Analysis of xx-ph-00665223-12_12_19-base.sdk
Contents
Original Sudoku
level: deep
position: .....1..2....3...4...5..67...1..4....6.8..2..8...9......9.....358....7..7..2...8. initial
Autosolve
position: .....1..2....3...4...5..67...1..4....6.8..2..8...9......9.....358....7..7..2...8. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for I3,I4: 8..:
* DIS # I3: 8 # A3: 2,4 => CTR => A3: 1,3,9 * DIS # I3: 8 + A3: 1,3,9 # B3: 2,4 => CTR => B3: 1,3,9 * DIS # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # F2: 2,9 => CTR => F2: 6,7,8 * CNT 3 HDP CHAINS / 21 HYP OPENED
List of important HDP chains detected for G4,I4: 8..:
* DIS # G4: 8 # A3: 2,4 => CTR => A3: 1,3,9 * DIS # G4: 8 + A3: 1,3,9 # B3: 2,4 => CTR => B3: 1,3,9 * DIS # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # F2: 2,9 => CTR => F2: 6,7,8 * CNT 3 HDP CHAINS / 21 HYP OPENED
List of important HDP chains detected for E5,D6: 1..:
* DIS # E5: 1 # E7: 4,6 => CTR => E7: 5,7,8 * PRF # E5: 1 + E7: 5,7,8 # D8: 4,6 => SOL * STA # E5: 1 + E7: 5,7,8 + D8: 4,6 * CNT 2 HDP CHAINS / 4 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...4...5..67...1..4....6.8..2..8...9......9.....358....7..7..2...8. | initial |
| .....1..2....3...4...5..67...1..4....6.8..2..8...9......9.....358....7..7..2...8. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E5,D6: 1.. / E5 = 1 => 1 pairs (_) / D6 = 1 => 1 pairs (_) E4,F6: 2.. / E4 = 2 => 2 pairs (_) / F6 = 2 => 2 pairs (_) H7,H8: 2.. / H7 = 2 => 1 pairs (_) / H8 = 2 => 0 pairs (_) C8,H8: 2.. / C8 = 2 => 1 pairs (_) / H8 = 2 => 0 pairs (_) E3,E4: 2.. / E3 = 2 => 2 pairs (_) / E4 = 2 => 2 pairs (_) G1,H1: 3.. / G1 = 3 => 1 pairs (_) / H1 = 3 => 0 pairs (_) G4,I4: 8.. / G4 = 8 => 2 pairs (_) / I4 = 8 => 1 pairs (_) E7,F7: 8.. / E7 = 8 => 1 pairs (_) / F7 = 8 => 1 pairs (_) I3,I4: 8.. / I3 = 8 => 2 pairs (_) / I4 = 8 => 1 pairs (_) * DURATION: 0:00:06.259769 START: 00:50:25.739048 END: 00:50:31.998817 2020-10-22 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E3,E4: 2.. / E3 = 2 ==> 2 pairs (_) / E4 = 2 ==> 2 pairs (_) E4,F6: 2.. / E4 = 2 ==> 2 pairs (_) / F6 = 2 ==> 2 pairs (_) I3,I4: 8.. / I3 = 8 ==> 3 pairs (_) / I4 = 8 ==> 1 pairs (_) G4,I4: 8.. / G4 = 8 ==> 3 pairs (_) / I4 = 8 ==> 1 pairs (_) E7,F7: 8.. / E7 = 8 ==> 1 pairs (_) / F7 = 8 ==> 1 pairs (_) E5,D6: 1.. / E5 = 1 ==> 0 pairs (*) / D6 = 1 => 0 pairs (X) * DURATION: 0:00:56.254788 START: 00:50:31.999607 END: 00:51:28.254395 2020-10-22 * REASONING I3,I4: 8.. * DIS # I3: 8 # A3: 2,4 => CTR => A3: 1,3,9 * DIS # I3: 8 + A3: 1,3,9 # B3: 2,4 => CTR => B3: 1,3,9 * DIS # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # F2: 2,9 => CTR => F2: 6,7,8 * CNT 3 HDP CHAINS / 21 HYP OPENED * REASONING G4,I4: 8.. * DIS # G4: 8 # A3: 2,4 => CTR => A3: 1,3,9 * DIS # G4: 8 + A3: 1,3,9 # B3: 2,4 => CTR => B3: 1,3,9 * DIS # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # F2: 2,9 => CTR => F2: 6,7,8 * CNT 3 HDP CHAINS / 21 HYP OPENED * REASONING E5,D6: 1.. * DIS # E5: 1 # E7: 4,6 => CTR => E7: 5,7,8 * PRF # E5: 1 + E7: 5,7,8 # D8: 4,6 => SOL * STA # E5: 1 + E7: 5,7,8 + D8: 4,6 * CNT 2 HDP CHAINS / 4 HYP OPENED * DCP COUNT: (6) * SOLUTION FOUND
Header Info
665223;12_12_19;dob;22;11.40;11.40;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E3,E4: 2..:
* INC # E3: 2 # A2: 6,9 => UNS * INC # E3: 2 # A2: 1,2 => UNS * INC # E3: 2 # D1: 6,9 => UNS * INC # E3: 2 # D1: 4,7 => UNS * INC # E3: 2 # F2: 8,9 => UNS * INC # E3: 2 # F2: 6,7 => UNS * INC # E3: 2 # I3: 8,9 => UNS * INC # E3: 2 # I3: 1 => UNS * INC # E3: 2 => UNS * INC # E4: 2 # E1: 4,8 => UNS * INC # E4: 2 # E1: 6,7 => UNS * INC # E4: 2 # C3: 4,8 => UNS * INC # E4: 2 # C3: 2,3 => UNS * INC # E4: 2 # E7: 4,8 => UNS * INC # E4: 2 # E7: 1,5,6,7 => UNS * INC # E4: 2 # B4: 3,9 => UNS * INC # E4: 2 # A5: 3,9 => UNS * INC # E4: 2 # G4: 3,9 => UNS * INC # E4: 2 # H4: 3,9 => UNS * INC # E4: 2 # A3: 3,9 => UNS * INC # E4: 2 # A3: 1,2,4 => UNS * INC # E4: 2 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for E4,F6: 2..:
* INC # E4: 2 # E1: 4,8 => UNS * INC # E4: 2 # E1: 6,7 => UNS * INC # E4: 2 # C3: 4,8 => UNS * INC # E4: 2 # C3: 2,3 => UNS * INC # E4: 2 # E7: 4,8 => UNS * INC # E4: 2 # E7: 1,5,6,7 => UNS * INC # E4: 2 # B4: 3,9 => UNS * INC # E4: 2 # A5: 3,9 => UNS * INC # E4: 2 # G4: 3,9 => UNS * INC # E4: 2 # H4: 3,9 => UNS * INC # E4: 2 # A3: 3,9 => UNS * INC # E4: 2 # A3: 1,2,4 => UNS * INC # E4: 2 => UNS * INC # F6: 2 # A2: 6,9 => UNS * INC # F6: 2 # A2: 1,2 => UNS * INC # F6: 2 # D1: 6,9 => UNS * INC # F6: 2 # D1: 4,7 => UNS * INC # F6: 2 # F2: 8,9 => UNS * INC # F6: 2 # F2: 6,7 => UNS * INC # F6: 2 # I3: 8,9 => UNS * INC # F6: 2 # I3: 1 => UNS * INC # F6: 2 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for I3,I4: 8..:
* DIS # I3: 8 # A3: 2,4 => CTR => A3: 1,3,9 * DIS # I3: 8 + A3: 1,3,9 # B3: 2,4 => CTR => B3: 1,3,9 * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 2,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 2,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 3 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 2,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 3 => UNS * DIS # I3: 8 + A3: 1,3,9 + B3: 1,3,9 # F2: 2,9 => CTR => F2: 6,7,8 * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C5: 3,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C6: 3,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C8: 3,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C9: 3,4 => UNS * INC # I3: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 => UNS * INC # I4: 8 # G2: 1,9 => UNS * INC # I4: 8 # H2: 1,9 => UNS * INC # I4: 8 # A3: 1,9 => UNS * INC # I4: 8 # B3: 1,9 => UNS * INC # I4: 8 # I5: 1,9 => UNS * INC # I4: 8 # I8: 1,9 => UNS * INC # I4: 8 # I9: 1,9 => UNS * INC # I4: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for G4,I4: 8..:
* DIS # G4: 8 # A3: 2,4 => CTR => A3: 1,3,9 * DIS # G4: 8 + A3: 1,3,9 # B3: 2,4 => CTR => B3: 1,3,9 * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 2,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 2,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 3 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 2,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # C3: 3 => UNS * DIS # G4: 8 + A3: 1,3,9 + B3: 1,3,9 # F2: 2,9 => CTR => F2: 6,7,8 * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C5: 3,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C6: 3,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C8: 3,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 # C9: 3,4 => UNS * INC # G4: 8 + A3: 1,3,9 + B3: 1,3,9 + F2: 6,7,8 => UNS * INC # I4: 8 # G2: 1,9 => UNS * INC # I4: 8 # H2: 1,9 => UNS * INC # I4: 8 # A3: 1,9 => UNS * INC # I4: 8 # B3: 1,9 => UNS * INC # I4: 8 # I5: 1,9 => UNS * INC # I4: 8 # I8: 1,9 => UNS * INC # I4: 8 # I9: 1,9 => UNS * INC # I4: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for E7,F7: 8..:
* INC # E7: 8 # A3: 2,4 => UNS * INC # E7: 8 # B3: 2,4 => UNS * INC # E7: 8 # C3: 2,4 => UNS * INC # E7: 8 => UNS * INC # F7: 8 # F2: 2,9 => UNS * INC # F7: 8 # F2: 6,7 => UNS * INC # F7: 8 # A3: 2,9 => UNS * INC # F7: 8 # B3: 2,9 => UNS * INC # F7: 8 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E5,D6: 1..:
* INC # E5: 1 # D7: 4,6 => UNS * DIS # E5: 1 # E7: 4,6 => CTR => E7: 5,7,8 * PRF # E5: 1 + E7: 5,7,8 # D8: 4,6 => SOL * STA # E5: 1 + E7: 5,7,8 + D8: 4,6 * CNT 3 HDP CHAINS / 4 HYP OPENED