Analysis of xx-HardestSudokusThread-00055-base.sdk
Contents
Original Sudoku
level: deep
position: 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 initial
Autosolve
position: 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for A8,B9: 8..:
* DIS # A8: 8 # B7: 1,7 => CTR => B7: 5 * DIS # A8: 8 + B7: 5 # B5: 1,7 => CTR => B5: 3,8,9 * PRF # A8: 8 + B7: 5 + B5: 3,8,9 # A5: 3,6 => SOL * STA # A8: 8 + B7: 5 + B5: 3,8,9 + A5: 3,6 * CNT 3 HDP CHAINS / 18 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
| 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 | initial |
| 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (4) G1: 1,2 I3: 1,2 A7: 2,4 C9: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,I3: 1.. / G1 = 1 => 4 pairs (_) / I3 = 1 => 4 pairs (_) G1,I3: 2.. / G1 = 2 => 4 pairs (_) / I3 = 2 => 4 pairs (_) A7,C9: 2.. / A7 = 2 => 4 pairs (_) / C9 = 2 => 4 pairs (_) B1,A2: 3.. / B1 = 3 => 5 pairs (_) / A2 = 3 => 6 pairs (_) I8,H9: 3.. / I8 = 3 => 5 pairs (_) / H9 = 3 => 6 pairs (_) D5,E6: 4.. / D5 = 4 => 4 pairs (_) / E6 = 4 => 4 pairs (_) A7,C9: 4.. / A7 = 4 => 4 pairs (_) / C9 = 4 => 4 pairs (_) G2,H3: 5.. / G2 = 5 => 5 pairs (_) / H3 = 5 => 5 pairs (_) B7,C8: 5.. / B7 = 5 => 6 pairs (_) / C8 = 5 => 6 pairs (_) F2,G2: 5.. / F2 = 5 => 5 pairs (_) / G2 = 5 => 5 pairs (_) C8,D8: 5.. / C8 = 5 => 6 pairs (_) / D8 = 5 => 6 pairs (_) B6,B7: 5.. / B6 = 5 => 6 pairs (_) / B7 = 5 => 6 pairs (_) H3,H4: 5.. / H3 = 5 => 5 pairs (_) / H4 = 5 => 5 pairs (_) H1,I2: 8.. / H1 = 8 => 5 pairs (_) / I2 = 8 => 5 pairs (_) A8,B9: 8.. / A8 = 8 => 6 pairs (_) / B9 = 8 => 6 pairs (_) C2,B3: 9.. / C2 = 9 => 6 pairs (_) / B3 = 9 => 5 pairs (_) H7,G8: 9.. / H7 = 9 => 6 pairs (_) / G8 = 9 => 5 pairs (_) * DURATION: 0:00:15.370629 START: 17:59:03.403442 END: 17:59:18.774071 2017-04-29 * CP COUNT: (17) -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A8,B9: 8.. / A8 = 8 ==> 0 pairs (*) / B9 = 8 => 0 pairs (X) * DURATION: 0:00:28.314687 START: 17:59:19.104253 END: 17:59:47.418940 2017-04-29 * REASONING A8,B9: 8.. * DIS # A8: 8 # B7: 1,7 => CTR => B7: 5 * DIS # A8: 8 + B7: 5 # B5: 1,7 => CTR => B5: 3,8,9 * PRF # A8: 8 + B7: 5 + B5: 3,8,9 # A5: 3,6 => SOL * STA # A8: 8 + B7: 5 + B5: 3,8,9 + A5: 3,6 * CNT 3 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
HardestSudokusThread-00055,m_b_metcalf,95107,97868,11.8,11.8,3.4,1305,798
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A8,B9: 8..:
* INC # A8: 8 # A5: 3,6 => UNS * INC # A8: 8 # A5: 1,2,7 => UNS * INC # A8: 8 # I6: 3,6 => UNS * INC # A8: 8 # I6: 4,8 => UNS * INC # A8: 8 # A2: 3,6 => UNS * INC # A8: 8 # A2: 4 => UNS * DIS # A8: 8 # B7: 1,7 => CTR => B7: 5 * INC # A8: 8 + B7: 5 # E9: 1,7 => UNS * INC # A8: 8 + B7: 5 # G9: 1,7 => UNS * INC # A8: 8 + B7: 5 # B1: 1,7 => UNS * INC # A8: 8 + B7: 5 # B3: 1,7 => UNS * DIS # A8: 8 + B7: 5 # B5: 1,7 => CTR => B5: 3,8,9 * INC # A8: 8 + B7: 5 + B5: 3,8,9 # E9: 1,7 => UNS * INC # A8: 8 + B7: 5 + B5: 3,8,9 # G9: 1,7 => UNS * INC # A8: 8 + B7: 5 + B5: 3,8,9 # B1: 1,7 => UNS * INC # A8: 8 + B7: 5 + B5: 3,8,9 # B3: 1,7 => UNS * PRF # A8: 8 + B7: 5 + B5: 3,8,9 # A5: 3,6 => SOL * STA # A8: 8 + B7: 5 + B5: 3,8,9 + A5: 3,6 * CNT 17 HDP CHAINS / 18 HYP OPENED