Analysis of xx-top500-063-base.sdk
Contents
Original Sudoku
level: medium
position: ....5..8.6.....2...1..3....2..7..4..3.8..............1..5....3..4.6........1..... initial
Autosolve
position: ....513866.3...21..1..36...2.17..4.33.8514......3..8.1..5....3..4.6.3....3.1.5... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # E4: 8,9 => CTR => E4: 6 * DIS # E6: 6 => CTR => E6: 2,9 * CNT 2 HDP CHAINS / 8 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # E4: 8,9 => CTR => E4: 6 * PRF E4: 6 # C1: 2,7 => SOL * STA E4: 6 + C1: 2,7 * CNT 2 HDP CHAINS / 4 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....5..8.6.....2...1..3....2..7..4..3.8..............1..5....3..4.6........1..... | initial |
| ....513866.3...21..1..36...2.17..4.33.8514......3..8.1..5....3..4.6.3....3.1.5... | autosolve |
| 427951386653847219819236574291768453368514927574392861185479632742683195936125748 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (4) B2: 5,8 A3: 5,8 F4: 8,9 F6: 2,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,A8: 1.. / A7 = 1 => 0 pairs (*) / A8 = 1 => 0 pairs (X) G7,G8: 1.. / G7 = 1 => 0 pairs (X) / G8 = 1 => 0 pairs (_) A7,G7: 1.. / A7 = 1 => 0 pairs (*) / G7 = 1 => 0 pairs (X) A8,G8: 1.. / A8 = 1 => 0 pairs (X) / G8 = 1 => 0 pairs (_) D1,D3: 2.. / D1 = 2 => 0 pairs (X) / D3 = 2 => 0 pairs (_) E6,F6: 2.. / E6 = 2 => 0 pairs (X) / F6 = 2 => 4 pairs (_) H5,I5: 2.. / H5 = 2 => 6 pairs (_) / I5 = 2 => 4 pairs (_) C3,D3: 2.. / C3 = 2 => 0 pairs (X) / D3 = 2 => 0 pairs (_) B1,B7: 2.. / B1 = 2 => 0 pairs (*) / B7 = 2 => 0 pairs (X) F6,F7: 2.. / F6 = 2 => 4 pairs (_) / F7 = 2 => 0 pairs (X) A6,C6: 4.. / A6 = 4 => 0 pairs (X) / C6 = 4 => 0 pairs (_) A1,A6: 4.. / A1 = 4 => 0 pairs (*) / A6 = 4 => 0 pairs (X) H3,H9: 4.. / H3 = 4 => 7 pairs (_) / H9 = 4 => 6 pairs (_) B2,A3: 5.. / B2 = 5 => 0 pairs (*) / A3 = 5 => 0 pairs (X) H4,H6: 5.. / H4 = 5 => 5 pairs (_) / H6 = 5 => 0 pairs (X) G8,I8: 5.. / G8 = 5 => 0 pairs (X) / I8 = 5 => 0 pairs (_) B2,I2: 5.. / B2 = 5 => 0 pairs (*) / I2 = 5 => 0 pairs (X) B4,H4: 5.. / B4 = 5 => 0 pairs (X) / H4 = 5 => 5 pairs (_) A3,A6: 5.. / A3 = 5 => 0 pairs (X) / A6 = 5 => 0 pairs (_) G3,G8: 5.. / G3 = 5 => 0 pairs (*) / G8 = 5 => 0 pairs (X) E4,E6: 6.. / E4 = 6 => 8 pairs (_) / E6 = 6 => 0 pairs (X) B7,C9: 6.. / B7 = 6 => 0 pairs (X) / C9 = 6 => 0 pairs (_) B7,G7: 6.. / B7 = 6 => 0 pairs (X) / G7 = 6 => 0 pairs (_) C6,C9: 6.. / C6 = 6 => 0 pairs (X) / C9 = 6 => 0 pairs (_) E2,F2: 7.. / E2 = 7 => 6 pairs (_) / F2 = 7 => 4 pairs (_) F2,F7: 7.. / F2 = 7 => 4 pairs (_) / F7 = 7 => 6 pairs (_) B2,A3: 8.. / B2 = 8 => 0 pairs (X) / A3 = 8 => 0 pairs (_) E4,F4: 8.. / E4 = 8 => 0 pairs (X) / F4 = 8 => 5 pairs (_) A3,D3: 8.. / A3 = 8 => 0 pairs (*) / D3 = 8 => 0 pairs (X) B2,B7: 8.. / B2 = 8 => 0 pairs (X) / B7 = 8 => 0 pairs (_) * DURATION: 0:00:54.975890 START: 04:47:03.496497 END: 04:47:58.472387 2017-05-04 * CP COUNT: (30) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A3,B2,F4,F6) * ....513866.3...21..1..36...2.17..4.33.8514......3..8.1..5....3..4.6.3....3.1.5... * PAIR F4: 8,9 BLK 5 E4: 8,9,6 # reduction candidate for 8,9 E4: 8,9 => CTR * 4279513866538.721981..365..2.17..4533.8514.625.43628.1185.2.63..426831.5.361.5.28 E4: 6 # 8 pairs * PAIR F4: 8,9 COL F F2: 8,9,7 # reduction candidate for 8,9 F2: 8,9 # 6 pairs F7: 8,9,2,7 # reduction candidate for 8,9 F7: 8,9 # 5 pairs * PAIR F6: 2,9 BLK 5 E6: 2,9,6 # reduction candidate for 2,9 E6: 6 => CTR * 4279513866538.721981..365..2.17..4533.8514.625.43628.1185.2.63..426831.5.361.5.28 E6: 2,9 # 8 pairs * PAIR F6: 2,9 COL F F7: 2,9,7,8 # reduction candidate for 2,9 F7: 7,8 # 5 pairs F7: 2,9 # 5 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top500-063-base-pr-000.dot * REASONING * DIS # E4: 8,9 => CTR => E4: 6 * DIS # E6: 6 => CTR => E6: 2,9 * CNT 2 HDP CHAINS / 8 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A3,B2,F4,F6) * ....513866.3...21..1..36...2.17..4.33.8514......3..8.1..5....3..4.6.3....3.1.5... * PAIR F4: 8,9 BLK 5 E4: 8,9,6 # reduction candidate for 8,9 E4: 8,9 => CTR * 4279513866538.721981..365..2.17..4533.8514.625.43628.1185.2.63..426831.5.361.5.28 * PAIR F6: 2,9 COL F F7: 2,9,7 # reduction candidate for 2,9 F7: 7 # 12 pairs F7: 2,9 # 8 pairs * LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A3,B1,B2,B4,E6,F2,F6,H4) * ....513866.3...21..1..36...2.17684.33.8514......3..8.1..5....3..4.6.3....3.1.5... * PAIR B1: 2,7 BLK 1 C1: 2,7,4,9 # reduction candidate for 2,7 C1: 2,7 => SOLVED * 427951386653847219819236574291768453368514927574392861185479632742683195936125748 * DURATION: 0:00:06.719497 START: 04:48:06.414092 END: 04:48:13.133589 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top500-063-base-pr-001.dot * REASONING * DIS # E4: 8,9 => CTR => E4: 6 * PRF E4: 6 # C1: 2,7 => SOL * STA E4: 6 + C1: 2,7 * CNT 2 HDP CHAINS / 4 HYP OPENED
Header Info
Top 500 Minimum 17 063 solution: 427951386653847219819236574291768453368514927574392861185479632742683195936125748 info: 1440 FNBHXY S8.f 4779 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Solution
position: 427951386653847219819236574291768453368514927574392861185479632742683195936125748 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 # E4: 8,9 => CTR => E4: 6 * INC # E4: 6 => UNS * INC # F2: 8,9 => UNS * INC # F7: 8,9 => UNS * INC # E6: 2,9 => UNS * DIS # E6: 6 => CTR => E6: 2,9 * INC # F7: 2,9 => UNS * INC # F7: 7,8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # E4: 8,9 => CTR => E4: 6 * INC E4: 6 # F7: 2,9 => UNS * INC E4: 6 # F7: 7 => UNS * PRF E4: 6 # C1: 2,7 => SOL * STA E4: 6 + C1: 2,7 * CNT 4 HDP CHAINS / 4 HYP OPENED