Analysis of xx-ph-00009355-cy4-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. initial
Autosolve
position: 98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:38.090148
The following important HDP chains were detected:
* PRF # G2: 2,5 # D4: 4,8 => SOL * STA # G2: 2,5 + D4: 4,8 * CNT 1 HDP CHAINS / 74 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. | initial |
| 98.7.....6...8......5..68..5....96....4.7..3....2....1.5....9.....1....2....3..7. | autosolve |
| 981724356643581297725396814537419628214678539896253741152847963379165482468932175 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) E4: 1,4 G5: 2,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E4,F5: 1.. / E4 = 1 => 2 pairs (_) / F5 = 1 => 7 pairs (_) H7,G9: 1.. / H7 = 1 => 3 pairs (_) / G9 = 1 => 2 pairs (_) H4,G5: 2.. / H4 = 2 => 7 pairs (_) / G5 = 2 => 3 pairs (_) D4,F6: 3.. / D4 = 3 => 3 pairs (_) / F6 = 3 => 4 pairs (_) I7,G8: 3.. / I7 = 3 => 3 pairs (_) / G8 = 3 => 2 pairs (_) H1,I1: 6.. / H1 = 6 => 2 pairs (_) / I1 = 6 => 2 pairs (_) D5,E6: 6.. / D5 = 6 => 4 pairs (_) / E6 = 6 => 4 pairs (_) B5,D5: 6.. / B5 = 6 => 4 pairs (_) / D5 = 6 => 4 pairs (_) I4,G6: 7.. / I4 = 7 => 3 pairs (_) / G6 = 7 => 4 pairs (_) F7,F8: 7.. / F7 = 7 => 2 pairs (_) / F8 = 7 => 2 pairs (_) G2,G6: 7.. / G2 = 7 => 3 pairs (_) / G6 = 7 => 4 pairs (_) I5,H6: 9.. / I5 = 9 => 2 pairs (_) / H6 = 9 => 5 pairs (_) E8,D9: 9.. / E8 = 9 => 2 pairs (_) / D9 = 9 => 3 pairs (_) B5,I5: 9.. / B5 = 9 => 5 pairs (_) / I5 = 9 => 2 pairs (_) E3,E8: 9.. / E3 = 9 => 3 pairs (_) / E8 = 9 => 2 pairs (_) * DURATION: 0:00:08.465566 START: 05:35:21.841598 END: 05:35:30.307164 2020-12-01 * CP COUNT: (15) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:37.699576 START: 05:35:33.557904 END: 05:36:11.257480 2020-12-01 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00009355-cy4-base-pr-002.dot * REASONING * PRF # G2: 2,5 # D4: 4,8 => SOL * STA # G2: 2,5 + D4: 4,8 * CNT 1 HDP CHAINS / 74 HYP OPENED
Header Info
9355;cy4;GP;22;11.30;11.30;10.50
Solution
position: 981724356643581297725396814537419628214678539896253741152847963379165482468932175 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 # E1: 1,4 => UNS * INC # E3: 1,4 => UNS * INC # G1: 2,5 => UNS * INC # G2: 2,5 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E1: 1,4 => UNS * INC # E3: 1,4 => UNS * INC # G1: 2,5 => UNS * INC # G2: 2,5 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E1: 1,4 => UNS * INC # E3: 1,4 => UNS * INC # G1: 2,5 => UNS * INC # G2: 2,5 => UNS * INC # E1: 1,4 # F1: 1,4 => UNS * INC # E1: 1,4 # F2: 1,4 => UNS * INC # E1: 1,4 # G1: 1,4 => UNS * INC # E1: 1,4 # H1: 1,4 => UNS * INC # E1: 1,4 # H3: 2,9 => UNS * INC # E1: 1,4 # H3: 1,4 => UNS * INC # E1: 1,4 # D5: 5,6 => UNS * INC # E1: 1,4 # D5: 8 => UNS * INC # E1: 1,4 # E8: 5,6 => UNS * INC # E1: 1,4 # E8: 9 => UNS * INC # E1: 1,4 # G1: 2,5 => UNS * INC # E1: 1,4 # G2: 2,5 => UNS * INC # E1: 1,4 # C7: 2,6 => UNS * INC # E1: 1,4 # C7: 1,3,7,8 => UNS * INC # E1: 1,4 => UNS * INC # E3: 1,4 # F1: 2,5 => UNS * INC # E3: 1,4 # F2: 2,5 => UNS * INC # E3: 1,4 # G1: 2,5 => UNS * INC # E3: 1,4 # H1: 2,5 => UNS * INC # E3: 1,4 # F1: 1,4 => UNS * INC # E3: 1,4 # F2: 1,4 => UNS * INC # E3: 1,4 # A3: 1,4 => UNS * INC # E3: 1,4 # B3: 1,4 => UNS * INC # E3: 1,4 # H3: 1,4 => UNS * INC # E3: 1,4 # D5: 5,6 => UNS * INC # E3: 1,4 # D5: 8 => UNS * INC # E3: 1,4 # G1: 2,5 => UNS * INC # E3: 1,4 # G2: 2,5 => UNS * INC # E3: 1,4 # C7: 2,6 => UNS * INC # E3: 1,4 # C7: 1,3,7,8 => UNS * INC # E3: 1,4 => UNS * INC # G1: 2,5 # H1: 2,5 => UNS * INC # G1: 2,5 # H2: 2,5 => UNS * INC # G1: 2,5 # E1: 2,5 => UNS * INC # G1: 2,5 # F1: 2,5 => UNS * INC # G1: 2,5 # E1: 1,4 => UNS * INC # G1: 2,5 # E3: 1,4 => UNS * INC # G1: 2,5 # I4: 4,7 => UNS * INC # G1: 2,5 # I4: 8 => UNS * INC # G1: 2,5 # G2: 4,7 => UNS * INC # G1: 2,5 # G2: 1,3 => UNS * INC # G1: 2,5 # I7: 3,4 => UNS * INC # G1: 2,5 # I7: 6,8 => UNS * INC # G1: 2,5 # A8: 3,4 => UNS * INC # G1: 2,5 # B8: 3,4 => UNS * INC # G1: 2,5 # G2: 3,4 => UNS * INC # G1: 2,5 # G2: 1,7 => UNS * INC # G1: 2,5 # H7: 1,4 => UNS * INC # G1: 2,5 # H7: 6,8 => UNS * INC # G1: 2,5 # A9: 1,4 => UNS * INC # G1: 2,5 # B9: 1,4 => UNS * INC # G1: 2,5 # G2: 1,4 => UNS * INC # G1: 2,5 # G2: 3,7 => UNS * INC # G1: 2,5 => UNS * INC # G2: 2,5 # H1: 2,5 => UNS * INC # G2: 2,5 # H2: 2,5 => UNS * INC # G2: 2,5 # F2: 2,5 => UNS * INC # G2: 2,5 # F2: 1,3,4 => UNS * INC # G2: 2,5 # C4: 3,8 => UNS * INC # G2: 2,5 # C6: 3,8 => UNS * INC # G2: 2,5 # F6: 3,8 => UNS * INC # G2: 2,5 # F6: 4,5 => UNS * INC # G2: 2,5 # A7: 3,8 => UNS * INC # G2: 2,5 # A8: 3,8 => UNS * INC # G2: 2,5 # E1: 1,4 => UNS * INC # G2: 2,5 # E3: 1,4 => UNS * INC # G2: 2,5 # H4: 4,8 => UNS * INC # G2: 2,5 # H6: 4,8 => UNS * PRF # G2: 2,5 # D4: 4,8 => SOL * STA # G2: 2,5 + D4: 4,8 * CNT 73 HDP CHAINS / 74 HYP OPENED