Analysis of xx-mith-te3-00094818-base.sdk
Contents
Original Sudoku
level: medium
position: ...4.678...718......8.72.1..7..4186........4284.26....53.......7.1.24...9.....6.. initial
Autosolve
position: ...4.678...718......8.72.1..7..4186........4284.26....53.......7.1.24...9.....6.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # G7: 1,9 => SOL * CNT 1 HDP CHAINS / 15 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # G7: 1,9 => SOL * STA G7: 1,9 * CNT 1 HDP CHAINS / 13 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4.678...718......8.72.1..7..4186........4284.26....53.......7.1.24...9.....6.. | initial |
| ...4.678...718......8.72.1..7..4186........4284.26....53.......7.1.24...9.....6.. | autosolve |
| 123456789457189236698372415279541863316897542845263197532618974761924358984735621 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (7) A4: 2,3 D5: 7,8 F5: 7,8 B8: 6,8 B9: 2,8 C9: 2,4 E7: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 1.. / A1 = 1 => 8 pairs (_) / B1 = 1 => 16 pairs (_) A5,B5: 1.. / A5 = 1 => 16 pairs (_) / B5 = 1 => 8 pairs (_) G6,I6: 1.. / G6 = 1 => 7 pairs (_) / I6 = 1 => 0 pairs (X) E7,E9: 1.. / E7 = 1 => 7 pairs (_) / E9 = 1 => 11 pairs (_) E9,I9: 1.. / E9 = 1 => 11 pairs (_) / I9 = 1 => 7 pairs (_) A1,A5: 1.. / A1 = 1 => 8 pairs (_) / A5 = 1 => 16 pairs (_) B1,B5: 1.. / B1 = 1 => 16 pairs (_) / B5 = 1 => 8 pairs (_) G6,G7: 1.. / G6 = 1 => 7 pairs (_) / G7 = 1 => 0 pairs (X) G2,H2: 2.. / G2 = 2 => 7 pairs (_) / H2 = 2 => 0 pairs (X) A4,C4: 2.. / A4 = 2 => 7 pairs (_) / C4 = 2 => 19 pairs (_) A1,A4: 2.. / A1 = 2 => 19 pairs (_) / A4 = 2 => 7 pairs (_) B1,B9: 2.. / B1 = 2 => 19 pairs (_) / B9 = 2 => 11 pairs (_) G2,G7: 2.. / G2 = 2 => 7 pairs (_) / G7 = 2 => 0 pairs (X) A2,A3: 4.. / A2 = 4 => 8 pairs (_) / A3 = 4 => 10 pairs (_) C7,C9: 4.. / C7 = 4 => 0 pairs (X) / C9 = 4 => 7 pairs (_) C9,I9: 4.. / C9 = 4 => 7 pairs (_) / I9 = 4 => 0 pairs (X) I2,I3: 6.. / I2 = 6 => 9 pairs (_) / I3 = 6 => 9 pairs (_) C7,B8: 6.. / C7 = 6 => 11 pairs (_) / B8 = 6 => 19 pairs (_) D7,D8: 6.. / D7 = 6 => 19 pairs (_) / D8 = 6 => 11 pairs (_) C7,D7: 6.. / C7 = 6 => 11 pairs (_) / D7 = 6 => 19 pairs (_) B8,D8: 6.. / B8 = 6 => 19 pairs (_) / D8 = 6 => 11 pairs (_) C5,C7: 6.. / C5 = 6 => 19 pairs (_) / C7 = 6 => 11 pairs (_) D5,F5: 7.. / D5 = 7 => 6 pairs (_) / F5 = 7 => 6 pairs (_) H6,I6: 7.. / H6 = 7 => 19 pairs (_) / I6 = 7 => 7 pairs (_) D5,F5: 8.. / D5 = 8 => 6 pairs (_) / F5 = 8 => 6 pairs (_) B8,B9: 8.. / B8 = 8 => 11 pairs (_) / B9 = 8 => 19 pairs (_) * DURATION: 0:00:07.537977 START: 00:06:01.165093 END: 00:06:08.703070 2025-04-05 * CP COUNT: (26) * CLUE FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,B8,B9,C9,D5,E7,F5) * ...4.678...718......8.72.1..7..4186........4284.26....53.......7.1.24...9.....6.. * PAIR A4: 2,3 BLK 4 C4: 2,3,5,9 # reduction candidate for 2,3 C4: 2,3 # 12 pairs C4: 5,9 # 8 pairs * PAIR A4: 2,3 COL A A1: 2,3,1 # reduction candidate for 2,3 A1: 2,3 # 16 pairs A1: 1 # 8 pairs * PAIR D5: 7,8 COL D D7: 7,8,6,9 # reduction candidate for 7,8 D7: 7,8 # 13 pairs D9: 7,8,3,5 # reduction candidate for 7,8 D9: 7,8 # 9 pairs * PAIR F5: 7,8 COL F F7: 7,8,9 # reduction candidate for 7,8 F7: 7,8 # 9 pairs F9: 7,8,3,5 # reduction candidate for 7,8 F9: 7,8 # 12 pairs * PAIR B8: 6,8 ROW 8 D8: 6,8,3,5,9 # reduction candidate for 6,8 D8: 3,5,9 # 19 pairs D8: 6,8 # 14 pairs * PAIR C9: 2,4 BLK 7 C7: 2,4,6 # reduction candidate for 2,4 C7: 2,4 # 19 pairs C7: 6 # 11 pairs * PAIR E7: 1,9 ROW 7 G7: 1,9,2,4 # reduction candidate for 1,9 G7: 1,9 => SOLVED * 123456789457189236698372415279541863316897542845263197532618974761924358984735621 G7: 2,4 # 8 pairs I7: 1,9,4,7,8 # reduction candidate for 1,9 I7: 1,9 # 12 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00094818-base-pr-000.dot * REASONING * PRF # G7: 1,9 => SOL * CNT 1 HDP CHAINS / 15 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,B8,B9,C9,D5,E7,F5) * ...4.678...718......8.72.1..7..4186........4284.26....53.......7.1.24...9.....6.. * PAIR A4: 2,3 BLK 4 C4: 2,3,5,9 # reduction candidate for 2,3 C4: 2,3 # 12 pairs C4: 5,9 # 8 pairs * PAIR A4: 2,3 COL A A1: 2,3,1 # reduction candidate for 2,3 A1: 2,3 # 16 pairs A1: 1 # 8 pairs * PAIR D5: 7,8 COL D D7: 7,8,6,9 # reduction candidate for 7,8 D7: 7,8 # 13 pairs D9: 7,8,3,5 # reduction candidate for 7,8 D9: 7,8 # 9 pairs * PAIR F5: 7,8 COL F F7: 7,8,9 # reduction candidate for 7,8 F7: 7,8 # 9 pairs F9: 7,8,3,5 # reduction candidate for 7,8 F9: 7,8 # 12 pairs * PAIR B8: 6,8 ROW 8 D8: 6,8,3,5,9 # reduction candidate for 6,8 D8: 3,5,9 # 19 pairs D8: 6,8 # 14 pairs * PAIR C9: 2,4 BLK 7 C7: 2,4,6 # reduction candidate for 2,4 C7: 2,4 # 19 pairs C7: 6 # 11 pairs * PAIR E7: 1,9 ROW 7 G7: 1,9,2,4 # reduction candidate for 1,9 G7: 1,9 => SOLVED * 123456789457189236698372415279541863316897542845263197532618974761924358984735621 * DURATION: 0:00:02.325341 START: 00:06:11.222717 END: 00:06:13.548058 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00094818-base-pr-001.dot * REASONING * PRF # G7: 1,9 => SOL * STA G7: 1,9 * CNT 1 HDP CHAINS / 13 HYP OPENED
Header Info
rating: 23974; r2: 743452; index: 94818
Solution
position: 123456789457189236698372415279541863316897542845263197532618974761924358984735621 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 # C4: 2,3 => UNS * INC # C4: 5,9 => UNS * INC # A1: 2,3 => UNS * INC # A1: 1 => UNS * INC # D7: 7,8 => UNS * INC # D9: 7,8 => UNS * INC # F7: 7,8 => UNS * INC # F9: 7,8 => UNS * INC # D8: 6,8 => UNS * INC # D8: 3,5,9 => UNS * INC # C7: 2,4 => UNS * INC # C7: 6 => UNS * PRF # G7: 1,9 => SOL * INC # G7: 2,4 => UNS * INC # I7: 1,9 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C4: 2,3 => UNS * INC # C4: 5,9 => UNS * INC # A1: 2,3 => UNS * INC # A1: 1 => UNS * INC # D7: 7,8 => UNS * INC # D9: 7,8 => UNS * INC # F7: 7,8 => UNS * INC # F9: 7,8 => UNS * INC # D8: 6,8 => UNS * INC # D8: 3,5,9 => UNS * INC # C7: 2,4 => UNS * INC # C7: 6 => UNS * PRF # G7: 1,9 => SOL * STA G7: 1,9 * CNT 13 HDP CHAINS / 13 HYP OPENED