Starting board: - - 9 - 7 1 - 6 - - - - 2 - 5 - - 7 8 - 2 3 - - - - - 1 8 - - - - - 5 - - - - - - - - - - 6 3 - - - - 4 - - - - 3 9 5 - 7 - 8 - 1 - - 4 - - - - - - - - - - 3 - - Live cells: 57 Max freedoms: 7 Min freedoms: 2 Average: 3.81 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 10 cells 3: 15 cells 4: 16 cells 5: 9 cells 6: 6 cells 7: 1 cells Range, 1-3 freedoms: 25; 5-7 freedoms: 16 Ratio, 5-7 to 1-3: 0.64 Natural solver starting(mode=constraints_only); board: - - 9 - 7 1 - 6 - - - - 2 - 5 - - 7 8 - 2 3 - - - - - 1 8 - - - - - 5 - - - - - - - - - - 6 3 - - - - 4 - - - - 3 9 5 - 7 - 8 - 1 - - 4 - - - - - - - - - - 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: - - 9 - 7 1 - 6 - - - - 2 - 5 - - 7 8 - 2 3 - - - - - 1 8 - - - - - 5 - - - - - - - - - - 6 3 - - - - 4 - - - - 3 9 5 - 7 - 8 - 1 - - 4 - - - - - - - - - - 3 - - Board assessment after first pass: Live cells: 57 Max freedoms: 7 Min freedoms: 2 Average: 3.81 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 10 cells 3: 15 cells 4: 16 cells 5: 9 cells 6: 6 cells 7: 1 cells Range, 1-3 freedoms: 25; 5-7 freedoms: 16 Ratio, 5-7 to 1-3: 0.64 Natural solver starting(mode=partial_positive); board: - - 9 - 7 1 - 6 - - - - 2 - 5 - - 7 8 - 2 3 - - - - - 1 8 - - - - - 5 - - - - - - - - - - 6 3 - - - - 4 - - - - 3 9 5 - 7 - 8 - 1 - - 4 - - - - - - - - - - 3 - - l3 actions: 0 Row pushes: 18 Col pushes: 11 Square pushes: 8 Total pushes: 37 Natural solver done; filled in 7 cells on this pass; board: - - 9 - 7 1 - 6 - - 6 1 2 - 5 - - 7 8 7 2 3 6 - - - - 1 8 - - - - - 5 - - - - - - - - - - 6 3 - - - - 4 - - - - 3 9 5 6 7 1 8 - 1 - - 4 3 - - - - - - - - - 3 - - Board assessment after second pass: Live cells: 50 Max freedoms: 6 Min freedoms: 2 Average: 3.46 Median: 4 Quartile: 2 Freedom counts: 1: 0 cells 2: 13 cells 3: 12 cells 4: 15 cells 5: 9 cells 6: 1 cells Range, 1-3 freedoms: 25; 5-7 freedoms: 10 Ratio, 5-7 to 1-3: 0.40 Natural solver starting(mode=positive_with_multiset); board: - - 9 - 7 1 - 6 - - 6 1 2 - 5 - - 7 8 7 2 3 6 - - - - 1 8 - - - - - 5 - - - - - - - - - - 6 3 - - - - 4 - - - - 3 9 5 6 7 1 8 - 1 - - 4 3 - - - - - - - - - 3 - - l3 actions: 5 1 useful external multiset operations at size 2 L3 external record: 2/7 4 useful internal multiset operations at size 2 L3 internal record: 2/4, 2/4, 2/5, 2/6 Row pushes: 14 Col pushes: 11 Square pushes: 14 Total pushes: 39 Natural solver done; filled in 9 cells on this pass; board: 3 5 9 - 7 1 - 6 - 4 6 1 2 - 5 - 3 7 8 7 2 3 6 - - - - 1 8 - - - - - 5 - 9 2 - - - - - - - 6 3 - - - - 4 - - 2 4 3 9 5 6 7 1 8 - 1 - - 4 3 - - - - 9 - - - - 3 - - Board assessment after third pass: Live cells: 41 Max freedoms: 6 Min freedoms: 2 Average: 3.00 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 15 cells 3: 13 cells 4: 12 cells 5: 0 cells 6: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 1 Ratio, 5-7 to 1-3: 0.04 Natural solver starting(mode=esoteric1); board: 3 5 9 - 7 1 - 6 - 4 6 1 2 - 5 - 3 7 8 7 2 3 6 - - - - 1 8 - - - - - 5 - 9 2 - - - - - - - 6 3 - - - - 4 - - 2 4 3 9 5 6 7 1 8 - 1 - - 4 3 - - - - 9 - - - - 3 - - Solved. Solution: 3 5 9 8 7 1 2 6 4 4 6 1 2 9 5 8 3 7 8 7 2 3 6 4 5 9 1 1 8 4 6 2 7 9 5 3 9 2 5 4 3 8 1 7 6 6 3 7 5 1 9 4 8 2 2 4 3 9 5 6 7 1 8 5 1 8 7 4 3 6 2 9 7 9 6 1 8 2 3 4 5 pop_state: Overpopped state stack! Row pushes: 23 Col pushes: 21 Square pushes: 15 Total pushes: 59 Object squash operations: 2 1 total squash operations Natural solver done; we won. Grand totals: Row pushes: 55 Col pushes: 43 Square pushes: 37 Grand total pushes: 135 Solved cells at each level: 1:0, 2:7, 3:9, 4:41 Solver level: 4 Raw rating: 6.97 Level adjustment: 4.80 Stars: 5 Done.