Analysis of xx-ph-00001670-538-base.sdk
Contents
Original Sudoku
level: deep
position: 1..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2.... initial
Autosolve
position: 1..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2..4. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for A9,B9: 3..:
* DIS # B9: 3 # C1: 2,5 => CTR => C1: 3,4,8 * DIS # B9: 3 + C1: 3,4,8 # A2: 2,5 => CTR => A2: 3,4,8 * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A5: 2,6 => CTR => A5: 3,4,5,8,9 * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # G5: 2,6 => CTR => G5: 8 * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 5 => CTR => B1: 2,6 * PRF # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 5,8,9 => SOL * STA # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 + A6: 5,8,9 * CNT 6 HDP CHAINS / 22 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..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2.... | initial |
| 1..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2..4. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A9,B9: 3.. / A9 = 3 => 0 pairs (_) / B9 = 3 => 3 pairs (_) C1,A2: 4.. / C1 = 4 => 0 pairs (_) / A2 = 4 => 0 pairs (_) E4,D5: 4.. / E4 = 4 => 0 pairs (_) / D5 = 4 => 1 pairs (_) B1,A3: 6.. / B1 = 6 => 0 pairs (_) / A3 = 6 => 0 pairs (_) G4,G5: 6.. / G4 = 6 => 1 pairs (_) / G5 = 6 => 2 pairs (_) I7,I8: 6.. / I7 = 6 => 1 pairs (_) / I8 = 6 => 1 pairs (_) E7,I7: 6.. / E7 = 6 => 1 pairs (_) / I7 = 6 => 1 pairs (_) G1,I1: 7.. / G1 = 7 => 1 pairs (_) / I1 = 7 => 2 pairs (_) G1,G9: 7.. / G1 = 7 => 1 pairs (_) / G9 = 7 => 2 pairs (_) G9,I9: 8.. / G9 = 8 => 2 pairs (_) / I9 = 8 => 1 pairs (_) * DURATION: 0:00:07.211919 START: 10:48:51.884879 END: 10:48:59.096798 2020-11-30 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A9,B9: 3.. / A9 = 3 => 0 pairs (X) / B9 = 3 ==> 0 pairs (*) * DURATION: 0:00:21.617089 START: 10:48:59.097449 END: 10:49:20.714538 2020-11-30 * REASONING A9,B9: 3.. * DIS # B9: 3 # C1: 2,5 => CTR => C1: 3,4,8 * DIS # B9: 3 + C1: 3,4,8 # A2: 2,5 => CTR => A2: 3,4,8 * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A5: 2,6 => CTR => A5: 3,4,5,8,9 * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # G5: 2,6 => CTR => G5: 8 * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 5 => CTR => B1: 2,6 * PRF # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 5,8,9 => SOL * STA # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 + A6: 5,8,9 * CNT 6 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1670;538;elev;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A9,B9: 3..:
* INC # B9: 3 # B1: 2,5 => UNS * DIS # B9: 3 # C1: 2,5 => CTR => C1: 3,4,8 * DIS # B9: 3 + C1: 3,4,8 # A2: 2,5 => CTR => A2: 3,4,8 * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 2,5 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 6 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 2,5 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 1,9 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 2,5 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 6 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 2,5 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 1,9 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A4: 2,6 => UNS * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A5: 2,6 => CTR => A5: 3,4,5,8,9 * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # A6: 2,6 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # D5: 2,6 => UNS * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # F5: 2,6 => UNS * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # G5: 2,6 => CTR => G5: 8 * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 2,6 => UNS * DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 5 => CTR => B1: 2,6 * INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 2,6 => UNS * PRF # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 5,8,9 => SOL * STA # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 + A6: 5,8,9 * CNT 21 HDP CHAINS / 22 HYP OPENED