Analysis of xx-mith-te3-00058935-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.5678...7....3.8...........6.1.57.36....21.81...4....8.17..56..5.3..8...86.... initial
Autosolve
position: 1.3.5678...71...3.8...........6.1.57.36....21.81...4....8.17..56..5.3..8..586.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.146301
The following important HDP chains were detected:
* PRF # G2: 2,9 # F2: 2,9 => SOL * STA # G2: 2,9 + F2: 2,9 * CNT 1 HDP CHAINS / 47 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.5678...7....3.8...........6.1.57.36....21.81...4....8.17..56..5.3..8...86.... | initial |
| 1.3.5678...71...3.8...........6.1.57.36....21.81...4....8.17..56..5.3..8..586.... | autosolve |
| 123456789457189236869372514294631857536748921781925463348217695672593148915864372 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (12) B2: 5,6 B3: 5,6 D3: 3,7 E3: 3,7 A5: 5,7 A6: 5,7 E4: 3,8 G4: 3,8 G5: 8,9 H6: 6,9 B8: 1,7 B9: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G3,H3: 1.. / G3 = 1 => 14 pairs (_) / H3 = 1 => 12 pairs (_) B8,B9: 1.. / B8 = 1 => 11 pairs (_) / B9 = 1 => 10 pairs (_) D3,E3: 3.. / D3 = 3 => 10 pairs (_) / E3 = 3 => 11 pairs (_) G4,I6: 3.. / G4 = 3 => 11 pairs (_) / I6 = 3 => 13 pairs (_) A7,A9: 3.. / A7 = 3 => 12 pairs (_) / A9 = 3 => 0 pairs (X) E4,G4: 3.. / E4 = 3 => 13 pairs (_) / G4 = 3 => 11 pairs (_) A7,G7: 3.. / A7 = 3 => 12 pairs (_) / G7 = 3 => 0 pairs (X) D3,D6: 3.. / D3 = 3 => 10 pairs (_) / D6 = 3 => 11 pairs (_) I6,I9: 3.. / I6 = 3 => 13 pairs (_) / I9 = 3 => 11 pairs (_) B2,B3: 5.. / B2 = 5 => 10 pairs (_) / B3 = 5 => 10 pairs (_) G2,G3: 5.. / G2 = 5 => 10 pairs (_) / G3 = 5 => 10 pairs (_) A5,A6: 5.. / A5 = 5 => 10 pairs (_) / A6 = 5 => 13 pairs (_) F5,F6: 5.. / F5 = 5 => 13 pairs (_) / F6 = 5 => 10 pairs (_) B2,G2: 5.. / B2 = 5 => 10 pairs (_) / G2 = 5 => 10 pairs (_) B3,G3: 5.. / B3 = 5 => 10 pairs (_) / G3 = 5 => 10 pairs (_) A5,F5: 5.. / A5 = 5 => 10 pairs (_) / F5 = 5 => 13 pairs (_) A6,F6: 5.. / A6 = 5 => 13 pairs (_) / F6 = 5 => 10 pairs (_) B2,B3: 6.. / B2 = 6 => 10 pairs (_) / B3 = 6 => 10 pairs (_) H6,I6: 6.. / H6 = 6 => 13 pairs (_) / I6 = 6 => 12 pairs (_) G7,H7: 6.. / G7 = 6 => 13 pairs (_) / H7 = 6 => 14 pairs (_) D3,E3: 7.. / D3 = 7 => 11 pairs (_) / E3 = 7 => 10 pairs (_) A5,A6: 7.. / A5 = 7 => 13 pairs (_) / A6 = 7 => 10 pairs (_) B8,B9: 7.. / B8 = 7 => 10 pairs (_) / B9 = 7 => 11 pairs (_) H8,H9: 7.. / H8 = 7 => 11 pairs (_) / H9 = 7 => 10 pairs (_) B8,H8: 7.. / B8 = 7 => 10 pairs (_) / H8 = 7 => 11 pairs (_) B9,H9: 7.. / B9 = 7 => 11 pairs (_) / H9 = 7 => 10 pairs (_) E2,F2: 8.. / E2 = 8 => 11 pairs (_) / F2 = 8 => 12 pairs (_) G4,G5: 8.. / G4 = 8 => 13 pairs (_) / G5 = 8 => 11 pairs (_) E4,G4: 8.. / E4 = 8 => 11 pairs (_) / G4 = 8 => 13 pairs (_) F2,F5: 8.. / F2 = 8 => 12 pairs (_) / F5 = 8 => 11 pairs (_) * DURATION: 0:00:10.820410 START: 17:11:00.295729 END: 17:11:11.116139 2025-04-04 * CP COUNT: (30) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:12.003549 START: 17:11:18.428506 END: 17:11:30.432055 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00058935-base-pr-002.dot * REASONING * PRF # G2: 2,9 # F2: 2,9 => SOL * STA # G2: 2,9 + F2: 2,9 * CNT 1 HDP CHAINS / 47 HYP OPENED
Header Info
rating: 12358; r2: 285505; index: 58935
Solution
position: 123456789457189236869372514294631857536748921781925463348217695672593148915864372 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 # G2: 5,6 => UNS * INC # G2: 2,9 => UNS * INC # G3: 5,6 => UNS * INC # G3: 1,2,9 => UNS * INC # D6: 3,7 => UNS * INC # D6: 2,9 => UNS * INC # E6: 3,7 => UNS * INC # E6: 2,9 => UNS * INC # E5: 8,9 => UNS * INC # F5: 8,9 => UNS * INC # I6: 6,9 => UNS * INC # I6: 3 => UNS * INC # H3: 6,9 => UNS * INC # H7: 6,9 => UNS * INC # H8: 1,7 => UNS * INC # H8: 4,9 => UNS * INC # H9: 1,7 => UNS * INC # H9: 4,9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 5,6 => UNS * INC # G2: 2,9 => UNS * INC # G3: 5,6 => UNS * INC # G3: 1,2,9 => UNS * INC # D6: 3,7 => UNS * INC # D6: 2,9 => UNS * INC # E6: 3,7 => UNS * INC # E6: 2,9 => UNS * INC # E5: 8,9 => UNS * INC # F5: 8,9 => UNS * INC # I6: 6,9 => UNS * INC # I6: 3 => UNS * INC # H3: 6,9 => UNS * INC # H7: 6,9 => UNS * INC # H8: 1,7 => UNS * INC # H8: 4,9 => UNS * INC # H9: 1,7 => UNS * INC # H9: 4,9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 5,6 => UNS * INC # G2: 2,9 => UNS * INC # G3: 5,6 => UNS * INC # G3: 1,2,9 => UNS * INC # D6: 3,7 => UNS * INC # D6: 2,9 => UNS * INC # E6: 3,7 => UNS * INC # E6: 2,9 => UNS * INC # E5: 8,9 => UNS * INC # F5: 8,9 => UNS * INC # I6: 6,9 => UNS * INC # I6: 3 => UNS * INC # H3: 6,9 => UNS * INC # H7: 6,9 => UNS * INC # H8: 1,7 => UNS * INC # H8: 4,9 => UNS * INC # H9: 1,7 => UNS * INC # H9: 4,9 => UNS * INC # G2: 5,6 # G3: 5,6 => UNS * INC # G2: 5,6 # G3: 1,2,9 => UNS * INC # G2: 5,6 # D6: 3,7 => UNS * INC # G2: 5,6 # D6: 2,9 => UNS * INC # G2: 5,6 # E6: 3,7 => UNS * INC # G2: 5,6 # E6: 2,9 => UNS * INC # G2: 5,6 # G3: 5,6 => UNS * INC # G2: 5,6 # G3: 1,2,9 => UNS * INC # G2: 5,6 # E5: 8,9 => UNS * INC # G2: 5,6 # F5: 8,9 => UNS * INC # G2: 5,6 # I6: 6,9 => UNS * INC # G2: 5,6 # I6: 3 => UNS * INC # G2: 5,6 # H3: 6,9 => UNS * INC # G2: 5,6 # H7: 6,9 => UNS * INC # G2: 5,6 # H8: 1,7 => UNS * INC # G2: 5,6 # H8: 4,9 => UNS * INC # G2: 5,6 # H9: 1,7 => UNS * INC # G2: 5,6 # H9: 4,9 => UNS * INC # G2: 5,6 => UNS * INC # G2: 2,9 # D6: 3,7 => UNS * INC # G2: 2,9 # D6: 2,9 => UNS * INC # G2: 2,9 # E6: 3,7 => UNS * INC # G2: 2,9 # E6: 2,9 => UNS * INC # G2: 2,9 # I1: 2,9 => UNS * INC # G2: 2,9 # I3: 2,9 => UNS * INC # G2: 2,9 # A2: 2,9 => UNS * INC # G2: 2,9 # E2: 2,9 => UNS * PRF # G2: 2,9 # F2: 2,9 => SOL * STA # G2: 2,9 + F2: 2,9 * CNT 46 HDP CHAINS / 47 HYP OPENED