Analysis of xx-ph-00248028-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1.....2..3..213..4......5.....362.4..67.8.......1.6...4.2...8.6.9......2. initial
Autosolve
position: ......2.1.....2..3..213..4.2....5.....362.4..67.8....2..126...4.2...8.6.9......2. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for I3,I4: 6..:
* DIS # I3: 6 # F5: 7,9 => CTR => F5: 1 * DIS # I3: 6 + F5: 1 # F7: 3 => CTR => F7: 7,9 * DIS # I3: 6 + F5: 1 + F7: 7,9 # B5: 5,8 => CTR => B5: 9 * DIS # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # A1: 5,8 => CTR => A1: 3,4,7 * PRF # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H4: 8,9 => SOL * STA # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 + H4: 8,9 * CNT 5 HDP CHAINS / 41 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.....2..3..213..4......5.....362.4..67.8.......1.6...4.2...8.6.9......2. | initial |
| ......2.1.....2..3..213..4.2....5.....362.4..67.8....2..126...4.2...8.6.9......2. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,B2: 1.. / A2 = 1 => 1 pairs (_) / B2 = 1 => 1 pairs (_) G8,G9: 1.. / G8 = 1 => 0 pairs (_) / G9 = 1 => 1 pairs (_) E8,G8: 1.. / E8 = 1 => 1 pairs (_) / G8 = 1 => 0 pairs (_) A2,A5: 1.. / A2 = 1 => 1 pairs (_) / A5 = 1 => 1 pairs (_) A1,B1: 3.. / A1 = 3 => 0 pairs (_) / B1 = 3 => 1 pairs (_) D4,F6: 3.. / D4 = 3 => 0 pairs (_) / F6 = 3 => 2 pairs (_) F1,F3: 6.. / F1 = 6 => 1 pairs (_) / F3 = 6 => 0 pairs (_) G4,I4: 6.. / G4 = 6 => 1 pairs (_) / I4 = 6 => 0 pairs (_) B9,C9: 6.. / B9 = 6 => 0 pairs (_) / C9 = 6 => 0 pairs (_) I3,I4: 6.. / I3 = 6 => 1 pairs (_) / I4 = 6 => 0 pairs (_) E1,E2: 8.. / E1 = 8 => 0 pairs (_) / E2 = 8 => 0 pairs (_) * DURATION: 0:00:07.182886 START: 12:42:06.849366 END: 12:42:14.032252 2020-10-01 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D4,F6: 3.. / D4 = 3 ==> 0 pairs (_) / F6 = 3 ==> 2 pairs (_) A2,A5: 1.. / A2 = 1 ==> 1 pairs (_) / A5 = 1 ==> 1 pairs (_) A2,B2: 1.. / A2 = 1 ==> 1 pairs (_) / B2 = 1 ==> 1 pairs (_) I3,I4: 6.. / I3 = 6 ==> 0 pairs (*) / I4 = 6 => 0 pairs (X) * DURATION: 0:00:52.293644 START: 12:42:14.032852 END: 12:43:06.326496 2020-10-01 * REASONING I3,I4: 6.. * DIS # I3: 6 # F5: 7,9 => CTR => F5: 1 * DIS # I3: 6 + F5: 1 # F7: 3 => CTR => F7: 7,9 * DIS # I3: 6 + F5: 1 + F7: 7,9 # B5: 5,8 => CTR => B5: 9 * DIS # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # A1: 5,8 => CTR => A1: 3,4,7 * PRF # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H4: 8,9 => SOL * STA # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 + H4: 8,9 * CNT 5 HDP CHAINS / 41 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
248028;12_12_03;dob;23;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D4,F6: 3..:
* INC # F6: 3 # H5: 5,9 => UNS * INC # F6: 3 # I5: 5,9 => UNS * INC # F6: 3 # H6: 5,9 => UNS * INC # F6: 3 # C6: 5,9 => UNS * INC # F6: 3 # C6: 4 => UNS * INC # F6: 3 # G2: 5,9 => UNS * INC # F6: 3 # G3: 5,9 => UNS * INC # F6: 3 # G7: 5,9 => UNS * INC # F6: 3 # G8: 5,9 => UNS * INC # F6: 3 # D8: 7,9 => UNS * INC # F6: 3 # E8: 7,9 => UNS * INC # F6: 3 # G7: 7,9 => UNS * INC # F6: 3 # H7: 7,9 => UNS * INC # F6: 3 # F1: 7,9 => UNS * INC # F6: 3 # F3: 7,9 => UNS * INC # F6: 3 # F5: 7,9 => UNS * INC # F6: 3 => UNS * INC # D4: 3 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A2,A5: 1..:
* INC # A2: 1 # B5: 5,8 => UNS * INC # A2: 1 # B5: 1,9 => UNS * INC # A2: 1 # H5: 5,8 => UNS * INC # A2: 1 # I5: 5,8 => UNS * INC # A2: 1 # A1: 5,8 => UNS * INC # A2: 1 # A3: 5,8 => UNS * INC # A2: 1 # A7: 5,8 => UNS * INC # A2: 1 => UNS * INC # A5: 1 # D4: 7,9 => UNS * INC # A5: 1 # E4: 7,9 => UNS * INC # A5: 1 # H5: 7,9 => UNS * INC # A5: 1 # I5: 7,9 => UNS * INC # A5: 1 # F1: 7,9 => UNS * INC # A5: 1 # F3: 7,9 => UNS * INC # A5: 1 # F7: 7,9 => UNS * INC # A5: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A2,B2: 1..:
* INC # A2: 1 # B5: 5,8 => UNS * INC # A2: 1 # B5: 1,9 => UNS * INC # A2: 1 # H5: 5,8 => UNS * INC # A2: 1 # I5: 5,8 => UNS * INC # A2: 1 # A1: 5,8 => UNS * INC # A2: 1 # A3: 5,8 => UNS * INC # A2: 1 # A7: 5,8 => UNS * INC # A2: 1 => UNS * INC # B2: 1 # D4: 7,9 => UNS * INC # B2: 1 # E4: 7,9 => UNS * INC # B2: 1 # H5: 7,9 => UNS * INC # B2: 1 # I5: 7,9 => UNS * INC # B2: 1 # F1: 7,9 => UNS * INC # B2: 1 # F3: 7,9 => UNS * INC # B2: 1 # F7: 7,9 => UNS * INC # B2: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for I3,I4: 6..:
* INC # I3: 6 # D1: 7,9 => UNS * INC # I3: 6 # E1: 7,9 => UNS * INC # I3: 6 # D2: 7,9 => UNS * INC # I3: 6 # E2: 7,9 => UNS * INC # I3: 6 # G3: 7,9 => UNS * INC # I3: 6 # G3: 5,8 => UNS * DIS # I3: 6 # F5: 7,9 => CTR => F5: 1 * INC # I3: 6 + F5: 1 # F7: 7,9 => UNS * INC # I3: 6 + F5: 1 # F7: 7,9 => UNS * DIS # I3: 6 + F5: 1 # F7: 3 => CTR => F7: 7,9 * INC # I3: 6 + F5: 1 + F7: 7,9 # D1: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # E1: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # D2: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # E2: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # D1: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # E1: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # D2: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # E2: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 7,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 # G3: 5,8 => UNS * DIS # I3: 6 + F5: 1 + F7: 7,9 # B5: 5,8 => CTR => B5: 9 * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # H5: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # I5: 5,8 => UNS * DIS # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 # A1: 5,8 => CTR => A1: 3,4,7 * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A3: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A7: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H5: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # I5: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A3: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # A7: 5,8 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # D4: 4,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E4: 4,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E1: 4,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E2: 4,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # E8: 4,9 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # D4: 3,4 => UNS * INC # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # D4: 7,9 => UNS * PRF # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 # H4: 8,9 => SOL * STA # I3: 6 + F5: 1 + F7: 7,9 + B5: 9 + A1: 3,4,7 + H4: 8,9 * CNT 40 HDP CHAINS / 41 HYP OPENED