Analysis of xx-top500-470-base.sdk
Contents
Original Sudoku
level: medium
position: .......38..4.7...........5.1..8.5....6.3.......7......32....7......4.6..5........ initial
Autosolve
position: .......38..4.7...........571..865.7446.3.7.....7......32....74.....4.6..54.7..... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B6: 3,9 => CTR => B6: 5,8 * DIS # G4: 3,9 => CTR => G4: 2 * PRF # B2: 3,9 => SOL * DIS # B2: 1,5,8 => CTR => B2: 3,9 * DIS # B3: 3,9 => CTR => B3: 1,8 * CNT 5 HDP CHAINS / 9 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B6: 3,9 => CTR => B6: 5,8 * DIS B6: 5,8 # C4: 2 => CTR => C4: 3,9 * PRF B6: 5,8 + C4: 3,9 # B2: 3,9 => SOL * STA B6: 5,8 + C4: 3,9 + B2: 3,9 * CNT 3 HDP CHAINS / 5 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .......38..4.7...........5.1..8.5....6.3.......7......32....7......4.6..5........ | initial |
| .......38..4.7...........571..865.7446.3.7.....7......32....74.....4.6..54.7..... | autosolve |
| 759612438834579126612438957193865274465327819287194563328956741971243685546781392 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B4: 3,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,G4: 2.. / C4 = 2 => 0 pairs (X) / G4 = 2 => 11 pairs (_) B2,F2: 3.. / B2 = 3 => 0 pairs (*) / F2 = 3 => 0 pairs (X) F8,I8: 3.. / F8 = 3 => 0 pairs (*) / I8 = 3 => 0 pairs (X) C3,C4: 3.. / C3 = 3 => 0 pairs (X) / C4 = 3 => 9 pairs (_) E3,E9: 3.. / E3 = 3 => 0 pairs (*) / E9 = 3 => 0 pairs (X) G1,G3: 4.. / G1 = 4 => 1 pairs (_) / G3 = 4 => 1 pairs (_) D6,F6: 4.. / D6 = 4 => 1 pairs (_) / F6 = 4 => 1 pairs (_) C5,B6: 5.. / C5 = 5 => 1 pairs (_) / B6 = 5 => 0 pairs (X) G5,G6: 5.. / G5 = 5 => 0 pairs (X) / G6 = 5 => 1 pairs (_) I7,I8: 5.. / I7 = 5 => 0 pairs (X) / I8 = 5 => 0 pairs (_) B2,D2: 5.. / B2 = 5 => 0 pairs (X) / D2 = 5 => 0 pairs (_) C5,G5: 5.. / C5 = 5 => 1 pairs (_) / G5 = 5 => 0 pairs (X) B6,G6: 5.. / B6 = 5 => 0 pairs (X) / G6 = 5 => 1 pairs (_) D8,I8: 5.. / D8 = 5 => 0 pairs (X) / I8 = 5 => 0 pairs (_) C1,C5: 5.. / C1 = 5 => 0 pairs (X) / C5 = 5 => 1 pairs (_) E1,E7: 5.. / E1 = 5 => 0 pairs (X) / E7 = 5 => 0 pairs (_) A1,A3: 6.. / A1 = 6 => 1 pairs (_) / A3 = 6 => 1 pairs (_) H2,I2: 6.. / H2 = 6 => 3 pairs (_) / I2 = 6 => 1 pairs (_) H6,I6: 6.. / H6 = 6 => 1 pairs (_) / I6 = 6 => 3 pairs (_) C7,C9: 6.. / C7 = 6 => 1 pairs (_) / C9 = 6 => 1 pairs (_) C9,F9: 6.. / C9 = 6 => 1 pairs (_) / F9 = 6 => 1 pairs (_) H2,H6: 6.. / H2 = 6 => 3 pairs (_) / H6 = 6 => 1 pairs (_) I2,I6: 6.. / I2 = 6 => 1 pairs (_) / I6 = 6 => 3 pairs (_) A1,B1: 7.. / A1 = 7 => 2 pairs (_) / B1 = 7 => 1 pairs (_) A8,B8: 7.. / A8 = 7 => 1 pairs (_) / B8 = 7 => 2 pairs (_) A1,A8: 7.. / A1 = 7 => 2 pairs (_) / A8 = 7 => 1 pairs (_) B1,B8: 7.. / B1 = 7 => 1 pairs (_) / B8 = 7 => 2 pairs (_) * DURATION: 0:00:37.782377 START: 18:45:33.275122 END: 18:46:11.057499 2017-05-04 * CP COUNT: (27) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B4) * .......38..4.7...........571..865.7446.3.7.....7......32....74.....4.6..54.7..... * PAIR B4: 3,9 BLK 4 C4: 3,9,2 # reduction candidate for 3,9 C4: 3,9 # 11 pairs B6: 3,9,5,8 # reduction candidate for 3,9 B6: 3,9 => CTR * .......38.84573.....3....571928653744653.7...837...5..32..5.74.....4.6.354.73.... B6: 5,8 # 5 pairs * PAIR B4: 3,9 ROW 4 G4: 3,9,2 # reduction candidate for 3,9 G4: 3,9 => CTR * ....5..38854.73.....3....571.28653744653.7...9.7...5..32....745...54.6.354.73.... G4: 2 # 11 pairs * PAIR B4: 3,9 COL B B2: 3,9,1,5,8 # reduction candidate for 3,9 B2: 3,9 => SOLVED * 759612438834579126612438957193865274465327819287194563328956741971243685546781392 B2: 1,5,8 => CTR * ....5..38854.73..........571..8653744653.7.....7...5..32....745...54.6.354.73.... B3: 3,9,1,8 # reduction candidate for 3,9 B3: 3,9 => CTR * ....5..38.54.73..........571..865.744653.7....87...3..32....745...54.6.354.73.... B3: 1,8 # 2 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top500-470-base-pr-000.dot * REASONING * DIS # B6: 3,9 => CTR => B6: 5,8 * DIS # G4: 3,9 => CTR => G4: 2 * PRF # B2: 3,9 => SOL * DIS # B2: 1,5,8 => CTR => B2: 3,9 * DIS # B3: 3,9 => CTR => B3: 1,8 * CNT 5 HDP CHAINS / 9 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B4) * .......38..4.7...........571..865.7446.3.7.....7......32....74.....4.6..54.7..... * PAIR B4: 3,9 BLK 4 C4: 3,9,2 # reduction candidate for 3,9 C4: 3,9 # 11 pairs B6: 3,9,5,8 # reduction candidate for 3,9 B6: 3,9 => CTR * .......38.84573.....3....571928653744653.7...837...5..32..5.74.....4.6.354.73.... * RESTART * PAIR B4: 3,9 BLK 4 C4: 3,9,2 # reduction candidate for 3,9 C4: 2 => CTR * ..5....38..4573.....3....5713286597446.3.75...57...3..32..5.74.....4.6.354.73.8.. * PAIR B4: 3,9 COL B B2: 3,9,1,5,8 # reduction candidate for 3,9 B2: 3,9 => SOLVED * 759612438834579126612438957193865274465327819287194563328956741971243685546781392 * DURATION: 0:00:06.430308 START: 18:46:18.673477 END: 18:46:25.103785 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top500-470-base-pr-001.dot * REASONING * DIS # B6: 3,9 => CTR => B6: 5,8 * DIS B6: 5,8 # C4: 2 => CTR => C4: 3,9 * PRF B6: 5,8 + C4: 3,9 # B2: 3,9 => SOL * STA B6: 5,8 + C4: 3,9 + B2: 3,9 * CNT 3 HDP CHAINS / 5 HYP OPENED
Header Info
Top 500 Minimum 17 470 solution: 759612438834579126612438957193865274465327819287194563328956741971243685546781392 info: 95640 FNBWYK S8.f 40847 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Solution
position: 759612438834579126612438957193865274465327819287194563328956741971243685546781392 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 # C4: 3,9 => UNS * DIS # B6: 3,9 => CTR => B6: 5,8 * INC # B6: 5,8 => UNS * DIS # G4: 3,9 => CTR => G4: 2 * INC # G4: 2 => UNS * PRF # B2: 3,9 => SOL * DIS # B2: 1,5,8 => CTR => B2: 3,9 * DIS # B3: 3,9 => CTR => B3: 1,8 * INC # B3: 1,8 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C4: 3,9 => UNS * DIS # B6: 3,9 => CTR => B6: 5,8 * INC B6: 5,8 # C4: 3,9 => UNS * DIS B6: 5,8 # C4: 2 => CTR => C4: 3,9 * PRF B6: 5,8 + C4: 3,9 # B2: 3,9 => SOL * STA B6: 5,8 + C4: 3,9 + B2: 3,9 * CNT 5 HDP CHAINS / 5 HYP OPENED