Analysis of xx-ph-01055487-13_07-base.sdk
Contents
Original Sudoku
level: hard
position: 98.76.5..7..........4.58.7.5...79.4.......3..........24.....1...7..45.8...56..... initial
Autosolve
position: 98.76.5..75.........4.58.7.5...79.4.......3..........24.....1...7..45.8...56..... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:43.974975
The following important HDP chains were detected:
* DIS # G6: 6,8 # C2: 1,2 => CTR => C2: 3,6 * DIS # G6: 6,8 + C2: 3,6 # H2: 6 => CTR => H2: 1,2 * DIS # G6: 6,8 + C2: 3,6 + H2: 1,2 # A3: 1,2 => CTR => A3: 3 * DIS # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 # C5: 1,2 => CTR => C5: 8,9 * PRF # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 + C5: 8,9 # D2: 1,2 => SOL * STA # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 + C5: 8,9 + D2: 1,2 * CNT 5 HDP CHAINS / 52 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.76.5..7..........4.58.7.5...79.4.......3..........24.....1...7..45.8...56..... | initial |
| 98.76.5..75.........4.58.7.5...79.4.......3..........24.....1...7..45.8...56..... | autosolve |
| 982764513756193428314258976523879641869412357147536892438927165671345289295681734 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G4: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B5,B6: 4.. / B5 = 4 => 1 pairs (_) / B6 = 4 => 1 pairs (_) G9,I9: 4.. / G9 = 4 => 1 pairs (_) / I9 = 4 => 7 pairs (_) F1,I1: 4.. / F1 = 4 => 6 pairs (_) / I1 = 4 => 1 pairs (_) G2,G9: 4.. / G2 = 4 => 7 pairs (_) / G9 = 4 => 1 pairs (_) D5,D6: 5.. / D5 = 5 => 3 pairs (_) / D6 = 5 => 1 pairs (_) H7,I7: 5.. / H7 = 5 => 2 pairs (_) / I7 = 5 => 3 pairs (_) D6,H6: 5.. / D6 = 5 => 1 pairs (_) / H6 = 5 => 3 pairs (_) I5,I7: 5.. / I5 = 5 => 2 pairs (_) / I7 = 5 => 3 pairs (_) F5,F6: 6.. / F5 = 6 => 1 pairs (_) / F6 = 6 => 1 pairs (_) C5,C6: 7.. / C5 = 7 => 1 pairs (_) / C6 = 7 => 5 pairs (_) I5,G6: 7.. / I5 = 7 => 5 pairs (_) / G6 = 7 => 1 pairs (_) F7,F9: 7.. / F7 = 7 => 3 pairs (_) / F9 = 7 => 3 pairs (_) C5,I5: 7.. / C5 = 7 => 1 pairs (_) / I5 = 7 => 5 pairs (_) C6,G6: 7.. / C6 = 7 => 5 pairs (_) / G6 = 7 => 1 pairs (_) F7,I7: 7.. / F7 = 7 => 3 pairs (_) / I7 = 7 => 3 pairs (_) G6,G9: 7.. / G6 = 7 => 1 pairs (_) / G9 = 7 => 5 pairs (_) G2,I2: 8.. / G2 = 8 => 3 pairs (_) / I2 = 8 => 2 pairs (_) C7,A9: 8.. / C7 = 8 => 3 pairs (_) / A9 = 8 => 1 pairs (_) A9,E9: 8.. / A9 = 8 => 1 pairs (_) / E9 = 8 => 3 pairs (_) * DURATION: 0:00:13.373163 START: 20:29:29.043417 END: 20:29:42.416580 2021-01-12 * CP COUNT: (19) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:43.658129 START: 20:29:48.911097 END: 20:30:32.569226 2021-01-12 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-01055487-13_07-base-pr-002.dot * REASONING * DIS # G6: 6,8 # C2: 1,2 => CTR => C2: 3,6 * DIS # G6: 6,8 + C2: 3,6 # H2: 6 => CTR => H2: 1,2 * DIS # G6: 6,8 + C2: 3,6 + H2: 1,2 # A3: 1,2 => CTR => A3: 3 * DIS # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 # C5: 1,2 => CTR => C5: 8,9 * PRF # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 + C5: 8,9 # D2: 1,2 => SOL * STA # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 + C5: 8,9 + D2: 1,2 * CNT 5 HDP CHAINS / 52 HYP OPENED
Header Info
1055487;13_07;GP;24;11.30;1.20;1.20
Solution
position: 982764513756193428314258976523879641869412357147536892438927165671345289295681734 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: 6,8 => UNS * INC # I5: 6,8 => UNS * INC # G6: 6,8 => UNS * INC # C4: 6,8 => UNS * INC # C4: 1,2,3 => UNS * INC # G2: 6,8 => UNS * INC # G2: 2,4,9 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 6,8 => UNS * INC # I5: 6,8 => UNS * INC # G6: 6,8 => UNS * INC # C4: 6,8 => UNS * INC # C4: 1,2,3 => UNS * INC # G2: 6,8 => UNS * INC # G2: 2,4,9 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 6,8 => UNS * INC # I5: 6,8 => UNS * INC # G6: 6,8 => UNS * INC # C4: 6,8 => UNS * INC # C4: 1,2,3 => UNS * INC # G2: 6,8 => UNS * INC # G2: 2,4,9 => UNS * INC # I4: 6,8 # G2: 6,8 => UNS * INC # I4: 6,8 # G2: 2,4,9 => UNS * INC # I4: 6,8 # I2: 6,8 => UNS * INC # I4: 6,8 # I2: 1,3,4,9 => UNS * INC # I4: 6,8 # I5: 7,9 => UNS * INC # I4: 6,8 # I5: 1,5 => UNS * INC # I4: 6,8 # C6: 7,9 => UNS * INC # I4: 6,8 # C6: 1,3,6,8 => UNS * INC # I4: 6,8 # G9: 7,9 => UNS * INC # I4: 6,8 # G9: 2,4 => UNS * INC # I4: 6,8 => UNS * INC # I5: 6,8 # I2: 3,4 => UNS * INC # I5: 6,8 # I2: 6,8,9 => UNS * INC # I5: 6,8 # F1: 3,4 => UNS * INC # I5: 6,8 # F1: 1,2 => UNS * INC # I5: 6,8 # C4: 6,8 => UNS * INC # I5: 6,8 # C4: 2,3 => UNS * INC # I5: 6,8 # G2: 6,8 => UNS * INC # I5: 6,8 # G2: 2,9 => UNS * INC # I5: 6,8 # A5: 6,8 => UNS * INC # I5: 6,8 # A5: 1,2 => UNS * INC # I5: 6,8 # I2: 6,8 => UNS * INC # I5: 6,8 # I2: 3,4,9 => UNS * INC # I5: 6,8 # H7: 2,3 => UNS * INC # I5: 6,8 # H7: 6 => UNS * INC # I5: 6,8 # A9: 2,3 => UNS * INC # I5: 6,8 # B9: 2,3 => UNS * INC # I5: 6,8 # E9: 2,3 => UNS * INC # I5: 6,8 # F9: 2,3 => UNS * INC # I5: 6,8 # H1: 2,3 => UNS * INC # I5: 6,8 # H2: 2,3 => UNS * INC # I5: 6,8 => UNS * DIS # G6: 6,8 # C2: 1,2 => CTR => C2: 3,6 * INC # G6: 6,8 + C2: 3,6 # A3: 1,2 => UNS * INC # G6: 6,8 + C2: 3,6 # B3: 1,2 => UNS * INC # G6: 6,8 + C2: 3,6 # C5: 1,2 => UNS * INC # G6: 6,8 + C2: 3,6 # C8: 1,2 => UNS * INC # G6: 6,8 + C2: 3,6 # H2: 1,2 => UNS * DIS # G6: 6,8 + C2: 3,6 # H2: 6 => CTR => H2: 1,2 * INC # G6: 6,8 + C2: 3,6 + H2: 1,2 # B5: 4,9 => UNS * INC # G6: 6,8 + C2: 3,6 + H2: 1,2 # B5: 1,2,6 => UNS * DIS # G6: 6,8 + C2: 3,6 + H2: 1,2 # A3: 1,2 => CTR => A3: 3 * DIS # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 # C5: 1,2 => CTR => C5: 8,9 * PRF # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 + C5: 8,9 # D2: 1,2 => SOL * STA # G6: 6,8 + C2: 3,6 + H2: 1,2 + A3: 3 + C5: 8,9 + D2: 1,2 * CNT 51 HDP CHAINS / 52 HYP OPENED