Analysis of xx-mith-te3-00005295-base.sdk
Contents
Original Sudoku
level: medium
position: ...4..789..7....36......41...583.9...987.43...3..958..3........57.34..9..845...73 initial
Autosolve
position: ...4..789..7....36......41...583.9...987.43...3..958..3........57.34..9..845...73 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # B2: 2,5 => SOL * CNT 1 HDP CHAINS / 13 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # B2: 2,5 => SOL * STA B2: 2,5 * CNT 1 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4..789..7....36......41...583.9...987.43...3..958..3........57.34..9..845...73 | initial |
| ...4..789..7....36......41...583.9...987.43...3..958..3........57.34..9..845...73 | autosolve |
| 123456789457189236869273415245831967698724351731695824312967548576348192984512673 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (3) G2: 2,5 I3: 2,5 I8: 2,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G2,I3: 2.. / G2 = 2 => 7 pairs (_) / I3 = 2 => 7 pairs (_) C1,C3: 3.. / C1 = 3 => 3 pairs (_) / C3 = 3 => 7 pairs (_) F1,F3: 3.. / F1 = 3 => 7 pairs (_) / F3 = 3 => 3 pairs (_) C1,F1: 3.. / C1 = 3 => 3 pairs (_) / F1 = 3 => 7 pairs (_) C3,F3: 3.. / C3 = 3 => 7 pairs (_) / F3 = 3 => 3 pairs (_) A2,B2: 4.. / A2 = 4 => 0 pairs (*) / B2 = 4 => 0 pairs (X) H7,I7: 4.. / H7 = 4 => 10 pairs (_) / I7 = 4 => 5 pairs (_) B2,B4: 4.. / B2 = 4 => 5 pairs (_) / B4 = 4 => 0 pairs (*) G2,I3: 5.. / G2 = 5 => 7 pairs (_) / I3 = 5 => 7 pairs (_) H5,I5: 5.. / H5 = 5 => 5 pairs (_) / I5 = 5 => 7 pairs (_) B1,E1: 5.. / B1 = 5 => 6 pairs (_) / E1 = 5 => 3 pairs (_) G2,G7: 5.. / G2 = 5 => 7 pairs (_) / G7 = 5 => 7 pairs (_) H5,H7: 5.. / H5 = 5 => 5 pairs (_) / H7 = 5 => 7 pairs (_) E3,F3: 7.. / E3 = 7 => 3 pairs (_) / F3 = 7 => 8 pairs (_) A4,A6: 7.. / A4 = 7 => 3 pairs (_) / A6 = 7 => 4 pairs (_) I4,I6: 7.. / I4 = 7 => 4 pairs (_) / I6 = 7 => 3 pairs (_) E7,F7: 7.. / E7 = 7 => 8 pairs (_) / F7 = 7 => 3 pairs (_) A4,I4: 7.. / A4 = 7 => 3 pairs (_) / I4 = 7 => 4 pairs (_) A6,I6: 7.. / A6 = 7 => 4 pairs (_) / I6 = 7 => 3 pairs (_) E3,E7: 7.. / E3 = 7 => 3 pairs (_) / E7 = 7 => 8 pairs (_) F3,F7: 7.. / F3 = 7 => 8 pairs (_) / F7 = 7 => 3 pairs (_) A2,A3: 8.. / A2 = 8 => 10 pairs (_) / A3 = 8 => 3 pairs (_) I7,I8: 8.. / I7 = 8 => 21 pairs (_) / I8 = 8 => 4 pairs (_) F8,I8: 8.. / F8 = 8 => 21 pairs (_) / I8 = 8 => 4 pairs (_) C7,A9: 9.. / C7 = 9 => 7 pairs (_) / A9 = 9 => 0 pairs (*) A9,F9: 9.. / A9 = 9 => 0 pairs (*) / F9 = 9 => 0 pairs (X) C3,C7: 9.. / C3 = 9 => 0 pairs (*) / C7 = 9 => 0 pairs (X) * DURATION: 0:00:06.633904 START: 05:48:39.514501 END: 05:48:46.148405 2025-04-04 * CP COUNT: (27) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (G2,I3,I8) * ...4..789..7....36......41...583.9...987.43...3..958..3........57.34..9..845...73 * PAIR G2: 2,5 ROW 2 B2: 2,5,1,4 # reduction candidate for 2,5 B2: 2,5 => SOLVED * 123456789457189236869273415245831967698724351731695824312967548576348192984512673 B2: 1,4 # 4 pairs E2: 2,5,1,8 # reduction candidate for 2,5 E2: 2,5 # 8 pairs * PAIR G2: 2,5 COL G G7: 2,5,1,6 # reduction candidate for 2,5 G7: 1,6 # 8 pairs G7: 2,5 # 6 pairs * PAIR I3: 2,5 ROW 3 B3: 2,5,6 # reduction candidate for 2,5 B3: 2,5 # 5 pairs E3: 2,5,6,7,8 # reduction candidate for 2,5 E3: 2,5 # 13 pairs * PAIR I3: 2,5 COL I I5: 2,5,1 # reduction candidate for 2,5 I5: 2,5 # 8 pairs I7: 2,5,4,8 # reduction candidate for 2,5 I7: 2,5 # 12 pairs * PAIR I8: 2,8 BLK 9 I7: 2,8,4,5 # reduction candidate for 2,8 I7: 2,8 # 13 pairs I7: 4,5 # 5 pairs * PAIR I8: 2,8 ROW 8 F8: 2,8,1,6 # reduction candidate for 2,8 F8: 2,8 # 6 pairs F8: 1,6 # 5 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00005295-base-pr-000.dot * REASONING * PRF # B2: 2,5 => SOL * CNT 1 HDP CHAINS / 13 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (G2,I3,I8) * ...4..789..7....36......41...583.9...987.43...3..958..3........57.34..9..845...73 * PAIR G2: 2,5 ROW 2 B2: 2,5,1,4 # reduction candidate for 2,5 B2: 2,5 => SOLVED * 123456789457189236869273415245831967698724351731695824312967548576348192984512673 * DURATION: 0:00:00.471373 START: 05:48:48.091586 END: 05:48:48.562959 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00005295-base-pr-001.dot * REASONING * PRF # B2: 2,5 => SOL * STA B2: 2,5 * CNT 1 HDP CHAINS / 1 HYP OPENED
Header Info
rating: 1005; r2: 6535; index: 5295
Solution
position: 123456789457189236869273415245831967698724351731695824312967548576348192984512673 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:
* PRF # B2: 2,5 => SOL * INC # B2: 1,4 => UNS * INC # E2: 2,5 => UNS * INC # G7: 2,5 => UNS * INC # G7: 1,6 => UNS * INC # B3: 2,5 => UNS * INC # E3: 2,5 => UNS * INC # I5: 2,5 => UNS * INC # I7: 2,5 => UNS * INC # I7: 2,8 => UNS * INC # I7: 4,5 => UNS * INC # F8: 2,8 => UNS * INC # F8: 1,6 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* PRF # B2: 2,5 => SOL * STA B2: 2,5 * CNT 1 HDP CHAINS / 1 HYP OPENED