Starting board: - - 1 - - - 2 - - - 3 - 4 - 1 - 5 - 5 - - - 2 - - - 6 - 4 - 5 - 7 - 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 - 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 - - - 9 - - - 5 - - Live cells: 52 Max freedoms: 6 Min freedoms: 2 Average: 3.38 Median: 3 Quartile: 3 Freedom counts: 1: 0 cells 2: 9 cells 3: 19 cells 4: 20 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=constraints_only); board: - - 1 - - - 2 - - - 3 - 4 - 1 - 5 - 5 - - - 2 - - - 6 - 4 - 5 - 7 - 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 - 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 - - - 9 - - - 5 - - 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 - - - 2 - - - 3 - 4 - 1 - 5 - 5 - - - 2 - - - 6 - 4 - 5 - 7 - 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 - 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 - - - 9 - - - 5 - - Board assessment after first pass: Live cells: 52 Max freedoms: 6 Min freedoms: 2 Average: 3.38 Median: 3 Quartile: 3 Freedom counts: 1: 0 cells 2: 9 cells 3: 19 cells 4: 20 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=partial_positive); board: - - 1 - - - 2 - - - 3 - 4 - 1 - 5 - 5 - - - 2 - - - 6 - 4 - 5 - 7 - 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 - 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 - - - 9 - - - 5 - - l3 actions: 0 Row pushes: 13 Col pushes: 6 Square pushes: 5 Total pushes: 24 Natural solver done; filled in 8 cells on this pass; board: - - 1 6 - 5 2 - - - 3 - 4 - 1 8 5 - 5 - - - 2 - 1 - 6 - 4 - 5 - 7 6 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 5 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 1 - - 9 - - - 5 - 8 Board assessment after second pass: Live cells: 44 Max freedoms: 6 Min freedoms: 2 Average: 3.07 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 12 cells 3: 20 cells 4: 10 cells 5: 1 cells 6: 1 cells Range, 1-3 freedoms: 32; 5-7 freedoms: 2 Ratio, 5-7 to 1-3: 0.06 Natural solver starting(mode=positive_with_multiset); board: - - 1 6 - 5 2 - - - 3 - 4 - 1 8 5 - 5 - - - 2 - 1 - 6 - 4 - 5 - 7 6 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 5 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 1 - - 9 - - - 5 - 8 l3 actions: 1 1 useful internal multiset operations at size 2 L3 internal record: 2/4 Row pushes: 1 Col pushes: 0 Square pushes: 0 Total pushes: 1 Natural solver done; filled in 0 cells on this pass; board: - - 1 6 - 5 2 - - - 3 - 4 - 1 8 5 - 5 - - - 2 - 1 - 6 - 4 - 5 - 7 6 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 5 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 1 - - 9 - - - 5 - 8 Board assessment after third pass: Live cells: 44 Max freedoms: 6 Min freedoms: 2 Average: 3.07 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 12 cells 3: 20 cells 4: 10 cells 5: 1 cells 6: 1 cells Range, 1-3 freedoms: 32; 5-7 freedoms: 2 Ratio, 5-7 to 1-3: 0.06 Natural solver starting(mode=esoteric1); board: - - 1 6 - 5 2 - - - 3 - 4 - 1 8 5 - 5 - - - 2 - 1 - 6 - 4 - 5 - 7 6 8 - - - 5 - 6 - 3 - - - 6 - 3 - 2 - 1 5 8 - - - 5 - - - 3 - 5 - 7 - 8 - 6 1 - - 9 - - - 5 - 8 Solved. Solution: 4 9 1 6 8 5 2 3 7 2 3 6 4 7 1 8 5 9 5 8 7 9 2 3 1 4 6 9 4 3 5 1 7 6 8 2 1 2 5 8 6 9 3 7 4 7 6 8 3 4 2 9 1 5 8 1 4 2 5 6 7 9 3 3 5 2 7 9 8 4 6 1 6 7 9 1 3 4 5 2 8 pop_state: Overpopped state stack! Row pushes: 27 Col pushes: 31 Square pushes: 29 Total pushes: 87 Object squash operations: 4 1 total squash operations Natural solver done; we won. Grand totals: Row pushes: 41 Col pushes: 37 Square pushes: 34 Grand total pushes: 112 Solved cells at each level: 1:0, 2:8, 3:0, 4:44 Solver level: 4 Raw rating: 3.20 Level adjustment: 2.70 Stars: 4 Done.