Analysis of xx-ph-00033119-2012_04-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6...5.8....4....3..7.9..6.......2..........14.6..9.5....1..3......8...2. initial
Autosolve
position: 98.7.....6...5.8....4....3..7.9..6.......2..........14.6..9.5....1..3......8...2. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:20.744474
The following important HDP chains were detected:
* DIS # I4: 5,8 # E1: 1,4 => CTR => E1: 2,3,6 * DIS # I4: 5,8 + E1: 2,3,6 # F1: 6 => CTR => F1: 1,4 * DIS # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # A4: 1,4 => CTR => A4: 2,3 * PRF # I4: 5,8 + E1: 2,3,6 + F1: 1,4 + A4: 2,3 # C2: 2,3 => SOL * STA # I4: 5,8 + E1: 2,3,6 + F1: 1,4 + A4: 2,3 + C2: 2,3 * CNT 4 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6...5.8....4....3..7.9..6.......2..........14.6..9.5....1..3......8...2. | initial |
| 98.7.....6...5.8....4....3..7.9..6.......2..........14.6..9.5....1..3......8...2. | autosolve |
| 985731462623459871714628935372914658146582397859376214268197543591243786437865129 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H4: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,G6: 2.. / I4 = 2 => 1 pairs (_) / G6 = 2 => 2 pairs (_) E1,D2: 3.. / E1 = 3 => 2 pairs (_) / D2 = 3 => 4 pairs (_) C1,E1: 3.. / C1 = 3 => 4 pairs (_) / E1 = 3 => 2 pairs (_) D8,F9: 5.. / D8 = 5 => 2 pairs (_) / F9 = 5 => 1 pairs (_) C5,C6: 6.. / C5 = 6 => 1 pairs (_) / C6 = 6 => 2 pairs (_) H1,H8: 6.. / H1 = 6 => 2 pairs (_) / H8 = 6 => 2 pairs (_) C2,A3: 7.. / C2 = 7 => 2 pairs (_) / A3 = 7 => 2 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 2 pairs (_) F2,F3: 9.. / F2 = 9 => 2 pairs (_) / F3 = 9 => 2 pairs (_) * DURATION: 0:00:05.573344 START: 12:33:10.658146 END: 12:33:16.231490 2020-10-20 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:20.648389 START: 12:33:21.039177 END: 12:33:41.687566 2020-10-20 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00033119-2012_04-base-pr-002.dot * REASONING * DIS # I4: 5,8 # E1: 1,4 => CTR => E1: 2,3,6 * DIS # I4: 5,8 + E1: 2,3,6 # F1: 6 => CTR => F1: 1,4 * DIS # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # A4: 1,4 => CTR => A4: 2,3 * PRF # I4: 5,8 + E1: 2,3,6 + F1: 1,4 + A4: 2,3 # C2: 2,3 => SOL * STA # I4: 5,8 + E1: 2,3,6 + F1: 1,4 + A4: 2,3 + C2: 2,3 * CNT 4 HDP CHAINS / 18 HYP OPENED
Header Info
33119;2012_04;GP;21;11.40;11.40;9.90
Solution
position: 985731462623459871714628935372914658146582397859376214268197543591243786437865129 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 # I4: 5,8 => UNS * INC # H5: 5,8 => UNS * INC # I5: 5,8 => UNS * INC # A4: 5,8 => UNS * INC # C4: 5,8 => UNS * INC # F4: 5,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 5,8 => UNS * INC # H5: 5,8 => UNS * INC # I5: 5,8 => UNS * INC # A4: 5,8 => UNS * INC # C4: 5,8 => UNS * INC # F4: 5,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 5,8 => UNS * INC # H5: 5,8 => UNS * INC # I5: 5,8 => UNS * INC # A4: 5,8 => UNS * INC # C4: 5,8 => UNS * INC # F4: 5,8 => UNS * DIS # I4: 5,8 # E1: 1,4 => CTR => E1: 2,3,6 * INC # I4: 5,8 + E1: 2,3,6 # F1: 1,4 => UNS * INC # I4: 5,8 + E1: 2,3,6 # F1: 1,4 => UNS * DIS # I4: 5,8 + E1: 2,3,6 # F1: 6 => CTR => F1: 1,4 * INC # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # G9: 1,4 => UNS * INC # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # G9: 3,7,9 => UNS * INC # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # G9: 1,4 => UNS * INC # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # G9: 3,7,9 => UNS * INC # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # A4: 2,3 => UNS * DIS # I4: 5,8 + E1: 2,3,6 + F1: 1,4 # A4: 1,4 => CTR => A4: 2,3 * PRF # I4: 5,8 + E1: 2,3,6 + F1: 1,4 + A4: 2,3 # C2: 2,3 => SOL * STA # I4: 5,8 + E1: 2,3,6 + F1: 1,4 + A4: 2,3 + C2: 2,3 * CNT 17 HDP CHAINS / 18 HYP OPENED