Analysis of xx-ph-00974167-13_03-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..5...9......7..6...45...3.....9.7.8....6.5..4..2.....1...5.6.9.........63 initial
Autosolve
position: 98.7..6..56..9......7..6...45...3.....9.7.8....6.5..4.62.....1...5.6.9...9.....63 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:16.101724
The following important HDP chains were detected:
* PRF # A6: 1,3 # B3: 1,3 => SOL * STA # A6: 1,3 + B3: 1,3 * CNT 1 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..5...9......7..6...45...3.....9.7.8....6.5..4..2.....1...5.6.9.........63 | initial |
| 98.7..6..56..9......7..6...45...3.....9.7.8....6.5..4.62.....1...5.6.9...9.....63 | autosolve |
| 984732651562198374137546289458213796219674835376859142623985417745361928891427563 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B5: 1,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H5,G6: 3.. / H5 = 3 => 9 pairs (_) / G6 = 3 => 3 pairs (_) D5,F5: 4.. / D5 = 4 => 5 pairs (_) / F5 = 4 => 1 pairs (_) B3,B8: 4.. / B3 = 4 => 1 pairs (_) / B8 = 4 => 4 pairs (_) F1,D3: 5.. / F1 = 5 => 2 pairs (_) / D3 = 5 => 1 pairs (_) H5,I5: 5.. / H5 = 5 => 3 pairs (_) / I5 = 5 => 4 pairs (_) D4,D5: 6.. / D4 = 6 => 4 pairs (_) / D5 = 6 => 1 pairs (_) I4,I5: 6.. / I4 = 6 => 1 pairs (_) / I5 = 6 => 4 pairs (_) D4,I4: 6.. / D4 = 6 => 4 pairs (_) / I4 = 6 => 1 pairs (_) D5,I5: 6.. / D5 = 6 => 1 pairs (_) / I5 = 6 => 4 pairs (_) A6,B6: 7.. / A6 = 7 => 10 pairs (_) / B6 = 7 => 1 pairs (_) B6,B8: 7.. / B6 = 7 => 1 pairs (_) / B8 = 7 => 10 pairs (_) C4,A6: 8.. / C4 = 8 => 5 pairs (_) / A6 = 8 => 4 pairs (_) H3,I3: 9.. / H3 = 9 => 4 pairs (_) / I3 = 9 => 2 pairs (_) D7,F7: 9.. / D7 = 9 => 2 pairs (_) / F7 = 9 => 2 pairs (_) F6,F7: 9.. / F6 = 9 => 2 pairs (_) / F7 = 9 => 2 pairs (_) H3,H4: 9.. / H3 = 9 => 4 pairs (_) / H4 = 9 => 2 pairs (_) * DURATION: 0:00:10.577492 START: 06:42:29.177012 END: 06:42:39.754504 2021-01-04 * CP COUNT: (16) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:15.954586 START: 06:42:43.969786 END: 06:42:59.924372 2021-01-04 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00974167-13_03-base-pr-002.dot * REASONING * PRF # A6: 1,3 # B3: 1,3 => SOL * STA # A6: 1,3 + B3: 1,3 * CNT 1 HDP CHAINS / 28 HYP OPENED
Header Info
974167;13_03;GP;24;11.30;1.20;1.20
Solution
position: 984732651562198374137546289458213796219674835376859142623985417745361928891427563 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 # A5: 1,3 => UNS * INC # A6: 1,3 => UNS * INC # B6: 1,3 => UNS * INC # B3: 1,3 => UNS * INC # B8: 1,3 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 1,3 => UNS * INC # A6: 1,3 => UNS * INC # B6: 1,3 => UNS * INC # B3: 1,3 => UNS * INC # B8: 1,3 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 1,3 => UNS * INC # A6: 1,3 => UNS * INC # B6: 1,3 => UNS * INC # B3: 1,3 => UNS * INC # B8: 1,3 => UNS * INC # A5: 1,3 # D4: 2,8 => UNS * INC # A5: 1,3 # E4: 2,8 => UNS * INC # A5: 1,3 # A3: 1,3 => UNS * INC # A5: 1,3 # A8: 1,3 => UNS * INC # A5: 1,3 # B3: 1,3 => UNS * INC # A5: 1,3 # B8: 1,3 => UNS * INC # A5: 1,3 # D6: 2,8 => UNS * INC # A5: 1,3 # F6: 2,8 => UNS * INC # A5: 1,3 # D5: 2,4 => UNS * INC # A5: 1,3 # D5: 6 => UNS * INC # A5: 1,3 # F1: 2,4 => UNS * INC # A5: 1,3 # F2: 2,4 => UNS * INC # A5: 1,3 # F8: 2,4 => UNS * INC # A5: 1,3 # F9: 2,4 => UNS * INC # A5: 1,3 # I5: 2,5 => UNS * INC # A5: 1,3 # I5: 6 => UNS * INC # A5: 1,3 # H1: 2,5 => UNS * INC # A5: 1,3 # H3: 2,5 => UNS * INC # A5: 1,3 => UNS * INC # A6: 1,3 # C1: 1,3 => UNS * INC # A6: 1,3 # C2: 1,3 => UNS * PRF # A6: 1,3 # B3: 1,3 => SOL * STA # A6: 1,3 + B3: 1,3 * CNT 27 HDP CHAINS / 28 HYP OPENED