Analysis of xx-mith-te3-00093969-base.sdk
Contents
Original Sudoku
level: medium
position: 1.3....8..571...3668.3....1.68.3..57.......6...1.7.3.8...8..675.....2......59.... initial
Autosolve
position: 1.3....8..571...3668.3....1.68.3..57.......6...1.7.3.8...8..675.....2......59.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # E5: 1,4 => SOL * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # E5: 1,4 => SOL * STA E5: 1,4 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3....8..571...3668.3....1.68.3..57.......6...1.7.3.8...8..675.....2......59.... | initial |
| 1.3....8..571...3668.3....1.68.3..57.......6...1.7.3.8...8..675.....2......59.... | autosolve |
| 123456789457189236689327541268934157735218964941675328392841675514762893876593412 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (6) G1: 5,7 G3: 5,7 A5: 3,7 B5: 3,7 C9: 4,6 E7: 1,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,G5: 1.. / G4 = 1 => 16 pairs (_) / G5 = 1 => 7 pairs (_) H8,H9: 1.. / H8 = 1 => 8 pairs (_) / H9 = 1 => 7 pairs (_) F4,G4: 1.. / F4 = 1 => 7 pairs (_) / G4 = 1 => 16 pairs (_) A5,B5: 3.. / A5 = 3 => 8 pairs (_) / B5 = 3 => 4 pairs (_) F7,F9: 3.. / F7 = 3 => 8 pairs (_) / F9 = 3 => 10 pairs (_) I8,I9: 3.. / I8 = 3 => 7 pairs (_) / I9 = 3 => 10 pairs (_) G1,G3: 5.. / G1 = 5 => 4 pairs (_) / G3 = 5 => 5 pairs (_) C5,A6: 5.. / C5 = 5 => 11 pairs (_) / A6 = 5 => 8 pairs (_) A8,C8: 5.. / A8 = 5 => 11 pairs (_) / C8 = 5 => 8 pairs (_) A6,F6: 5.. / A6 = 5 => 8 pairs (_) / F6 = 5 => 11 pairs (_) A6,A8: 5.. / A6 = 5 => 8 pairs (_) / A8 = 5 => 11 pairs (_) C5,C8: 5.. / C5 = 5 => 11 pairs (_) / C8 = 5 => 8 pairs (_) D6,F6: 6.. / D6 = 6 => 7 pairs (_) / F6 = 6 => 10 pairs (_) C8,C9: 6.. / C8 = 6 => 0 pairs (X) / C9 = 6 => 6 pairs (_) C9,F9: 6.. / C9 = 6 => 6 pairs (_) / F9 = 6 => 0 pairs (X) E1,E8: 6.. / E1 = 6 => 10 pairs (_) / E8 = 6 => 7 pairs (_) G1,G3: 7.. / G1 = 7 => 5 pairs (_) / G3 = 7 => 4 pairs (_) A5,B5: 7.. / A5 = 7 => 4 pairs (_) / B5 = 7 => 8 pairs (_) D8,F9: 7.. / D8 = 7 => 6 pairs (_) / F9 = 7 => 8 pairs (_) F3,G3: 7.. / F3 = 7 => 5 pairs (_) / G3 = 7 => 4 pairs (_) D1,D8: 7.. / D1 = 7 => 8 pairs (_) / D8 = 7 => 6 pairs (_) E2,F2: 8.. / E2 = 8 => 7 pairs (_) / F2 = 8 => 8 pairs (_) E5,F5: 8.. / E5 = 8 => 8 pairs (_) / F5 = 8 => 7 pairs (_) A8,A9: 8.. / A8 = 8 => 9 pairs (_) / A9 = 8 => 7 pairs (_) G8,G9: 8.. / G8 = 8 => 7 pairs (_) / G9 = 8 => 9 pairs (_) A8,G8: 8.. / A8 = 8 => 9 pairs (_) / G8 = 8 => 7 pairs (_) A9,G9: 8.. / A9 = 8 => 7 pairs (_) / G9 = 8 => 9 pairs (_) E2,E5: 8.. / E2 = 8 => 7 pairs (_) / E5 = 8 => 8 pairs (_) F2,F5: 8.. / F2 = 8 => 8 pairs (_) / F5 = 8 => 7 pairs (_) * DURATION: 0:00:08.737707 START: 23:55:06.486142 END: 23:55:15.223849 2025-04-04 * CP COUNT: (29) * CLUE FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B5,C9,E7,G1,G3) * 1.3....8..571...3668.3....1.68.3..57.......6...1.7.3.8...8..675.....2......59.... * PAIR G1: 5,7 ROW 1 F1: 5,7,4,6,9 # reduction candidate for 5,7 F1: 5,7 # 7 pairs F1: 4,6,9 # 6 pairs * PAIR G3: 5,7 ROW 3 F3: 5,7,4,9 # reduction candidate for 5,7 F3: 5,7 # 8 pairs F3: 4,9 # 5 pairs * PAIR A5: 3,7 COL A A8: 3,7,4,5,8 # reduction candidate for 3,7 A8: 3,7 # 10 pairs A9: 3,7,4,8 # reduction candidate for 3,7 A9: 3,7 # 10 pairs * PAIR B5: 3,7 COL B B8: 3,7,1,4 # reduction candidate for 3,7 B8: 3,7 # 8 pairs B9: 3,7,1,4 # reduction candidate for 3,7 B9: 3,7 # 8 pairs * PAIR C9: 4,6 BLK 7 C8: 4,6,5 # reduction candidate for 4,6 C8: 4,6 # 11 pairs C8: 5 # 8 pairs * PAIR C9: 4,6 ROW 9 F9: 4,6,1,3,7 # reduction candidate for 4,6 F9: 4,6 # 14 pairs F9: 1,3,7 # 6 pairs * PAIR E7: 1,4 BLK 8 F7: 1,4,3 # reduction candidate for 1,4 F7: 1,4 # 10 pairs E8: 1,4,6 # reduction candidate for 1,4 E8: 1,4 # 10 pairs F9: 1,4,3,6,7 # reduction candidate for 1,4 F9: 1,4 # 14 pairs * PAIR E7: 1,4 ROW 7 B7: 1,4,2,3,9 # reduction candidate for 1,4 B7: 1,4 # 13 pairs B7: 2,3,9 # 7 pairs * PAIR E7: 1,4 COL E E5: 1,4,2,5,8 # reduction candidate for 1,4 E5: 1,4 => SOLVED * 123456789457189236689327541268934157735218964941675328392841675514762893876593412 E5: 2,5,8 # 7 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00093969-base-pr-000.dot * REASONING * PRF # E5: 1,4 => SOL * CNT 1 HDP CHAINS / 19 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B5,C9,E7,G1,G3) * 1.3....8..571...3668.3....1.68.3..57.......6...1.7.3.8...8..675.....2......59.... * PAIR G1: 5,7 ROW 1 F1: 5,7,4,6,9 # reduction candidate for 5,7 F1: 5,7 # 7 pairs F1: 4,6,9 # 6 pairs * PAIR G3: 5,7 ROW 3 F3: 5,7,4,9 # reduction candidate for 5,7 F3: 5,7 # 8 pairs F3: 4,9 # 5 pairs * PAIR A5: 3,7 COL A A8: 3,7,4,5,8 # reduction candidate for 3,7 A8: 3,7 # 10 pairs A9: 3,7,4,8 # reduction candidate for 3,7 A9: 3,7 # 10 pairs * PAIR B5: 3,7 COL B B8: 3,7,1,4 # reduction candidate for 3,7 B8: 3,7 # 8 pairs B9: 3,7,1,4 # reduction candidate for 3,7 B9: 3,7 # 8 pairs * PAIR C9: 4,6 BLK 7 C8: 4,6,5 # reduction candidate for 4,6 C8: 4,6 # 11 pairs C8: 5 # 8 pairs * PAIR C9: 4,6 ROW 9 F9: 4,6,1,3,7 # reduction candidate for 4,6 F9: 4,6 # 14 pairs F9: 1,3,7 # 6 pairs * PAIR E7: 1,4 BLK 8 F7: 1,4,3 # reduction candidate for 1,4 F7: 1,4 # 10 pairs E8: 1,4,6 # reduction candidate for 1,4 E8: 1,4 # 10 pairs F9: 1,4,3,6,7 # reduction candidate for 1,4 F9: 1,4 # 14 pairs * PAIR E7: 1,4 ROW 7 B7: 1,4,2,3,9 # reduction candidate for 1,4 B7: 1,4 # 13 pairs B7: 2,3,9 # 7 pairs * PAIR E7: 1,4 COL E E5: 1,4,2,5,8 # reduction candidate for 1,4 E5: 1,4 => SOLVED * 123456789457189236689327541268934157735218964941675328392841675514762893876593412 * DURATION: 0:00:03.264407 START: 23:55:18.673201 END: 23:55:21.937608 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00093969-base-pr-001.dot * REASONING * PRF # E5: 1,4 => SOL * STA E5: 1,4 * CNT 1 HDP CHAINS / 18 HYP OPENED
Header Info
rating: 23817; r2: 483941; index: 93969
Solution
position: 123456789457189236689327541268934157735218964941675328392841675514762893876593412 solved
See section 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: 5,7 => UNS * INC # F1: 4,6,9 => UNS * INC # F3: 5,7 => UNS * INC # F3: 4,9 => UNS * INC # A8: 3,7 => UNS * INC # A9: 3,7 => UNS * INC # B8: 3,7 => UNS * INC # B9: 3,7 => UNS * INC # C8: 4,6 => UNS * INC # C8: 5 => UNS * INC # F9: 4,6 => UNS * INC # F9: 1,3,7 => UNS * INC # F7: 1,4 => UNS * INC # E8: 1,4 => UNS * INC # F9: 1,4 => UNS * INC # B7: 1,4 => UNS * INC # B7: 2,3,9 => UNS * PRF # E5: 1,4 => SOL * INC # E5: 2,5,8 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 5,7 => UNS * INC # F1: 4,6,9 => UNS * INC # F3: 5,7 => UNS * INC # F3: 4,9 => UNS * INC # A8: 3,7 => UNS * INC # A9: 3,7 => UNS * INC # B8: 3,7 => UNS * INC # B9: 3,7 => UNS * INC # C8: 4,6 => UNS * INC # C8: 5 => UNS * INC # F9: 4,6 => UNS * INC # F9: 1,3,7 => UNS * INC # F7: 1,4 => UNS * INC # E8: 1,4 => UNS * INC # F9: 1,4 => UNS * INC # B7: 1,4 => UNS * INC # B7: 2,3,9 => UNS * PRF # E5: 1,4 => SOL * STA E5: 1,4 * CNT 18 HDP CHAINS / 18 HYP OPENED