Starting board: 0 0 0 0 0 0 0 0 0 0 0 6 9 0 2 3 0 0 0 5 0 3 0 1 0 7 0 0 8 3 7 0 5 2 9 0 0 0 0 0 0 0 0 0 0 0 4 7 1 0 9 6 8 0 0 7 0 8 0 4 0 6 0 0 0 8 2 0 6 1 0 0 0 0 0 0 0 0 0 0 0 Live cells: 53 Max freedoms: 7 Min freedoms: 1 Average: 3.74 Median: 4 Quartile: 2 Freedom counts: 1: 2 cells 2: 12 cells 3: 7 cells 4: 17 cells 5: 11 cells 6: 0 cells 7: 4 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 15 Ratio, 5-7 to 1-3: 0.71 Natural solver starting(mode=constraints_only); board: - - - - - - - - - - - 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - - - - - - - l3 actions: 0 Row pushes: 8 Col pushes: 5 Square pushes: 0 Total pushes: 13 Natural solver done; filled in 2 cells on this pass; board: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - Board assessment after first pass: Live cells: 51 Max freedoms: 7 Min freedoms: 2 Average: 3.51 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 13 cells 4: 13 cells 5: 7 cells 6: 3 cells 7: 1 cells Range, 1-3 freedoms: 27; 5-7 freedoms: 11 Ratio, 5-7 to 1-3: 0.41 Natural solver starting(mode=partial_positive); board: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 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 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - Board assessment after second pass: Live cells: 51 Max freedoms: 7 Min freedoms: 2 Average: 3.51 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 13 cells 4: 13 cells 5: 7 cells 6: 3 cells 7: 1 cells Range, 1-3 freedoms: 27; 5-7 freedoms: 11 Ratio, 5-7 to 1-3: 0.41 Natural solver starting(mode=positive_with_multiset); board: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - l3 actions: 1 1 useful external multiset operations at size 2 L3 external record: 2/5 Row pushes: 1 Col pushes: 1 Square pushes: 1 Total pushes: 3 Natural solver done; filled in 0 cells on this pass; board: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - Board assessment after third pass: Live cells: 51 Max freedoms: 7 Min freedoms: 2 Average: 3.51 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 13 cells 4: 13 cells 5: 7 cells 6: 3 cells 7: 1 cells Range, 1-3 freedoms: 27; 5-7 freedoms: 11 Ratio, 5-7 to 1-3: 0.41 Natural solver starting(mode=esoteric1); board: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - 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: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - Board assessment after fourth pass: Live cells: 51 Max freedoms: 7 Min freedoms: 2 Average: 3.51 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 14 cells 3: 13 cells 4: 13 cells 5: 7 cells 6: 3 cells 7: 1 cells Range, 1-3 freedoms: 27; 5-7 freedoms: 11 Ratio, 5-7 to 1-3: 0.41 Natural solver starting(mode=esoteric2); board: - - - - - - - - - - 1 6 9 - 2 3 - - - 5 - 3 - 1 - 7 - - 8 3 7 - 5 2 9 - - - - - - - - - - - 4 7 1 - 9 6 8 - - 7 - 8 - 4 - 6 - - - 8 2 - 6 1 - - - - - 5 - - - - - Solved. Solution: 3 2 9 4 5 7 8 1 6 7 1 6 9 8 2 3 5 4 8 5 4 3 6 1 9 7 2 6 8 3 7 4 5 2 9 1 1 9 5 6 2 8 4 3 7 2 4 7 1 3 9 6 8 5 9 7 2 8 1 4 5 6 3 5 3 8 2 7 6 1 4 9 4 6 1 5 9 3 7 2 8 pop_state: Overpopped state stack! Row pushes: 33 Col pushes: 39 Square pushes: 31 Total pushes: 103 Object squash operations: 5 2 total squash operations Exterior multiset freedom zaps: 9 1 productive irregular multiset hits of size 4 Irregular external record: 4/7 Interior multiset freedom zaps: 0 Natural solver done; we won. Grand totals: Row pushes: 42 Col pushes: 45 Square pushes: 32 Grand total pushes: 119 Solved cells at each level: 1:2, 2:0, 3:0, 4:0 Solver level: 5 Raw rating: 6.64 Level adjustment: 5.80 Stars: 5 Done.