Analysis of xx-ph-00000567-H98-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. initial
Autosolve
position: 98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:34.537723
The following important HDP chains were detected:
* DIS # B9: 6,7 # B4: 1,3 => CTR => B4: 9 * DIS # B9: 6,7 + B4: 9 # D4: 1,2 => CTR => D4: 3,4 * DIS # B9: 6,7 + B4: 9 + D4: 3,4 # F4: 1,2 => CTR => F4: 3,4,7 * DIS # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 # E7: 6,7 => CTR => E7: 2,3,4 * PRF # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # G2: 3,5 => SOL * STA # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 + G2: 3,5 * CNT 5 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. | initial |
| 98.7..6......96.......85...6...5.8...4.....3...7.....25....91...2......7..3....4. | autosolve |
| 981743625254196378736285491692357814845912736317864952578429163429631587163578249 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B7: 6,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G9: 2.. / H7 = 2 => 3 pairs (_) / G9 = 2 => 2 pairs (_) I7,G8: 3.. / I7 = 3 => 2 pairs (_) / G8 = 3 => 2 pairs (_) I4,G6: 4.. / I4 = 4 => 2 pairs (_) / G6 = 4 => 2 pairs (_) C5,B6: 5.. / C5 = 5 => 4 pairs (_) / B6 = 5 => 2 pairs (_) D8,D9: 5.. / D8 = 5 => 2 pairs (_) / D9 = 5 => 2 pairs (_) B2,B6: 5.. / B2 = 5 => 4 pairs (_) / B6 = 5 => 2 pairs (_) B3,C3: 6.. / B3 = 6 => 2 pairs (_) / C3 = 6 => 2 pairs (_) I5,H6: 6.. / I5 = 6 => 2 pairs (_) / H6 = 6 => 2 pairs (_) H4,G5: 7.. / H4 = 7 => 2 pairs (_) / G5 = 7 => 2 pairs (_) F4,H4: 7.. / F4 = 7 => 2 pairs (_) / H4 = 7 => 2 pairs (_) B7,E7: 7.. / B7 = 7 => 1 pairs (_) / E7 = 7 => 3 pairs (_) H2,I2: 8.. / H2 = 8 => 2 pairs (_) / I2 = 8 => 2 pairs (_) C8,B9: 9.. / C8 = 9 => 3 pairs (_) / B9 = 9 => 3 pairs (_) * DURATION: 0:00:08.947399 START: 03:02:08.508266 END: 03:02:17.455665 2020-11-20 * CP COUNT: (13) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:34.331208 START: 03:02:22.640049 END: 03:02:56.971257 2020-11-20 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000567-H98-base-pr-002.dot * REASONING * DIS # B9: 6,7 # B4: 1,3 => CTR => B4: 9 * DIS # B9: 6,7 + B4: 9 # D4: 1,2 => CTR => D4: 3,4 * DIS # B9: 6,7 + B4: 9 + D4: 3,4 # F4: 1,2 => CTR => F4: 3,4,7 * DIS # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 # E7: 6,7 => CTR => E7: 2,3,4 * PRF # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # G2: 3,5 => SOL * STA # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 + G2: 3,5 * CNT 5 HDP CHAINS / 29 HYP OPENED
Header Info
567;H98;GP;22;11.30;11.30;11.00
Solution
position: 981743625254196378736285491692357814845912736317864952578429163429631587163578249 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 # B9: 6,7 => UNS * INC # B9: 1,9 => UNS * INC # E7: 6,7 => UNS * INC # E7: 2,3,4 => UNS * INC # B3: 6,7 => UNS * INC # B3: 1,3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B9: 6,7 => UNS * INC # B9: 1,9 => UNS * INC # E7: 6,7 => UNS * INC # E7: 2,3,4 => UNS * INC # B3: 6,7 => UNS * INC # B3: 1,3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B9: 6,7 => UNS * INC # B9: 1,9 => UNS * INC # E7: 6,7 => UNS * INC # E7: 2,3,4 => UNS * INC # B3: 6,7 => UNS * INC # B3: 1,3 => UNS * INC # B9: 6,7 # B2: 1,3 => UNS * INC # B9: 6,7 # B2: 5 => UNS * INC # B9: 6,7 # D3: 1,3 => UNS * INC # B9: 6,7 # I3: 1,3 => UNS * DIS # B9: 6,7 # B4: 1,3 => CTR => B4: 9 * INC # B9: 6,7 + B4: 9 # B6: 1,3 => UNS * INC # B9: 6,7 + B4: 9 # B6: 1,3 => UNS * INC # B9: 6,7 + B4: 9 # B6: 5 => UNS * INC # B9: 6,7 + B4: 9 # B2: 1,3 => UNS * INC # B9: 6,7 + B4: 9 # B2: 5 => UNS * INC # B9: 6,7 + B4: 9 # D3: 1,3 => UNS * INC # B9: 6,7 + B4: 9 # I3: 1,3 => UNS * INC # B9: 6,7 + B4: 9 # B6: 1,3 => UNS * INC # B9: 6,7 + B4: 9 # B6: 5 => UNS * INC # B9: 6,7 + B4: 9 # C5: 1,2 => UNS * INC # B9: 6,7 + B4: 9 # C5: 5,8 => UNS * DIS # B9: 6,7 + B4: 9 # D4: 1,2 => CTR => D4: 3,4 * DIS # B9: 6,7 + B4: 9 + D4: 3,4 # F4: 1,2 => CTR => F4: 3,4,7 * DIS # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 # E7: 6,7 => CTR => E7: 2,3,4 * INC # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # D8: 3,5 => UNS * INC # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # D8: 1,6,8 => UNS * PRF # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 # G2: 3,5 => SOL * STA # B9: 6,7 + B4: 9 + D4: 3,4 + F4: 3,4,7 + E7: 2,3,4 + G2: 3,5 * CNT 28 HDP CHAINS / 29 HYP OPENED