "3"
    & squares("2","1","3","1","2","1","3","3") = "3"
    & squares("2","1","3","1","2","2","1","1") = "3"
    & squares("2","1","3","1","2","2","1","2") = "3"
    & squares("2","1","3","1","2","2","1","3") = "3"
    & squares("2","1","3","1","2","2","2","1") = "3"
    & squares("2","1","3","1","2","2","2","2") = "3"
    & squares("2","1","3","1","2","2","2","3") = "3"
    & squares("2","1","3","1","2","2","3","1") = "3"
    & squares("2","1","3","1","2","2","3","2") = "3"
    & squares("2","1","3","1","2","2","3","3") = "3"
    & squares("2","1","3","1","2","3","1","1") = "3"
    & squares("2","1","3","1","2","3","1","2") = "3"
    & squares("2","1","3","1","2","3","1","3") = "3"
    & squares("2","1","3","1","2","3","2","1") = "3"
    & squares("2","1","3","1","2","3","2","2") = "3"
    & squares("2","1","3","1","2","3","2","3") = "3"
    & squares("2","1","3","1","2","3","3","1") = "3"
    & squares("2","1","3","1","2","3","3","2") = "3"
    & squares("2","1","3","1","2","3","3","3") = "3"
    & squares("2","1","3","1","3","1","1","1") = "3"
    & squares("2","1","3","1","3","1","1","2") = "3"
    & squares("2","1","3","1","3","1","1","3") = "3"
    & squares("2","1","3","1","3","1","2","1") = "3"
    & squares("2","1","3","1","3","1","2","2") = "3"
    & squares("2","1","3","1","3","1","2","3") = "3"
    & squares("2","1","3","1","3","1","3","1") = "3"
    & squares("2","1","3","1","3","1","3","2") = "3"
    & squares("2","1","3","1","3","1","3","3") = "3"
    & squares("2","1","3","1","3","2","1","1") = "3"
    & squares("2","1","3","1","3","2","1","2") = "3"
    & squares("2","1","3","1","3","2","1","3") = "3"
    & squares("2","1","3","1","3","2","2","1") = "3"
    & squares("2","1","3","1","3","2","2","2") = "3"
    & squares("2","1","3","1","3","2","2","3") = "3"
    & squares("2","1","3","1","3","2","3","1") = "3"
    & squares("2","1","3","1","3","2","3","2") = "3"
    & squares("2","1","3","1","3","2","3","3") = "3"
    & squares("2","1","3","1","3","3","1","1") = "3"
    & squares("2","1","3","1","3","3","1","2") = "3"
    & squares("2","1","3","1","3","3","1","3") = "3"
    & squares("2","1","3","1","3","3","2","1") = "3"
    & squares("2","1","3","1","3","3","2","2") = "3"
    & squares("2","1","3","1","3","3","2","3") = "3"
    & squares("2","1","3","1","3","3","3","1") = "3"
    & squares("2","1","3","1","3","3","3","2") = "3"
    & squares("2","1","3","1","3","3","3","3") = "3"
    & squares("2","1","3","2","1","1","1","1") = "3"
    & squares("2","1","3","2","1","1","1","2") = "3"
    & squares("2","1","3","2","1","1","1","3") = "3"
    & squares("2","1","3","2","1","1","2","1") = "3"
    & squares("2","1","3","2","1","1","2","2") = "3"
    & squares("2","1","3","2","1","1","2","3") = "3"
    & squares("2","1","3","2","1","1","3","1") = "3"
    & squares("2","1","3","2","1","1","3","2") = "3"
    & squares("2","1","3","2","1","1","3","3") = "3"
    & squares("2","1","3","2","1","2","1","1") = "3"
    & squares("2","1","3","2","1","2","1","2") = "3"
    & squares("2","1","3","2","1","2","1","3") = "3"
    & squares("2","1","3","2","1","2","2","1") = "3"
    & squares("2","1","3","2","1","2","2","2") = "3"
    & squares("2","1","3","2","1","2","2","3") = "3"
    & squares("2","1","3","2","1","2","3","1") = "3"
    & squares("2","1","3","2","1","2","3","2") = "3"
    & squares("2","1","3","2","1","2","3","3") = "3"
    & squares("2","1","3","2","1","3","1","1") = "3"
    & squares("2","1","3","2","1","3","1","2") = "3"
    & squares("2","1","3","2","1","3","1","3") = "3"
    & squares("2","1","3","2","1","3","2","1") = "3"
    & squares("2","1","3","2","1","3","2","2") = "3"
    & squares("2","1","3","2","1","3","2","3") = "3"
    & squares("2","1","3","2","1","3","3","1") = "3"
    & squares("2","1","3","2","1","3","3","2") = "3"
    & squares("2","1","3","2","1","3","3","3") = "3"
    & squares("2","1","3","2","2","1","1","1") = "3"
    & squares("2","1","3","2","2","1","1","2") = "3"
    & squares("2","1","3","2","2","1","1","3") = "3"
    & squares("2","1","3","2","2","1","2","1") = "3"
    & squares("2","1","3","2","2","1","2","2") = "3"
    & squares("2","1","3","2","2","1","2","3") = "3"
    & squares("2","1","3","2","2","1","3","1") = "3"
    & squares("2","1","3","2","2","1","3","2") = "3"
    & squares("2","1","3","2","2","1","3","3") = "3"
    & squares("2","1","3","2","2","2","1","1") = "3"
    & squares("2","1","3","2","2","2","1","2") = "3"
    & squares("2","1","3","2","2","2","1","3") = "3"
    & squares("2","1","3","2","2","2","2","1") = "3"
    & squares("2","1","3","2","2","2","2","2") = "3"
    & squares("2","1","3","2","2","2","2","3") = "3"
    & squares("2","1","3","2","2","2","3","1") = "3"
    & squares("2","1","3","2","2","2","3","2") = "3"
    & squares("2","1","3","2","2","2","3","3") = "3"
    & squares("2","1","3","2","2","3","1","1") = "3"
    & squares("2","1","3","2","2","3","1","2") = "3"
    & squares("2","1","3","2","2","3","1","3") = "3"
    & squares("2","1","3","2","2","3","2","1") = "3"
    & squares("2","1","3","2","2","3","2","2") = "3"
    & squares("2","1","3","2","2","3","2","3") = "3"
    & squares("2","1","3","2","2","3","3","1") = "3"
    & squares("2","1","3","2","2","3","3","2") = "3"
    & squares("2","1","3","2","2","3","3","3") = "3"
    & squares("2","1","3","2","3","1","1","1") = "3"
    & squares("2","1","3","2","3","1","1","2") = "3"
    & squares("2","1","3","2","3","1","1","3") = "3"
    & squares("2","1","3","2","3","1","2","1") = "3"
    & squares("2","1","3","2","3","1","2","2") = "3"
    & squares("2","1","3","2","3","1","2","3") = "3"
    & squares("2","1","3","2","3","1","3","1") = "3"
    & squares("2","1","3","2","3","1","3","2") = "3"
    & squares("2","1","3","2","3","1","3","3") = "3"
    & squares("2","1","3","2","3","2","1","1") = "3"
    & squares("2","1","3","2","3","2","1","2") = "3"
    & squares("2","1","3","2","3","2","1","3") = "3"
    & squares("2","1","3","2","3","2","2","1") = "3"
    & squares("2","1","3","2","3","2","2","2") = "3"
    & squares("2","1","3","2","3","2","2","3") = "3"
    & squares("2","1","3","2","3","2","3","1") = "3"
    & squares("2","1","3","2","3","2","3","2") = "3"
    & squares("2","1","3","2","3","2","3","3") = "3"
    & squares("2","1","3","2","3","3","1","1") = "3"
    & squares("2","1","3","2","3","3","1","2") = "3"
    & squares("2","1","3","2","3","3","1","3") = "3"
    & squares("2","1","3","2","3","3","2","1") = "3"
    & squares("2","1","3","2","3","3","2","2") = "3"
    & squares("2","1","3","2","3","3","2","3") = "3"
    & squares("2","1","3","2","3","3","3","1") = "3"
    & squares("2","1","3","2","3","3","3","2") = "3"
    & squares("2","1","3","2","3","3","3","3") = "3"
    & squares("2","1","3","3","1","1","1","1") = "3"
    & squares("2","1","3","3","1","1","1","2") = "3"
    & squares("2","1","3","3","1","1","1","3") = "3"
    & squares("2","1","3","3","1","1","2","1") = "3"
    & squares("2","1","3","3","1","1","2","2") = "3"
    & squares("2","1","3","3","1","1","2","3") = "3"
    & squares("2","1","3","3","1","1","3","1") = "3"
    & squares("2","1","3","3","1","1","3","2") = "3"
    & squares("2","1","3","3","1","1","3","3") = "3"
    & squares("2","1","3","3","1","2","1","1") = "3"
    & squares("2","1","3","3","1","2","1","2") = "3"
    & squares("2","1","3","3","1","2","1","3") = "3"
    & squares("2","1","3","3","1","2","2","1") = "3"
    & squares("2","1","3","3","1","2","2","2") = "3"
    & squares("2","1","3","3","1","2","2","3") = "3"
    & squares("2","1","3","3","1","2","3","1") = "3"
    & squares("2","1","3","3","1","2","3","2") = "3"
    & squares("2","1","3","3","1","2","3","3") = "3"
    & squares("2","1","3","3","1","3","1","1") = "3"
    & squares("2","1","3","3","1","3","1","2") = "3"
    & squares("2","1","3","3","1","3","1","3") = "3"
    & squares("2","1","3","3","1","3","2","1") = "3"
    & squares("2","1","3","3","1","3","2","2") = "3"
    & squares("2","1","3","3","1","3","2","3") = "3"
    & squares("2","1","3","3","1","3","3","1") = "3"
    & squares("2","1","3","3","1","3","3","2") = "3"
    & squares("2","1","3","3","1","3","3","3") = "3"
    & squares("2","1","3","3","2","1","1","1") = "3"
    & squares("2","1","3","3","2","1","1","2") = "3"
    & squares("2","1","3","3","2","1","1","3") = "3"
    & squares("2","1","3","3","2","1","2","1") = "3"
    & squares("2","1","3","3","2","1","2","2") = "3"
    & squares("2","1","3","3","2","1","2","3") = "3"
    & squares("2","1","3","3","2","1","3","1") = "3"
    & squares("2","1","3","3","2","1","3","2") = "3"
    & squares("2","1","3","3","2","1","3","3") = "3"
    & squares("2","1","3","3","2","2","1","1") = "3"
    & squares("2","1","3","3","2","2","1","2") = "3"
    & squares("2","1","3","3","2","2","1","3") = "3"
    & squares("2","1","3","3","2","2","2","1") = "3"
    & squares("2","1","3","3","2","2","2","2") = "3"
    & squares("2","1","3","3","2","2","2","3") = "3"
    & squares("2","1","3","3","2","2","3","1") = "3"
    & squares("2","1","3","3","2","2","3","2") = "3"
    & squares("2","1","3","3","2","2","3","3") = "3"
    & squares("2","1","3","3","2","3","1","1") = "3"
    & squares("2","1","3","3","2","3","1","2") = "3"
    & squares("2","1","3","3","2","3","1","3") = "3"
    & squares("2","1","3","3","2","3","2","1") = "3"
    & squares("2","1","3","3","2","3","2","2") = "3"
    & squares("2","1","3","3","2","3","2","3") = "3"
    & squares("2","1","3","3","2","3","3","1") = "3"
    & squares("2","1","3","3","2","3","3","2") = "3"
    & squares("2","1","3","3","2","3","3","3") = "3"
    & squares("2","1","3","3","3","1","1","1") = "3"
    & squares("2","1","3","3","3","1","1","2") = "3"
    & squares("2","1","3","3","3","1","1","3") = "3"
    & squares("2","1","3","3","3","1","2","1") = "3"
    & squares("2","1","3","3","3","1","2","2") = "3"
    & squares("2","1","3","3","3","1","2","3") = "3"
    & squares("2","1","3","3","3","1","3","1") = "3"
    & squares("2","1","3","3","3","1","3","2") = "3"
    & squares("2","1","3","3","3","1","3","3") = "3"
    & squares("2","1","3","3","3","2","1","1") = "3"
    & squares("2","1","3","3","3","2","1","2") = "3"
    & squares("2","1","3","3","3","2","1","3") = "3"
    & squares("2","1","3","3","3","2","2","1") = "3"
    & squares("2","1","3","3","3","2","2","2") = "3"
    & squares("2","1","3","3","3","2","2","3") = "3"
    & squares("2","1","3","3","3","2","3","1") = "3"
    & squares("2","1","3","3","3","2","3","2") = "3"
    & squares("2","1","3","3","3","2","3","3") = "3"
    & squares("2","1","3","3","3","3","1","1") = "3"
    & squares("2","1","3","3","3","3","1","2") = "3"
    & squares("2","1","3","3","3","3","1","3") = "3"
    & squares("2","1","3","3","3","3","2","1") = "3"
    & squares("2","1","3","3","3","3","2","2") = "3"
    & squares("2","1","3","3","3","3","2","3") = "3"
    & squares("2","1","3","3","3","3","3","1") = "3"
    & squares("2","1","3","3","3","3","3","2") = "3"
    & squares("2","1","3","3","3","3","3","3") = "3"
    & squares("2","2","1","1","1","1","1","1") = "3"
    & squares("2","2","1","1","1","1","1","2") = "2"
    & squares("2","2","1","1","1","1","1","3") = "3"
    & squares("2","2","1","1","1","1","2","1") = "1"
    & squares("2","2","1","1","1","1","2","2") = "3"
    & squares("2","2","1","1","1","1","2","3") = "3"
    & squares("2","2","1","1","1","1","3","1") = "3"
    & squares("2","2","1","1","1","1","3","2") = "3"
    & squares("2","2","1","1","1","1","3","3") = "3"
    & squares("2","2","1","1","1","2","1","1") = "2"
    & squares("2","2","1","1","1","2","1","2") = "3"
    & squares("2","2","1","1","1","2","1","3") = "3"
    & squares("2","2","1","1","1","2","2","1") = "3"
    & squares("2","2","1","1","1","2","2","2") = "2"
    & squares("2","2","1","1","1","2","2","3") = "3"
    & squares("2","2","1","1","1","2","3","1") = "3"
    & squares("2","2","1","1","1","2","3","2") = "3"
    & squares("2","2","1","1","1","2","3","3") = "3"
    & squares("2","2","1","1","1","3","1","1") = "3"
    & squares("2","2","1","1","1","3","1","2") = "3"
    & squares("2","2","1","1","1","3","1","3") = "3"
    & squares("2","2","1","1","1","3","2","1") = "3"
    & squares("2","2","1","1","1","3","2","2") = "3"
    & squares("2","2","1","1","1","3","2","3") = "3"
    & squares("2","2","1","1","1","3","3","1") = "3"
    & squares("2","2","1","1","1","3","3","2") = "3"
    & squares("2","2","1","1","1","3","3","3") = "3"
    & squares("2","2","1","1","2","1","1","1") = "1"
    & squares("2","2","1","1","2","1","1","2") = "3"
    & squares("2","2","1","1","2","1","1","3") = "3"
    & squares("2","2","1","1","2","1","2","1") = "3"
    & squares("2","2","1","1","2","1","2","2") = "1"
    & squares("2","2","1","1","2","1","2","3") = "3"
    & squares("2","2","1","1","2","1","3","1") = "3"
    & squares("2","2","1","1","2","1","3","2") = "3"
    & squares("2","2","1","1","2","1","3","3") = "3"
    & squares("2","2","1","1","2","2","1","1") = "3"
    & squares("2","2","1","1","2","2","1","2") = "2"
    & squares("2","2","1","1","2","2","1","3") = "3"
    & squares("2","2","1","1","2","2","2","1") = "1"
    & squares("2","2","1","1","2","2","2","2") = "3"
    & squares("2","2","1","1","2","2","2","3") = "3"
    & squares("2","2","1","1","2","2","3","1") = "3"
    & squares("2","2","1","1","2","2","3","2") = "3"
    & squares("2","2","1","1","2","2","3","3") = "3"
    & squares("2","2","1","1","2","3","1","1") = "3"
    & squares("2","2","1","1","2","3","1","2") = "3"
    & squares("2","2","1","1","2","3","1","3") = "3"
    & squares("2","2","1","1","2","3","2","1") = "3"
    & squares("2","2","1","1","2","3","2","2") = "3"
    & squares("2","2","1","1","2","3","2","3") = "3"
    & squares("2","2","1","1","2","3","3","1") = "3"
    & squares("2","2","1","1","2","3","3","2") = "3"
    & squares("2","2","1","1","2","3","3","3") = "3"
    & squares("2","2","1","1","3","1","1","1") = "3"
    & squares("2","2","1","1","3","1","1","2") = "3"
    & squares("2","2","1","1","3","1","1","3") = "3"
    & squares("2","2","1","1","3","1","2","1") = "3"
    & squares("2","2","1","1","3","1","2","2") = "3"
    & squares("2","2","1","1","3","1","2","3") = "3"
    & squares("2","2","1","1","3","1","3","1") = "3"
    & squares("2","2","1","1","3","1","3","2") = "3"
    & squares("2","2","1","1","3","1","3","3") = "3"
    & squares("2","2","1","1","3","2","1","1") = "3"
    & squares("2","2","1","1","3","2","1","2") = "3"
    & squares("2","2","1","1","3","2","1","3") = "3"
    & squares("2","2","1","1","3","2","2","1") = "3"
    & squares("2","2","1","1","3","2","2","2") = "3"
    & squares("2","2","1","1","3","2","2","3") = "3"
    & squares("2","2","1","1","3","2","3","1") = "3"
    & squares("2","2","1","1","3","2","3","2") = "3"
    & squares("2","2","1","1","3","2","3","3") = "3"
    & squares("2","2","1","1","3","3","1","1") = "3"
    & squares("2","2","1","1","3","3","1","2") = "3"
    & squares("2","2","1","1","3","3","1","3") = "3"
    & squares("2","2","1","1","3","3","2","1") = "3"
    & squares("2","2","1","1","3","3","2","2") = "3"
    & squares("2","2","1","1","3","3","2","3") = "3"
    & squares("2","2","1","1","3","3","3","1") = "3"
    & squares("2","2","1","1","3","3","3","2") = "3"
    & squares("2","2","1","1","3","3","3","3") = "3"
    & squares("2","2","1","2","1","1","1","1") = "2"
    & squares("2","2","1","2","1","1","1","2") = "3"
    & squares("2","2","1","2","1","1","1","3") = "3"
    & squares("2","2","1","2","1","1","2","1") = "3"
    & squares("2","2","1","2","1","1","2","2") = "2"
    & squares("2","2","1","2","1","1","2","3") = "3"
    & squares("2","2","1","2","1","1","3","1") = "3"
    & squares("2","2","1","2","1","1","3","2") = "3"
    & squares("2","2","1","2","1","1","3","3") = "3"
    & squares("2","2","1","2","1","2","1","1") = "3"
    & squares("2","2","1","2","1","2","1","2") = "3"
    & squares("2","2","1","2","1","2","1","3") = "3"
    & squares("2","2","1","2","1","2","2","1") = "2"
    & squares("2","2","1","2","1","2","2","2") = "3"
    & squares("2","2","1","2","1","2","2","3") = "3"
    & squares("2","2","1","2","1","2","3","1") = "3"
    & squares("2","2","1","2","1","2","3","2") = "3"
    & squares("2","2","1","2","1","2","3","3") = "3"
    & squares("2","2","1","2","1","3","1","1") = "3"
    & squares("2","2","1","2","1","3","1","2") = "3"
    & squares("2","2","1","2","1","3","1","3") = "3"
    & squares("2","2","1","2","1","3","2","1") = "3"
    & squares("2","2","1","2","1","3","2","2") = "3"
    & squares("2","2","1","2","1","3","2","3") = "3"
    & squares("2","2","1","2","1","3","3","1") = "3"
    & squares("2","2","1","2","1","3","3","2") = "3"
    & squares("2","2","1","2","1","3","3","3") = "3"
    & squares("2","2","1","2","2","1","1","1") = "3"
    & squares("2","2","1","2","2","1","1","2") = "2"
    & squares("2","2","1","2","2","1","1","3") = "3"
    & squares("2","2","1","2","2","1","2","1") = "1"
    & squares("2","2","1","2","2","1","2","2") = "3"
    & squares("2","2","1","2","2","1","2","3") = "3"
    & squares("2","2","1","2","2","1","3","1") = "3"
    & squares("2","2","1","2","2","1","3","2") = "3"
    & squares("2","2","1","2","2","1","3","3") = "3"
    & squares("2","2","1","2","2","2","1","1") = "2"
    & squares("2","2","1","2","2","2","1","2") = "3"
    & squares("2","2","1","2","2","2","1","3") = "3"
    & squares("2","2","1","2","2","2","2","1") = "3"
    & squares("2","2","1","2","2","2","2","2") = "2"
    & squares("2","2","1","2","2","2","2","3") = "3"
    & squares("2","2","1","2","2","2","3","1") = "3"
    & squares("2","2","1","2","2","2","3","2") = "3"
    & squares("2","2","1","2","2","2","3","3") = "3"
    & squares("2","2","1","2","2","3","1","1") = "3"
    & squares("2","2","1","2","2","3","1","2") = "3"
    & squares("2","2","1","2","2","3","1","3") = "3"
    & squares("2","2","1","2","2","3","2","1") = "3"
    & squares("2","2","1","2","2","3","2","2") = "3"
    & squares("2","2","1","2","2","3","2","3") = "3"
    & squares("2","2","1","2","2","3","3","1") = "3"
    & squares("2","2","1","2","2","3","3","2") = "3"
    & squares("2","2","1","2","2","3","3","3") = "3"
    & squares("2","2","1","2","3","1","1","1") = "3"
    & squares("2","2","1","2","3","1","1","2") = "3"
    & squares("2","2","1","2","3","1","1","3") = "3"
    & squares("2","2","1","2","3","1","2","1") = "3"
    & squares("2","2","1","2","3","1","2","2") = "3"
    & squares("2","2","1","2","3","1","2","3") = "3"
    & squares("2","2","1","2","3","1","3","1") = "3"
    & squares("2","2","1","2","3","1","3","2") = "3"
    & squares("2","2","1","2","3","1","3","3") = "3"
    & squares("2","2","1","2","3","2","1","1") = "3"
    & squares("2","2","1","2","3","2","1","2") = "3"
    & squares("2","2","1","2","3","2","1","3") = "3"
    & squares("2","2","1","2","3","2","2","1") = "3"
    & squares("2","2","1","2","3","2","2","2") = "3"
    & squares("2","2","1","2","3","2","2","3") = "3"
    & squares("2","2","1","2","3","2","3","1") = "3"
    & squares("2","2","1","2","3","2","3","2") = "3"
    & squares("2","2","1","2","3","2","3","3") = "3"
    & squares("2","2","1","2","3","3","1","1") = "3"
    & squares("2","2","1","2","3","3","1","2") = "3"
    & squares("2","2","1","2","3","3","1","3") = "3"
    & squares("2","2","1","2","3","3","2","1") = "3"
    & squares("2","2","1","2","3","3","2","2") = "3"
    & squares("2","2","1","2","3","3","2","3") = "3"
    & squares("2","2","1","2","3","3","3","1") = "3"
    & squares("2","2","1","2","3","3","3","2") = "3"
    & squares("2","2","1","2","3","3","3","3") = "3"
    & squares("2","2","1","3","1","1","1","1") = "3"
    & squares("2","2","1","3","1","1","1","2") = "3"
    & squares("2","2","1","3","1","1","1","3") = "3"
    & squares("2","2","1","3","1","1","2","1") = "3"
    & squares("2","2","1","3","1","1","2","2") = "3"
    & squares("2","2","1","3","1","1","2","3") = "3"
    & squares("2","2","1","3","1","1","3","1") = "3"
    & squares("2","2","1","3","1","1","3","2") = "3"
    & squares("2","2","1","3","1","1","3","3") = "3"
    & squares("2","2","1","3","1","2","1","1") = "3"
    & squares("2","2","1","3","1","2","1","2") = "3"
    & squares("2","2","1","3","1","2","1","3") = "3"
    & squares("2","2","1","3","1","2","2","1") = "3"
    & squares("2","2","1","3","1","2","2","2") = "3"
    & squares("2","2","1","3","1","2","2","3") = "3"
    & squares("2","2","1","3","1","2","3","1") = "3"
    & squares("2","2","1","3","1","2","3","2") = "3"
    & squares("2","2","1","3","1","2","3","3") = "3"
    & squares("2","2","1","3","1","3","1","1") = "3"
    & squares("2","2","1","3","1","3","1","2") = "3"
    & squares("2","2","1","3","1","3","1","3") = "3"
    & squares("2","2","1","3","1","3","2","1") = "3"
    & squares("2","2","1","3","1","3","2","2") = "3"
    & squares("2","2","1","3","1","3","2","3") = "3"
    & squares("2","2","1","3","1","3","3","1") = "3"
    & squares("2","2","1","3","1","3","3","2") = "3"
    & squares("2","2","1","3","1","3","3","3") = "3"
    & squares("2","2","1","3","2","1","1","1") = "3"
    & squares("2","2","1","3","2","1","1","2") = "3"
    & squares("2","2","1","3","2","1","1","3") = "3"
    & squares("2","2","1","3","2","1","2","1") = "3"
    & squares("2","2","1","3","2","1","2","2") = "3"
    & squares("2","2","1","3","2","1","2","3") = "3"
    & squares("2","2","1","3","2","1","3","1") = "3"
    & squares("2","2","1","3","2","1","3","2") = "3"
    & squares("2","2","1","3","2","1","3","3") = "3"
    & squares("2","2","1","3","2","2","1","1") = "3"
    & squares("2","2","1","3","2","2","1","2") = "3"
    & squares("2","2","1","3","2","2","1","3") = "3"
    & squares("2","2","1","3","2","2","2","1") = "3"
    & squares("2","2","1","3","2","2","2","2") = "3"
    & squares("2","2","1","3","2","2","2","3") = "3"
    & squares("2","2","1","3","2","2","3","1") = "3"
    & squares("2","2","1","3","2","2","3","2") = "3"
    & squares("2","2","1","3","2","2","3","3") = "3"
    & squares("2","2","1","3","2","3","1","1") = "3"
    & squares("2","2","1","3","2","3","1","2") = "3"
    & squares("2","2","1","3","2","3","1","3") = "3"
    & squares("2","2","1","3","2","3","2","1") = "3"
    & squares("2","2","1","3","2","3","2","2") = "3"
    & squares("2","2","1","3","2","3","2","3") = "3"
    & squares("2","2","1","3","2","3","3","1") = "3"
    & squares("2","2","1","3","2","3","3","2") = "3"
    & squares("2","2","1","3","2","3","3","3") = "3"
    & squares("2","2","1","3","3","1","1","1") = "3"
    & squares("2","2","1","3","3","1","1","2") = "3"
    & squares("2","2","1","3","3","1","1","3") = "3"
    & squares("2","2","1","3","3","1","2","1") = "3"
    & squares("2","2","1","3","3","1","2","2") = "3"
    & squares("2","2","1","3","3","1","2","3") = "3"
    & squares("2","2","1","3","3","1","3","1") = "3"
    & squares("2","2","1","3","3","1","3","2") = "3"
    & squares("2","2","1","3","3","1","3","3") = "3"
    & squares("2","2","1","3","3","2","1","1") = "3"
    & squares("2","2","1","3","3","2","1","2") = "3"
    & squares("2","2","1","3","3","2","1","3") = "3"
    & squares("2","2","1","3","3","2","2","1") = "3"
    & squares("2","2","1","3","3","2","2","2") = "3"
    & squares("2","2","1","3","3","2","2","3") = "3"
    & squares("2","2","1","3","3","2","3","1") = "3"
    & squares("2","2","1","3","3","2","3","2") = "3"
    & squares("2","2","1","3","3","2","3","3") = "3"
    & squares("2","2","1","3","3","3","1","1") = "3"
    & squares("2","2","1","3","3","3","1","2") = "3"
    & squares("2","2","1","3","3","3","1","3") = "3"
    & squares("2","2","1","3","3","3","2","1") = "3"
    & squares("2","2","1","3","3","3","2","2") = "3"
    & squares("2","2","1","3","3","3","2","3") = "3"
    & squares("2","2","1","3","3","3","3","1") = "3"
    & squares("2","2","1","3","3","3","3","2") = "3"
    & squares("2","2","1","3","3","3","3","3") = "3"
    & squares("2","2","2","1","1","1","1","1") = "1"
    & squares("2","2","2","1","1","1","1","2") = "3"
    & squares("2","2","2","1","1","1","1","3") = "3"
    & squares("2","2","2","1","1","1","2","1") = "3"
    & squares("2","2","2","1","1","1","2","2") = "1"
    & squares("2","2","2","1","1","1","2","3") = "3"
    & squares("2","2","2","1","1","1","3","1") = "3"
    & squares("2","2","2","1","1","1","3","2") = "3"
    & squares("2","2","2","1","1","1","3","3") = "3"
    & squares("2","2","2","1","1","2","1","1") = "3"
    & squares("2","2","2","1","1","2","1","2") = "2"
    & squares("2","2","2","1","1","2","1","3") = "3"
    & squares("2","2","2","1","1","2","2","1") = "1"
    & squares("2","2","2","1","1","2","2","2") = "3"
    & squares("2","2","2","1","1","2","2","3") = "3"
    & squares("2","2","2","1","1","2","3","1") = "3"
    & squares("2","2","2","1","1","2","3","2") = "3"
    & squares("2","2","2","1","1","2","3","3") = "3"
    & squares("2","2","2","1","1","3","1","1") = "3"
    & squares("2","2","2","1","1","3","1","2") = "3"
    & squares("2","2","2","1","1","3","1","3") = "3"
    & squares("2","2","2","1","1","3","2","1") = "3"
    & squares("2","2","2","1","1","3","2","2") = "3"
    & squares("2","2","2","1","1","3","2","3") = "3"
    & squares("2","2","2","1","1","3","3","1") = "3"
    & squares("2","2","2","1","1","3","3","2") = "3"
    & squares("2","2","2","1","1","3","3","3") = "3"
    & squares("2","2","2","1","2","1","1","1") = "3"
    & squares("2","2","2","1","2","1","1","2") = "1"
    & squares("2","2","2","1","2","1","1","3") = "3"
    & squares("2","2","2","1","2","1","2","1") = "3"
    & squares("2","2","2","1","2","1","2","2") = "3"
    & squares("2","2","2","1","2","1","2","3") = "3"
    & squares("2","2","2","1","2","1","3","1") = "3"
    & squares("2","2","2","1","2","1","3","2") = "3"
    & squares("2","2","2","1","2","1","3","3") = "3"
    & squares("2","2","2","1","2","2","1","1") = "1"
    & squares("2","2","2","1","2","2","1","2") = "3"
    & squares("2","2","2","1","2","2","1","3") = "3"
    & squares("2","2","2","1","2","2","2","1") = "3"
    & squares("2","2","2","1","2","2","2","2") = "1"
    & squares("2","2","2","1","2","2","2","3") = "3"
    & squares("2","2","2","1","2","2","3","1") = "3"
    & squares("2","2","2","1","2","2","3","2") = "3"
    & squares("2","2","2","1","2","2","3","3") = "3"
    & squares("2","2","2","1","2","3","1","1") = "3"
    & squares("2","2","2","1","2","3","1","2") = "3"
    & squares("2","2","2","1","2","3","1","3") = "3"
    & squares("2","2","2","1","2","3","2","1") = "3"
    & squares("2","2","2","1","2","3","2","2") = "3"
    & squares("2","2","2","1","2","3","2","3") = "3"
    & squares("2","2","2","1","2","3","3","1") = "3"
    & squares("2","2","2","1","2","3","3","2") = "3"
    & squares("2","2","2","1","2","3","3","3") = "3"
    & squares("2","2","2","1","3","1","1","1") = "3"
    & squares("2","2","2","1","3","1","1","2") = "3"
    & squares("2","2","2","1","3","1","1","3") = "3"
    & squares("2","2","2","1","3","1","2","1") = "3"
    & squares("2","2","2","1","3","1","2","2") = "3"
    & squares("2","2","2","1","3","1","2","3") = "3"
    & squares("2","2","2","1","3","1","3","1") = "3"
    & squares("2","2","2","1","3","1","3","2") = "3"
    & squares("2","2","2","1","3","1","3","3") = "3"
    & squares("2","2","2","1","3","2","1","1") = "3"
    & squares("2","2","2","1","3","2","1","2") = "3"
    & squares("2","2","2","1","3","2","1","3") = "3"
    & squares("2","2","2","1","3","2","2","1") = "3"
    & squares("2","2","2","1","3","2","2","2") = "3"
    & squares("2","2","2","1","3","2","2","3") = "3"
    & squares("2","2","2","1","3","2","3","1") = "3"
    & squares("2","2","2","1","3","2","3","2") = "3"
    & squares("2","2","2","1","3","2","3","3") = "3"
    & squares("2","2","2","1","3","3","1","1") = "3"
    & squares("2","2","2","1","3","3","1","2") = "3"
    & squares("2","2","2","1","3","3","1","3") = "3"
    & squares("2","2","2","1","3","3","2","1") = "3"
    & squares("2","2","2","1","3","3","2","2") = "3"
    & squares("2","2","2","1","3","3","2","3") = "3"
    & squares("2","2","2","1","3","3","3","1") = "3"
    & squares("2","2","2","1","3","3","3","2") = "3"
    & squares("2","2","2","1","3","3","3","3") = "3"
    & squares("2","2","2","2","1","1","1","1") = "3"
    & squares("2","2","2","2","1","1","1","2") = "2"
    & squares("2","2","2","2","1","1","1","3") = "3"
    & squares("2","2","2","2","1","1","2","1") = "1"
    & squares("2","2","2","2","1","1","2","2") = "3"
    & squares("2","2","2","2","1","1","2","3") = "3"
    & squares("2","2","2","2","1","1","3","1") = "3"
    & squares("2","2","2","2","1","1","3","2") = "3"
    & squares("2","2","2","2","1","1","3","3") = "3"
    & squares("2","2","2","2","1","2","1","1") = "2"
    & squares("2","2","2","2","1","2","1","2") = "3"
    & squares("2","2","2","2","1","2","1","3") = "3"
    & squares("2","2","2","2","1","2","2","1") = "3"
    & squares("2","2","2","2","1","2","2","2") = "2"
    & squares("2","2","2","2","1","2","2","3") = "3"
    & squares("2","2","2","2","1","2","3","1") = "3"
    & squares("2","2","2","2","1","2","3","2") = "3"
    & squares("2","2","2","2","1","2","3","3") = "3"
    & squares("2","2","2","2","1","3","1","1") = "3"
    & squares("2","2","2","2","1","3","1","2") = "3"
    & squares("2","2","2","2","1","3","1","3") = "3"
    & squares("2","2","2","2","1","3","2","1") = "3"
    & squares("2","2","2","2","1","3","2","2") = "3"
    & squares("2","2","2","2","1","3","2","3") = "3"
    & squares("2","2","2","2","1","3","3","1") = "3"
    & squares("2","2","2","2","1","3","3","2") = "3"
    & squares("2","2","2","2","1","3","3","3") = "3"
    & squares("2","2","2","2","2","1","1","1") = "1"
    & squares("2","2","2","2","2","1","1","2") = "3"
    & squares("2","2","2","2","2","1","1","3") = "3"
    & squares("2","2","2","2","2","1","2","1") = "3"
    & squares("2","2","2","2","2","1","2","2") = "1"
    & squares("2","2","2","2","2","1","2","3") = "3"
    & squares("2","2","2","2","2","1","3","1") = "3"
    & squares("2","2","2","2","2","1","3","2") = "3"
    & squares("2","2","2","2","2","1","3","3") = "3"
    & squares("2","2","2","2","2","2","1","1") = "3"
    & squares("2","2","2","2","2","2","1","2") = "2"
    & squares("2","2","2","2","2","2","1","3") = "3"
    & squares("2","2","2","2","2","2","2","1") = "1"
    & squares("2","2","2","2","2","2","2","2") = "3"
    & squares("2","2","2","2","2","2","2","3") = "3"
    & squares("2","2","2","2","2","2","3","1") = "3"
    & squares("2","2","2","2","2","2","3","2") = "3"
    & squares("2","2","2","2","2","2","3","3") = "3"
    & squares("2","2","2","2","2","3","1","1") = "3"
    & squares("2","2","2","2","2","3","1","2") = "3"
    & squares("2","2","2","2","2","3","1","3") = "3"
    & squares("2","2","2","2","2","3","2","1") = "3"
    & squares("2","2","2","2","2","3","2","2") = "3"
    & squares("2","2","2","2","2","3","2","3") = "3"
    & squares("2","2","2","2","2","3","3","1") = "3"
    & squares("2","2","2","2","2","3","3","2") = "3"
    & squares("2","2","2","2","2","3","3","3") = "3"
    & squares("2","2","2","2","3","1","1","1") = "3"
    & squares("2","2","2","2","3","1","1","2") = "3"
    & squares("2","2","2","2","3","1","1","3") = "3"
    & squares("2","2","2","2","3","1","2","1") = "3"
    & squares("2","2","2","2","3","1","2","2") = "3"
    & squares("2","2","2","2","3","1","2","3") = "3"
    & squares("2","2","2","2","3","1","3","1") = "3"
    & squares("2","2","2","2","3","1","3","2") = "3"
    & squares("2","2","2","2","3","1","3","3") = "3"
    & squares("2","2","2","2","3","2","1","1") = "3"
    & squares("2","2","2","2","3","2","1","2") = "3"
    & squares("2","2","2","2","3","2","1","3") = "3"
    & squares("2","2","2","2","3","2","2","1") = "3"
    & squares("2","2","2","2","3","2","2","2") = "3"
    & squares("2","2","2","2","3","2","2","3") = "3"
    & squares("2","2","2","2","3","2","3","1") = "3"
    & squares("2","2","2","2","3","2","3","2") = "3"
    & squares("2","2","2","2","3","2","3","3") = "3"
    & squares("2","2","2","2","3","3","1","1") = "3"
    & squares("2","2","2","2","3","3","1","2") = "3"
    & squares("2","2","2","2","3","3","1","3") = "3"
    & squares("2","2","2","2","3","3","2","1") = "3"
    & squares("2","2","2","2","3","3","2","2") = "3"
    & squares("2","2","2","2","3","3","2","3") = "3"
    & squares("2","2","2","2","3","3","3","1") = "3"
    & squares("2","2","2","2","3","3","3","2") = "3"
    & squares("2","2","2","2","3","3","3","3") = "3"
    & squares("2","2","2","3","1","1","1","1") = "3"
    & squares("2","2","2","3","1","1","1","2") = "3"
    & squares("2","2","2","3","1","1","1","3") = "3"
    & squares("2","2","2","3","1","1","2","1") = "3"
    & squares("2","2","2","3","1","1","2","2") = "3"
    & squares("2","2","2","3","1","1","2","3") = "3"
    & squares("2","2","2","3","1","1","3","1") = "3"
    & squares("2","2","2","3","1","1","3","2") = "3"
    & squares("2","2","2","3","1","1","3","3") = "3"
    & squares("2","2","2","3","1","2","1","1") = "3"
    & squares("2","2","2","3","1","2","1","2") = "3"
    & squares("2","2","2","3","1","2","1","3") = "3"
    & squares("2","2","2","3","1","2","2","1") = "3"
    & squares("2","2","2","3","1","2","2","2") = "3"
    & squares("2","2","2","3","1","2","2","3") = "3"
    & squares("2","2","2","3","1","2","3","1") = "3"
    & squares("2","2","2","3","1","2","3","2") = "3"
    & squares("2","2","2","3","1","2","3","3") = "3"
    & squares("2","2","2","3","1","3","1","1") = "3"
    & squares("2","2","2","3","1","3","1","2") = "3"
    & squares("2","2","2","3","1","3","1","3") = "3"
    & squares("2","2","2","3","1","3","2","1") = "3"
    & squares("2","2","2","3","1","3","2","2") = "3"
    & squares("2","2","2","3","1","3","2","3") = "3"
    & squares("2","2","2","3","1","3","3","1") = "3"
    & squares("2","2","2","3","1","3","3","2") = "3"
    & squares("2","2","2","3","1","3","3","3") = "3"
    & squares("2","2","2","3","2","1","1","1") = "3"
    & squares("2","2","2","3","2","1","1","2") = "3"
    & squares("2","2","2","3","2","1","1","3") = "3"
    & squares("2","2","2","3","2","1","2","1") = "3"
    & squares("2","2","2","3","2","1","2","2") = "3"
    & squares("2","2","2","3","2","1","2","3") = "3"
    & squares("2","2","2","3","2","1","3","1") = "3"
    & squares("2","2","2","3","2","1","3","2") = "3"
    & squares("2","2","2","3","2","1","3","3") = "3"
    & squares("2","2","2","3","2","2","1","1") = "3"
    & squares("2","2","2","3","2","2","1","2") = "3"
    & squares("2","2","2","3","2","2","1","3") = "3"
    & squares("2","2","2","3","2","2","2","1") = "3"
    & squares("2","2","2","3","2","2","2","2") = "3"
    & squares("2","2","2","3","2","2","2","3") = "3"
    & squares("2","2","2","3","2","2","3","1") = "3"
    & squares("2","2","2","3","2","2","3","2") = "3"
    & squares("2","2","2","3","2","2","3","3") = "3"
    & squares("2","2","2","3","2","3","1","1") = "3"
    & squares("2","2","2","3","2","3","1","2") = "3"
    & squares("2","2","2","3","2","3","1","3") = "3"
    & squares("2","2","2","3","2","3","2","1") = "3"
    & squares("2","2","2","3","2","3","2","2") = "3"
    & squares("2","2","2","3","2","3","2","3") = "3"
    & squares("2","2","2","3","2","3","3","1") = "3"
    & squares("2","2","2","3","2","3","3","2") = "3"
    & squares("2","2","2","3","2","3","3","3") = "3"
    & squares("2","2","2","3","3","1","1","1") = "3"
    & squares("2","2","2","3","3","1","1","2") = "3"
    & squares("2","2","2","3","3","1","1","3") = "3"
    & squares("2","2","2","3","3","1","2","1") = "3"
    & squares("2","2","2","3","3","1","2","2") = "3"
    & squares("2","2","2","3","3","1","2","3") = "3"
    & squares("2","2","2","3","3","1","3","1") = "3"
    & squares("2","2","2","3","3","1","3","2") = "3"
    & squares("2","2","2","3","3","1","3","3") = "3"
    & squares("2","2","2","3","3","2","1","1") = "3"
    & squares("2","2","2","3","3","2","1","2") = "3"
    & squares("2","2","2","3","3","2","1","3") = "3"
    & squares("2","2","2","3","3","2","2","1") = "3"
    & squares("2","2","2","3","3","2","2","2") = "3"
    & squares("2","2","2","3","3","2","2","3") = "3"
    & squares("2","2","2","3","3","2","3","1") = "3"
    & squares("2","2","2","3","3","2","3","2") = "3"
    & squares("2","2","2","3","3","2","3","3") = "3"
    & squares("2","2","2","3","3","3","1","1") = "3"
    & squares("2","2","2","3","3","3","1","2") = "3"
    & squares("2","2","2","3","3","3","1","3") = "3"
    & squares("2","2","2","3","3","3","2","1") = "3"
    & squares("2","2","2","3","3","3","2","2") = "3"
    & squares("2","2","2","3","3","3","2","3") = "3"
    & squares("2","2","2","3","3","3","3","1") = "3"
    & squares("2","2","2","3","3","3","3","2") = "3"
    & squares("2","2","2","3","3","3","3","3") = "3"
    & squares("2","2","3","1","1","1","1","1") = "3"
    & squares("2","2","3","1","1","1","1","2") = "3"
    & squares("2","2","3","1","1","1","1","3") = "3"
    & squares("2","2","3","1","1","1","2","1") = "3"
    & squares("2","2","3","1","1","1","2","2") = "3"
    & squares("2","2","3","1","1","1","2","3") = "3"
    & squares("2","2","3","1","1","1","3","1") = "3"
    & squares("2","2","3","1","1","1","3","2") = "3"
    & squares("2","2","3","1","1","1","3","3") = "3"
    & squares("2","2","3","1","1","2","1","1") = "3"
    & squares("2","2","3","1","1","2","1","2") = "3"
    & squares("2","2","3","1","1","2","1","3") = "3"
    & squares("2","2","3","1","1","2","2","1") = "3"
    & squares("2","2","3","1","1","2","2","2") = "3"
    & squares("2","2","3","1","1","2","2","3") = "3"
    & squares("2","2","3","1","1","2","3","1") = "3"
    & squares("2","2","3","1","1","2","3","2") = "3"
    & squares("2","2","3","1","1","2","3","3") = "3"
    & squares("2","2","3","1","1","3","1","1") = "3"
    & squares("2","2","3","1","1","3","1","2") = "3"
    & squares("2","2","3","1","1","3","1","3") = "3"
    & squares("2","2","3","1","1","3","2","1") = "3"
    & squares("2","2","3","1","1","3","2","2") = "3"
    & squares("2","2","3","1","1","3","2","3") = "3"
    & squares("2","2","3","1","1","3","3","1") = "3"
    & squares("2","2","3","1","1","3","3","2") = "3"
    & squares("2","2","3","1","1","3","3","3") = "3"
    & squares("2","2","3","1","2","1","1","1") = "3"
    & squares("2","2","3","1","2","1","1","2") = "3"
    & squares("2","2","3","1","2","1","1","3") = "3"
    & squares("2","2","3","1","2","1","2","1") = "3"
    & squares("2","2","3","1","2","1","2","2") = "3"
    & squares("2","2","3","1","2","1","2","3") = "3"
    & squares("2","2","3","1","2","1","3","1") = "3"
    & squares("2","2","3","1","2","1","3","2") = "3"
    & squares("2","2","3","1","2","1","3","3") = "3"
    & squares("2","2","3","1","2","2","1","1") = "3"
    & squares("2","2","3","1","2","2","1","2") = "3"
    & squares("2","2","3","1","2","2","1","3") = "3"
    & squares("2","2","3","1","2","2","2","1") = "3"
    & squares("2","2","3","1","2","2","2","2") = "3"
    & squares("2","2","3","1","2","2","2","3") = "3"
    & squares("2","2","3","1","2","2","3","1") = "3"
    & squares("2","2","3","1","2","2","3","2") = "3"
    & squares("2","2","3","1","2","2","3","3") = "3"
    & squares("2","2","3","1","2","3","1","1") = "3"
    & squares("2","2","3","1","2","3","1","2") = "3"
    & squares("2","2","3","1","2","3","1","3") = "3"
    & squares("2","2","3","1","2","3","2","1") = "3"
    & squares("2","2","3","1","2","3","2","2") = "3"
    & squares("2","2","3","1","2","3","2","3") = "3"
    & squares("2","2","3","1","2","3","3","1") = "3"
    & squares("2","2","3","1","2","3","3","2") = "3"
    & squares("2","2","3","1","2","3","3","3") = "3"
    & squares("2","2","3","1","3","1","1","1") = "3"
    & squares("2","2","3","1","3","1","1","2") = "3"
    & squares("2","2","3","1","3","1","1","3") = "3"
    & squares("2","2","3","1","3","1","2","1") = "3"
    & squares("2","2","3","1","3","1","2","2") = "3"
    & squares("2","2","3","1","3","1","2","3") = "3"
    & squares("2","2","3","1","3","1","3","1") = "3"
    & squares("2","2","3","1","3","1","3","2") = "3"
    & squares("2","2","3","1","3","1","3","3") = "3"
    & squares("2","2","3","1","3","2","1","1") = "3"
    & squares("2","2","3","1","3","2","1","2") = "3"
    & squares("2","2","3","1","3","2","1","3") = "3"
    & squares("2","2","3","1","3","2","2","1") = "3"
    & squares("2","2","3","1","3","2","2","2") = "3"
    & squares("2","2","3","1","3","2","2","3") = "3"
    & squares("2","2","3","1","3","2","3","1") = "3"
    & squares("2","2","3","1","3","2","3","2") = "3"
    & squares("2","2","3","1","3","2","3","3") = "3"
    & squares("2","2","3","1","3","3","1","1") = "3"
    & squares("2","2","3","1","3","3","1","2") = "3"
    & squares("2","2","3","1","3","3","1","3") = "3"
    & squares("2","2","3","1","3","3","2","1") = "3"
    & squares("2","2","3","1","3","3","2","2") = "3"
    & squares("2","2","3","1","3","3","2","3") = "3"
    & squares("2","2","3","1","3","3","3","1") = "3"
    & squares("2","2","3","1","3","3","3","2") = "3"
    & squares("2","2","3","1","3","3","3","3") = "3"
    & squares("2","2","3","2","1","1","1","1") = "3"
    & squares("2","2","3","2","1","1","1","2") = "3"
    & squares("2","2","3","2","1","1","1","3") = "3"
    & squares("2","2","3","2","1","1","2","1") = "3"
    & squares("2","2","3","2","1","1","2","2") = "3"
    & squares("2","2","3","2","1","1","2","3") = "3"
    & squares("2","2","3","2","1","1","3","1") = "3"
    & squares("2","2","3","2","1","1","3","2") = "3"
    & squares("2","2","3","2","1","1","3","3") = "3"
    & squares("2","2","3","2","1","2","1","1") = "3"
    & squares("2","2","3","2","1","2","1","2") = "3"
    & squares("2","2","3","2","1","2","1","3") = "3"
    & squares("2","2","3","2","1","2","2","1") = "3"
    & squares("2","2","3","2","1","2","2","2") = "3"
    & squares("2","2","3","2","1","2","2","3") = "3"
    & squares("2","2","3","2","1","2","3","1") = "3"
    & squares("2","2","3","2","1","2","3","2") = "3"
    & squares("2","2","3","2","1","2","3","3") = "3"
    & squares("2","2","3","2","1","3","1","1") = "3"
    & squares("2","2","3","2","1","3","1","2") = "3"
    & squares("2","2","3","2","1","3","1","3") = "3"
    & squares("2","2","3","2","1","3","2","1") = "3"
    & squares("2","2","3","2","1","3","2","2") = "3"
    & squares("2","2","3","2","1","3","2","3") = "3"
    & squares("2","2","3","2","1","3","3","1") = "3"
    & squares("2","2","3","2","1","3","3","2") = "3"
    & squares("2","2","3","2","1","3","3","3") = "3"
    & squares("2","2","3","2","2","1","1","1") = "3"
    & squares("2","2","3","2","2","1","1","2") = "3"
    & squares("2","2","3","2","2","1","1","3") = "3"
    & squares("2","2","3","2","2","1","2","1") = "3"
    & squares("2","2","3","2","2","1","2","2") = "3"
    & squares("2","2","3","2","2","1","2","3") = "3"
    & squares("2","2","3","2","2","1","3","1") = "3"
    & squares("2","2","3","2","2","1","3","2") = "3"
    & squares("2","2","3","2","2","1","3","3") = "3"
    & squares("2","2","3","2","2","2","1","1") = "3"
    & squares("2","2","3","2","2","2","1","2") = "3"
    & squares("2","2","3","2","2","2","1","3") = "3"
    & squares("2","2","3","2","2","2","2","1") = "3"
    & squares("2","2","3","2","2","2","2","2") = "3"
    & squares("2","2","3","2","2","2","2","3") = "3"
    & squares("2","2","3","2","2","2","3","1") = "3"
    & squares("2","2","3","2","2","2","3","2") = "3"
    & squares("2","2","3","2","2","2","3","3") = "3"
    & squares("2","2","3","2","2","3","1","1") = "3"
    & squares("2","2","3","2","2","3","1","2") = "3"
    & squares("2","2","3","2","2","3","1","3") = "3"
    & squares("2","2","3","2","2","3","2","1") = "3"
    & squares("2","2","3","2","2","3","2","2") = "3"
    & squares("2","2","3","2","2","3","2","3") = "3"
    & squares("2","2","3","2","2","3","3","1") = "3"
    & squares("2","2","3","2","2","3","3","2") = "3"
    & squares("2","2","3","2","2","3","3","3") = "3"
    & squares("2","2","3","2","3","1","1","1") = "3"
    & squares("2","2","3","2","3","1","1","2") = "3"
    & squares("2","2","3","2","3","1","1","3") = "3"
    & squares("2","2","3","2","3","1","2","1") = "3"
    & squares("2","2","3","2","3","1","2","2") = "3"
    & squares("2","2","3","2","3","1","2","3") = "3"
    & squares("2","2","3","2","3","1","3","1") = "3"
    & squares("2","2","3","2","3","1","3","2") = "3"
    & squares("2","2","3","2","3","1","3","3") = "3"
    & squares("2","2","3","2","3","2","1","1") = "3"
    & squares("2","2","3","2","3","2","1","2") = "3"
    & squares("2","2","3","2","3","2","1","3") = "3"
    & squares("2","2","3","2","3","2","2","1") = "3"
    & squares("2","2","3","2","3","2","2","2") = "3"
    & squares("2","2","3","2","3","2","2","3") = "3"
    & squares("2","2","3","2","3","2","3","1") = "3"
    & squares("2","2","3","2","3","2","3","2") = "3"
    & squares("2","2","3","2","3","2","3","3") = "3"
    & squares("2","2","3","2","3","3","1","1") = "3"
    & squares("2","2","3","2","3","3","1","2") = "3"
    & squares("2","2","3","2","3","3","1","3") = "3"
    & squares("2","2","3","2","3","3","2","1") = "3"
    & squares("2","2","3","2","3","3","2","2") = "3"
    & squares("2","2","3","2","3","3","2","3") = "3"
    & squares("2","2","3","2","3","3","3","1") = "3"
    & squares("2","2","3","2","3","3","3","2") = "3"
    & squares("2","2","3","2","3","3","3","3") = "3"
    & squares("2","2","3","3","1","1","1","1") = "3"
    & squares("2","2","3","3","1","1","1","2") = "3"
    & squares("2","2","3","3","1","1","1","3") = "3"
    & squares("2","2","3","3","1","1","2","1") = "3"
    & squares("2","2","3","3","1","1","2","2") = "3"
    & squares("2","2","3","3","1","1","2","3") = "3"
    & squares("2","2","3","3","1","1","3","1") = "3"
    & squares("2","2","3","3","1","1","3","2") = "3"
    & squares("2","2","3","3","1","1","3","3") = "3"
    & squares("2","2","3","3","1","2","1","1") = "3"
    & squares("2","2","3","3","1","2","1","2") = "3"
    & squares("2","2","3","3","1","2","1","3") = "3"
    & squares("2","2","3","3","1","2","2","1") = "3"
    & squares("2","2","3","3","1","2","2","2") = "3"
    & squares("2","2","3","3","1","2","2","3") = "3"
    & squares("2","2","3","3","1","2","3","1") = "3"
    & squares("2","2","3","3","1","2","3","2") = "3"
    & squares("2","2","3","3","1","2","3","3") = "3"
    & squares("2","2","3","3","1","3","1","1") = "3"
    & squares("2","2","3","3","1","3","1","2") = "3"
    & squares("2","2","3","3","1","3","1","3") = "3"
    & squares("2","2","3","3","1","3","2","1") = "3"
    & squares("2","2","3","3","1","3","2","2") = "3"
    & squares("2","2","3","3","1","3","2","3") = "3"
    & squares("2","2","3","3","1","3","3","1") = "3"
    & squares("2","2","3","3","1","3","3","2") = "3"
    & squares("2","2","3","3","1","3","3","3") = "3"
    & squares("2","2","3","3","2","1","1","1") = "3"
    & squares("2","2","3","3","2","1","1","2") = "3"
    & squares("2","2","3","3","2","1","1","3") = "3"
    & squares("2","2","3","3","2","1","2","1") = "3"
    & squares("2","2","3","3","2","1","2","2") = "3"
    & squares("2","2","3","3","2","1","2","3") = "3"
    & squares("2","2","3","3","2","1","3","1") = "3"
    & squares("2","2","3","3","2","1","3","2") = "3"
    & squares("2","2","3","3","2","1","3","3") = "3"
    & squares("2","2","3","3","2","2","1","1") = "3"
    & squares("2","2","3","3","2","2","1","2") = "3"
    & squares("2","2","3","3","2","2","1","3") = "3"
    & squares("2","2","3","3","2","2","2","1") = "3"
    & squares("2","2","3","3","2","2","2","2") = "3"
    & squares("2","2","3","3","2","2","2","3") = "3"
    & squares("2","2","3","3","2","2","3","1") = "3"
    & squares("2","2","3","3","2","2","3","2") = "3"
    & squares("2","2","3","3","2","2","3","3") = "3"
    & squares("2","2","3","3","2","3","1","1") = "3"
    & squares("2","2","3","3","2","3","1","2") = "3"
    & squares("2","2","3","3","2","3","1","3") = "3"
    & squares("2","2","3","3","2","3","2","1") = "3"
    & squares("2","2","3","3","2","3","2","2") = "3"
    & squares("2","2","3","3","2","3","2","3") = "3"
    & squares("2","2","3","3","2","3","3","1") = "3"
    & squares("2","2","3","3","2","3","3","2") = "3"
    & squares("2","2","3","3","2","3","3","3") = "3"
    & squares("2","2","3","3","3","1","1","1") = "3"
    & squares("2","2","3","3","3","1","1","2") = "3"
    & squares("2","2","3","3","3","1","1","3") = "3"
    & squares("2","2","3","3","3","1","2","1") = "3"
    & squares("2","2","3","3","3","1","2","2") = "3"
    & squares("2","2","3","3","3","1","2","3") = "3"
    & squares("2","2","3","3","3","1","3","1") = "3"
    & squares("2","2","3","3","3","1","3","2") = "3"
    & squares("2","2","3","3","3","1","3","3") = "3"
    & squares("2","2","3","3","3","2","1","1") = "3"
    & squares("2","2","3","3","3","2","1","2") = "3"
    & squares("2","2","3","3","3","2","1","3") = "3"
    & squares("2","2","3","3","3","2","2","1") = "3"
    & squares("2","2","3","3","3","2","2","2") = "3"
    & squares("2","2","3","3","3","2","2","3") = "3"
    & squares("2","2","3","3","3","2","3","1") = "3"
    & squares("2","2","3","3","3","2","3","2") = "3"
    & squares("2","2","3","3","3","2","3","3") = "3"
    & squares("2","2","3","3","3","3","1","1") = "3"
    & squares("2","2","3","3","3","3","1","2") = "3"
    & squares("2","2","3","3","3","3","1","3") = "3"
    & squares("2","2","3","3","3","3","2","1") = "3"
    & squares("2","2","3","3","3","3","2","2") = "3"
    & squares("2","2","3","3","3","3","2","3") = "3"
    & squares("2","2","3","3","3","3","3","1") = "3"
    & squares("2","2","3","3","3","3","3","2") = "3"
    & squares("2","2","3","3","3","3","3","3") = "3"
    & squares("2","3","1","1","1","1","1","1") = "3"
    & squares("2","3","1","1","1","1","1","2") = "3"
    & squares("2","3","1","1","1","1","1","3") = "3"
    & squares("2","3","1","1","1","1","2","1") = "3"
    & squares("2","3","1","1","1","1","2","2") = "3"
    & squares("2","3","1","1","1","1","2","3") = "3"
    & squares("2","3","1","1","1","1","3","1") = "3"
    & squares("2","3","1","1","1","1","3","2") = "3"
    & squares("2","3","1","1","1","1","3","3") = "3"
    & squares("2","3","1","1","1","2","1","1") = "3"
    & squares("2","3","1","1","1","2","1","2") = "3"
    & squares("2","3","1","1","1","2","1","3") = "3"
    & squares("2","3","1","1","1","2","2","1") = "3"
    & squares("2","3","1","1","1","2","2","2") = "3"
    & squares("2","3","1","1","1","2","2","3") = "3"
    & squares("2","3","1","1","1","2","3","1") = "3"
    & squares("2","3","1","1","1","2","3","2") = "3"
    & squares("2","3","1","1","1","2","3","3") = "3"
    & squares("2","3","1","1","1","3","1","1") = "3"
    & squares("2","3","1","1","1","3","1","2") = "3"
    & squares("2","3","1","1","1","3","1","3") = "3"
    & squares("2","3","1","1","1","3","2","1") = "3"
    & squares("2","3","1","1","1","3","2","2") = "3"
    & squares("2","3","1","1","1","3","2","3") = "3"
    & squares("2","3","1","1","1","3","3","1") = "3"
    & squares("2","3","1","1","1","3","3","2") = "3"
    & squares("2","3","1","1","1","3","3","3") = "3"
    & squares("2","3","1","1","2","1","1","1") = "3"
    & squares("2","3","1","1","2","1","1","2") = "3"
    & squares("2","3","1","1","2","1","1","3") = "3"
    & squares("2","3","1","1","2","1","2","1") = "3"
    & squares("2","3","1","1","2","1","2","2") = "3"
    & squares("2","3","1","1","2","1","2","3") = "3"
    & squares("2","3","1","1","2","1","3","1") = "3"
    & squares("2","3","1","1","2","1","3","2") = "3"
    & squares("2","3","1","1","2","1","3","3") = "3"
    & squares("2","3","1","1","2","2","1","1") = "3"
    & squares("2","3","1","1","2","2","1","2") = "3"
    & squares("2","3","1","1","2","2","1","3") = "3"
    & squares("2","3","1","1","2","2","2","1") = "3"
    & squares("2","3","1","1","2","2","2","2") = "3"
    & squares("2","3","1","1","2","2","2","3") = "3"
    & squares("2","3","1","1","2","2","3","1") = "3"
    & squares("2","3","1","1","2","2","3","2") = "3"
    & squares("2","3","1","1","2","2","3","3") = "3"
    & squares("2","3","1","1","2","3","1","1") = "3"
    & squares("2","3","1","1","2","3","1","2") = "3"
    & squares("2","3","1","1","2","3","1","3") = "3"
    & squares("2","3","1","1","2","3","2","1") = "3"
    & squares("2","3","1","1","2","3","2","2") = "3"
    & squares("2","3","1","1","2","3","2","3") = "3"
    & squares("2","3","1","1","2","3","3","1") = "3"
    & squares("2","3","1","1","2","3","3","2") = "3"
    & squares("2","3","1","1","2","3","3","3") = "3"
    & squares("2","3","1","1","3","1","1","1") = "3"
    & squares("2","3","1","1","3","1","1","2") = "3"
    & squares("2","3","1","1","3","1","1","3") = "3"
    & squares("2","3","1","1","3","1","2","1") = "3"
    & squares("2","3","1","1","3","1","2","2") = "3"
    & squares("2","3","1","1","3","1","2","3") = "3"
    & squares("2","3","1","1","3","1","3","1") = "3"
    & squares("2","3","1","1","3","1","3","2") = "3"
    & squares("2","3","1","1","3","1","3","3") = "3"
    & squares("2","3","1","1","3","2","1","1") = "3"
    & squares("2","3","1","1","3","2","1","2") = "3"
    & squares("2","3","1","1","3","2","1","3") = "3"
    & squares("2","3","1","1","3","2","2","1") = "3"
    & squares("2","3","1","1","3","2","2","2") = "3"
    & squares("2","3","1","1","3","2","2","3") = "3"
    & squares("2","3","1","1","3","2","3","1") = "3"
    & squares("2","3","1","1","3","2","3","2") = "3"
    & squares("2","3","1","1","3","2","3","3") = "3"
    & squares("2","3","1","1","3","3","1","1") = "3"
    & squares("2","3","1","1","3","3","1","2") = "3"
    & squares("2","3","1","1","3","3","1","3") = "3"
    & squares("2","3","1","1","3","3","2","1") = "3"
    & squares("2","3","1","1","3","3","2","2") = "3"
    & squares("2","3","1","1","3","3","2","3") = "3"
    & squares("2","3","1","1","3","3","3","1") = "3"
    & squares("2","3","1","1","3","3","3","2") = "3"
    & squares("2","3","1","1","3","3","3","3") = "3"
    & squares("2","3","1","2","1","1","1","1") = "3"
    & squares("2","3","1","2","1","1","1","2") = "3"
    & squares("2","3","1","2","1","1","1","3") = "3"
    & squares("2","3","1","2","1","1","2","1") = "3"
    & squares("2","3","1","2","1","1","2","2") = "3"
    & squares("2","3","1","2","1","1","2","3") = "3"
    & squares("2","3","1","2","1","1","3","1") = "3"
    & squares("2","3","1","2","1","1","3","2") = "3"
    & squares("2","3","1","2","1","1","3","3") = "3"
    & squares("2","3","1","2","1","2","1","1") = "3"
    & squares("2","3","1","2","1","2","1","2") = "3"
    & squares("2","3","1","2","1","2","1","3") = "3"
    & squares("2","3","1","2","1","2","2","1") = "3"
    & squares("2","3","1","2","1","2","2","2") = "3"
    & squares("2","3","1","2","1","2","2","3") = "3"
    & squares("2","3","1","2","1","2","3","1") = "3"
    & squares("2","3","1","2","1","2","3","2") = "3"
    & squares("2","3","1","2","1","2","3","3") = "3"
    & squares("2","3","1","2","1","3","1","1") = "3"
    & squares("2","3","1","2","1","3","1","2") = "3"
    & squares("2","3","1","2","1","3","1","3") = "3"
    & squares("2","3","1","2","1","3","2","1") = "3"
    & squares("2","3","1","2","1","3","2","2") = "3"
    & squares("2","3","1","2","1","3","2","3") = "3"
    & squares("2","3","1","2","1","3","3","1") = "3"
    & squares("2","3","1","2","1","3","3","2") = "3"
    & squares("2","3","1","2","1","3","3","3") = "3"
    & squares("2","3","1","2","2","1","1","1") = "3"
    & squares("2","3","1","2","2","1","1","2") = "3"
    & squares("2","3","1","2","2","1","1","3") = "3"
    & squares("2","3","1","2","2","1","2","1") = "3"
    & squares("2","3","1","2","2","1","2","2") = "3"
    & squares("2","3","1","2","2","1","2","3") = "3"
    & squares("2","3","1","2","2","1","3","1") = "3"
    & squares("2","3","1","2","2","1","3","2") = "3"
    & squares("2","3","1","2","2","1","3","3") = "3"
    & squares("2","3","1","2","2","2","1","1") = "3"
    & squares("2","3","1","2","2","2","1","2") = "3"
    & squares("2","3","1","2","2","2","1","3") = "3"
    & squares("2","3","1","2","2","2","2","1") = "3"
    & squares("2","3","1","2","2","2","2","2") = "3"
    & squares("2","3","1","2","2","2","2","3") = "3"
    & squares("2","3","1","2","2","2","3","1") = "3"
    & squares("2","3","1","2","2","2","3","2") = "3"
    & squares("2","3","1","2","2","2","3","3") = "3"
    & squares("2","3","1","2","2","3","1","1") = "3"
    & squares("2","3","1","2","2","3","1","2") = "3"
    & squares("2","3","1","2","2","3","1","3") = "3"
    & squares("2","3","1","2","2","3","2","1") = "3"
    & squares("2","3","1","2","2","3","2","2") = "3"
    & squares("2","3","1","2","2","3","2","3") = "3"
    & squares("2","3","1","2","2","3","3","1") = "3"
    & squares("2","3","1","2","2","3","3","2") = "3"
    & squares("2","3","1","2","2","3","3","3") = "3"
    & squares("2","3","1","2","3","1","1","1") = "3"
    & squares("2","3","1","2","3","1","1","2") = "3"
    & squares("2","3","1","2","3","1","1","3") = "3"
    & squares("2","3","1","2","3","1","2","1") = "3"
    & squares("2","3","1","2","3","1","2","2") = "3"
    & squares("2","3","1","2","3","1","2","3") = "3"
    & squares("2","3","1","2","3","1","3","1") = "3"
    & squares("2","3","1","2","3","1","3","2") = "3"
    & squares("2","3","1","2","3","1","3","3") = "3"
    & squares("2","3","1","2","3","2","1","1") = "3"
    & squares("2","3","1","2","3","2","1","2") = "3"
    & squares("2","3","1","2","3","2","1","3") = "3"
    & squares("2","3","1","2","3","2","2","1") = "3"
    & squares("2","3","1","2","3","2","2","2") = "3"
    & squares("2","3","1","2","3","2","2","3") = "3"
    & squares("2","3","1","2","3","2","3","1") = "3"
    & squares("2","3","1","2","3","2","3","2") = "3"
    & squares("2","3","1","2","3","2","3","3") = "3"
    & squares("2","3","1","2","3","3","1","1") = "3"
    & squares("2","3","1","2","3","3","1","2") = "3"
    & squares("2","3","1","2","3","3","1","3") = "3"
    & squares("2","3","1","2","3","3","2","1") = "3"
    & squares("2","3","1","2","3","3","2","2") = "3"
    & squares("2","3","1","2","3","3","2","3") = "3"
    & squares("2","3","1","2","3","3","3","1") = "3"
    & squares("2","3","1","2","3","3","3","2") = "3"
    & squares("2","3","1","2","3","3","3","3") = "3"
    & squares("2","3","1","3","1","1","1","1") = "3"
    & squares("2","3","1","3","1","1","1","2") = "3"
    & squares("2","3","1","3","1","1","1","3") = "3"
    & squares("2","3","1","3","1","1","2","1") = "3"
    & squares("2","3","1","3","1","1","2","2") = "3"
    & squares("2","3","1","3","1","1","2","3") = "3"
    & squares("2","3","1","3","1","1","3","1") = "3"
    & squares("2","3","1","3","1","1","3","2") = "3"
    & squares("2","3","1","3","1","1","3","3") = "3"
    & squares("2","3","1","3","1","2","1","1") = "3"
    & squares("2","3","1","3","1","2","1","2") = "3"
    & squares("2","3","1","3","1","2","1","3") = "3"
    & squares("2","3","1","3","1","2","2","1") = "3"
    & squares("2","3","1","3","1","2","2","2") = "3"
    & squares("2","3","1","3","1","2","2","3") = "3"
    & squares("2","3","1","3","1","2","3","1") = "3"
    & squares("2","3","1","3","1","2","3","2") = "3"
    & squares("2","3","1","3","1","2","3","3") = "3"
    & squares("2","3","1","3","1","3","1","1") = "3"
    & squares("2","3","1","3","1","3","1","2") = "3"
    & squares("2","3","1","3","1","3","1","3") = "3"
    & squares("2","3","1","3","1","3","2","1") = "3"
    & squares("2","3","1","3","1","3","2","2") = "3"
    & squares("2","3","1","3","1","3","2","3") = "3"
    & squares("2","3","1","3","1","3","3","1") = "3"
    & squares("2","3","1","3","1","3","3","2") = "3"
    & squares("2","3","1","3","1","3","3","3") = "3"
    & squares("2","3","1","3","2","1","1","1") = "3"
    & squares("2","3","1","3","2","1","1","2") = "3"
    & squares("2","3","1","3","2","1","1","3") = "3"
    & squares("2","3","1","3","2","1","2","1") = "3"
    & squares("2","3","1","3","2","1","2","2") = "3"
    & squares("2","3","1","3","2","1","2","3") = "3"
    & squares("2","3","1","3","2","1","3","1") = "3"
    & squares("2","3","1","3","2","1","3","2") = "3"
    & squares("2","3","1","3","2","1","3","3") = "3"
    & squares("2","3","1","3","2","2","1","1") = "3"
    & squares("2","3","1","3","2","2","1","2") = "3"
    & squares("2","3","1","3","2","2","1","3") = "3"
    & squares("2","3","1","3","2","2","2","1") = "3"
    & squares("2","3","1","3","2","2","2","2") = "3"
    & squares("2","3","1","3","2","2","2","3") = "3"
    & squares("2","3","1","3","2","2","3","1") = "3"
    & squares("2","3","1","3","2","2","3","2") = "3"
    & squares("2","3","1","3","2","2","3","3") = "3"
    & squares("2","3","1","3","2","3","1","1") = "3"
    & squares("2","3","1","3","2","3","1","2") = "3"
    & squares("2","3","1","3","2","3","1","3") = "3"
    & squares("2","3","1","3","2","3","2","1") = "3"
    & squares("2","3","1","3","2","3","2","2") = "3"
    & squares("2","3","1","3","2","3","2","3") = "3"
    & squares("2","3","1","3","2","3","3","1") = "3"
    & squares("2","3","1","3","2","3","3","2") = "3"
    & squares("2","3","1","3","2","3","3","3") = "3"
    & squares("2","3","1","3","3","1","1","1") = "3"
    & squares("2","3","1","3","3","1","1","2") = "3"
    & squares("2","3","1","3","3","1","1","3") = "3"
    & squares("2","3","1","3","3","1","2","1") = "3"
    & squares("2","3","1","3","3","1","2","2") = "3"
    & squares("2","3","1","3","3","1","2","3") = "3"
    & squares("2","3","1","3","3","1","3","1") = "3"
    & squares("2","3","1","3","3","1","3","2") = "3"
    & squares("2","3","1","3","3","1","3","3") = "3"
    & squares("2","3","1","3","3","2","1","1") = "3"
    & squares("2","3","1","3","3","2","1","2") = "3"
    & squares("2","3","1","3","3","2","1","3") = "3"
    & squares("2","3","1","3","3","2","2","1") = "3"
    & squares("2","3","1","3","3","2","2","2") = "3"
    & squares("2","3","1","3","3","2","2","3") = "3"
    & squares("2","3","1","3","3","2","3","1") = "3"
    & squares("2","3","1","3","3","2","3","2") = "3"
    & squares("2","3","1","3","3","2","3","3") = "3"
    & squares("2","3","1","3","3","3","1","1") = "3"
    & squares("2","3","1","3","3","3","1","2") = "3"
    & squares("2","3","1","3","3","3","1","3") = "3"
    & squares("2","3","1","3","3","3","2","1") = "3"
    & squares("2","3","1","3","3","3","2","2") = "3"
    & squares("2","3","1","3","3","3","2","3") = "3"
    & squares("2","3","1","3","3","3","3","1") = "3"
    & squares("2","3","1","3","3","3","3","2") = "3"
    & squares("2","3","1","3","3","3","3","3") = "3"
    & squares("2","3","2","1","1","1","1","1") = "3"
    & squares("2","3","2","1","1","1","1","2") = "3"
    & squares("2","3","2","1","1","1","1","3") = "3"
    & squares("2","3","2","1","1","1","2","1") = "3"
    & squares("2","3","2","1","1","1","2","2") = "3"
    & squares("2","3","2","1","1","1","2","3") = "3"
    & squares("2","3","2","1","1","1","3","1") = "3"
    & squares("2","3","2","1","1","1","3","2") = "3"
    & squares("2","3","2","1","1","1","3","3") = "3"
    & squares("2","3","2","1","1","2","1","1") = "3"
    & squares("2","3","2","1","1","2","1","2") = "3"
    & squares("2","3","2","1","1","2","1","3") = "3"
    & squares("2","3","2","1","1","2","2","1") = "3"
    & squares("2","3","2","1","1","2","2","2") = "3"
    & squares("2","3","2","1","1","2","2","3") = "3"
    & squares("2","3","2","1","1","2","3","1") = "3"
    & squares("2","3","2","1","1","2","3","2") = "3"
    & squares("2","3","2","1","1","2","3","3") = "3"
    & squares("2","3","2","1","1","3","1","1") = "3"
    & squares("2","3","2","1","1","3","1","2") = "3"
    & squares("2","3","2","1","1","3","1","3") = "3"
    & squares("2","3","2","1","1","3","2","1") = "3"
    & squares("2","3","2","1","1","3","2","2") = "3"
    & squares("2","3","2","1","1","3","2","3") = "3"
    & squares("2","3","2","1","1","3","3","1") = "3"
    & squares("2","3","2","1","1","3","3","2") = "3"
    & squares("2","3","2","1","1","3","3","3") = "3"
    & squares("2","3","2","1","2","1","1","1") = "3"
    & squares("2","3","2","1","2","1","1","2") = "3"
    & squares("2","3","2","1","2","1","1","3") = "3"
    & squares("2","3","2","1","2","1","2","1") = "3"
    & squares("2","3","2","1","2","1","2","2") = "3"
    & squares("2","3","2","1","2","1","2","3") = "3"
    & squares("2","3","2","1","2","1","3","1") = "3"
    & squares("2","3","2","1","2","1","3","2") = "3"
    & squares("2","3","2","1","2","1","3","3") = "3"
    & squares("2","3","2","1","2","2","1","1") = "3"
    & squares("2","3","2","1","2","2","1","2") = "3"
    & squares("2","3","2","1","2","2","1","3") = "3"
    & squares("2","3","2","1","2","2","2","1") = "3"
    & squares("2","3","2","1","2","2","2","2") = "3"
    & squares("2","3","2","1","2","2","2","3") = "3"
    & squares("2","3","2","1","2","2","3","1") = "3"
    & squares("2","3","2","1","2","2","3","2") = "3"
    & squares("2","3","2","1","2","2","3","3") = "3"
    & squares("2","3","2","1","2","3","1","1") = "3"
    & squares("2","3","2","1","2","3","1","2") = "3"
    & squares("2","3","2","1","2","3","1","3") = "3"
    & squares("2","3","2","1","2","3","2","1") = "3"
    & squares("2","3","2","1","2","3","2","2") = "3"
    & squares("2","3","2","1","2","3","2","3") = "3"
    & squares("2","3","2","1","2","3","3","1") = "3"
    & squares("2","3","2","1","2","3","3","2") = "3"
    & squares("2","3","2","1","2","3","3","3") = "3"
    & squares("2","3","2","1","3","1","1","1") = "3"
    & squares("2","3","2","1","3","1","1","2") = "3"
    & squares("2","3","2","1","3","1","1","3") = "3"
    & squares("2","3","2","1","3","1","2","1") = "3"
    & squares("2","3","2","1","3","1","2","2") = "3"
    & squares("2","3","2","1","3","1","2","3") = "3"
    & squares("2","3","2","1","3","1","3","1") = "3"
    & squares("2","3","2","1","3","1","3","2") = "3"
    & squares("2","3","2","1","3","1","3","3") = "3"
    & squares("2","3","2","1","3","2","1","1") = "3"
    & squares("2","3","2","1","3","2","1","2") = "3"
    & squares("2","3","2","1","3","2","1","3") = "3"
    & squares("2","3","2","1","3","2","2","1") = "3"
    & squares("2","3","2","1","3","2","2","2") = "3"
    & squares("2","3","2","1","3","2","2","3") = "3"
    & squares("2","3","2","1","3","2","3","1") = "3"
    & squares("2","3","2","1","3","2","3","2") = "3"
    & squares("2","3","2","1","3","2","3","3") = "3"
    & squares("2","3","2","1","3","3","1","1") = "3"
    & squares("2","3","2","1","3","3","1","2") = "3"
    & squares("2","3","2","1","3","3","1","3") = "3"
    & squares("2","3","2","1","3","3","2","1") = "3"
    & squares("2","3","2","1","3","3","2","2") = "3"
    & squares("2","3","2","1","3","3","2","3") = "3"
    & squares("2","3","2","1","3","3","3","1") = "3"
    & squares("2","3","2","1","3","3","3","2") = "3"
    & squares("2","3","2","1","3","3","3","3") = "3"
    & squares("2","3","2","2","1","1","1","1") = "3"
    & squares("2","3","2","2","1","1","1","2") = "3"
    & squares("2","3","2","2","1","1","1","3") = "3"
    & squares("2","3","2","2","1","1","2","1") = "3"
    & squares("2","3","2","2","1","1","2","2") = "3"
    & squares("2","3","2","2","1","1","2","3") = "3"
    & squares("2","3","2","2","1","1","3","1") = "3"
    & squares("2","3","2","2","1","1","3","2") = "3"
    & squares("2","3","2","2","1","1","3","3") = "3"
    & squares("2","3","2","2","1","2","1","1") = "3"
    & squares("2","3","2","2","1","2","1","2") = "3"
    & squares("2","3","2","2","1","2","1","3") = "3"
    & squares("2","3","2","2","1","2","2","1") = "3"
    & squares("2","3","2","2","1","2","2","2") = "3"
    & squares("2","3","2","2","1","2","2","3") = "3"
    & squares("2","3","2","2","1","2","3","1") = "3"
    & squares("2","3","2","2","1","2","3","2") = "3"
    & squares("2","3","2","2","1","2","3","3") = "3"
    & squares("2","3","2","2","1","3","1","1") = "3"
    & squares("2","3","2","2","1","3","1","2") = "3"
    & squares("2","3","2","2","1","3","1","3") = "3"
    & squares("2","3","2","2","1","3","2","1") = "3"
    & squares("2","3","2","2","1","3","2","2") = "3"
    & squares("2","3","2","2","1","3","2","3") = "3"
    & squares("2","3","2","2","1","3","3","1") = "3"
    & squares("2","3","2","2","1","3","3","2") = "3"
    & squares("2","3","2","2","1","3","3","3") = "3"
    & squares("2","3","2","2","2","1","1","1") = "3"
    & squares("2","3","2","2","2","1","1","2") = "3"
    & squares("2","3","2","2","2","1","1","3") = "3"
    & squares("2","3","2","2","2","1","2","1") = "3"
    & squares("2","3","2","2","2","1","2","2") = "3"
    & squares("2","3","2","2","2","1","2","3") = "3"
    & squares("2","3","2","2","2","1","3","1") = "3"
    & squares("2","3","2","2","2","1","3","2") = "3"
    & squares("2","3","2","2","2","1","3","3") = "3"
    & squares("2","3","2","2","2","2","1","1") = "3"
    & squares("2","3","2","2","2","2","1","2") = "3"
    & squares("2","3","2","2","2","2","1","3") = "3"
    & squares("2","3","2","2","2","2","2","1") = "3"
    & squares("2","3","2","2","2","2","2","2") = "3"
    & squares("2","3","2","2","2","2","2","3") = "3"
    & squares("2","3","2","2","2","2","3","1") = "3"
    & squares("2","3","2","2","2","2","3","2") = "3"
    & squares("2","3","2","2","2","2","3","3") = "3"
    & squares("2","3","2","2","2","3","1","1") = "3"
    & squares("2","3","2","2","2","3","1","2") = "3"
    & squares("2","3","2","2","2","3","1","3") = "3"
    & squares("2","3","2","2","2","3","2","1") = "3"
    & squares("2","3","2","2","2","3","2","2") = "3"
    & squares("2","3","2","2","2","3","2","3") = "3"
    & squares("2","3","2","2","2","3","3","1") = "3"
    & squares("2","3","2","2","2","3","3","2") = "3"
    & squares("2","3","2","2","2","3","3","3") = "3"
    & squares("2","3","2","2","3","1","1","1") = "3"
    & squares("2","3","2","2","3","1","1","2") = "3"
    & squares("2","3","2","2","3","1","1","3") = "3"
    & squares("2","3","2","2","3","1","2","1") = "3"
    & squares("2","3","2","2","3","1","2","2") = "3"
    & squares("2","3","2","2","3","1","2","3") = "3"
    & squares("2","3","2","2","3","1","3","1") = "3"
    & squares("2","3","2","2","3","1","3","2") = "3"
    & squares("2","3","2","2","3","1","3","3") = "3"
    & squares("2","3","2","2","3","2","1","1") = "3"
    & squares("2","3","2","2","3","2","1","2") = "3"
    & squares("2","3","2","2","3","2","1","3") = "3"
    & squares("2","3","2","2","3","2","2","1") = "3"
    & squares("2","3","2","2","3","2","2","2") = "3"
    & squares("2","3","2","2","3","2","2","3") = "3"
    & squares("2","3","2","2","3","2","3","1") = "3"
    & squares("2","3","2","2","3","2","3","2") = "3"
    & squares("2","3","2","2","3","2","3","3") = "3"
    & squares("2","3","2","2","3","3","1","1") = "3"
    & squares("2","3","2","2","3","3","1","2") = "3"
    & squares("2","3","2","2","3","3","1","3") = "3"
    & squares("2","3","2","2","3","3","2","1") = "3"
    & squares("2","3","2","2","3","3","2","2") = "3"
    & squares("2","3","2","2","3","3","2","3") = "3"
    & squares("2","3","2","2","3","3","3","1") = "3"
    & squares("2","3","2","2","3","3","3","2") = "3"
    & squares("2","3","2","2","3","3","3","3") = "3"
    & squares("2","3","2","3","1","1","1","1") = "3"
    & squares("2","3","2","3","1","1","1","2") = "3"
    & squares("2","3","2","3","1","1","1","3") = "3"
    & squares("2","3","2","3","1","1","2","1") = "3"
    & squares("2","3","2","3","1","1","2","2") = "3"
    & squares("2","3","2","3","1","1","2","3") = "3"
    & squares("2","3","2","3","1","1","3","1") = "3"
    & squares("2","3","2","3","1","1","3","2") = "3"
    & squares("2","3","2","3","1","1","3","3") = "3"
    & squares("2","3","2","3","1","2","1","1") = "3"
    & squares("2","3","2","3","1","2","1","2") = "3"
    & squares("2","3","2","3","1","2","1","3") = "3"
    & squares("2","3","2","3","1","2","2","1") = "3"
    & squares("2","3","2","3","1","2","2","2") = "3"
    & squares("2","3","2","3","1","2","2","3") = "3"
    & squares("2","3","2","3","1","2","3","1") = "3"
    & squares("2","3","2","3","1","2","3","2") = "3"
    & squares("2","3","2","3","1","2","3","3") = "3"
    & squares("2","3","2","3","1","3","1","1") = "3"
    & squares("2","3","2","3","1","3","1","2") = "3"
    & squares("2","3","2","3","1","3","1","3") = "3"
    & squares("2","3","2","3","1","3","2","1") = "3"
    & squares("2","3","2","3","1","3","2","2") = "3"
    & squares("2","3","2","3","1","3","2","3") = "3"
    & squares("2","3","2","3","1","3","3","1") = "3"
    & squares("2","3","2","3","1","3","3","2") = "3"
    & squares("2","3","2","3","1","3","3","3") = "3"
    & squares("2","3","2","3","2","1","1","1") = "3"
    & squares("2","3","2","3","2","1","1","2") = "3"
    & squares("2","3","2","3","2","1","1","3") = "3"
    & squares("2","3","2","3","2","1","2","1") = "3"
    & squares("2","3","2","3","2","1","2","2") = "3"
    & squares("2","3","2","3","2","1","2","3") = "3"
    & squares("2","3","2","3","2","1","3","1") = "3"
    & squares("2","3","2","3","2","1","3","2") = "3"
    & squares("2","3","2","3","2","1","3","3") = "3"
    & squares("2","3","2","3","2","2","1","1") = "3"
    & squares("2","3","2","3","2","2","1","2") = "3"
    & squares("2","3","2","3","2","2","1","3") = "3"
    & squares("2","3","2","3","2","2","2","1") = "3"
    & squares("2","3","2","3","2","2","2","2") = "3"
    & squares("2","3","2","3","2","2","2","3") = "3"
    & squares("2","3","2","3","2","2","3","1") = "3"
    & squares("2","3","2","3","2","2","3","2") = "3"
    & squares("2","3","2","3","2","2","3","3") = "3"
    & squares("2","3","2","3","2","3","1","1") = "3"
    & squares("2","3","2","3","2","3","1","2") = "3"
    & squares("2","3","2","3","2","3","1","3") = "3"
    & squares("2","3","2","3","2","3","2","1") = "3"
    & squares("2","3","2","3","2","3","2","2") = "3"
    & squares("2","3","2","3","2","3","2","3") = "3"
    & squares("2","3","2","3","2","3","3","1") = "3"
    & squares("2","3","2","3","2","3","3","2") = "3"
    & squares("2","3","2","3","2","3","3","3") = "3"
    & squares("2","3","2","3","3","1","1","1") = "3"
    & squares("2","3","2","3","3","1","1","2") = "3"
    & squares("2","3","2","3","3","1","1","3") = "3"
    & squares("2","3","2","3","3","1","2","1") = "3"
    & squares("2","3","2","3","3","1","2","2") = "3"
    & squares("2","3","2","3","3","1","2","3") = "3"
    & squares("2","3","2","3","3","1","3","1") = "3"
    & squares("2","3","2","3","3","1","3","2") = "3"
    & squares("2","3","2","3","3","1","3","3") = "3"
    & squares("2","3","2","3","3","2","1","1") = "3"
    & squares("2","3","2","3","3","2","1","2") = "3"
    & squares("2","3","2","3","3","2","1","3") = "3"
    & squares("2","3","2","3","3","2","2","1") = "3"
    & squares("2","3","2","3","3","2","2","2") = "3"
    & squares("2","3","2","3","3","2","2","3") = "3"
    & squares("2","3","2","3","3","2","3","1") = "3"
    & squares("2","3","2","3","3","2","3","2") = "3"
    & squares("2","3","2","3","3","2","3","3") = "3"
    & squares("2","3","2","3","3","3","1","1") = "3"
    & squares("2","3","2","3","3","3","1","2") = "3"
    & squares("2","3","2","3","3","3","1","3") = "3"
    & squares("2","3","2","3","3","3","2","1") = "3"
    & squares("2","3","2","3","3","3","2","2") = "3"
    & squares("2","3","2","3","3","3","2","3") = "3"
    & squares("2","3","2","3","3","3","3","1") = "3"
    & squares("2","3","2","3","3","3","3","2") = "3"
    & squares("2","3","2","3","3","3","3","3") = "3"
    & squares("2","3","3","1","1","1","1","1") = "3"
    & squares("2","3","3","1","1","1","1","2") = "3"
    & squares("2","3","3","1","1","1","1","3") = "3"
    & squares("2","3","3","1","1","1","2","1") = "3"
    & squares("2","3","3","1","1","1","2","2") = "3"
    & squares("2","3","3","1","1","1","2","3") = "3"
    & squares("2","3","3","1","1","1","3","1") = "3"
    & squares("2","3","3","1","1","1","3","2") = "3"
    & squares("2","3","3","1","1","1","3","3") = "3"
    & squares("2","3","3","1","1","2","1","1") = "3"
    & squares("2","3","3","1","1","2","1","2") = "3"
    & squares("2","3","3","1","1","2","1","3") = "3"
    & squares("2","3","3","1","1","2","2","1") = "3"
    & squares("2","3","3","1","1","2","2","2") = "3"
    & squares("2","3","3","1","1","2","2","3") = "3"
    & squares("2","3","3","1","1","2","3","1") = "3"
    & squares("2","3","3","1","1","2","3","2") = "3"
    & squares("2","3","3","1","1","2","3","3") = "3"
    & squares("2","3","3","1","1","3","1","1") = "3"
    & squares("2","3","3","1","1","3","1","2") = "3"
    & squares("2","3","3","1","1","3","1","3") = "3"
    & squares("2","3","3","1","1","3","2","1") = "3"
    & squares("2","3","3","1","1","3","2","2") = "3"
    & squares("2","3","3","1","1","3","2","3") = "3"
    & squares("2","3","3","1","1","3","3","1") = "3"
    & squares("2","3","3","1","1","3","3","2") = "3"
    & squares("2","3","3","1","1","3","3","3") = "3"
    & squares("2","3","3","1","2","1","1","1") = "3"
    & squares("2","3","3","1","2","1","1","2") = "3"
    & squares("2","3","3","1","2","1","1","3") = "3"
    & squares("2","3","3","1","2","1","2","1") = "3"
    & squares("2","3","3","1","2","1","2","2") = "3"
    & squares("2","3","3","1","2","1","2","3") = "3"
    & squares("2","3","3","1","2","1","3","1") = "3"
    & squares("2","3","3","1","2","1","3","2") = "3"
    & squares("2","3","3","1","2","1","3","3") = "3"
    & squares("2","3","3","1","2","2","1","1") = "3"
    & squares("2","3","3","1","2","2","1","2") = "3"
    & squares("2","3","3","1","2","2","1","3") = "3"
    & squares("2","3","3","1","2","2","2","1") = "3"
    & squares("2","3","3","1","2","2","2","2") = "3"
    & squares("2","3","3","1","2","2","2","3") = "3"
    & squares("2","3","3","1","2","2","3","1") = "3"
    & squares("2","3","3","1","2","2","3","2") = "3"
    & squares("2","3","3","1","2","2","3","3") = "3"
    & squares("2","3","3","1","2","3","1","1") = "3"
    & squares("2","3","3","1","2","3","1","2") = "3"
    & squares("2","3","3","1","2","3","1","3") = "3"
    & squares("2","3","3","1","2","3","2","1") = "3"
    & squares("2","3","3","1","2","3","2","2") = "3"
    & squares("2","3","3","1","2","3","2","3") = "3"
    & squares("2","3","3","1","2","3","3","1") = "3"
    & squares("2","3","3","1","2","3","3","2") = "3"
    & squares("2","3","3","1","2","3","3","3") = "3"
    & squares("2","3","3","1","3","1","1","1") = "3"
    & squares("2","3","3","1","3","1","1","2") = "3"
    & squares("2","3","3","1","3","1","1","3") = "3"
    & squares("2","3","3","1","3","1","2","1") = "3"
    & squares("2","3","3","1","3","1","2","2") = "3"
    & squares("2","3","3","1","3","1","2","3") = "3"
    & squares("2","3","3","1","3","1","3","1") = "3"
    & squares("2","3","3","1","3","1","3","2") = "3"
    & squares("2","3","3","1","3","1","3","3") = "3"
    & squares("2","3","3","1","3","2","1","1") = "3"
    & squares("2","3","3","1","3","2","1","2") = "3"
    & squares("2","3","3","1","3","2","1","3") = "3"
    & squares("2","3","3","1","3","2","2","1") = "3"
    & squares("2","3","3","1","3","2","2","2") = "3"
    & squares("2","3","3","1","3","2","2","3") = "3"
    & squares("2","3","3","1","3","2","3","1") = "3"
    & squares("2","3","3","1","3","2","3","2") = "3"
    & squares("2","3","3","1","3","2","3","3") = "3"
    & squares("2","3","3","1","3","3","1","1") = "3"
    & squares("2","3","3","1","3","3","1","2") = "3"
    & squares("2","3","3","1","3","3","1","3") = "3"
    & squares("2","3","3","1","3","3","2","1") = "3"
    & squares("2","3","3","1","3","3","2","2") = "3"
    & squares("2","3","3","1","3","3","2","3") = "3"
    & squares("2","3","3","1","3","3","3","1") = "3"
    & squares("2","3","3","1","3","3","3","2") = "3"
    & squares("2","3","3","1","3","3","3","3") = "3"
    & squares("2","3","3","2","1","1","1","1") = "3"
    & squares("2","3","3","2","1","1","1","2") = "3"
    & squares("2","3","3","2","1","1","1","3") = "3"
    & squares("2","3","3","2","1","1","2","1") = "3"
    & squares("2","3","3","2","1","1","2","2") = "3"
    & squares("2","3","3","2","1","1","2","3") = "3"
    & squares("2","3","3","2","1","1","3","1") = "3"
    & squares("2","3","3","2","1","1","3","2") = "3"
    & squares("2","3","3","2","1","1","3","3") = "3"
    & squares("2","3","3","2","1","2","1","1") = "3"
    & squares("2","3","3","2","1","2","1","2") = "3"
    & squares("2","3","3","2","1","2","1","3") = "3"
    & squares("2","3","3","2","1","2","2","1") = "3"
    & squares("2","3","3","2","1","2","2","2") = "3"
    & squares("2","3","3","2","1","2","2","3") = "3"
    & squares("2","3","3","2","1","2","3","1") = "3"
    & squares("2","3","3","2","1","2","3","2") = "3"
    & squares("2","3","3","2","1","2","3","3") = "3"
    & squares("2","3","3","2","1","3","1","1") = "3"
    & squares("2","3","3","2","1","3","1","2") = "3"
    & squares("2","3","3","2","1","3","1","3") = "3"
    & squares("2","3","3","2","1","3","2","1") = "3"
    & squares("2","3","3","2","1","3","2","2") = "3"
    & squares("2","3","3","2","1","3","2","3") = "3"
    & squares("2","3","3","2","1","3","3","1") = "3"
    & squares("2","3","3","2","1","3","3","2") = "3"
    & squares("2","3","3","2","1","3","3","3") = "3"
    & squares("2","3","3","2","2","1","1","1") = "3"
    & squares("2","3","3","2","2","1","1","2") = "3"
    & squares("2","3","3","2","2","1","1","3") = "3"
    & squares("2","3","3","2","2","1","2","1") = "3"
    & squares("2","3","3","2","2","1","2","2") = "3"
    & squares("2","3","3","2","2","1","2","3") = "3"
    & squares("2","3","3","2","2","1","3","1") = "3"
    & squares("2","3","3","2","2","1","3","2") = "3"
    & squares("2","3","3","2","2","1","3","3") = "3"
    & squares("2","3","3","2","2","2","1","1") = "3"
    & squares("2","3","3","2","2","2","1","2") = "3"
    & squares("2","3","3","2","2","2","1","3") = "3"
    & squares("2","3","3","2","2","2","2","1") = "3"
    & squares("2","3","3","2","2","2","2","2") = "3"
    & squares("2","3","3","2","2","2","2","3") = "3"
    & squares("2","3","3","2","2","2","3","1") = "3"
    & squares("2","3","3","2","2","2","3","2") = "3"
    & squares("2","3","3","2","2","2","3","3") = "3"
    & squares("2","3","3","2","2","3","1","1") = "3"
    & squares("2","3","3","2","2","3","1","2") = "3"
    & squares("2","3","3","2","2","3","1","3") = "3"
    & squares("2","3","3","2","2","3","2","1") = "3"
    & squares("2","3","3","2","2","3","2","2") = "3"
    & squares("2","3","3","2","2","3","2","3") = "3"
    & squares("2","3","3","2","2","3","3","1") = "3"
    & squares("2","3","3","2","2","3","3","2") = "3"
    & squares("2","3","3","2","2","3","3","3") = "3"
    & squares("2","3","3","2","3","1","1","1") = "3"
    & squares("2","3","3","2","3","1","1","2") = "3"
    & squares("2","3","3","2","3","1","1","3") = "3"
    & squares("2","3","3","2","3","1","2","1") = "3"
    & squares("2","3","3","2","3","1","2","2") = "3"
    & squares("2","3","3","2","3","1","2","3") = "3"
    & squares("2","3","3","2","3","1","3","1") = "3"
    & squares("2","3","3","2","3","1","3","2") = "3"
    & squares("2","3","3","2","3","1","3","3") = "3"
    & squares("2","3","3","2","3","2","1","1") = "3"
    & squares("2","3","3","2","3","2","1","2") = "3"
    & squares("2","3","3","2","3","2","1","3") = "3"
    & squares("2","3","3","2","3","2","2","1") = "3"
    & squares("2","3","3","2","3","2","2","2") = "3"
    & squares("2","3","3","2","3","2","2","3") = "3"
    & squares("2","3","3","2","3","2","3","1") = "3"
    & squares("2","3","3","2","3","2","3","2") = "3"
    & squares("2","3","3","2","3","2","3","3") = "3"
    & squares("2","3","3","2","3","3","1","1") = "3"
    & squares("2","3","3","2","3","3","1","2") = "3"
    & squares("2","3","3","2","3","3","1","3") = "3"
    & squares("2","3","3","2","3","3","2","1") = "3"
    & squares("2","3","3","2","3","3","2","2") = "3"
    & squares("2","3","3","2","3","3","2","3") = "3"
    & squares("2","3","3","2","3","3","3","1") = "3"
    & squares("2","3","3","2","3","3","3","2") = "3"
    & squares("2","3","3","2","3","3","3","3") = "3"
    & squares("2","3","3","3","1","1","1","1") = "3"
    & squares("2","3","3","3","1","1","1","2") = "3"
    & squares("2","3","3","3","1","1","1","3") = "3"
    & squares("2","3","3","3","1","1","2","1") = "3"
    & squares("2","3","3","3","1","1","2","2") = "3"
    & squares("2","3","3","3","1","1","2","3") = "3"
    & squares("2","3","3","3","1","1","3","1") = "3"
    & squares("2","3","3","3","1","1","3","2") = "3"
    & squares("2","3","3","3","1","1","3","3") = "3"
    & squares("2","3","3","3","1","2","1","1") = "3"
    & squares("2","3","3","3","1","2","1","2") = "3"
    & squares("2","3","3","3","1","2","1","3") = "3"
    & squares("2","3","3","3","1","2","2","1") = "3"
    & squares("2","3","3","3","1","2","2","2") = "3"
    & squares("2","3","3","3","1","2","2","3") = "3"
    & squares("2","3","3","3","1","2","3","1") = "3"
    & squares("2","3","3","3","1","2","3","2") = "3"
    & squares("2","3","3","3","1","2","3","3") = "3"
    & squares("2","3","3","3","1","3","1","1") = "3"
    & squares("2","3","3","3","1","3","1","2") = "3"
    & squares("2","3","3","3","1","3","1","3") = "3"
    & squares("2","3","3","3","1","3","2","1") = "3"
    & squares("2","3","3","3","1","3","2","2") = "3"
    & squares("2","3","3","3","1","3","2","3") = "3"
    & squares("2","3","3","3","1","3","3","1") = "3"
    & squares("2","3","3","3","1","3","3","2") = "3"
    & squares("2","3","3","3","1","3","3","3") = "3"
    & squares("2","3","3","3","2","1","1","1") = "3"
    & squares("2","3","3","3","2","1","1","2") = "3"
    & squares("2","3","3","3","2","1","1","3") = "3"
    & squares("2","3","3","3","2","1","2","1") = "3"
    & squares("2","3","3","3","2","1","2","2") = "3"
    & squares("2","3","3","3","2","1","2","3") = "3"
    & squares("2","3","3","3","2","1","3","1") = "3"
    & squares("2","3","3","3","2","1","3","2") = "3"
    & squares("2","3","3","3","2","1","3","3") = "3"
    & squares("2","3","3","3","2","2","1","1") = "3"
    & squares("2","3","3","3","2","2","1","2") = "3"
    & squares("2","3","3","3","2","2","1","3") = "3"
    & squares("2","3","3","3","2","2","2","1") = "3"
    & squares("2","3","3","3","2","2","2","2") = "3"
    & squares("2","3","3","3","2","2","2","3") = "3"
    & squares("2","3","3","3","2","2","3","1") = "3"
    & squares("2","3","3","3","2","2","3","2") = "3"
    & squares("2","3","3","3","2","2","3","3") = "3"
    & squares("2","3","3","3","2","3","1","1") = "3"
    & squares("2","3","3","3","2","3","1","2") = "3"
    & squares("2","3","3","3","2","3","1","3") = "3"
    & squares("2","3","3","3","2","3","2","1") = "3"
    & squares("2","3","3","3","2","3","2","2") = "3"
    & squares("2","3","3","3","2","3","2","3") = "3"
    & squares("2","3","3","3","2","3","3","1") = "3"
    & squares("2","3","3","3","2","3","3","2") = "3"
    & squares("2","3","3","3","2","3","3","3") = "3"
    & squares("2","3","3","3","3","1","1","1") = "3"
    & squares("2","3","3","3","3","1","1","2") = "3"
    & squares("2","3","3","3","3","1","1","3") = "3"
    & squares("2","3","3","3","3","1","2","1") = "3"
    & squares("2","3","3","3","3","1","2","2") = "3"
    & squares("2","3","3","3","3","1","2","3") = "3"
    & squares("2","3","3","3","3","1","3","1") = "3"
    & squares("2","3","3","3","3","1","3","2") = "3"
    & squares("2","3","3","3","3","1","3","3") = "3"
    & squares("2","3","3","3","3","2","1","1") = "3"
    & squares("2","3","3","3","3","2","1","2") = "3"
    & squares("2","3","3","3","3","2","1","3") = "3"
    & squares("2","3","3","3","3","2","2","1") = "3"
    & squares("2","3","3","3","3","2","2","2") = "3"
    & squares("2","3","3","3","3","2","2","3") = "3"
    & squares("2","3","3","3","3","2","3","1") = "3"
    & squares("2","3","3","3","3","2","3","2") = "3"
    & squares("2","3","3","3","3","2","3","3") = "3"
    & squares("2","3","3","3","3","3","1","1") = "3"
    & squares("2","3","3","3","3","3","1","2") = "3"
    & squares("2","3","3","3","3","3","1","3") = "3"
    & squares("2","3","3","3","3","3","2","1") = "3"
    & squares("2","3","3","3","3","3","2","2") = "3"
    & squares("2","3","3","3","3","3","2","3") = "3"
    & squares("2","3","3","3","3","3","3","1") = "3"
    & squares("2","3","3","3","3","3","3","2") = "3"
    & squares("2","3","3","3","3","3","3","3") = "3"
    & squares("3","1","1","1","1","1","1","1") = "3"
    & squares("3","1","1","1","1","1","1","2") = "3"
    & squares("3","1","1","1","1","1","1","3") = "3"
    & squares("3","1","1","1","1","1","2","1") = "3"
    & squares("3","1","1","1","1","1","2","2") = "3"
    & squares("3","1","1","1","1","1","2","3") = "3"
    & squares("3","1","1","1","1","1","3","1") = "3"
    & squares("3","1","1","1","1","1","3","2") = "3"
    & squares("3","1","1","1","1","1","3","3") = "3"
    & squares("3","1","1","1","1","2","1","1") = "3"
    & squares("3","1","1","1","1","2","1","2") = "3"
    & squares("3","1","1","1","1","2","1","3") = "3"
    & squares("3","1","1","1","1","2","2","1") = "3"
    & squares("3","1","1","1","1","2","2","2") = "3"
    & squares("3","1","1","1","1","2","2","3") = "3"
    & squares("3","1","1","1","1","2","3","1") = "3"
    & squares("3","1","1","1","1","2","3","2") = "3"
    & squares("3","1","1","1","1","2","3","3") = "3"
    & squares("3","1","1","1","1","3","1","1") = "3"
    & squares("3","1","1","1","1","3","1","2") = "3"
    & squares("3","1","1","1","1","3","1","3") = "3"
    & squares("3","1","1","1","1","3","2","1") = "3"
    & squares("3","1","1","1","1","3","2","2") = "3"
    & squares("3","1","1","1","1","3","2","3") = "3"
    & squares("3","1","1","1","1","3","3","1") = "3"
    & squares("3","1","1","1","1","3","3","2") = "3"
    & squares("3","1","1","1","1","3","3","3") = "3"
    & squares("3","1","1","1","2","1","1","1") = "3"
    & squares("3","1","1","1","2","1","1","2") = "3"
    & squares("3","1","1","1","2","1","1","3") = "3"
    & squares("3","1","1","1","2","1","2","1") = "3"
    & squares("3","1","1","1","2","1","2","2") = "3"
    & squares("3","1","1","1","2","1","2","3") = "3"
    & squares("3","1","1","1","2","1","3","1") = "3"
    & squares("3","1","1","1","2","1","3","2") = "3"
    & squares("3","1","1","1","2","1","3","3") = "3"
    & squares("3","1","1","1","2","2","1","1") = "3"
    & squares("3","1","1","1","2","2","1","2") = "3"
    & squares("3","1","1","1","2","2","1","3") = "3"
    & squares("3","1","1","1","2","2","2","1") = "3"
    & squares("3","1","1","1","2","2","2","2") = "3"
    & squares("3","1","1","1","2","2","2","3") = "3"
    & squares("3","1","1","1","2","2","3","1") = "3"
    & squares("3","1","1","1","2","2","3","2") = "3"
    & squares("3","1","1","1","2","2","3","3") = "3"
    & squares("3","1","1","1","2","3","1","1") = "3"
    & squares("3","1","1","1","2","3","1","2") = "3"
    & squares("3","1","1","1","2","3","1","3") = "3"
    & squares("3","1","1","1","2","3","2","1") = "3"
    & squares("3","1","1","1","2","3","2","2") = "3"
    & squares("3","1","1","1","2","3","2","3") = "3"
    & squares("3","1","1","1","2","3","3","1") = "3"
    & squares("3","1","1","1","2","3","3","2") = "3"
    & squares("3","1","1","1","2","3","3","3") = "3"
    & squares("3","1","1","1","3","1","1","1") = "3"
    & squares("3","1","1","1","3","1","1","2") = "3"
    & squares("3","1","1","1","3","1","1","3") = "3"
    & squares("3","1","1","1","3","1","2","1") = "3"
    & squares("3","1","1","1","3","1","2","2") = "3"
    & squares("3","1","1","1","3","1","2","3") = "3"
    & squares("3","1","1","1","3","1","3","1") = "3"
    & squares("3","1","1","1","3","1","3","2") = "3"
    & squares("3","1","1","1","3","1","3","3") = "3"
    & squares("3","1","1","1","3","2","1","1") = "3"
    & squares("3","1","1","1","3","2","1","2") = "3"
    & squares("3","1","1","1","3","2","1","3") = "3"
    & squares("3","1","1","1","3","2","2","1") = "3"
    & squares("3","1","1","1","3","2","2","2") = "3"
    & squares("3","1","1","1","3","2","2","3") = "3"
    & squares("3","1","1","1","3","2","3","1") = "3"
    & squares("3","1","1","1","3","2","3","2") = "3"
    & squares("3","1","1","1","3","2","3","3") = "3"
    & squares("3","1","1","1","3","3","1","1") = "3"
    & squares("3","1","1","1","3","3","1","2") = "3"
    & squares("3","1","1","1","3","3","1","3") = "3"
    & squares("3","1","1","1","3","3","2","1") = "3"
    & squares("3","1","1","1","3","3","2","2") = "3"
    & squares("3","1","1","1","3","3","2","3") = "3"
    & squares("3","1","1","1","3","3","3","1") = "3"
    & squares("3","1","1","1","3","3","3","2") = "3"
    & squares("3","1","1","1","3","3","3","3") = "3"
    & squares("3","1","1","2","1","1","1","1") = "3"
    & squares("3","1","1","2","1","1","1","2") = "3"
    & squares("3","1","1","2","1","1","1","3") = "3"
    & squares("3","1","1","2","1","1","2","1") = "3"
    & squares("3","1","1","2","1","1","2","2") = "3"
    & squares("3","1","1","2","1","1","2","3") = "3"
    & squares("3","1","1","2","1","1","3","1") = "3"
    & squares("3","1","1","2","1","1","3","2") = "3"
    & squares("3","1","1","2","1","1","3","3") = "3"
    & squares("3","1","1","2","1","2","1","1") = "3"
    & squares("3","1","1","2","1","2","1","2") = "3"
    & squares("3","1","1","2","1","2","1","3") = "3"
    & squares("3","1","1","2","1","2","2","1") = "3"
    & squares("3","1","1","2","1","2","2","2") = "3"
    & squares("3","1","1","2","1","2","2","3") = "3"
    & squares("3","1","1","2","1","2","3","1") = "3"
    & squares("3","1","1","2","1","2","3","2") = "3"
    & squares("3","1","1","2","1","2","3","3") = "3"
    & squares("3","1","1","2","1","3","1","1") = "3"
    & squares("3","1","1","2","1","3","1","2") = "3"
    & squares("3","1","1","2","1","3","1","3") = "3"
    & squares("3","1","1","2","1","3","2","1") = "3"
    & squares("3","1","1","2","1","3","2","2") = "3"
    & squares("3","1","1","2","1","3","2","3") = "3"
    & squares("3","1","1","2","1","3","3","1") = "3"
    & squares("3","1","1","2","1","3","3","2") = "3"
    & squares("3","1","1","2","1","3","3","3") = "3"
    & squares("3","1","1","2","2","1","1","1") = "3"
    & squares("3","1","1","2","2","1","1","2") = "3"
    & squares("3","1","1","2","2","1","1","3") = "3"
    & squares("3","1","1","2","2","1","2","1") = "3"
    & squares("3","1","1","2","2","1","2","2") = "3"
    & squares("3","1","1","2","2","1","2","3") = "3"
    & squares("3","1","1","2","2","1","3","1") = "3"
    & squares("3","1","1","2","2","1","3","2") = "3"
    & squares("3","1","1","2","2","1","3","3") = "3"
    & squares("3","1","1","2","2","2","1","1") = "3"
    & squares("3","1","1","2","2","2","1","2") = "3"
    & squares("3","1","1","2","2","2","1","3") = "3"
    & squares("3","1","1","2","2","2","2","1") = "3"
    & squares("3","1","1","2","2","2","2","2") = "3"
    & squares("3","1","1","2","2","2","2","3") = "3"
    & squares("3","1","1","2","2","2","3","1") = "3"
    & squares("3","1","1","2","2","2","3","2") = "3"
    & squares("3","1","1","2","2","2","3","3") = "3"
    & squares("3","1","1","2","2","3","1","1") = "3"
    & squares("3","1","1","2","2","3","1","2") = "3"
    & squares("3","1","1","2","2","3","1","3") = "3"
    & squares("3","1","1","2","2","3","2","1") = "3"
    & squares("3","1","1","2","2","3","2","2") = "3"
    & squares("3","1","1","2","2","3","2","3") = "3"
    & squares("3","1","1","2","2","3","3","1") = "3"
    & squares("3","1","1","2","2","3","3","2") = "3"
    & squares("3","1","1","2","2","3","3","3") = "3"
    & squares("3","1","1","2","3","1","1","1") = "3"
    & squares("3","1","1","2","3","1","1","2") = "3"
    & squares("3","1","1","2","3","1","1","3") = "3"
    & squares("3","1","1","2","3","1","2","1") = "3"
    & squares("3","1","1","2","3","1","2","2") = "3"
    & squares("3","1","1","2","3","1","2","3") = "3"
    & squares("3","1","1","2","3","1","3","1") = "3"
    & squares("3","1","1","2","3","1","3","2") = "3"
    & squares("3","1","1","2","3","1","3","3") = "3"
    & squares("3","1","1","2","3","2","1","1") = "3"
    & squares("3","1","1","2","3","2","1","2") = "3"
    & squares("3","1","1","2","3","2","1","3") = "3"
    & squares("3","1","1","2","3","2","2","1") = "3"
    & squares("3","1","1","2","3","2","2","2") = "3"
    & squares("3","1","1","2","3","2","2","3") = "3"
    & squares("3","1","1","2","3","2","3","1") = "3"
    & squares("3","1","1","2","3","2","3","2") = "3"
    & squares("3","1","1","2","3","2","3","3") = "3"
    & squares("3","1","1","2","3","3","1","1") = "3"
    & squares("3","1","1","2","3","3","1","2") = "3"
    & squares("3","1","1","2","3","3","1","3") = "3"
    & squares("3","1","1","2","3","3","2","1") = "3"
    & squares("3","1","1","2","3","3","2","2") = "3"
    & squares("3","1","1","2","3","3","2","3") = "3"
    & squares("3","1","1","2","3","3","3","1") = "3"
    & squares("3","1","1","2","3","3","3","2") = "3"
    & squares("3","1","1","2","3","3","3","3") = "3"
    & squares("3","1","1","3","1","1","1","1") = "3"
    & squares("3","1","1","3","1","1","1","2") = "3"
    & squares("3","1","1","3","1","1","1","3") = "3"
    & squares("3","1","1","3","1","1","2","1") = "3"
    & squares("3","1","1","3","1","1","2","2") = "3"
    & squares("3","1","1","3","1","1","2","3") = "3"
    & squares("3","1","1","3","1","1","3","1") = "3"
    & squares("3","1","1","3","1","1","3","2") = "3"
    & squares("3","1","1","3","1","1","3","3") = "3"
    & squares("3","1","1","3","1","2","1","1") = "3"
    & squares("3","1","1","3","1","2","1","2") = "3"
    & squares("3","1","1","3","1","2","1","3") = "3"
    & squares("3","1","1","3","1","2","2","1") = "3"
    & squares("3","1","1","3","1","2","2","2") = "3"
    & squares("3","1","1","3","1","2","2","3") = "3"
    & squares("3","1","1","3","1","2","3","1") = "3"
    & squares("3","1","1","3","1","2","3","2") = "3"
    & squares("3","1","1","3","1","2","3","3") = "3"
    & squares("3","1","1","3","1","3","1","1") = "3"
    & squares("3","1","1","3","1","3","1","2") = "3"
    & squares("3","1","1","3","1","3","1","3") = "3"
    & squares("3","1","1","3","1","3","2","1") = "3"
    & squares("3","1","1","3","1","3","2","2") = "3"
    & squares("3","1","1","3","1","3","2","3") = "3"
    & squares("3","1","1","3","1","3","3","1") = "3"
    & squares("3","1","1","3","1","3","3","2") = "3"
    & squares("3","1","1","3","1","3","3","3") = "3"
    & squares("3","1","1","3","2","1","1","1") = "3"
    & squares("3","1","1","3","2","1","1","2") = "3"
    & squares("3","1","1","3","2","1","1","3") = "3"
    & squares("3","1","1","3","2","1","2","1") = "3"
    & squares("3","1","1","3","2","1","2","2") = "3"
    & squares("3","1","1","3","2","1","2","3") = "3"
    & squares("3","1","1","3","2","1","3","1") = "3"
    & squares("3","1","1","3","2","1","3","2") = "3"
    & squares("3","1","1","3","2","1","3","3") = "3"
    & squares("3","1","1","3","2","2","1","1") = "3"
    & squares("3","1","1","3","2","2","1","2") = "3"
    & squares("3","1","1","3","2","2","1","3") = "3"
    & squares("3","1","1","3","2","2","2","1") = "3"
    & squares("3","1","1","3","2","2","2","2") = "3"
    & squares("3","1","1","3","2","2","2","3") = "3"
    & squares("3","1","1","3","2","2","3","1") = "3"
    & squares("3","1","1","3","2","2","3","2") = "3"
    & squares("3","1","1","3","2","2","3","3") = "3"
    & squares("3","1","1","3","2","3","1","1") = "3"
    & squares("3","1","1","3","2","3","1","2") = "3"
    & squares("3","1","1","3","2","3","1","3") = "3"
    & squares("3","1","1","3","2","3","2","1") = "3"
    & squares("3","1","1","3","2","3","2","2") = "3"
    & squares("3","1","1","3","2","3","2","3") = "3"
    & squares("3","1","1","3","2","3","3","1") = "3"
    & squares("3","1","1","3","2","3","3","2") = "3"
    & squares("3","1","1","3","2","3","3","3") = "3"
    & squares("3","1","1","3","3","1","1","1") = "3"
    & squares("3","1","1","3","3","1","1","2") = "3"
    & squares("3","1","1","3","3","1","1","3") = "3"
    & squares("3","1","1","3","3","1","2","1") = "3"
    & squares("3","1","1","3","3","1","2","2") = "3"
    & squares("3","1","1","3","3","1","2","3") = "3"
    & squares("3","1","1","3","3","1","3","1") = "3"
    & squares("3","1","1","3","3","1","3","2") = "3"
    & squares("3","1","1","3","3","1","3","3") = "3"
    & squares("3","1","1","3","3","2","1","1") = "3"
    & squares("3","1","1","3","3","2","1","2") = "3"
    & squares("3","1","1","3","3","2","1","3") = "3"
    & squares("3","1","1","3","3","2","2","1") = "3"
    & squares("3","1","1","3","3","2","2","2") = "3"
    & squares("3","1","1","3","3","2","2","3") = "3"
    & squares("3","1","1","3","3","2","3","1") = "3"
    & squares("3","1","1","3","3","2","3","2") = "3"
    & squares("3","1","1","3","3","2","3","3") = "3"
    & squares("3","1","1","3","3","3","1","1") = "3"
    & squares("3","1","1","3","3","3","1","2") = "3"
    & squares("3","1","1","3","3","3","1","3") = "3"
    & squares("3","1","1","3","3","3","2","1") = "3"
    & squares("3","1","1","3","3","3","2","2") = "3"
    & squares("3","1","1","3","3","3","2","3") = "3"
    & squares("3","1","1","3","3","3","3","1") = "3"
    & squares("3","1","1","3","3","3","3","2") = "3"
    & squares("3","1","1","3","3","3","3","3") = "3"
    & squares("3","1","2","1","1","1","1","1") = "3"
    & squares("3","1","2","1","1","1","1","2") = "3"
    & squares("3","1","2","1","1","1","1","3") = "3"
    & squares("3","1","2","1","1","1","2","1") = "3"
    & squares("3","1","2","1","1","1","2","2") = "3"
    & squares("3","1","2","1","1","1","2","3") = "3"
    & squares("3","1","2","1","1","1","3","1") = "3"
    & squares("3","1","2","1","1","1","3","2") = "3"
    & squares("3","1","2","1","1","1","3","3") = "3"
    & squares("3","1","2","1","1","2","1","1") = "3"
    & squares("3","1","2","1","1","2","1","2") = "3"
    & squares("3","1","2","1","1","2","1","3") = "3"
    & squares("3","1","2","1","1","2","2","1") = "3"
    & squares("3","1","2","1","1","2","2","2") = "3"
    & squares("3","1","2","1","1","2","2","3") = "3"
    & squares("3","1","2","1","1","2","3","1") = "3"
    & squares("3","1","2","1","1","2","3","2") = "3"
    & squares("3","1","2","1","1","2","3","3") = "3"
    & squares("3","1","2","1","1","3","1","1") = "3"
    & squares("3","1","2","1","1","3","1","2") = "3"
    & squares("3","1","2","1","1","3","1","3") = "3"
    & squares("3","1","2","1","1","3","2","1") = "3"
    & squares("3","1","2","1","1","3","2","2") = "3"
    & squares("3","1","2","1","1","3","2","3") = "3"
    & squares("3","1","2","1","1","3","3","1") = "3"
    & squares("3","1","2","1","1","3","3","2") = "3"
    & squares("3","1","2","1","1","3","3","3") = "3"
    & squares("3","1","2","1","2","1","1","1") = "3"
    & squares("3","1","2","1","2","1","1","2") = "3"
    & squares("3","1","2","1","2","1","1","3") = "3"
    & squares("3","1","2","1","2","1","2","1") = "3"
    & squares("3","1","2","1","2","1","2","2") = "3"
    & squares("3","1","2","1","2","1","2","3") = "3"
    & squares("3","1","2","1","2","1","3","1") = "3"
    & squares("3","1","2","1","2","1","3","2") = "3"
    & squares("3","1","2","1","2","1","3","3") = "3"
    & squares("3","1","2","1","2","2","1","1") = "3"
    & squares("3","1","2","1","2","2","1","2") = "3"
    & squares("3","1","2","1","2","2","1","3") = "3"
    & squares("3","1","2","1","2","2","2","1") = "3"
    & squares("3","1","2","1","2","2","2","2") = "3"
    & squares("3","1","2","1","2","2","2","3") = "3"
    & squares("3","1","2","1","2","2","3","1") = "3"
    & squares("3","1","2","1","2","2","3","2") = "3"
    & squares("3","1","2","1","2","2","3","3") = "3"
    & squares("3","1","2","1","2","3","1","1") = "3"
    & squares("3","1","2","1","2","3","1","2") = "3"
    & squares("3","1","2","1","2","3","1","3") = "3"
    & squares("3","1","2","1","2","3","2","1") = "3"
    & squares("3","1","2","1","2","3","2","2") = "3"
    & squares("3","1","2","1","2","3","2","3") = "3"
    & squares("3","1","2","1","2","3","3","1") = "3"
    & squares("3","1","2","1","2","3","3","2") = "3"
    & squares("3","1","2","1","2","3","3","3") = "3"
    & squares("3","1","2","1","3","1","1","1") = "3"
    & squares("3","1","2","1","3","1","1","2") = "3"
    & squares("3","1","2","1","3","1","1","3") = "3"
    & squares("3","1","2","1","3","1","2","1") = "3"
    & squares("3","1","2","1","3","1","2","2") = "3"
    & squares("3","1","2","1","3","1","2","3") = "3"
    & squares("3","1","2","1","3","1","3","1") = "3"
    & squares("3","1","2","1","3","1","3","2") = "3"
    & squares("3","1","2","1","3","1","3","3") = "3"
    & squares("3","1","2","1","3","2","1","1") = "3"
    & squares("3","1","2","1","3","2","1","2") = "3"
    & squares("3","1","2","1","3","2","1","3") = "3"
    & squares("3","1","2","1","3","2","2","1") = "3"
    & squares("3","1","2","1","3","2","2","2") = "3"
    & squares("3","1","2","1","3","2","2","3") = "3"
    & squares("3","1","2","1","3","2","3","1") = "3"
    & squares("3","1","2","1","3","2","3","2") = "3"
    & squares("3","1","2","1","3","2","3","3") = "3"
    & squares("3","1","2","1","3","3","1","1") = "3"
    & squares("3","1","2","1","3","3","1","2") = "3"
    & squares("3","1","2","1","3","3","1","3") = "3"
    & squares("3","1","2","1","3","3","2","1") = "3"
    & squares("3","1","2","1","3","3","2","2") = "3"
    & squares("3","1","2","1","3","3","2","3") = "3"
    & squares("3","1","2","1","3","3","3","1") = "3"
    & squares("3","1","2","1","3","3","3","2") = "3"
    & squares("3","1","2","1","3","3","3","3") = "3"
    & squares("3","1","2","2","1","1","1","1") = "3"
    & squares("3","1","2","2","1","1","1","2") = "3"
    & squares("3","1","2","2","1","1","1","3") = "3"
    & squares("3","1","2","2","1","1","2","1") = "3"
    & squares("3","1","2","2","1","1","2","2") = "3"
    & squares("3","1","2","2","1","1","2","3") = "3"
    & squares("3","1","2","2","1","1","3","1") = "3"
    & squares("3","1","2","2","1","1","3","2") = "3"
    & squares("3","1","2","2","1","1","3","3") = "3"
    & squares("3","1","2","2","1","2","1","1") = "3"
    & squares("3","1","2","2","1","2","1","2") = "3"
    & squares("3","1","2","2","1","2","1","3") = "3"
    & squares("3","1","2","2","1","2","2","1") = "3"
    & squares("3","1","2","2","1","2","2","2") = "3"
    & squares("3","1","2","2","1","2","2","3") = "3"
    & squares("3","1","2","2","1","2","3","1") = "3"
    & squares("3","1","2","2","1","2","3","2") = "3"
    & squares("3","1","2","2","1","2","3","3") = "3"
    & squares("3","1","2","2","1","3","1","1") = "3"
    & squares("3","1","2","2","1","3","1","2") = "3"
    & squares("3","1","2","2","1","3","1","3") = "3"
    & squares("3","1","2","2","1","3","2","1") = "3"
    & squares("3","1","2","2","1","3","2","2") = "3"
    & squares("3","1","2","2","1","3","2","3") = "3"
    & squares("3","1","2","2","1","3","3","1") = "3"
    & squares("3","1","2","2","1","3","3","2") = "3"
    & squares("3","1","2","2","1","3","3","3") = "3"
    & squares("3","1","2","2","2","1","1","1") = "3"
    & squares("3","1","2","2","2","1","1","2") = "3"
    & squares("3","1","2","2","2","1","1","3") = "3"
    & squares("3","1","2","2","2","1","2","1") = "3"
    & squares("3","1","2","2","2","1","2","2") = "3"
    & squares("3","1","2","2","2","1","2","3") = "3"
    & squares("3","1","2","2","2","1","3","1") = "3"
    & squares("3","1","2","2","2","1","3","2") = "3"
    & squares("3","1","2","2","2","1","3","3") = "3"
    & squares("3","1","2","2","2","2","1","1") = "3"
    & squares("3","1","2","2","2","2","1","2") = "3"
    & squares("3","1","2","2","2","2","1","3") = "3"
    & squares("3","1","2","2","2","2","2","1") = "3"
    & squares("3","1","2","2","2","2","2","2") = "3"
    & squares("3","1","2","2","2","2","2","3") = "3"
    & squares("3","1","2","2","2","2","3","1") = "3"
    & squares("3","1","2","2","2","2","3","2") = "3"
    & squares("3","1","2","2","2","2","3","3") = "3"
    & squares("3","1","2","2","2","3","1","1") = "3"
    & squares("3","1","2","2","2","3","1","2") = "3"
    & squares("3","1","2","2","2","3","1","3") = "3"
    & squares("3","1","2","2","2","3","2","1") = "3"
    & squares("3","1","2","2","2","3","2","2") = "3"
    & squares("3","1","2","2","2","3","2","3") = "3"
    & squares("3","1","2","2","2","3","3","1") = "3"
    & squares("3","1","2","2","2","3","3","2") = "3"
    & squares("3","1","2","2","2","3","3","3") = "3"
    & squares("3","1","2","2","3","1","1","1") = "3"
    & squares("3","1","2","2","3","1","1","2") = "3"
    & squares("3","1","2","2","3","1","1","3") = "3"
    & squares("3","1","2","2","3","1","2","1") = "3"
    & squares("3","1","2","2","3","1","2","2") = "3"
    & squares("3","1","2","2","3","1","2","3") = "3"
    & squares("3","1","2","2","3","1","3","1") = "3"
    & squares("3","1","2","2","3","1","3","2") = "3"
    & squares("3","1","2","2","3","1","3","3") = "3"
    & squares("3","1","2","2","3","2","1","1") = "3"
    & squares("3","1","2","2","3","2","1","2") = "3"
    & squares("3","1","2","2","3","2","1","3") = "3"
    & squares("3","1","2","2","3","2","2","1") = "3"
    & squares("3","1","2","2","3","2","2","2") = "3"
    & squares("3","1","2","2","3","2","2","3") = "3"
    & squares("3","1","2","2","3","2","3","1") = "3"
    & squares("3","1","2","2","3","2","3","2") = "3"
    & squares("3","1","2","2","3","2","3","3") = "3"
    & squares("3","1","2","2","3","3","1","1") = "3"
    & squares("3","1","2","2","3","3","1","2") = "3"
    & squares("3","1","2","2","3","3","1","3") = "3"
    & squares("3","1","2","2","3","3","2","1") = "3"
    & squares("3","1","2","2","3","3","2","2") = "3"
    & squares("3","1","2","2","3","3","2","3") = "3"
    & squares("3","1","2","2","3","3","3","1") = "3"
    & squares("3","1","2","2","3","3","3","2") = "3"
    & squares("3","1","2","2","3","3","3","3") = "3"
    & squares("3","1","2","3","1","1","1","1") = "3"
    & squares("3","1","2","3","1","1","1","2") = "3"
    & squares("3","1","2","3","1","1","1","3") = "3"
    & squares("3","1","2","3","1","1","2","1") = "3"
    & squares("3","1","2","3","1","1","2","2") = "3"
    & squares("3","1","2","3","1","1","2","3") = "3"
    & squares("3","1","2","3","1","1","3","1") = "3"
    & squares("3","1","2","3","1","1","3","2") = "3"
    & squares("3","1","2","3","1","1","3","3") = "3"
    & squares("3","1","2","3","1","2","1","1") = "3"
    & squares("3","1","2","3","1","2","1","2") = "3"
    & squares("3","1","2","3","1","2","1","3") = "3"
    & squares("3","1","2","3","1","2","2","1") = "3"
    & squares("3","1","2","3","1","2","2","2") = "3"
    & squares("3","1","2","3","1","2","2","3") = "3"
    & squares("3","1","2","3","1","2","3","1") = "3"
    & squares("3","1","2","3","1","2","3","2") = "3"
    & squares("3","1","2","3","1","2","3","3") = "3"
    & squares("3","1","2","3","1","3","1","1") = "3"
    & squares("3","1","2","3","1","3","1","2") = "3"
    & squares("3","1","2","3","1","3","1","3") = "3"
    & squares("3","1","2","3","1","3","2","1") = "3"
    & squares("3","1","2","3","1","3","2","2") = "3"
    & squares("3","1","2","3","1","3","2","3") = "3"
    & squares("3","1","2","3","1","3","3","1") = "3"
    & squares("3","1","2","3","1","3","3","2") = "3"
    & squares("3","1","2","3","1","3","3","3") = "3"
    & squares("3","1","2","3","2","1","1","1") = "3"
    & squares("3","1","2","3","2","1","1","2") = "3"
    & squares("3","1","2","3","2","1","1","3") = "3"
    & squares("3","1","2","3","2","1","2","1") = "3"
    & squares("3","1","2","3","2","1","2","2") = "3"
    & squares("3","1","2","3","2","1","2","3") = "3"
    & squares("3","1","2","3","2","1","3","1") = "3"
    & squares("3","1","2","3","2","1","3","2") = "3"
    & squares("3","1","2","3","2","1","3","3") = "3"
    & squares("3","1","2","3","2","2","1","1") = "3"
    & squares("3","1","2","3","2","2","1","2") = "3"
    & squares("3","1","2","3","2","2","1","3") = "3"
    & squares("3","1","2","3","2","2","2","1") = "3"
    & squares("3","1","2","3","2","2","2","2") = "3"
    & squares("3","1","2","3","2","2","2","3") = "3"
    & squares("3","1","2","3","2","2","3","1") = "3"
    & squares("3","1","2","3","2","2","3","2") = "3"
    & squares("3","1","2","3","2","2","3","3") = "3"
    & squares("3","1","2","3","2","3","1","1") = "3"
    & squares("3","1","2","3","2","3","1","2") = "3"
    & squares("3","1","2","3","2","3","1","3") = "3"
    & squares("3","1","2","3","2","3","2","1") = "3"
    & squares("3","1","2","3","2","3","2","2") = "3"
    & squares("3","1","2","3","2","3","2","3") = "3"
    & squares("3","1","2","3","2","3","3","1") = "3"
    & squares("3","1","2","3","2","3","3","2") = "3"
    & squares("3","1","2","3","2","3","3","3") = "3"
    & squares("3","1","2","3","3","1","1","1") = "3"
    & squares("3","1","2","3","3","1","1","2") = "3"
    & squares("3","1","2","3","3","1","1","3") = "3"
    & squares("3","1","2","3","3","1","2","1") = "3"
    & squares("3","1","2","3","3","1","2","2") = "3"
    & squares("3","1","2","3","3","1","2","3") = "3"
    & squares("3","1","2","3","3","1","3","1") = "3"
    & squares("3","1","2","3","3","1","3","2") = "3"
    & squares("3","1","2","3","3","1","3","3") = "3"
    & squares("3","1","2","3","3","2","1","1") = "3"
    & squares("3","1","2","3","3","2","1","2") = "3"
    & squares("3","1","2","3","3","2","1","3") = "3"
    & squares("3","1","2","3","3","2","2","1") = "3"
    & squares("3","1","2","3","3","2","2","2") = "3"
    & squares("3","1","2","3","3","2","2","3") = "3"
    & squares("3","1","2","3","3","2","3","1") = "3"
    & squares("3","1","2","3","3","2","3","2") = "3"
    & squares("3","1","2","3","3","2","3","3") = "3"
    & squares("3","1","2","3","3","3","1","1") = "3"
    & squares("3","1","2","3","3","3","1","2") = "3"
    & squares("3","1","2","3","3","3","1","3") = "3"
    & squares("3","1","2","3","3","3","2","1") = "3"
    & squares("3","1","2","3","3","3","2","2") = "3"
    & squares("3","1","2","3","3","3","2","3") = "3"
    & squares("3","1","2","3","3","3","3","1") = "3"
    & squares("3","1","2","3","3","3","3","2") = "3"
    & squares("3","1","2","3","3","3","3","3") = "3"
    & squares("3","1","3","1","1","1","1","1") = "3"
    & squares("3","1","3","1","1","1","1","2") = "3"
    & squares("3","1","3","1","1","1","1","3") = "3"
    & squares("3","1","3","1","1","1","2","1") = "3"
    & squares("3","1","3","1","1","1","2","2") = "3"
    & squares("3","1","3","1","1","1","2","3") = "3"
    & squares("3","1","3","1","1","1","3","1") = "3"
    & squares("3","1","3","1","1","1","3","2") = "3"
    & squares("3","1","3","1","1","1","3","3") = "3"
    & squares("3","1","3","1","1","2","1","1") = "3"
    & squares("3","1","3","1","1","2","1","2") = "3"
    & squares("3","1","3","1","1","2","1","3") = "3"
    & squares("3","1","3","1","1","2","2","1") = "3"
    & squares("3","1","3","1","1","2","2","2") = "3"
    & squares("3","1","3","1","1","2","2","3") = "3"
    & squares("3","1","3","1","1","2","3","1") = "3"
    & squares("3","1","3","1","1","2","3","2") = "3"
    & squares("3","1","3","1","1","2","3","3") = "3"
    & squares("3","1","3","1","1","3","1","1") = "3"
    & squares("3","1","3","1","1","3","1","2") = "3"
    & squares("3","1","3","1","1","3","1","3") = "3"
    & squares("3","1","3","1","1","3","2","1") = "3"
    & squares("3","1","3","1","1","3","2","2") = "3"
    & squares("3","1","3","1","1","3","2","3") = "3"
    & squares("3","1","3","1","1","3","3","1") = "3"
    & squares("3","1","3","1","1","3","3","2") = "3"
    & squares("3","1","3","1","1","3","3","3") = "3"
    & squares("3","1","3","1","2","1","1","1") = "3"
    & squares("3","1","3","1","2","1","1","2") = "3"
    & squares("3","1","3","1","2","1","1","3") = "3"
    & squares("3","1","3","1","2","1","2","1") = "3"
    & squares("3","1","3","1","2","1","2","2") = "3"
    & squares("3","1","3","1","2","1","2","3") = "3"
    & squares("3","1","3","1","2","1","3","1") = "3"
    & squares("3","1","3","1","2","1","3","2") = "3"
    & squares("3","1","3","1","2","1","3","3") = "3"
    & squares("3","1","3","1","2","2","1","1") = "3"
    & squares("3","1","3","1","2","2","1","2") = "3"
    & squares("3","1","3","1","2","2","1","3") = "3"
    & squares("3","1","3","1","2","2","2","1") = "3"
    & squares("3","1","3","1","2","2","2","2") = "3"
    & squares("3","1","3","1","2","2","2","3") = "3"
    & squares("3","1","3","1","2","2","3","1") = "3"
    & squares("3","1","3","1","2","2","3","2") = "3"
    & squares("3","1","3","1","2","2","3","3") = "3"
    & squares("3","1","3","1","2","3","1","1") = "3"
    & squares("3","1","3","1","2","3","1","2") = "3"
    & squares("3","1","3","1","2","3","1","3") = "3"
    & squares("3","1","3","1","2","3","2","1") = "3"
    & squares("3","1","3","1","2","3","2","2") = "3"
    & squares("3","1","3","1","2","3","2","3") = "3"
    & squares("3","1","3","1","2","3","3","1") = "3"
    & squares("3","1","3","1","2","3","3","2") = "3"
    & squares("3","1","3","1","2","3","3","3") = "3"
    & squares("3","1","3","1","3","1","1","1") = "3"
    & squares("3","1","3","1","3","1","1","2") = "3"
    & squares("3","1","3","1","3","1","1","3") = "3"
    & squares("3","1","3","1","3","1","2","1") = "3"
    & squares("3","1","3","1","3","1","2","2") = "3"
    & squares("3","1","3","1","3","1","2","3") = "3"
    & squares("3","1","3","1","3","1","3","1") = "3"
    & squares("3","1","3","1","3","1","3","2") = "3"
    & squares("3","1","3","1","3","1","3","3") = "3"
    & squares("3","1","3","1","3","2","1","1") = "3"
    & squares("3","1","3","1","3","2","1","2") = "3"
    & squares("3","1","3","1","3","2","1","3") = "3"
    & squares("3","1","3","1","3","2","2","1") = "3"
    & squares("3","1","3","1","3","2","2","2") = "3"
    & squares("3","1","3","1","3","2","2","3") = "3"
    & squares("3","1","3","1","3","2","3","1") = "3"
    & squares("3","1","3","1","3","2","3","2") = "3"
    & squares("3","1","3","1","3","2","3","3") = "3"
    & squares("3","1","3","1","3","3","1","1") = "3"
    & squares("3","1","3","1","3","3","1","2") = "3"
    & squares("3","1","3","1","3","3","1","3") = "3"
    & squares("3","1","3","1","3","3","2","1") = "3"
    & squares("3","1","3","1","3","3","2","2") = "3"
    & squares("3","1","3","1","3","3","2","3") = "3"
    & squares("3","1","3","1","3","3","3","1") = "3"
    & squares("3","1","3","1","3","3","3","2") = "3"
    & squares("3","1","3","1","3","3","3","3") = "3"
    & squares("3","1","3","2","1","1","1","1") = "3"
    & squares("3","1","3","2","1","1","1","2") = "3"
    & squares("3","1","3","2","1","1","1","3") = "3"
    & squares("3","1","3","2","1","1","2","1") = "3"
    & squares("3","1","3","2","1","1","2","2") = "3"
    & squares("3","1","3","2","1","1","2","3") = "3"
    & squares("3","1","3","2","1","1","3","1") = "3"
    & squares("3","1","3","2","1","1","3","2") = "3"
    & squares("3","1","3","2","1","1","3","3") = "3"
    & squares("3","1","3","2","1","2","1","1") = "3"
    & squares("3","1","3","2","1","2","1","2") = "3"
    & squares("3","1","3","2","1","2","1","3") = "3"
    & squares("3","1","3","2","1","2","2","1") = "3"
    & squares("3","1","3","2","1","2","2","2") = "3"
    & squares("3","1","3","2","1","2","2","3") = "3"
    & squares("3","1","3","2","1","2","3","1") = "3"
    & squares("3","1","3","2","1","2","3","2") = "3"
    & squares("3","1","3","2","1","2","3","3") = "3"
    & squares("3","1","3","2","1","3","1","1") = "3"
    & squares("3","1","3","2","1","3","1","2") = "3"
    & squares("3","1","3","2","1","3","1","3") = "3"
    & squares("3","1","3","2","1","3","2","1") = "3"
    & squares("3","1","3","2","1","3","2","2") = "3"
    & squares("3","1","3","2","1","3","2","3") = "3"
    & squares("3","1","3","2","1","3","3","1") = "3"
    & squares("3","1","3","2","1","3","3","2") = "3"
    & squares("3","1","3","2","1","3","3","3") = "3"
    & squares("3","1","3","2","2","1","1","1") = "3"
    & squares("3","1","3","2","2","1","1","2") = "3"
    & squares("3","1","3","2","2","1","1","3") = "3"
    & squares("3","1","3","2","2","1","2","1") = "3"
    & squares("3","1","3","2","2","1","2","2") = "3"
    & squares("3","1","3","2","2","1","2","3") = "3"
    & squares("3","1","3","2","2","1","3","1") = "3"
    & squares("3","1","3","2","2","1","3","2") = "3"
    & squares("3","1","3","2","2","1","3","3") = "3"
    & squares("3","1","3","2","2","2","1","1") = "3"
    & squares("3","1","3","2","2","2","1","2") = "3"
    & squares("3","1","3","2","2","2","1","3") = "3"
    & squares("3","1","3","2","2","2","2","1") = "3"
    & squares("3","1","3","2","2","2","2","2") = "3"
    & squares("3","1","3","2","2","2","2","3") = "3"
    & squares("3","1","3","2","2","2","3","1") = "3"
    & squares("3","1","3","2","2","2","3","2") = "3"
    & squares("3","1","3","2","2","2","3","3") = "3"
    & squares("3","1","3","2","2","3","1","1") = "3"
    & squares("3","1","3","2","2","3","1","2") = "3"
    & squares("3","1","3","2","2","3","1","3") = "3"
    & squares("3","1","3","2","2","3","2","1") = "3"
    & squares("3","1","3","2","2","3","2","2") = "3"
    & squares("3","1","3","2","2","3","2","3") = "3"
    & squares("3","1","3","2","2","3","3","1") = "3"
    & squares("3","1","3","2","2","3","3","2") = "3"
    & squares("3","1","3","2","2","3","3","3") = "3"
    & squares("3","1","3","2","3","1","1","1") = "3"
    & squares("3","1","3","2","3","1","1","2") = "3"
    & squares("3","1","3","2","3","1","1","3") = "3"
    & squares("3","1","3","2","3","1","2","1") = "3"
    & squares("3","1","3","2","3","1","2","2") = "3"
    & squares("3","1","3","2","3","1","2","3") = "3"
    & squares("3","1","3","2","3","1","3","1") = "3"
    & squares("3","1","3","2","3","1","3","2") = "3"
    & squares("3","1","3","2","3","1","3","3") = "3"
    & squares("3","1","3","2","3","2","1","1") = "3"
    & squares("3","1","3","2","3","2","1","2") = "3"
    & squares("3","1","3","2","3","2","1","3") = "3"
    & squares("3","1","3","2","3","2","2","1") = "3"
    & squares("3","1","3","2","3","2","2","2") = "3"
    & squares("3","1","3","2","3","2","2","3") = "3"
    & squares("3","1","3","2","3","2","3","1") = "3"
    & squares("3","1","3","2","3","2","3","2") = "3"
    & squares("3","1","3","2","3","2","3","3") = "3"
    & squares("3","1","3","2","3","3","1","1") = "3"
    & squares("3","1","3","2","3","3","1","2") = "3"
    & squares("3","1","3","2","3","3","1","3") = "3"
    & squares("3","1","3","2","3","3","2","1") = "3"
    & squares("3","1","3","2","3","3","2","2") = "3"
    & squares("3","1","3","2","3","3","2","3") = "3"
    & squares("3","1","3","2","3","3","3","1") = "3"
    & squares("3","1","3","2","3","3","3","2") = "3"
    & squares("3","1","3","2","3","3","3","3") = "3"
    & squares("3","1","3","3","1","1","1","1") = "3"
    & squares("3","1","3","3","1","1","1","2") = "3"
    & squares("3","1","3","3","1","1","1","3") = "3"
    & squares("3","1","3","3","1","1","2","1") = "3"
    & squares("3","1","3","3","1","1","2","2") = "3"
    & squares("3","1","3","3","1","1","2","3") = "3"
    & squares("3","1","3","3","1","1","3","1") = "3"
    & squares("3","1","3","3","1","1","3","2") = "3"
    & squares("3","1","3","3","1","1","3","3") = "3"
    & squares("3","1","3","3","1","2","1","1") = "3"
    & squares("3","1","3","3","1","2","1","2") = "3"
    & squares("3","1","3","3","1","2","1","3") = "3"
    & squares("3","1","3","3","1","2","2","1") = "3"
    & squares("3","1","3","3","1","2","2","2") = "3"
    & squares("3","1","3","3","1","2","2","3") = "3"
    & squares("3","1","3","3","1","2","3","1") = "3"
    & squares("3","1","3","3","1","2","3","2") = "3"
    & squares("3","1","3","3","1","2","3","3") = "3"
    & squares("3","1","3","3","1","3","1","1") = "3"
    & squares("3","1","3","3","1","3","1","2") = "3"
    & squares("3","1","3","3","1","3","1","3") = "3"
    & squares("3","1","3","3","1","3","2","1") = "3"
    & squares("3","1","3","3","1","3","2","2") = "3"
    & squares("3","1","3","3","1","3","2","3") = "3"
    & squares("3","1","3","3","1","3","3","1") = "3"
    & squares("3","1","3","3","1","3","3","2") = "3"
    & squares("3","1","3","3","1","3","3","3") = "3"
    & squares("3","1","3","3","2","1","1","1") = "3"
    & squares("3","1","3","3","2","1","1","2") = "3"
    & squares("3","1","3","3","2","1","1","3") = "3"
    & squares("3","1","3","3","2","1","2","1") = "3"
    & squares("3","1","3","3","2","1","2","2") = "3"
    & squares("3","1","3","3","2","1","2","3") = "3"
    & squares("3","1","3","3","2","1","3","1") = "3"
    & squares("3","1","3","3","2","1","3","2") = "3"
    & squares("3","1","3","3","2","1","3","3") = "3"
    & squares("3","1","3","3","2","2","1","1") = "3"
    & squares("3","1","3","3","2","2","1","2") = "3"
    & squares("3","1","3","3","2","2","1","3") = "3"
    & squares("3","1","3","3","2","2","2","1") = "3"
    & squares("3","1","3","3","2","2","2","2") = "3"
    & squares("3","1","3","3","2","2","2","3") = "3"
    & squares("3","1","3","3","2","2","3","1") = "3"
    & squares("3","1","3","3","2","2","3","2") = "3"
    & squares("3","1","3","3","2","2","3","3") = "3"
    & squares("3","1","3","3","2","3","1","1") = "3"
    & squares("3","1","3","3","2","3","1","2") = "3"
    & squares("3","1","3","3","2","3","1","3") = "3"
    & squares("3","1","3","3","2","3","2","1") = "3"
    & squares("3","1","3","3","2","3","2","2") = "3"
    & squares("3","1","3","3","2","3","2","3") = "3"
    & squares("3","1","3","3","2","3","3","1") = "3"
    & squares("3","1","3","3","2","3","3","2") = "3"
    & squares("3","1","3","3","2","3","3","3") = "3"
    & squares("3","1","3","3","3","1","1","1") = "3"
    & squares("3","1","3","3","3","1","1","2") = "3"
    & squares("3","1","3","3","3","1","1","3") = "3"
    & squares("3","1","3","3","3","1","2","1") = "3"
    & squares("3","1","3","3","3","1","2","2") = "3"
    & squares("3","1","3","3","3","1","2","3") = "3"
    & squares("3","1","3","3","3","1","3","1") = "3"
    & squares("3","1","3","3","3","1","3","2") = "3"
    & squares("3","1","3","3","3","1","3","3") = "3"
    & squares("3","1","3","3","3","2","1","1") = "3"
    & squares("3","1","3","3","3","2","1","2") = "3"
    & squares("3","1","3","3","3","2","1","3") = "3"
    & squares("3","1","3","3","3","2","2","1") = "3"
    & squares("3","1","3","3","3","2","2","2") = "3"
    & squares("3","1","3","3","3","2","2","3") = "3"
    & squares("3","1","3","3","3","2","3","1") = "3"
    & squares("3","1","3","3","3","2","3","2") = "3"
    & squares("3","1","3","3","3","2","3","3") = "3"
    & squares("3","1","3","3","3","3","1","1") = "3"
    & squares("3","1","3","3","3","3","1","2") = "3"
    & squares("3","1","3","3","3","3","1","3") = "3"
    & squares("3","1","3","3","3","3","2","1") = "3"
    & squares("3","1","3","3","3","3","2","2") = "3"
    & squares("3","1","3","3","3","3","2","3") = "3"
    & squares("3","1","3","3","3","3","3","1") = "3"
    & squares("3","1","3","3","3","3","3","2") = "3"
    & squares("3","1","3","3","3","3","3","3") = "3"
    & squares("3","2","1","1","1","1","1","1") = "3"
    & squares("3","2","1","1","1","1","1","2") = "3"
    & squares("3","2","1","1","1","1","1","3") = "3"
    & squares("3","2","1","1","1","1","2","1") = "3"
    & squares("3","2","1","1","1","1","2","2") = "3"
    & squares("3","2","1","1","1","1","2","3") = "3"
    & squares("3","2","1","1","1","1","3","1") = "3"
    & squares("3","2","1","1","1","1","3","2") = "3"
    & squares("3","2","1","1","1","1","3","3") = "3"
    & squares("3","2","1","1","1","2","1","1") = "3"
    & squares("3","2","1","1","1","2","1","2") = "3"
    & squares("3","2","1","1","1","2","1","3") = "3"
    & squares("3","2","1","1","1","2","2","1") = "3"
    & squares("3","2","1","1","1","2","2","2") = "3"
    & squares("3","2","1","1","1","2","2","3") = "3"
    & squares("3","2","1","1","1","2","3","1") = "3"
    & squares("3","2","1","1","1","2","3","2") = "3"
    & squares("3","2","1","1","1","2","3","3") = "3"
    & squares("3","2","1","1","1","3","1","1") = "3"
    & squares("3","2","1","1","1","3","1","2") = "3"
    & squares("3","2","1","1","1","3","1","3") = "3"
    & squares("3","2","1","1","1","3","2","1") = "3"
    & squares("3","2","1","1","1","3","2","2") = "3"
    & squares("3","2","1","1","1","3","2","3") = "3"
    & squares("3","2","1","1","1","3","3","1") = "3"
    & squares("3","2","1","1","1","3","3","2") = "3"
    & squares("3","2","1","1","1","3","3","3") = "3"
    & squares("3","2","1","1","2","1","1","1") = "3"
    & squares("3","2","1","1","2","1","1","2") = "3"
    & squares("3","2","1","1","2","1","1","3") = "3"
    & squares("3","2","1","1","2","1","2","1") = "3"
    & squares("3","2","1","1","2","1","2","2") = "3"
    & squares("3","2","1","1","2","1","2","3") = "3"
    & squares("3","2","1","1","2","1","3","1") = "3"
    & squares("3","2","1","1","2","1","3","2") = "3"
    & squares("3","2","1","1","2","1","3","3") = "3"
    & squares("3","2","1","1","2","2","1","1") = "3"
    & squares("3","2","1","1","2","2","1","2") = "3"
    & squares("3","2","1","1","2","2","1","3") = "3"
    & squares("3","2","1","1","2","2","2","1") = "3"
    & squares("3","2","1","1","2","2","2","2") = "3"
    & squares("3","2","1","1","2","2","2","3") = "3"
    & squares("3","2","1","1","2","2","3","1") = "3"
    & squares("3","2","1","1","2","2","3","2") = "3"
    & squares("3","2","1","1","2","2","3","3") = "3"
    & squares("3","2","1","1","2","3","1","1") = "3"
    & squares("3","2","1","1","2","3","1","2") = "3"
    & squares("3","2","1","1","2","3","1","3") = "3"
    & squares("3","2","1","1","2","3","2","1") = "3"
    & squares("3","2","1","1","2","3","2","2") = "3"
    & squares("3","2","1","1","2","3","2","3") = "3"
    & squares("3","2","1","1","2","3","3","1") = "3"
    & squares("3","2","1","1","2","3","3","2") = "3"
    & squares("3","2","1","1","2","3","3","3") = "3"
    & squares("3","2","1","1","3","1","1","1") = "3"
    & squares("3","2","1","1","3","1","1","2") = "3"
    & squares("3","2","1","1","3","1","1","3") = "3"
    & squares("3","2","1","1","3","1","2","1") = "3"
    & squares("3","2","1","1","3","1","2","2") = "3"
    & squares("3","2","1","1","3","1","2","3") = "3"
    & squares("3","2","1","1","3","1","3","1") = "3"
    & squares("3","2","1","1","3","1","3","2") = "3"
    & squares("3","2","1","1","3","1","3","3") = "3"
    & squares("3","2","1","1","3","2","1","1") = "3"
    & squares("3","2","1","1","3","2","1","2") = "3"
    & squares("3","2","1","1","3","2","1","3") = "3"
    & squares("3","2","1","1","3","2","2","1") = "3"
    & squares("3","2","1","1","3","2","2","2") = "3"
    & squares("3","2","1","1","3","2","2","3") = "3"
    & squares("3","2","1","1","3","2","3","1") = "3"
    & squares("3","2","1","1","3","2","3","2") = "3"
    & squares("3","2","1","1","3","2","3","3") = "3"
    & squares("3","2","1","1","3","3","1","1") = "3"
    & squares("3","2","1","1","3","3","1","2") = "3"
    & squares("3","2","1","1","3","3","1","3") = "3"
    & squares("3","2","1","1","3","3","2","1") = "3"
    & squares("3","2","1","1","3","3","2","2") = "3"
    & squares("3","2","1","1","3","3","2","3") = "3"
    & squares("3","2","1","1","3","3","3","1") = "3"
    & squares("3","2","1","1","3","3","3","2") = "3"
    & squares("3","2","1","1","3","3","3","3") = "3"
    & squares("3","2","1","2","1","1","1","1") = "3"
    & squares("3","2","1","2","1","1","1","2") = "3"
    & squares("3","2","1","2","1","1","1","3") = "3"
    & squares("3","2","1","2","1","1","2","1") = "3"
    & squares("3","2","1","2","1","1","2","2") = "3"
    & squares("3","2","1","2","1","1","2","3") = "3"
    & squares("3","2","1","2","1","1","3","1") = "3"
    & squares("3","2","1","2","1","1","3","2") = "3"
    & squares("3","2","1","2","1","1","3","3") = "3"
    & squares("3","2","1","2","1","2","1","1") = "3"
    & squares("3","2","1","2","1","2","1","2") = "3"
    & squares("3","2","1","2","1","2","1","3") = "3"
    & squares("3","2","1","2","1","2","2","1") = "3"
    & squares("3","2","1","2","1","2","2","2") = "3"
    & squares("3","2","1","2","1","2","2","3") = "3"
    & squares("3","2","1","2","1","2","3","1") = "3"
    & squares("3","2","1","2","1","2","3","2") = "3"
    & squares("3","2","1","2","1","2","3","3") = "3"
    & squares("3","2","1","2","1","3","1","1") = "3"
    & squares("3","2","1","2","1","3","1","2") = "3"
    & squares("3","2","1","2","1","3","1","3") = "3"
    & squares("3","2","1","2","1","3","2","1") = "3"
    & squares("3","2","1","2","1","3","2","2") = "3"
    & squares("3","2","1","2","1","3","2","3") = "3"
    & squares("3","2","1","2","1","3","3","1") = "3"
    & squares("3","2","1","2","1","3","3","2") = "3"
    & squares("3","2","1","2","1","3","3","3") = "3"
    & squares("3","2","1","2","2","1","1","1") = "3"
    & squares("3","2","1","2","2","1","1","2") = "3"
    & squares("3","2","1","2","2","1","1","3") = "3"
    & squares("3","2","1","2","2","1","2","1") = "3"
    & squares("3","2","1","2","2","1","2","2") = "3"
    & squares("3","2","1","2","2","1","2","3") = "3"
    & squares("3","2","1","2","2","1","3","1") = "3"
    & squares("3","2","1","2","2","1","3","2") = "3"
    & squares("3","2","1","2","2","1","3","3") = "3"
    & squares("3","2","1","2","2","2","1","1") = "3"
    & squares("3","2","1","2","2","2","1","2") = "3"
    & squares("3","2","1","2","2","2","1","3") = "3"
    & squares("3","2","1","2","2","2","2","1") = "3"
    & squares("3","2","1","2","2","2","2","2") = "3"
    & squares("3","2","1","2","2","2","2","3") = "3"
    & squares("3","2","1","2","2","2","3","1") = "3"
    & squares("3","2","1","2","2","2","3","2") = "3"
    & squares("3","2","1","2","2","2","3","3") = "3"
    & squares("3","2","1","2","2","3","1","1") = "3"
    & squares("3","2","1","2","2","3","1","2") = "3"
    & squares("3","2","1","2","2","3","1","3") = "3"
    & squares("3","2","1","2","2","3","2","1") = "3"
    & squares("3","2","1","2","2","3","2","2") = "3"
    & squares("3","2","1","2","2","3","2","3") = "3"
    & squares("3","2","1","2","2","3","3","1") = "3"
    & squares("3","2","1","2","2","3","3","2") = "3"
    & squares("3","2","1","2","2","3","3","3") = "3"
    & squares("3","2","1","2","3","1","1","1") = "3"
    & squares("3","2","1","2","3","1","1","2") = "3"
    & squares("3","2","1","2","3","1","1","3") = "3"
    & squares("3","2","1","2","3","1","2","1") = "3"
    & squares("3","2","1","2","3","1","2","2") = "3"
    & squares("3","2","1","2","3","1","2","3") = "3"
    & squares("3","2","1","2","3","1","3","1") = "3"
    & squares("3","2","1","2","3","1","3","2") = "3"
    & squares("3","2","1","2","3","1","3","3") = "3"
    & squares("3","2","1","2","3","2","1","1") = "3"
    & squares("3","2","1","2","3","2","1","2") = "3"
    & squares("3","2","1","2","3","2","1","3") = "3"
    & squares("3","2","1","2","3","2","2","1") = "3"
    & squares("3","2","1","2","3","2","2","2") = "3"
    & squares("3","2","1","2","3","2","2","3") = "3"
    & squares("3","2","1","2","3","2","3","1") = "3"
    & squares("3","2","1","2","3","2","3","2") = "3"
    & squares("3","2","1","2","3","2","3","3") = "3"
    & squares("3","2","1","2","3","3","1","1") = "3"
    & squares("3","2","1","2","3","3","1","2") = "3"
    & squares("3","2","1","2","3","3","1","3") = "3"
    & squares("3","2","1","2","3","3","2","1") = "3"
    & squares("3","2","1","2","3","3","2","2") = "3"
    & squares("3","2","1","2","3","3","2","3") = "3"
    & squares("3","2","1","2","3","3","3","1") = "3"
    & squares("3","2","1","2","3","3","3","2") = "3"
    & squares("3","2","1","2","3","3","3","3") = "3"
    & squares("3","2","1","3","1","1","1","1") = "3"
    & squares("3","2","1","3","1","1","1","2") = "3"
    & squares("3","2","1","3","1","1","1","3") = "3"
    & squares("3","2","1","3","1","1","2","1") = "3"
    & squares("3","2","1","3","1","1","2","2") = "3"
    & squares("3","2","1","3","1","1","2","3") = "3"
    & squares("3","2","1","3","1","1","3","1") = "3"
    & squares("3","2","1","3","1","1","3","2") = "3"
    & squares("3","2","1","3","1","1","3","3") = "3"
    & squares("3","2","1","3","1","2","1","1") = "3"
    & squares("3","2","1","3","1","2","1","2") = "3"
    & squares("3","2","1","3","1","2","1","3") = "3"
    & squares("3","2","1","3","1","2","2","1") = "3"
    & squares("3","2","1","3","1","2","2","2") = "3"
    & squares("3","2","1","3","1","2","2","3") = "3"
    & squares("3","2","1","3","1","2","3","1") = "3"
    & squares("3","2","1","3","1","2","3","2") = "3"
    & squares("3","2","1","3","1","2","3","3") = "3"
    & squares("3","2","1","3","1","3","1","1") = "3"
    & squares("3","2","1","3","1","3","1","2") = "3"
    & squares("3","2","1","3","1","3","1","3") = "3"
    & squares("3","2","1","3","1","3","2","1") = "3"
    & squares("3","2","1","3","1","3","2","2") = "3"
    & squares("3","2","1","3","1","3","2","3") = "3"
    & squares("3","2","1","3","1","3","3","1") = "3"
    & squares("3","2","1","3","1","3","3","2") = "3"
    & squares("3","2","1","3","1","3","3","3") = "3"
    & squares("3","2","1","3","2","1","1","1") = "3"
    & squares("3","2","1","3","2","1","1","2") = "3"
    & squares("3","2","1","3","2","1","1","3") = "3"
    & squares("3","2","1","3","2","1","2","1") = "3"
    & squares("3","2","1","3","2","1","2","2") = "3"
    & squares("3","2","1","3","2","1","2","3") = "3"
    & squares("3","2","1","3","2","1","3","1") = "3"
    & squares("3","2","1","3","2","1","3","2") = "3"
    & squares("3","2","1","3","2","1","3","3") = "3"
    & squares("3","2","1","3","2","2","1","1") = "3"
    & squares("3","2","1","3","2","2","1","2") = "3"
    & squares("3","2","1","3","2","2","1","3") = "3"
    & squares("3","2","1","3","2","2","2","1") = "3"
    & squares("3","2","1","3","2","2","2","2") = "3"
    & squares("3","2","1","3","2","2","2","3") = "3"
    & squares("3","2","1","3","2","2","3","1") = "3"
    & squares("3","2","1","3","2","2","3","2") = "3"
    & squares("3","2","1","3","2","2","3","3") = "3"
    & squares("3","2","1","3","2","3","1","1") = "3"
    & squares("3","2","1","3","2","3","1","2") = "3"
    & squares("3","2","1","3","2","3","1","3") = "3"
    & squares("3","2","1","3","2","3","2","1") = "3"
    & squares("3","2","1","3","2","3","2","2") = "3"
    & squares("3","2","1","3","2","3","2","3") = "3"
    & squares("3","2","1","3","2","3","3","1") = "3"
    & squares("3","2","1","3","2","3","3","2") = "3"
    & squares("3","2","1","3","2","3","3","3") = "3"
    & squares("3","2","1","3","3","1","1","1") = "3"
    & squares("3","2","1","3","3","1","1","2") = "3"
    & squares("3","2","1","3","3","1","1","3") = "3"
    & squares("3","2","1","3","3","1","2","1") = "3"
    & squares("3","2","1","3","3","1","2","2") = "3"
    & squares("3","2","1","3","3","1","2","3") = "3"
    & squares("3","2","1","3","3","1","3","1") = "3"
    & squares("3","2","1","3","3","1","3","2") = "3"
    & squares("3","2","1","3","3","1","3","3") = "3"
    & squares("3","2","1","3","3","2","1","1") = "3"
    & squares("3","2","1","3","3","2","1","2") = "3"
    & squares("3","2","1","3","3","2","1","3") = "3"
    & squares("3","2","1","3","3","2","2","1") = "3"
    & squares("3","2","1","3","3","2","2","2") = "3"
    & squares("3","2","1","3","3","2","2","3") = "3"
    & squares("3","2","1","3","3","2","3","1") = "3"
    & squares("3","2","1","3","3","2","3","2") = "3"
    & squares("3","2","1","3","3","2","3","3") = "3"
    & squares("3","2","1","3","3","3","1","1") = "3"
    & squares("3","2","1","3","3","3","1","2") = "3"
    & squares("3","2","1","3","3","3","1","3") = "3"
    & squares("3","2","1","3","3","3","2","1") = "3"
    & squares("3","2","1","3","3","3","2","2") = "3"
    & squares("3","2","1","3","3","3","2","3") = "3"
    & squares("3","2","1","3","3","3","3","1") = "3"
    & squares("3","2","1","3","3","3","3","2") = "3"
    & squares("3","2","1","3","3","3","3","3") = "3"
    & squares("3","2","2","1","1","1","1","1") = "3"
    & squares("3","2","2","1","1","1","1","2") = "3"
    & squares("3","2","2","1","1","1","1","3") = "3"
    & squares("3","2","2","1","1","1","2","1") = "3"
    & squares("3","2","2","1","1","1","2","2") = "3"
    & squares("3","2","2","1","1","1","2","3") = "3"
    & squares("3","2","2","1","1","1","3","1") = "3"
    & squares("3","2","2","1","1","1","3","2") = "3"
    & squares("3","2","2","1","1","1","3","3") = "3"
    & squares("3","2","2","1","1","2","1","1") = "3"
    & squares("3","2","2","1","1","2","1","2") = "3"
    & squares("3","2","2","1","1","2","1","3") = "3"
    & squares("3","2","2","1","1","2","2","1") = "3"
    & squares("3","2","2","1","1","2","2","2") = "3"
    & squares("3","2","2","1","1","2","2","3") = "3"
    & squares("3","2","2","1","1","2","3","1") = "3"
    & squares("3","2","2","1","1","2","3","2") = "3"
    & squares("3","2","2","1","1","2","3","3") = "3"
    & squares("3","2","2","1","1","3","1","1") = "3"
    & squares("3","2","2","1","1","3","1","2") = "3"
    & squares("3","2","2","1","1","3","1","3") = "3"
    & squares("3","2","2","1","1","3","2","1") = "3"
    & squares("3","2","2","1","1","3","2","2") = "3"
    & squares("3","2","2","1","1","3","2","3") = "3"
    & squares("3","2","2","1","1","3","3","1") = "3"
    & squares("3","2","2","1","1","3","3","2") = "3"
    & squares("3","2","2","1","1","3","3","3") = "3"
    & squares("3","2","2","1","2","1","1","1") = "3"
    & squares("3","2","2","1","2","1","1","2") = "3"
    & squares("3","2","2","1","2","1","1","3") = "3"
    & squares("3","2","2","1","2","1","2","1") = "3"
    & squares("3","2","2","1","2","1","2","2") = "3"
    & squares("3","2","2","1","2","1","2","3") = "3"
    & squares("3","2","2","1","2","1","3","1") = "3"
    & squares("3","2","2","1","2","1","3","2") = "3"
    & squares("3","2","2","1","2","1","3","3") = "3"
    & squares("3","2","2","1","2","2","1","1") = "3"
    & squares("3","2","2","1","2","2","1","2") = "3"
    & squares("3","2","2","1","2","2","1","3") = "3"
    & squares("3","2","2","1","2","2","2","1") = "3"
    & squares("3","2","2","1","2","2","2","2") = "3"
    & squares("3","2","2","1","2","2","2","3") = "3"
    & squares("3","2","2","1","2","2","3","1") = "3"
    & squares("3","2","2","1","2","2","3","2") = "3"
    & squares("3","2","2","1","2","2","3","3") = "3"
    & squares("3","2","2","1","2","3","1","1") = "3"
    & squares("3","2","2","1","2","3","1","2") = "3"
    & squares("3","2","2","1","2","3","1","3") = "3"
    & squares("3","2","2","1","2","3","2","1") = "3"
    & squares("3","2","2","1","2","3","2","2") = "3"
    & squares("3","2","2","1","2","3","2","3") = "3"
    & squares("3","2","2","1","2","3","3","1") = "3"
    & squares("3","2","2","1","2","3","3","2") = "3"
    & squares("3","2","2","1","2","3","3","3") = "3"
    & squares("3","2","2","1","3","1","1","1") = "3"
    & squares("3","2","2","1","3","1","1","2") = "3"
    & squares("3","2","2","1","3","1","1","3") = "3"
    & squares("3","2","2","1","3","1","2","1") = "3"
    & squares("3","2","2","1","3","1","2","2") = "3"
    & squares("3","2","2","1","3","1","2","3") = "3"
    & squares("3","2","2","1","3","1","3","1") = "3"
    & squares("3","2","2","1","3","1","3","2") = "3"
    & squares("3","2","2","1","3","1","3","3") = "3"
    & squares("3","2","2","1","3","2","1","1") = "3"
    & squares("3","2","2","1","3","2","1","2") = "3"
    & squares("3","2","2","1","3","2","1","3") = "3"
    & squares("3","2","2","1","3","2","2","1") = "3"
    & squares("3","2","2","1","3","2","2","2") = "3"
    & squares("3","2","2","1","3","2","2","3") = "3"
    & squares("3","2","2","1","3","2","3","1") = "3"
    & squares("3","2","2","1","3","2","3","2") = "3"
    & squares("3","2","2","1","3","2","3","3") = "3"
    & squares("3","2","2","1","3","3","1","1") = "3"
    & squares("3","2","2","1","3","3","1","2") = "3"
    & squares("3","2","2","1","3","3","1","3") = "3"
    & squares("3","2","2","1","3","3","2","1") = "3"
    & squares("3","2","2","1","3","3","2","2") = "3"
    & squares("3","2","2","1","3","3","2","3") = "3"
    & squares("3","2","2","1","3","3","3","1") = "3"
    & squares("3","2","2","1","3","3","3","2") = "3"
    & squares("3","2","2","1","3","3","3","3") = "3"
    & squares("3","2","2","2","1","1","1","1") = "3"
    & squares("3","2","2","2","1","1","1","2") = "3"
    & squares("3","2","2","2","1","1","1","3") = "3"
    & squares("3","2","2","2","1","1","2","1") = "3"
    & squares("3","2","2","2","1","1","2","2") = "3"
    & squares("3","2","2","2","1","1","2","3") = "3"
    & squares("3","2","2","2","1","1","3","1") = "3"
    & squares("3","2","2","2","1","1","3","2") = "3"
    & squares("3","2","2","2","1","1","3","3") = "3"
    & squares("3","2","2","2","1","2","1","1") = "3"
    & squares("3","2","2","2","1","2","1","2") = "3"
    & squares("3","2","2","2","1","2","1","3") = "3"
    & squares("3","2","2","2","1","2","2","1") = "3"
    & squares("3","2","2","2","1","2","2","2") = "3"
    & squares("3","2","2","2","1","2","2","3") = "3"
    & squares("3","2","2","2","1","2","3","1") = "3"
    & squares("3","2","2","2","1","2","3","2") = "3"
    & squares("3","2","2","2","1","2","3","3") = "3"
    & squares("3","2","2","2","1","3","1","1") = "3"
    & squares("3","2","2","2","1","3","1","2") = "3"
    & squares("3","2","2","2","1","3","1","3") = "3"
    & squares("3","2","2","2","1","3","2","1") = "3"
    & squares("3","2","2","2","1","3","2","2") = "3"
    & squares("3","2","2","2","1","3","2","3") = "3"
    & squares("3","2","2","2","1","3","3","1") = "3"
    & squares("3","2","2","2","1","3","3","2") = "3"
    & squares("3","2","2","2","1","3","3","3") = "3"
    & squares("3","2","2","2","2","1","1","1") = "3"
    & squares("3","2","2","2","2","1","1","2") = "3"
    & squares("3","2","2","2","2","1","1","3") = "3"
    & squares("3","2","2","2","2","1","2","1") = "3"
    & squares("3","2","2","2","2","1","2","2") = "3"
    & squares("3","2","2","2","2","1","2","3") = "3"
    & squares("3","2","2","2","2","1","3","1") = "3"
    & squares("3","2","2","2","2","1","3","2") = "3"
    & squares("3","2","2","2","2","1","3","3") = "3"
    & squares("3","2","2","2","2","2","1","1") = "3"
    & squares("3","2","2","2","2","2","1","2") = "3"
    & squares("3","2","2","2","2","2","1","3") = "3"
    & squares("3","2","2","2","2","2","2","1") = "3"
    & squares("3","2","2","2","2","2","2","2") = "3"
    & squares("3","2","2","2","2","2","2","3") = "3"
    & squares("3","2","2","2","2","2","3","1") = "3"
    & squares("3","2","2","2","2","2","3","2") = "3"
    & squares("3","2","2","2","2","2","3","3") = "3"
    & squares("3","2","2","2","2","3","1","1") = "3"
    & squares("3","2","2","2","2","3","1","2") = "3"
    & squares("3","2","2","2","2","3","1","3") = "3"
    & squares("3","2","2","2","2","3","2","1") = "3"
    & squares("3","2","2","2","2","3","2","2") = "3"
    & squares("3","2","2","2","2","3","2","3") = "3"
    & squares("3","2","2","2","2","3","3","1") = "3"
    & squares("3","2","2","2","2","3","3","2") = "3"
    & squares("3","2","2","2","2","3","3","3") = "3"
    & squares("3","2","2","2","3","1","1","1") = "3"
    & squares("3","2","2","2","3","1","1","2") = "3"
    & squares("3","2","2","2","3","1","1","3") = "3"
    & squares("3","2","2","2","3","1","2","1") = "3"
    & squares("3","2","2","2","3","1","2","2") = "3"
    & squares("3","2","2","2","3","1","2","3") = "3"
    & squares("3","2","2","2","3","1","3","1") = "3"
    & squares("3","2","2","2","3","1","3","2") = "3"
    & squares("3","2","2","2","3","1","3","3") = "3"
    & squares("3","2","2","2","3","2","1","1") = "3"
    & squares("3","2","2","2","3","2","1","2") = "3"
    & squares("3","2","2","2","3","2","1","3") = "3"
    & squares("3","2","2","2","3","2","2","1") = "3"
    & squares("3","2","2","2","3","2","2","2") = "3"
    & squares("3","2","2","2","3","2","2","3") = "3"
    & squares("3","2","2","2","3","2","3","1") = "3"
    & squares("3","2","2","2","3","2","3","2") = "3"
    & squares("3","2","2","2","3","2","3","3") = "3"
    & squares("3","2","2","2","3","3","1","1") = "3"
    & squares("3","2","2","2","3","3","1","2") = "3"
    & squares("3","2","2","2","3","3","1","3") = "3"
    & squares("3","2","2","2","3","3","2","1") = "3"
    & squares("3","2","2","2","3","3","2","2") = "3"
    & squares("3","2","2","2","3","3","2","3") = "3"
    & squares("3","2","2","2","3","3","3","1") = "3"
    & squares("3","2","2","2","3","3","3","2") = "3"
    & squares("3","2","2","2","3","3","3","3") = "3"
    & squares("3","2","2","3","1","1","1","1") = "3"
    & squares("3","2","2","3","1","1","1","2") = "3"
    & squares("3","2","2","3","1","1","1","3") = "3"
    & squares("3","2","2","3","1","1","2","1") = "3"
    & squares("3","2","2","3","1","1","2","2") = "3"
    & squares("3","2","2","3","1","1","2","3") = "3"
    & squares("3","2","2","3","1","1","3","1") = "3"
    & squares("3","2","2","3","1","1","3","2") = "3"
    & squares("3","2","2","3","1","1","3","3") = "3"
    & squares("3","2","2","3","1","2","1","1") = "3"
    & squares("3","2","2","3","1","2","1","2") = "3"
    & squares("3","2","2","3","1","2","1","3") = "3"
    & squares("3","2","2","3","1","2","2","1") = "3"
    & squares("3","2","2","3","1","2","2","2") = "3"
    & squares("3","2","2","3","1","2","2","3") = "3"
    & squares("3","2","2","3","1","2","3","1") = "3"
    & squares("3","2","2","3","1","2","3","2") = "3"
    & squares("3","2","2","3","1","2","3","3") = "3"
    & squares("3","2","2","3","1","3","1","1") = "3"
    & squares("3","2","2","3","1","3","1","2") = "3"
    & squares("3","2","2","3","1","3","1","3") = "3"
    & squares("3","2","2","3","1","3","2","1") = "3"
    & squares("3","2","2","3","1","3","2","2") = "3"
    & squares("3","2","2","3","1","3","2","3") = "3"
    & squares("3","2","2","3","1","3","3","1") = "3"
    & squares("3","2","2","3","1","3","3","2") = "3"
    & squares("3","2","2","3","1","3","3","3") = "3"
    & squares("3","2","2","3","2","1","1","1") = "3"
    & squares("3","2","2","3","2","1","1","2") = "3"
    & squares("3","2","2","3","2","1","1","3") = "3"
    & squares("3","2","2","3","2","1","2","1") = "3"
    & squares("3","2","2","3","2","1","2","2") = "3"
    & squares("3","2","2","3","2","1","2","3") = "3"
    & squares("3","2","2","3","2","1","3","1") = "3"
    & squares("3","2","2","3","2","1","3","2") = "3"
    & squares("3","2","2","3","2","1","3","3") = "3"
    & squares("3","2","2","3","2","2","1","1") = "3"
    & squares("3","2","2","3","2","2","1","2") = "3"
    & squares("3","2","2","3","2","2","1","3") = "3"
    & squares("3","2","2","3","2","2","2","1") = "3"
    & squares("3","2","2","3","2","2","2","2") = "3"
    & squares("3","2","2","3","2","2","2","3") = "3"
    & squares("3","2","2","3","2","2","3","1") = "3"
    & squares("3","2","2","3","2","2","3","2") = "3"
    & squares("3","2","2","3","2","2","3","3") = "3"
    & squares("3","2","2","3","2","3","1","1") = "3"
    & squares("3","2","2","3","2","3","1","2") = "3"
    & squares("3","2","2","3","2","3","1","3") = "3"
    & squares("3","2","2","3","2","3","2","1") = "3"
    & squares("3","2","2","3","2","3","2","2") = "3"
    & squares("3","2","2","3","2","3","2","3") = "3"
    & squares("3","2","2","3","2","3","3","1") = "3"
    & squares("3","2","2","3","2","3","3","2") = "3"
    & squares("3","2","2","3","2","3","3","3") = "3"
    & squares("3","2","2","3","3","1","1","1") = "3"
    & squares("3","2","2","3","3","1","1","2") = "3"
    & squares("3","2","2","3","3","1","1","3") = "3"
    & squares("3","2","2","3","3","1","2","1") = "3"
    & squares("3","2","2","3","3","1","2","2") = "3"
    & squares("3","2","2","3","3","1","2","3") = "3"
    & squares("3","2","2","3","3","1","3","1") = "3"
    & squares("3","2","2","3","3","1","3","2") = "3"
    & squares("3","2","2","3","3","1","3","3") = "3"
    & squares("3","2","2","3","3","2","1","1") = "3"
    & squares("3","2","2","3","3","2","1","2") = "3"
    & squares("3","2","2","3","3","2","1","3") = "3"
    & squares("3","2","2","3","3","2","2","1") = "3"
    & squares("3","2","2","3","3","2","2","2") = "3"
    & squares("3","2","2","3","3","2","2","3") = "3"
    & squares("3","2","2","3","3","2","3","1") = "3"
    & squares("3","2","2","3","3","2","3","2") = "3"
    & squares("3","2","2","3","3","2","3","3") = "3"
    & squares("3","2","2","3","3","3","1","1") = "3"
    & squares("3","2","2","3","3","3","1","2") = "3"
    & squares("3","2","2","3","3","3","1","3") = "3"
    & squares("3","2","2","3","3","3","2","1") = "3"
    & squares("3","2","2","3","3","3","2","2") = "3"
    & squares("3","2","2","3","3","3","2","3") = "3"
    & squares("3","2","2","3","3","3","3","1") = "3"
    & squares("3","2","2","3","3","3","3","2") = "3"
    & squares("3","2","2","3","3","3","3","3") = "3"
    & squares("3","2","3","1","1","1","1","1") = "3"
    & squares("3","2","3","1","1","1","1","2") = "3"
    & squares("3","2","3","1","1","1","1","3") = "3"
    & squares("3","2","3","1","1","1","2","1") = "3"
    & squares("3","2","3","1","1","1","2","2") = "3"
    & squares("3","2","3","1","1","1","2","3") = "3"
    & squares("3","2","3","1","1","1","3","1") = "3"
    & squares("3","2","3","1","1","1","3","2") = "3"
    & squares("3","2","3","1","1","1","3","3") = "3"
    & squares("3","2","3","1","1","2","1","1") = "3"
    & squares("3","2","3","1","1","2","1","2") = "3"
    & squares("3","2","3","1","1","2","1","3") = "3"
    & squares("3","2","3","1","1","2","2","1") = "3"
    & squares("3","2","3","1","1","2","2","2") = "3"
    & squares("3","2","3","1","1","2","2","3") = "3"
    & squares("3","2","3","1","1","2","3","1") = "3"
    & squares("3","2","3","1","1","2","3","2") = "3"
    & squares("3","2","3","1","1","2","3","3") = "3"
    & squares("3","2","3","1","1","3","1","1") = "3"
    & squares("3","2","3","1","1","3","1","2") = "3"
    & squares("3","2","3","1","1","3","1","3") = "3"
    & squares("3","2","3","1","1","3","2","1") = "3"
    & squares("3","2","3","1","1","3","2","2") = "3"
    & squares("3","2","3","1","1","3","2","3") = "3"
    & squares("3","2","3","1","1","3","3","1") = "3"
    & squares("3","2","3","1","1","3","3","2") = "3"
    & squares("3","2","3","1","1","3","3","3") = "3"
    & squares("3","2","3","1","2","1","1","1") = "3"
    & squares("3","2","3","1","2","1","1","2") = "3"
    & squares("3","2","3","1","2","1","1","3") = "3"
    & squares("3","2","3","1","2","1","2","1") = "3"
    & squares("3","2","3","1","2","1","2","2") = "3"
    & squares("3","2","3","1","2","1","2","3") = "3"
    & squares("3","2","3","1","2","1","3","1") = "3"
    & squares("3","2","3","1","2","1","3","2") = "3"
    & squares("3","2","3","1","2","1","3","3") = "3"
    & squares("3","2","3","1","2","2","1","1") = "3"
    & squares("3","2","3","1","2","2","1","2") = "3"
    & squares("3","2","3","1","2","2","1","3") = "3"
    & squares("3","2","3","1","2","2","2","1") = "3"
    & squares("3","2","3","1","2","2","2","2") = "3"
    & squares("3","2","3","1","2","2","2","3") = "3"
    & squares("3","2","3","1","2","2","3","1") = "3"
    & squares("3","2","3","1","2","2","3","2") = "3"
    & squares("3","2","3","1","2","2","3","3") = "3"
    & squares("3","2","3","1","2","3","1","1") = "3"
    & squares("3","2","3","1","2","3","1","2") = "3"
    & squares("3","2","3","1","2","3","1","3") = "3"
    & squares("3","2","3","1","2","3","2","1") = "3"
    & squares("3","2","3","1","2","3","2","2") = "3"
    & squares("3","2","3","1","2","3","2","3") = "3"
    & squares("3","2","3","1","2","3","3","1") = "3"
    & squares("3","2","3","1","2","3","3","2") = "3"
    & squares("3","2","3","1","2","3","3","3") = "3"
    & squares("3","2","3","1","3","1","1","1") = "3"
    & squares("3","2","3","1","3","1","1","2") = "3"
    & squares("3","2","3","1","3","1","1","3") = "3"
    & squares("3","2","3","1","3","1","2","1") = "3"
    & squares("3","2","3","1","3","1","2","2") = "3"
    & squares("3","2","3","1","3","1","2","3") = "3"
    & squares("3","2","3","1","3","1","3","1") = "3"
    & squares("3","2","3","1","3","1","3","2") = "3"
    & squares("3","2","3","1","3","1","3","3") = "3"
    & squares("3","2","3","1","3","2","1","1") = "3"
    & squares("3","2","3","1","3","2","1","2") = "3"
    & squares("3","2","3","1","3","2","1","3") = "3"
    & squares("3","2","3","1","3","2","2","1") = "3"
    & squares("3","2","3","1","3","2","2","2") = "3"
    & squares("3","2","3","1","3","2","2","3") = "3"
    & squares("3","2","3","1","3","2","3","1") = "3"
    & squares("3","2","3","1","3","2","3","2") = "3"
    & squares("3","2","3","1","3","2","3","3") = "3"
    & squares("3","2","3","1","3","3","1","1") = "3"
    & squares("3","2","3","1","3","3","1","2") = "3"
    & squares("3","2","3","1","3","3","1","3") = "3"
    & squares("3","2","3","1","3","3","2","1") = "3"
    & squares("3","2","3","1","3","3","2","2") = "3"
    & squares("3","2","3","1","3","3","2","3") = "3"
    & squares("3","2","3","1","3","3","3","1") = "3"
    & squares("3","2","3","1","3","3","3","2") = "3"
    & squares("3","2","3","1","3","3","3","3") = "3"
    & squares("3","2","3","2","1","1","1","1") = "3"
    & squares("3","2","3","2","1","1","1","2") = "3"
    & squares("3","2","3","2","1","1","1","3") = "3"
    & squares("3","2","3","2","1","1","2","1") = "3"
    & squares("3","2","3","2","1","1","2","2") = "3"
    & squares("3","2","3","2","1","1","2","3") = "3"
    & squares("3","2","3","2","1","1","3","1") = "3"
    & squares("3","2","3","2","1","1","3","2") = "3"
    & squares("3","2","3","2","1","1","3","3") = "3"
    & squares("3","2","3","2","1","2","1","1") = "3"
    & squares("3","2","3","2","1","2","1","2") = "3"
    & squares("3","2","3","2","1","2","1","3") = "3"
    & squares("3","2","3","2","1","2","2","1") = "3"
    & squares("3","2","3","2","1","2","2","2") = "3"
    & squares("3","2","3","2","1","2","2","3") = "3"
    & squares("3","2","3","2","1","2","3","1") = "3"
    & squares("3","2","3","2","1","2","3","2") = "3"
    & squares("3","2","3","2","1","2","3","3") = "3"
    & squares("3","2","3","2","1","3","1","1") = "3"
    & squares("3","2","3","2","1","3","1","2") = "3"
    & squares("3","2","3","2","1","3","1","3") = "3"
    & squares("3","2","3","2","1","3","2","1") = "3"
    & squares("3","2","3","2","1","3","2","2") = "3"
    & squares("3","2","3","2","1","3","2","3") = "3"
    & squares("3","2","3","2","1","3","3","1") = "3"
    & squares("3","2","3","2","1","3","3","2") = "3"
    & squares("3","2","3","2","1","3","3","3") = "3"
    & squares("3","2","3","2","2","1","1","1") = "3"
    & squares("3","2","3","2","2","1","1","2") = "3"
    & squares("3","2","3","2","2","1","1","3") = "3"
    & squares("3","2","3","2","2","1","2","1") = "3"
    & squares("3","2","3","2","2","1","2","2") = "3"
    & squares("3","2","3","2","2","1","2","3") = "3"
    & squares("3","2","3","2","2","1","3","1") = "3"
    & squares("3","2","3","2","2","1","3","2") = "3"
    & squares("3","2","3","2","2","1","3","3") = "3"
    & squares("3","2","3","2","2","2","1","1") = "3"
    & squares("3","2","3","2","2","2","1","2") = "3"
    & squares("3","2","3","2","2","2","1","3") = "3"
    & squares("3","2","3","2","2","2","2","1") = "3"
    & squares("3","2","3","2","2","2","2","2") = "3"
    & squares("3","2","3","2","2","2","2","3") = "3"
    & squares("3","2","3","2","2","2","3","1") = "3"
    & squares("3","2","3","2","2","2","3","2") = "3"
    & squares("3","2","3","2","2","2","3","3") = "3"
    & squares("3","2","3","2","2","3","1","1") = "3"
    & squares("3","2","3","2","2","3","1","2") = "3"
    & squares("3","2","3","2","2","3","1","3") = "3"
    & squares("3","2","3","2","2","3","2","1") = "3"
    & squares("3","2","3","2","2","3","2","2") = "3"
    & squares("3","2","3","2","2","3","2","3") = "3"
    & squares("3","2","3","2","2","3","3","1") = "3"
    & squares("3","2","3","2","2","3","3","2") = "3"
    & squares("3","2","3","2","2","3","3","3") = "3"
    & squares("3","2","3","2","3","1","1","1") = "3"
    & squares("3","2","3","2","3","1","1","2") = "3"
    & squares("3","2","3","2","3","1","1","3") = "3"
    & squares("3","2","3","2","3","1","2","1") = "3"
    & squares("3","2","3","2","3","1","2","2") = "3"
    & squares("3","2","3","2","3","1","2","3") = "3"
    & squares("3","2","3","2","3","1","3","1") = "3"
    & squares("3","2","3","2","3","1","3","2") = "3"
    & squares("3","2","3","2","3","1","3","3") = "3"
    & squares("3","2","3","2","3","2","1","1") = "3"
    & squares("3","2","3","2","3","2","1","2") = "3"
    & squares("3","2","3","2","3","2","1","3") = "3"
    & squares("3","2","3","2","3","2","2","1") = "3"
    & squares("3","2","3","2","3","2","2","2") = "3"
    & squares("3","2","3","2","3","2","2","3") = "3"
    & squares("3","2","3","2","3","2","3","1") = "3"
    & squares("3","2","3","2","3","2","3","2") = "3"
    & squares("3","2","3","2","3","2","3","3") = "3"
    & squares("3","2","3","2","3","3","1","1") = "3"
    & squares("3","2","3","2","3","3","1","2") = "3"
    & squares("3","2","3","2","3","3","1","3") = "3"
    & squares("3","2","3","2","3","3","2","1") = "3"
    & squares("3","2","3","2","3","3","2","2") = "3"
    & squares("3","2","3","2","3","3","2","3") = "3"
    & squares("3","2","3","2","3","3","3","1") = "3"
    & squares("3","2","3","2","3","3","3","2") = "3"
    & squares("3","2","3","2","3","3","3","3") = "3"
    & squares("3","2","3","3","1","1","1","1") = "3"
    & squares("3","2","3","3","1","1","1","2") = "3"
    & squares("3","2","3","3","1","1","1","3") = "3"
    & squares("3","2","3","3","1","1","2","1") = "3"
    & squares("3","2","3","3","1","1","2","2") = "3"
    & squares("3","2","3","3","1","1","2","3") = "3"
    & squares("3","2","3","3","1","1","3","1") = "3"
    & squares("3","2","3","3","1","1","3","2") = "3"
    & squares("3","2","3","3","1","1","3","3") = "3"
    & squares("3","2","3","3","1","2","1","1") = "3"
    & squares("3","2","3","3","1","2","1","2") = "3"
    & squares("3","2","3","3","1","2","1","3") = "3"
    & squares("3","2","3","3","1","2","2","1") = "3"
    & squares("3","2","3","3","1","2","2","2") = "3"
    & squares("3","2","3","3","1","2","2","3") = "3"
    & squares("3","2","3","3","1","2","3","1") = "3"
    & squares("3","2","3","3","1","2","3","2") = "3"
    & squares("3","2","3","3","1","2","3","3") = "3"
    & squares("3","2","3","3","1","3","1","1") = "3"
    & squares("3","2","3","3","1","3","1","2") = "3"
    & squares("3","2","3","3","1","3","1","3") = "3"
    & squares("3","2","3","3","1","3","2","1") = "3"
    & squares("3","2","3","3","1","3","2","2") = "3"
    & squares("3","2","3","3","1","3","2","3") = "3"
    & squares("3","2","3","3","1","3","3","1") = "3"
    & squares("3","2","3","3","1","3","3","2") = "3"
    & squares("3","2","3","3","1","3","3","3") = "3"
    & squares("3","2","3","3","2","1","1","1") = "3"
    & squares("3","2","3","3","2","1","1","2") = "3"
    & squares("3","2","3","3","2","1","1","3") = "3"
    & squares("3","2","3","3","2","1","2","1") = "3"
    & squares("3","2","3","3","2","1","2","2") = "3"
    & squares("3","2","3","3","2","1","2","3") = "3"
    & squares("3","2","3","3","2","1","3","1") = "3"
    & squares("3","2","3","3","2","1","3","2") = "3"
    & squares("3","2","3","3","2","1","3","3") = "3"
    & squares("3","2","3","3","2","2","1","1") = "3"
    & squares("3","2","3","3","2","2","1","2") = "3"
    & squares("3","2","3","3","2","2","1","3") = "3"
    & squares("3","2","3","3","2","2","2","1") = "3"
    & squares("3","2","3","3","2","2","2","2") = "3"
    & squares("3","2","3","3","2","2","2","3") = "3"
    & squares("3","2","3","3","2","2","3","1") = "3"
    & squares("3","2","3","3","2","2","3","2") = "3"
    & squares("3","2","3","3","2","2","3","3") = "3"
    & squares("3","2","3","3","2","3","1","1") = "3"
    & squares("3","2","3","3","2","3","1","2") = "3"
    & squares("3","2","3","3","2","3","1","3") = "3"
    & squares("3","2","3","3","2","3","2","1") = "3"
    & squares("3","2","3","3","2","3","2","2") = "3"
    & squares("3","2","3","3","2","3","2","3") = "3"
    & squares("3","2","3","3","2","3","3","1") = "3"
    & squares("3","2","3","3","2","3","3","2") = "3"
    & squares("3","2","3","3","2","3","3","3") = "3"
    & squares("3","2","3","3","3","1","1","1") = "3"
    & squares("3","2","3","3","3","1","1","2") = "3"
    & squares("3","2","3","3","3","1","1","3") = "3"
    & squares("3","2","3","3","3","1","2","1") = "3"
    & squares("3","2","3","3","3","1","2","2") = "3"
    & squares("3","2","3","3","3","1","2","3") = "3"
    & squares("3","2","3","3","3","1","3","1") = "3"
    & squares("3","2","3","3","3","1","3","2") = "3"
    & squares("3","2","3","3","3","1","3","3") = "3"
    & squares("3","2","3","3","3","2","1","1") = "3"
    & squares("3","2","3","3","3","2","1","2") = "3"
    & squares("3","2","3","3","3","2","1","3") = "3"
    & squares("3","2","3","3","3","2","2","1") = "3"
    & squares("3","2","3","3","3","2","2","2") = "3"
    & squares("3","2","3","3","3","2","2","3") = "3"
    & squares("3","2","3","3","3","2","3","1") = "3"
    & squares("3","2","3","3","3","2","3","2") = "3"
    & squares("3","2","3","3","3","2","3","3") = "3"
    & squares("3","2","3","3","3","3","1","1") = "3"
    & squares("3","2","3","3","3","3","1","2") = "3"
    & squares("3","2","3","3","3","3","1","3") = "3"
    & squares("3","2","3","3","3","3","2","1") = "3"
    & squares("3","2","3","3","3","3","2","2") = "3"
    & squares("3","2","3","3","3","3","2","3") = "3"
    & squares("3","2","3","3","3","3","3","1") = "3"
    & squares("3","2","3","3","3","3","3","2") = "3"
    & squares("3","2","3","3","3","3","3","3") = "3"
    & squares("3","3","1","1","1","1","1","1") = "3"
    & squares("3","3","1","1","1","1","1","2") = "3"
    & squares("3","3","1","1","1","1","1","3") = "3"
    & squares("3","3","1","1","1","1","2","1") = "3"
    & squares("3","3","1","1","1","1","2","2") = "3"
    & squares("3","3","1","1","1","1","2","3") = "3"
    & squares("3","3","1","1","1","1","3","1") = "3"
    & squares("3","3","1","1","1","1","3","2") = "3"
    & squares("3","3","1","1","1","1","3","3") = "3"
    & squares("3","3","1","1","1","2","1","1") = "3"
    & squares("3","3","1","1","1","2","1","2") = "3"
    & squares("3","3","1","1","1","2","1","3") = "3"
    & squares("3","3","1","1","1","2","2","1") = "3"
    & squares("3","3","1","1","1","2","2","2") = "3"
    & squares("3","3","1","1","1","2","2","3") = "3"
    & squares("3","3","1","1","1","2","3","1") = "3"
    & squares("3","3","1","1","1","2","3","2") = "3"
    & squares("3","3","1","1","1","2","3","3") = "3"
    & squares("3","3","1","1","1","3","1","1") = "3"
    & squares("3","3","1","1","1","3","1","2") = "3"
    & squares("3","3","1","1","1","3","1","3") = "3"
    & squares("3","3","1","1","1","3","2","1") = "3"
    & squares("3","3","1","1","1","3","2","2") = "3"
    & squares("3","3","1","1","1","3","2","3") = "3"
    & squares("3","3","1","1","1","3","3","1") = "3"
    & squares("3","3","1","1","1","3","3","2") = "3"
    & squares("3","3","1","1","1","3","3","3") = "3"
    & squares("3","3","1","1","2","1","1","1") = "3"
    & squares("3","3","1","1","2","1","1","2") = "3"
    & squares("3","3","1","1","2","1","1","3") = "3"
    & squares("3","3","1","1","2","1","2","1") = "3"
    & squares("3","3","1","1","2","1","2","2") = "3"
    & squares("3","3","1","1","2","1","2","3") = "3"
    & squares("3","3","1","1","2","1","3","1") = "3"
    & squares("3","3","1","1","2","1","3","2") = "3"
    & squares("3","3","1","1","2","1","3","3") = "3"
    & squares("3","3","1","1","2","2","1","1") = "3"
    & squares("3","3","1","1","2","2","1","2") = "3"
    & squares("3","3","1","1","2","2","1","3") = "3"
    & squares("3","3","1","1","2","2","2","1") = "3"
    & squares("3","3","1","1","2","2","2","2") = "3"
    & squares("3","3","1","1","2","2","2","3") = "3"
    & squares("3","3","1","1","2","2","3","1") = "3"
    & squares("3","3","1","1","2","2","3","2") = "3"
    & squares("3","3","1","1","2","2","3","3") = "3"
    & squares("3","3","1","1","2","3","1","1") = "3"
    & squares("3","3","1","1","2","3","1","2") = "3"
    & squares("3","3","1","1","2","3","1","3") = "3"
    & squares("3","3","1","1","2","3","2","1") = "3"
    & squares("3","3","1","1","2","3","2","2") = "3"
    & squares("3","3","1","1","2","3","2","3") = "3"
    & squares("3","3","1","1","2","3","3","1") = "3"
    & squares("3","3","1","1","2","3","3","2") = "3"
    & squares("3","3","1","1","2","3","3","3") = "3"
    & squares("3","3","1","1","3","1","1","1") = "3"
    & squares("3","3","1","1","3","1","1","2") = "3"
    & squares("3","3","1","1","3","1","1","3") = "3"
    & squares("3","3","1","1","3","1","2","1") = "3"
    & squares("3","3","1","1","3","1","2","2") = "3"
    & squares("3","3","1","1","3","1","2","3") = "3"
    & squares("3","3","1","1","3","1","3","1") = "3"
    & squares("3","3","1","1","3","1","3","2") = "3"
    & squares("3","3","1","1","3","1","3","3") = "3"
    & squares("3","3","1","1","3","2","1","1") = "3"
    & squares("3","3","1","1","3","2","1","2") = "3"
    & squares("3","3","1","1","3","2","1","3") = "3"
    & squares("3","3","1","1","3","2","2","1") = "3"
    & squares("3","3","1","1","3","2","2","2") = "3"
    & squares("3","3","1","1","3","2","2","3") = "3"
    & squares("3","3","1","1","3","2","3","1") = "3"
    & squares("3","3","1","1","3","2","3","2") = "3"
    & squares("3","3","1","1","3","2","3","3") = "3"
    & squares("3","3","1","1","3","3","1","1") = "3"
    & squares("3","3","1","1","3","3","1","2") = "3"
    & squares("3","3","1","1","3","3","1","3") = "3"
    & squares("3","3","1","1","3","3","2","1") = "3"
    & squares("3","3","1","1","3","3","2","2") = "3"
    & squares("3","3","1","1","3","3","2","3") = "3"
    & squares("3","3","1","1","3","3","3","1") = "3"
    & squares("3","3","1","1","3","3","3","2") = "3"
    & squares("3","3","1","1","3","3","3","3") = "3"
    & squares("3","3","1","2","1","1","1","1") = "3"
    & squares("3","3","1","2","1","1","1","2") = "3"
    & squares("3","3","1","2","1","1","1","3") = "3"
    & squares("3","3","1","2","1","1","2","1") = "3"
    & squares("3","3","1","2","1","1","2","2") = "3"
    & squares("3","3","1","2","1","1","2","3") = "3"
    & squares("3","3","1","2","1","1","3","1") = "3"
    & squares("3","3","1","2","1","1","3","2") = "3"
    & squares("3","3","1","2","1","1","3","3") = "3"
    & squares("3","3","1","2","1","2","1","1") = "3"
    & squares("3","3","1","2","1","2","1","2") = "3"
    & squares("3","3","1","2","1","2","1","3") = "3"
    & squares("3","3","1","2","1","2","2","1") = "3"
    & squares("3","3","1","2","1","2","2","2") = "3"
    & squares("3","3","1","2","1","2","2","3") = "3"
    & squares("3","3","1","2","1","2","3","1") = "3"
    & squares("3","3","1","2","1","2","3","2") = "3"
    & squares("3","3","1","2","1","2","3","3") = "3"
    & squares("3","3","1","2","1","3","1","1") = "3"
    & squares("3","3","1","2","1","3","1","2") = "3"
    & squares("3","3","1","2","1","3","1","3") = "3"
    & squares("3","3","1","2","1","3","2","1") = "3"
    & squares("3","3","1","2","1","3","2","2") = "3"
    & squares("3","3","1","2","1","3","2","3") = "3"
    & squares("3","3","1","2","1","3","3","1") = "3"
    & squares("3","3","1","2","1","3","3","2") = "3"
    & squares("3","3","1","2","1","3","3","3") = "3"
    & squares("3","3","1","2","2","1","1","1") = "3"
    & squares("3","3","1","2","2","1","1","2") = "3"
    & squares("3","3","1","2","2","1","1","3") = "3"
    & squares("3","3","1","2","2","1","2","1") = "3"
    & squares("3","3","1","2","2","1","2","2") = "3"
    & squares("3","3","1","2","2","1","2","3") = "3"
    & squares("3","3","1","2","2","1","3","1") = "3"
    & squares("3","3","1","2","2","1","3","2") = "3"
    & squares("3","3","1","2","2","1","3","3") = "3"
    & squares("3","3","1","2","2","2","1","1") = "3"
    & squares("3","3","1","2","2","2","1","2") = "3"
    & squares("3","3","1","2","2","2","1","3") = "3"
    & squares("3","3","1","2","2","2","2","1") = "3"
    & squares("3","3","1","2","2","2","2","2") = "3"
    & squares("3","3","1","2","2","2","2","3") = "3"
    & squares("3","3","1","2","2","2","3","1") = "3"
    & squares("3","3","1","2","2","2","3","2") = "3"
    & squares("3","3","1","2","2","2","3","3") = "3"
    & squares("3","3","1","2","2","3","1","1") = "3"
    & squares("3","3","1","2","2","3","1","2") = "3"
    & squares("3","3","1","2","2","3","1","3") = "3"
    & squares("3","3","1","2","2","3","2","1") = "3"
    & squares("3","3","1","2","2","3","2","2") = "3"
    & squares("3","3","1","2","2","3","2","3") = "3"
    & squares("3","3","1","2","2","3","3","1") = "3"
    & squares("3","3","1","2","2","3","3","2") = "3"
    & squares("3","3","1","2","2","3","3","3") = "3"
    & squares("3","3","1","2","3","1","1","1") = "3"
    & squares("3","3","1","2","3","1","1","2") = "3"
    & squares("3","3","1","2","3","1","1","3") = "3"
    & squares("3","3","1","2","3","1","2","1") = "3"
    & squares("3","3","1","2","3","1","2","2") = "3"
    & squares("3","3","1","2","3","1","2","3") = "3"
    & squares("3","3","1","2","3","1","3","1") = "3"
    & squares("3","3","1","2","3","1","3","2") = "3"
    & squares("3","3","1","2","3","1","3","3") = "3"
    & squares("3","3","1","2","3","2","1","1") = "3"
    & squares("3","3","1","2","3","2","1","2") = "3"
    & squares("3","3","1","2","3","2","1","3") = "3"
    & squares("3","3","1","2","3","2","2","1") = "3"
    & squares("3","3","1","2","3","2","2","2") = "3"
    & squares("3","3","1","2","3","2","2","3") = "3"
    & squares("3","3","1","2","3","2","3","1") = "3"
    & squares("3","3","1","2","3","2","3","2") = "3"
    & squares("3","3","1","2","3","2","3","3") = "3"
    & squares("3","3","1","2","3","3","1","1") = "3"
    & squares("3","3","1","2","3","3","1","2") = "3"
    & squares("3","3","1","2","3","3","1","3") = "3"
    & squares("3","3","1","2","3","3","2","1") = "3"
    & squares("3","3","1","2","3","3","2","2") = "3"
    & squares("3","3","1","2","3","3","2","3") = "3"
    & squares("3","3","1","2","3","3","3","1") = "3"
    & squares("3","3","1","2","3","3","3","2") = "3"
    & squares("3","3","1","2","3","3","3","3") = "3"
    & squares("3","3","1","3","1","1","1","1") = "3"
    & squares("3","3","1","3","1","1","1","2") = "3"
    & squares("3","3","1","3","1","1","1","3") = "3"
    & squares("3","3","1","3","1","1","2","1") = "3"
    & squares("3","3","1","3","1","1","2","2") = "3"
    & squares("3","3","1","3","1","1","2","3") = "3"
    & squares("3","3","1","3","1","1","3","1") = "3"
    & squares("3","3","1","3","1","1","3","2") = "3"
    & squares("3","3","1","3","1","1","3","3") = "3"
    & squares("3","3","1","3","1","2","1","1") = "3"
    & squares("3","3","1","3","1","2","1","2") = "3"
    & squares("3","3","1","3","1","2","1","3") = "3"
    & squares("3","3","1","3","1","2","2","1") = "3"
    & squares("3","3","1","3","1","2","2","2") = "3"
    & squares("3","3","1","3","1","2","2","3") = "3"
    & squares("3","3","1","3","1","2","3","1") = "3"
    & squares("3","3","1","3","1","2","3","2") = "3"
    & squares("3","3","1","3","1","2","3","3") = "3"
    & squares("3","3","1","3","1","3","1","1") = "3"
    & squares("3","3","1","3","1","3","1","2") = "3"
    & squares("3","3","1","3","1","3","1","3") = "3"
    & squares("3","3","1","3","1","3","2","1") = "3"
    & squares("3","3","1","3","1","3","2","2") = "3"
    & squares("3","3","1","3","1","3","2","3") = "3"
    & squares("3","3","1","3","1","3","3","1") = "3"
    & squares("3","3","1","3","1","3","3","2") = "3"
    & squares("3","3","1","3","1","3","3","3") = "3"
    & squares("3","3","1","3","2","1","1","1") = "3"
    & squares("3","3","1","3","2","1","1","2") = "3"
    & squares("3","3","1","3","2","1","1","3") = "3"
    & squares("3","3","1","3","2","1","2","1") = "3"
    & squares("3","3","1","3","2","1","2","2") = "3"
    & squares("3","3","1","3","2","1","2","3") = "3"
    & squares("3","3","1","3","2","1","3","1") = "3"
    & squares("3","3","1","3","2","1","3","2") = "3"
    & squares("3","3","1","3","2","1","3","3") = "3"
    & squares("3","3","1","3","2","2","1","1") = "3"
    & squares("3","3","1","3","2","2","1","2") = "3"
    & squares("3","3","1","3","2","2","1","3") = "3"
    & squares("3","3","1","3","2","2","2","1") = "3"
    & squares("3","3","1","3","2","2","2","2") = "3"
    & squares("3","3","1","3","2","2","2","3") = "3"
    & squares("3","3","1","3","2","2","3","1") = "3"
    & squares("3","3","1","3","2","2","3","2") = "3"
    & squares("3","3","1","3","2","2","3","3") = "3"
    & squares("3","3","1","3","2","3","1","1") = "3"
    & squares("3","3","1","3","2","3","1","2") = "3"
    & squares("3","3","1","3","2","3","1","3") = "3"
    & squares("3","3","1","3","2","3","2","1") = "3"
    & squares("3","3","1","3","2","3","2","2") = "3"
    & squares("3","3","1","3","2","3","2","3") = "3"
    & squares("3","3","1","3","2","3","3","1") = "3"
    & squares("3","3","1","3","2","3","3","2") = "3"
    & squares("3","3","1","3","2","3","3","3") = "3"
    & squares("3","3","1","3","3","1","1","1") = "3"
    & squares("3","3","1","3","3","1","1","2") = "3"
    & squares("3","3","1","3","3","1","1","3") = "3"
    & squares("3","3","1","3","3","1","2","1") = "3"
    & squares("3","3","1","3","3","1","2","2") = "3"
    & squares("3","3","1","3","3","1","2","3") = "3"
    & squares("3","3","1","3","3","1","3","1") = "3"
    & squares("3","3","1","3","3","1","3","2") = "3"
    & squares("3","3","1","3","3","1","3","3") = "3"
    & squares("3","3","1","3","3","2","1","1") = "3"
    & squares("3","3","1","3","3","2","1","2") = "3"
    & squares("3","3","1","3","3","2","1","3") = "3"
    & squares("3","3","1","3","3","2","2","1") = "3"
    & squares("3","3","1","3","3","2","2","2") = "3"
    & squares("3","3","1","3","3","2","2","3") = "3"
    & squares("3","3","1","3","3","2","3","1") = "3"
    & squares("3","3","1","3","3","2","3","2") = "3"
    & squares("3","3","1","3","3","2","3","3") = "3"
    & squares("3","3","1","3","3","3","1","1") = "3"
    & squares("3","3","1","3","3","3","1","2") = "3"
    & squares("3","3","1","3","3","3","1","3") = "3"
    & squares("3","3","1","3","3","3","2","1") = "3"
    & squares("3","3","1","3","3","3","2","2") = "3"
    & squares("3","3","1","3","3","3","2","3") = "3"
    & squares("3","3","1","3","3","3","3","1") = "3"
    & squares("3","3","1","3","3","3","3","2") = "3"
    & squares("3","3","1","3","3","3","3","3") = "3"
    & squares("3","3","2","1","1","1","1","1") = "3"
    & squares("3","3","2","1","1","1","1","2") = "3"
    & squares("3","3","2","1","1","1","1","3") = "3"
    & squares("3","3","2","1","1","1","2","1") = "3"
    & squares("3","3","2","1","1","1","2","2") = "3"
    & squares("3","3","2","1","1","1","2","3") = "3"
    & squares("3","3","2","1","1","1","3","1") = "3"
    & squares("3","3","2","1","1","1","3","2") = "3"
    & squares("3","3","2","1","1","1","3","3") = "3"
    & squares("3","3","2","1","1","2","1","1") = "3"
    & squares("3","3","2","1","1","2","1","2") = "3"
    & squares("3","3","2","1","1","2","1","3") = "3"
    & squares("3","3","2","1","1","2","2","1") = "3"
    & squares("3","3","2","1","1","2","2","2") = "3"
    & squares("3","3","2","1","1","2","2","3") = "3"
    & squares("3","3","2","1","1","2","3","1") = "3"
    & squares("3","3","2","1","1","2","3","2") = "3"
    & squares("3","3","2","1","1","2","3","3") = "3"
    & squares("3","3","2","1","1","3","1","1") = "3"
    & squares("3","3","2","1","1","3","1","2") = "3"
    & squares("3","3","2","1","1","3","1","3") = "3"
    & squares("3","3","2","1","1","3","2","1") = "3"
    & squares("3","3","2","1","1","3","2","2") = "3"
    & squares("3","3","2","1","1","3","2","3") = "3"
    & squares("3","3","2","1","1","3","3","1") = "3"
    & squares("3","3","2","1","1","3","3","2") = "3"
    & squares("3","3","2","1","1","3","3","3") = "3"
    & squares("3","3","2","1","2","1","1","1") = "3"
    & squares("3","3","2","1","2","1","1","2") = "3"
    & squares("3","3","2","1","2","1","1","3") = "3"
    & squares("3","3","2","1","2","1","2","1") = "3"
    & squares("3","3","2","1","2","1","2","2") = "3"
    & squares("3","3","2","1","2","1","2","3") = "3"
    & squares("3","3","2","1","2","1","3","1") = "3"
    & squares("3","3","2","1","2","1","3","2") = "3"
    & squares("3","3","2","1","2","1","3","3") = "3"
    & squares("3","3","2","1","2","2","1","1") = "3"
    & squares("3","3","2","1","2","2","1","2") = "3"
    & squares("3","3","2","1","2","2","1","3") = "3"
    & squares("3","3","2","1","2","2","2","1") = "3"
    & squares("3","3","2","1","2","2","2","2") = "3"
    & squares("3","3","2","1","2","2","2","3") = "3"
    & squares("3","3","2","1","2","2","3","1") = "3"
    & squares("3","3","2","1","2","2","3","2") = "3"
    & squares("3","3","2","1","2","2","3","3") = "3"
    & squares("3","3","2","1","2","3","1","1") = "3"
    & squares("3","3","2","1","2","3","1","2") = "3"
    & squares("3","3","2","1","2","3","1","3") = "3"
    & squares("3","3","2","1","2","3","2","1") = "3"
    & squares("3","3","2","1","2","3","2","2") = "3"
    & squares("3","3","2","1","2","3","2","3") = "3"
    & squares("3","3","2","1","2","3","3","1") = "3"
    & squares("3","3","2","1","2","3","3","2") = "3"
    & squares("3","3","2","1","2","3","3","3") = "3"
    & squares("3","3","2","1","3","1","1","1") = "3"
    & squares("3","3","2","1","3","1","1","2") = "3"
    & squares("3","3","2","1","3","1","1","3") = "3"
    & squares("3","3","2","1","3","1","2","1") = "3"
    & squares("3","3","2","1","3","1","2","2") = "3"
    & squares("3","3","2","1","3","1","2","3") = "3"
    & squares("3","3","2","1","3","1","3","1") = "3"
    & squares("3","3","2","1","3","1","3","2") = "3"
    & squares("3","3","2","1","3","1","3","3") = "3"
    & squares("3","3","2","1","3","2","1","1") = "3"
    & squares("3","3","2","1","3","2","1","2") = "3"
    & squares("3","3","2","1","3","2","1","3") = "3"
    & squares("3","3","2","1","3","2","2","1") = "3"
    & squares("3","3","2","1","3","2","2","2") = "3"
    & squares("3","3","2","1","3","2","2","3") = "3"
    & squares("3","3","2","1","3","2","3","1") = "3"
    & squares("3","3","2","1","3","2","3","2") = "3"
    & squares("3","3","2","1","3","2","3","3") = "3"
    & squares("3","3","2","1","3","3","1","1") = "3"
    & squares("3","3","2","1","3","3","1","2") = "3"
    & squares("3","3","2","1","3","3","1","3") = "3"
    & squares("3","3","2","1","3","3","2","1") = "3"
    & squares("3","3","2","1","3","3","2","2") = "3"
    & squares("3","3","2","1","3","3","2","3") = "3"
    & squares("3","3","2","1","3","3","3","1") = "3"
    & squares("3","3","2","1","3","3","3","2") = "3"
    & squares("3","3","2","1","3","3","3","3") = "3"
    & squares("3","3","2","2","1","1","1","1") = "3"
    & squares("3","3","2","2","1","1","1","2") = "3"
    & squares("3","3","2","2","1","1","1","3") = "3"
    & squares("3","3","2","2","1","1","2","1") = "3"
    & squares("3","3","2","2","1","1","2","2") = "3"
    & squares("3","3","2","2","1","1","2","3") = "3"
    & squares("3","3","2","2","1","1","3","1") = "3"
    & squares("3","3","2","2","1","1","3","2") = "3"
    & squares("3","3","2","2","1","1","3","3") = "3"
    & squares("3","3","2","2","1","2","1","1") = "3"
    & squares("3","3","2","2","1","2","1","2") = "3"
    & squares("3","3","2","2","1","2","1","3") = "3"
    & squares("3","3","2","2","1","2","2","1") = "3"
    & squares("3","3","2","2","1","2","2","2") = "3"
    & squares("3","3","2","2","1","2","2","3") = "3"
    & squares("3","3","2","2","1","2","3","1") = "3"
    & squares("3","3","2","2","1","2","3","2") = "3"
    & squares("3","3","2","2","1","2","3","3") = "3"
    & squares("3","3","2","2","1","3","1","1") = "3"
    & squares("3","3","2","2","1","3","1","2") = "3"
    & squares("3","3","2","2","1","3","1","3") = "3"
    & squares("3","3","2","2","1","3","2","1") = "3"
    & squares("3","3","2","2","1","3","2","2") = "3"
    & squares("3","3","2","2","1","3","2","3") = "3"
    & squares("3","3","2","2","1","3","3","1") = "3"
    & squares("3","3","2","2","1","3","3","2") = "3"
    & squares("3","3","2","2","1","3","3","3") = "3"
    & squares("3","3","2","2","2","1","1","1") = "3"
    & squares("3","3","2","2","2","1","1","2") = "3"
    & squares("3","3","2","2","2","1","1","3") = "3"
    & squares("3","3","2","2","2","1","2","1") = "3"
    & squares("3","3","2","2","2","1","2","2") = "3"
    & squares("3","3","2","2","2","1","2","3") = "3"
    & squares("3","3","2","2","2","1","3","1") = "3"
    & squares("3","3","2","2","2","1","3","2") = "3"
    & squares("3","3","2","2","2","1","3","3") = "3"
    & squares("3","3","2","2","2","2","1","1") = "3"
    & squares("3","3","2","2","2","2","1","2") = "3"
    & squares("3","3","2","2","2","2","1","3") = "3"
    & squares("3","3","2","2","2","2","2","1") = "3"
    & squares("3","3","2","2","2","2","2","2") = "3"
    & squares("3","3","2","2","2","2","2","3") = "3"
    & squares("3","3","2","2","2","2","3","1") = "3"
    & squares("3","3","2","2","2","2","3","2") = "3"
    & squares("3","3","2","2","2","2","3","3") = "3"
    & squares("3","3","2","2","2","3","1","1") = "3"
    & squares("3","3","2","2","2","3","1","2") = "3"
    & squares("3","3","2","2","2","3","1","3") = "3"
    & squares("3","3","2","2","2","3","2","1") = "3"
    & squares("3","3","2","2","2","3","2","2") = "3"
    & squares("3","3","2","2","2","3","2","3") = "3"
    & squares("3","3","2","2","2","3","3","1") = "3"
    & squares("3","3","2","2","2","3","3","2") = "3"
    & squares("3","3","2","2","2","3","3","3") = "3"
    & squares("3","3","2","2","3","1","1","1") = "3"
    & squares("3","3","2","2","3","1","1","2") = "3"
    & squares("3","3","2","2","3","1","1","3") = "3"
    & squares("3","3","2","2","3","1","2","1") = "3"
    & squares("3","3","2","2","3","1","2","2") = "3"
    & squares("3","3","2","2","3","1","2","3") = "3"
    & squares("3","3","2","2","3","1","3","1") = "3"
    & squares("3","3","2","2","3","1","3","2") = "3"
    & squares("3","3","2","2","3","1","3","3") = "3"
    & squares("3","3","2","2","3","2","1","1") = "3"
    & squares("3","3","2","2","3","2","1","2") = "3"
    & squares("3","3","2","2","3","2","1","3") = "3"
    & squares("3","3","2","2","3","2","2","1") = "3"
    & squares("3","3","2","2","3","2","2","2") = "3"
    & squares("3","3","2","2","3","2","2","3") = "3"
    & squares("3","3","2","2","3","2","3","1") = "3"
    & squares("3","3","2","2","3","2","3","2") = "3"
    & squares("3","3","2","2","3","2","3","3") = "3"
    & squares("3","3","2","2","3","3","1","1") = "3"
    & squares("3","3","2","2","3","3","1","2") = "3"
    & squares("3","3","2","2","3","3","1","3") = "3"
    & squares("3","3","2","2","3","3","2","1") = "3"
    & squares("3","3","2","2","3","3","2","2") = "3"
    & squares("3","3","2","2","3","3","2","3") = "3"
    & squares("3","3","2","2","3","3","3","1") = "3"
    & squares("3","3","2","2","3","3","3","2") = "3"
    & squares("3","3","2","2","3","3","3","3") = "3"
    & squares("3","3","2","3","1","1","1","1") = "3"
    & squares("3","3","2","3","1","1","1","2") = "3"
    & squares("3","3","2","3","1","1","1","3") = "3"
    & squares("3","3","2","3","1","1","2","1") = "3"
    & squares("3","3","2","3","1","1","2","2") = "3"
    & squares("3","3","2","3","1","1","2","3") = "3"
    & squares("3","3","2","3","1","1","3","1") = "3"
    & squares("3","3","2","3","1","1","3","2") = "3"
    & squares("3","3","2","3","1","1","3","3") = "3"
    & squares("3","3","2","3","1","2","1","1") = "3"
    & squares("3","3","2","3","1","2","1","2") = "3"
    & squares("3","3","2","3","1","2","1","3") = "3"
    & squares("3","3","2","3","1","2","2","1") = "3"
    & squares("3","3","2","3","1","2","2","2") = "3"
    & squares("3","3","2","3","1","2","2","3") = "3"
    & squares("3","3","2","3","1","2","3","1") = "3"
    & squares("3","3","2","3","1","2","3","2") = "3"
    & squares("3","3","2","3","1","2","3","3") = "3"
    & squares("3","3","2","3","1","3","1","1") = "3"
    & squares("3","3","2","3","1","3","1","2") = "3"
    & squares("3","3","2","3","1","3","1","3") = "3"
    & squares("3","3","2","3","1","3","2","1") = "3"
    & squares("3","3","2","3","1","3","2","2") = "3"
    & squares("3","3","2","3","1","3","2","3") = "3"
    & squares("3","3","2","3","1","3","3","1") = "3"
    & squares("3","3","2","3","1","3","3","2") = "3"
    & squares("3","3","2","3","1","3","3","3") = "3"
    & squares("3","3","2","3","2","1","1","1") = "3"
    & squares("3","3","2","3","2","1","1","2") = "3"
    & squares("3","3","2","3","2","1","1","3") = "3"
    & squares("3","3","2","3","2","1","2","1") = "3"
    & squares("3","3","2","3","2","1","2","2") = "3"
    & squares("3","3","2","3","2","1","2","3") = "3"
    & squares("3","3","2","3","2","1","3","1") = "3"
    & squares("3","3","2","3","2","1","3","2") = "3"
    & squares("3","3","2","3","2","1","3","3") = "3"
    & squares("3","3","2","3","2","2","1","1") = "3"
    & squares("3","3","2","3","2","2","1","2") = "3"
    & squares("3","3","2","3","2","2","1","3") = "3"
    & squares("3","3","2","3","2","2","2","1") = "3"
    & squares("3","3","2","3","2","2","2","2") = "3"
    & squares("3","3","2","3","2","2","2","3") = "3"
    & squares("3","3","2","3","2","2","3","1") = "3"
    & squares("3","3","2","3","2","2","3","2") = "3"
    & squares("3","3","2","3","2","2","3","3") = "3"
    & squares("3","3","2","3","2","3","1","1") = "3"
    & squares("3","3","2","3","2","3","1","2") = "3"
    & squares("3","3","2","3","2","3","1","3") = "3"
    & squares("3","3","2","3","2","3","2","1") = "3"
    & squares("3","3","2","3","2","3","2","2") = "3"
    & squares("3","3","2","3","2","3","2","3") = "3"
    & squares("3","3","2","3","2","3","3","1") = "3"
    & squares("3","3","2","3","2","3","3","2") = "3"
    & squares("3","3","2","3","2","3","3","3") = "3"
    & squares("3","3","2","3","3","1","1","1") = "3"
    & squares("3","3","2","3","3","1","1","2") = "3"
    & squares("3","3","2","3","3","1","1","3") = "3"
    & squares("3","3","2","3","3","1","2","1") = "3"
    & squares("3","3","2","3","3","1","2","2") = "3"
    & squares("3","3","2","3","3","1","2","3") = "3"
    & squares("3","3","2","3","3","1","3","1") = "3"
    & squares("3","3","2","3","3","1","3","2") = "3"
    & squares("3","3","2","3","3","1","3","3") = "3"
    & squares("3","3","2","3","3","2","1","1") = "3"
    & squares("3","3","2","3","3","2","1","2") = "3"
    & squares("3","3","2","3","3","2","1","3") = "3"
    & squares("3","3","2","3","3","2","2","1") = "3"
    & squares("3","3","2","3","3","2","2","2") = "3"
    & squares("3","3","2","3","3","2","2","3") = "3"
    & squares("3","3","2","3","3","2","3","1") = "3"
    & squares("3","3","2","3","3","2","3","2") = "3"
    & squares("3","3","2","3","3","2","3","3") = "3"
    & squares("3","3","2","3","3","3","1","1") = "3"
    & squares("3","3","2","3","3","3","1","2") = "3"
    & squares("3","3","2","3","3","3","1","3") = "3"
    & squares("3","3","2","3","3","3","2","1") = "3"
    & squares("3","3","2","3","3","3","2","2") = "3"
    & squares("3","3","2","3","3","3","2","3") = "3"
    & squares("3","3","2","3","3","3","3","1") = "3"
    & squares("3","3","2","3","3","3","3","2") = "3"
    & squares("3","3","2","3","3","3","3","3") = "3"
    & squares("3","3","3","1","1","1","1","1") = "3"
    & squares("3","3","3","1","1","1","1","2") = "3"
    & squares("3","3","3","1","1","1","1","3") = "3"
    & squares("3","3","3","1","1","1","2","1") = "3"
    & squares("3","3","3","1","1","1","2","2") = "3"
    & squares("3","3","3","1","1","1","2","3") = "3"
    & squares("3","3","3","1","1","1","3","1") = "3"
    & squares("3","3","3","1","1","1","3","2") = "3"
    & squares("3","3","3","1","1","1","3","3") = "3"
    & squares("3","3","3","1","1","2","1","1") = "3"
    & squares("3","3","3","1","1","2","1","2") = "3"
    & squares("3","3","3","1","1","2","1","3") = "3"
    & squares("3","3","3","1","1","2","2","1") = "3"
    & squares("3","3","3","1","1","2","2","2") = "3"
    & squares("3","3","3","1","1","2","2","3") = "3"
    & squares("3","3","3","1","1","2","3","1") = "3"
    & squares("3","3","3","1","1","2","3","2") = "3"
    & squares("3","3","3","1","1","2","3","3") = "3"
    & squares("3","3","3","1","1","3","1","1") = "3"
    & squares("3","3","3","1","1","3","1","2") = "3"
    & squares("3","3","3","1","1","3","1","3") = "3"
    & squares("3","3","3","1","1","3","2","1") = "3"
    & squares("3","3","3","1","1","3","2","2") = "3"
    & squares("3","3","3","1","1","3","2","3") = "3"
    & squares("3","3","3","1","1","3","3","1") = "3"
    & squares("3","3","3","1","1","3","3","2") = "3"
    & squares("3","3","3","1","1","3","3","3") = "3"
    & squares("3","3","3","1","2","1","1","1") = "3"
    & squares("3","3","3","1","2","1","1","2") = "3"
    & squares("3","3","3","1","2","1","1","3") = "3"
    & squares("3","3","3","1","2","1","2","1") = "3"
    & squares("3","3","3","1","2","1","2","2") = "3"
    & squares("3","3","3","1","2","1","2","3") = "3"
    & squares("3","3","3","1","2","1","3","1") = "3"
    & squares("3","3","3","1","2","1","3","2") = "3"
    & squares("3","3","3","1","2","1","3","3") = "3"
    & squares("3","3","3","1","2","2","1","1") = "3"
    & squares("3","3","3","1","2","2","1","2") = "3"
    & squares("3","3","3","1","2","2","1","3") = "3"
    & squares("3","3","3","1","2","2","2","1") = "3"
    & squares("3","3","3","1","2","2","2","2") = "3"
    & squares("3","3","3","1","2","2","2","3") = "3"
    & squares("3","3","3","1","2","2","3","1") = "3"
    & squares("3","3","3","1","2","2","3","2") = "3"
    & squares("3","3","3","1","2","2","3","3") = "3"
    & squares("3","3","3","1","2","3","1","1") = "3"
    & squares("3","3","3","1","2","3","1","2") = "3"
    & squares("3","3","3","1","2","3","1","3") = "3"
    & squares("3","3","3","1","2","3","2","1") = "3"
    & squares("3","3","3","1","2","3","2","2") = "3"
    & squares("3","3","3","1","2","3","2","3") = "3"
    & squares("3","3","3","1","2","3","3","1") = "3"
    & squares("3","3","3","1","2","3","3","2") = "3"
    & squares("3","3","3","1","2","3","3","3") = "3"
    & squares("3","3","3","1","3","1","1","1") = "3"
    & squares("3","3","3","1","3","1","1","2") = "3"
    & squares("3","3","3","1","3","1","1","3") = "3"
    & squares("3","3","3","1","3","1","2","1") = "3"
    & squares("3","3","3","1","3","1","2","2") = "3"
    & squares("3","3","3","1","3","1","2","3") = "3"
    & squares("3","3","3","1","3","1","3","1") = "3"
    & squares("3","3","3","1","3","1","3","2") = "3"
    & squares("3","3","3","1","3","1","3","3") = "3"
    & squares("3","3","3","1","3","2","1","1") = "3"
    & squares("3","3","3","1","3","2","1","2") = "3"
    & squares("3","3","3","1","3","2","1","3") = "3"
    & squares("3","3","3","1","3","2","2","1") = "3"
    & squares("3","3","3","1","3","2","2","2") = "3"
    & squares("3","3","3","1","3","2","2","3") = "3"
    & squares("3","3","3","1","3","2","3","1") = "3"
    & squares("3","3","3","1","3","2","3","2") = "3"
    & squares("3","3","3","1","3","2","3","3") = "3"
    & squares("3","3","3","1","3","3","1","1") = "3"
    & squares("3","3","3","1","3","3","1","2") = "3"
    & squares("3","3","3","1","3","3","1","3") = "3"
    & squares("3","3","3","1","3","3","2","1") = "3"
    & squares("3","3","3","1","3","3","2","2") = "3"
    & squares("3","3","3","1","3","3","2","3") = "3"
    & squares("3","3","3","1","3","3","3","1") = "3"
    & squares("3","3","3","1","3","3","3","2") = "3"
    & squares("3","3","3","1","3","3","3","3") = "3"
    & squares("3","3","3","2","1","1","1","1") = "3"
    & squares("3","3","3","2","1","1","1","2") = "3"
    & squares("3","3","3","2","1","1","1","3") = "3"
    & squares("3","3","3","2","1","1","2","1") = "3"
    & squares("3","3","3","2","1","1","2","2") = "3"
    & squares("3","3","3","2","1","1","2","3") = "3"
    & squares("3","3","3","2","1","1","3","1") = "3"
    & squares("3","3","3","2","1","1","3","2") = "3"
    & squares("3","3","3","2","1","1","3","3") = "3"
    & squares("3","3","3","2","1","2","1","1") = "3"
    & squares("3","3","3","2","1","2","1","2") = "3"
    & squares("3","3","3","2","1","2","1","3") = "3"
    & squares("3","3","3","2","1","2","2","1") = "3"
    & squares("3","3","3","2","1","2","2","2") = "3"
    & squares("3","3","3","2","1","2","2","3") = "3"
    & squares("3","3","3","2","1","2","3","1") = "3"
    & squares("3","3","3","2","1","2","3","2") = "3"
    & squares("3","3","3","2","1","2","3","3") = "3"
    & squares("3","3","3","2","1","3","1","1") = "3"
    & squares("3","3","3","2","1","3","1","2") = "3"
    & squares("3","3","3","2","1","3","1","3") = "3"
    & squares("3","3","3","2","1","3","2","1") = "3"
    & squares("3","3","3","2","1","3","2","2") = "3"
    & squares("3","3","3","2","1","3","2","3") = "3"
    & squares("3","3","3","2","1","3","3","1") = "3"
    & squares("3","3","3","2","1","3","3","2") = "3"
    & squares("3","3","3","2","1","3","3","3") = "3"
    & squares("3","3","3","2","2","1","1","1") = "3"
    & squares("3","3","3","2","2","1","1","2") = "3"
    & squares("3","3","3","2","2","1","1","3") = "3"
    & squares("3","3","3","2","2","1","2","1") = "3"
    & squares("3","3","3","2","2","1","2","2") = "3"
    & squares("3","3","3","2","2","1","2","3") = "3"
    & squares("3","3","3","2","2","1","3","1") = "3"
    & squares("3","3","3","2","2","1","3","2") = "3"
    & squares("3","3","3","2","2","1","3","3") = "3"
    & squares("3","3","3","2","2","2","1","1") = "3"
    & squares("3","3","3","2","2","2","1","2") = "3"
    & squares("3","3","3","2","2","2","1","3") = "3"
    & squares("3","3","3","2","2","2","2","1") = "3"
    & squares("3","3","3","2","2","2","2","2") = "3"
    & squares("3","3","3","2","2","2","2","3") = "3"
    & squares("3","3","3","2","2","2","3","1") = "3"
    & squares("3","3","3","2","2","2","3","2") = "3"
    & squares("3","3","3","2","2","2","3","3") = "3"
    & squares("3","3","3","2","2","3","1","1") = "3"
    & squares("3","3","3","2","2","3","1","2") = "3"
    & squares("3","3","3","2","2","3","1","3") = "3"
    & squares("3","3","3","2","2","3","2","1") = "3"
    & squares("3","3","3","2","2","3","2","2") = "3"
    & squares("3","3","3","2","2","3","2","3") = "3"
    & squares("3","3","3","2","2","3","3","1") = "3"
    & squares("3","3","3","2","2","3","3","2") = "3"
    & squares("3","3","3","2","2","3","3","3") = "3"
    & squares("3","3","3","2","3","1","1","1") = "3"
    & squares("3","3","3","2","3","1","1","2") = "3"
    & squares("3","3","3","2","3","1","1","3") = "3"
    & squares("3","3","3","2","3","1","2","1") = "3"
    & squares("3","3","3","2","3","1","2","2") = "3"
    & squares("3","3","3","2","3","1","2","3") = "3"
    & squares("3","3","3","2","3","1","3","1") = "3"
    & squares("3","3","3","2","3","1","3","2") = "3"
    & squares("3","3","3","2","3","1","3","3") = "3"
    & squares("3","3","3","2","3","2","1","1") = "3"
    & squares("3","3","3","2","3","2","1","2") = "3"
    & squares("3","3","3","2","3","2","1","3") = "3"
    & squares("3","3","3","2","3","2","2","1") = "3"
    & squares("3","3","3","2","3","2","2","2") = "3"
    & squares("3","3","3","2","3","2","2","3") = "3"
    & squares("3","3","3","2","3","2","3","1") = "3"
    & squares("3","3","3","2","3","2","3","2") = "3"
    & squares("3","3","3","2","3","2","3","3") = "3"
    & squares("3","3","3","2","3","3","1","1") = "3"
    & squares("3","3","3","2","3","3","1","2") = "3"
    & squares("3","3","3","2","3","3","1","3") = "3"
    & squares("3","3","3","2","3","3","2","1") = "3"
    & squares("3","3","3","2","3","3","2","2") = "3"
    & squares("3","3","3","2","3","3","2","3") = "3"
    & squares("3","3","3","2","3","3","3","1") = "3"
    & squares("3","3","3","2","3","3","3","2") = "3"
    & squares("3","3","3","2","3","3","3","3") = "3"
    & squares("3","3","3","3","1","1","1","1") = "3"
    & squares("3","3","3","3","1","1","1","2") = "3"
    & squares("3","3","3","3","1","1","1","3") = "3"
    & squares("3","3","3","3","1","1","2","1") = "3"
    & squares("3","3","3","3","1","1","2","2") = "3"
    & squares("3","3","3","3","1","1","2","3") = "3"
    & squares("3","3","3","3","1","1","3","1") = "3"
    & squares("3","3","3","3","1","1","3","2") = "3"
    & squares("3","3","3","3","1","1","3","3") = "3"
    & squares("3","3","3","3","1","2","1","1") = "3"
    & squares("3","3","3","3","1","2","1","2") = "3"
    & squares("3","3","3","3","1","2","1","3") = "3"
    & squares("3","3","3","3","1","2","2","1") = "3"
    & squares("3","3","3","3","1","2","2","2") = "3"
    & squares("3","3","3","3","1","2","2","3") = "3"
    & squares("3","3","3","3","1","2","3","1") = "3"
    & squares("3","3","3","3","1","2","3","2") = "3"
    & squares("3","3","3","3","1","2","3","3") = "3"
    & squares("3","3","3","3","1","3","1","1") = "3"
    & squares("3","3","3","3","1","3","1","2") = "3"
    & squares("3","3","3","3","1","3","1","3") = "3"
    & squares("3","3","3","3","1","3","2","1") = "3"
    & squares("3","3","3","3","1","3","2","2") = "3"
    & squares("3","3","3","3","1","3","2","3") = "3"
    & squares("3","3","3","3","1","3","3","1") = "3"
    & squares("3","3","3","3","1","3","3","2") = "3"
    & squares("3","3","3","3","1","3","3","3") = "3"
    & squares("3","3","3","3","2","1","1","1") = "3"
    & squares("3","3","3","3","2","1","1","2") = "3"
    & squares("3","3","3","3","2","1","1","3") = "3"
    & squares("3","3","3","3","2","1","2","1") = "3"
    & squares("3","3","3","3","2","1","2","2") = "3"
    & squares("3","3","3","3","2","1","2","3") = "3"
    & squares("3","3","3","3","2","1","3","1") = "3"
    & squares("3","3","3","3","2","1","3","2") = "3"
    & squares("3","3","3","3","2","1","3","3") = "3"
    & squares("3","3","3","3","2","2","1","1") = "3"
    & squares("3","3","3","3","2","2","1","2") = "3"
    & squares("3","3","3","3","2","2","1","3") = "3"
    & squares("3","3","3","3","2","2","2","1") = "3"
    & squares("3","3","3","3","2","2","2","2") = "3"
    & squares("3","3","3","3","2","2","2","3") = "3"
    & squares("3","3","3","3","2","2","3","1") = "3"
    & squares("3","3","3","3","2","2","3","2") = "3"
    & squares("3","3","3","3","2","2","3","3") = "3"
    & squares("3","3","3","3","2","3","1","1") = "3"
    & squares("3","3","3","3","2","3","1","2") = "3"
    & squares("3","3","3","3","2","3","1","3") = "3"
    & squares("3","3","3","3","2","3","2","1") = "3"
    & squares("3","3","3","3","2","3","2","2") = "3"
    & squares("3","3","3","3","2","3","2","3") = "3"
    & squares("3","3","3","3","2","3","3","1") = "3"
    & squares("3","3","3","3","2","3","3","2") = "3"
    & squares("3","3","3","3","2","3","3","3") = "3"
    & squares("3","3","3","3","3","1","1","1") = "3"
    & squares("3","3","3","3","3","1","1","2") = "3"
    & squares("3","3","3","3","3","1","1","3") = "3"
    & squares("3","3","3","3","3","1","2","1") = "3"
    & squares("3","3","3","3","3","1","2","2") = "3"
    & squares("3","3","3","3","3","1","2","3") = "3"
    & squares("3","3","3","3","3","1","3","1") = "3"
    & squares("3","3","3","3","3","1","3","2") = "3"
    & squares("3","3","3","3","3","1","3","3") = "3"
    & squares("3","3","3","3","3","2","1","1") = "3"
    & squares("3","3","3","3","3","2","1","2") = "3"
    & squares("3","3","3","3","3","2","1","3") = "3"
    & squares("3","3","3","3","3","2","2","1") = "3"
    & squares("3","3","3","3","3","2","2","2") = "3"
    & squares("3","3","3","3","3","2","2","3") = "3"
    & squares("3","3","3","3","3","2","3","1") = "3"
    & squares("3","3","3","3","3","2","3","2") = "3"
    & squares("3","3","3","3","3","2","3","3") = "3"
    & squares("3","3","3","3","3","3","1","1") = "3"
    & squares("3","3","3","3","3","3","1","2") = "3"
    & squares("3","3","3","3","3","3","1","3") = "3"
    & squares("3","3","3","3","3","3","2","1") = "3"
    & squares("3","3","3","3","3","3","2","2") = "3"
    & squares("3","3","3","3","3","3","2","3") = "3"
    & squares("3","3","3","3","3","3","3","1") = "3"
    & squares("3","3","3","3","3","3","3","2") = "3"
    & squares("3","3","3","3","3","3","3","3") = "3" ) ).

fof(successor,fi_functors,
    ( successor("1") = "2"
    & successor("2") = "1"
    & successor("3") = "1" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : PUZ015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 23:39:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  Paradox, version 4.0, 2010-06-29.
% 0.12/0.33  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.12/0.34  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.92  +++ BEGIN MODEL
% 0.76/0.92  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.79/0.98  +++ END MODEL
% 0.79/1.00  +++ RESULT: Satisfiable
% 0.79/1.00  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------