Analysis of xx-mith-te3-00113813-base.sdk
Contents
Original Sudoku
level: medium
position: ..34.6........923..9...7...2.5......31.9.5.2..892.1...5...9..18..8.1.59.9.1...3.2 initial
Autosolve
position: ..34.6........923..9...7...2.5......31.9.5.2..892.1.535...9..18..8.1.59.9.1...3.2 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # E1: 5,8 => 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 # E1: 5,8 => SOL * STA E1: 5,8 * CNT 1 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..34.6........923..9...7...2.5......31.9.5.2..892.1...5...9..18..8.1.59.9.1...3.2 | initial |
| ..34.6........923..9...7...2.5......31.9.5.2..892.1.535...9..18..8.1.59.9.1...3.2 | autosolve |
| 123456789457189236896327145275834961314965827689271453542793618738612594961548372 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (5) E2: 5,8 H1: 7,8 G4: 1,9 I4: 1,9 F9: 4,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 5 pairs (_) / D3 = 1 => 9 pairs (_) G4,I4: 1.. / G4 = 1 => 3 pairs (_) / I4 = 1 => 5 pairs (_) B1,C3: 2.. / B1 = 2 => 0 pairs (*) / C3 = 2 => 0 pairs (X) E1,E3: 2.. / E1 = 2 => 8 pairs (_) / E3 = 2 => 0 pairs (*) F7,F8: 2.. / F7 = 2 => 8 pairs (_) / F8 = 2 => 6 pairs (_) B1,E1: 2.. / B1 = 2 => 0 pairs (*) / E1 = 2 => 0 pairs (X) C3,E3: 2.. / C3 = 2 => 8 pairs (_) / E3 = 2 => 0 pairs (*) B8,F8: 2.. / B8 = 2 => 8 pairs (_) / F8 = 2 => 6 pairs (_) C3,C7: 2.. / C3 = 2 => 8 pairs (_) / C7 = 2 => 0 pairs (*) D3,E3: 3.. / D3 = 3 => 20 pairs (_) / E3 = 3 => 8 pairs (_) B7,B8: 3.. / B7 = 3 => 7 pairs (_) / B8 = 3 => 7 pairs (_) E3,E4: 3.. / E3 = 3 => 8 pairs (_) / E4 = 3 => 20 pairs (_) B1,B2: 5.. / B1 = 5 => 7 pairs (_) / B2 = 5 => 10 pairs (_) D9,E9: 5.. / D9 = 5 => 6 pairs (_) / E9 = 5 => 11 pairs (_) H4,G5: 8.. / H4 = 8 => 15 pairs (_) / G5 = 8 => 5 pairs (_) E5,G5: 8.. / E5 = 8 => 15 pairs (_) / G5 = 8 => 5 pairs (_) F4,F9: 8.. / F4 = 8 => 15 pairs (_) / F9 = 8 => 5 pairs (_) G1,I1: 9.. / G1 = 9 => 3 pairs (_) / I1 = 9 => 5 pairs (_) G4,I4: 9.. / G4 = 9 => 5 pairs (_) / I4 = 9 => 3 pairs (_) G1,G4: 9.. / G1 = 9 => 3 pairs (_) / G4 = 9 => 5 pairs (_) I1,I4: 9.. / I1 = 9 => 5 pairs (_) / I4 = 9 => 3 pairs (_) * DURATION: 0:00:06.131128 START: 04:11:56.618375 END: 04:12:02.749503 2025-04-05 * CP COUNT: (21) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E2,F9,G4,H1,I4) * ..34.6........923..9...7...2.5......31.9.5.2..892.1.535...9..18..8.1.59.9.1...3.2 * PAIR E2: 5,8 BLK 2 E1: 5,8,2 # reduction candidate for 5,8 E1: 5,8 => SOLVED * 123456789457189236896327145275834961314965827689271453542793618738612594961548372 E1: 2 # 8 pairs D2: 5,8,1 # reduction candidate for 5,8 D2: 5,8 # 9 pairs D3: 5,8,1,3 # reduction candidate for 5,8 D3: 5,8 # 9 pairs E3: 5,8,2,3 # reduction candidate for 5,8 E3: 5,8 # 19 pairs * PAIR E2: 5,8 COL E E9: 5,8,4,6,7 # reduction candidate for 5,8 E9: 5,8 # 11 pairs E9: 4,6,7 # 6 pairs * PAIR H1: 7,8 BLK 3 G1: 7,8,1,9 # reduction candidate for 7,8 G1: 7,8 # 7 pairs G1: 1,9 # 6 pairs * PAIR H1: 7,8 ROW 1 A1: 7,8,1 # reduction candidate for 7,8 A1: 7,8 # 10 pairs A1: 1 # 5 pairs * PAIR H1: 7,8 COL H H4: 7,8,4,6 # reduction candidate for 7,8 H4: 7,8 # 8 pairs H4: 4,6 # 6 pairs * PAIR G4: 1,9 COL G G1: 1,9,7,8 # reduction candidate for 1,9 G1: 7,8 # 7 pairs G1: 1,9 # 6 pairs * PAIR I4: 1,9 COL I I1: 1,9,5,7 # reduction candidate for 1,9 I1: 5,7 # 12 pairs I1: 1,9 # 8 pairs * PAIR F9: 4,8 BLK 8 E9: 4,8,5,6,7 # reduction candidate for 4,8 E9: 4,8 # 16 pairs E9: 5,6,7 # 6 pairs * PAIR F9: 4,8 COL F F4: 4,8,3 # reduction candidate for 4,8 F4: 4,8 # 15 pairs F4: 3 # 9 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00113813-base-pr-000.dot * REASONING * PRF # E1: 5,8 => SOL * CNT 1 HDP CHAINS / 21 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E2,F9,G4,H1,I4) * ..34.6........923..9...7...2.5......31.9.5.2..892.1.535...9..18..8.1.59.9.1...3.2 * PAIR E2: 5,8 BLK 2 E1: 5,8,2 # reduction candidate for 5,8 E1: 5,8 => SOLVED * 123456789457189236896327145275834961314965827689271453542793618738612594961548372 * DURATION: 0:00:00.488895 START: 04:12:06.177974 END: 04:12:06.666869 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00113813-base-pr-001.dot * REASONING * PRF # E1: 5,8 => SOL * STA E1: 5,8 * CNT 1 HDP CHAINS / 1 HYP OPENED
Header Info
rating: 28990; r2: 575065; index: 113813
Solution
position: 123456789457189236896327145275834961314965827689271453542793618738612594961548372 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 # E1: 5,8 => SOL * INC # E1: 2 => UNS * INC # D2: 5,8 => UNS * INC # D3: 5,8 => UNS * INC # E3: 5,8 => UNS * INC # E9: 5,8 => UNS * INC # E9: 4,6,7 => UNS * INC # G1: 7,8 => UNS * INC # G1: 1,9 => UNS * INC # A1: 7,8 => UNS * INC # A1: 1 => UNS * INC # H4: 7,8 => UNS * INC # H4: 4,6 => UNS * INC # G1: 1,9 => UNS * INC # G1: 7,8 => UNS * INC # I1: 1,9 => UNS * INC # I1: 5,7 => UNS * INC # E9: 4,8 => UNS * INC # E9: 5,6,7 => UNS * INC # F4: 4,8 => UNS * INC # F4: 3 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* PRF # E1: 5,8 => SOL * STA E1: 5,8 * CNT 1 HDP CHAINS / 1 HYP OPENED