Analysis of zz-www.sudokuwiki.org-0344-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=344
level: deep
position: .....9..1.....1.2....34.5......6......7..8...36.4..9....2....7..5..9.6..64..3.... initial
Autosolve
position: .....9..1.....1.2....34.5......63.....7..8...36.4..9....2....7.75..9.6..64..3.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:13.209169
The following important HDP chains were detected:
* DIS # I8: 2,4 # D9: 1,8 => CTR => D9: 2,5,7 * CNT 1 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for F7,F8: 4..:
* DIS # F7: 4 # I2: 8,9 => CTR => I2: 3,4,6,7 * DIS # F7: 4 + I2: 3,4,6,7 # E6: 5,7 => CTR => E6: 1,2 * PRF # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 1,2,9 => SOL * STA # F7: 4 + I2: 3,4,6,7 + E6: 1,2 + D4: 1,2,9 * CNT 3 HDP CHAINS / 11 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
| .....9..1.....1.2....34.5......6......7..8...36.4..9....2....7..5..9.6..64..3.... | initial |
| .....9..1.....1.2....34.5......63.....7..8...36.4..9....2....7.75..9.6..64..3.... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F8: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B7,C8: 3.. / B7 = 3 => 2 pairs (_) / C8 = 3 => 1 pairs (_) F7,F8: 4.. / F7 = 4 => 4 pairs (_) / F8 = 4 => 1 pairs (_) H5,I5: 6.. / H5 = 6 => 2 pairs (_) / I5 = 6 => 1 pairs (_) D7,F7: 6.. / D7 = 6 => 3 pairs (_) / F7 = 6 => 1 pairs (_) F3,F7: 6.. / F3 = 6 => 3 pairs (_) / F7 = 6 => 1 pairs (_) D9,F9: 7.. / D9 = 7 => 2 pairs (_) / F9 = 7 => 3 pairs (_) D4,D5: 9.. / D4 = 9 => 1 pairs (_) / D5 = 9 => 2 pairs (_) H3,H9: 9.. / H3 = 9 => 1 pairs (_) / H9 = 9 => 3 pairs (_) * DURATION: 0:00:04.995097 START: 19:08:45.108394 END: 19:08:50.103491 2019-04-28 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F7,F8: 4.. / F7 = 4 ==> 0 pairs (*) / F8 = 4 => 0 pairs (X) * DURATION: 0:00:11.925116 START: 19:09:05.144991 END: 19:09:17.070107 2019-04-28 * REASONING F7,F8: 4.. * DIS # F7: 4 # I2: 8,9 => CTR => I2: 3,4,6,7 * DIS # F7: 4 + I2: 3,4,6,7 # E6: 5,7 => CTR => E6: 1,2 * PRF # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 1,2,9 => SOL * STA # F7: 4 + I2: 3,4,6,7 + E6: 1,2 + D4: 1,2,9 * CNT 3 HDP CHAINS / 11 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=344
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # I8: 2,4 => UNS * INC # I8: 3,8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I8: 2,4 => UNS * INC # I8: 3,8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I8: 2,4 => UNS * INC # I8: 3,8 => UNS * INC # I8: 2,4 # D7: 1,8 => UNS * INC # I8: 2,4 # E7: 1,8 => UNS * DIS # I8: 2,4 # D9: 1,8 => CTR => D9: 2,5,7 * INC # I8: 2,4 + D9: 2,5,7 # C8: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # H8: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # D7: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # E7: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # C8: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # H8: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # I4: 2,4 => UNS * INC # I8: 2,4 + D9: 2,5,7 # I5: 2,4 => UNS * INC # I8: 2,4 + D9: 2,5,7 # D7: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # E7: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # C8: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # H8: 1,8 => UNS * INC # I8: 2,4 + D9: 2,5,7 # I4: 2,4 => UNS * INC # I8: 2,4 + D9: 2,5,7 # I5: 2,4 => UNS * INC # I8: 2,4 + D9: 2,5,7 => UNS * INC # I8: 3,8 # D9: 5,7 => UNS * INC # I8: 3,8 # D9: 1,8 => UNS * INC # I8: 3,8 # F6: 5,7 => UNS * INC # I8: 3,8 # F6: 2 => UNS * INC # I8: 3,8 # G7: 3,8 => UNS * INC # I8: 3,8 # I7: 3,8 => UNS * INC # I8: 3,8 # H8: 3,8 => UNS * INC # I8: 3,8 # C8: 3,8 => UNS * INC # I8: 3,8 # C8: 1 => UNS * INC # I8: 3,8 # I2: 3,8 => UNS * INC # I8: 3,8 # I2: 4,6,7,9 => UNS * INC # I8: 3,8 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F7,F8: 4..:
* DIS # F7: 4 # I2: 8,9 => CTR => I2: 3,4,6,7 * INC # F7: 4 + I2: 3,4,6,7 # I3: 8,9 => UNS * INC # F7: 4 + I2: 3,4,6,7 # I3: 8,9 => UNS * INC # F7: 4 + I2: 3,4,6,7 # I3: 7 => UNS * INC # F7: 4 + I2: 3,4,6,7 # H9: 8,9 => UNS * INC # F7: 4 + I2: 3,4,6,7 # H9: 1,5 => UNS * INC # F7: 4 + I2: 3,4,6,7 # D4: 5,7 => UNS * DIS # F7: 4 + I2: 3,4,6,7 # E6: 5,7 => CTR => E6: 1,2 * INC # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 5,7 => UNS * PRF # F7: 4 + I2: 3,4,6,7 + E6: 1,2 # D4: 1,2,9 => SOL * STA # F7: 4 + I2: 3,4,6,7 + E6: 1,2 + D4: 1,2,9 * CNT 10 HDP CHAINS / 11 HYP OPENED