Analysis of xx-mith-te3-00119141-base.sdk
Contents
Original Sudoku
level: medium
position: 1..45..8945..8912....2.1.....4..8.5...51...4....5.49.23........5.8912....6....2.. initial
Autosolve
position: 1..45..8945..8912....2.1.....4..8.5...51...4....5.49.23........5.8912....6....2.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # G7: 8 => SOL * CNT 1 HDP CHAINS / 21 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # G7: 8 => SOL * STA G7: 8 * CNT 1 HDP CHAINS / 2 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..45..8945..8912....2.1.....4..8.5...51...4....5.49.23........5.8912....6....2.. | initial |
| 1..45..8945..8912....2.1.....4..8.5...51...4....5.49.23........5.8912....6....2.. | autosolve |
| 123456789456789123789231564214398657695127348837564912342675891578912436961843275 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (10) G3: 4,5 I3: 4,5 E4: 2,9 E5: 2,9 B8: 4,7 A9: 7,9 D9: 3,8 E9: 3,4 F9: 3,5 H7: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,H6: 1.. / I4 = 1 => 11 pairs (_) / H6 = 1 => 18 pairs (_) B4,I4: 1.. / B4 = 1 => 18 pairs (_) / I4 = 1 => 11 pairs (_) C9,H9: 1.. / C9 = 1 => 12 pairs (_) / H9 = 1 => 12 pairs (_) I4,I7: 1.. / I4 = 1 => 11 pairs (_) / I7 = 1 => 18 pairs (_) B1,C1: 2.. / B1 = 2 => 10 pairs (_) / C1 = 2 => 13 pairs (_) A4,A5: 2.. / A4 = 2 => 8 pairs (_) / A5 = 2 => 9 pairs (_) E4,E5: 2.. / E4 = 2 => 9 pairs (_) / E5 = 2 => 8 pairs (_) B7,C7: 2.. / B7 = 2 => 13 pairs (_) / C7 = 2 => 10 pairs (_) A4,E4: 2.. / A4 = 2 => 8 pairs (_) / E4 = 2 => 9 pairs (_) A5,E5: 2.. / A5 = 2 => 9 pairs (_) / E5 = 2 => 8 pairs (_) B1,B7: 2.. / B1 = 2 => 10 pairs (_) / B7 = 2 => 13 pairs (_) C1,C7: 2.. / C1 = 2 => 13 pairs (_) / C7 = 2 => 10 pairs (_) G3,I3: 4.. / G3 = 4 => 9 pairs (_) / I3 = 4 => 10 pairs (_) B7,B8: 4.. / B7 = 4 => 18 pairs (_) / B8 = 4 => 11 pairs (_) E7,E9: 4.. / E7 = 4 => 9 pairs (_) / E9 = 4 => 11 pairs (_) E9,I9: 4.. / E9 = 4 => 11 pairs (_) / I9 = 4 => 9 pairs (_) G3,I3: 5.. / G3 = 5 => 10 pairs (_) / I3 = 5 => 9 pairs (_) F7,F9: 5.. / F7 = 5 => 11 pairs (_) / F9 = 5 => 11 pairs (_) F9,I9: 5.. / F9 = 5 => 11 pairs (_) / I9 = 5 => 11 pairs (_) G3,G7: 5.. / G3 = 5 => 10 pairs (_) / G7 = 5 => 9 pairs (_) A3,B3: 8.. / A3 = 8 => 11 pairs (_) / B3 = 8 => 10 pairs (_) A6,B6: 8.. / A6 = 8 => 10 pairs (_) / B6 = 8 => 11 pairs (_) G5,I5: 8.. / G5 = 8 => 11 pairs (_) / I5 = 8 => 0 pairs (*) D7,D9: 8.. / D7 = 8 => 12 pairs (_) / D9 = 8 => 12 pairs (_) D9,I9: 8.. / D9 = 8 => 12 pairs (_) / I9 = 8 => 12 pairs (_) A3,A6: 8.. / A3 = 8 => 11 pairs (_) / A6 = 8 => 10 pairs (_) B3,B6: 8.. / B3 = 8 => 10 pairs (_) / B6 = 8 => 11 pairs (_) G5,G7: 8.. / G5 = 8 => 11 pairs (_) / G7 = 8 => 0 pairs (*) E4,E5: 9.. / E4 = 9 => 8 pairs (_) / E5 = 9 => 9 pairs (_) H7,H9: 9.. / H7 = 9 => 11 pairs (_) / H9 = 9 => 11 pairs (_) * DURATION: 0:00:10.989728 START: 19:02:19.576335 END: 19:02:30.566063 2025-04-06 * CP COUNT: (30) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A9,B8,D9,E4,E5,E9,F9,G3,H7,I3) * 1..45..8945..8912....2.1.....4..8.5...51...4....5.49.23........5.8912....6....2.. * PAIR G3: 4,5 COL G G7: 4,5,8 # reduction candidate for 4,5 G7: 8 => SOLVED * 123456789456789123789231564214398657695127348837564912342675891578912436961843275 G7: 4,5 # 11 pairs * PAIR I3: 4,5 COL I I7: 4,5,1,8 # reduction candidate for 4,5 I7: 4,5 # 13 pairs I9: 4,5,8 # reduction candidate for 4,5 I9: 4,5 # 12 pairs * PAIR E4: 2,9 ROW 4 A4: 2,9,6,7 # reduction candidate for 2,9 A4: 6,7 # 12 pairs A4: 2,9 # 11 pairs * PAIR E5: 2,9 ROW 5 A5: 2,9,6,7 # reduction candidate for 2,9 A5: 2,9 # 12 pairs A5: 6,7 # 9 pairs * PAIR B8: 4,7 ROW 8 G8: 4,7,3,6 # reduction candidate for 4,7 G8: 4,7 # 13 pairs I8: 4,7,3,6 # reduction candidate for 4,7 I8: 4,7 # 14 pairs * PAIR A9: 7,9 BLK 7 C9: 7,9,1 # reduction candidate for 7,9 C9: 7,9 # 12 pairs C9: 1 # 12 pairs * PAIR A9: 7,9 ROW 9 H9: 7,9,1 # reduction candidate for 7,9 H9: 7,9 # 12 pairs H9: 1 # 12 pairs * PAIR A9: 7,9 COL A A3: 7,9,6,8 # reduction candidate for 7,9 A3: 7,9 # 13 pairs A4: 7,9,2,6 # reduction candidate for 7,9 A4: 7,9 # 13 pairs A5: 7,9,2,6 # reduction candidate for 7,9 A5: 7,9 # 12 pairs * PAIR H7: 1,9 BLK 9 H9: 1,9,7 # reduction candidate for 1,9 H9: 7 # 18 pairs H9: 1,9 # 11 pairs * PAIR H7: 1,9 ROW 7 B7: 1,9,2,4 # reduction candidate for 1,9 B7: 1,9 # 12 pairs C7: 1,9,2 # reduction candidate for 1,9 C7: 1,9 # 13 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00119141-base-pr-000.dot * REASONING * PRF # G7: 8 => SOL * CNT 1 HDP CHAINS / 21 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A9,B8,D9,E4,E5,E9,F9,G3,H7,I3) * 1..45..8945..8912....2.1.....4..8.5...51...4....5.49.23........5.8912....6....2.. * PAIR G3: 4,5 COL G G7: 4,5,8 # reduction candidate for 4,5 G7: 8 => SOLVED * 123456789456789123789231564214398657695127348837564912342675891578912436961843275 * DURATION: 0:00:00.721309 START: 19:02:35.022890 END: 19:02:35.744199 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00119141-base-pr-001.dot * REASONING * PRF # G7: 8 => SOL * STA G7: 8 * CNT 1 HDP CHAINS / 2 HYP OPENED
Header Info
rating: 30928; r2: 570232; index: 119141
Solution
position: 123456789456789123789231564214398657695127348837564912342675891578912436961843275 solved
See section 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 # G7: 4,5 => UNS * PRF # G7: 8 => SOL * INC # I7: 4,5 => UNS * INC # I9: 4,5 => UNS * INC # A4: 2,9 => UNS * INC # A4: 6,7 => UNS * INC # A5: 2,9 => UNS * INC # A5: 6,7 => UNS * INC # G8: 4,7 => UNS * INC # I8: 4,7 => UNS * INC # C9: 7,9 => UNS * INC # C9: 1 => UNS * INC # H9: 7,9 => UNS * INC # H9: 1 => UNS * INC # A3: 7,9 => UNS * INC # A4: 7,9 => UNS * INC # A5: 7,9 => UNS * INC # H9: 1,9 => UNS * INC # H9: 7 => UNS * INC # B7: 1,9 => UNS * INC # C7: 1,9 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 4,5 => UNS * PRF # G7: 8 => SOL * STA G7: 8 * CNT 2 HDP CHAINS / 2 HYP OPENED