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out16.txt
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>>> reload(sudoku)
Starting puzzle 1
-------------------------------
Solved Puzzle:
3 - Constraint Cycles
1 - Branches
hidden_set_exclusions_col : 4
hidden_set_exclusions_row : 5
hidden_set_exclusions_square : 2
single_possibility : 49
unique_possibility_col : 13
unique_possibility_row : 11
unique_possibility_square : 6
xwing_row : 4
-------------------------------
| 4 7 6 | 1 5 3 | 9 2 8 |
| 3 2 9 | 6 8 7 | 1 4 5 |
| 5 1 8 | 4 2 9 | 7 6 3 |
-------------------------------
| 2 8 4 | 7 1 5 | 3 9 6 |
| 1 6 7 | 9 3 2 | 5 8 4 |
| 9 5 3 | 8 4 6 | 2 1 7 |
-------------------------------
| 8 3 5 | 2 6 1 | 4 7 9 |
| 6 9 1 | 5 7 4 | 8 3 2 |
| 7 4 2 | 3 9 8 | 6 5 1 |
-------------------------------
Done with puzzle 1 in 1.06748986244 sec
Starting puzzle 2
-------------------------------
Solved Puzzle:
6 - Constraint Cycles
1 - Branches
hidden_set_exclusions_col : 4
hidden_set_exclusions_row : 4
hidden_set_exclusions_square : 5
naked_set_exclusions_square : 1
single_possibility : 50
unique_possibility_col : 13
unique_possibility_row : 12
unique_possibility_square : 9
xwing_col : 2
xwing_row : 2
-------------------------------
| 8 2 6 | 3 5 9 | 7 1 4 |
| 3 1 5 | 7 2 4 | 9 6 8 |
| 4 9 7 | 1 8 6 | 5 2 3 |
-------------------------------
| 2 7 9 | 8 6 3 | 1 4 5 |
| 6 5 8 | 4 1 7 | 2 3 9 |
| 1 4 3 | 2 9 5 | 8 7 6 |
-------------------------------
| 7 3 2 | 5 4 8 | 6 9 1 |
| 5 6 4 | 9 7 1 | 3 8 2 |
| 9 8 1 | 6 3 2 | 4 5 7 |
-------------------------------
Done with puzzle 2 in 1.32004284859 sec
Starting puzzle 3
-------------------------------
Solved Puzzle:
4 - Constraint Cycles
1 - Branches
hidden_set_exclusions_col : 1
hidden_set_exclusions_row : 8
hidden_set_exclusions_square : 3
naked_set_exclusions_row : 1
single_possibility : 51
unique_possibility_col : 13
unique_possibility_row : 6
unique_possibility_square : 9
xwing_col : 1
xwing_row : 8
-------------------------------
| 6 8 4 | 2 9 5 | 3 1 7 |
| 2 7 9 | 3 8 1 | 4 6 5 |
| 3 5 1 | 4 7 6 | 9 8 2 |
-------------------------------
| 4 1 7 | 6 5 9 | 2 3 8 |
| 9 3 2 | 1 4 8 | 5 7 6 |
| 8 6 5 | 7 3 2 | 1 9 4 |
-------------------------------
| 5 2 8 | 9 6 3 | 7 4 1 |
| 1 4 3 | 8 2 7 | 6 5 9 |
| 7 9 6 | 5 1 4 | 8 2 3 |
-------------------------------
Done with puzzle 3 in 0.908405065536 sec
Starting puzzle 4
-------------------------------
Solved Puzzle:
5 - Constraint Cycles
1 - Branches
hidden_set_exclusions_col : 3
hidden_set_exclusions_row : 6
hidden_set_exclusions_square : 2
single_possibility : 51
unique_possibility_col : 16
unique_possibility_row : 12
unique_possibility_square : 10
xwing_col : 4
xwing_row : 1
-------------------------------
| 3 5 7 | 9 2 4 | 6 1 8 |
| 6 4 1 | 8 5 3 | 7 2 9 |
| 8 9 2 | 7 6 1 | 3 5 4 |
-------------------------------
| 7 3 9 | 6 4 5 | 1 8 2 |
| 1 6 5 | 2 3 8 | 9 4 7 |
| 2 8 4 | 1 7 9 | 5 3 6 |
-------------------------------
| 5 7 6 | 3 8 2 | 4 9 1 |
| 4 1 8 | 5 9 7 | 2 6 3 |
| 9 2 3 | 4 1 6 | 8 7 5 |
-------------------------------
Done with puzzle 4 in 1.4931499958 sec
Starting puzzle 5
-------------------------------
Solved Puzzle:
8 - Constraint Cycles
1 - Branches
hidden_set_exclusions_row : 5
hidden_set_exclusions_square : 9
naked_set_exclusions_row : 1
single_possibility : 59
unique_possibility_col : 16
unique_possibility_row : 11
unique_possibility_square : 8
xwing_col : 1
xwing_row : 3
-------------------------------
| 8 5 9 | 6 1 2 | 4 3 7 |
| 7 2 3 | 8 5 4 | 1 6 9 |
| 1 6 4 | 3 7 9 | 5 2 8 |
-------------------------------
| 9 8 6 | 1 4 7 | 3 5 2 |
| 3 7 5 | 2 6 8 | 9 1 4 |
| 2 4 1 | 5 9 3 | 7 8 6 |
-------------------------------
| 4 3 2 | 9 8 1 | 6 7 5 |
| 6 1 7 | 4 2 5 | 8 9 3 |
| 5 9 8 | 7 3 6 | 2 4 1 |
-------------------------------
Done with puzzle 5 in 3.00274014473 sec
Starting puzzle 6
-------------------------------
Solved Puzzle:
63 - Constraint Cycles
25 - Branches
hidden_set_exclusions_col : 17
hidden_set_exclusions_row : 30
hidden_set_exclusions_square : 29
naked_set_exclusions_col : 5
naked_set_exclusions_row : 2
naked_set_exclusions_square : 2
single_possibility : 221
unique_possibility_col : 54
unique_possibility_row : 72
unique_possibility_square : 47
xwing_col : 5
xwing_row : 19
-------------------------------
| 1 4 5 | 3 2 7 | 6 9 8 |
| 8 3 9 | 6 5 4 | 1 2 7 |
| 6 7 2 | 9 1 8 | 5 4 3 |
-------------------------------
| 4 9 6 | 1 8 5 | 3 7 2 |
| 2 1 8 | 4 7 3 | 9 5 6 |
| 7 5 3 | 2 9 6 | 4 8 1 |
-------------------------------
| 3 6 7 | 5 4 2 | 8 1 9 |
| 9 8 4 | 7 6 1 | 2 3 5 |
| 5 2 1 | 8 3 9 | 7 6 4 |
-------------------------------
Done with puzzle 6 in 25.5564448833 sec
Starting puzzle 7
-------------------------------
Solved Puzzle:
58 - Constraint Cycles
27 - Branches
hidden_set_exclusions_col : 7
hidden_set_exclusions_row : 9
hidden_set_exclusions_square : 7
single_possibility : 38
unique_possibility_col : 7
unique_possibility_row : 3
-------------------------------
| 3 8 4 | 2 6 9 | 5 1 7 |
| 6 5 9 | 4 1 7 | 2 3 8 |
| 2 7 1 | 5 3 8 | 6 4 9 |
-------------------------------
| 1 4 5 | 9 7 2 | 8 6 3 |
| 8 9 3 | 6 5 4 | 7 2 1 |
| 7 2 6 | 1 8 3 | 9 5 4 |
-------------------------------
| 9 1 8 | 3 2 5 | 4 7 6 |
| 4 3 2 | 7 9 6 | 1 8 5 |
| 5 6 7 | 8 4 1 | 3 9 2 |
-------------------------------
Done with puzzle 7 in 128.292643785 sec
Starting puzzle 8
-------------------------------
Solved Puzzle:
8 - Constraint Cycles
1 - Branches
hidden_set_exclusions_row : 5
hidden_set_exclusions_square : 9
naked_set_exclusions_row : 1
single_possibility : 59
unique_possibility_col : 16
unique_possibility_row : 11
unique_possibility_square : 8
xwing_col : 1
xwing_row : 3
-------------------------------
| 8 5 9 | 6 1 2 | 4 3 7 |
| 7 2 3 | 8 5 4 | 1 6 9 |
| 1 6 4 | 3 7 9 | 5 2 8 |
-------------------------------
| 9 8 6 | 1 4 7 | 3 5 2 |
| 3 7 5 | 2 6 8 | 9 1 4 |
| 2 4 1 | 5 9 3 | 7 8 6 |
-------------------------------
| 4 3 2 | 9 8 1 | 6 7 5 |
| 6 1 7 | 4 2 5 | 8 9 3 |
| 5 9 8 | 7 3 6 | 2 4 1 |
-------------------------------
Done with puzzle 8 in 3.04795479774 sec
Starting puzzle 9
-------------------------------
Solved Puzzle:
19 - Constraint Cycles
6 - Branches
hidden_set_exclusions_col : 4
hidden_set_exclusions_row : 10
hidden_set_exclusions_square : 11
naked_set_exclusions_square : 1
single_possibility : 63
unique_possibility_col : 19
unique_possibility_row : 14
unique_possibility_square : 11
xwing_col : 6
-------------------------------
| 1 2 8 | 5 4 7 | 6 3 9 |
| 3 4 5 | 8 6 9 | 2 1 7 |
| 6 7 9 | 2 1 3 | 5 4 8 |
-------------------------------
| 9 1 2 | 4 8 6 | 3 7 5 |
| 7 8 4 | 3 5 2 | 1 9 6 |
| 5 3 6 | 7 9 1 | 4 8 2 |
-------------------------------
| 8 9 1 | 6 2 4 | 7 5 3 |
| 4 6 7 | 9 3 5 | 8 2 1 |
| 2 5 3 | 1 7 8 | 9 6 4 |
-------------------------------
Done with puzzle 9 in 6.69045305252 sec
Starting puzzle 10
-------------------------------
Solved Puzzle:
34 - Constraint Cycles
11 - Branches
hidden_set_exclusions_col : 21
hidden_set_exclusions_row : 22
hidden_set_exclusions_square : 20
naked_set_exclusions_col : 1
single_possibility : 126
unique_possibility_col : 24
unique_possibility_row : 34
unique_possibility_square : 23
xwing_col : 21
xwing_row : 5
-------------------------------
| 6 2 4 | 5 7 8 | 1 3 9 |
| 1 3 5 | 4 9 6 | 8 2 7 |
| 7 8 9 | 1 2 3 | 4 5 6 |
-------------------------------
| 2 1 6 | 3 8 5 | 7 9 4 |
| 8 5 7 | 9 6 4 | 2 1 3 |
| 4 9 3 | 2 1 7 | 6 8 5 |
-------------------------------
| 9 4 2 | 6 5 1 | 3 7 8 |
| 5 6 8 | 7 3 2 | 9 4 1 |
| 3 7 1 | 8 4 9 | 5 6 2 |
-------------------------------
Done with puzzle 10 in 15.0582149029 sec
Starting puzzle 11
-------------------------------
Solved Puzzle:
6 - Constraint Cycles
1 - Branches
hidden_set_exclusions_col : 5
hidden_set_exclusions_row : 8
hidden_set_exclusions_square : 9
naked_set_exclusions_row : 1
single_possibility : 59
unique_possibility_col : 10
unique_possibility_row : 9
unique_possibility_square : 9
xwing_col : 4
xwing_row : 1
-------------------------------
| 7 9 6 | 1 5 2 | 3 8 4 |
| 5 3 1 | 4 6 8 | 9 2 7 |
| 4 2 8 | 3 7 9 | 6 5 1 |
-------------------------------
| 1 5 2 | 6 3 4 | 7 9 8 |
| 3 8 4 | 7 9 1 | 2 6 5 |
| 9 6 7 | 2 8 5 | 1 4 3 |
-------------------------------
| 2 1 9 | 8 4 3 | 5 7 6 |
| 6 4 5 | 9 1 7 | 8 3 2 |
| 8 7 3 | 5 2 6 | 4 1 9 |
-------------------------------
Done with puzzle 11 in 5.19752907753 sec
Starting puzzle 12
-------------------------------
Solved Puzzle:
49 - Constraint Cycles
19 - Branches
hidden_set_exclusions_col : 28
hidden_set_exclusions_row : 21
hidden_set_exclusions_square : 12
naked_set_exclusions_col : 1
naked_set_exclusions_row : 6
single_possibility : 139
unique_possibility_col : 36
unique_possibility_row : 38
unique_possibility_square : 29
xwing_col : 50
xwing_row : 37
-------------------------------
| 1 6 2 | 8 5 7 | 4 9 3 |
| 5 3 4 | 1 2 9 | 6 7 8 |
| 7 8 9 | 6 4 3 | 5 2 1 |
-------------------------------
| 4 7 5 | 3 1 2 | 9 8 6 |
| 9 1 3 | 5 8 6 | 7 4 2 |
| 6 2 8 | 7 9 4 | 1 3 5 |
-------------------------------
| 3 5 6 | 4 7 8 | 2 1 9 |
| 2 4 1 | 9 3 5 | 8 6 7 |
| 8 9 7 | 2 6 1 | 3 5 4 |
-------------------------------
Done with puzzle 12 in 34.337957859 sec
Starting puzzle 13
-------------------------------
Solved Puzzle:
11 - Constraint Cycles
3 - Branches
hidden_set_exclusions_col : 11
hidden_set_exclusions_row : 3
hidden_set_exclusions_square : 4
naked_set_exclusions_col : 1
single_possibility : 51
unique_possibility_col : 8
unique_possibility_row : 13
unique_possibility_square : 12
xwing_col : 1
xwing_row : 6
-------------------------------
| 1 5 2 | 9 3 4 | 6 8 7 |
| 7 6 3 | 8 2 1 | 5 4 9 |
| 9 8 4 | 5 6 7 | 3 2 1 |
-------------------------------
| 6 1 8 | 4 9 3 | 2 7 5 |
| 3 7 5 | 1 8 2 | 4 9 6 |
| 2 4 9 | 7 5 6 | 8 1 3 |
-------------------------------
| 5 2 1 | 3 7 8 | 9 6 4 |
| 4 3 6 | 2 1 9 | 7 5 8 |
| 8 9 7 | 6 4 5 | 1 3 2 |
-------------------------------
Done with puzzle 13 in 2.89422893524 sec
Starting puzzle 14
-------------------------------
Solved Puzzle:
9 - Constraint Cycles
2 - Branches
hidden_set_exclusions_col : 6
hidden_set_exclusions_row : 4
hidden_set_exclusions_square : 3
single_possibility : 52
unique_possibility_col : 11
unique_possibility_row : 12
unique_possibility_square : 4
xwing_col : 4
xwing_row : 1
-------------------------------
| 3 8 7 | 9 2 6 | 4 1 5 |
| 5 4 6 | 8 1 3 | 9 7 2 |
| 1 9 2 | 4 7 5 | 8 3 6 |
-------------------------------
| 2 3 5 | 7 4 9 | 1 6 8 |
| 9 6 1 | 2 5 8 | 7 4 3 |
| 4 7 8 | 6 3 1 | 5 2 9 |
-------------------------------
| 7 5 4 | 3 8 2 | 6 9 1 |
| 6 1 3 | 5 9 7 | 2 8 4 |
| 8 2 9 | 1 6 4 | 3 5 7 |
-------------------------------
Done with puzzle 14 in 1.92094802856 sec
Starting puzzle 15
-------------------------------
Solved Puzzle:
11 - Constraint Cycles
3 - Branches
hidden_set_exclusions_col : 3
hidden_set_exclusions_row : 7
hidden_set_exclusions_square : 4
naked_set_exclusions_row : 1
single_possibility : 55
unique_possibility_col : 14
unique_possibility_row : 7
unique_possibility_square : 6
xwing_col : 13
xwing_row : 6
-------------------------------
| 8 6 9 | 5 7 4 | 1 3 2 |
| 1 2 4 | 3 9 6 | 7 5 8 |
| 3 7 5 | 1 2 8 | 6 9 4 |
-------------------------------
| 9 3 2 | 8 5 7 | 4 1 6 |
| 5 4 1 | 6 3 2 | 8 7 9 |
| 7 8 6 | 9 4 1 | 3 2 5 |
-------------------------------
| 2 1 7 | 4 6 9 | 5 8 3 |
| 4 9 3 | 7 8 5 | 2 6 1 |
| 6 5 8 | 2 1 3 | 9 4 7 |
-------------------------------
Done with puzzle 15 in 11.1793618202 sec
Starting puzzle 16
-------------------------------
Solved Puzzle:
15 - Constraint Cycles
6 - Branches
hidden_set_exclusions_col : 5
hidden_set_exclusions_row : 8
hidden_set_exclusions_square : 5
naked_set_exclusions_row : 1
single_possibility : 67
unique_possibility_col : 18
unique_possibility_row : 25
unique_possibility_square : 15
xwing_col : 13
xwing_row : 3
-------------------------------
| 7 9 8 | 6 3 5 | 4 2 1 |
| 1 2 6 | 9 7 4 | 5 8 3 |
| 4 5 3 | 2 1 8 | 6 7 9 |
-------------------------------
| 9 7 2 | 5 8 6 | 3 1 4 |
| 5 6 4 | 1 2 3 | 8 9 7 |
| 3 8 1 | 4 9 7 | 2 5 6 |
-------------------------------
| 6 1 7 | 3 5 2 | 9 4 8 |
| 8 3 5 | 7 4 9 | 1 6 2 |
| 2 4 9 | 8 6 1 | 7 3 5 |
-------------------------------
Done with puzzle 16 in 5.07214999199 sec
Starting puzzle 17
-------------------------------
Solved Puzzle:
37 - Constraint Cycles
14 - Branches
hidden_set_exclusions_col : 9
hidden_set_exclusions_row : 18
hidden_set_exclusions_square : 19
naked_set_exclusions_col : 1
naked_set_exclusions_row : 1
naked_set_exclusions_square : 2
single_possibility : 119
unique_possibility_col : 37
unique_possibility_row : 36
unique_possibility_square : 19
xwing_col : 1
xwing_row : 49
-------------------------------
| 5 9 4 | 8 7 6 | 1 2 3 |
| 8 2 3 | 9 1 4 | 7 5 6 |
| 6 1 7 | 2 3 5 | 8 9 4 |
-------------------------------
| 9 6 5 | 4 2 1 | 3 7 8 |
| 7 8 1 | 6 5 3 | 9 4 2 |
| 3 4 2 | 7 9 8 | 5 6 1 |
-------------------------------
| 1 5 9 | 3 4 2 | 6 8 7 |
| 4 3 6 | 5 8 7 | 2 1 9 |
| 2 7 8 | 1 6 9 | 4 3 5 |
-------------------------------
Done with puzzle 17 in 33.400231123 sec
Done with 17 puzzles in 280.439946175 sec:
TOTALS:
346 - Constraint Cycles
123 - Branches
hidden_set_exclusions_col : 128
hidden_set_exclusions_row : 173
hidden_set_exclusions_square : 153
naked_set_exclusions_col : 9
naked_set_exclusions_row : 15
naked_set_exclusions_square : 6
single_possibility : 1309
unique_possibility_col : 325
unique_possibility_row : 326
unique_possibility_square : 225
xwing_col : 127
xwing_row : 148
Sun Nov 14 11:14:57 2010 sudoku.v4
60417118 function calls (60120452 primitive calls) in 280.976 CPU seconds
Ordered by: internal time
List reduced from 104 to 10 due to restriction <10>
ncalls tottime percall cumtime percall filename:lineno(function)
9986 59.232 0.006 239.730 0.024 sudoku.py:421(fn)
11167008 48.211 0.000 68.063 0.000 sudoku.py:15(<lambda>)
11844728 38.739 0.000 42.121 0.000 sudoku.py:17(combo_sets)
3127856 27.770 0.000 78.436 0.000 sudoku.py:519(index_possibilities)
13796526/13561054 25.117 0.000 25.992 0.000 {len}
3127856 20.490 0.000 34.847 0.000 {method 'has_key' of 'dict' objects}
7712451 17.314 0.000 17.314 0.000 sudoku.py:32(__hash__)
6302756 14.724 0.000 14.724 0.000 sudoku.py:26(__eq__)
971869 13.806 0.000 93.986 0.000 sudoku.py:514(get_possibilities)
10558 1.545 0.000 20.263 0.002 sudoku.py:386(<genexpr>)
<module 'sudoku' from 'sudoku.py'>