Analysis of xx-top500-409-base.sdk
Contents
Original Sudoku
level: deep
position: 3..1.7....2....8..............3...47.8..6...........1.1.7...3.....52....4........ initial
Autosolve
position: 3..1.7....2....8..............3...47.8..6...........181.7...3.....52....4.2...... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000014
List of important HDP chains detected for E4,F4: 8..:
* DIS # E4: 8 # I9: 6,9 => CTR => I9: 5 * DIS # E4: 8 + I9: 5 => CTR => E4: 1,5,9 * STA E4: 1,5,9 * CNT 2 HDP CHAINS / 5 HYP OPENED
List of important HDP chains detected for E6,E9: 7..:
* PRF # E6: 7 # C1: 6,9 => SOL * STA # E6: 7 + C1: 6,9 * CNT 1 HDP CHAINS / 2 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 3..1.7....2....8..............3...47.8..6...........1.1.7...3.....52....4........ | initial |
| 3..1.7....2....8..............3...47.8..6...........181.7...3.....52....4.2...... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C2,I2: 1.. / C2 = 1 => 10 pairs (_) / I2 = 1 => 0 pairs (_) C5,F5: 1.. / C5 = 1 => 0 pairs (X) / F5 = 1 => 10 pairs (_) B3,B4: 1.. / B3 = 1 => 0 pairs (X) / B4 = 1 => 10 pairs (_) E4,E9: 1.. / E4 = 1 => 0 pairs (X) / E9 = 1 => 10 pairs (_) D3,F3: 2.. / D3 = 2 => 1 pairs (_) / F3 = 2 => 0 pairs (_) H7,I7: 2.. / H7 = 2 => 0 pairs (_) / I7 = 2 => 0 pairs (_) B6,C6: 3.. / B6 = 3 => 0 pairs (X) / C6 = 3 => 0 pairs (_) H5,I5: 3.. / H5 = 3 => 0 pairs (_) / I5 = 3 => 0 pairs (_) C6,C8: 3.. / C6 = 3 => 0 pairs (_) / C8 = 3 => 0 pairs (X) B7,B9: 5.. / B7 = 5 => 0 pairs (_) / B9 = 5 => 4 pairs (_) G4,G6: 6.. / G4 = 6 => 1 pairs (_) / G6 = 6 => 0 pairs (_) D9,E9: 7.. / D9 = 7 => 10 pairs (_) / E9 = 7 => 0 pairs (X) G8,H8: 7.. / G8 = 7 => 3 pairs (_) / H8 = 7 => 0 pairs (X) A2,H2: 7.. / A2 = 7 => 0 pairs (X) / H2 = 7 => 3 pairs (_) A5,D5: 7.. / A5 = 7 => 10 pairs (_) / D5 = 7 => 0 pairs (X) B3,B6: 7.. / B3 = 7 => 10 pairs (_) / B6 = 7 => 0 pairs (X) E6,E9: 7.. / E6 = 7 => 10 pairs (_) / E9 = 7 => 0 pairs (X) G3,G8: 7.. / G3 = 7 => 0 pairs (X) / G8 = 7 => 3 pairs (_) E4,F4: 8.. / E4 = 8 => 17 pairs (_) / F4 = 8 => 0 pairs (_) A8,C8: 8.. / A8 = 8 => 0 pairs (_) / C8 = 8 => 2 pairs (_) H7,H9: 8.. / H7 = 8 => 3 pairs (_) / H9 = 8 => 0 pairs (_) C1,E1: 8.. / C1 = 8 => 0 pairs (_) / E1 = 8 => 1 pairs (_) A3,A8: 8.. / A3 = 8 => 2 pairs (_) / A8 = 8 => 0 pairs (_) * DURATION: 0:00:26.977759 START: 16:48:33.877635 END: 16:49:00.855394 2017-05-04 * CP COUNT: (23) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E4,F4: 8.. / E4 = 8 ==> 0 pairs (X) / F4 = 8 => 0 pairs (_) E6,E9: 7.. / E6 = 7 ==> 0 pairs (*) / E9 = 7 => 0 pairs (X) * DURATION: 0:00:36.850300 START: 16:49:00.856026 END: 16:49:37.706326 2017-05-04 * REASONING E4,F4: 8.. * DIS # E4: 8 # I9: 6,9 => CTR => I9: 5 * DIS # E4: 8 + I9: 5 => CTR => E4: 1,5,9 * STA E4: 1,5,9 * CNT 2 HDP CHAINS / 5 HYP OPENED * REASONING E6,E9: 7.. * PRF # E6: 7 # C1: 6,9 => SOL * STA # E6: 7 + C1: 6,9 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
Top 500 Minimum 17 409 solution: 396187452521649873874235196219358647785461239643972518157896324938524761462713985 info: 95000 FNBXYK S8.f 29329 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E4,F4: 8..:
* INC # E4: 8 # A4: 6,9 => UNS * INC # E4: 8 # A6: 6,9 => UNS * DIS # E4: 8 # I9: 6,9 => CTR => I9: 5 * DIS # E4: 8 + I9: 5 => CTR => E4: 1,5,9 * INC E4: 1,5,9 # F4: 8 => UNS * STA E4: 1,5,9 * CNT 5 HDP CHAINS / 5 HYP OPENED
Full list of HDP chains traversed for E6,E9: 7..:
* PRF # E6: 7 # C1: 6,9 => SOL * STA # E6: 7 + C1: 6,9 * CNT 1 HDP CHAINS / 2 HYP OPENED