Starting board: - - - - - - - - - - 7 4 1 - 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 - 4 6 1 - - - - - - - - - - Live cells: 53 Max freedoms: 9 Min freedoms: 2 Average: 3.96 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 7 cells 3: 14 cells 4: 15 cells 5: 11 cells 6: 5 cells 7: 0 cells 8: 0 cells 9: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 17 Ratio, 5-7 to 1-3: 0.81 Natural solver starting(mode=constraints_only); board: - - - - - - - - - - 7 4 1 - 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 - 4 6 1 - - - - - - - - - - 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 4 1 - 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 - 4 6 1 - - - - - - - - - - Board assessment after first pass: Live cells: 53 Max freedoms: 9 Min freedoms: 2 Average: 3.96 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 7 cells 3: 14 cells 4: 15 cells 5: 11 cells 6: 5 cells 7: 0 cells 8: 0 cells 9: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 17 Ratio, 5-7 to 1-3: 0.81 Natural solver starting(mode=partial_positive); board: - - - - - - - - - - 7 4 1 - 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 - 4 6 1 - - - - - - - - - - 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 4 1 - 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 - 4 6 1 - - - - - - - - - - Board assessment after second pass: Live cells: 53 Max freedoms: 9 Min freedoms: 2 Average: 3.96 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 7 cells 3: 14 cells 4: 15 cells 5: 11 cells 6: 5 cells 7: 0 cells 8: 0 cells 9: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 17 Ratio, 5-7 to 1-3: 0.81 Natural solver starting(mode=positive_with_multiset); board: - - - - - - - - - - 7 4 1 - 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 - 4 6 1 - - - - - - - - - - l3 actions: 4 2 useful external multiset operations at size 2 L3 external record: 2/9, 2/5 2 useful internal multiset operations at size 2 L3 internal record: 2/4, 2/5 Row pushes: 11 Col pushes: 12 Square pushes: 5 Total pushes: 28 Natural solver done; filled in 2 cells on this pass; board: - - - - - - - - - - 7 4 1 6 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 5 4 6 1 - - - - - - - - - - Board assessment after third pass: Live cells: 51 Max freedoms: 7 Min freedoms: 2 Average: 3.71 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 8 cells 3: 17 cells 4: 14 cells 5: 7 cells 6: 4 cells 7: 1 cells Range, 1-3 freedoms: 25; 5-7 freedoms: 12 Ratio, 5-7 to 1-3: 0.48 Natural solver starting(mode=esoteric1); board: - - - - - - - - - - 7 4 1 6 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 5 4 6 1 - - - - - - - - - - Row pushes: 3 Col pushes: 0 Square pushes: 0 Total pushes: 3 Object squash operations: 3 1 total squash operations Natural solver done; filled in 0 cells on this pass; board: - - - - - - - - - - 7 4 1 6 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 5 4 6 1 - - - - - - - - - - Board assessment after fourth pass: Live cells: 51 Max freedoms: 7 Min freedoms: 2 Average: 3.71 Median: 4 Quartile: 3 Freedom counts: 1: 0 cells 2: 8 cells 3: 17 cells 4: 14 cells 5: 7 cells 6: 4 cells 7: 1 cells Range, 1-3 freedoms: 25; 5-7 freedoms: 12 Ratio, 5-7 to 1-3: 0.48 Natural solver starting(mode=esoteric2); board: - - - - - - - - - - 7 4 1 6 3 5 - - - - 6 5 - 8 4 7 - - 1 2 - - - 3 4 - - - - - - - - - - - 4 5 - - - 1 2 - - 6 1 3 - - 8 5 - - - 8 7 5 4 6 1 - - - - - - - - - - l3 actions: 1 1 useful external multiset operations at size 2 L3 external record: 2/9 Solved. Solution: 5 8 3 4 7 9 2 6 1 2 7 4 1 6 3 5 9 8 1 9 6 5 2 8 4 7 3 9 1 2 6 8 5 3 4 7 6 3 7 2 4 1 9 8 5 8 4 5 9 3 7 1 2 6 7 6 1 3 9 2 8 5 4 3 2 8 7 5 4 6 1 9 4 5 9 8 1 6 7 3 2 pop_state: Overpopped state stack! Row pushes: 22 Col pushes: 29 Square pushes: 11 Total pushes: 62 Object squash operations: 4 1 total squash operations Exterior multiset freedom zaps: 8 1 productive irregular multiset hits of size 4 Irregular external record: 4/9 Interior multiset freedom zaps: 0 Natural solver done; we won. Grand totals: Row pushes: 36 Col pushes: 41 Square pushes: 16 Grand total pushes: 93 Solved cells at each level: 1:0, 2:0, 3:2, 4:0 Solver level: 5 Raw rating: 7.15 Level adjustment: 8.00 Stars: 6 Done.