Analysis of zz-menneske-no-06911818-base.sdk
Contents
Sudoku from http://www.menneske.no/sudoku/utskrift.html?number=6911818
level: medium
position: ...48.....1.2..7..3....9.2.4.7..8.......3.......1..9.695............2.9......758. initial
Autosolve
position: ...48.....1.2..7..3....9.2.4.7..8.......3.......1..9.695............2.9......758. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # F1: 5,6 => CTR => F1: 1,3 * DIS # F2: 5,6 => CTR => F2: 3 * PRF # D3: 5,6 => SOL * DIS # D3: 7 => CTR => D3: 5,6 * DIS # E3: 5,6 => CTR => E3: 1,7 * DIS # A2: 5,6 => CTR => A2: 8 * DIS # C2: 5,6 => CTR => C2: 4,8,9 * DIS # E4: 5,6 => CTR => E4: 2,9 * PRF # E6: 4,5 => SOL * DIS # H6: 4,5 => CTR => H6: 3,7 * CNT 10 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:
* DIS # F1: 5,6 => CTR => F1: 1,3 * DIS F1: 1,3 # F2: 5,6 => CTR => F2: 3 * PRF F1: 1,3 + F2: 3 # D3: 5,6 => SOL * STA F1: 1,3 + F2: 3 + D3: 5,6 * CNT 3 HDP CHAINS / 3 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...48.....1.2..7..3....9.2.4.7..8.......3.......1..9.695............2.9......758. | initial |
| ...48.....1.2..7..3....9.2.4.7..8.......3.......1..9.695............2.9......758. | autosolve |
| 572481639819263754346579128467928315195736842238145976953814267781652493624397581 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (2) E2: 5,6 F6: 4,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,E3: 1.. / F1 = 1 => 6 pairs (_) / E3 = 1 => 0 pairs (X) A5,C5: 1.. / A5 = 1 => 3 pairs (_) / C5 = 1 => 2 pairs (_) F1,F7: 1.. / F1 = 1 => 6 pairs (_) / F7 = 1 => 0 pairs (X) E4,E6: 2.. / E4 = 2 => 21 pairs (_) / E6 = 2 => 0 pairs (X) F1,F2: 3.. / F1 = 3 => 0 pairs (X) / F2 = 3 => 2 pairs (_) D8,E8: 5.. / D8 = 5 => 4 pairs (_) / E8 = 5 => 7 pairs (_) A1,B1: 7.. / A1 = 7 => 2 pairs (_) / B1 = 7 => 2 pairs (_) D3,E3: 7.. / D3 = 7 => 0 pairs (X) / E3 = 7 => 0 pairs (_) D5,E6: 7.. / D5 = 7 => 0 pairs (*) / E6 = 7 => 0 pairs (X) A8,B8: 7.. / A8 = 7 => 2 pairs (_) / B8 = 7 => 2 pairs (_) H7,I7: 7.. / H7 = 7 => 0 pairs (X) / I7 = 7 => 2 pairs (_) E6,H6: 7.. / E6 = 7 => 0 pairs (X) / H6 = 7 => 0 pairs (_) A1,A8: 7.. / A1 = 7 => 2 pairs (_) / A8 = 7 => 2 pairs (_) B1,B8: 7.. / B1 = 7 => 2 pairs (_) / B8 = 7 => 2 pairs (_) D3,D5: 7.. / D3 = 7 => 0 pairs (X) / D5 = 7 => 0 pairs (_) E3,E6: 7.. / E3 = 7 => 0 pairs (*) / E6 = 7 => 0 pairs (X) I5,I7: 7.. / I5 = 7 => 0 pairs (X) / I7 = 7 => 2 pairs (_) G5,I5: 8.. / G5 = 8 => 2 pairs (_) / I5 = 8 => 4 pairs (_) D7,D8: 8.. / D7 = 8 => 2 pairs (_) / D8 = 8 => 8 pairs (_) C7,D7: 8.. / C7 = 8 => 8 pairs (_) / D7 = 8 => 2 pairs (_) G3,G5: 8.. / G3 = 8 => 4 pairs (_) / G5 = 8 => 2 pairs (_) I1,I2: 9.. / I1 = 9 => 2 pairs (_) / I2 = 9 => 5 pairs (_) D9,E9: 9.. / D9 = 9 => 0 pairs (X) / E9 = 9 => 3 pairs (_) C2,I2: 9.. / C2 = 9 => 2 pairs (_) / I2 = 9 => 5 pairs (_) E4,E9: 9.. / E4 = 9 => 0 pairs (X) / E9 = 9 => 3 pairs (_) * DURATION: 0:00:33.480882 START: 06:52:23.485180 END: 06:52:56.966062 2017-05-01 * CP COUNT: (25) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E2,F6) * ...48.....1.2..7..3....9.2.4.7..8.......3.......1..9.695............2.9......758. * PAIR E2: 5,6 BLK 2 F1: 5,6,1,3 # reduction candidate for 5,6 F1: 5,6 => CTR * ...486.1.81.25376.3467198254.7.28.5.....342782..1759469528.1.37...5.2.9....39758. F1: 1,3 # 3 pairs F2: 5,6,3 # reduction candidate for 5,6 F2: 5,6 => CTR * .724836198192567343467198254.7.28.......34.7.2..17594695.841.67...56249.624397581 F2: 3 # 2 pairs D3: 5,6,7 # reduction candidate for 5,6 D3: 5,6 => SOLVED * 572481639819263754346579128467928315195736842238145976953814267781652493624397581 D3: 7 => CTR * .7248...98192..7.43467.9.284.7.28..51.5.348722..17594695.84.2677..562493624397581 E3: 5,6,1,7 # reduction candidate for 5,6 E3: 5,6 => CTR * ...4813.9.192.37483..7.9.214.7.281.5....3..7....17.9.6953846217...512693...397584 E3: 1,7 # 3 pairs * PAIR E2: 5,6 ROW 2 A2: 5,6,8 # reduction candidate for 5,6 A2: 5,6 => CTR * ...48.....1.2.374.3...79.2.4.7..8......73..5....12497695......7.....2.9......758. A2: 8 # 4 pairs C2: 5,6,4,8,9 # reduction candidate for 5,6 C2: 5,6 => CTR * ...48....81.2.37493...79.2.4.7..8......73..5.5..12497695......7.....2.9......758. C2: 4,8,9 # 2 pairs H2: 5,6,3,4 # reduction candidate for 5,6 H2: 5,6 # 7 pairs * PAIR E2: 5,6 COL E E4: 5,6,2,9 # reduction candidate for 5,6 E4: 5,6 => CTR * ...481359819253764345679.2.4.7968..5.9.735.4.5..12497695.8.64.7...542693..439758. E4: 2,9 # 3 pairs E8: 5,6,1,4 # reduction candidate for 5,6 E8: 5,6 # 6 pairs * PAIR F6: 4,5 BLK 5 F5: 4,5,6 # reduction candidate for 4,5 F5: 4,5 # 8 pairs E6: 4,5,2,7 # reduction candidate for 4,5 E6: 4,5 => SOLVED * 572481639819263754346579128467928315195736842238145976953814267781652493624397581 E6: 2,7 # 4 pairs * PAIR F6: 4,5 ROW 6 H6: 4,5,3,7 # reduction candidate for 4,5 H6: 4,5 => CTR * .7248...98192..7.43467.9.284.7.28..51.5.348722..17594695.84.2677..562493624397581 H6: 3,7 # 4 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-menneske-no-06911818-base-pr-000.dot * REASONING * DIS # F1: 5,6 => CTR => F1: 1,3 * DIS # F2: 5,6 => CTR => F2: 3 * PRF # D3: 5,6 => SOL * DIS # D3: 7 => CTR => D3: 5,6 * DIS # E3: 5,6 => CTR => E3: 1,7 * DIS # A2: 5,6 => CTR => A2: 8 * DIS # C2: 5,6 => CTR => C2: 4,8,9 * DIS # E4: 5,6 => CTR => E4: 2,9 * PRF # E6: 4,5 => SOL * DIS # H6: 4,5 => CTR => H6: 3,7 * CNT 10 HDP CHAINS / 21 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E2,F6) * ...48.....1.2..7..3....9.2.4.7..8.......3.......1..9.695............2.9......758. * PAIR E2: 5,6 BLK 2 F1: 5,6,1,3 # reduction candidate for 5,6 F1: 5,6 => CTR * ...486.1.81.25376.3467198254.7.28.5.....342782..1759469528.1.37...5.2.9....39758. F2: 5,6,3 # reduction candidate for 5,6 F2: 5,6 => CTR * .724836198192567343467198254.7.28.......34.7.2..17594695.841.67...56249.624397581 D3: 5,6,7 # reduction candidate for 5,6 D3: 5,6 => SOLVED * 572481639819263754346579128467928315195736842238145976953814267781652493624397581 * DURATION: 0:00:05.173866 START: 06:53:13.528806 END: 06:53:18.702672 2017-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-menneske-no-06911818-base-pr-001.dot * REASONING * DIS # F1: 5,6 => CTR => F1: 1,3 * DIS F1: 1,3 # F2: 5,6 => CTR => F2: 3 * PRF F1: 1,3 + F2: 3 # D3: 5,6 => SOL * STA F1: 1,3 + F2: 3 + D3: 5,6 * CNT 3 HDP CHAINS / 3 HYP OPENED
Header Info
http://www.menneske.no/sudoku/utskrift.html?number=6911818 umulig
Solution
position: 572481639819263754346579128467928315195736842238145976953814267781652493624397581 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:
* DIS # F1: 5,6 => CTR => F1: 1,3 * INC # F1: 1,3 => UNS * DIS # F2: 5,6 => CTR => F2: 3 * INC # F2: 3 => UNS * PRF # D3: 5,6 => SOL * DIS # D3: 7 => CTR => D3: 5,6 * DIS # E3: 5,6 => CTR => E3: 1,7 * INC # E3: 1,7 => UNS * DIS # A2: 5,6 => CTR => A2: 8 * INC # A2: 8 => UNS * DIS # C2: 5,6 => CTR => C2: 4,8,9 * INC # C2: 4,8,9 => UNS * INC # H2: 5,6 => UNS * DIS # E4: 5,6 => CTR => E4: 2,9 * INC # E4: 2,9 => UNS * INC # E8: 5,6 => UNS * INC # F5: 4,5 => UNS * PRF # E6: 4,5 => SOL * INC # E6: 2,7 => UNS * DIS # H6: 4,5 => CTR => H6: 3,7 * INC # H6: 3,7 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # F1: 5,6 => CTR => F1: 1,3 * DIS F1: 1,3 # F2: 5,6 => CTR => F2: 3 * PRF F1: 1,3 + F2: 3 # D3: 5,6 => SOL * STA F1: 1,3 + F2: 3 + D3: 5,6 * CNT 3 HDP CHAINS / 3 HYP OPENED