Analysis of xx-ph-00000542-859-base.sdk
Contents
Original Sudoku
level: deep
position: ...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... initial
Autosolve
position: ...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for I4,I5: 5..:
* DIS # I4: 5 # B4: 3,9 => CTR => B4: 6,7 * CNT 1 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for D7,D8: 9..:
* DIS # D8: 9 # A9: 7,8 => CTR => A9: 4,5,9 * DIS # D8: 9 + A9: 4,5,9 # B7: 2,7 => CTR => B7: 4,5,9 * CNT 2 HDP CHAINS / 16 HYP OPENED
List of important HDP chains detected for G4,H5: 8..:
* DIS # G4: 8 # F5: 2,7 => CTR => F5: 1,3,5,8 * PRF # G4: 8 + F5: 1,3,5,8 # G7: 4,9 => SOL * STA # G4: 8 + F5: 1,3,5,8 + G7: 4,9 * CNT 2 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
| ...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... | initial |
| ...4.67....7..9..6....7..5.2......1...4.9.6...8......33.......8..6.4.5...1.2..... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,I8: 1.. / G7 = 1 => 2 pairs (_) / I8 = 1 => 1 pairs (_) F4,F6: 4.. / F4 = 4 => 1 pairs (_) / F6 = 4 => 1 pairs (_) B7,A9: 4.. / B7 = 4 => 0 pairs (_) / A9 = 4 => 2 pairs (_) I4,I5: 5.. / I4 = 5 => 2 pairs (_) / I5 = 5 => 2 pairs (_) A3,B3: 6.. / A3 = 6 => 0 pairs (_) / B3 = 6 => 0 pairs (_) B4,A6: 6.. / B4 = 6 => 0 pairs (_) / A6 = 6 => 0 pairs (_) H7,H9: 6.. / H7 = 6 => 1 pairs (_) / H9 = 6 => 0 pairs (_) E9,H9: 6.. / E9 = 6 => 1 pairs (_) / H9 = 6 => 0 pairs (_) A3,A6: 6.. / A3 = 6 => 0 pairs (_) / A6 = 6 => 0 pairs (_) B3,B4: 6.. / B3 = 6 => 0 pairs (_) / B4 = 6 => 0 pairs (_) G4,H5: 8.. / G4 = 8 => 1 pairs (_) / H5 = 8 => 1 pairs (_) D7,D8: 9.. / D7 = 9 => 1 pairs (_) / D8 = 9 => 2 pairs (_) * DURATION: 0:00:08.445386 START: 02:32:44.728886 END: 02:32:53.174272 2020-11-19 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I4,I5: 5.. / I4 = 5 ==> 3 pairs (_) / I5 = 5 ==> 2 pairs (_) D7,D8: 9.. / D7 = 9 ==> 1 pairs (_) / D8 = 9 ==> 4 pairs (_) G7,I8: 1.. / G7 = 1 ==> 2 pairs (_) / I8 = 1 ==> 1 pairs (_) B7,A9: 4.. / B7 = 4 ==> 0 pairs (_) / A9 = 4 ==> 2 pairs (_) G4,H5: 8.. / G4 = 8 ==> 0 pairs (*) / H5 = 8 => 0 pairs (X) * DURATION: 0:01:01.471778 START: 02:32:53.175039 END: 02:33:54.646817 2020-11-19 * REASONING I4,I5: 5.. * DIS # I4: 5 # B4: 3,9 => CTR => B4: 6,7 * CNT 1 HDP CHAINS / 31 HYP OPENED * REASONING D7,D8: 9.. * DIS # D8: 9 # A9: 7,8 => CTR => A9: 4,5,9 * DIS # D8: 9 + A9: 4,5,9 # B7: 2,7 => CTR => B7: 4,5,9 * CNT 2 HDP CHAINS / 16 HYP OPENED * REASONING G4,H5: 8.. * DIS # G4: 8 # F5: 2,7 => CTR => F5: 1,3,5,8 * PRF # G4: 8 + F5: 1,3,5,8 # G7: 4,9 => SOL * STA # G4: 8 + F5: 1,3,5,8 + G7: 4,9 * CNT 2 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
542;859;elev;22;11.30;11.30;11.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,I5: 5..:
* DIS # I4: 5 # B4: 3,9 => CTR => B4: 6,7 * INC # I4: 5 + B4: 6,7 # C1: 3,9 => UNS * INC # I4: 5 + B4: 6,7 # C3: 3,9 => UNS * INC # I4: 5 + B4: 6,7 # H5: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # H6: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # F5: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # F5: 1,3,5,8 => UNS * INC # I4: 5 + B4: 6,7 # I8: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # I8: 1,9 => UNS * INC # I4: 5 + B4: 6,7 # A6: 6,7 => UNS * INC # I4: 5 + B4: 6,7 # A6: 1,5,9 => UNS * INC # I4: 5 + B4: 6,7 # D4: 6,7 => UNS * INC # I4: 5 + B4: 6,7 # D4: 3,8 => UNS * INC # I4: 5 + B4: 6,7 # C1: 3,9 => UNS * INC # I4: 5 + B4: 6,7 # C3: 3,9 => UNS * INC # I4: 5 + B4: 6,7 # H5: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # H6: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # F5: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # F5: 1,3,5,8 => UNS * INC # I4: 5 + B4: 6,7 # I8: 2,7 => UNS * INC # I4: 5 + B4: 6,7 # I8: 1,9 => UNS * INC # I4: 5 + B4: 6,7 => UNS * INC # I5: 5 # A6: 1,7 => UNS * INC # I5: 5 # A6: 5,6,9 => UNS * INC # I5: 5 # D5: 1,7 => UNS * INC # I5: 5 # F5: 1,7 => UNS * INC # I5: 5 # B4: 3,7 => UNS * INC # I5: 5 # B4: 5,6,9 => UNS * INC # I5: 5 # D5: 3,7 => UNS * INC # I5: 5 # F5: 3,7 => UNS * INC # I5: 5 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for D7,D8: 9..:
* DIS # D8: 9 # A9: 7,8 => CTR => A9: 4,5,9 * INC # D8: 9 + A9: 4,5,9 # F8: 7,8 => UNS * INC # D8: 9 + A9: 4,5,9 # F8: 1,3 => UNS * DIS # D8: 9 + A9: 4,5,9 # B7: 2,7 => CTR => B7: 4,5,9 * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # H1: 2,3 => UNS * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # H2: 2,3 => UNS * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # G7: 1,2 => UNS * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # G7: 4,9 => UNS * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # I1: 1,2 => UNS * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 # I3: 1,2 => UNS * INC # D8: 9 + A9: 4,5,9 + B7: 4,5,9 => UNS * INC # D7: 9 # B7: 2,5 => UNS * INC # D7: 9 # B7: 4,7 => UNS * INC # D7: 9 # C1: 2,5 => UNS * INC # D7: 9 # C1: 1,3,8,9 => UNS * INC # D7: 9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for G7,I8: 1..:
* INC # G7: 1 # D7: 5,6 => UNS * INC # G7: 1 # E9: 5,6 => UNS * INC # G7: 1 # E4: 5,6 => UNS * INC # G7: 1 # E6: 5,6 => UNS * INC # G7: 1 # D7: 5,7 => UNS * INC # G7: 1 # F9: 5,7 => UNS * INC # G7: 1 # B7: 5,7 => UNS * INC # G7: 1 # B7: 2,4,9 => UNS * INC # G7: 1 # F4: 5,7 => UNS * INC # G7: 1 # F5: 5,7 => UNS * INC # G7: 1 # F6: 5,7 => UNS * INC # G7: 1 => UNS * INC # I8: 1 # H1: 2,9 => UNS * INC # I8: 1 # G3: 2,9 => UNS * INC # I8: 1 # I3: 2,9 => UNS * INC # I8: 1 # B1: 2,9 => UNS * INC # I8: 1 # C1: 2,9 => UNS * INC # I8: 1 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for B7,A9: 4..:
* INC # A9: 4 # H8: 3,9 => UNS * INC # A9: 4 # H9: 3,9 => UNS * INC # A9: 4 # G3: 3,9 => UNS * INC # A9: 4 # G3: 1,2,4,8 => UNS * INC # A9: 4 # H7: 7,9 => UNS * INC # A9: 4 # H8: 7,9 => UNS * INC # A9: 4 # I8: 7,9 => UNS * INC # A9: 4 # H9: 7,9 => UNS * INC # A9: 4 # I4: 7,9 => UNS * INC # A9: 4 # I4: 4,5 => UNS * INC # A9: 4 => UNS * INC # B7: 4 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G4,H5: 8..:
* INC # G4: 8 # I5: 2,7 => UNS * INC # G4: 8 # H6: 2,7 => UNS * DIS # G4: 8 # F5: 2,7 => CTR => F5: 1,3,5,8 * INC # G4: 8 + F5: 1,3,5,8 # H7: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # H8: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # I5: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # I5: 5 => UNS * INC # G4: 8 + F5: 1,3,5,8 # H7: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # H8: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # I5: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # I5: 5 => UNS * INC # G4: 8 + F5: 1,3,5,8 # H7: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # H8: 2,7 => UNS * INC # G4: 8 + F5: 1,3,5,8 # I4: 4,9 => UNS * INC # G4: 8 + F5: 1,3,5,8 # H6: 4,9 => UNS * INC # G4: 8 + F5: 1,3,5,8 # G3: 4,9 => UNS * PRF # G4: 8 + F5: 1,3,5,8 # G7: 4,9 => SOL * STA # G4: 8 + F5: 1,3,5,8 + G7: 4,9 * CNT 17 HDP CHAINS / 18 HYP OPENED