Analysis of xx-mith-te3-00052231-base.sdk
Contents
Original Sudoku
level: hard
position: ..3......45...9...6.9..35.42..7.1.......9.42...5842...3.6.2.94.5.....6.2....6...3 initial
Autosolve
position: ..3......45...9...6.9..35.42..7.1.......9.42...5842...3.6.2.94.5.....6.2....6...3 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D1: 1,2 => CTR => D1: 4,5,6 * DIS # B4: 4,8 => CTR => B4: 3,6,9 * DIS # C9: 4,8 => CTR => C9: 1,2,7 * CNT 3 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D1: 1,2 => CTR => D1: 4,5,6 * DIS D1: 4,5,6 # B4: 4,8 => CTR => B4: 3,6,9 * STA D1: 4,5,6 + B4: 3,6,9 * CNT 2 HDP CHAINS / 43 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ..3......45...9...6.9..35.42.47.1.......9.42...5842...3.6.2.94.5.....6.2....6...3 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:04.045396
The following important HDP chains were detected:
* PRF # D2: 1,2 # C2: 7,8 => SOL * STA # D2: 1,2 + C2: 7,8 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..3......45...9...6.9..35.42..7.1.......9.42...5842...3.6.2.94.5.....6.2....6...3 | initial |
| ..3......45...9...6.9..35.42..7.1.......9.42...5842...3.6.2.94.5.....6.2....6...3 | autosolve |
| ..3......45...9...6.9..35.42.47.1.......9.42...5842...3.6.2.94.5.....6.2....6...3 | pair_reduction |
| 123456789457189236689273514264731895831695427975842361316527948598314672742968153 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) D3: 1,2 C4: 4,8 E4: 3,5 F5: 5,6 G4: 3,8 D7: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,G2: 2.. / G1 = 2 => 6 pairs (_) / G2 = 2 => 7 pairs (_) B9,C9: 2.. / B9 = 2 => 0 pairs (X) / C9 = 2 => 6 pairs (_) B3,D3: 2.. / B3 = 2 => 16 pairs (_) / D3 = 2 => 6 pairs (_) C2,C9: 2.. / C2 = 2 => 0 pairs (X) / C9 = 2 => 6 pairs (_) G2,H2: 3.. / G2 = 3 => 6 pairs (_) / H2 = 3 => 6 pairs (_) E4,D5: 3.. / E4 = 3 => 9 pairs (_) / D5 = 3 => 10 pairs (_) D8,E8: 3.. / D8 = 3 => 9 pairs (_) / E8 = 3 => 10 pairs (_) B5,D5: 3.. / B5 = 3 => 9 pairs (_) / D5 = 3 => 10 pairs (_) D5,D8: 3.. / D5 = 3 => 10 pairs (_) / D8 = 3 => 9 pairs (_) E4,E8: 3.. / E4 = 3 => 9 pairs (_) / E8 = 3 => 10 pairs (_) D1,F1: 4.. / D1 = 4 => 6 pairs (_) / F1 = 4 => 13 pairs (_) B4,C4: 4.. / B4 = 4 => 0 pairs (X) / C4 = 4 => 5 pairs (_) I7,H9: 5.. / I7 = 5 => 12 pairs (_) / H9 = 5 => 6 pairs (_) E1,E4: 5.. / E1 = 5 => 9 pairs (_) / E4 = 5 => 10 pairs (_) H4,H9: 5.. / H4 = 5 => 12 pairs (_) / H9 = 5 => 6 pairs (_) B4,B6: 6.. / B4 = 6 => 5 pairs (_) / B6 = 6 => 6 pairs (_) D5,F5: 6.. / D5 = 6 => 14 pairs (_) / F5 = 6 => 6 pairs (_) F1,F5: 6.. / F1 = 6 => 14 pairs (_) / F5 = 6 => 6 pairs (_) H1,I1: 9.. / H1 = 9 => 6 pairs (_) / I1 = 9 => 6 pairs (_) D8,D9: 9.. / D8 = 9 => 10 pairs (_) / D9 = 9 => 6 pairs (_) B8,D8: 9.. / B8 = 9 => 6 pairs (_) / D8 = 9 => 10 pairs (_) A6,A9: 9.. / A6 = 9 => 6 pairs (_) / A9 = 9 => 0 pairs (X) * DURATION: 0:00:05.257590 START: 15:43:50.388325 END: 15:43:55.645915 2025-04-04 * CP COUNT: (22) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:03.912314 START: 15:44:05.899825 END: 15:44:09.812139 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00052231-base-pr-002.dot * REASONING * PRF # D2: 1,2 # C2: 7,8 => SOL * STA # D2: 1,2 + C2: 7,8 * CNT 1 HDP CHAINS / 22 HYP OPENED
Header Info
rating: 10660; r2: 344395; index: 52231
Solution
position: 123456789457189236689273514264731895831695427975842361316527948598314672742968153 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:
* DIS # D1: 1,2 => CTR => D1: 4,5,6 * INC # D1: 4,5,6 => UNS * INC # D2: 1,2 => UNS * INC # B3: 1,2 => UNS * INC # B3: 7,8 => UNS * DIS # B4: 4,8 => CTR => B4: 3,6,9 * INC # B4: 3,6,9 => UNS * INC # C8: 4,8 => UNS * DIS # C9: 4,8 => CTR => C9: 1,2,7 * INC # C9: 1,2,7 => UNS * INC # D5: 3,5 => UNS * INC # D5: 6 => UNS * INC # H4: 3,5 => UNS * INC # H4: 6,8,9 => UNS * INC # D5: 5,6 => UNS * INC # D5: 3 => UNS * INC # F1: 5,6 => UNS * INC # F1: 4,7,8 => UNS * INC # H4: 3,8 => UNS * INC # H4: 5,6,9 => UNS * INC # B4: 3,8 => UNS * INC # B4: 4,6,9 => UNS * INC # G2: 3,8 => UNS * INC # G2: 1,2,7 => UNS * INC # D9: 1,5 => UNS * INC # D9: 4,9 => UNS * INC # I7: 1,5 => UNS * INC # I7: 7,8 => UNS * INC # D1: 1,5 => UNS * INC # D1: 2,4,6 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # D1: 1,2 => CTR => D1: 4,5,6 * INC D1: 4,5,6 # D2: 1,2 => UNS * INC D1: 4,5,6 # D2: 1,2 => UNS * INC D1: 4,5,6 # D2: 6 => UNS * INC D1: 4,5,6 # B3: 1,2 => UNS * INC D1: 4,5,6 # B3: 7,8 => UNS * DIS D1: 4,5,6 # B4: 4,8 => CTR => B4: 3,6,9 * INC D1: 4,5,6 + B4: 3,6,9 # D5: 3,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 3,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 6,8,9 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 5,6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 3 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # F1: 5,6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # F1: 4,7,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 3,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 5,6,9 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # G2: 3,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # G2: 1,2,7 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D9: 1,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D9: 4,9 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # I7: 1,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # I7: 7,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D2: 1,2 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D2: 6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # B3: 1,2 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # B3: 7,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 3,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 3,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 6,8,9 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 5,6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D5: 3 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # F1: 5,6 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # F1: 4,7,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 3,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # H4: 5,6,9 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # G2: 3,8 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # G2: 1,2,7 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D9: 1,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # D9: 4,9 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # I7: 1,5 => UNS * INC D1: 4,5,6 + B4: 3,6,9 # I7: 7,8 => UNS * STA D1: 4,5,6 + B4: 3,6,9 * CNT 43 HDP CHAINS / 43 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D2: 1,2 => UNS * INC # D2: 6 => UNS * INC # B3: 1,2 => UNS * INC # B3: 7,8 => UNS * INC # D5: 3,5 => UNS * INC # D5: 6 => UNS * INC # H4: 3,5 => UNS * INC # H4: 6,8,9 => UNS * INC # D5: 5,6 => UNS * INC # D5: 3 => UNS * INC # F1: 5,6 => UNS * INC # F1: 4,7,8 => UNS * INC # H4: 3,8 => UNS * INC # H4: 5,6,9 => UNS * INC # G2: 3,8 => UNS * INC # G2: 1,2,7 => UNS * INC # D9: 1,5 => UNS * INC # D9: 4,9 => UNS * INC # I7: 1,5 => UNS * INC # I7: 7,8 => UNS * PRF # D2: 1,2 # C2: 7,8 => SOL * STA # D2: 1,2 + C2: 7,8 * CNT 21 HDP CHAINS / 22 HYP OPENED