Analysis of xx-top500-296-base.sdk
Contents
Original Sudoku
level: deep
position: 6..7.2.....5...8.............8.3.....3.....7........1272....4.....65....1........ initial
Autosolve
position: 6..7.2.....5...8.............8.3.....3.....78......31272....4.....65....15....... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for E6,E9: 7..:
* DIS # E9: 7 # B6: 4 => CTR => B6: 6,9 * DIS # E9: 7 + B6: 6,9 # I4: 6,9 => CTR => I4: 4 * PRF # E9: 7 + B6: 6,9 + I4: 4 # C8: 3,9 => SOL * STA # E9: 7 + B6: 6,9 + I4: 4 + C8: 3,9 * CNT 3 HDP CHAINS / 6 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
| 6..7.2.....5...8.............8.3.....3.....7........1272....4.....65....1........ | initial |
| 6..7.2.....5...8.............8.3.....3.....78......31272....4.....65....15....... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,C5: 1.. / B4 = 1 => 0 pairs (X) / C5 = 1 => 6 pairs (_) D9,E9: 2.. / D9 = 2 => 6 pairs (_) / E9 = 2 => 0 pairs (X) G8,H8: 2.. / G8 = 2 => 3 pairs (_) / H8 = 2 => 0 pairs (X) A2,H2: 2.. / A2 = 2 => 0 pairs (X) / H2 = 2 => 3 pairs (_) A4,D4: 2.. / A4 = 2 => 6 pairs (_) / D4 = 2 => 0 pairs (X) C3,C5: 2.. / C3 = 2 => 6 pairs (_) / C5 = 2 => 0 pairs (X) E5,E9: 2.. / E5 = 2 => 6 pairs (_) / E9 = 2 => 0 pairs (X) G3,G8: 2.. / G3 = 2 => 0 pairs (X) / G8 = 2 => 3 pairs (_) H4,I4: 4.. / H4 = 4 => 0 pairs (_) / I4 = 4 => 0 pairs (_) D3,F3: 5.. / D3 = 5 => 0 pairs (_) / F3 = 5 => 0 pairs (_) H7,I7: 5.. / H7 = 5 => 0 pairs (_) / I7 = 5 => 0 pairs (_) B4,B6: 6.. / B4 = 6 => 0 pairs (X) / B6 = 6 => 0 pairs (_) C7,C9: 6.. / C7 = 6 => 0 pairs (_) / C9 = 6 => 4 pairs (_) B2,I2: 7.. / B2 = 7 => 6 pairs (_) / I2 = 7 => 0 pairs (_) B4,F4: 7.. / B4 = 7 => 0 pairs (X) / F4 = 7 => 6 pairs (_) C3,C6: 7.. / C3 = 7 => 0 pairs (X) / C6 = 7 => 6 pairs (_) E6,E9: 7.. / E6 = 7 => 0 pairs (X) / E9 = 7 => 6 pairs (_) A8,B8: 8.. / A8 = 8 => 1 pairs (_) / B8 = 8 => 1 pairs (_) H7,H9: 8.. / H7 = 8 => 2 pairs (_) / H9 = 8 => 0 pairs (_) B1,E1: 8.. / B1 = 8 => 1 pairs (_) / E1 = 8 => 1 pairs (_) A3,A8: 8.. / A3 = 8 => 1 pairs (_) / A8 = 8 => 1 pairs (_) * DURATION: 0:00:23.678688 START: 13:05:23.880320 END: 13:05:47.559008 2017-05-04 * CP COUNT: (21) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E6,E9: 7.. / E6 = 7 => 0 pairs (X) / E9 = 7 ==> 0 pairs (*) * DURATION: 0:00:33.193830 START: 13:05:47.559640 END: 13:06:20.753470 2017-05-04 * REASONING E6,E9: 7.. * DIS # E9: 7 # B6: 4 => CTR => B6: 6,9 * DIS # E9: 7 + B6: 6,9 # I4: 6,9 => CTR => I4: 4 * PRF # E9: 7 + B6: 6,9 + I4: 4 # C8: 3,9 => SOL * STA # E9: 7 + B6: 6,9 + I4: 4 + C8: 3,9 * CNT 3 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
Top 500 Minimum 17 296 solution: 684792135975413826312865749298137564431526978567948312726389451843651297159274683 info: 2464 FNBHWXY S8.f 35215 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 E6,E9: 7..:
* INC # E9: 7 # B6: 6,9 => UNS * DIS # E9: 7 # B6: 4 => CTR => B6: 6,9 * DIS # E9: 7 + B6: 6,9 # I4: 6,9 => CTR => I4: 4 * INC # E9: 7 + B6: 6,9 + I4: 4 # A8: 3,9 => UNS * PRF # E9: 7 + B6: 6,9 + I4: 4 # C8: 3,9 => SOL * STA # E9: 7 + B6: 6,9 + I4: 4 + C8: 3,9 * CNT 5 HDP CHAINS / 6 HYP OPENED