Analysis of xx-mith-te3-00125216-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4.6.89....891.2.8.21.64..18.....636.89......56.......4.68.91.....2...8...4..6. initial
Autosolve
position: .2.4.6.89....891.2.8.21.64..18.....636.89......56.......4.68.91.....2...8...4..6. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:04.466100
The following important HDP chains were detected:
* PRF # A4: 2,7 # A7: 5 => SOL * STA # A4: 2,7 + A7: 5 * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4.6.89....891.2.8.21.64..18.....636.89......56.......4.68.91.....2...8...4..6. | initial |
| .2.4.6.89....891.2.8.21.64..18.....636.89......56.......4.68.91.....2...8...4..6. | autosolve |
| 123456789456789132789213645218534976367891524945627813574368291631972458892145367 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) C5: 2,7 D8: 1,9 D9: 1,9 G8: 4,8 I8: 4,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C1: 1.. / A1 = 1 => 6 pairs (_) / C1 = 1 => 7 pairs (_) F5,F6: 1.. / F5 = 1 => 5 pairs (_) / F6 = 1 => 4 pairs (_) H5,H6: 1.. / H5 = 1 => 4 pairs (_) / H6 = 1 => 5 pairs (_) D8,D9: 1.. / D8 = 1 => 3 pairs (_) / D9 = 1 => 5 pairs (_) F5,H5: 1.. / F5 = 1 => 5 pairs (_) / H5 = 1 => 4 pairs (_) F6,H6: 1.. / F6 = 1 => 4 pairs (_) / H6 = 1 => 5 pairs (_) C9,D9: 1.. / C9 = 1 => 3 pairs (_) / D9 = 1 => 5 pairs (_) A1,A8: 1.. / A1 = 1 => 6 pairs (_) / A8 = 1 => 7 pairs (_) E4,E6: 2.. / E4 = 2 => 8 pairs (_) / E6 = 2 => 5 pairs (_) A7,C9: 2.. / A7 = 2 => 4 pairs (_) / C9 = 2 => 13 pairs (_) G7,G9: 2.. / G7 = 2 => 13 pairs (_) / G9 = 2 => 4 pairs (_) C5,H5: 2.. / C5 = 2 => 4 pairs (_) / H5 = 2 => 13 pairs (_) A7,G7: 2.. / A7 = 2 => 4 pairs (_) / G7 = 2 => 13 pairs (_) C9,G9: 2.. / C9 = 2 => 13 pairs (_) / G9 = 2 => 4 pairs (_) C5,C9: 2.. / C5 = 2 => 4 pairs (_) / C9 = 2 => 13 pairs (_) A2,B2: 4.. / A2 = 4 => 7 pairs (_) / B2 = 4 => 7 pairs (_) G8,I8: 4.. / G8 = 4 => 4 pairs (_) / I8 = 4 => 4 pairs (_) B2,B6: 4.. / B2 = 4 => 7 pairs (_) / B6 = 4 => 7 pairs (_) A2,C2: 6.. / A2 = 6 => 8 pairs (_) / C2 = 6 => 6 pairs (_) A8,C8: 6.. / A8 = 6 => 6 pairs (_) / C8 = 6 => 8 pairs (_) A2,A8: 6.. / A2 = 6 => 8 pairs (_) / A8 = 6 => 6 pairs (_) C2,C8: 6.. / C2 = 6 => 6 pairs (_) / C8 = 6 => 8 pairs (_) G6,I6: 8.. / G6 = 8 => 4 pairs (_) / I6 = 8 => 4 pairs (_) G8,I8: 8.. / G8 = 8 => 4 pairs (_) / I8 = 8 => 4 pairs (_) G6,G8: 8.. / G6 = 8 => 4 pairs (_) / G8 = 8 => 4 pairs (_) I6,I8: 8.. / I6 = 8 => 4 pairs (_) / I8 = 8 => 4 pairs (_) A3,C3: 9.. / A3 = 9 => 11 pairs (_) / C3 = 9 => 6 pairs (_) G4,G6: 9.. / G4 = 9 => 5 pairs (_) / G6 = 9 => 6 pairs (_) D8,D9: 9.. / D8 = 9 => 5 pairs (_) / D9 = 9 => 3 pairs (_) A4,G4: 9.. / A4 = 9 => 6 pairs (_) / G4 = 9 => 5 pairs (_) * DURATION: 0:00:08.782608 START: 19:20:27.236423 END: 19:20:36.019031 2025-04-06 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:04.341150 START: 19:20:40.704418 END: 19:20:45.045568 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00125216-base-pr-002.dot * REASONING * PRF # A4: 2,7 # A7: 5 => SOL * STA # A4: 2,7 + A7: 5 * CNT 1 HDP CHAINS / 19 HYP OPENED
Header Info
rating: 32656; r2: 633671; index: 125216
Solution
position: 123456789456789132789213645218534976367891524945627813574368291631972458892145367 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A4: 2,7 => UNS * INC # A6: 2,7 => UNS * INC # H5: 2,7 => UNS * INC # H5: 1,5 => UNS * INC # C9: 2,7 => UNS * INC # C9: 1,3,9 => UNS * INC # A8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # C9: 1,9 => UNS * INC # C9: 2,3,7 => UNS * INC # G6: 4,8 => UNS * INC # G6: 3,7,9 => UNS * INC # I6: 4,8 => UNS * INC # I6: 3,7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A4: 2,7 => UNS * INC # A6: 2,7 => UNS * INC # H5: 2,7 => UNS * INC # H5: 1,5 => UNS * INC # C9: 2,7 => UNS * INC # C9: 1,3,9 => UNS * INC # A8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # C9: 1,9 => UNS * INC # C9: 2,3,7 => UNS * INC # G6: 4,8 => UNS * INC # G6: 3,7,9 => UNS * INC # I6: 4,8 => UNS * INC # I6: 3,7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A4: 2,7 => UNS * INC # A6: 2,7 => UNS * INC # H5: 2,7 => UNS * INC # H5: 1,5 => UNS * INC # C9: 2,7 => UNS * INC # C9: 1,3,9 => UNS * INC # A8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # C9: 1,9 => UNS * INC # C9: 2,3,7 => UNS * INC # G6: 4,8 => UNS * INC # G6: 3,7,9 => UNS * INC # I6: 4,8 => UNS * INC # I6: 3,7 => UNS * INC # A4: 2,7 # E4: 2,7 => UNS * INC # A4: 2,7 # H4: 2,7 => UNS * INC # A4: 2,7 # A7: 2,7 => UNS * PRF # A4: 2,7 # A7: 5 => SOL * STA # A4: 2,7 + A7: 5 * CNT 18 HDP CHAINS / 19 HYP OPENED