Analysis of xx-ph-00000243-258-base.sdk
Contents
Original Sudoku
level: deep
position: .2.4.......7.8...6.....3.5...9.6...1.....23.....5...4...1...8..6...1...797....... initial
Autosolve
position: .2.4.......7.8...6.....3.5...9.6...1.....23.....5...4...1...8..6...1...797....... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for B2,B3: 9..:
* DIS # B2: 9 # D3: 1,2 => CTR => D3: 6,7,9 * DIS # B2: 9 + D3: 6,7,9 # F1: 1,5 => CTR => F1: 6,7,9 * DIS # B2: 9 + D3: 6,7,9 + F1: 6,7,9 # G3: 2,4 => CTR => G3: 1,7,9 * CNT 3 HDP CHAINS / 28 HYP OPENED
List of important HDP chains detected for G6,G9: 6..:
* DIS # G9: 6 # A4: 7,8 => CTR => A4: 2,3,4,5 * CNT 1 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for H5,G6: 6..:
* DIS # H5: 6 # A4: 7,8 => CTR => A4: 2,3,4,5 * CNT 1 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for G4,I5: 5..:
* PRF # G4: 5 # I1: 8,9 => SOL * STA # G4: 5 + I1: 8,9 * CNT 1 HDP CHAINS / 6 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
| .2.4.......7.8...6.....3.5...9.6...1.....23.....5...4...1...8..6...1...797....... | initial |
| .2.4.......7.8...6.....3.5...9.6...1.....23.....5...4...1...8..6...1...797....... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,F6: 1.. / D5 = 1 => 1 pairs (_) / F6 = 1 => 1 pairs (_) G9,H9: 1.. / G9 = 1 => 1 pairs (_) / H9 = 1 => 0 pairs (_) D4,E6: 3.. / D4 = 3 => 1 pairs (_) / E6 = 3 => 1 pairs (_) F4,E5: 4.. / F4 = 4 => 1 pairs (_) / E5 = 4 => 1 pairs (_) G4,I5: 5.. / G4 = 5 => 1 pairs (_) / I5 = 5 => 1 pairs (_) F1,D3: 6.. / F1 = 6 => 0 pairs (_) / D3 = 6 => 1 pairs (_) H5,G6: 6.. / H5 = 6 => 2 pairs (_) / G6 = 6 => 0 pairs (_) C1,F1: 6.. / C1 = 6 => 1 pairs (_) / F1 = 6 => 0 pairs (_) G6,G9: 6.. / G6 = 6 => 0 pairs (_) / G9 = 6 => 2 pairs (_) B2,B3: 9.. / B2 = 9 => 2 pairs (_) / B3 = 9 => 1 pairs (_) * DURATION: 0:00:06.248630 START: 18:29:00.172835 END: 18:29:06.421465 2020-10-16 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B2,B3: 9.. / B2 = 9 ==> 4 pairs (_) / B3 = 9 ==> 1 pairs (_) G6,G9: 6.. / G6 = 6 ==> 0 pairs (_) / G9 = 6 ==> 2 pairs (_) H5,G6: 6.. / H5 = 6 ==> 2 pairs (_) / G6 = 6 ==> 0 pairs (_) G4,I5: 5.. / G4 = 5 ==> 0 pairs (*) / I5 = 5 => 0 pairs (X) * DURATION: 0:00:33.528288 START: 18:29:06.422588 END: 18:29:39.950876 2020-10-16 * REASONING B2,B3: 9.. * DIS # B2: 9 # D3: 1,2 => CTR => D3: 6,7,9 * DIS # B2: 9 + D3: 6,7,9 # F1: 1,5 => CTR => F1: 6,7,9 * DIS # B2: 9 + D3: 6,7,9 + F1: 6,7,9 # G3: 2,4 => CTR => G3: 1,7,9 * CNT 3 HDP CHAINS / 28 HYP OPENED * REASONING G6,G9: 6.. * DIS # G9: 6 # A4: 7,8 => CTR => A4: 2,3,4,5 * CNT 1 HDP CHAINS / 9 HYP OPENED * REASONING H5,G6: 6.. * DIS # H5: 6 # A4: 7,8 => CTR => A4: 2,3,4,5 * CNT 1 HDP CHAINS / 9 HYP OPENED * REASONING G4,I5: 5.. * PRF # G4: 5 # I1: 8,9 => SOL * STA # G4: 5 + I1: 8,9 * CNT 1 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
243;258;elev;21;11.40;11.40;11.30
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B2,B3: 9..:
* DIS # B2: 9 # D3: 1,2 => CTR => D3: 6,7,9 * INC # B2: 9 + D3: 6,7,9 # G2: 1,2 => UNS * INC # B2: 9 + D3: 6,7,9 # H2: 1,2 => UNS * DIS # B2: 9 + D3: 6,7,9 # F1: 1,5 => CTR => F1: 6,7,9 * DIS # B2: 9 + D3: 6,7,9 + F1: 6,7,9 # G3: 2,4 => CTR => G3: 1,7,9 * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # I3: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # I3: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # I3: 8,9 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # G8: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # G9: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # H7: 2,3 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # H8: 2,3 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # H9: 2,3 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # I3: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # I3: 8,9 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # G8: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # G9: 2,4 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # H7: 2,3 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # H8: 2,3 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 # H9: 2,3 => UNS * INC # B2: 9 + D3: 6,7,9 + F1: 6,7,9 + G3: 1,7,9 => UNS * INC # B3: 9 # D3: 2,7 => UNS * INC # B3: 9 # D3: 1,6 => UNS * INC # B3: 9 # G3: 2,7 => UNS * INC # B3: 9 # G3: 1,4 => UNS * INC # B3: 9 # E7: 2,7 => UNS * INC # B3: 9 # E7: 3,4,5,9 => UNS * INC # B3: 9 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for G6,G9: 6..:
* DIS # G9: 6 # A4: 7,8 => CTR => A4: 2,3,4,5 * INC # G9: 6 + A4: 2,3,4,5 # D4: 7,8 => UNS * INC # G9: 6 + A4: 2,3,4,5 # F4: 7,8 => UNS * INC # G9: 6 + A4: 2,3,4,5 # D4: 7,8 => UNS * INC # G9: 6 + A4: 2,3,4,5 # F4: 7,8 => UNS * INC # G9: 6 + A4: 2,3,4,5 # D4: 7,8 => UNS * INC # G9: 6 + A4: 2,3,4,5 # F4: 7,8 => UNS * INC # G9: 6 + A4: 2,3,4,5 => UNS * INC # G6: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H5,G6: 6..:
* DIS # H5: 6 # A4: 7,8 => CTR => A4: 2,3,4,5 * INC # H5: 6 + A4: 2,3,4,5 # D4: 7,8 => UNS * INC # H5: 6 + A4: 2,3,4,5 # F4: 7,8 => UNS * INC # H5: 6 + A4: 2,3,4,5 # D4: 7,8 => UNS * INC # H5: 6 + A4: 2,3,4,5 # F4: 7,8 => UNS * INC # H5: 6 + A4: 2,3,4,5 # D4: 7,8 => UNS * INC # H5: 6 + A4: 2,3,4,5 # F4: 7,8 => UNS * INC # H5: 6 + A4: 2,3,4,5 => UNS * INC # G6: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for G4,I5: 5..:
* INC # G4: 5 # H5: 8,9 => UNS * INC # G4: 5 # I6: 8,9 => UNS * INC # G4: 5 # D5: 8,9 => UNS * INC # G4: 5 # D5: 1,7 => UNS * PRF # G4: 5 # I1: 8,9 => SOL * STA # G4: 5 + I1: 8,9 * CNT 5 HDP CHAINS / 6 HYP OPENED