Analysis of xx-mith-te3-00045836-base.sdk
Contents
Original Sudoku
level: hard
position: .234..78.4.67...3278.2..6.4...39....63.872........5.2.36..2.87...7...2.......7.4. initial
Autosolve
position: .234..78.4.67...3278.2..6.4...39..6.63.872........532.36..2.87...7...2.......7.4. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # E9: 8 => CTR => E9: 3,6 * CNT 1 HDP CHAINS / 13 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # E9: 8 => CTR => E9: 3,6 * STA E9: 3,6 * CNT 1 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .234..78.4.67...3278.2..6.4...39..6.63.872........532.36..2.87...7...2.......7.4. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:12.851103
The following important HDP chains were detected:
* DIS # B4: 1,4 # B2: 1,9 => CTR => B2: 5 * DIS # B4: 1,4 + B2: 5 # C6: 1,9 => CTR => C6: 4 * DIS # B4: 1,4 + B2: 5 + C6: 4 => CTR => B4: 5,7 * DIS B4: 5,7 # C4: 1,4 # H3: 1,9 => CTR => H3: 5 * PRF B4: 5,7 # C4: 1,4 + H3: 5 # C7: 4 => SOL * STA B4: 5,7 # C4: 1,4 + H3: 5 + C7: 4 * CNT 5 HDP CHAINS / 43 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .234..78.4.67...3278.2..6.4...39....63.872........5.2.36..2.87...7...2.......7.4. | initial |
| .234..78.4.67...3278.2..6.4...39..6.63.872........532.36..2.87...7...2.......7.4. | autosolve |
| .234..78.4.67...3278.2..6.4...39..6.63.872........532.36..2.87...7...2.......7.4. | pair_reduction |
| 123456789456789132789213654271394568635872491948165327364921875597648213812537946 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) F1: 6,9 F2: 8,9 F3: 3,9 F4: 1,4 D6: 1,6 E6: 4,6 I4: 7,8 I6: 7,8 F7: 1,4 I8: 3,6 I9: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,D6: 1.. / F4 = 1 => 13 pairs (_) / D6 = 1 => 13 pairs (_) F4,F7: 1.. / F4 = 1 => 13 pairs (_) / F7 = 1 => 13 pairs (_) A4,C4: 2.. / A4 = 2 => 12 pairs (_) / C4 = 2 => 11 pairs (_) A9,C9: 2.. / A9 = 2 => 11 pairs (_) / C9 = 2 => 12 pairs (_) A4,A9: 2.. / A4 = 2 => 12 pairs (_) / A9 = 2 => 11 pairs (_) C4,C9: 2.. / C4 = 2 => 11 pairs (_) / C9 = 2 => 12 pairs (_) E3,F3: 3.. / E3 = 3 => 12 pairs (_) / F3 = 3 => 12 pairs (_) I8,I9: 3.. / I8 = 3 => 12 pairs (_) / I9 = 3 => 11 pairs (_) E9,I9: 3.. / E9 = 3 => 12 pairs (_) / I9 = 3 => 11 pairs (_) F3,F8: 3.. / F3 = 3 => 12 pairs (_) / F8 = 3 => 12 pairs (_) F4,E6: 4.. / F4 = 4 => 13 pairs (_) / E6 = 4 => 13 pairs (_) G4,G5: 4.. / G4 = 4 => 11 pairs (_) / G5 = 4 => 13 pairs (_) C7,B8: 4.. / C7 = 4 => 13 pairs (_) / B8 = 4 => 13 pairs (_) F7,E8: 4.. / F7 = 4 => 13 pairs (_) / E8 = 4 => 13 pairs (_) C5,G5: 4.. / C5 = 4 => 11 pairs (_) / G5 = 4 => 13 pairs (_) C7,F7: 4.. / C7 = 4 => 13 pairs (_) / F7 = 4 => 13 pairs (_) B8,E8: 4.. / B8 = 4 => 13 pairs (_) / E8 = 4 => 13 pairs (_) E6,E8: 4.. / E6 = 4 => 13 pairs (_) / E8 = 4 => 13 pairs (_) F4,F7: 4.. / F4 = 4 => 13 pairs (_) / F7 = 4 => 13 pairs (_) E1,F1: 6.. / E1 = 6 => 11 pairs (_) / F1 = 6 => 12 pairs (_) D6,E6: 6.. / D6 = 6 => 13 pairs (_) / E6 = 6 => 13 pairs (_) I8,I9: 6.. / I8 = 6 => 11 pairs (_) / I9 = 6 => 12 pairs (_) F1,F8: 6.. / F1 = 6 => 12 pairs (_) / F8 = 6 => 11 pairs (_) B4,B6: 7.. / B4 = 7 => 9 pairs (_) / B6 = 7 => 13 pairs (_) I4,I6: 7.. / I4 = 7 => 13 pairs (_) / I6 = 7 => 9 pairs (_) B4,I4: 7.. / B4 = 7 => 9 pairs (_) / I4 = 7 => 13 pairs (_) B6,I6: 7.. / B6 = 7 => 13 pairs (_) / I6 = 7 => 9 pairs (_) E2,F2: 8.. / E2 = 8 => 15 pairs (_) / F2 = 8 => 13 pairs (_) I4,I6: 8.. / I4 = 8 => 9 pairs (_) / I6 = 8 => 13 pairs (_) F2,F8: 8.. / F2 = 8 => 13 pairs (_) / F8 = 8 => 15 pairs (_) * DURATION: 0:00:11.321537 START: 08:18:23.487596 END: 08:18:34.809133 2025-04-06 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:12.723394 START: 08:18:44.744802 END: 08:18:57.468196 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00045836-base-pr-002.dot * REASONING * DIS # B4: 1,4 # B2: 1,9 => CTR => B2: 5 * DIS # B4: 1,4 + B2: 5 # C6: 1,9 => CTR => C6: 4 * DIS # B4: 1,4 + B2: 5 + C6: 4 => CTR => B4: 5,7 * DIS B4: 5,7 # C4: 1,4 # H3: 1,9 => CTR => H3: 5 * PRF B4: 5,7 # C4: 1,4 + H3: 5 # C7: 4 => SOL * STA B4: 5,7 # C4: 1,4 + H3: 5 + C7: 4 * CNT 5 HDP CHAINS / 43 HYP OPENED
Header Info
rating: 9541; r2: 232948; index: 45836
Solution
position: 123456789456789132789213654271394568635872491948165327364921875597648213812537946 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 # B4: 1,4 => UNS * INC # C4: 1,4 => UNS * INC # G4: 1,4 => UNS * INC # D8: 1,6 => UNS * INC # D9: 1,6 => UNS * INC # E8: 4,6 => UNS * INC # E8: 3,8 => UNS * INC # C7: 1,4 => UNS * INC # C7: 5,9 => UNS * INC # E8: 3,6 => UNS * INC # F8: 3,6 => UNS * INC # E9: 3,6 => UNS * DIS # E9: 8 => CTR => E9: 3,6 * CNT 13 HDP CHAINS / 13 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 1,4 => UNS * INC # C4: 1,4 => UNS * INC # G4: 1,4 => UNS * INC # D8: 1,6 => UNS * INC # D9: 1,6 => UNS * INC # E8: 4,6 => UNS * INC # E8: 3,8 => UNS * INC # C7: 1,4 => UNS * INC # C7: 5,9 => UNS * INC # E8: 3,6 => UNS * INC # F8: 3,6 => UNS * INC # E9: 3,6 => UNS * DIS # E9: 8 => CTR => E9: 3,6 * INC E9: 3,6 # B4: 1,4 => UNS * INC E9: 3,6 # C4: 1,4 => UNS * INC E9: 3,6 # G4: 1,4 => UNS * INC E9: 3,6 # D8: 1,6 => UNS * INC E9: 3,6 # D8: 5,9 => UNS * INC E9: 3,6 # E8: 4,6 => UNS * INC E9: 3,6 # E8: 3,8 => UNS * INC E9: 3,6 # A4: 2,8 => UNS * INC E9: 3,6 # A4: 1,5 => UNS * INC E9: 3,6 # C4: 2,8 => UNS * INC E9: 3,6 # C4: 1,4,5 => UNS * INC E9: 3,6 # C7: 1,4 => UNS * INC E9: 3,6 # C7: 5,9 => UNS * INC E9: 3,6 # E8: 3,6 => UNS * INC E9: 3,6 # F8: 3,6 => UNS * INC E9: 3,6 # E8: 3,6 => UNS * INC E9: 3,6 # F8: 3,6 => UNS * STA E9: 3,6 * CNT 30 HDP CHAINS / 30 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 1,4 => UNS * INC # C4: 1,4 => UNS * INC # G4: 1,4 => UNS * INC # D8: 1,6 => UNS * INC # D8: 5,9 => UNS * INC # E8: 4,6 => UNS * INC # E8: 3,8 => UNS * INC # A4: 2,8 => UNS * INC # A4: 1,5 => UNS * INC # C4: 2,8 => UNS * INC # C4: 1,4,5 => UNS * INC # C7: 1,4 => UNS * INC # C7: 5,9 => UNS * INC # E8: 3,6 => UNS * INC # F8: 3,6 => UNS * INC # E8: 3,6 => UNS * INC # F8: 3,6 => UNS * INC # B4: 1,4 # A1: 1,9 => UNS * DIS # B4: 1,4 # B2: 1,9 => CTR => B2: 5 * DIS # B4: 1,4 + B2: 5 # C6: 1,9 => CTR => C6: 4 * DIS # B4: 1,4 + B2: 5 + C6: 4 => CTR => B4: 5,7 * INC B4: 5,7 # C4: 1,4 => UNS * INC B4: 5,7 # G4: 1,4 => UNS * INC B4: 5,7 # D8: 1,6 => UNS * INC B4: 5,7 # D8: 5,9 => UNS * INC B4: 5,7 # E8: 4,6 => UNS * INC B4: 5,7 # E8: 3,8 => UNS * INC B4: 5,7 # A4: 2,8 => UNS * INC B4: 5,7 # A4: 1,5 => UNS * INC B4: 5,7 # C4: 2,8 => UNS * INC B4: 5,7 # C4: 1,4,5 => UNS * INC B4: 5,7 # C7: 1,4 => UNS * INC B4: 5,7 # C7: 5,9 => UNS * INC B4: 5,7 # E8: 3,6 => UNS * INC B4: 5,7 # F8: 3,6 => UNS * INC B4: 5,7 # E8: 3,6 => UNS * INC B4: 5,7 # F8: 3,6 => UNS * INC B4: 5,7 # C4: 1,4 # A1: 1,9 => UNS * INC B4: 5,7 # C4: 1,4 # B2: 1,9 => UNS * DIS B4: 5,7 # C4: 1,4 # H3: 1,9 => CTR => H3: 5 * INC B4: 5,7 # C4: 1,4 + H3: 5 # C7: 1,9 => UNS * PRF B4: 5,7 # C4: 1,4 + H3: 5 # C7: 4 => SOL * STA B4: 5,7 # C4: 1,4 + H3: 5 + C7: 4 * CNT 42 HDP CHAINS / 43 HYP OPENED