Analysis of xx-ph-01684027-2015_08-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 initial
Autosolve
position: 98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for E2,E5: 6..:
* DIS # E5: 6 # E1: 1,3 => CTR => E1: 5 * DIS # E5: 6 + E1: 5 # G4: 1,7 => CTR => G4: 2,5 * DIS # E5: 6 + E1: 5 + G4: 2,5 # G5: 2 => CTR => G5: 1,7 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # A8: 1,3 => CTR => A8: 2 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 # B8: 1,3 => CTR => B8: 4,7 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 4 => CTR => B7: 1,3 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 3 => CTR => I8: 1,4 * PRF # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 # C1: 2,3 => SOL * STA # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 + C1: 2,3 * CNT 8 HDP CHAINS / 14 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
| 98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 | initial |
| 98.7..6..75.....9...6......4...8......89...4.....4.3....962..7...58...6......1..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 2.. / A8 = 2 => 1 pairs (_) / B8 = 2 => 1 pairs (_) A5,A6: 5.. / A5 = 5 => 0 pairs (_) / A6 = 5 => 1 pairs (_) E2,F2: 6.. / E2 = 6 => 0 pairs (_) / F2 = 6 => 6 pairs (_) A9,B9: 6.. / A9 = 6 => 0 pairs (_) / B9 = 6 => 3 pairs (_) E2,E5: 6.. / E2 = 6 => 0 pairs (_) / E5 = 6 => 6 pairs (_) G3,I3: 7.. / G3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) F2,F3: 8.. / F2 = 8 => 0 pairs (_) / F3 = 8 => 2 pairs (_) H6,I6: 8.. / H6 = 8 => 1 pairs (_) / I6 = 8 => 0 pairs (_) A7,A9: 8.. / A7 = 8 => 1 pairs (_) / A9 = 8 => 4 pairs (_) E3,F3: 9.. / E3 = 9 => 2 pairs (_) / F3 = 9 => 0 pairs (_) B4,B6: 9.. / B4 = 9 => 1 pairs (_) / B6 = 9 => 0 pairs (_) B6,I6: 9.. / B6 = 9 => 0 pairs (_) / I6 = 9 => 1 pairs (_) E9,G9: 9.. / E9 = 9 => 1 pairs (_) / G9 = 9 => 1 pairs (_) F3,F8: 9.. / F3 = 9 => 0 pairs (_) / F8 = 9 => 2 pairs (_) * DURATION: 0:00:09.098261 START: 04:31:09.221688 END: 04:31:18.319949 2020-10-06 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E2,E5: 6.. / E2 = 6 => 0 pairs (X) / E5 = 6 ==> 0 pairs (*) * DURATION: 0:00:23.652834 START: 04:31:18.320890 END: 04:31:41.973724 2020-10-06 * REASONING E2,E5: 6.. * DIS # E5: 6 # E1: 1,3 => CTR => E1: 5 * DIS # E5: 6 + E1: 5 # G4: 1,7 => CTR => G4: 2,5 * DIS # E5: 6 + E1: 5 + G4: 2,5 # G5: 2 => CTR => G5: 1,7 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # A8: 1,3 => CTR => A8: 2 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 # B8: 1,3 => CTR => B8: 4,7 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 4 => CTR => B7: 1,3 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 3 => CTR => I8: 1,4 * PRF # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 # C1: 2,3 => SOL * STA # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 + C1: 2,3 * CNT 8 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1684027;2015_08;GP;24;11.50;11.50;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E2,E5: 6..:
* DIS # E5: 6 # E1: 1,3 => CTR => E1: 5 * DIS # E5: 6 + E1: 5 # G4: 1,7 => CTR => G4: 2,5 * INC # E5: 6 + E1: 5 + G4: 2,5 # G5: 1,7 => UNS * INC # E5: 6 + E1: 5 + G4: 2,5 # G5: 1,7 => UNS * DIS # E5: 6 + E1: 5 + G4: 2,5 # G5: 2 => CTR => G5: 1,7 * INC # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # B7: 1,3 => UNS * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 # A8: 1,3 => CTR => A8: 2 * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 # B8: 1,3 => CTR => B8: 4,7 * INC # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 1,3 => UNS * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 # B7: 4 => CTR => B7: 1,3 * INC # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 1,4 => UNS * DIS # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 # I8: 3 => CTR => I8: 1,4 * PRF # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 # C1: 2,3 => SOL * STA # E5: 6 + E1: 5 + G4: 2,5 + G5: 1,7 + A8: 2 + B8: 4,7 + B7: 1,3 + I8: 1,4 + C1: 2,3 * CNT 13 HDP CHAINS / 14 HYP OPENED