Analysis of xx-ph-02240371-2019_01_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 initial
Autosolve
position: 98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B2,I2: 6..:
* DIS # B2: 6 # C8: 2,7 => CTR => C8: 5,8 * DIS # B2: 6 + C8: 5,8 # I8: 3,4 => CTR => I8: 2,7 * DIS # B2: 6 + C8: 5,8 + I8: 2,7 # F8: 3,4 => CTR => F8: 2,5,7,8 * PRF # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 2,7 => SOL * STA # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 + F8: 2,7 * CNT 4 HDP CHAINS / 47 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
| 98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 | initial |
| 98.76.5..7.45......5..9.8..3......2..9..5.68....6......1...6.5....9..1......1..68 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,I6: 5.. / I4 = 5 => 0 pairs (_) / I6 = 5 => 1 pairs (_) F8,F9: 5.. / F8 = 5 => 0 pairs (_) / F9 = 5 => 1 pairs (_) C4,I4: 5.. / C4 = 5 => 1 pairs (_) / I4 = 5 => 0 pairs (_) I2,I3: 6.. / I2 = 6 => 1 pairs (_) / I3 = 6 => 5 pairs (_) B4,C4: 6.. / B4 = 6 => 1 pairs (_) / C4 = 6 => 3 pairs (_) B2,I2: 6.. / B2 = 6 => 5 pairs (_) / I2 = 6 => 1 pairs (_) A3,A8: 6.. / A3 = 6 => 2 pairs (_) / A8 = 6 => 1 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) E2,F2: 8.. / E2 = 8 => 1 pairs (_) / F2 = 8 => 4 pairs (_) D4,D7: 8.. / D4 = 8 => 1 pairs (_) / D7 = 8 => 2 pairs (_) F4,F6: 9.. / F4 = 9 => 1 pairs (_) / F6 = 9 => 1 pairs (_) C7,C9: 9.. / C7 = 9 => 2 pairs (_) / C9 = 9 => 0 pairs (_) C9,G9: 9.. / C9 = 9 => 0 pairs (_) / G9 = 9 => 2 pairs (_) H2,H6: 9.. / H2 = 9 => 1 pairs (_) / H6 = 9 => 2 pairs (_) * DURATION: 0:00:10.909824 START: 01:05:11.270855 END: 01:05:22.180679 2020-10-25 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B2,I2: 6.. / B2 = 6 ==> 0 pairs (*) / I2 = 6 => 0 pairs (X) * DURATION: 0:00:42.664021 START: 01:05:22.181412 END: 01:06:04.845433 2020-10-25 * REASONING B2,I2: 6.. * DIS # B2: 6 # C8: 2,7 => CTR => C8: 5,8 * DIS # B2: 6 + C8: 5,8 # I8: 3,4 => CTR => I8: 2,7 * DIS # B2: 6 + C8: 5,8 + I8: 2,7 # F8: 3,4 => CTR => F8: 2,5,7,8 * PRF # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 2,7 => SOL * STA # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 + F8: 2,7 * CNT 4 HDP CHAINS / 47 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
2240371;2019_01_07;GP;26;11.40;11.40;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B2,I2: 6..:
* INC # B2: 6 # C1: 1,2 => UNS * INC # B2: 6 # C3: 1,2 => UNS * INC # B2: 6 # D3: 1,2 => UNS * INC # B2: 6 # F3: 1,2 => UNS * INC # B2: 6 # A5: 1,2 => UNS * INC # B2: 6 # A5: 4 => UNS * INC # B2: 6 # B6: 4,7 => UNS * INC # B2: 6 # B6: 2 => UNS * INC # B2: 6 # E4: 4,7 => UNS * INC # B2: 6 # F4: 4,7 => UNS * INC # B2: 6 # G4: 4,7 => UNS * INC # B2: 6 # B8: 4,7 => UNS * INC # B2: 6 # B9: 4,7 => UNS * INC # B2: 6 # C8: 5,8 => UNS * DIS # B2: 6 # C8: 2,7 => CTR => C8: 5,8 * INC # B2: 6 + C8: 5,8 # G7: 3,4 => UNS * INC # B2: 6 + C8: 5,8 # I7: 3,4 => UNS * DIS # B2: 6 + C8: 5,8 # I8: 3,4 => CTR => I8: 2,7 * INC # B2: 6 + C8: 5,8 + I8: 2,7 # G9: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 # B8: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 # E8: 3,4 => UNS * DIS # B2: 6 + C8: 5,8 + I8: 2,7 # F8: 3,4 => CTR => F8: 2,5,7,8 * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H1: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H6: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # G7: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # I7: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # G9: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B8: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # E8: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H1: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # H6: 3,4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # C1: 1,2 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # C3: 1,2 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # D3: 1,2 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F3: 1,2 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # A5: 1,2 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # A5: 4 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B6: 4,7 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B6: 2 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # E4: 4,7 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F4: 4,7 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # G4: 4,7 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B8: 4,7 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # B9: 4,7 => UNS * INC # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 5,8 => UNS * PRF # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 # F8: 2,7 => SOL * STA # B2: 6 + C8: 5,8 + I8: 2,7 + F8: 2,5,7,8 + F8: 2,7 * CNT 46 HDP CHAINS / 47 HYP OPENED