Starting board: - - - 4 6 5 - - - - 5 - 9 - 8 2 4 - - - - - - - - - - - - 4 - - - 9 2 - - - - - - - - - 1 - 2 6 - - - 8 - - - - 9 1 - 2 - 5 - - 8 - - 5 - - 7 3 3 - - - - - - - - Live cells: 57 Max freedoms: 7 Min freedoms: 1 Average: 3.79 Median: 4 Quartile: 3 Freedom counts: 1: 2 cells 2: 4 cells 3: 19 cells 4: 16 cells 5: 12 cells 6: 3 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: - - - 4 6 5 - - - - 5 - 9 - 8 2 4 - - - - - - - - - - - - 4 - - - 9 2 - - - - - - - - - 1 - 2 6 - - - 8 - - - - 9 1 - 2 - 5 - - 8 - - 5 - - 7 3 3 - - - - - - - - l3 actions: 0 Row pushes: 10 Col pushes: 7 Square pushes: 1 Total pushes: 18 Natural solver done; filled in 3 cells on this pass; board: - - - 4 6 5 - - - - 5 - 9 - 8 2 4 - - - - - - - - - - - - 4 - - - 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 - - - 9 1 - 2 - 5 - - 8 - 6 5 - - 7 3 3 - - - - - - - - Board assessment after first pass: Live cells: 54 Max freedoms: 7 Min freedoms: 2 Average: 3.59 Median: 3 Quartile: 3 Freedom counts: 1: 0 cells 2: 8 cells 3: 20 cells 4: 16 cells 5: 7 cells 6: 2 cells 7: 1 cells Range, 1-3 freedoms: 28; 5-7 freedoms: 10 Ratio, 5-7 to 1-3: 0.36 Natural solver starting(mode=partial_positive); board: - - - 4 6 5 - - - - 5 - 9 - 8 2 4 - - - - - - - - - - - - 4 - - - 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 - - - 9 1 - 2 - 5 - - 8 - 6 5 - - 7 3 3 - - - - - - - - l3 actions: 0 Row pushes: 18 Col pushes: 11 Square pushes: 4 Total pushes: 33 Natural solver done; filled in 10 cells on this pass; board: - - - 4 6 5 3 - - - 5 3 9 - 8 2 4 - - - - - - - - - - - - 4 - - 6 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 4 - - 9 1 3 2 - 5 8 - 8 - 6 5 9 - 7 3 3 - 5 - - - - 9 2 Board assessment after second pass: Live cells: 44 Max freedoms: 7 Min freedoms: 2 Average: 3.14 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 15 cells 3: 15 cells 4: 9 cells 5: 4 cells 6: 0 cells 7: 1 cells Range, 1-3 freedoms: 30; 5-7 freedoms: 5 Ratio, 5-7 to 1-3: 0.17 Natural solver starting(mode=positive_with_multiset); board: - - - 4 6 5 3 - - - 5 3 9 - 8 2 4 - - - - - - - - - - - - 4 - - 6 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 4 - - 9 1 3 2 - 5 8 - 8 - 6 5 9 - 7 3 3 - 5 - - - - 9 2 l3 actions: 2 2 useful internal multiset operations at size 2 L3 internal record: 2/5, 2/5 Row pushes: 2 Col pushes: 1 Square pushes: 0 Total pushes: 3 Natural solver done; filled in 0 cells on this pass; board: - - - 4 6 5 3 - - - 5 3 9 - 8 2 4 - - - - - - - - - - - - 4 - - 6 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 4 - - 9 1 3 2 - 5 8 - 8 - 6 5 9 - 7 3 3 - 5 - - - - 9 2 Board assessment after third pass: Live cells: 44 Max freedoms: 7 Min freedoms: 2 Average: 3.14 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 15 cells 3: 15 cells 4: 9 cells 5: 4 cells 6: 0 cells 7: 1 cells Range, 1-3 freedoms: 30; 5-7 freedoms: 5 Ratio, 5-7 to 1-3: 0.17 Natural solver starting(mode=esoteric1); board: - - - 4 6 5 3 - - - 5 3 9 - 8 2 4 - - - - - - - - - - - - 4 - - 6 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 4 - - 9 1 3 2 - 5 8 - 8 - 6 5 9 - 7 3 3 - 5 - - - - 9 2 Row pushes: 0 Col pushes: 0 Square pushes: 0 Total pushes: 0 Object squash operations: 2 1 total squash operations Natural solver done; filled in 0 cells on this pass; board: - - - 4 6 5 3 - - - 5 3 9 - 8 2 4 - - - - - - - - - - - - 4 - - 6 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 4 - - 9 1 3 2 - 5 8 - 8 - 6 5 9 - 7 3 3 - 5 - - - - 9 2 Board assessment after fourth pass: Live cells: 44 Max freedoms: 7 Min freedoms: 2 Average: 3.14 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 15 cells 3: 15 cells 4: 9 cells 5: 4 cells 6: 0 cells 7: 1 cells Range, 1-3 freedoms: 30; 5-7 freedoms: 5 Ratio, 5-7 to 1-3: 0.17 Natural solver starting(mode=esoteric2); board: - - - 4 6 5 3 - - - 5 3 9 - 8 2 4 - - - - - - - - - - - - 4 - - 6 9 2 - - - - - - - - 6 1 - 2 6 - - - 8 3 4 - - 9 1 3 2 - 5 8 - 8 - 6 5 9 - 7 3 3 - 5 - - - - 9 2 Solved. Solution: 8 9 2 4 6 5 3 1 7 1 5 3 9 7 8 2 4 6 6 4 7 2 1 3 5 8 9 7 1 4 3 8 6 9 2 5 9 3 8 5 2 4 7 6 1 5 2 6 7 9 1 8 3 4 4 7 9 1 3 2 6 5 8 2 8 1 6 5 9 4 7 3 3 6 5 8 4 7 1 9 2 pop_state: Overpopped state stack! Row pushes: 25 Col pushes: 30 Square pushes: 18 Total pushes: 73 Object squash operations: 2 Exterior multiset freedom zaps: 7 1 productive irregular multiset hits of size 5 Irregular external record: 5/9 Interior multiset freedom zaps: 0 Natural solver done; we won. Grand totals: Row pushes: 55 Col pushes: 49 Square pushes: 23 Grand total pushes: 127 Solved cells at each level: 1:3, 2:10, 3:0, 4:0 Solver level: 5 Raw rating: 7.95 Level adjustment: 4.20 Stars: 5 Done.