Analysis of xx-top500-390-base.sdk
Contents
Original Sudoku
level: medium
position: ...8....4.1..2.....92......3..6...87.......5.....9.......4..2..7....5.........1.. initial
Autosolve
position: ...8...24.1..2.....92......3..6...87.......5.....9.......4..2..7....5.........1.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # E1: 5,6 => SOL * DIS # A7: 5,6 => CTR => A7: 1,8,9 * PRF # C4: 4,9 => SOL * CNT 3 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # E1: 5,6 => SOL * STA E1: 5,6 * CNT 1 HDP CHAINS / 6 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...8....4.1..2.....92......3..6...87.......5.....9.......4..2..7....5.........1.. | initial |
| ...8...24.1..2.....92......3..6...87.......5.....9.......4..2..7....5.........1.. | autosolve |
| 573861924416927538892354761359612487281743659647598312165489273724135896938276145 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (2) A1: 5,6 G4: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,F1: 1.. / E1 = 1 => 3 pairs (_) / F1 = 1 => 0 pairs (*) H3,I3: 1.. / H3 = 1 => 5 pairs (_) / I3 = 1 => 3 pairs (_) H3,H6: 1.. / H3 = 1 => 5 pairs (_) / H6 = 1 => 3 pairs (_) I5,I6: 2.. / I5 = 2 => 3 pairs (_) / I6 = 2 => 2 pairs (_) B4,F4: 2.. / B4 = 2 => 0 pairs (X) / F4 = 2 => 3 pairs (_) B8,D8: 2.. / B8 = 2 => 3 pairs (_) / D8 = 2 => 0 pairs (X) E4,D6: 5.. / E4 = 5 => 3 pairs (_) / D6 = 5 => 4 pairs (_) I7,I9: 5.. / I7 = 5 => 2 pairs (_) / I9 = 5 => 2 pairs (_) H7,H9: 7.. / H7 = 7 => 2 pairs (_) / H9 = 7 => 2 pairs (_) F1,G1: 9.. / F1 = 9 => 3 pairs (_) / G1 = 9 => 0 pairs (*) C4,G4: 9.. / C4 = 9 => 0 pairs (*) / G4 = 9 => 0 pairs (X) * DURATION: 0:00:12.078768 START: 16:10:38.882759 END: 16:10:50.961527 2017-05-04 * CP COUNT: (11) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A1,G4) * ...8...24.1..2.....92......3..6...87.......5.....9.......4..2..7....5.........1.. * PAIR A1: 5,6 BLK 1 B1: 5,6,3,7 # reduction candidate for 5,6 B1: 5,6 # 7 pairs C1: 5,6,3,7 # reduction candidate for 5,6 C1: 5,6 # 7 pairs A2: 5,6,4,8 # reduction candidate for 5,6 A2: 5,6 # 7 pairs C2: 5,6,3,4,7,8 # reduction candidate for 5,6 C2: 5,6 # 7 pairs A3: 5,6,4,8 # reduction candidate for 5,6 A3: 5,6 # 7 pairs * PAIR A1: 5,6 ROW 1 E1: 5,6,1,3,7 # reduction candidate for 5,6 E1: 5,6 => SOLVED * 573861924416927538892354761359612487281743659647598312165489273724135896938276145 E1: 1,3,7 # 2 pairs G1: 5,6,3,7,9 # reduction candidate for 5,6 G1: 5,6 # 6 pairs * PAIR A1: 5,6 COL A A6: 5,6,1,2,4,8 # reduction candidate for 5,6 A6: 5,6 # 7 pairs A7: 5,6,1,8,9 # reduction candidate for 5,6 A7: 5,6 => CTR * ...8.1924.1.92.....92......3.9612487.......59...59...2..14..2..72.1.5.9.9..2..1.. A7: 1,8,9 # 2 pairs A9: 5,6,2,4,8,9 # reduction candidate for 5,6 A9: 5,6 # 8 pairs * PAIR G4: 4,9 BLK 6 G5: 4,9,3,6 # reduction candidate for 4,9 G5: 4,9 # 5 pairs G5: 3,6 # 3 pairs * PAIR G4: 4,9 ROW 4 C4: 4,9,1,5 # reduction candidate for 4,9 C4: 4,9 => SOLVED * 573861924416927538892354761359612487281743659647598312165489273724135896938276145 C4: 1,5 # 3 pairs * PAIR G4: 4,9 COL G G8: 4,9,3,6,8 # reduction candidate for 4,9 G8: 4,9 # 9 pairs G8: 3,6,8 # 2 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top500-390-base-pr-000.dot * REASONING * PRF # E1: 5,6 => SOL * DIS # A7: 5,6 => CTR => A7: 1,8,9 * PRF # C4: 4,9 => SOL * CNT 3 HDP CHAINS / 18 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A1,G4) * ...8...24.1..2.....92......3..6...87.......5.....9.......4..2..7....5.........1.. * PAIR A1: 5,6 BLK 1 B1: 5,6,3,7 # reduction candidate for 5,6 B1: 5,6 # 7 pairs C1: 5,6,3,7 # reduction candidate for 5,6 C1: 5,6 # 7 pairs A2: 5,6,4,8 # reduction candidate for 5,6 A2: 5,6 # 7 pairs C2: 5,6,3,4,7,8 # reduction candidate for 5,6 C2: 5,6 # 7 pairs A3: 5,6,4,8 # reduction candidate for 5,6 A3: 5,6 # 7 pairs * PAIR A1: 5,6 ROW 1 E1: 5,6,1,3,7 # reduction candidate for 5,6 E1: 5,6 => SOLVED * 573861924416927538892354761359612487281743659647598312165489273724135896938276145 * DURATION: 0:00:05.301416 START: 16:11:02.527331 END: 16:11:07.828747 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top500-390-base-pr-001.dot * REASONING * PRF # E1: 5,6 => SOL * STA E1: 5,6 * CNT 1 HDP CHAINS / 6 HYP OPENED
Header Info
Top 500 Minimum 17 390 solution: 573861924416927538892354761359612487281743659647598312165489273724135896938276145 info: 42526 FNBXYK S8.f 45949 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Solution
position: 573861924416927538892354761359612487281743659647598312165489273724135896938276145 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 # B1: 5,6 => UNS * INC # C1: 5,6 => UNS * INC # A2: 5,6 => UNS * INC # C2: 5,6 => UNS * INC # A3: 5,6 => UNS * PRF # E1: 5,6 => SOL * INC # E1: 1,3,7 => UNS * INC # G1: 5,6 => UNS * INC # A6: 5,6 => UNS * DIS # A7: 5,6 => CTR => A7: 1,8,9 * INC # A7: 1,8,9 => UNS * INC # A9: 5,6 => UNS * INC # G5: 4,9 => UNS * INC # G5: 3,6 => UNS * PRF # C4: 4,9 => SOL * INC # C4: 1,5 => UNS * INC # G8: 4,9 => UNS * INC # G8: 3,6,8 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B1: 5,6 => UNS * INC # C1: 5,6 => UNS * INC # A2: 5,6 => UNS * INC # C2: 5,6 => UNS * INC # A3: 5,6 => UNS * PRF # E1: 5,6 => SOL * STA E1: 5,6 * CNT 6 HDP CHAINS / 6 HYP OPENED