Starting board: 0 0 0 0 0 0 0 0 0 0 2 1 4 0 7 6 8 0 0 8 7 3 0 6 1 5 0 0 4 6 0 0 0 9 1 0 0 0 0 0 0 0 0 0 0 0 3 9 0 0 0 2 4 0 0 9 5 7 0 8 4 2 0 0 7 4 5 0 2 3 6 0 0 0 0 0 0 0 0 0 0 Live cells: 49 Max freedoms: 9 Min freedoms: 1 Average: 3.31 Median: 3 Quartile: 2 Freedom counts: 1: 3 cells 2: 15 cells 3: 12 cells 4: 6 cells 5: 12 cells 6: 0 cells 7: 0 cells 8: 0 cells 9: 1 cells Range, 1-3 freedoms: 30; 5-7 freedoms: 13 Ratio, 5-7 to 1-3: 0.43 Natural solver starting(mode=constraints_only); board: - - - - - - - - - - 2 1 4 - 7 6 8 - - 8 7 3 - 6 1 5 - - 4 6 - - - 9 1 - - - - - - - - - - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 - - 7 4 5 - 2 3 6 - - - - - - - - - - l3 actions: 0 Row pushes: 12 Col pushes: 0 Square pushes: 0 Total pushes: 12 Natural solver done; filled in 7 cells on this pass; board: - - 3 - - - 7 9 - - 2 1 4 - 7 6 8 3 - 8 7 3 - 6 1 5 - - 4 6 - - - 9 1 - - - - - - - - 3 - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 1 - 7 4 5 - 2 3 6 - - - - - - - - 7 - Board assessment after first pass: Live cells: 42 Max freedoms: 8 Min freedoms: 2 Average: 3.05 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 22 cells 3: 6 cells 4: 7 cells 5: 6 cells 6: 0 cells 7: 0 cells 8: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 7 Ratio, 5-7 to 1-3: 0.25 Natural solver starting(mode=partial_positive); board: - - 3 - - - 7 9 - - 2 1 4 - 7 6 8 3 - 8 7 3 - 6 1 5 - - 4 6 - - - 9 1 - - - - - - - - 3 - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 1 - 7 4 5 - 2 3 6 - - - - - - - - 7 - l3 actions: 0 Row pushes: 0 Col pushes: 0 Square pushes: 0 Total pushes: 0 Natural solver done; filled in 0 cells on this pass; board: - - 3 - - - 7 9 - - 2 1 4 - 7 6 8 3 - 8 7 3 - 6 1 5 - - 4 6 - - - 9 1 - - - - - - - - 3 - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 1 - 7 4 5 - 2 3 6 - - - - - - - - 7 - Board assessment after second pass: Live cells: 42 Max freedoms: 8 Min freedoms: 2 Average: 3.05 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 22 cells 3: 6 cells 4: 7 cells 5: 6 cells 6: 0 cells 7: 0 cells 8: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 7 Ratio, 5-7 to 1-3: 0.25 Natural solver starting(mode=positive_with_multiset); board: - - 3 - - - 7 9 - - 2 1 4 - 7 6 8 3 - 8 7 3 - 6 1 5 - - 4 6 - - - 9 1 - - - - - - - - 3 - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 1 - 7 4 5 - 2 3 6 - - - - - - - - 7 - l3 actions: 1 1 useful external multiset operations at size 2 L3 external record: 2/5 1 useful internal multiset operations at size 2 L3 internal record: 2/5 Row pushes: 3 Col pushes: 3 Square pushes: 1 Total pushes: 7 Natural solver done; filled in 1 cells on this pass; board: - - 3 - - - 7 9 - - 2 1 4 - 7 6 8 3 - 8 7 3 - 6 1 5 - - 4 6 - - 3 9 1 - - - - - - - - 3 - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 1 - 7 4 5 - 2 3 6 - - - - - - - - 7 - Board assessment after third pass: Live cells: 41 Max freedoms: 8 Min freedoms: 2 Average: 3.02 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 21 cells 3: 7 cells 4: 7 cells 5: 5 cells 6: 0 cells 7: 0 cells 8: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 6 Ratio, 5-7 to 1-3: 0.21 Natural solver starting(mode=esoteric1); board: - - 3 - - - 7 9 - - 2 1 4 - 7 6 8 3 - 8 7 3 - 6 1 5 - - 4 6 - - 3 9 1 - - - - - - - - 3 - - 3 9 - - - 2 4 - - 9 5 7 - 8 4 2 1 - 7 4 5 - 2 3 6 - - - - - - - - 7 - Solved. Solution: 6 5 3 8 2 1 7 9 4 9 2 1 4 5 7 6 8 3 4 8 7 3 9 6 1 5 2 5 4 6 2 7 3 9 1 8 2 1 8 6 4 9 5 3 7 7 3 9 1 8 5 2 4 6 3 9 5 7 6 8 4 2 1 8 7 4 5 1 2 3 6 9 1 6 2 9 3 4 8 7 5 pop_state: Overpopped state stack! Row pushes: 19 Col pushes: 21 Square pushes: 12 Total pushes: 52 Object squash operations: 3 1 total squash operations Natural solver done; we won. Grand totals: Row pushes: 34 Col pushes: 24 Square pushes: 13 Grand total pushes: 71 Solved cells at each level: 1:7, 2:0, 3:1, 4:41 Solver level: 4 Raw rating: 2.89 Level adjustment: 2.80 Stars: 4 Done.