Analysis of xx-mith-te3-00056801-base.sdk
Contents
Original Sudoku
level: hard
position: ...45.789...18.2....8.......35.14........84.....63....38..41.6.5.1.6..4..46....1. initial
Autosolve
position: ...45.789...18.2....8.......35.14......5.84.38.463....38..41.6.5.1.6..4..46..5.1. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:16.278724
The following important HDP chains were detected:
* PRF # I3: 4,6 # D8: 2,7 => SOL * STA # I3: 4,6 + D8: 2,7 * CNT 1 HDP CHAINS / 52 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...45.789...18.2....8.......35.14........84.....63....38..41.6.5.1.6..4..46....1. | initial |
| ...45.789...18.2....8.......35.14......5.84.38.463....38..41.6.5.1.6..4..46..5.1. | autosolve |
| 123456789457189236968327154235914678619578423874632591382741965591263847746895312 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (12) C1: 2,3 H2: 3,5 I2: 4,6 G3: 1,6 H3: 3,5 A5: 1,6 B5: 1,6 G4: 6,8 I4: 6,8 G6: 1,5 I6: 1,5 G7: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 1.. / A1 = 1 => 11 pairs (_) / B1 = 1 => 11 pairs (_) G3,I3: 1.. / G3 = 1 => 14 pairs (_) / I3 = 1 => 8 pairs (_) A5,B5: 1.. / A5 = 1 => 11 pairs (_) / B5 = 1 => 11 pairs (_) G6,I6: 1.. / G6 = 1 => 8 pairs (_) / I6 = 1 => 14 pairs (_) A1,A5: 1.. / A1 = 1 => 11 pairs (_) / A5 = 1 => 11 pairs (_) B1,B5: 1.. / B1 = 1 => 11 pairs (_) / B5 = 1 => 11 pairs (_) G3,G6: 1.. / G3 = 1 => 14 pairs (_) / G6 = 1 => 8 pairs (_) I3,I6: 1.. / I3 = 1 => 8 pairs (_) / I6 = 1 => 14 pairs (_) C1,C2: 3.. / C1 = 3 => 13 pairs (_) / C2 = 3 => 16 pairs (_) H2,H3: 3.. / H2 = 3 => 11 pairs (_) / H3 = 3 => 12 pairs (_) G8,G9: 3.. / G8 = 3 => 14 pairs (_) / G9 = 3 => 13 pairs (_) C1,F1: 3.. / C1 = 3 => 13 pairs (_) / F1 = 3 => 16 pairs (_) D9,G9: 3.. / D9 = 3 => 14 pairs (_) / G9 = 3 => 13 pairs (_) A2,A3: 4.. / A2 = 4 => 12 pairs (_) / A3 = 4 => 12 pairs (_) I2,I3: 4.. / I2 = 4 => 12 pairs (_) / I3 = 4 => 12 pairs (_) A2,I2: 4.. / A2 = 4 => 12 pairs (_) / I2 = 4 => 12 pairs (_) A3,I3: 4.. / A3 = 4 => 12 pairs (_) / I3 = 4 => 12 pairs (_) B2,B3: 5.. / B2 = 5 => 11 pairs (_) / B3 = 5 => 12 pairs (_) H2,H3: 5.. / H2 = 5 => 12 pairs (_) / H3 = 5 => 11 pairs (_) G6,I6: 5.. / G6 = 5 => 14 pairs (_) / I6 = 5 => 8 pairs (_) G7,I7: 5.. / G7 = 5 => 8 pairs (_) / I7 = 5 => 14 pairs (_) B2,H2: 5.. / B2 = 5 => 11 pairs (_) / H2 = 5 => 12 pairs (_) B3,H3: 5.. / B3 = 5 => 12 pairs (_) / H3 = 5 => 11 pairs (_) G6,G7: 5.. / G6 = 5 => 14 pairs (_) / G7 = 5 => 8 pairs (_) I6,I7: 5.. / I6 = 5 => 8 pairs (_) / I7 = 5 => 14 pairs (_) A5,B5: 6.. / A5 = 6 => 11 pairs (_) / B5 = 6 => 11 pairs (_) G4,I4: 6.. / G4 = 6 => 14 pairs (_) / I4 = 6 => 8 pairs (_) G3,G4: 6.. / G3 = 6 => 8 pairs (_) / G4 = 6 => 14 pairs (_) G4,I4: 8.. / G4 = 8 => 8 pairs (_) / I4 = 8 => 14 pairs (_) D8,D9: 8.. / D8 = 8 => 14 pairs (_) / D9 = 8 => 14 pairs (_) * DURATION: 0:00:12.151950 START: 09:19:11.785948 END: 09:19:23.937898 2025-04-06 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:16.079108 START: 09:19:29.483965 END: 09:19:45.563073 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00056801-base-pr-002.dot * REASONING * PRF # I3: 4,6 # D8: 2,7 => SOL * STA # I3: 4,6 + D8: 2,7 * CNT 1 HDP CHAINS / 52 HYP OPENED
Header Info
rating: 11727; r2: 291242; index: 56801
Solution
position: 123456789457189236968327154235914678619578423874632591382741965591263847746895312 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 # F1: 2,3 => UNS * INC # F1: 6 => UNS * INC # I3: 4,6 => UNS * INC # I3: 1 => UNS * INC # A2: 4,6 => UNS * INC # A2: 7,9 => UNS * INC # I3: 1,6 => UNS * INC # I3: 4 => UNS * INC # A1: 1,6 => UNS * INC # A1: 2 => UNS * INC # B1: 1,6 => UNS * INC # B1: 2 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 2,3 => UNS * INC # F1: 6 => UNS * INC # I3: 4,6 => UNS * INC # I3: 1 => UNS * INC # A2: 4,6 => UNS * INC # A2: 7,9 => UNS * INC # I3: 1,6 => UNS * INC # I3: 4 => UNS * INC # A1: 1,6 => UNS * INC # A1: 2 => UNS * INC # B1: 1,6 => UNS * INC # B1: 2 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 2,3 => UNS * INC # F1: 6 => UNS * INC # I3: 4,6 => UNS * INC # I3: 1 => UNS * INC # A2: 4,6 => UNS * INC # A2: 7,9 => UNS * INC # I3: 1,6 => UNS * INC # I3: 4 => UNS * INC # A1: 1,6 => UNS * INC # A1: 2 => UNS * INC # B1: 1,6 => UNS * INC # B1: 2 => UNS * INC # F1: 2,3 # D3: 2,3 => UNS * INC # F1: 2,3 # F3: 2,3 => UNS * INC # F1: 2,3 # F8: 2,3 => UNS * INC # F1: 2,3 # F8: 7,9 => UNS * INC # F1: 2,3 # I3: 4,6 => UNS * INC # F1: 2,3 # I3: 1 => UNS * INC # F1: 2,3 # I3: 1,6 => UNS * INC # F1: 2,3 # I3: 4 => UNS * INC # F1: 2,3 => UNS * INC # F1: 6 # A2: 7,9 => UNS * INC # F1: 6 # B2: 7,9 => UNS * INC # F1: 6 # A3: 7,9 => UNS * INC # F1: 6 # B3: 7,9 => UNS * INC # F1: 6 # F2: 7,9 => UNS * INC # F1: 6 # F2: 3 => UNS * INC # F1: 6 # C5: 7,9 => UNS * INC # F1: 6 # C7: 7,9 => UNS * INC # F1: 6 # I3: 4,6 => UNS * INC # F1: 6 # I3: 1 => UNS * INC # F1: 6 # A2: 4,6 => UNS * INC # F1: 6 # A2: 7,9 => UNS * INC # F1: 6 # I3: 1,6 => UNS * INC # F1: 6 # I3: 4 => UNS * INC # F1: 6 => UNS * INC # I3: 4,6 # F1: 2,3 => UNS * INC # I3: 4,6 # F1: 6 => UNS * INC # I3: 4,6 # A2: 4,6 => UNS * INC # I3: 4,6 # A2: 7,9 => UNS * INC # I3: 4,6 # A3: 4,6 => UNS * INC # I3: 4,6 # A3: 2,7,9 => UNS * INC # I3: 4,6 # A1: 1,6 => UNS * INC # I3: 4,6 # A1: 2 => UNS * INC # I3: 4,6 # B1: 1,6 => UNS * INC # I3: 4,6 # B1: 2 => UNS * INC # I3: 4,6 # B8: 2,7 => UNS * INC # I3: 4,6 # A9: 2,7 => UNS * INC # I3: 4,6 # C5: 2,7 => UNS * INC # I3: 4,6 # C5: 9 => UNS * PRF # I3: 4,6 # D8: 2,7 => SOL * STA # I3: 4,6 + D8: 2,7 * CNT 51 HDP CHAINS / 52 HYP OPENED