Analysis of xx-ph-00012109-kz0-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....7...6......5..87..5....49...9.3.......4....21.5...74.....2...6.....1...3 initial
Autosolve
position: 98.7.....7...6......5..87..5....49...9.3.......4....21.5...74.....2...6.....1...3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for H4,G6: 3..:
* DIS # G6: 3 # C4: 6,8 => CTR => C4: 1,2,3,7 * DIS # G6: 3 + C4: 1,2,3,7 # A5: 6,8 => CTR => A5: 1,2 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # B4: 6,7 => CTR => B4: 1,2,3 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # E4: 7,8 => CTR => E4: 2 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # C4: 7 => CTR => C4: 1,3 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 # B3: 1,3 => CTR => B3: 2,4,6 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # D6: 6,8 => CTR => D6: 5,9 * PRF # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 + D6: 5,9 # A7: 6,8 => SOL * STA # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 + D6: 5,9 + A7: 6,8 * CNT 8 HDP CHAINS / 38 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.....7...6......5..87..5....49...9.3.......4....21.5...74.....2...6.....1...3 | initial |
| 98.7.....7...6......5..87..5....49...9.3.......4....21.5...74.....2...6.....1...3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,F5: 1.. / D4 = 1 => 1 pairs (_) / F5 = 1 => 1 pairs (_) H7,G8: 1.. / H7 = 1 => 1 pairs (_) / G8 = 1 => 1 pairs (_) I7,G9: 2.. / I7 = 2 => 1 pairs (_) / G9 = 2 => 1 pairs (_) H4,G6: 3.. / H4 = 3 => 0 pairs (_) / G6 = 3 => 3 pairs (_) H5,I5: 4.. / H5 = 4 => 0 pairs (_) / I5 = 4 => 0 pairs (_) E8,D9: 4.. / E8 = 4 => 0 pairs (_) / D9 = 4 => 1 pairs (_) I8,H9: 7.. / I8 = 7 => 1 pairs (_) / H9 = 7 => 1 pairs (_) B6,E6: 7.. / B6 = 7 => 0 pairs (_) / E6 = 7 => 2 pairs (_) * DURATION: 0:00:06.072037 START: 00:55:14.170024 END: 00:55:20.242061 2020-10-19 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H4,G6: 3.. / H4 = 3 => 0 pairs (X) / G6 = 3 ==> 0 pairs (*) * DURATION: 0:00:33.303531 START: 00:55:20.243348 END: 00:55:53.546879 2020-10-19 * REASONING H4,G6: 3.. * DIS # G6: 3 # C4: 6,8 => CTR => C4: 1,2,3,7 * DIS # G6: 3 + C4: 1,2,3,7 # A5: 6,8 => CTR => A5: 1,2 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # B4: 6,7 => CTR => B4: 1,2,3 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # E4: 7,8 => CTR => E4: 2 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # C4: 7 => CTR => C4: 1,3 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 # B3: 1,3 => CTR => B3: 2,4,6 * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # D6: 6,8 => CTR => D6: 5,9 * PRF # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 + D6: 5,9 # A7: 6,8 => SOL * STA # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 + D6: 5,9 + A7: 6,8 * CNT 8 HDP CHAINS / 38 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
12109;kz0;GP;23;11.40;11.40;10.10
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H4,G6: 3..:
* DIS # G6: 3 # C4: 6,8 => CTR => C4: 1,2,3,7 * DIS # G6: 3 + C4: 1,2,3,7 # A5: 6,8 => CTR => A5: 1,2 * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # C5: 6,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # C5: 6,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # C5: 1,2,7 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # D6: 6,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # D6: 5,9 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # A7: 6,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # A9: 6,8 => UNS * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 # B4: 6,7 => CTR => B4: 1,2,3 * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # C5: 6,7 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # C5: 6,7 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # C5: 1,2,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # B9: 6,7 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # B9: 2,4 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # I4: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # H5: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # I5: 7,8 => UNS * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 # E4: 7,8 => CTR => E4: 2 * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # H9: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # H9: 5,9 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # I4: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # H5: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # I5: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # H9: 7,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # H9: 5,9 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # C4: 1,3 => UNS * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 # C4: 7 => CTR => C4: 1,3 * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 # B2: 1,3 => UNS * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 # B3: 1,3 => CTR => B3: 2,4,6 * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # B8: 1,3 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # B2: 1,3 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # B8: 1,3 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # C5: 6,8 => UNS * INC # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # C5: 7 => UNS * DIS # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 # D6: 6,8 => CTR => D6: 5,9 * PRF # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 + D6: 5,9 # A7: 6,8 => SOL * STA # G6: 3 + C4: 1,2,3,7 + A5: 1,2 + B4: 1,2,3 + E4: 2 + C4: 1,3 + B3: 2,4,6 + D6: 5,9 + A7: 6,8 * CNT 37 HDP CHAINS / 38 HYP OPENED