Starting board: 1 5 - 2 - - - 6 7 8 - 7 - 5 6 1 4 - 4 - - - - 3 - - 2 - - - - 2 - - 1 - - - - - - - - - - 2 1 6 - - - - 3 - - 3 - - - - - 2 - - - - - 4 - - - - 5 7 - - - 1 - - 4 Live cells: 54 Max freedoms: 8 Min freedoms: 1 Average: 3.96 Median: 4 Quartile: 3 Freedom counts: 1: 2 cells 2: 8 cells 3: 11 cells 4: 14 cells 5: 11 cells 6: 5 cells 7: 2 cells 8: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 19 Ratio, 5-7 to 1-3: 0.90 Natural solver starting(mode=constraints_only); board: 1 5 - 2 - - - 6 7 8 - 7 - 5 6 1 4 - 4 - - - - 3 - - 2 - - - - 2 - - 1 - - - - - - - - - - 2 1 6 - - - - 3 - - 3 - - - - - 2 - - - - - 4 - - - - 5 7 - - - 1 - - 4 l3 actions: 0 Row pushes: 19 Col pushes: 5 Square pushes: 1 Total pushes: 25 Natural solver done; filled in 9 cells on this pass; board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - - - - 2 1 6 - - - - 3 - - 3 - - - - - 2 - - - - - 4 - - - - 5 7 - - - 1 - - 4 Board assessment after first pass: Live cells: 45 Max freedoms: 7 Min freedoms: 2 Average: 3.58 Median: 3 Quartile: 3 Freedom counts: 1: 0 cells 2: 10 cells 3: 13 cells 4: 12 cells 5: 7 cells 6: 2 cells 7: 1 cells Range, 1-3 freedoms: 23; 5-7 freedoms: 10 Ratio, 5-7 to 1-3: 0.43 Natural solver starting(mode=partial_positive); board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - - - - 2 1 6 - - - - 3 - - 3 - - - - - 2 - - - - - 4 - - - - 5 7 - - - 1 - - 4 l3 actions: 0 Row pushes: 9 Col pushes: 9 Square pushes: 4 Total pushes: 22 Natural solver done; filled in 7 cells on this pass; board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - 2 - - 2 1 6 - - - - 3 - - 3 4 - - - - 2 1 - 8 1 - 4 2 - - - 5 7 2 - - 1 - - 4 Board assessment after second pass: Live cells: 38 Max freedoms: 7 Min freedoms: 2 Average: 3.32 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 12 cells 3: 9 cells 4: 13 cells 5: 2 cells 6: 1 cells 7: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.19 Natural solver starting(mode=positive_with_multiset); board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - 2 - - 2 1 6 - - - - 3 - - 3 4 - - - - 2 1 - 8 1 - 4 2 - - - 5 7 2 - - 1 - - 4 l3 actions: 1 1 useful internal multiset operations at size 2 L3 internal record: 2/4 Row pushes: 2 Col pushes: 1 Square pushes: 0 Total pushes: 3 Natural solver done; filled in 0 cells on this pass; board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - 2 - - 2 1 6 - - - - 3 - - 3 4 - - - - 2 1 - 8 1 - 4 2 - - - 5 7 2 - - 1 - - 4 Board assessment after third pass: Live cells: 38 Max freedoms: 7 Min freedoms: 2 Average: 3.32 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 12 cells 3: 9 cells 4: 13 cells 5: 2 cells 6: 1 cells 7: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.19 Natural solver starting(mode=esoteric1); board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - 2 - - 2 1 6 - - - - 3 - - 3 4 - - - - 2 1 - 8 1 - 4 2 - - - 5 7 2 - - 1 - - 4 Row pushes: 3 Col pushes: 2 Square pushes: 0 Total pushes: 5 Object squash operations: 3 1 total squash operations Natural solver done; filled in 0 cells on this pass; board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - 2 - - 2 1 6 - - - - 3 - - 3 4 - - - - 2 1 - 8 1 - 4 2 - - - 5 7 2 - - 1 - - 4 Board assessment after fourth pass: Live cells: 38 Max freedoms: 7 Min freedoms: 2 Average: 3.32 Median: 3 Quartile: 2 Freedom counts: 1: 0 cells 2: 12 cells 3: 9 cells 4: 13 cells 5: 2 cells 6: 1 cells 7: 1 cells Range, 1-3 freedoms: 21; 5-7 freedoms: 4 Ratio, 5-7 to 1-3: 0.19 Natural solver starting(mode=esoteric2); board: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 - - 3 - - 2 - - - - 2 - - 1 - - - - - - - 2 - - 2 1 6 - - - - 3 - - 3 4 - - - - 2 1 - 8 1 - 4 2 - - - 5 7 2 - - 1 - - 4 l3 actions: 2 1 useful external multiset operations at size 2 L3 external record: 2/5 2 useful internal multiset operations at size 2 L3 internal record: 2/5, 2/5 Solved. Solution: 1 5 3 2 8 4 9 6 7 8 2 7 9 5 6 1 4 3 4 6 9 7 1 3 5 8 2 7 9 5 3 2 8 4 1 6 3 4 8 1 6 7 2 5 9 2 1 6 4 9 5 7 3 8 6 3 4 5 7 9 8 2 1 9 8 1 6 4 2 3 7 5 5 7 2 8 3 1 6 9 4 pop_state: Overpopped state stack! Row pushes: 29 Col pushes: 29 Square pushes: 20 Total pushes: 78 Object squash operations: 6 3 total squash operations Exterior multiset freedom zaps: 11 1 productive irregular multiset hits of size 4 Irregular external record: 4/8 Interior multiset freedom zaps: 0 Natural solver done; we won. Grand totals: Row pushes: 62 Col pushes: 46 Square pushes: 25 Grand total pushes: 133 Solved cells at each level: 1:9, 2:7, 3:0, 4:0 Solver level: 5 Raw rating: 7.81 Level adjustment: 7.40 Stars: 6 Done.