Analysis of xx-ph-00017141-Kz1_b-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..5..6..7......4....7..8..9...3.....5...5.2....1....6..9...1...76....8.1.. initial
Autosolve
position: 98.7..6..5..6..7......4....7..8..9...3.....5...5.2....1....6..9...1...76....8.1.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.385794
The following important HDP chains were detected:
* DIS # F5: 4,9 # I6: 4,8 => CTR => I6: 1,7 * PRF # F5: 4,9 + I6: 1,7 # I5: 2,8 => SOL * STA # F5: 4,9 + I6: 1,7 + I5: 2,8 * CNT 2 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..5..6..7......4....7..8..9...3.....5...5.2....1....6..9...1...76....8.1.. | initial |
| 98.7..6..5..6..7......4....7..8..9...3.....5...5.2....1....6..9...1...76....8.1.. | autosolve |
| 984713625513692784267548391742865913631479258895321467178236549329154876456987132 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D5: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E4,F4: 5.. / E4 = 5 => 3 pairs (_) / F4 = 5 => 1 pairs (_) E4,E5: 6.. / E4 = 6 => 7 pairs (_) / E5 = 6 => 1 pairs (_) H4,H6: 6.. / H4 = 6 => 3 pairs (_) / H6 = 6 => 2 pairs (_) B3,C3: 7.. / B3 = 7 => 1 pairs (_) / C3 = 7 => 1 pairs (_) I5,I6: 7.. / I5 = 7 => 1 pairs (_) / I6 = 7 => 1 pairs (_) E7,F9: 7.. / E7 = 7 => 1 pairs (_) / F9 = 7 => 8 pairs (_) F6,I6: 7.. / F6 = 7 => 1 pairs (_) / I6 = 7 => 1 pairs (_) E5,E7: 7.. / E5 = 7 => 8 pairs (_) / E7 = 7 => 1 pairs (_) F2,F3: 8.. / F2 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) H2,H3: 9.. / H2 = 9 => 2 pairs (_) / H3 = 9 => 1 pairs (_) C5,B6: 9.. / C5 = 9 => 3 pairs (_) / B6 = 9 => 2 pairs (_) * DURATION: 0:00:07.551833 START: 07:37:34.238638 END: 07:37:41.790471 2020-12-05 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:23.261975 START: 07:37:47.637017 END: 07:38:10.898992 2020-12-05 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00017141-Kz1_b-base-pr-002.dot * REASONING * DIS # F5: 4,9 # I6: 4,8 => CTR => I6: 1,7 * PRF # F5: 4,9 + I6: 1,7 # I5: 2,8 => SOL * STA # F5: 4,9 + I6: 1,7 + I5: 2,8 * CNT 2 HDP CHAINS / 23 HYP OPENED
Header Info
17141;Kz1 b;GP;23;11.30;11.30;9.40
Solution
position: 984713625513692784267548391742865913631479258895321467178236549329154876456987132 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # F5: 4,9 => UNS * INC # D6: 4,9 => UNS * INC # F6: 4,9 => UNS * INC # C5: 4,9 => UNS * INC # C5: 1,2,6,8 => UNS * INC # D9: 4,9 => UNS * INC # D9: 2,3,5 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 4,9 => UNS * INC # D6: 4,9 => UNS * INC # F6: 4,9 => UNS * INC # C5: 4,9 => UNS * INC # C5: 1,2,6,8 => UNS * INC # D9: 4,9 => UNS * INC # D9: 2,3,5 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 4,9 => UNS * INC # D6: 4,9 => UNS * INC # F6: 4,9 => UNS * INC # C5: 4,9 => UNS * INC # C5: 1,2,6,8 => UNS * INC # D9: 4,9 => UNS * INC # D9: 2,3,5 => UNS * INC # F5: 4,9 # E4: 1,5 => UNS * INC # F5: 4,9 # E4: 6 => UNS * INC # F5: 4,9 # F1: 1,5 => UNS * INC # F5: 4,9 # F3: 1,5 => UNS * INC # F5: 4,9 # D9: 4,9 => UNS * INC # F5: 4,9 # D9: 2,5 => UNS * INC # F5: 4,9 # F8: 4,9 => UNS * INC # F5: 4,9 # F9: 4,9 => UNS * INC # F5: 4,9 # E5: 1,7 => UNS * INC # F5: 4,9 # E5: 6 => UNS * INC # F5: 4,9 # I6: 1,7 => UNS * DIS # F5: 4,9 # I6: 4,8 => CTR => I6: 1,7 * INC # F5: 4,9 + I6: 1,7 # E5: 1,7 => UNS * INC # F5: 4,9 + I6: 1,7 # E5: 6 => UNS * PRF # F5: 4,9 + I6: 1,7 # I5: 2,8 => SOL * STA # F5: 4,9 + I6: 1,7 + I5: 2,8 * CNT 22 HDP CHAINS / 23 HYP OPENED