Analysis of xx-mith-te3-00088676-base.sdk
Contents
Original Sudoku
level: hard
position: 12...678..57...2.66.8....15...34........78..2.15962.....1....67...6......86.1.52. initial
Autosolve
position: 12...678..57...2.66.8....15...34........78..2.15962.....1....67...6......86.1.52. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:10.239487
The following important HDP chains were detected:
* PRF # A4: 2,9 # B8: 3 => SOL * STA # A4: 2,9 + B8: 3 * CNT 1 HDP CHAINS / 53 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12...678..57...2.66.8....15...34........78..2.15962.....1....67...6......86.1.52. | initial |
| 12...678..57...2.66.8....15...34........78..2.15962.....1....67...6......86.1.52. | autosolve |
| 123456789457189236698237415279341658364578192815962374541823967732695841986714523 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) D1: 4,5 C4: 2,9 F4: 1,5 D5: 1,5 D9: 4,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,F2: 1.. / D2 = 1 => 14 pairs (_) / F2 = 1 => 6 pairs (_) F4,D5: 1.. / F4 = 1 => 14 pairs (_) / D5 = 1 => 6 pairs (_) G8,I8: 1.. / G8 = 1 => 6 pairs (_) / I8 = 1 => 9 pairs (_) D5,G5: 1.. / D5 = 1 => 6 pairs (_) / G5 = 1 => 14 pairs (_) D2,D5: 1.. / D2 = 1 => 14 pairs (_) / D5 = 1 => 6 pairs (_) F2,F4: 1.. / F2 = 1 => 6 pairs (_) / F4 = 1 => 14 pairs (_) I4,I8: 1.. / I4 = 1 => 6 pairs (_) / I8 = 1 => 9 pairs (_) D3,E3: 2.. / D3 = 2 => 8 pairs (_) / E3 = 2 => 11 pairs (_) A4,C4: 2.. / A4 = 2 => 14 pairs (_) / C4 = 2 => 6 pairs (_) C4,C8: 2.. / C4 = 2 => 6 pairs (_) / C8 = 2 => 14 pairs (_) D3,D7: 2.. / D3 = 2 => 8 pairs (_) / D7 = 2 => 11 pairs (_) D1,E1: 5.. / D1 = 5 => 7 pairs (_) / E1 = 5 => 11 pairs (_) F4,D5: 5.. / F4 = 5 => 6 pairs (_) / D5 = 5 => 14 pairs (_) H4,H5: 5.. / H4 = 5 => 14 pairs (_) / H5 = 5 => 6 pairs (_) A7,A8: 5.. / A7 = 5 => 5 pairs (_) / A8 = 5 => 5 pairs (_) F4,H4: 5.. / F4 = 5 => 6 pairs (_) / H4 = 5 => 14 pairs (_) D5,H5: 5.. / D5 = 5 => 14 pairs (_) / H5 = 5 => 6 pairs (_) B4,B5: 6.. / B4 = 6 => 12 pairs (_) / B5 = 6 => 6 pairs (_) G4,G5: 6.. / G4 = 6 => 6 pairs (_) / G5 = 6 => 12 pairs (_) B4,G4: 6.. / B4 = 6 => 12 pairs (_) / G4 = 6 => 6 pairs (_) B5,G5: 6.. / B5 = 6 => 6 pairs (_) / G5 = 6 => 12 pairs (_) D3,F3: 7.. / D3 = 7 => 10 pairs (_) / F3 = 7 => 8 pairs (_) H4,H6: 7.. / H4 = 7 => 13 pairs (_) / H6 = 7 => 6 pairs (_) A6,H6: 7.. / A6 = 7 => 13 pairs (_) / H6 = 7 => 6 pairs (_) B4,B8: 7.. / B4 = 7 => 6 pairs (_) / B8 = 7 => 10 pairs (_) D3,D9: 7.. / D3 = 7 => 10 pairs (_) / D9 = 7 => 8 pairs (_) D2,E2: 8.. / D2 = 8 => 7 pairs (_) / E2 = 8 => 11 pairs (_) A4,A6: 8.. / A4 = 8 => 7 pairs (_) / A6 = 8 => 14 pairs (_) D2,D7: 8.. / D2 = 8 => 7 pairs (_) / D7 = 8 => 11 pairs (_) * DURATION: 0:00:07.524688 START: 13:38:56.710524 END: 13:39:04.235212 2025-04-06 * CP COUNT: (29) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:10.051163 START: 13:39:07.717318 END: 13:39:17.768481 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00088676-base-pr-002.dot * REASONING * PRF # A4: 2,9 # B8: 3 => SOL * STA # A4: 2,9 + B8: 3 * CNT 1 HDP CHAINS / 53 HYP OPENED
Header Info
rating: 22195; r2: 459820; index: 88676
Solution
position: 123456789457189236698237415279341658364578192815962374541823967732695841986714523 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 # D7: 4,5 => UNS * INC # D7: 2,8 => UNS * INC # A4: 2,9 => UNS * INC # A4: 7,8 => UNS * INC # C8: 2,9 => UNS * INC # C8: 3,4 => UNS * INC # F8: 4,7 => UNS * INC # F9: 4,7 => UNS * INC # A9: 4,7 => UNS * INC # A9: 3,9 => UNS * INC # D3: 4,7 => UNS * INC # D3: 2 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 4,5 => UNS * INC # D7: 2,8 => UNS * INC # A4: 2,9 => UNS * INC # A4: 7,8 => UNS * INC # C8: 2,9 => UNS * INC # C8: 3,4 => UNS * INC # F8: 4,7 => UNS * INC # F9: 4,7 => UNS * INC # A9: 4,7 => UNS * INC # A9: 3,9 => UNS * INC # D3: 4,7 => UNS * INC # D3: 2 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 4,5 => UNS * INC # D7: 2,8 => UNS * INC # A4: 2,9 => UNS * INC # A4: 7,8 => UNS * INC # C8: 2,9 => UNS * INC # C8: 3,4 => UNS * INC # F8: 4,7 => UNS * INC # F9: 4,7 => UNS * INC # A9: 4,7 => UNS * INC # A9: 3,9 => UNS * INC # D3: 4,7 => UNS * INC # D3: 2 => UNS * INC # D7: 4,5 # A2: 3,9 => UNS * INC # D7: 4,5 # B3: 3,9 => UNS * INC # D7: 4,5 # C5: 3,9 => UNS * INC # D7: 4,5 # C8: 3,9 => UNS * INC # D7: 4,5 # A2: 3,9 => UNS * INC # D7: 4,5 # H2: 3,9 => UNS * INC # D7: 4,5 # B3: 3,9 => UNS * INC # D7: 4,5 # G3: 3,9 => UNS * INC # D7: 4,5 # H2: 3,9 => UNS * INC # D7: 4,5 # G3: 3,9 => UNS * INC # D7: 4,5 # I9: 3,9 => UNS * INC # D7: 4,5 # I9: 4 => UNS * INC # D7: 4,5 # B5: 6,9 => UNS * INC # D7: 4,5 # B5: 3,4 => UNS * INC # D7: 4,5 # G4: 6,9 => UNS * INC # D7: 4,5 # G4: 1,8 => UNS * INC # D7: 4,5 # G4: 6,9 => UNS * INC # D7: 4,5 # G4: 1,8 => UNS * INC # D7: 4,5 # B5: 6,9 => UNS * INC # D7: 4,5 # B5: 3,4 => UNS * INC # D7: 4,5 # G4: 1,8 => UNS * INC # D7: 4,5 # G4: 6,9 => UNS * INC # D7: 4,5 # I4: 1,8 => UNS * INC # D7: 4,5 # I4: 9 => UNS * INC # D7: 4,5 => UNS * INC # D7: 2,8 # A4: 2,9 => UNS * INC # D7: 2,8 # A4: 7,8 => UNS * INC # D7: 2,8 # C8: 2,9 => UNS * INC # D7: 2,8 # C8: 3,4 => UNS * INC # D7: 2,8 # E7: 2,8 => UNS * INC # D7: 2,8 # E8: 2,8 => UNS * INC # D7: 2,8 # F8: 4,7 => UNS * INC # D7: 2,8 # F9: 4,7 => UNS * INC # D7: 2,8 # A9: 4,7 => UNS * INC # D7: 2,8 # A9: 3,9 => UNS * INC # D7: 2,8 # D3: 4,7 => UNS * INC # D7: 2,8 # D3: 2 => UNS * INC # D7: 2,8 => UNS * INC # A4: 2,9 # B8: 4,9 => UNS * PRF # A4: 2,9 # B8: 3 => SOL * STA # A4: 2,9 + B8: 3 * CNT 52 HDP CHAINS / 53 HYP OPENED