Analysis of xx-mith-te3-00119142-base.sdk
Contents
Original Sudoku
level: medium
position: .2...6..94....9..669.37....23.......7.9.24.6..46..392.372....94....3.8.......7.5. initial
Autosolve
position: .2...6..94....9..669.37....23.......7.9.24.6..467.392.372....94....3.8.......7.5. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # E9: 4 => SOL * CNT 1 HDP CHAINS / 21 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # E9: 4 => SOL * STA E9: 4 * CNT 1 HDP CHAINS / 8 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2...6..94....9..669.37....23.......7.9.24.6..46..392.372....94....3.8.......7.5. | initial |
| .2...6..94....9..669.37....23.......7.9.24.6..467.392.372....94....3.8.......7.5. | autosolve |
| 123456789457189236698372541235698417719524368846713925372865194564931872981247653 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (11) C1: 3,7 C2: 3,7 D4: 6,9 E4: 6,9 A8: 5,9 B8: 5,6 C8: 4,5 F8: 1,2 G7: 1,6 H8: 1,7 I9: 2,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,F3: 2.. / D2 = 2 => 12 pairs (_) / F3 = 2 => 13 pairs (_) F8,D9: 2.. / F8 = 2 => 12 pairs (_) / D9 = 2 => 13 pairs (_) D2,G2: 2.. / D2 = 2 => 12 pairs (_) / G2 = 2 => 13 pairs (_) F8,I8: 2.. / F8 = 2 => 12 pairs (_) / I8 = 2 => 13 pairs (_) D2,D9: 2.. / D2 = 2 => 12 pairs (_) / D9 = 2 => 13 pairs (_) F3,F8: 2.. / F3 = 2 => 13 pairs (_) / F8 = 2 => 12 pairs (_) C1,C2: 3.. / C1 = 3 => 9 pairs (_) / C2 = 3 => 10 pairs (_) H1,H2: 3.. / H1 = 3 => 10 pairs (_) / H2 = 3 => 9 pairs (_) G5,I5: 3.. / G5 = 3 => 11 pairs (_) / I5 = 3 => 11 pairs (_) G9,I9: 3.. / G9 = 3 => 11 pairs (_) / I9 = 3 => 11 pairs (_) C1,H1: 3.. / C1 = 3 => 9 pairs (_) / H1 = 3 => 10 pairs (_) C2,H2: 3.. / C2 = 3 => 10 pairs (_) / H2 = 3 => 9 pairs (_) G5,G9: 3.. / G5 = 3 => 11 pairs (_) / G9 = 3 => 11 pairs (_) I5,I9: 3.. / I5 = 3 => 11 pairs (_) / I9 = 3 => 11 pairs (_) D1,E1: 4.. / D1 = 4 => 0 pairs (*) / E1 = 4 => 0 pairs (X) G3,H3: 4.. / G3 = 4 => 12 pairs (_) / H3 = 4 => 11 pairs (_) G4,H4: 4.. / G4 = 4 => 11 pairs (_) / H4 = 4 => 12 pairs (_) C8,C9: 4.. / C8 = 4 => 13 pairs (_) / C9 = 4 => 13 pairs (_) C8,D8: 4.. / C8 = 4 => 13 pairs (_) / D8 = 4 => 13 pairs (_) E1,E9: 4.. / E1 = 4 => 12 pairs (_) / E9 = 4 => 0 pairs (*) G3,G4: 4.. / G3 = 4 => 12 pairs (_) / G4 = 4 => 11 pairs (_) H3,H4: 4.. / H3 = 4 => 11 pairs (_) / H4 = 4 => 12 pairs (_) D4,E4: 6.. / D4 = 6 => 11 pairs (_) / E4 = 6 => 10 pairs (_) B8,B9: 6.. / B8 = 6 => 12 pairs (_) / B9 = 6 => 10 pairs (_) G7,G9: 6.. / G7 = 6 => 12 pairs (_) / G9 = 6 => 13 pairs (_) B8,D8: 6.. / B8 = 6 => 12 pairs (_) / D8 = 6 => 10 pairs (_) C1,C2: 7.. / C1 = 7 => 10 pairs (_) / C2 = 7 => 9 pairs (_) H8,I8: 7.. / H8 = 7 => 11 pairs (_) / I8 = 7 => 13 pairs (_) I4,I8: 7.. / I4 = 7 => 11 pairs (_) / I8 = 7 => 13 pairs (_) D4,E4: 9.. / D4 = 9 => 10 pairs (_) / E4 = 9 => 11 pairs (_) A8,A9: 9.. / A8 = 9 => 12 pairs (_) / A9 = 9 => 12 pairs (_) A8,D8: 9.. / A8 = 9 => 12 pairs (_) / D8 = 9 => 12 pairs (_) E4,E9: 9.. / E4 = 9 => 11 pairs (_) / E9 = 9 => 10 pairs (_) * DURATION: 0:00:11.865347 START: 06:55:29.666770 END: 06:55:41.532117 2025-04-05 * CP COUNT: (33) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A8,B8,C1,C2,C8,D4,E4,F8,G7,H8,I9) * .2...6..94....9..669.37....23.......7.9.24.6..467.392.372....94....3.8.......7.5. * PAIR C1: 3,7 ROW 1 H1: 3,7,1,8 # reduction candidate for 3,7 H1: 3,7 # 13 pairs H1: 1,8 # 10 pairs * PAIR C2: 3,7 ROW 2 H2: 3,7,1,8 # reduction candidate for 3,7 H2: 3,7 # 12 pairs H2: 1,8 # 12 pairs * PAIR D4: 6,9 COL D D8: 6,9,4 # reduction candidate for 6,9 D8: 6,9 # 13 pairs D9: 6,9,2,4 # reduction candidate for 6,9 D9: 6,9 # 14 pairs * PAIR E4: 6,9 COL E E9: 6,9,4 # reduction candidate for 6,9 E9: 4 => SOLVED * 123456789457189236698372541235698417719524368846713925372865194564931872981247653 E9: 6,9 # 12 pairs * PAIR F8: 1,2 ROW 8 I8: 1,2,7 # reduction candidate for 1,2 I8: 7 # 13 pairs I8: 1,2 # 11 pairs * PAIR F8: 1,2 COL F F3: 1,2,5,8 # reduction candidate for 1,2 F3: 1,2 # 14 pairs F3: 5,8 # 13 pairs * PAIR G7: 1,6 ROW 7 D7: 1,6,5,8 # reduction candidate for 1,6 D7: 1,6 # 15 pairs E7: 1,6,5,8 # reduction candidate for 1,6 E7: 1,6 # 14 pairs * PAIR H8: 1,7 BLK 9 I8: 1,7,2 # reduction candidate for 1,7 I8: 2 # 13 pairs I8: 1,7 # 12 pairs * PAIR H8: 1,7 COL H H1: 1,7,3,8 # reduction candidate for 1,7 H1: 1,7 # 13 pairs H2: 1,7,3,8 # reduction candidate for 1,7 H2: 1,7 # 14 pairs H4: 1,7,4,8 # reduction candidate for 1,7 H4: 1,7 # 14 pairs * PAIR I9: 2,3 BLK 9 G9: 2,3,6 # reduction candidate for 2,3 G9: 6 # 13 pairs G9: 2,3 # 12 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00119142-base-pr-000.dot * REASONING * PRF # E9: 4 => SOL * CNT 1 HDP CHAINS / 21 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A8,B8,C1,C2,C8,D4,E4,F8,G7,H8,I9) * .2...6..94....9..669.37....23.......7.9.24.6..467.392.372....94....3.8.......7.5. * PAIR C1: 3,7 ROW 1 H1: 3,7,1,8 # reduction candidate for 3,7 H1: 3,7 # 13 pairs H1: 1,8 # 10 pairs * PAIR C2: 3,7 ROW 2 H2: 3,7,1,8 # reduction candidate for 3,7 H2: 3,7 # 12 pairs H2: 1,8 # 12 pairs * PAIR D4: 6,9 COL D D8: 6,9,4 # reduction candidate for 6,9 D8: 6,9 # 13 pairs D9: 6,9,2,4 # reduction candidate for 6,9 D9: 6,9 # 14 pairs * PAIR E4: 6,9 COL E E9: 6,9,4 # reduction candidate for 6,9 E9: 4 => SOLVED * 123456789457189236698372541235698417719524368846713925372865194564931872981247653 * DURATION: 0:00:01.828006 START: 06:55:45.905500 END: 06:55:47.733506 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00119142-base-pr-001.dot * REASONING * PRF # E9: 4 => SOL * STA E9: 4 * CNT 1 HDP CHAINS / 8 HYP OPENED
Header Info
rating: 30929; r2: 645000; index: 119142
Solution
position: 123456789457189236698372541235698417719524368846713925372865194564931872981247653 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 # H1: 3,7 => UNS * INC # H1: 1,8 => UNS * INC # H2: 3,7 => UNS * INC # H2: 1,8 => UNS * INC # D8: 6,9 => UNS * INC # D9: 6,9 => UNS * INC # E9: 6,9 => UNS * PRF # E9: 4 => SOL * INC # I8: 1,2 => UNS * INC # I8: 7 => UNS * INC # F3: 1,2 => UNS * INC # F3: 5,8 => UNS * INC # D7: 1,6 => UNS * INC # E7: 1,6 => UNS * INC # I8: 1,7 => UNS * INC # I8: 2 => UNS * INC # H1: 1,7 => UNS * INC # H2: 1,7 => UNS * INC # H4: 1,7 => UNS * INC # G9: 2,3 => UNS * INC # G9: 6 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 3,7 => UNS * INC # H1: 1,8 => UNS * INC # H2: 3,7 => UNS * INC # H2: 1,8 => UNS * INC # D8: 6,9 => UNS * INC # D9: 6,9 => UNS * INC # E9: 6,9 => UNS * PRF # E9: 4 => SOL * STA E9: 4 * CNT 8 HDP CHAINS / 8 HYP OPENED