Starting board: 0 0 4 0 0 0 6 0 0 0 7 0 2 0 6 0 8 0 2 0 0 0 1 0 0 0 7 7 0 0 0 9 0 0 0 4 0 8 5 1 0 3 7 2 0 4 0 0 0 5 0 0 0 1 9 0 0 0 2 0 0 0 6 0 1 0 4 0 9 0 5 0 0 0 2 0 0 0 9 0 0 Live cells: 51 Max freedoms: 5 Min freedoms: 1 Average: 3.22 Median: 3 Quartile: 3 Freedom counts: 1: 2 cells 2: 7 cells 3: 22 cells 4: 18 cells 5: 2 cells Range, 1-3 freedoms: 31; 5-7 freedoms: 2 Ratio, 5-7 to 1-3: 0.06 Natural solver starting(mode=constraints_only); board: - - 4 - - - 6 - - - 7 - 2 - 6 - 8 - 2 - - - 1 - - - 7 7 - - - 9 - - - 4 - 8 5 1 - 3 7 2 - 4 - - - 5 - - - 1 9 - - - 2 - - - 6 - 1 - 4 - 9 - 5 - - - 2 - - - 9 - - l3 actions: 0 Row pushes: 21 Col pushes: 17 Square pushes: 16 Total pushes: 54 Natural solver done; filled in 26 cells on this pass; board: - - 4 - - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 - 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - - 9 - - Board assessment after first pass: Live cells: 25 Max freedoms: 4 Min freedoms: 2 Average: 2.48 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 10 cells 4: 1 cells Range, 1-3 freedoms: 24; 5-7 freedoms: 0 Ratio, 5-7 to 1-3: 0.00 Natural solver starting(mode=partial_positive); board: - - 4 - - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 - 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - - 9 - - l3 actions: 0 Row pushes: 3 Col pushes: 0 Square pushes: 0 Total pushes: 3 Natural solver done; filled in 3 cells on this pass; board: - - 4 9 - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - 1 9 - - Board assessment after second pass: Live cells: 22 Max freedoms: 4 Min freedoms: 2 Average: 2.45 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 13 cells 3: 8 cells 4: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 0 Ratio, 5-7 to 1-3: 0.00 Natural solver starting(mode=positive_with_multiset); board: - - 4 9 - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - 1 9 - - 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: - - 4 9 - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - 1 9 - - Board assessment after third pass: Live cells: 22 Max freedoms: 4 Min freedoms: 2 Average: 2.45 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 13 cells 3: 8 cells 4: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 0 Ratio, 5-7 to 1-3: 0.00 Natural solver starting(mode=esoteric1); board: - - 4 9 - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - 1 9 - - Row pushes: 0 Col pushes: 0 Square pushes: 0 Total pushes: 0 Object squash operations: 0 Natural solver done; filled in 0 cells on this pass; board: - - 4 9 - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - 1 9 - - Board assessment after fourth pass: Live cells: 22 Max freedoms: 4 Min freedoms: 2 Average: 2.45 Median: 2 Quartile: 2 Freedom counts: 1: 0 cells 2: 13 cells 3: 8 cells 4: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 0 Ratio, 5-7 to 1-3: 0.00 Natural solver starting(mode=esoteric2); board: - - 4 9 - - 6 1 2 1 7 9 2 3 6 4 8 5 2 - - - 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 - - - 2 - 1 - 6 - 1 - 4 - 9 2 5 - - - 2 - - 1 9 - - Solved. Solution: 3 5 4 9 8 7 6 1 2 1 7 9 2 3 6 4 8 5 2 6 8 5 1 4 3 9 7 7 2 1 6 9 8 5 3 4 6 8 5 1 4 3 7 2 9 4 9 3 7 5 2 8 6 1 9 3 7 8 2 5 1 4 6 8 1 6 4 7 9 2 5 3 5 4 2 3 6 1 9 7 8 pop_state: Overpopped state stack! Row pushes: 6 Col pushes: 9 Square pushes: 10 Total pushes: 25 Object squash operations: 0 Exterior multiset freedom zaps: 3 1 productive irregular multiset hits of size 3 Irregular external record: 3/6 Interior multiset freedom zaps: 0 Natural solver done; we won. Grand totals: Row pushes: 31 Col pushes: 26 Square pushes: 26 Grand total pushes: 83 Solved cells at each level: 1:26, 2:3, 3:0, 4:0 Solver level: 5 Raw rating: 3.43 Level adjustment: 1.10 Stars: 4 Done.