Starting board: - - 3 - - - 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 - - - 6 - - - 7 - 5 6 4 - 3 2 1 - 4 - - - 1 - - - 3 9 - - - 5 - - - 2 - 3 - 9 - 8 - 4 - - - 5 - - - 1 - - Live cells: 51 Max freedoms: 5 Min freedoms: 1 Average: 3.27 Median: 3 Quartile: 3 Freedom counts: 1: 2 cells 2: 8 cells 3: 19 cells 4: 18 cells 5: 4 cells Range, 1-3 freedoms: 29; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.14 Natural solver starting(mode=constraints_only); board: - - 3 - - - 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 - - - 6 - - - 7 - 5 6 4 - 3 2 1 - 4 - - - 1 - - - 3 9 - - - 5 - - - 2 - 3 - 9 - 8 - 4 - - - 5 - - - 1 - - l3 actions: 0 Row pushes: 6 Col pushes: 2 Square pushes: 0 Total pushes: 8 Natural solver done; filled in 2 cells on this pass; board: - - 3 - - - 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 - - - 6 - - - 7 7 5 6 4 - 3 2 1 - 4 - - - 1 - - - 3 9 - - - 5 - - - 2 - 3 - 9 7 8 - 4 - - - 5 - - - 1 - - Board assessment after first pass: Live cells: 49 Max freedoms: 5 Min freedoms: 2 Average: 3.16 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 17 cells 4: 14 cells 5: 4 cells Range, 1-3 freedoms: 31; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.13 Natural solver starting(mode=partial_positive); board: - - 3 - - - 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 - - - 6 - - - 7 7 5 6 4 - 3 2 1 - 4 - - - 1 - - - 3 9 - - - 5 - - - 2 - 3 - 9 7 8 - 4 - - - 5 - - - 1 - - l3 actions: 0 Row pushes: 13 Col pushes: 11 Square pushes: 3 Total pushes: 27 Natural solver done; filled in 8 cells on this pass; board: - - 3 - - - 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 - - - 6 - 4 - 7 7 5 6 4 9 3 2 1 8 4 - - - 1 - - - 3 9 4 7 - 5 - - - 2 - 3 - 9 7 8 - 4 - - 8 5 - - - 1 7 9 Board assessment after second pass: Live cells: 41 Max freedoms: 4 Min freedoms: 2 Average: 2.76 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 17 cells 3: 17 cells 4: 7 cells Range, 1-3 freedoms: 34; 5-7 freedoms: 0 Ratio, 5-7 to 1-3: 0.00 Natural solver starting(mode=positive_with_multiset); board: - - 3 - - - 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 - - - 6 - 4 - 7 7 5 6 4 9 3 2 1 8 4 - - - 1 - - - 3 9 4 7 - 5 - - - 2 - 3 - 9 7 8 - 4 - - 8 5 - - - 1 7 9 l3 actions: 3 1 useful external multiset operations at size 2 L3 external record: 2/5 2 useful internal multiset operations at size 2 L3 internal record: 2/5, 2/4 Row pushes: 7 Col pushes: 13 Square pushes: 9 Total pushes: 29 Natural solver done; filled in 5 cells on this pass; board: - - 3 - - 1 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 1 - - 6 - 4 - 7 7 5 6 4 9 3 2 1 8 4 - - - 1 - - - 3 9 4 7 1 5 6 - - 2 - 3 - 9 7 8 - 4 - 6 8 5 - - - 1 7 9 Board assessment after third pass: Live cells: 36 Max freedoms: 4 Min freedoms: 2 Average: 2.56 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 20 cells 3: 12 cells 4: 4 cells Range, 1-3 freedoms: 32; 5-7 freedoms: 0 Ratio, 5-7 to 1-3: 0.00 Natural solver starting(mode=esoteric1); board: - - 3 - - 1 7 - - - 7 - 6 - 9 - 2 - 8 - - - 2 - - - 1 3 1 - - 6 - 4 - 7 7 5 6 4 9 3 2 1 8 4 - - - 1 - - - 3 9 4 7 1 5 6 - - 2 - 3 - 9 7 8 - 4 - 6 8 5 - - - 1 7 9 Solved. Solution: 2 9 3 5 4 1 7 8 6 5 7 1 6 8 9 3 2 4 8 6 4 3 2 7 5 9 1 3 1 9 8 6 2 4 5 7 7 5 6 4 9 3 2 1 8 4 2 8 7 1 5 9 6 3 9 4 7 1 5 6 8 3 2 1 3 2 9 7 8 6 4 5 6 8 5 2 3 4 1 7 9 pop_state: Overpopped state stack! Row pushes: 15 Col pushes: 16 Square pushes: 16 Total pushes: 47 Object squash operations: 1 1 total squash operations Natural solver done; we won. Grand totals: Row pushes: 41 Col pushes: 42 Square pushes: 28 Grand total pushes: 111 Solved cells at each level: 1:2, 2:8, 3:5, 4:36 Solver level: 4 Raw rating: 2.71 Level adjustment: 3.50 Stars: 4 Done.