Sudoku: Difference between revisions
Content deleted Content added
→{{header|Tailspin}}: clearer code for output |
SqrtNegInf (talk | contribs) m →{{header|Raku}}: 'use v6' obsolete, default to no logging |
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Line 8,903: | Line 8,903: | ||
{{trans|Perl}} |
{{trans|Perl}} |
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<lang perl6> |
<lang perl6>my @A = < |
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my @A = < |
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5 3 0 0 2 4 7 0 0 |
5 3 0 0 2 4 7 0 0 |
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0 0 2 0 0 0 8 0 0 |
0 0 2 0 0 0 8 0 0 |
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Line 8,961: | Line 8,960: | ||
This is an alternative solution that uses a more ellaborate set of choices instead of brute-forcing it. |
This is an alternative solution that uses a more ellaborate set of choices instead of brute-forcing it. |
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<lang perl6># |
<lang perl6># |
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use v6; |
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# |
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# In this code, a sudoku puzzle is represented as a two-dimentional |
# In this code, a sudoku puzzle is represented as a two-dimentional |
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# array. The cells that are not yet solved are represented by yet |
# array. The cells that are not yet solved are represented by yet |
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Line 9,166: | Line 9,163: | ||
sub trace(Int $level, Str $message) { |
sub trace(Int $level, Str $message) { |
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say '.' x $level, $message; |
# say '.' x $level, $message; # un-comment for verbose logging |
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} |
} |
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Line 9,187: | Line 9,184: | ||
{{out}} |
{{out}} |
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<pre> 9 5 4 1 3 7 6 8 2 |
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<pre> |
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Trying 8 on 9,1 [8, 9] |
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.Trying 6 on 9,2 [3, 6] |
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..Trying 7 on 9,9 [3, 7] |
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...Trying 1 on 9,8 [1, 3] |
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....Trying 4 on 8,1 [4, 5] |
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.....Trying 3 on 7,2 [3, 5] |
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......Trying 3 on 8,7 [2, 3] |
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.......Trying 6 on 8,9 [2, 6] |
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.......Trying 2 on 8,9 [2, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Trying 2 on 8,7 [2, 3] |
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.......Trying 3 on 8,9 [3, 6] |
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.......Trying 6 on 8,9 [3, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Backtrack, path unsolvable... (on 8 7) |
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.....Trying 5 on 7,2 [3, 5] |
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......Trying 5 on 8,7 [2, 5] |
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.......Trying 6 on 8,9 [2, 6] |
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.......Trying 2 on 8,9 [2, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Trying 2 on 8,7 [2, 5] |
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.......Trying 5 on 8,9 [5, 6] |
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.......Trying 6 on 8,9 [5, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Backtrack, path unsolvable... (on 8 7) |
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.....Backtrack, path unsolvable... (on 7 2) |
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....Trying 5 on 8,1 [4, 5] |
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.....Trying 3 on 8,3 [3, 4] |
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......Trying 6 on 8,9 [2, 6] |
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.......Trying 3 on 7,9 [3, 5] |
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........Trying 5 on 1,9 [2, 5] |
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.........Trying 3 on 3,8 [3, 7] |
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..........Trying 4 on 2,1 [1, 4] |
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..........Trying 1 on 2,1 [1, 4] |
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..........Backtrack, path unsolvable... (on 2 1) |
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.........Trying 7 on 3,8 [3, 7] |
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..........Trying 3 on 3,7 [1, 3] |
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..........Trying 1 on 3,7 [1, 3] |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Trying 2 on 1,9 [2, 5] |
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.........Trying 3 on 3,8 [3, 7] |
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..........Trying 7 on 2,7 [1, 7] |
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...........Trying 9 on 3,1 [2, 9] |
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...........Trying 2 on 3,1 [2, 9] |
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...........Backtrack, path unsolvable... (on 3 1) |
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..........Trying 1 on 2,7 [1, 7] |
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..........Backtrack, path unsolvable... (on 2 7) |
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.........Trying 7 on 3,8 [3, 7] |
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..........Trying 3 on 3,7 [1, 3] |
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..........Trying 1 on 3,7 [1, 3] |
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...........Trying 9 on 3,1 [2, 9] |
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...........Trying 2 on 3,1 [2, 9] |
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...........Backtrack, path unsolvable... (on 3 1) |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Backtrack, path unsolvable... (on 1 9) |
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.......Trying 5 on 7,9 [3, 5] |
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........Trying 8 on 1,9 [2, 8] |
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.........Trying 2 on 3,7 [1, 2] |
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.........Trying 1 on 3,7 [1, 2] |
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.........Backtrack, path unsolvable... (on 3 7) |
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........Trying 2 on 1,9 [2, 8] |
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.........Trying 7 on 3,8 [5, 7] |
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..........Trying 5 on 3,7 [1, 5] |
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...........Trying 2 on 2,1 [2, 4] |
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...........Trying 4 on 2,1 [2, 4] |
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...........Backtrack, path unsolvable... (on 2 1) |
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..........Trying 1 on 3,7 [1, 5] |
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...........Trying 9 on 3,1 [2, 9] |
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...........Trying 2 on 3,1 [2, 9] |
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...........Backtrack, path unsolvable... (on 3 1) |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Trying 5 on 3,8 [5, 7] |
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..........Trying 7 on 3,7 [1, 7] |
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...........Trying 2 on 2,1 [2, 4] |
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...........Trying 4 on 2,1 [2, 4] |
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...........Backtrack, path unsolvable... (on 2 1) |
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..........Trying 1 on 3,7 [1, 7] |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Backtrack, path unsolvable... (on 1 9) |
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.......Backtrack, path unsolvable... (on 7 9) |
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......Trying 2 on 8,9 [2, 6] |
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.......Trying 3 on 7,9 [3, 5] |
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........Trying 8 on 1,9 [5, 8] |
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.........Trying 3 on 3,8 [3, 7] |
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..........Trying 4 on 1,3 [1, 4] |
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...........Trying 9 on 1,1 [1, 9] |
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............Trying 1 on 3,1 [1, 2] |
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............Trying 2 on 3,1 [1, 2] |
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............Backtrack, path unsolvable... (on 3 1) |
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...........Trying 1 on 1,1 [1, 9] |
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...........Backtrack, path unsolvable... (on 1 1) |
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..........Trying 1 on 1,3 [1, 4] |
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...........Trying 9 on 1,1 [4, 9] |
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...........Trying 4 on 1,1 [4, 9] |
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...........Backtrack, path unsolvable... (on 1 1) |
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..........Backtrack, path unsolvable... (on 1 3) |
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.........Trying 7 on 3,8 [3, 7] |
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..........Trying 3 on 3,7 [1, 3] |
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..........Trying 1 on 3,7 [1, 3] |
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...........Trying 9 on 3,1 [2, 9] |
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...........Trying 2 on 3,1 [2, 9] |
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...........Backtrack, path unsolvable... (on 3 1) |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Trying 5 on 1,9 [5, 8] |
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........Backtrack, path unsolvable... (on 1 9) |
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.......Trying 5 on 7,9 [3, 5] |
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........Trying 5 on 1,8 [2, 5] |
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.........Trying 7 on 3,8 [2, 7] |
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..........Trying 4 on 1,3 [1, 4] |
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..........Trying 1 on 1,3 [1, 4] |
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..........Backtrack, path unsolvable... (on 1 3) |
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.........Trying 2 on 3,8 [2, 7] |
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..........Trying 9 on 3,1 [1, 9] |
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..........Trying 1 on 3,1 [1, 9] |
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..........Backtrack, path unsolvable... (on 3 1) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Trying 2 on 1,8 [2, 5] |
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.........Trying 7 on 3,8 [5, 7] |
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..........Trying 4 on 1,3 [1, 4] |
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...........Trying 9 on 1,1 [1, 9] |
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............Trying 1 on 3,1 [1, 2] |
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............Trying 2 on 3,1 [1, 2] |
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............Backtrack, path unsolvable... (on 3 1) |
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...........Trying 1 on 1,1 [1, 9] |
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...........Backtrack, path unsolvable... (on 1 1) |
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..........Trying 1 on 1,3 [1, 4] |
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...........Trying 9 on 1,1 [4, 9] |
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...........Trying 4 on 1,1 [4, 9] |
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...........Backtrack, path unsolvable... (on 1 1) |
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..........Backtrack, path unsolvable... (on 1 3) |
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.........Trying 5 on 3,8 [5, 7] |
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..........Trying 7 on 3,7 [1, 7] |
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...........Trying 2 on 2,1 [2, 4] |
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...........Trying 4 on 2,1 [2, 4] |
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...........Backtrack, path unsolvable... (on 2 1) |
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..........Trying 1 on 3,7 [1, 7] |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Backtrack, path unsolvable... (on 1 8) |
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.......Backtrack, path unsolvable... (on 7 9) |
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......Backtrack, path unsolvable... (on 8 9) |
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.....Trying 4 on 8,3 [3, 4] |
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......Trying 3 on 8,7 [2, 3] |
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.......Trying 6 on 8,9 [2, 6] |
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.......Trying 2 on 8,9 [2, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Trying 2 on 8,7 [2, 3] |
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.......Trying 3 on 8,9 [3, 6] |
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.......Trying 6 on 8,9 [3, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Backtrack, path unsolvable... (on 8 7) |
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.....Backtrack, path unsolvable... (on 8 3) |
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....Backtrack, path unsolvable... (on 8 1) |
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...Trying 3 on 9,8 [1, 3] |
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....Trying 4 on 8,1 [4, 5] |
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.....Trying 3 on 7,2 [3, 5] |
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.....Trying 5 on 7,2 [3, 5] |
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......Trying 6 on 7,9 [2, 6] |
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......Trying 2 on 7,9 [2, 6] |
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......Backtrack, path unsolvable... (on 7 9) |
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.....Backtrack, path unsolvable... (on 7 2) |
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....Trying 5 on 8,1 [4, 5] |
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.....Trying 6 on 8,9 [2, 6] |
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......Trying 8 on 1,9 [2, 8] |
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.......Trying 1 on 3,7 [1, 2] |
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.......Trying 2 on 3,7 [1, 2] |
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.......Backtrack, path unsolvable... (on 3 7) |
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......Trying 2 on 1,9 [2, 8] |
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.......Trying 7 on 3,8 [5, 7] |
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........Trying 5 on 3,7 [1, 5] |
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.........Trying 9 on 3,1 [1, 9] |
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.........Trying 1 on 3,1 [1, 9] |
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.........Backtrack, path unsolvable... (on 3 1) |
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........Trying 1 on 3,7 [1, 5] |
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.........Trying 9 on 3,1 [2, 9] |
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.........Trying 2 on 3,1 [2, 9] |
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.........Backtrack, path unsolvable... (on 3 1) |
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........Backtrack, path unsolvable... (on 3 7) |
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.......Trying 5 on 3,8 [5, 7] |
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........Trying 7 on 3,7 [1, 7] |
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.........Trying 9 on 3,1 [1, 9] |
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.........Trying 1 on 3,1 [1, 9] |
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.........Backtrack, path unsolvable... (on 3 1) |
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........Trying 1 on 3,7 [1, 7] |
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........Backtrack, path unsolvable... (on 3 7) |
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.......Backtrack, path unsolvable... (on 3 8) |
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......Backtrack, path unsolvable... (on 1 9) |
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.....Trying 2 on 8,9 [2, 6] |
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......Trying 5 on 1,8 [2, 5] |
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.......Trying 7 on 3,8 [2, 7] |
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........Trying 4 on 2,1 [1, 4] |
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........Trying 1 on 2,1 [1, 4] |
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........Backtrack, path unsolvable... (on 2 1) |
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.......Trying 2 on 3,8 [2, 7] |
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........Trying 9 on 3,1 [1, 9] |
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........Trying 1 on 3,1 [1, 9] |
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........Backtrack, path unsolvable... (on 3 1) |
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.......Backtrack, path unsolvable... (on 3 8) |
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......Trying 2 on 1,8 [2, 5] |
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.......Trying 7 on 3,8 [5, 7] |
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........Trying 1 on 3,7 [1, 5] |
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.........Trying 9 on 3,1 [2, 9] |
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.........Trying 2 on 3,1 [2, 9] |
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.........Backtrack, path unsolvable... (on 3 1) |
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........Trying 5 on 3,7 [1, 5] |
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.........Trying 9 on 3,1 [1, 9] |
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.........Trying 1 on 3,1 [1, 9] |
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.........Backtrack, path unsolvable... (on 3 1) |
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........Backtrack, path unsolvable... (on 3 7) |
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.......Trying 5 on 3,8 [5, 7] |
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........Trying 9 on 3,1 [1, 9] |
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........Trying 1 on 3,1 [1, 9] |
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........Backtrack, path unsolvable... (on 3 1) |
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.......Backtrack, path unsolvable... (on 3 8) |
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......Backtrack, path unsolvable... (on 1 8) |
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.....Backtrack, path unsolvable... (on 8 9) |
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....Backtrack, path unsolvable... (on 8 1) |
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...Backtrack, path unsolvable... (on 9 8) |
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..Trying 3 on 9,9 [3, 7] |
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...Trying 4 on 8,1 [4, 5] |
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....Trying 3 on 7,2 [3, 5] |
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....Trying 5 on 7,2 [3, 5] |
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.....Trying 6 on 7,9 [2, 6] |
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.....Trying 2 on 7,9 [2, 6] |
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.....Backtrack, path unsolvable... (on 7 9) |
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....Backtrack, path unsolvable... (on 7 2) |
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...Trying 5 on 8,1 [4, 5] |
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....Trying 6 on 8,9 [2, 6] |
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.....Trying 8 on 1,9 [2, 8] |
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......Trying 7 on 2,9 [2, 7] |
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.......Trying 1 on 3,7 [1, 2] |
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.......Trying 2 on 3,7 [1, 2] |
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.......Backtrack, path unsolvable... (on 3 7) |
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......Trying 2 on 2,9 [2, 7] |
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.......Trying 4 on 2,1 [1, 4] |
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.......Trying 1 on 2,1 [1, 4] |
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.......Backtrack, path unsolvable... (on 2 1) |
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......Backtrack, path unsolvable... (on 2 9) |
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.....Trying 2 on 1,9 [2, 8] |
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......Trying 3 on 3,8 [3, 5] |
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.......Trying 5 on 2,7 [1, 5] |
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........Trying 9 on 3,1 [2, 9] |
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........Trying 2 on 3,1 [2, 9] |
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........Backtrack, path unsolvable... (on 3 1) |
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.......Trying 1 on 2,7 [1, 5] |
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.......Backtrack, path unsolvable... (on 2 7) |
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......Trying 5 on 3,8 [3, 5] |
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.......Trying 3 on 3,7 [1, 3] |
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.......Trying 1 on 3,7 [1, 3] |
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.......Backtrack, path unsolvable... (on 3 7) |
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......Backtrack, path unsolvable... (on 3 8) |
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.....Backtrack, path unsolvable... (on 1 9) |
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....Trying 2 on 8,9 [2, 6] |
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.....Trying 5 on 1,8 [2, 5] |
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......Trying 3 on 3,8 [2, 3] |
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.......Trying 4 on 2,1 [1, 4] |
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.......Trying 1 on 2,1 [1, 4] |
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.......Backtrack, path unsolvable... (on 2 1) |
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......Trying 2 on 3,8 [2, 3] |
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.......Trying 9 on 3,1 [1, 9] |
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.......Trying 1 on 3,1 [1, 9] |
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.......Backtrack, path unsolvable... (on 3 1) |
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......Backtrack, path unsolvable... (on 3 8) |
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.....Trying 2 on 1,8 [2, 5] |
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......Trying 3 on 3,8 [3, 5] |
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.......Trying 4 on 1,3 [1, 4] |
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.......Trying 1 on 1,3 [1, 4] |
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.......Backtrack, path unsolvable... (on 1 3) |
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......Trying 5 on 3,8 [3, 5] |
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.......Trying 9 on 3,1 [1, 9] |
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.......Trying 1 on 3,1 [1, 9] |
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.......Backtrack, path unsolvable... (on 3 1) |
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......Backtrack, path unsolvable... (on 3 8) |
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.....Backtrack, path unsolvable... (on 1 8) |
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....Backtrack, path unsolvable... (on 8 9) |
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...Backtrack, path unsolvable... (on 8 1) |
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..Backtrack, path unsolvable... (on 9 9) |
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.Trying 3 on 9,2 [3, 6] |
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..Trying 7 on 9,9 [6, 7] |
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...Trying 1 on 9,8 [1, 6] |
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....Trying 4 on 8,1 [4, 5] |
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.....Trying 6 on 7,2 [5, 6] |
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......Trying 3 on 8,7 [2, 3] |
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.......Trying 6 on 8,9 [2, 6] |
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.......Trying 2 on 8,9 [2, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Trying 2 on 8,7 [2, 3] |
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.......Trying 6 on 8,9 [3, 6] |
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.......Trying 3 on 8,9 [3, 6] |
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.......Backtrack, path unsolvable... (on 8 9) |
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......Backtrack, path unsolvable... (on 8 7) |
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.....Trying 5 on 7,2 [5, 6] |
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......Trying 4 on 1,2 [2, 4] |
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.......Trying 1 on 1,3 [1, 5] |
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........Trying 2 on 2,1 [2, 5] |
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........Trying 5 on 2,1 [2, 5] |
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........Backtrack, path unsolvable... (on 2 1) |
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.......Trying 5 on 1,3 [1, 5] |
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........Trying 1 on 2,1 [1, 2] |
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.........Trying 9 on 1,1 [2, 9] |
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..........Trying 8 on 1,9 [2, 8] |
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..........Trying 2 on 1,9 [2, 8] |
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..........Backtrack, path unsolvable... (on 1 9) |
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.........Trying 2 on 1,1 [2, 9] |
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.........Backtrack, path unsolvable... (on 1 1) |
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........Trying 2 on 2,1 [1, 2] |
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.........Trying 9 on 1,1 [1, 9] |
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..........Trying 8 on 1,9 [2, 8] |
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...........Trying 2 on 8,9 [2, 3] |
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...........Trying 3 on 8,9 [2, 3] |
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...........Backtrack, path unsolvable... (on 8 9) |
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..........Trying 2 on 1,9 [2, 8] |
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..........Backtrack, path unsolvable... (on 1 9) |
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.........Trying 1 on 1,1 [1, 9] |
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..........Trying 8 on 1,9 [2, 8] |
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...........Trying 2 on 8,9 [2, 3] |
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...........Trying 3 on 8,9 [2, 3] |
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...........Backtrack, path unsolvable... (on 8 9) |
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..........Trying 2 on 1,9 [2, 8] |
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..........Backtrack, path unsolvable... (on 1 9) |
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.........Backtrack, path unsolvable... (on 1 1) |
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........Backtrack, path unsolvable... (on 2 1) |
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.......Backtrack, path unsolvable... (on 1 3) |
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......Trying 2 on 1,2 [2, 4] |
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.......Trying 1 on 2,1 [1, 5] |
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........Trying 9 on 1,1 [5, 9] |
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.........Trying 8 on 1,9 [5, 8] |
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.........Trying 5 on 1,9 [5, 8] |
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.........Backtrack, path unsolvable... (on 1 9) |
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........Trying 5 on 1,1 [5, 9] |
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........Backtrack, path unsolvable... (on 1 1) |
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.......Trying 5 on 2,1 [1, 5] |
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........Trying 9 on 1,1 [1, 9] |
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.........Trying 8 on 1,9 [5, 8] |
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..........Trying 6 on 7,9 [3, 6] |
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..........Trying 3 on 7,9 [3, 6] |
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..........Backtrack, path unsolvable... (on 7 9) |
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.........Trying 5 on 1,9 [5, 8] |
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.........Backtrack, path unsolvable... (on 1 9) |
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........Trying 1 on 1,1 [1, 9] |
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.........Trying 8 on 1,9 [5, 8] |
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..........Trying 5 on 8,9 [3, 5] |
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..........Trying 3 on 8,9 [3, 5] |
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..........Backtrack, path unsolvable... (on 8 9) |
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.........Trying 5 on 1,9 [5, 8] |
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.........Backtrack, path unsolvable... (on 1 9) |
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........Backtrack, path unsolvable... (on 1 1) |
|||
.......Backtrack, path unsolvable... (on 2 1) |
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......Backtrack, path unsolvable... (on 1 2) |
|||
.....Backtrack, path unsolvable... (on 7 2) |
|||
....Trying 5 on 8,1 [4, 5] |
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.....Trying 6 on 8,3 [4, 6] |
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......Trying 3 on 8,9 [2, 3] |
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.......Trying 6 on 7,9 [5, 6] |
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........Trying 5 on 1,9 [2, 5] |
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.........Trying 3 on 3,8 [3, 7] |
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..........Trying 4 on 2,1 [1, 4] |
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..........Trying 1 on 2,1 [1, 4] |
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..........Backtrack, path unsolvable... (on 2 1) |
|||
.........Trying 7 on 3,8 [3, 7] |
|||
..........Trying 3 on 3,7 [1, 3] |
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..........Trying 1 on 3,7 [1, 3] |
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..........Backtrack, path unsolvable... (on 3 7) |
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.........Backtrack, path unsolvable... (on 3 8) |
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........Trying 2 on 1,9 [2, 5] |
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.........Trying 3 on 3,8 [3, 7] |
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..........Trying 7 on 2,7 [1, 7] |
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..........Trying 1 on 2,7 [1, 7] |
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...........Trying 4 on 2,1 [2, 4] |
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...........Trying 2 on 2,1 [2, 4] |
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...........Solved... (2 on 2,1) |
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..........Solved... (1 on 2,7) |
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.........Solved... (3 on 3,8) |
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........Solved... (2 on 1,9) |
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.......Solved... (6 on 7,9) |
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......Solved... (3 on 8,9) |
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.....Solved... (6 on 8,3) |
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....Solved... (5 on 8,1) |
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...Solved... (1 on 9,8) |
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..Solved... (7 on 9,9) |
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.Solved... (3 on 9,2) |
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Solved... (8 on 9,1) |
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--------------------------------------------- |
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9 5 4 1 3 7 6 8 2 |
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2 7 3 6 8 4 1 9 5 |
2 7 3 6 8 4 1 9 5 |
||
1 6 8 2 9 5 7 3 4 |
1 6 8 2 9 5 7 3 4 |