Analysis of zz-www.sudokuwiki.org-0318-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=318
level: deep
position: 98.76....7.....9...54......6..3..2...4.....5...8..1......69...3....3.7.......8.1. initial
Autosolve
position: 98.76....7.....9...54......6..3..2...4...6.5...8..1......69...3...13.7.......8.1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for F3,F4: 9..:
* DIS # F4: 9 # H3: 2,3 => CTR => H3: 6,7,8 * DIS # F4: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => F4: 4,5,7 * STA F4: 4,5,7 * CNT 6 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for D3,F3: 9..:
* DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8 * DIS # D3: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => D3: 2,8 * STA D3: 2,8 * CNT 6 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for F4,F7: 7..:
* DIS # F4: 7 # H3: 2,8 => CTR => H3: 3,6,7 * DIS # F4: 7 + H3: 3,6,7 # I3: 2,8 => CTR => I3: 1,6,7 * PRF # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # C4: 1,9 => SOL * STA # F4: 7 + H3: 3,6,7 + I3: 1,6,7 + C4: 1,9 * CNT 3 HDP CHAINS / 14 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....7.....9...54......6..3..2...4.....5...8..1......69...3....3.7.......8.1. | initial |
| 98.76....7.....9...54......6..3..2...4...6.5...8..1......69...3...13.7.......8.1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E2,E3: 1.. / E2 = 1 => 1 pairs (_) / E3 = 1 => 1 pairs (_) C4,A6: 5.. / C4 = 5 => 2 pairs (_) / A6 = 5 => 0 pairs (_) B2,C2: 6.. / B2 = 6 => 1 pairs (_) / C2 = 6 => 0 pairs (_) H3,I3: 7.. / H3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) F7,E9: 7.. / F7 = 7 => 1 pairs (_) / E9 = 7 => 3 pairs (_) F4,F7: 7.. / F4 = 7 => 3 pairs (_) / F7 = 7 => 1 pairs (_) A7,A8: 8.. / A7 = 8 => 2 pairs (_) / A8 = 8 => 0 pairs (_) D3,F3: 9.. / D3 = 9 => 4 pairs (_) / F3 = 9 => 1 pairs (_) F3,F4: 9.. / F3 = 9 => 1 pairs (_) / F4 = 9 => 4 pairs (_) * DURATION: 0:00:05.537410 START: 17:54:04.707603 END: 17:54:10.245013 2019-04-28 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F3,F4: 9.. / F3 = 9 => 1 pairs (_) / F4 = 9 ==> 0 pairs (X) D3,F3: 9.. / D3 = 9 ==> 0 pairs (X) / F3 = 9 => 1 pairs (_) F4,F7: 7.. / F4 = 7 ==> 0 pairs (*) / F7 = 7 => 0 pairs (X) * DURATION: 0:00:32.818495 START: 17:54:10.245542 END: 17:54:43.064037 2019-04-28 * REASONING F3,F4: 9.. * DIS # F4: 9 # H3: 2,3 => CTR => H3: 6,7,8 * DIS # F4: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => F4: 4,5,7 * STA F4: 4,5,7 * CNT 6 HDP CHAINS / 18 HYP OPENED * REASONING D3,F3: 9.. * DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8 * DIS # D3: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => D3: 2,8 * STA D3: 2,8 * CNT 6 HDP CHAINS / 18 HYP OPENED * REASONING F4,F7: 7.. * DIS # F4: 7 # H3: 2,8 => CTR => H3: 3,6,7 * DIS # F4: 7 + H3: 3,6,7 # I3: 2,8 => CTR => I3: 1,6,7 * PRF # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # C4: 1,9 => SOL * STA # F4: 7 + H3: 3,6,7 + I3: 1,6,7 + C4: 1,9 * CNT 3 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=318
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F3,F4: 9..:
* INC # F4: 9 # F1: 2,3 => UNS * INC # F4: 9 # F2: 2,3 => UNS * INC # F4: 9 # A3: 2,3 => UNS * DIS # F4: 9 # H3: 2,3 => CTR => H3: 6,7,8 * INC # F4: 9 + H3: 6,7,8 # A3: 2,3 => UNS * INC # F4: 9 + H3: 6,7,8 # A3: 1 => UNS * INC # F4: 9 + H3: 6,7,8 # F1: 2,3 => UNS * INC # F4: 9 + H3: 6,7,8 # F2: 2,3 => UNS * INC # F4: 9 + H3: 6,7,8 # A3: 2,3 => UNS * INC # F4: 9 + H3: 6,7,8 # A3: 1 => UNS * INC # F4: 9 + H3: 6,7,8 # C4: 1,7 => UNS * DIS # F4: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9 * INC # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 1,7 => UNS * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8 * DIS # F4: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => F4: 4,5,7 * INC F4: 4,5,7 # F3: 9 => UNS * STA F4: 4,5,7 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for D3,F3: 9..:
* INC # D3: 9 # F1: 2,3 => UNS * INC # D3: 9 # F2: 2,3 => UNS * INC # D3: 9 # A3: 2,3 => UNS * DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8 * INC # D3: 9 + H3: 6,7,8 # A3: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # A3: 1 => UNS * INC # D3: 9 + H3: 6,7,8 # F1: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # F2: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # A3: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # A3: 1 => UNS * INC # D3: 9 + H3: 6,7,8 # C4: 1,7 => UNS * DIS # D3: 9 + H3: 6,7,8 # C5: 1,7 => CTR => C5: 2,3,9 * INC # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 1,7 => UNS * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 # C4: 5 => CTR => C4: 1,7 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 # E5: 2,8 => CTR => E5: 7 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 # A7: 1,2 => CTR => A7: 4,8 * DIS # D3: 9 + H3: 6,7,8 + C5: 2,3,9 + C4: 1,7 + E5: 7 + A7: 4,8 => CTR => D3: 2,8 * INC D3: 2,8 # F3: 9 => UNS * STA D3: 2,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for F4,F7: 7..:
* INC # F4: 7 # D2: 2,8 => UNS * INC # F4: 7 # E2: 2,8 => UNS * INC # F4: 7 # E3: 2,8 => UNS * DIS # F4: 7 # H3: 2,8 => CTR => H3: 3,6,7 * DIS # F4: 7 + H3: 3,6,7 # I3: 2,8 => CTR => I3: 1,6,7 * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 2,8 => UNS * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 9 => UNS * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D2: 2,8 => UNS * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # E2: 2,8 => UNS * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # E3: 2,8 => UNS * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 2,8 => UNS * INC # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # D5: 9 => UNS * PRF # F4: 7 + H3: 3,6,7 + I3: 1,6,7 # C4: 1,9 => SOL * STA # F4: 7 + H3: 3,6,7 + I3: 1,6,7 + C4: 1,9 * CNT 13 HDP CHAINS / 14 HYP OPENED