Analysis of xx-mith-te3-00151676-base.sdk
Contents
Original Sudoku
level: hard
position: 12........57...2.6....72.152.58....7.8.2...5..61....2851.6.........945.....5.38.. initial
Autosolve
position: 12....78..57...2.6....72.152.58....7.8.2...5..61....2851.6.........945.....5.38.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I9: 4,9 => CTR => I9: 1,2 * CNT 1 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # I9: 4,9 => CTR => I9: 1,2 * STA I9: 1,2 * CNT 1 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 12....78..57...2.6....72.152.58....7.8.2...5..61....2851.6.........945.....5.38.. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:11.397050
The following important HDP chains were detected:
* DIS # A8: 6,8 # A5: 4,9 => CTR => A5: 3,7 * PRF # A8: 6,8 + A5: 3,7 # C7: 4,9 => SOL * STA # A8: 6,8 + A5: 3,7 + C7: 4,9 * CNT 2 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12........57...2.6....72.152.58....7.8.2...5..61....2851.6.........945.....5.38.. | initial |
| 12....78..57...2.6....72.152.58....7.8.2...5..61....2851.6.........945.....5.38.. | autosolve |
| 12....78..57...2.6....72.152.58....7.8.2...5..61....2851.6.........945.....5.38.. | pair_reduction |
| 123456789457189236698372415245831697389267154761945328514628973832794561976513842 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) A3: 6,8 C3: 6,8 E1: 5,6 F1: 5,6 G4: 1,6 G5: 1,6 B8: 3,7 E7: 2,8 F7: 7,8 D8: 1,7 E9: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,G5: 1.. / G4 = 1 => 10 pairs (_) / G5 = 1 => 10 pairs (_) D8,E9: 1.. / D8 = 1 => 12 pairs (_) / E9 = 1 => 17 pairs (_) I8,I9: 1.. / I8 = 1 => 17 pairs (_) / I9 = 1 => 12 pairs (_) D8,I8: 1.. / D8 = 1 => 12 pairs (_) / I8 = 1 => 17 pairs (_) E9,I9: 1.. / E9 = 1 => 17 pairs (_) / I9 = 1 => 12 pairs (_) D2,D8: 1.. / D2 = 1 => 17 pairs (_) / D8 = 1 => 12 pairs (_) E7,E9: 2.. / E7 = 2 => 17 pairs (_) / E9 = 2 => 12 pairs (_) C8,I8: 2.. / C8 = 2 => 12 pairs (_) / I8 = 2 => 10 pairs (_) E1,F1: 5.. / E1 = 5 => 11 pairs (_) / F1 = 5 => 10 pairs (_) E6,F6: 5.. / E6 = 5 => 10 pairs (_) / F6 = 5 => 11 pairs (_) E1,E6: 5.. / E1 = 5 => 11 pairs (_) / E6 = 5 => 10 pairs (_) F1,F6: 5.. / F1 = 5 => 10 pairs (_) / F6 = 5 => 11 pairs (_) A3,C3: 6.. / A3 = 6 => 10 pairs (_) / C3 = 6 => 10 pairs (_) E1,F1: 6.. / E1 = 6 => 10 pairs (_) / F1 = 6 => 11 pairs (_) G4,G5: 6.. / G4 = 6 => 10 pairs (_) / G5 = 6 => 10 pairs (_) H8,H9: 6.. / H8 = 6 => 12 pairs (_) / H9 = 6 => 13 pairs (_) A5,A6: 7.. / A5 = 7 => 11 pairs (_) / A6 = 7 => 13 pairs (_) B8,B9: 7.. / B8 = 7 => 11 pairs (_) / B9 = 7 => 16 pairs (_) F7,D8: 7.. / F7 = 7 => 12 pairs (_) / D8 = 7 => 17 pairs (_) A5,F5: 7.. / A5 = 7 => 11 pairs (_) / F5 = 7 => 13 pairs (_) F7,H7: 7.. / F7 = 7 => 12 pairs (_) / H7 = 7 => 17 pairs (_) B9,H9: 7.. / B9 = 7 => 16 pairs (_) / H9 = 7 => 11 pairs (_) D6,D8: 7.. / D6 = 7 => 12 pairs (_) / D8 = 7 => 17 pairs (_) A3,C3: 8.. / A3 = 8 => 10 pairs (_) / C3 = 8 => 10 pairs (_) E2,F2: 8.. / E2 = 8 => 17 pairs (_) / F2 = 8 => 12 pairs (_) A8,C8: 8.. / A8 = 8 => 10 pairs (_) / C8 = 8 => 10 pairs (_) E7,F7: 8.. / E7 = 8 => 12 pairs (_) / F7 = 8 => 17 pairs (_) A3,A8: 8.. / A3 = 8 => 10 pairs (_) / A8 = 8 => 10 pairs (_) C3,C8: 8.. / C3 = 8 => 10 pairs (_) / C8 = 8 => 10 pairs (_) E2,E7: 8.. / E2 = 8 => 17 pairs (_) / E7 = 8 => 12 pairs (_) F2,F7: 8.. / F2 = 8 => 12 pairs (_) / F7 = 8 => 17 pairs (_) * DURATION: 0:00:12.094003 START: 22:42:31.576538 END: 22:42:43.670541 2025-04-06 * CP COUNT: (31) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:11.261618 START: 22:42:51.860506 END: 22:43:03.122124 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00151676-base-pr-002.dot * REASONING * DIS # A8: 6,8 # A5: 4,9 => CTR => A5: 3,7 * PRF # A8: 6,8 + A5: 3,7 # C7: 4,9 => SOL * STA # A8: 6,8 + A5: 3,7 + C7: 4,9 * CNT 2 HDP CHAINS / 32 HYP OPENED
Header Info
rating: 41346; r2: 748742; index: 151676
Solution
position: 123456789457189236698372415245831697389267154761945328514628973832794561976513842 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 # A8: 6,8 => UNS * INC # A8: 3 => UNS * INC # C8: 6,8 => UNS * INC # C8: 2,3 => UNS * INC # E4: 1,6 => UNS * INC # F4: 1,6 => UNS * INC # E5: 1,6 => UNS * INC # F5: 1,6 => UNS * INC # H8: 3,7 => UNS * INC # H8: 6 => UNS * INC # I9: 1,2 => UNS * DIS # I9: 4,9 => CTR => I9: 1,2 * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A8: 6,8 => UNS * INC # A8: 3 => UNS * INC # C8: 6,8 => UNS * INC # C8: 2,3 => UNS * INC # E4: 1,6 => UNS * INC # F4: 1,6 => UNS * INC # E5: 1,6 => UNS * INC # F5: 1,6 => UNS * INC # H8: 3,7 => UNS * INC # H8: 6 => UNS * INC # I9: 1,2 => UNS * DIS # I9: 4,9 => CTR => I9: 1,2 * INC I9: 1,2 # A8: 6,8 => UNS * INC I9: 1,2 # A8: 3 => UNS * INC I9: 1,2 # C8: 6,8 => UNS * INC I9: 1,2 # C8: 2,3 => UNS * INC I9: 1,2 # E4: 1,6 => UNS * INC I9: 1,2 # F4: 1,6 => UNS * INC I9: 1,2 # E5: 1,6 => UNS * INC I9: 1,2 # F5: 1,6 => UNS * INC I9: 1,2 # H8: 3,7 => UNS * INC I9: 1,2 # H8: 6 => UNS * INC I9: 1,2 # I8: 1,2 => UNS * INC I9: 1,2 # I8: 3 => UNS * STA I9: 1,2 * CNT 24 HDP CHAINS / 24 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A8: 6,8 => UNS * INC # A8: 3 => UNS * INC # C8: 6,8 => UNS * INC # C8: 2,3 => UNS * INC # E4: 1,6 => UNS * INC # F4: 1,6 => UNS * INC # E5: 1,6 => UNS * INC # F5: 1,6 => UNS * INC # H8: 3,7 => UNS * INC # H8: 6 => UNS * INC # I8: 1,2 => UNS * INC # I8: 3 => UNS * INC # A8: 6,8 # C8: 6,8 => UNS * INC # A8: 6,8 # C8: 2,3 => UNS * INC # A8: 6,8 # E4: 1,6 => UNS * INC # A8: 6,8 # F4: 1,6 => UNS * INC # A8: 6,8 # E5: 1,6 => UNS * INC # A8: 6,8 # F5: 1,6 => UNS * INC # A8: 6,8 # C8: 6,8 => UNS * INC # A8: 6,8 # C8: 2,3 => UNS * INC # A8: 6,8 # H8: 3,7 => UNS * INC # A8: 6,8 # H8: 6 => UNS * INC # A8: 6,8 # C7: 4,9 => UNS * INC # A8: 6,8 # B9: 4,9 => UNS * INC # A8: 6,8 # C9: 4,9 => UNS * INC # A8: 6,8 # H9: 4,9 => UNS * INC # A8: 6,8 # H9: 6,7 => UNS * INC # A8: 6,8 # A2: 4,9 => UNS * DIS # A8: 6,8 # A5: 4,9 => CTR => A5: 3,7 * INC # A8: 6,8 + A5: 3,7 # A6: 4,9 => UNS * PRF # A8: 6,8 + A5: 3,7 # C7: 4,9 => SOL * STA # A8: 6,8 + A5: 3,7 + C7: 4,9 * CNT 31 HDP CHAINS / 32 HYP OPENED