Analysis of xx-ph-00505620-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1....23.45..41..2....54...2..3...6...7...8......95....256..7.9..8........ initial
Autosolve
position: ........1....23.45..41..2....54...2..3...6...7...8......95....256..7.9..8........ autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for A1,A5: 2..:
* DIS # A5: 2 # F8: 1,8 => CTR => F8: 2,4 * CNT 1 HDP CHAINS / 65 HYP OPENED
List of important HDP chains detected for A4,C6: 6..:
* DIS # A4: 6 # A1: 3,9 => CTR => A1: 2 * DIS # A4: 6 + A1: 2 # C5: 1,2 => CTR => C5: 8 * DIS # A4: 6 + A1: 2 + C5: 8 # C9: 1,2 => CTR => C9: 3,7 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 # C8: 3 => CTR => C8: 1,2 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 # B2: 7,8 => CTR => B2: 1,9 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 # A5: 1,9 => CTR => A5: 4 * PRF # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 + A5: 4 # D2: 6,7 => SOL * STA # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 + A5: 4 + D2: 6,7 * CNT 7 HDP CHAINS / 22 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
| ........1....23.45..41..2....54...2..3...6...7...8......95....256..7.9..8........ | initial |
| ........1....23.45..41..2....54...2..3...6...7...8......95....256..7.9..8........ | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A5: 2.. / A1 = 2 => 0 pairs (_) / A5 = 2 => 7 pairs (_) E4,D6: 3.. / E4 = 3 => 1 pairs (_) / D6 = 3 => 2 pairs (_) E1,F1: 4.. / E1 = 4 => 0 pairs (_) / F1 = 4 => 1 pairs (_) A5,B6: 4.. / A5 = 4 => 1 pairs (_) / B6 = 4 => 2 pairs (_) F8,I8: 4.. / F8 = 4 => 2 pairs (_) / I8 = 4 => 0 pairs (_) A5,A7: 4.. / A5 = 4 => 1 pairs (_) / A7 = 4 => 2 pairs (_) B1,B3: 5.. / B1 = 5 => 0 pairs (_) / B3 = 5 => 3 pairs (_) E5,F6: 5.. / E5 = 5 => 1 pairs (_) / F6 = 5 => 2 pairs (_) G9,H9: 5.. / G9 = 5 => 0 pairs (_) / H9 = 5 => 0 pairs (_) A4,C6: 6.. / A4 = 6 => 3 pairs (_) / C6 = 6 => 1 pairs (_) F4,D5: 7.. / F4 = 7 => 1 pairs (_) / D5 = 7 => 2 pairs (_) B4,C5: 8.. / B4 = 8 => 1 pairs (_) / C5 = 8 => 1 pairs (_) * DURATION: 0:00:07.137377 START: 14:07:47.993095 END: 14:07:55.130472 2020-10-02 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A1,A5: 2.. / A1 = 2 ==> 0 pairs (_) / A5 = 2 ==> 8 pairs (_) A4,C6: 6.. / A4 = 6 ==> 0 pairs (*) / C6 = 6 => 0 pairs (X) * DURATION: 0:00:47.251765 START: 14:07:55.131285 END: 14:08:42.383050 2020-10-02 * REASONING A1,A5: 2.. * DIS # A5: 2 # F8: 1,8 => CTR => F8: 2,4 * CNT 1 HDP CHAINS / 65 HYP OPENED * REASONING A4,C6: 6.. * DIS # A4: 6 # A1: 3,9 => CTR => A1: 2 * DIS # A4: 6 + A1: 2 # C5: 1,2 => CTR => C5: 8 * DIS # A4: 6 + A1: 2 + C5: 8 # C9: 1,2 => CTR => C9: 3,7 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 # C8: 3 => CTR => C8: 1,2 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 # B2: 7,8 => CTR => B2: 1,9 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 # A5: 1,9 => CTR => A5: 4 * PRF # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 + A5: 4 # D2: 6,7 => SOL * STA # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 + A5: 4 + D2: 6,7 * CNT 7 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
505620;12_12_03;dob;23;11.50;11.50;9.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A1,A5: 2..:
* INC # A5: 2 # B4: 1,8 => UNS * INC # A5: 2 # B4: 9 => UNS * INC # A5: 2 # G5: 1,8 => UNS * INC # A5: 2 # H5: 1,8 => UNS * INC # A5: 2 # C2: 1,8 => UNS * INC # A5: 2 # C2: 6,7 => UNS * INC # A5: 2 # A4: 1,6 => UNS * INC # A5: 2 # A4: 9 => UNS * INC # A5: 2 # G6: 1,6 => UNS * INC # A5: 2 # H6: 1,6 => UNS * INC # A5: 2 # C2: 1,6 => UNS * INC # A5: 2 # C2: 7,8 => UNS * INC # A5: 2 # G4: 1,3 => UNS * INC # A5: 2 # G4: 6,7,8 => UNS * INC # A5: 2 # E7: 1,3 => UNS * INC # A5: 2 # E9: 1,3 => UNS * INC # A5: 2 # G4: 1,7 => UNS * INC # A5: 2 # G4: 3,6,8 => UNS * INC # A5: 2 # H5: 7,9 => UNS * INC # A5: 2 # I5: 7,9 => UNS * INC # A5: 2 # D1: 7,9 => UNS * INC # A5: 2 # D2: 7,9 => UNS * INC # A5: 2 # B9: 1,7 => UNS * INC # A5: 2 # C9: 1,7 => UNS * INC # A5: 2 # G7: 1,7 => UNS * INC # A5: 2 # H7: 1,7 => UNS * INC # A5: 2 # B2: 1,7 => UNS * INC # A5: 2 # B2: 8,9 => UNS * DIS # A5: 2 # F8: 1,8 => CTR => F8: 2,4 * INC # A5: 2 + F8: 2,4 # G7: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # H7: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # B4: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # B4: 9 => UNS * INC # A5: 2 + F8: 2,4 # G5: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # H5: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # C2: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # C2: 6,7 => UNS * INC # A5: 2 + F8: 2,4 # A4: 1,6 => UNS * INC # A5: 2 + F8: 2,4 # A4: 9 => UNS * INC # A5: 2 + F8: 2,4 # G6: 1,6 => UNS * INC # A5: 2 + F8: 2,4 # H6: 1,6 => UNS * INC # A5: 2 + F8: 2,4 # C2: 1,6 => UNS * INC # A5: 2 + F8: 2,4 # C2: 7,8 => UNS * INC # A5: 2 + F8: 2,4 # G4: 1,3 => UNS * INC # A5: 2 + F8: 2,4 # G4: 6,7,8 => UNS * INC # A5: 2 + F8: 2,4 # E7: 1,3 => UNS * INC # A5: 2 + F8: 2,4 # E9: 1,3 => UNS * INC # A5: 2 + F8: 2,4 # G4: 1,7 => UNS * INC # A5: 2 + F8: 2,4 # G4: 3,6,8 => UNS * INC # A5: 2 + F8: 2,4 # H5: 7,9 => UNS * INC # A5: 2 + F8: 2,4 # I5: 7,9 => UNS * INC # A5: 2 + F8: 2,4 # D1: 7,9 => UNS * INC # A5: 2 + F8: 2,4 # D2: 7,9 => UNS * INC # A5: 2 + F8: 2,4 # B9: 1,7 => UNS * INC # A5: 2 + F8: 2,4 # C9: 1,7 => UNS * INC # A5: 2 + F8: 2,4 # G7: 1,7 => UNS * INC # A5: 2 + F8: 2,4 # H7: 1,7 => UNS * INC # A5: 2 + F8: 2,4 # B2: 1,7 => UNS * INC # A5: 2 + F8: 2,4 # B2: 8,9 => UNS * INC # A5: 2 + F8: 2,4 # G7: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # H7: 1,8 => UNS * INC # A5: 2 + F8: 2,4 # F9: 2,4 => UNS * INC # A5: 2 + F8: 2,4 # F9: 1,9 => UNS * INC # A5: 2 + F8: 2,4 => UNS * INC # A1: 2 => UNS * CNT 65 HDP CHAINS / 65 HYP OPENED
Full list of HDP chains traversed for A4,C6: 6..:
* INC # A4: 6 # B2: 1,9 => UNS * INC # A4: 6 # B2: 7,8 => UNS * INC # A4: 6 # A5: 1,9 => UNS * INC # A4: 6 # A5: 2,4 => UNS * DIS # A4: 6 # A1: 3,9 => CTR => A1: 2 * INC # A4: 6 + A1: 2 # H3: 3,9 => UNS * INC # A4: 6 + A1: 2 # I3: 3,9 => UNS * DIS # A4: 6 + A1: 2 # C5: 1,2 => CTR => C5: 8 * INC # A4: 6 + A1: 2 + C5: 8 # B6: 1,2 => UNS * INC # A4: 6 + A1: 2 + C5: 8 # B6: 1,2 => UNS * INC # A4: 6 + A1: 2 + C5: 8 # B6: 4,9 => UNS * INC # A4: 6 + A1: 2 + C5: 8 # C8: 1,2 => UNS * DIS # A4: 6 + A1: 2 + C5: 8 # C9: 1,2 => CTR => C9: 3,7 * INC # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 # C8: 1,2 => UNS * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 # C8: 3 => CTR => C8: 1,2 * INC # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 # B6: 1,2 => UNS * INC # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 # B6: 4,9 => UNS * INC # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 # B2: 1,9 => UNS * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 # B2: 7,8 => CTR => B2: 1,9 * DIS # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 # A5: 1,9 => CTR => A5: 4 * PRF # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 + A5: 4 # D2: 6,7 => SOL * STA # A4: 6 + A1: 2 + C5: 8 + C9: 3,7 + C8: 1,2 + B2: 1,9 + A5: 4 + D2: 6,7 * CNT 21 HDP CHAINS / 22 HYP OPENED