Analysis of xx-ph-00019837-KZ1C-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....5.4.........9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... initial
Autosolve
position: 98.7..6....5.4.....4...9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B2,C3: 6..:
* DIS # B2: 6 # C1: 1,2 => CTR => C1: 3 * DIS # B2: 6 + C1: 3 # C5: 1,2 => CTR => C5: 8 * DIS # B2: 6 + C1: 3 + C5: 8 # C4: 9 => CTR => C4: 1,2 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A3: 1,2 => CTR => A3: 7 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 # G3: 1,2 => CTR => G3: 5 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 # F2: 1,2 => CTR => F2: 3,8 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 + F2: 3,8 => CTR => B2: 2,7 * STA B2: 2,7 * CNT 7 HDP CHAINS / 15 HYP OPENED
List of important HDP chains detected for B6,D6: 9..:
* DIS # D6: 9 # A6: 5,7 => CTR => A6: 8 * DIS # D6: 9 + A6: 8 # F6: 5,7 => CTR => F6: 3,6 * DIS # D6: 9 + A6: 8 + F6: 3,6 # C3: 1,2 => CTR => C3: 6 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # H6: 5,7 => CTR => H6: 6 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A8: 2,3 => CTR => A8: 5 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 1,7 => CTR => A2: 2,3 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C1: 2,3 => CTR => C1: 1 * PRF # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 + C1: 1 => SOL * STA D6: 9 * CNT 8 HDP CHAINS / 53 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....5.4.........9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... | initial |
| 98.7..6....5.4.....4...9.3.6.....8...3.....9...4.2...14..2....7.1..7......75.4... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F2: 2.. / F1 = 2 => 2 pairs (_) / F2 = 2 => 2 pairs (_) C1,A2: 3.. / C1 = 3 => 1 pairs (_) / A2 = 3 => 2 pairs (_) I4,G6: 3.. / I4 = 3 => 1 pairs (_) / G6 = 3 => 0 pairs (_) H1,I1: 4.. / H1 = 4 => 1 pairs (_) / I1 = 4 => 0 pairs (_) D4,D5: 4.. / D4 = 4 => 0 pairs (_) / D5 = 4 => 0 pairs (_) G5,G8: 4.. / G5 = 4 => 0 pairs (_) / G8 = 4 => 0 pairs (_) B7,A8: 5.. / B7 = 5 => 1 pairs (_) / A8 = 5 => 2 pairs (_) B2,C3: 6.. / B2 = 6 => 4 pairs (_) / C3 = 6 => 2 pairs (_) I5,H6: 6.. / I5 = 6 => 1 pairs (_) / H6 = 6 => 0 pairs (_) A3,G3: 7.. / A3 = 7 => 2 pairs (_) / G3 = 7 => 2 pairs (_) G2,I2: 9.. / G2 = 9 => 1 pairs (_) / I2 = 9 => 0 pairs (_) B6,D6: 9.. / B6 = 9 => 3 pairs (_) / D6 = 9 => 1 pairs (_) * DURATION: 0:00:06.741286 START: 22:48:35.783139 END: 22:48:42.524425 2020-12-06 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B2,C3: 6.. / B2 = 6 ==> 0 pairs (X) / C3 = 6 => 2 pairs (_) B6,D6: 9.. / B6 = 9 ==> 3 pairs (_) / D6 = 9 ==> 0 pairs (*) * DURATION: 0:00:40.693559 START: 22:48:42.525098 END: 22:49:23.218657 2020-12-06 * REASONING B2,C3: 6.. * DIS # B2: 6 # C1: 1,2 => CTR => C1: 3 * DIS # B2: 6 + C1: 3 # C5: 1,2 => CTR => C5: 8 * DIS # B2: 6 + C1: 3 + C5: 8 # C4: 9 => CTR => C4: 1,2 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A3: 1,2 => CTR => A3: 7 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 # G3: 1,2 => CTR => G3: 5 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 # F2: 1,2 => CTR => F2: 3,8 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 + F2: 3,8 => CTR => B2: 2,7 * STA B2: 2,7 * CNT 7 HDP CHAINS / 15 HYP OPENED * REASONING B6,D6: 9.. * DIS # D6: 9 # A6: 5,7 => CTR => A6: 8 * DIS # D6: 9 + A6: 8 # F6: 5,7 => CTR => F6: 3,6 * DIS # D6: 9 + A6: 8 + F6: 3,6 # C3: 1,2 => CTR => C3: 6 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # H6: 5,7 => CTR => H6: 6 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A8: 2,3 => CTR => A8: 5 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 1,7 => CTR => A2: 2,3 * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C1: 2,3 => CTR => C1: 1 * PRF # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 + C1: 1 => SOL * STA D6: 9 * CNT 8 HDP CHAINS / 53 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
19837;KZ1C;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B2,C3: 6..:
* DIS # B2: 6 # C1: 1,2 => CTR => C1: 3 * INC # B2: 6 + C1: 3 # A2: 1,2 => UNS * INC # B2: 6 + C1: 3 # A3: 1,2 => UNS * INC # B2: 6 + C1: 3 # G3: 1,2 => UNS * INC # B2: 6 + C1: 3 # G3: 5,7 => UNS * INC # B2: 6 + C1: 3 # C4: 1,2 => UNS * DIS # B2: 6 + C1: 3 # C5: 1,2 => CTR => C5: 8 * INC # B2: 6 + C1: 3 + C5: 8 # C4: 1,2 => UNS * DIS # B2: 6 + C1: 3 + C5: 8 # C4: 9 => CTR => C4: 1,2 * INC # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A2: 1,2 => UNS * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 # A3: 1,2 => CTR => A3: 7 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 # G3: 1,2 => CTR => G3: 5 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 # F2: 1,2 => CTR => F2: 3,8 * DIS # B2: 6 + C1: 3 + C5: 8 + C4: 1,2 + A3: 7 + G3: 5 + F2: 3,8 => CTR => B2: 2,7 * INC B2: 2,7 # C3: 6 => UNS * STA B2: 2,7 * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for B6,D6: 9..:
* INC # B6: 9 # A5: 1,2 => UNS * INC # B6: 9 # C5: 1,2 => UNS * INC # B6: 9 # C1: 1,2 => UNS * INC # B6: 9 # C3: 1,2 => UNS * INC # B6: 9 # H7: 5,6 => UNS * INC # B6: 9 # H7: 1,8 => UNS * INC # B6: 9 # C8: 2,6 => UNS * INC # B6: 9 # C8: 3,8,9 => UNS * INC # B6: 9 # H9: 2,6 => UNS * INC # B6: 9 # I9: 2,6 => UNS * INC # B6: 9 # B2: 2,6 => UNS * INC # B6: 9 # B2: 7 => UNS * INC # B6: 9 => UNS * INC # D6: 9 # B4: 5,7 => UNS * INC # D6: 9 # A5: 5,7 => UNS * DIS # D6: 9 # A6: 5,7 => CTR => A6: 8 * DIS # D6: 9 + A6: 8 # F6: 5,7 => CTR => F6: 3,6 * INC # D6: 9 + A6: 8 + F6: 3,6 # G6: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # H6: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # B4: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # A5: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # G6: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # H6: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # C4: 1,2 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # A5: 1,2 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 # C1: 1,2 => UNS * DIS # D6: 9 + A6: 8 + F6: 3,6 # C3: 1,2 => CTR => C3: 6 * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 1,2 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C4: 1,2 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # A5: 1,2 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 1,2 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # C1: 3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # B4: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # A5: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # G6: 5,7 => UNS * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 # H6: 5,7 => CTR => H6: 6 * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # B4: 5,7 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A5: 5,7 => UNS * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 # A8: 2,3 => CTR => A8: 5 * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # C8: 2,3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # C8: 2,3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # C8: 8,9 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # G9: 2,3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # G9: 1,9 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 2,3 => UNS * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 # A2: 1,7 => CTR => A2: 2,3 * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C8: 2,3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C8: 8,9 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # G9: 2,3 => UNS * INC # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # G9: 1,9 => UNS * DIS # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 # C1: 2,3 => CTR => C1: 1 * PRF # D6: 9 + A6: 8 + F6: 3,6 + C3: 6 + H6: 6 + A8: 5 + A2: 2,3 + C1: 1 => SOL * STA D6: 9 * CNT 53 HDP CHAINS / 53 HYP OPENED