Analysis of xx-mith-te3-00029517-base.sdk
Contents
Original Sudoku
level: hard
position: ...45..8.......2.689....154.........5..9.43..7..53....37.8.5.4...879....9...43.7. initial
Autosolve
position: ...45..8.......2.689....154.........5..9.43..7..53....37.8.5.4...879....9...43.7. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B2: 1,4 => CTR => B2: 3,5 * DIS # C2: 1,4 => CTR => C2: 3,5,7 * DIS # B2: 1,3 => CTR => B2: 4,5 * DIS # B8: 5,6 => CTR => B8: 1,2,4 * CNT 4 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B2: 1,4 => CTR => B2: 3,5 * DIS B2: 3,5 # C2: 1,4 => CTR => C2: 3,5,7 * STA B2: 3,5 + C2: 3,5,7 * CNT 2 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...45..8.45....2.689....154.3.......5..9.43..7..53....37.8.5.4..4879....9.5.43.7. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:09.417353
The following important HDP chains were detected:
* PRF # C3: 2,6 # F3: 2,6 => SOL * STA # C3: 2,6 + F3: 2,6 * CNT 1 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...45..8.......2.689....154.........5..9.43..7..53....37.8.5.4...879....9...43.7. | initial |
| ...45..8.......2.689....154.........5..9.43..7..53....37.8.5.4...879....9...43.7. | autosolve |
| ...45..8.45....2.689....154.3.......5..9.43..7..53....37.8.5.4..4879....9.5.43.7. | pair_reduction |
| 123456789457189236896372154234617895581924367769538412372865941648791523915243678 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) A2: 1,4 D2: 1,3 G1: 7,9 H2: 3,9 G7: 6,9 G8: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 3.. / D2 = 3 => 12 pairs (_) / D3 = 3 => 11 pairs (_) I1,H2: 3.. / I1 = 3 => 12 pairs (_) / H2 = 3 => 10 pairs (_) B4,C4: 3.. / B4 = 3 => 6 pairs (_) / C4 = 3 => 0 pairs (X) H8,I8: 3.. / H8 = 3 => 12 pairs (_) / I8 = 3 => 10 pairs (_) C3,D3: 3.. / C3 = 3 => 12 pairs (_) / D3 = 3 => 11 pairs (_) H2,H8: 3.. / H2 = 3 => 10 pairs (_) / H8 = 3 => 12 pairs (_) I1,I8: 3.. / I1 = 3 => 12 pairs (_) / I8 = 3 => 10 pairs (_) G4,G6: 4.. / G4 = 4 => 6 pairs (_) / G6 = 4 => 6 pairs (_) A8,B8: 4.. / A8 = 4 => 0 pairs (X) / B8 = 4 => 7 pairs (_) B2,C2: 5.. / B2 = 5 => 7 pairs (_) / C2 = 5 => 0 pairs (X) G4,I4: 5.. / G4 = 5 => 6 pairs (_) / I4 = 5 => 6 pairs (_) C2,C9: 5.. / C2 = 5 => 0 pairs (X) / C9 = 5 => 7 pairs (_) C2,C3: 7.. / C2 = 7 => 9 pairs (_) / C3 = 7 => 15 pairs (_) G1,I1: 7.. / G1 = 7 => 6 pairs (_) / I1 = 7 => 9 pairs (_) E5,I5: 7.. / E5 = 7 => 10 pairs (_) / I5 = 7 => 6 pairs (_) G1,G4: 7.. / G1 = 7 => 6 pairs (_) / G4 = 7 => 9 pairs (_) E2,F2: 8.. / E2 = 8 => 6 pairs (_) / F2 = 8 => 12 pairs (_) G9,I9: 8.. / G9 = 8 => 6 pairs (_) / I9 = 8 => 9 pairs (_) F1,F2: 9.. / F1 = 9 => 12 pairs (_) / F2 = 9 => 10 pairs (_) C4,C6: 9.. / C4 = 9 => 6 pairs (_) / C6 = 9 => 6 pairs (_) G7,I7: 9.. / G7 = 9 => 6 pairs (_) / I7 = 9 => 9 pairs (_) F2,H2: 9.. / F2 = 9 => 10 pairs (_) / H2 = 9 => 12 pairs (_) * DURATION: 0:00:05.581422 START: 06:50:47.315738 END: 06:50:52.897160 2025-04-06 * CP COUNT: (22) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:09.254246 START: 06:51:02.215395 END: 06:51:11.469641 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00029517-base-pr-002.dot * REASONING * PRF # C3: 2,6 # F3: 2,6 => SOL * STA # C3: 2,6 + F3: 2,6 * CNT 1 HDP CHAINS / 36 HYP OPENED
Header Info
rating: 6003; r2: 150753; index: 29517
Solution
position: 123456789457189236896372154234617895581924367769538412372865941648791523915243678 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 # B2: 1,4 => CTR => B2: 3,5 * INC # B2: 3,5 => UNS * DIS # C2: 1,4 => CTR => C2: 3,5,7 * INC # C2: 3,5,7 => UNS * INC # A4: 1,4 => UNS * INC # A8: 1,4 => UNS * DIS # B2: 1,3 => CTR => B2: 4,5 * INC # B2: 4,5 => UNS * INC # C2: 1,3 => UNS * INC # I1: 7,9 => UNS * INC # I1: 3 => UNS * INC # G4: 7,9 => UNS * INC # G4: 4,5,6,8 => UNS * INC # I1: 3,9 => UNS * INC # I1: 7 => UNS * INC # G4: 6,9 => UNS * INC # G6: 6,9 => UNS * INC # G9: 5,6 => UNS * INC # G9: 8 => UNS * DIS # B8: 5,6 => CTR => B8: 1,2,4 * INC # B8: 1,2,4 => UNS * INC # G4: 5,6 => UNS * INC # G4: 4,7,8,9 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # B2: 1,4 => CTR => B2: 3,5 * DIS B2: 3,5 # C2: 1,4 => CTR => C2: 3,5,7 * INC B2: 3,5 + C2: 3,5,7 # I1: 7,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 3 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 7,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 4,5,6,8 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 3,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 7 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 6,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G6: 6,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 5,6 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 4,7,8,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # C3: 3,7 => UNS * INC B2: 3,5 + C2: 3,5,7 # C3: 2,6 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 7,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 3 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 7,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 4,5,6,8 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 3,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # I1: 7 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 4,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 5,6,7,8 => UNS * INC B2: 3,5 + C2: 3,5,7 # G6: 4,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G6: 6,8 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 6,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G6: 6,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 5,6 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 4,7,8,9 => UNS * INC B2: 3,5 + C2: 3,5,7 # G4: 6,8 => UNS * INC B2: 3,5 + C2: 3,5,7 # G6: 6,8 => UNS * STA B2: 3,5 + C2: 3,5,7 * CNT 30 HDP CHAINS / 30 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C3: 3,7 => UNS * INC # C3: 2,6 => UNS * INC # I1: 7,9 => UNS * INC # I1: 3 => UNS * INC # G4: 7,9 => UNS * INC # G4: 4,5,6,8 => UNS * INC # I1: 3,9 => UNS * INC # I1: 7 => UNS * INC # G4: 4,9 => UNS * INC # G4: 5,6,7,8 => UNS * INC # G6: 4,9 => UNS * INC # G6: 6,8 => UNS * INC # G4: 6,9 => UNS * INC # G6: 6,9 => UNS * INC # G4: 5,6 => UNS * INC # G4: 4,7,8,9 => UNS * INC # G4: 6,8 => UNS * INC # G6: 6,8 => UNS * INC # C3: 3,7 # G4: 4,9 => UNS * INC # C3: 3,7 # G4: 5 => UNS * INC # C3: 3,7 # G6: 4,9 => UNS * INC # C3: 3,7 # G6: 8 => UNS * INC # C3: 3,7 # E2: 7,8 => UNS * INC # C3: 3,7 # E2: 1 => UNS * INC # C3: 3,7 # F2: 7,8 => UNS * INC # C3: 3,7 # F2: 1 => UNS * INC # C3: 3,7 # G4: 5,9 => UNS * INC # C3: 3,7 # G4: 4 => UNS * INC # C3: 3,7 # G6: 8,9 => UNS * INC # C3: 3,7 # G6: 4 => UNS * INC # C3: 3,7 => UNS * INC # C3: 2,6 # A1: 2,6 => UNS * INC # C3: 2,6 # B1: 2,6 => UNS * INC # C3: 2,6 # E3: 2,6 => UNS * PRF # C3: 2,6 # F3: 2,6 => SOL * STA # C3: 2,6 + F3: 2,6 * CNT 35 HDP CHAINS / 36 HYP OPENED