Analysis of xx-ph-00000448-167-base.sdk
Original Sudoku
level: deep
position: ..34....9.5.......7....2.6.2...7.....95...4....85..3.....8..9.3.....1.......6..1. initial
Autosolve
position: ..34....9.5.....3.7....2.6.2...7.....95...4...785..3.....8..9.3.....1.......6..1. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:11.862328
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for H7,H8: 4..:
* DIS # H7: 4 # E8: 2,5 => CTR => E8: 3,4,9 * PRF # H7: 4 + E8: 3,4,9 # F9: 5,7 => SOL * STA # H7: 4 + E8: 3,4,9 + F9: 5,7 * CNT 2 HDP CHAINS / 5 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
| ..34....9.5.......7....2.6.2...7.....95...4....85..3.....8..9.3.....1.......6..1. | initial |
| ..34....9.5.....3.7....2.6.2...7.....95...4...785..3.....8..9.3.....1.......6..1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H6: 2,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,C2: 2.. / B1 = 2 => 1 pairs (_) / C2 = 2 => 1 pairs (_) D3,E3: 3.. / D3 = 3 => 1 pairs (_) / E3 = 3 => 2 pairs (_) B4,A5: 3.. / B4 = 3 => 2 pairs (_) / A5 = 3 => 2 pairs (_) I2,I3: 4.. / I2 = 4 => 1 pairs (_) / I3 = 4 => 3 pairs (_) H7,H8: 4.. / H7 = 4 => 3 pairs (_) / H8 = 4 => 1 pairs (_) G8,I8: 6.. / G8 = 6 => 1 pairs (_) / I8 = 6 => 6 pairs (_) G4,G8: 6.. / G4 = 6 => 6 pairs (_) / G8 = 6 => 1 pairs (_) H5,I5: 7.. / H5 = 7 => 1 pairs (_) / I5 = 7 => 2 pairs (_) H4,H6: 9.. / H4 = 9 => 2 pairs (_) / H6 = 9 => 2 pairs (_) * DURATION: 0:00:05.824889 START: 19:22:06.555237 END: 19:22:12.380126 2020-10-25 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G4,G8: 6.. / G4 = 6 ==> 6 pairs (_) / G8 = 6 ==> 1 pairs (_) G8,I8: 6.. / G8 = 6 ==> 1 pairs (_) / I8 = 6 ==> 6 pairs (_) H7,H8: 4.. / H7 = 4 ==> 0 pairs (*) / H8 = 4 => 0 pairs (X) * DURATION: 0:00:31.983586 START: 19:22:26.219831 END: 19:22:58.203417 2020-10-25 * REASONING H7,H8: 4.. * DIS # H7: 4 # E8: 2,5 => CTR => E8: 3,4,9 * PRF # H7: 4 + E8: 3,4,9 # F9: 5,7 => SOL * STA # H7: 4 + E8: 3,4,9 + F9: 5,7 * CNT 2 HDP CHAINS / 5 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
448;167;elev;21;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # E6: 2,9 => UNS * INC # E6: 1,4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E6: 2,9 => UNS * INC # E6: 1,4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E6: 2,9 => UNS * INC # E6: 1,4 => UNS * INC # E6: 2,9 # E8: 2,9 => UNS * INC # E6: 2,9 # E8: 3,4,5 => UNS * INC # E6: 2,9 # F4: 4,6 => UNS * INC # E6: 2,9 # F4: 3,8,9 => UNS * INC # E6: 2,9 # A6: 4,6 => UNS * INC # E6: 2,9 # A6: 1 => UNS * INC # E6: 2,9 # G4: 1,6 => UNS * INC # E6: 2,9 # I4: 1,6 => UNS * INC # E6: 2,9 # I5: 1,6 => UNS * INC # E6: 2,9 # A6: 1,6 => UNS * INC # E6: 2,9 # A6: 4 => UNS * INC # E6: 2,9 # F9: 5,7 => UNS * INC # E6: 2,9 # F9: 3,9 => UNS * INC # E6: 2,9 # H7: 5,7 => UNS * INC # E6: 2,9 # H7: 2,4 => UNS * INC # E6: 2,9 # F1: 5,7 => UNS * INC # E6: 2,9 # F1: 6,8 => UNS * INC # E6: 2,9 => UNS * INC # E6: 1,4 # A6: 1,4 => UNS * INC # E6: 1,4 # A6: 6 => UNS * INC # E6: 1,4 # I5: 7,8 => UNS * INC # E6: 1,4 # I5: 1,6 => UNS * INC # E6: 1,4 # H1: 7,8 => UNS * INC # E6: 1,4 # H8: 7,8 => UNS * INC # E6: 1,4 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G4,G8: 6..:
* INC # G4: 6 # A2: 1,8 => UNS * INC # G4: 6 # B3: 1,8 => UNS * INC # G4: 6 # E1: 1,8 => UNS * INC # G4: 6 # G1: 1,8 => UNS * INC # G4: 6 # B7: 2,6 => UNS * INC # G4: 6 # B7: 1,4 => UNS * INC # G4: 6 # C7: 2,6 => UNS * INC # G4: 6 # C7: 1,4,7 => UNS * INC # G4: 6 # B4: 1,4 => UNS * INC # G4: 6 # A6: 1,4 => UNS * INC # G4: 6 # C3: 1,4 => UNS * INC # G4: 6 # C7: 1,4 => UNS * INC # G4: 6 # E6: 2,9 => UNS * INC # G4: 6 # E6: 1,4 => UNS * INC # G4: 6 # I5: 1,2 => UNS * INC # G4: 6 # I5: 7,8 => UNS * INC # G4: 6 # E6: 1,2 => UNS * INC # G4: 6 # E6: 4,9 => UNS * INC # G4: 6 => UNS * INC # G8: 6 # E6: 2,9 => UNS * INC # G8: 6 # E6: 1,4 => UNS * INC # G8: 6 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G8,I8: 6..:
* INC # I8: 6 # A2: 1,8 => UNS * INC # I8: 6 # B3: 1,8 => UNS * INC # I8: 6 # E1: 1,8 => UNS * INC # I8: 6 # G1: 1,8 => UNS * INC # I8: 6 # B7: 2,6 => UNS * INC # I8: 6 # B7: 1,4 => UNS * INC # I8: 6 # C7: 2,6 => UNS * INC # I8: 6 # C7: 1,4,7 => UNS * INC # I8: 6 # B4: 1,4 => UNS * INC # I8: 6 # A6: 1,4 => UNS * INC # I8: 6 # C3: 1,4 => UNS * INC # I8: 6 # C7: 1,4 => UNS * INC # I8: 6 # E6: 2,9 => UNS * INC # I8: 6 # E6: 1,4 => UNS * INC # I8: 6 # I5: 1,2 => UNS * INC # I8: 6 # I5: 7,8 => UNS * INC # I8: 6 # E6: 1,2 => UNS * INC # I8: 6 # E6: 4,9 => UNS * INC # I8: 6 => UNS * INC # G8: 6 # E6: 2,9 => UNS * INC # G8: 6 # E6: 1,4 => UNS * INC # G8: 6 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H7,H8: 4..:
* INC # H7: 4 # E6: 2,9 => UNS * INC # H7: 4 # E6: 1,4 => UNS * DIS # H7: 4 # E8: 2,5 => CTR => E8: 3,4,9 * PRF # H7: 4 + E8: 3,4,9 # F9: 5,7 => SOL * STA # H7: 4 + E8: 3,4,9 + F9: 5,7 * CNT 4 HDP CHAINS / 5 HYP OPENED