Starting board: - - 7 - - 1 - - 3 - 4 - - 2 - - 6 - 8 - - 3 - - 5 - - - - 4 - - 2 - - 6 - 5 - - 3 - - 4 - 6 - - 7 - - 9 - - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 - - Live cells: 54 Max freedoms: 6 Min freedoms: 2 Average: 3.57 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 2 cells 3: 25 cells 4: 22 cells 5: 4 cells 6: 1 cells Range, 1-3 freedoms: 27; 5-7 freedoms: 5 Ratio, 5-7 to 1-3: 0.19 Natural solver starting(mode=constraints_only); board: - - 7 - - 1 - - 3 - 4 - - 2 - - 6 - 8 - - 3 - - 5 - - - - 4 - - 2 - - 6 - 5 - - 3 - - 4 - 6 - - 7 - - 9 - - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 - - 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: - - 7 - - 1 - - 3 - 4 - - 2 - - 6 - 8 - - 3 - - 5 - - - - 4 - - 2 - - 6 - 5 - - 3 - - 4 - 6 - - 7 - - 9 - - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 - - Board assessment after first pass: Live cells: 54 Max freedoms: 6 Min freedoms: 2 Average: 3.57 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 2 cells 3: 25 cells 4: 22 cells 5: 4 cells 6: 1 cells Range, 1-3 freedoms: 27; 5-7 freedoms: 5 Ratio, 5-7 to 1-3: 0.19 Natural solver starting(mode=partial_positive); board: - - 7 - - 1 - - 3 - 4 - - 2 - - 6 - 8 - - 3 - - 5 - - - - 4 - - 2 - - 6 - 5 - - 3 - - 4 - 6 - - 7 - - 9 - - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 - - l3 actions: 0 Row pushes: 20 Col pushes: 26 Square pushes: 19 Total pushes: 65 Natural solver done; filled in 12 cells on this pass; board: - 6 7 - - 1 2 - 3 3 4 - - 2 - - 6 - 8 2 1 3 - - 5 - 4 - 7 4 - - 2 3 - 6 - 5 - - 3 - - 4 - 6 8 3 7 - - 9 2 - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 3 - Board assessment after second pass: Live cells: 42 Max freedoms: 6 Min freedoms: 2 Average: 3.12 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 14 cells 4: 10 cells 5: 3 cells 6: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.14 Natural solver starting(mode=positive_with_multiset); board: - 6 7 - - 1 2 - 3 3 4 - - 2 - - 6 - 8 2 1 3 - - 5 - 4 - 7 4 - - 2 3 - 6 - 5 - - 3 - - 4 - 6 8 3 7 - - 9 2 - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 3 - l3 actions: 2 1 useful external multiset operations at size 2 L3 external record: 2/6 1 useful internal multiset operations at size 2 L3 internal record: 2/4 Row pushes: 5 Col pushes: 3 Square pushes: 1 Total pushes: 9 Natural solver done; filled in 0 cells on this pass; board: - 6 7 - - 1 2 - 3 3 4 - - 2 - - 6 - 8 2 1 3 - - 5 - 4 - 7 4 - - 2 3 - 6 - 5 - - 3 - - 4 - 6 8 3 7 - - 9 2 - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 3 - Board assessment after third pass: Live cells: 42 Max freedoms: 6 Min freedoms: 2 Average: 3.12 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 14 cells 4: 10 cells 5: 3 cells 6: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.14 Natural solver starting(mode=esoteric1); board: - 6 7 - - 1 2 - 3 3 4 - - 2 - - 6 - 8 2 1 3 - - 5 - 4 - 7 4 - - 2 3 - 6 - 5 - - 3 - - 4 - 6 8 3 7 - - 9 2 - - - 8 - - 3 - - 2 - 3 - - 8 - - 1 - 7 - - 2 - - 8 3 - Solved. Solution: 5 6 7 4 9 1 2 8 3 3 4 9 5 2 8 1 6 7 8 2 1 3 7 6 5 9 4 9 7 4 8 1 2 3 5 6 1 5 2 6 3 9 7 4 8 6 8 3 7 4 5 9 2 1 4 9 8 1 5 3 6 7 2 2 3 6 9 8 7 4 1 5 7 1 5 2 6 4 8 3 9 pop_state: Overpopped state stack! Row pushes: 38 Col pushes: 30 Square pushes: 30 Total pushes: 98 Object squash operations: 4 1 total squash operations Natural solver done; we won. Grand totals: Row pushes: 63 Col pushes: 59 Square pushes: 50 Grand total pushes: 172 Solved cells at each level: 1:0, 2:12, 3:0, 4:42 Solver level: 4 Raw rating: 4.26 Level adjustment: 2.80 Stars: 4 Done.