Analysis of zz-www.sudokuwiki.org-0035-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=35
level: medium
position: .7.9.....4...3...8..5..1...6.....5.....792.....8.....7...4..1..8...7...4.1...9.2. initial
Autosolve
position: .7.9.....4...37..8.85..1...6.7...5.....792.....8.....7...42.1..8..17...4.14..9.2. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # D2: 2,6 => SOL * DIS # H5: 1,3 => CTR => H5: 4,6,8 * CNT 2 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 # D2: 2,6 => SOL * STA D2: 2,6 * CNT 1 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .7.9.....4...3...8..5..1...6.....5.....792.....8.....7...4..1..8...7...4.1...9.2. | initial |
| .7.9.....4...37..8.85..1...6.7...5.....792.....8.....7...42.1..8..17...4.14..9.2. | autosolve |
| 376958412491237658285641379627384591153792846948516237769423185832175964514869723 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (6) D3: 2,6 E3: 4,6 C5: 1,3 D4: 3,8 H7: 7,8 G9: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E4,E6: 1.. / E4 = 1 => 6 pairs (_) / E6 = 1 => 13 pairs (_) C2,H2: 1.. / C2 = 1 => 18 pairs (_) / H2 = 1 => 7 pairs (_) D2,D3: 2.. / D2 = 2 => 0 pairs (*) / D3 = 2 => 0 pairs (X) I4,G6: 2.. / I4 = 2 => 6 pairs (_) / G6 = 2 => 0 pairs (*) B8,C8: 2.. / B8 = 2 => 0 pairs (X) / C8 = 2 => 6 pairs (_) B4,I4: 2.. / B4 = 2 => 0 pairs (*) / I4 = 2 => 0 pairs (X) A5,B5: 5.. / A5 = 5 => 8 pairs (_) / B5 = 5 => 16 pairs (_) D2,H2: 5.. / D2 = 5 => 7 pairs (_) / H2 = 5 => 0 pairs (*) G3,H3: 7.. / G3 = 7 => 6 pairs (_) / H3 = 7 => 5 pairs (_) A7,A9: 7.. / A7 = 7 => 5 pairs (_) / A9 = 7 => 6 pairs (_) H7,G9: 7.. / H7 = 7 => 6 pairs (_) / G9 = 7 => 5 pairs (_) A7,H7: 7.. / A7 = 7 => 5 pairs (_) / H7 = 7 => 6 pairs (_) A9,G9: 7.. / A9 = 7 => 6 pairs (_) / G9 = 7 => 5 pairs (_) G3,G9: 7.. / G3 = 7 => 6 pairs (_) / G9 = 7 => 5 pairs (_) H3,H7: 7.. / H3 = 7 => 5 pairs (_) / H7 = 7 => 6 pairs (_) E1,F1: 8.. / E1 = 8 => 8 pairs (_) / F1 = 8 => 7 pairs (_) G5,H5: 8.. / G5 = 8 => 5 pairs (_) / H5 = 8 => 6 pairs (_) H7,G9: 8.. / H7 = 8 => 5 pairs (_) / G9 = 8 => 6 pairs (_) F7,H7: 8.. / F7 = 8 => 6 pairs (_) / H7 = 8 => 5 pairs (_) D4,D9: 8.. / D4 = 8 => 7 pairs (_) / D9 = 8 => 7 pairs (_) G5,G9: 8.. / G5 = 8 => 5 pairs (_) / G9 = 8 => 6 pairs (_) H5,H7: 8.. / H5 = 8 => 6 pairs (_) / H7 = 8 => 5 pairs (_) * DURATION: 0:00:30.832522 START: 04:06:47.502518 END: 04:07:18.335040 2017-05-01 * CP COUNT: (22) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (C5,D3,D4,E3,G9,H7) * .7.9.....4...37..8.85..1...6.7...5.....792.....8.....7...42.1..8..17...4.14..9.2. * PAIR D3: 2,6 BLK 2 D2: 2,6,5 # reduction candidate for 2,6 D2: 2,6 => SOLVED * 376958412491237658285641379627384591153792846948516237769423185832175964514869723 D2: 5 # 7 pairs * PAIR D3: 2,6 ROW 3 G3: 2,6,3,4,7,9 # reduction candidate for 2,6 G3: 2,6 # 8 pairs I3: 2,6,3,9 # reduction candidate for 2,6 I3: 2,6 # 8 pairs * PAIR E3: 4,6 BLK 2 E1: 4,6,5,8 # reduction candidate for 4,6 E1: 4,6 # 11 pairs F1: 4,6,5,8 # reduction candidate for 4,6 F1: 4,6 # 10 pairs * PAIR E3: 4,6 ROW 3 G3: 4,6,2,3,7,9 # reduction candidate for 4,6 G3: 4,6 # 8 pairs H3: 4,6,3,7,9 # reduction candidate for 4,6 H3: 4,6 # 9 pairs * PAIR E3: 4,6 COL E E6: 4,6,1,5 # reduction candidate for 4,6 E6: 4,6 # 9 pairs E6: 1,5 # 7 pairs * PAIR C5: 1,3 BLK 4 A5: 1,3,5 # reduction candidate for 1,3 A5: 1,3 # 16 pairs A6: 1,3,2,9 # reduction candidate for 1,3 A6: 1,3 # 13 pairs * PAIR C5: 1,3 ROW 5 H5: 1,3,4,6,8 # reduction candidate for 1,3 H5: 1,3 => CTR * 1739....24...37.18.85..1.7.627...5.1541792836938.1.2477..42.18.8.217...4314..9725 H5: 4,6,8 # 6 pairs I5: 1,3,6 # reduction candidate for 1,3 I5: 1,3 # 10 pairs * PAIR C5: 1,3 COL C C1: 1,3,2,6 # reduction candidate for 1,3 C1: 1,3 # 10 pairs C1: 2,6 # 9 pairs * PAIR D4: 3,8 BLK 5 F4: 3,8,4 # reduction candidate for 3,8 F4: 3,8 # 10 pairs F4: 4 # 7 pairs * PAIR D4: 3,8 COL D D9: 3,8,5,6 # reduction candidate for 3,8 D9: 5,6 # 9 pairs D9: 3,8 # 8 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuwiki.org-0035-base-pr-000.dot * REASONING * PRF # D2: 2,6 => SOL * DIS # H5: 1,3 => CTR => H5: 4,6,8 * CNT 2 HDP CHAINS / 21 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (C5,D3,D4,E3,G9,H7) * .7.9.....4...37..8.85..1...6.7...5.....792.....8.....7...42.1..8..17...4.14..9.2. * PAIR D3: 2,6 BLK 2 D2: 2,6,5 # reduction candidate for 2,6 D2: 2,6 => SOLVED * 376958412491237658285641379627384591153792846948516237769423185832175964514869723 * DURATION: 0:00:02.717915 START: 04:07:34.720344 END: 04:07:37.438259 2017-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuwiki.org-0035-base-pr-001.dot * REASONING * PRF # D2: 2,6 => SOL * STA D2: 2,6 * CNT 1 HDP CHAINS / 1 HYP OPENED
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=35
Solution
position: 376958412491237658285641379627384591153792846948516237769423185832175964514869723 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 # D2: 2,6 => SOL * INC # D2: 5 => UNS * INC # G3: 2,6 => UNS * INC # I3: 2,6 => UNS * INC # E1: 4,6 => UNS * INC # F1: 4,6 => UNS * INC # G3: 4,6 => UNS * INC # H3: 4,6 => UNS * INC # E6: 4,6 => UNS * INC # E6: 1,5 => UNS * INC # A5: 1,3 => UNS * INC # A6: 1,3 => UNS * DIS # H5: 1,3 => CTR => H5: 4,6,8 * INC # H5: 4,6,8 => UNS * INC # I5: 1,3 => UNS * INC # C1: 1,3 => UNS * INC # C1: 2,6 => UNS * INC # F4: 3,8 => UNS * INC # F4: 4 => UNS * INC # D9: 3,8 => UNS * INC # D9: 5,6 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* PRF # D2: 2,6 => SOL * STA D2: 2,6 * CNT 1 HDP CHAINS / 1 HYP OPENED