Analysis of xx-mith-te3-00048305-base.sdk
Contents
Original Sudoku
level: medium
position: 1.3.567....718....8..7.3....81....75.3.......7.68....1......697675.....3......542 initial
Autosolve
position: 1.3.567....718....8..7.3....81....7553.......7.68.5..1...5..697675.....3......542 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # E4: 2,4,9 => SOL * CNT 1 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # E4: 2,4,9 => SOL * STA E4: 2,4,9 * CNT 1 HDP CHAINS / 8 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.567....718....8..7.3....81....75.3.......7.68....1......697675.....3......542 | initial |
| 1.3.567....718....8..7.3....81....7553.......7.68.5..1...5..697675.....3......542 | autosolve |
| 123456789457189236869723154281694375534271968796835421342518697675942813918367542 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (15) B2: 5,6 B3: 5,6 H1: 2,8 D4: 3,6 E5: 1,7 F5: 1,7 H6: 2,3 A9: 3,9 B9: 1,9 C9: 8,9 E7: 1,3 F7: 1,8 D9: 3,6 G8: 1,8 H8: 1,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G3,H3: 1.. / G3 = 1 => 16 pairs (_) / H3 = 1 => 15 pairs (_) E5,F5: 1.. / E5 = 1 => 11 pairs (_) / F5 = 1 => 12 pairs (_) B7,B9: 1.. / B7 = 1 => 14 pairs (_) / B9 = 1 => 16 pairs (_) G8,H8: 1.. / G8 = 1 => 15 pairs (_) / H8 = 1 => 16 pairs (_) G3,G8: 1.. / G3 = 1 => 16 pairs (_) / G8 = 1 => 15 pairs (_) H3,H8: 1.. / H3 = 1 => 15 pairs (_) / H8 = 1 => 16 pairs (_) G2,H2: 3.. / G2 = 3 => 15 pairs (_) / H2 = 3 => 15 pairs (_) A7,A9: 3.. / A7 = 3 => 13 pairs (_) / A9 = 3 => 13 pairs (_) A7,E7: 3.. / A7 = 3 => 13 pairs (_) / E7 = 3 => 13 pairs (_) D4,D9: 3.. / D4 = 3 => 13 pairs (_) / D9 = 3 => 10 pairs (_) H2,H6: 3.. / H2 = 3 => 15 pairs (_) / H6 = 3 => 15 pairs (_) B2,B3: 5.. / B2 = 5 => 15 pairs (_) / B3 = 5 => 14 pairs (_) H2,H3: 5.. / H2 = 5 => 14 pairs (_) / H3 = 5 => 15 pairs (_) B2,H2: 5.. / B2 = 5 => 15 pairs (_) / H2 = 5 => 14 pairs (_) B3,H3: 5.. / B3 = 5 => 14 pairs (_) / H3 = 5 => 15 pairs (_) B2,B3: 6.. / B2 = 6 => 14 pairs (_) / B3 = 6 => 15 pairs (_) D4,E4: 6.. / D4 = 6 => 10 pairs (_) / E4 = 6 => 13 pairs (_) H5,I5: 6.. / H5 = 6 => 15 pairs (_) / I5 = 6 => 18 pairs (_) D9,E9: 6.. / D9 = 6 => 13 pairs (_) / E9 = 6 => 10 pairs (_) D4,D9: 6.. / D4 = 6 => 10 pairs (_) / D9 = 6 => 13 pairs (_) E4,E9: 6.. / E4 = 6 => 13 pairs (_) / E9 = 6 => 10 pairs (_) E5,F5: 7.. / E5 = 7 => 12 pairs (_) / F5 = 7 => 11 pairs (_) E9,F9: 7.. / E9 = 7 => 11 pairs (_) / F9 = 7 => 12 pairs (_) E5,E9: 7.. / E5 = 7 => 12 pairs (_) / E9 = 7 => 11 pairs (_) F5,F9: 7.. / F5 = 7 => 11 pairs (_) / F9 = 7 => 12 pairs (_) H1,I1: 8.. / H1 = 8 => 15 pairs (_) / I1 = 8 => 19 pairs (_) C7,C9: 8.. / C7 = 8 => 10 pairs (_) / C9 = 8 => 15 pairs (_) F7,F9: 8.. / F7 = 8 => 15 pairs (_) / F9 = 8 => 10 pairs (_) G8,H8: 8.. / G8 = 8 => 16 pairs (_) / H8 = 8 => 15 pairs (_) C7,F7: 8.. / C7 = 8 => 10 pairs (_) / F7 = 8 => 15 pairs (_) C9,F9: 8.. / C9 = 8 => 15 pairs (_) / F9 = 8 => 10 pairs (_) G5,G8: 8.. / G5 = 8 => 15 pairs (_) / G8 = 8 => 16 pairs (_) I1,I5: 8.. / I1 = 8 => 19 pairs (_) / I5 = 8 => 15 pairs (_) * DURATION: 0:00:12.713305 START: 08:39:58.812362 END: 08:40:11.525667 2025-04-06 * CP COUNT: (33) * INCONCLUSIVE -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A9,B2,B3,B9,C9,D4,D9,E5,E7,F5,F7,G8,H1,H6,H8) * 1.3.567....718....8..7.3....81....7553.......7.68.5..1...5..697675.....3......542 * PAIR B2: 5,6 ROW 2 H2: 5,6,2,3 # reduction candidate for 5,6 H2: 5,6 # 17 pairs H2: 2,3 # 16 pairs * PAIR B3: 5,6 ROW 3 H3: 5,6,1,2 # reduction candidate for 5,6 H3: 5,6 # 18 pairs H3: 1,2 # 15 pairs * PAIR H1: 2,8 COL H H5: 2,8,6 # reduction candidate for 2,8 H5: 2,8 # 18 pairs H5: 6 # 15 pairs * PAIR D4: 3,6 BLK 5 E4: 3,6,2,4,9 # reduction candidate for 3,6 E4: 2,4,9 => SOLVED * 123456789457189236869723154281694375534271968796835421342518697675942813918367542 E4: 3,6 # 16 pairs * PAIR E5: 1,7 COL E E9: 1,7,3,6 # reduction candidate for 1,7 E9: 3,6 # 13 pairs E9: 1,7 # 13 pairs * PAIR F5: 1,7 COL F F9: 1,7,8 # reduction candidate for 1,7 F9: 1,7 # 15 pairs F9: 8 # 10 pairs * PAIR H6: 2,3 BLK 6 G4: 2,3,4,9 # reduction candidate for 2,3 G4: 2,3 # 18 pairs G6: 2,3,4,9 # reduction candidate for 2,3 G6: 2,3 # 21 pairs * PAIR H6: 2,3 ROW 6 E6: 2,3,4,9 # reduction candidate for 2,3 E6: 2,3 # 18 pairs E6: 4,9 # 17 pairs * PAIR H6: 2,3 COL H H2: 2,3,5,6 # reduction candidate for 2,3 H2: 5,6 # 17 pairs H2: 2,3 # 16 pairs * PAIR E7: 1,3 BLK 8 E9: 1,3,6,7 # reduction candidate for 1,3 E9: 6,7 # 16 pairs E9: 1,3 # 11 pairs * PAIR F7: 1,8 BLK 8 F9: 1,8,7 # reduction candidate for 1,8 F9: 7 # 12 pairs F9: 1,8 # 11 pairs * PAIR D9: 3,6 BLK 8 E9: 3,6,1,7 # reduction candidate for 3,6 E9: 3,6 # 13 pairs E9: 1,7 # 13 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00048305-base-pr-000.dot * REASONING * PRF # E4: 2,4,9 => SOL * CNT 1 HDP CHAINS / 24 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A9,B2,B3,B9,C9,D4,D9,E5,E7,F5,F7,G8,H1,H6,H8) * 1.3.567....718....8..7.3....81....7553.......7.68.5..1...5..697675.....3......542 * PAIR B2: 5,6 ROW 2 H2: 5,6,2,3 # reduction candidate for 5,6 H2: 5,6 # 17 pairs H2: 2,3 # 16 pairs * PAIR B3: 5,6 ROW 3 H3: 5,6,1,2 # reduction candidate for 5,6 H3: 5,6 # 18 pairs H3: 1,2 # 15 pairs * PAIR H1: 2,8 COL H H5: 2,8,6 # reduction candidate for 2,8 H5: 2,8 # 18 pairs H5: 6 # 15 pairs * PAIR D4: 3,6 BLK 5 E4: 3,6,2,4,9 # reduction candidate for 3,6 E4: 2,4,9 => SOLVED * 123456789457189236869723154281694375534271968796835421342518697675942813918367542 * DURATION: 0:00:01.964322 START: 08:40:16.640201 END: 08:40:18.604523 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00048305-base-pr-001.dot * REASONING * PRF # E4: 2,4,9 => SOL * STA E4: 2,4,9 * CNT 1 HDP CHAINS / 8 HYP OPENED
Header Info
rating: 10012; r2: 369395; index: 48305
Solution
position: 123456789457189236869723154281694375534271968796835421342518697675942813918367542 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 # H2: 5,6 => UNS * INC # H2: 2,3 => UNS * INC # H3: 5,6 => UNS * INC # H3: 1,2 => UNS * INC # H5: 2,8 => UNS * INC # H5: 6 => UNS * INC # E4: 3,6 => UNS * PRF # E4: 2,4,9 => SOL * INC # E9: 1,7 => UNS * INC # E9: 3,6 => UNS * INC # F9: 1,7 => UNS * INC # F9: 8 => UNS * INC # G4: 2,3 => UNS * INC # G6: 2,3 => UNS * INC # E6: 2,3 => UNS * INC # E6: 4,9 => UNS * INC # H2: 2,3 => UNS * INC # H2: 5,6 => UNS * INC # E9: 1,3 => UNS * INC # E9: 6,7 => UNS * INC # F9: 1,8 => UNS * INC # F9: 7 => UNS * INC # E9: 3,6 => UNS * INC # E9: 1,7 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H2: 5,6 => UNS * INC # H2: 2,3 => UNS * INC # H3: 5,6 => UNS * INC # H3: 1,2 => UNS * INC # H5: 2,8 => UNS * INC # H5: 6 => UNS * INC # E4: 3,6 => UNS * PRF # E4: 2,4,9 => SOL * STA E4: 2,4,9 * CNT 8 HDP CHAINS / 8 HYP OPENED