Starting board: - - - - 1 - - - - - 5 - 3 - 6 1 - - - 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - - 9 - 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - - - 3 - - - Live cells: 56 Max freedoms: 6 Min freedoms: 2 Average: 3.82 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 6 cells 3: 16 cells 4: 21 cells 5: 8 cells 6: 5 cells Range, 1-3 freedoms: 22; 5-7 freedoms: 13 Ratio, 5-7 to 1-3: 0.59 Natural solver starting(mode=constraints_only); board: - - - - 1 - - - - - 5 - 3 - 6 1 - - - 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - - 9 - 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - - - 3 - - - 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: - - - - 1 - - - - - 5 - 3 - 6 1 - - - 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - - 9 - 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - - - 3 - - - Board assessment after first pass: Live cells: 56 Max freedoms: 6 Min freedoms: 2 Average: 3.82 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 6 cells 3: 16 cells 4: 21 cells 5: 8 cells 6: 5 cells Range, 1-3 freedoms: 22; 5-7 freedoms: 13 Ratio, 5-7 to 1-3: 0.59 Natural solver starting(mode=partial_positive); board: - - - - 1 - - - - - 5 - 3 - 6 1 - - - 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - - 9 - 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - - - 3 - - - l3 actions: 0 Row pushes: 11 Col pushes: 7 Square pushes: 6 Total pushes: 24 Natural solver done; filled in 5 cells on this pass; board: - - - - 1 - - - 5 - 5 - 3 - 6 1 - - 1 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - 1 9 5 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - 2 - 3 - - - Board assessment after second pass: Live cells: 51 Max freedoms: 6 Min freedoms: 2 Average: 3.59 Median: 3 Quartile: 3 Freedom counts: 1: 0 cells 2: 7 cells 3: 19 cells 4: 15 cells 5: 8 cells 6: 2 cells Range, 1-3 freedoms: 26; 5-7 freedoms: 10 Ratio, 5-7 to 1-3: 0.38 Natural solver starting(mode=positive_with_multiset); board: - - - - 1 - - - 5 - 5 - 3 - 6 1 - - 1 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - 1 9 5 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - 2 - 3 - - - l3 actions: 3 2 useful external multiset operations at size 2 L3 external record: 2/5, 2/7 1 useful internal multiset operations at size 2 L3 internal record: 2/4 Row pushes: 6 Col pushes: 2 Square pushes: 1 Total pushes: 9 Natural solver done; filled in 0 cells on this pass; board: - - - - 1 - - - 5 - 5 - 3 - 6 1 - - 1 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - 1 9 5 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - 2 - 3 - - - Board assessment after third pass: Live cells: 51 Max freedoms: 6 Min freedoms: 2 Average: 3.59 Median: 3 Quartile: 3 Freedom counts: 1: 0 cells 2: 7 cells 3: 19 cells 4: 15 cells 5: 8 cells 6: 2 cells Range, 1-3 freedoms: 26; 5-7 freedoms: 10 Ratio, 5-7 to 1-3: 0.38 Natural solver starting(mode=esoteric1); board: - - - - 1 - - - 5 - 5 - 3 - 6 1 - - 1 4 - - 2 - 3 - 6 - - - - - - 7 1 3 5 - 1 - - - - - - 7 - 8 - - 1 9 5 2 2 - 6 1 - - 5 - - - - - 7 - 9 - - - - - - 2 - 3 - - - Solved. Solution: 6 7 3 8 1 4 2 9 5 8 5 2 3 9 6 1 7 4 1 4 9 5 2 7 3 8 6 9 2 4 6 8 5 7 1 3 5 3 1 9 7 2 6 4 8 7 6 8 4 3 1 9 5 2 2 9 6 1 4 8 5 3 7 3 8 5 7 6 9 4 2 1 4 1 7 2 5 3 8 6 9 pop_state: Overpopped state stack! Row pushes: 31 Col pushes: 30 Square pushes: 22 Total pushes: 83 Object squash operations: 14 4 total squash operations Natural solver done; we won. Grand totals: Row pushes: 48 Col pushes: 39 Square pushes: 29 Grand total pushes: 116 Solved cells at each level: 1:0, 2:5, 3:0, 4:51 Solver level: 4 Raw rating: 6.46 Level adjustment: 7.00 Stars: 6 Done.