Analysis of xx-mith-te3-00117916-base.sdk
Contents
Original Sudoku
level: hard
position: ...4.6.89......2.696.....5....9.8.65..654...2..5.62.4..3......86.92.4...71.....2. initial
Autosolve
position: ...4.6.89......2.696.....5....9.8.65..654...2..5.62.4..3......86.92.4...71.....2. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # G9: 3,4 => CTR => G9: 5,6,9 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # G9: 3,4 => CTR => G9: 5,6,9 * STA G9: 5,6,9 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...4.6.89......2.696.....5....9.8.65..654...2..5.62.4..3......86.92.4...71.....2. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:10.214861
The following important HDP chains were detected:
* DIS # A7: 5 # G4: 7 => CTR => G4: 1,3 * PRF # A7: 5 + G4: 1,3 # A5: 1,3 => SOL * STA # A7: 5 + G4: 1,3 + A5: 1,3 * CNT 2 HDP CHAINS / 41 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4.6.89......2.696.....5....9.8.65..654...2..5.62.4..3......86.92.4...71.....2. | initial |
| ...4.6.89......2.696.....5....9.8.65..654...2..5.62.4..3......86.92.4...71.....2. | autosolve |
| ...4.6.89......2.696.....5....9.8.65..654...2..5.62.4..3......86.92.4...71.....2. | pair_reduction |
| 123456789457189236968723154241978365396541872875362941532617498689234517714895623 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) C7: 2,4 B8: 5,8 C9: 4,8 I9: 3,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,E3: 2.. / E1 = 2 => 18 pairs (_) / E3 = 2 => 4 pairs (_) A7,C7: 2.. / A7 = 2 => 11 pairs (_) / C7 = 2 => 4 pairs (_) C3,E3: 2.. / C3 = 2 => 18 pairs (_) / E3 = 2 => 4 pairs (_) B1,B4: 2.. / B1 = 2 => 5 pairs (_) / B4 = 2 => 5 pairs (_) G3,I3: 4.. / G3 = 4 => 8 pairs (_) / I3 = 4 => 12 pairs (_) B2,B4: 4.. / B2 = 4 => 5 pairs (_) / B4 = 4 => 4 pairs (_) I3,I9: 4.. / I3 = 4 => 12 pairs (_) / I9 = 4 => 8 pairs (_) A7,B8: 5.. / A7 = 5 => 12 pairs (_) / B8 = 5 => 8 pairs (_) D7,D9: 6.. / D7 = 6 => 14 pairs (_) / D9 = 6 => 8 pairs (_) G7,G9: 6.. / G7 = 6 => 8 pairs (_) / G9 = 6 => 14 pairs (_) D7,G7: 6.. / D7 = 6 => 14 pairs (_) / G7 = 6 => 8 pairs (_) D9,G9: 6.. / D9 = 6 => 8 pairs (_) / G9 = 6 => 14 pairs (_) G5,G6: 8.. / G5 = 8 => 6 pairs (_) / G6 = 8 => 6 pairs (_) B8,C9: 8.. / B8 = 8 => 12 pairs (_) / C9 = 8 => 8 pairs (_) B8,E8: 8.. / B8 = 8 => 12 pairs (_) / E8 = 8 => 8 pairs (_) E2,F2: 9.. / E2 = 9 => 4 pairs (_) / F2 = 9 => 5 pairs (_) B5,B6: 9.. / B5 = 9 => 6 pairs (_) / B6 = 9 => 5 pairs (_) B6,G6: 9.. / B6 = 9 => 5 pairs (_) / G6 = 9 => 6 pairs (_) H5,H7: 9.. / H5 = 9 => 0 pairs (X) / H7 = 9 => 6 pairs (_) * DURATION: 0:00:04.557843 START: 06:30:03.862169 END: 06:30:08.420012 2025-04-05 * CP COUNT: (19) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:10.056938 START: 06:30:14.384383 END: 06:30:24.441321 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00117916-base-pr-002.dot * REASONING * DIS # A7: 5 # G4: 7 => CTR => G4: 1,3 * PRF # A7: 5 + G4: 1,3 # A5: 1,3 => SOL * STA # A7: 5 + G4: 1,3 + A5: 1,3 * CNT 2 HDP CHAINS / 41 HYP OPENED
Header Info
rating: 30393; r2: 579367; index: 117916
Solution
position: 123456789457189236968723154241978365396541872875362941532617498689234517714895623 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 # A7: 2,4 => UNS * INC # A7: 5 => UNS * INC # C4: 2,4 => UNS * INC # C4: 1,3,7 => UNS * INC # E8: 5,8 => UNS * INC # E8: 1,3,7 => UNS * INC # B2: 5,8 => UNS * INC # B2: 4,7 => UNS * INC # C2: 4,8 => UNS * INC # C2: 1,3,7 => UNS * DIS # G9: 3,4 => CTR => G9: 5,6,9 * INC # G9: 5,6,9 => UNS * INC # I3: 3,4 => UNS * INC # I3: 1,7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 2,4 => UNS * INC # A7: 5 => UNS * INC # C4: 2,4 => UNS * INC # C4: 1,3,7 => UNS * INC # E8: 5,8 => UNS * INC # E8: 1,3,7 => UNS * INC # B2: 5,8 => UNS * INC # B2: 4,7 => UNS * INC # C2: 4,8 => UNS * INC # C2: 1,3,7 => UNS * DIS # G9: 3,4 => CTR => G9: 5,6,9 * INC G9: 5,6,9 # I3: 3,4 => UNS * INC G9: 5,6,9 # I3: 1,7 => UNS * INC G9: 5,6,9 # A7: 2,4 => UNS * INC G9: 5,6,9 # A7: 5 => UNS * INC G9: 5,6,9 # C4: 2,4 => UNS * INC G9: 5,6,9 # C4: 1,3,7 => UNS * INC G9: 5,6,9 # E8: 5,8 => UNS * INC G9: 5,6,9 # E8: 1,3,7 => UNS * INC G9: 5,6,9 # B2: 5,8 => UNS * INC G9: 5,6,9 # B2: 4,7 => UNS * INC G9: 5,6,9 # C2: 4,8 => UNS * INC G9: 5,6,9 # C2: 1,3,7 => UNS * INC G9: 5,6,9 # I3: 3,4 => UNS * INC G9: 5,6,9 # I3: 1,7 => UNS * STA G9: 5,6,9 * CNT 25 HDP CHAINS / 25 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 2,4 => UNS * INC # A7: 5 => UNS * INC # C4: 2,4 => UNS * INC # C4: 1,3,7 => UNS * INC # E8: 5,8 => UNS * INC # E8: 1,3,7 => UNS * INC # B2: 5,8 => UNS * INC # B2: 4,7 => UNS * INC # C2: 4,8 => UNS * INC # C2: 1,3,7 => UNS * INC # I3: 3,4 => UNS * INC # I3: 1,7 => UNS * INC # A7: 2,4 # C1: 2,7 => UNS * INC # A7: 2,4 # C3: 2,7 => UNS * INC # A7: 2,4 # E1: 2,7 => UNS * INC # A7: 2,4 # E1: 1,3,5 => UNS * INC # A7: 2,4 # B4: 2,7 => UNS * INC # A7: 2,4 # B4: 4 => UNS * INC # A7: 2,4 # B5: 8,9 => UNS * INC # A7: 2,4 # B5: 7 => UNS * INC # A7: 2,4 # B6: 8,9 => UNS * INC # A7: 2,4 # B6: 7 => UNS * INC # A7: 2,4 # A4: 2,4 => UNS * INC # A7: 2,4 # A4: 1,3 => UNS * INC # A7: 2,4 # C4: 2,4 => UNS * INC # A7: 2,4 # C4: 1,3,7 => UNS * INC # A7: 2,4 => UNS * INC # A7: 5 # C1: 1,3 => UNS * INC # A7: 5 # C2: 1,3 => UNS * INC # A7: 5 # G1: 1,3 => UNS * INC # A7: 5 # G1: 7 => UNS * INC # A7: 5 # A5: 1,3 => UNS * INC # A7: 5 # A6: 1,3 => UNS * INC # A7: 5 # A5: 1,3 => UNS * INC # A7: 5 # A6: 1,3 => UNS * INC # A7: 5 # G4: 1,3 => UNS * DIS # A7: 5 # G4: 7 => CTR => G4: 1,3 * INC # A7: 5 + G4: 1,3 # C1: 1,3 => UNS * INC # A7: 5 + G4: 1,3 # C2: 1,3 => UNS * PRF # A7: 5 + G4: 1,3 # A5: 1,3 => SOL * STA # A7: 5 + G4: 1,3 + A5: 1,3 * CNT 40 HDP CHAINS / 41 HYP OPENED