Analysis of xx-ph-00021699-KZ1C-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3..2.......1..6 initial
Autosolve
position: 98.7..6..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3.72.......1..6 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for F4,E6: 3..:
* DIS # F4: 3 # E5: 5,8 => CTR => E5: 1 * DIS # F4: 3 + E5: 1 # E2: 5,8 => CTR => E2: 2,3,6 * CNT 2 HDP CHAINS / 57 HYP OPENED
List of important HDP chains detected for E2,E8: 6..:
* DIS # E2: 6 # E9: 5,8 => CTR => E9: 2 * PRF # E2: 6 + E9: 2 # G7: 8,9 => SOL * STA # E2: 6 + E9: 2 + G7: 8,9 * CNT 2 HDP CHAINS / 27 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..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3..2.......1..6 | initial |
| 98.7..6..7..........5.9..8.5...7..6...46....3.....21...5..4..7....3.72.......1..6 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 2 pairs (_) / E5 = 1 => 1 pairs (_) I4,H5: 2.. / I4 = 2 => 1 pairs (_) / H5 = 2 => 1 pairs (_) F4,E6: 3.. / F4 = 3 => 4 pairs (_) / E6 = 3 => 1 pairs (_) F7,E8: 6.. / F7 = 6 => 2 pairs (_) / E8 = 6 => 1 pairs (_) E2,E8: 6.. / E2 = 6 => 2 pairs (_) / E8 = 6 => 1 pairs (_) G3,I3: 7.. / G3 = 7 => 0 pairs (_) / I3 = 7 => 1 pairs (_) G5,I6: 7.. / G5 = 7 => 1 pairs (_) / I6 = 7 => 0 pairs (_) B9,C9: 7.. / B9 = 7 => 1 pairs (_) / C9 = 7 => 0 pairs (_) B5,G5: 7.. / B5 = 7 => 0 pairs (_) / G5 = 7 => 1 pairs (_) C6,C9: 7.. / C6 = 7 => 1 pairs (_) / C9 = 7 => 0 pairs (_) G3,G5: 7.. / G3 = 7 => 0 pairs (_) / G5 = 7 => 1 pairs (_) I3,I6: 7.. / I3 = 7 => 1 pairs (_) / I6 = 7 => 0 pairs (_) * DURATION: 0:00:07.024171 START: 13:46:15.013610 END: 13:46:22.037781 2020-12-07 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F4,E6: 3.. / F4 = 3 ==> 5 pairs (_) / E6 = 3 ==> 1 pairs (_) E2,E8: 6.. / E2 = 6 ==> 0 pairs (*) / E8 = 6 => 0 pairs (X) * DURATION: 0:00:41.436822 START: 13:46:22.038350 END: 13:47:03.475172 2020-12-07 * REASONING F4,E6: 3.. * DIS # F4: 3 # E5: 5,8 => CTR => E5: 1 * DIS # F4: 3 + E5: 1 # E2: 5,8 => CTR => E2: 2,3,6 * CNT 2 HDP CHAINS / 57 HYP OPENED * REASONING E2,E8: 6.. * DIS # E2: 6 # E9: 5,8 => CTR => E9: 2 * PRF # E2: 6 + E9: 2 # G7: 8,9 => SOL * STA # E2: 6 + E9: 2 + G7: 8,9 * CNT 2 HDP CHAINS / 27 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
21699;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 F4,E6: 3..:
* INC # F4: 3 # F2: 4,5 => UNS * INC # F4: 3 # F2: 6,8 => UNS * INC # F4: 3 # H1: 4,5 => UNS * INC # F4: 3 # I1: 4,5 => UNS * INC # F4: 3 # E1: 1,2 => UNS * INC # F4: 3 # D2: 1,2 => UNS * INC # F4: 3 # E2: 1,2 => UNS * INC # F4: 3 # A3: 1,2 => UNS * INC # F4: 3 # B3: 1,2 => UNS * INC # F4: 3 # I3: 1,2 => UNS * INC # F4: 3 # F2: 4,6 => UNS * INC # F4: 3 # F2: 5,8 => UNS * INC # F4: 3 # A3: 4,6 => UNS * INC # F4: 3 # B3: 4,6 => UNS * DIS # F4: 3 # E5: 5,8 => CTR => E5: 1 * INC # F4: 3 + E5: 1 # F5: 5,8 => UNS * INC # F4: 3 + E5: 1 # D6: 5,8 => UNS * INC # F4: 3 + E5: 1 # I6: 5,8 => UNS * INC # F4: 3 + E5: 1 # I6: 4,7,9 => UNS * DIS # F4: 3 + E5: 1 # E2: 5,8 => CTR => E2: 2,3,6 * INC # F4: 3 + E5: 1 + E2: 2,3,6 # E8: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # E9: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # F5: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # D6: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 4,7,9 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # E8: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # E9: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 4,5 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 6,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # H1: 4,5 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # I1: 4,5 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # D2: 1,2 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # D2: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # A3: 1,2 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # B3: 1,2 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # I3: 1,2 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 4,6 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # F2: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # A3: 4,6 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # B3: 4,6 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # C4: 2,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # C4: 1,9 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # A7: 2,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # A9: 2,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # F5: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # D6: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # I6: 4,7,9 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # E8: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 # E9: 5,8 => UNS * INC # F4: 3 + E5: 1 + E2: 2,3,6 => UNS * INC # E6: 3 # C6: 6,8 => UNS * INC # E6: 3 # C6: 7,9 => UNS * INC # E6: 3 # A7: 6,8 => UNS * INC # E6: 3 # A8: 6,8 => UNS * INC # E6: 3 => UNS * CNT 57 HDP CHAINS / 57 HYP OPENED
Full list of HDP chains traversed for E2,E8: 6..:
* INC # E2: 6 # F1: 3,4 => UNS * INC # E2: 6 # F2: 3,4 => UNS * INC # E2: 6 # A3: 3,4 => UNS * INC # E2: 6 # B3: 3,4 => UNS * INC # E2: 6 # G3: 3,4 => UNS * INC # E2: 6 # F4: 3,4 => UNS * INC # E2: 6 # F4: 8,9 => UNS * INC # E2: 6 # D9: 5,8 => UNS * DIS # E2: 6 # E9: 5,8 => CTR => E9: 2 * INC # E2: 6 + E9: 2 # D9: 5,8 => UNS * INC # E2: 6 + E9: 2 # D9: 9 => UNS * INC # E2: 6 + E9: 2 # I8: 5,8 => UNS * INC # E2: 6 + E9: 2 # I8: 1,4,9 => UNS * INC # E2: 6 + E9: 2 # E5: 5,8 => UNS * INC # E2: 6 + E9: 2 # E6: 5,8 => UNS * INC # E2: 6 + E9: 2 # F1: 3,4 => UNS * INC # E2: 6 + E9: 2 # F2: 3,4 => UNS * INC # E2: 6 + E9: 2 # A3: 3,4 => UNS * INC # E2: 6 + E9: 2 # B3: 3,4 => UNS * INC # E2: 6 + E9: 2 # G3: 3,4 => UNS * INC # E2: 6 + E9: 2 # F4: 3,4 => UNS * INC # E2: 6 + E9: 2 # F4: 8,9 => UNS * INC # E2: 6 + E9: 2 # D9: 8,9 => UNS * INC # E2: 6 + E9: 2 # D9: 5 => UNS * INC # E2: 6 + E9: 2 # C7: 8,9 => UNS * PRF # E2: 6 + E9: 2 # G7: 8,9 => SOL * STA # E2: 6 + E9: 2 + G7: 8,9 * CNT 26 HDP CHAINS / 27 HYP OPENED