Analysis of zz-sudoku-de-787906-base.sdk
Contents
Original Sudoku
level: medium
position: 32.....75..93.21..6.......8..81.47..2.......1..57.96..1.......6..74.83..84.....17 initial
Autosolve
position: 32....97578935216465.9..238938164752276...49141572968319....84656741832984..9.517 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # F7: 3,5 => SOL * DIS # F7: 7 => CTR => F7: 3,5 * PRF # F7: 3,7 => SOL * DIS # F7: 5 => CTR => F7: 3,7 * CNT 4 HDP CHAINS / 4 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # F7: 3,5 => SOL * STA F7: 3,5 * CNT 1 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 32.....75..93.21..6.......8..81.47..2.......1..57.96..1.......6..74.83..84.....17 | initial |
| 32....97578935216465.9..238938164752276...49141572968319....84656741832984..9.517 | autosolve |
| 324681975789352164651947238938164752276835491415729683192573846567418329843296517 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (16) C1: 1,4 C3: 1,4 D1: 6,8 E1: 4,8 F1: 1,6 E3: 4,7 F3: 1,7 D5: 5,8 E5: 3,8 F5: 3,5 C7: 2,3 C9: 2,3 D7: 2,5 E7: 3,7 D9: 2,6 F9: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C3: 1.. / C1 = 1 => 0 pairs (X) / C3 = 1 => 0 pairs (_) F1,F3: 1.. / F1 = 1 => 0 pairs (*) / F3 = 1 => 0 pairs (X) C1,F1: 1.. / C1 = 1 => 0 pairs (X) / F1 = 1 => 0 pairs (_) C3,F3: 1.. / C3 = 1 => 0 pairs (*) / F3 = 1 => 0 pairs (X) C7,C9: 2.. / C7 = 2 => 0 pairs (*) / C9 = 2 => 0 pairs (X) D7,D9: 2.. / D7 = 2 => 0 pairs (X) / D9 = 2 => 0 pairs (_) C7,D7: 2.. / C7 = 2 => 0 pairs (*) / D7 = 2 => 0 pairs (X) C9,D9: 2.. / C9 = 2 => 0 pairs (X) / D9 = 2 => 0 pairs (_) E5,F5: 3.. / E5 = 3 => 0 pairs (*) / F5 = 3 => 0 pairs (X) C7,C9: 3.. / C7 = 3 => 0 pairs (X) / C9 = 3 => 0 pairs (_) C9,F9: 3.. / C9 = 3 => 0 pairs (*) / F9 = 3 => 0 pairs (X) E5,E7: 3.. / E5 = 3 => 0 pairs (*) / E7 = 3 => 0 pairs (X) C1,C3: 4.. / C1 = 4 => 0 pairs (*) / C3 = 4 => 0 pairs (X) E1,E3: 4.. / E1 = 4 => 0 pairs (X) / E3 = 4 => 0 pairs (_) C1,E1: 4.. / C1 = 4 => 0 pairs (*) / E1 = 4 => 0 pairs (X) C3,E3: 4.. / C3 = 4 => 0 pairs (X) / E3 = 4 => 0 pairs (_) D5,F5: 5.. / D5 = 5 => 0 pairs (X) / F5 = 5 => 0 pairs (_) D7,F7: 5.. / D7 = 5 => 0 pairs (*) / F7 = 5 => 0 pairs (X) D5,D7: 5.. / D5 = 5 => 0 pairs (X) / D7 = 5 => 0 pairs (_) F5,F7: 5.. / F5 = 5 => 0 pairs (*) / F7 = 5 => 0 pairs (X) D1,F1: 6.. / D1 = 6 => 0 pairs (*) / F1 = 6 => 0 pairs (X) D9,F9: 6.. / D9 = 6 => 0 pairs (X) / F9 = 6 => 0 pairs (_) D1,D9: 6.. / D1 = 6 => 0 pairs (*) / D9 = 6 => 0 pairs (X) F1,F9: 6.. / F1 = 6 => 0 pairs (X) / F9 = 6 => 0 pairs (_) E3,F3: 7.. / E3 = 7 => 0 pairs (X) / F3 = 7 => 0 pairs (_) E7,F7: 7.. / E7 = 7 => 0 pairs (*) / F7 = 7 => 0 pairs (X) E3,E7: 7.. / E3 = 7 => 0 pairs (X) / E7 = 7 => 0 pairs (_) F3,F7: 7.. / F3 = 7 => 0 pairs (*) / F7 = 7 => 0 pairs (X) D1,E1: 8.. / D1 = 8 => 0 pairs (X) / E1 = 8 => 0 pairs (_) D5,E5: 8.. / D5 = 8 => 0 pairs (*) / E5 = 8 => 0 pairs (X) D1,D5: 8.. / D1 = 8 => 0 pairs (X) / D5 = 8 => 0 pairs (_) E1,E5: 8.. / E1 = 8 => 0 pairs (*) / E5 = 8 => 0 pairs (X) * DURATION: 0:00:52.724705 START: 08:49:43.046008 END: 08:50:35.770713 2017-05-01 * CP COUNT: (32) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (C1,C3,C7,C9,D1,D5,D7,D9,E1,E3,E5,E7,F1,F3,F5,F9) * 32....97578935216465.9..238938164752276...49141572968319....84656741832984..9.517 * PAIR F5: 3,5 COL F F7: 3,5,7 # reduction candidate for 3,5 F7: 3,5 => SOLVED * 324681975789352164651947238938164752276835491415729683192573846567418329843296517 F7: 7 => CTR * 32....97578935216465.9..238938164752276..549141572968319.5.784656741832984.29.517 * PAIR E7: 3,7 BLK 8 F7: 3,7,5 # reduction candidate for 3,7 F7: 3,7 => SOLVED * 324681975789352164651947238938164752276835491415729683192573846567418329843296517 F7: 5 => CTR * 32....97578935216465.9.7238938164752276...49141572968319..7584656741832984..93517 * INCONCLUSIVE * SAVE PR GRAPH zz-sudoku-de-787906-base-pr-000.dot * REASONING * PRF # F7: 3,5 => SOL * DIS # F7: 7 => CTR => F7: 3,5 * PRF # F7: 3,7 => SOL * DIS # F7: 5 => CTR => F7: 3,7 * CNT 4 HDP CHAINS / 4 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (C1,C3,C7,C9,D1,D5,D7,D9,E1,E3,E5,E7,F1,F3,F5,F9) * 32....97578935216465.9..238938164752276...49141572968319....84656741832984..9.517 * PAIR F5: 3,5 COL F F7: 3,5,7 # reduction candidate for 3,5 F7: 3,5 => SOLVED * 324681975789352164651947238938164752276835491415729683192573846567418329843296517 * DURATION: 0:00:02.157297 START: 08:50:41.620761 END: 08:50:43.778058 2017-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-sudoku-de-787906-base-pr-001.dot * REASONING * PRF # F7: 3,5 => SOL * STA F7: 3,5 * CNT 1 HDP CHAINS / 1 HYP OPENED
Header Info
http://www.sudokus.de/787906.html sehr schwierig -------------------------------------------------- level: medium * PAIR REDUCTION .. * ROUND 1: 32....97578935216465.9..238938164752276...49141572968319....84656741832984..9.517 C1: 1,4 C3: 1,4 D1: 6,8 E1: 4,8 F1: 1,6 E3: 4,7 F3: 1,7 D5: 5,8 E5: 3,8 F5: 3,5 F7: 3,5,7 # reduction candidate for 3,5 F7: 3,5 => SOLVED * 324681975789352164651947238938164752276835491415729683192573846567418329843296517 * SOLVED! -------------------------------------------------- |:step:| 00 -------------------------------------------------- pair reduction * DISABLE VALUE:: F7 != 5 |:step:| 01 --------------------------------------------------
Solution
position: 324681975789352164651947238938164752276835491415729683192573846567418329843296517 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 # F7: 3,5 => SOL * DIS # F7: 7 => CTR => F7: 3,5 * PRF # F7: 3,7 => SOL * DIS # F7: 5 => CTR => F7: 3,7 * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* PRF # F7: 3,5 => SOL * STA F7: 3,5 * CNT 1 HDP CHAINS / 1 HYP OPENED