Analysis of xx-ph-02320494-2019_03_16-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6....7.65......9..7..8....4....3.....2...56..8..5..3..9...79.1..8........6. initial
Autosolve
position: 98.7..6....7.65....5.9..7..8....4....3.....2...56..8..5..3..9...79.1..8........6. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:15.346768
The following important HDP chains were detected:
* PRF # A8: 2,6 # C7: 2,6 => SOL * STA # A8: 2,6 + C7: 2,6 * CNT 1 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6....7.65......9..7..8....4....3.....2...56..8..5..3..9...79.1..8........6. | initial |
| 98.7..6....7.65....5.9..7..8....4....3.....2...56..8..5..3..9...79.1..8........6. | autosolve |
| 983741652427865139156923748861254397734198526295637814542386971679512483318479265 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F8: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,I1: 5.. / H1 = 5 => 1 pairs (_) / I1 = 5 => 4 pairs (_) H1,H4: 5.. / H1 = 5 => 1 pairs (_) / H4 = 5 => 4 pairs (_) A3,C3: 6.. / A3 = 6 => 0 pairs (_) / C3 = 6 => 3 pairs (_) I4,I5: 6.. / I4 = 6 => 1 pairs (_) / I5 = 6 => 2 pairs (_) F7,F8: 6.. / F7 = 6 => 4 pairs (_) / F8 = 6 => 0 pairs (_) A8,F8: 6.. / A8 = 6 => 4 pairs (_) / F8 = 6 => 0 pairs (_) B4,B7: 6.. / B4 = 6 => 3 pairs (_) / B7 = 6 => 0 pairs (_) A5,A6: 7.. / A5 = 7 => 1 pairs (_) / A6 = 7 => 1 pairs (_) I2,I3: 8.. / I2 = 8 => 1 pairs (_) / I3 = 8 => 2 pairs (_) C7,C9: 8.. / C7 = 8 => 1 pairs (_) / C9 = 8 => 2 pairs (_) D2,I2: 8.. / D2 = 8 => 2 pairs (_) / I2 = 8 => 1 pairs (_) H2,I2: 9.. / H2 = 9 => 1 pairs (_) / I2 = 9 => 4 pairs (_) B4,B6: 9.. / B4 = 9 => 0 pairs (_) / B6 = 9 => 1 pairs (_) E9,F9: 9.. / E9 = 9 => 3 pairs (_) / F9 = 9 => 1 pairs (_) * DURATION: 0:00:08.698349 START: 04:34:58.554208 END: 04:35:07.252557 2020-11-11 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:15.205127 START: 04:35:10.488966 END: 04:35:25.694093 2020-11-11 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-02320494-2019_03_16-base-pr-002.dot * REASONING * PRF # A8: 2,6 # C7: 2,6 => SOL * STA # A8: 2,6 + C7: 2,6 * CNT 1 HDP CHAINS / 29 HYP OPENED
Header Info
2320494;2019_03_16;PAQ;24;11.40;1.20;1.20
Solution
position: 983741652427865139156923748861254397734198526295637814542386971679512483318479265 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 # F7: 2,6 => UNS * INC # F7: 7,8 => UNS * INC # A8: 2,6 => UNS * INC # A8: 3,4 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F7: 2,6 => UNS * INC # F7: 7,8 => UNS * INC # A8: 2,6 => UNS * INC # A8: 3,4 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F7: 2,6 => UNS * INC # F7: 7,8 => UNS * INC # A8: 2,6 => UNS * INC # A8: 3,4 => UNS * INC # F7: 2,6 # F3: 1,3 => UNS * INC # F7: 2,6 # F3: 8 => UNS * INC # F7: 2,6 # C1: 1,3 => UNS * INC # F7: 2,6 # H1: 1,3 => UNS * INC # F7: 2,6 # I1: 1,3 => UNS * INC # F7: 2,6 # F6: 1,3 => UNS * INC # F7: 2,6 # F6: 7,9 => UNS * INC # F7: 2,6 # B7: 2,6 => UNS * INC # F7: 2,6 # C7: 2,6 => UNS * INC # F7: 2,6 # D9: 4,5 => UNS * INC # F7: 2,6 # E9: 4,5 => UNS * INC # F7: 2,6 # G8: 4,5 => UNS * INC # F7: 2,6 # I8: 4,5 => UNS * INC # F7: 2,6 # A8: 2,6 => UNS * INC # F7: 2,6 # A8: 3,4 => UNS * INC # F7: 2,6 => UNS * INC # F7: 7,8 # E7: 7,8 => UNS * INC # F7: 7,8 # E9: 7,8 => UNS * INC # F7: 7,8 # F9: 7,8 => UNS * INC # F7: 7,8 # F5: 7,8 => UNS * INC # F7: 7,8 # F5: 1,9 => UNS * INC # F7: 7,8 => UNS * INC # A8: 2,6 # B7: 2,6 => UNS * PRF # A8: 2,6 # C7: 2,6 => SOL * STA # A8: 2,6 + C7: 2,6 * CNT 28 HDP CHAINS / 29 HYP OPENED