Analysis of xx-ph-00011630-kz0-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6...5.8....5....7.4......83..85..6.......2.1..3...4.....69..7......1...2 initial
Autosolve
position: 98.7.....6...5.8....5....7.4......83..85..6.......2.1..3...4.....69..7......1...2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:22.615382
The following important HDP chains were detected:
* DIS # B4: 1,6 # D6: 3,4 => CTR => D6: 6,8 * DIS # B4: 1,6 + D6: 6,8 # E6: 3,4 => CTR => E6: 6,8 * DIS # B4: 1,6 + D6: 6,8 + E6: 6,8 # G3: 4,9 => CTR => G3: 1,2,3 * DIS # B4: 1,6 + D6: 6,8 + E6: 6,8 + G3: 1,2,3 # G9: 4,9 => CTR => G9: 3 * PRF # B4: 1,6 + D6: 6,8 + E6: 6,8 + G3: 1,2,3 + G9: 3 => SOL * STA B4: 1,6 * CNT 5 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6...5.8....5....7.4......83..85..6.......2.1..3...4.....69..7......1...2 | initial |
| 98.7.....6...5.8....5....7.4......83..85..6.......2.1..3...4.....69..7......1...2 | autosolve |
| 984726135627351894315489276462197583198543627753862419531274968246938751879615342 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D4: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H5: 2.. / G4 = 2 => 3 pairs (_) / H5 = 2 => 2 pairs (_) F8,F9: 5.. / F8 = 5 => 2 pairs (_) / F9 = 5 => 3 pairs (_) B4,G4: 5.. / B4 = 5 => 3 pairs (_) / G4 = 5 => 3 pairs (_) B4,B6: 6.. / B4 = 6 => 11 pairs (_) / B6 = 6 => 1 pairs (_) B2,C2: 7.. / B2 = 7 => 1 pairs (_) / C2 = 7 => 3 pairs (_) I5,I6: 7.. / I5 = 7 => 1 pairs (_) / I6 = 7 => 5 pairs (_) E7,F9: 7.. / E7 = 7 => 2 pairs (_) / F9 = 7 => 4 pairs (_) D6,E6: 8.. / D6 = 8 => 3 pairs (_) / E6 = 8 => 2 pairs (_) I7,I8: 8.. / I7 = 8 => 2 pairs (_) / I8 = 8 => 3 pairs (_) * DURATION: 0:00:05.698113 START: 20:47:09.895873 END: 20:47:15.593986 2020-12-01 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:22.454437 START: 20:47:20.562228 END: 20:47:43.016665 2020-12-01 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00011630-kz0-base-pr-002.dot * REASONING * DIS # B4: 1,6 # D6: 3,4 => CTR => D6: 6,8 * DIS # B4: 1,6 + D6: 6,8 # E6: 3,4 => CTR => E6: 6,8 * DIS # B4: 1,6 + D6: 6,8 + E6: 6,8 # G3: 4,9 => CTR => G3: 1,2,3 * DIS # B4: 1,6 + D6: 6,8 + E6: 6,8 + G3: 1,2,3 # G9: 4,9 => CTR => G9: 3 * PRF # B4: 1,6 + D6: 6,8 + E6: 6,8 + G3: 1,2,3 + G9: 3 => SOL * STA B4: 1,6 * CNT 5 HDP CHAINS / 36 HYP OPENED
Header Info
11630;kz0;GP;23;11.30;11.30;10.00
Solution
position: 984726135627351894315489276462197583198543627753862419531274968246938751879615342 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 # F4: 1,6 => UNS * INC # F4: 7,9 => UNS * INC # B4: 1,6 => UNS * INC # B4: 2,5,7,9 => UNS * INC # D3: 1,6 => UNS * INC # D3: 2,3,4,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 1,6 => UNS * INC # F4: 7,9 => UNS * INC # B4: 1,6 => UNS * INC # B4: 2,5,7,9 => UNS * INC # D3: 1,6 => UNS * INC # D3: 2,3,4,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 1,6 => UNS * INC # F4: 7,9 => UNS * INC # B4: 1,6 => UNS * INC # B4: 2,5,7,9 => UNS * INC # D3: 1,6 => UNS * INC # D3: 2,3,4,8 => UNS * INC # F4: 1,6 # D3: 1,6 => UNS * INC # F4: 1,6 # D3: 2,3,4,8 => UNS * INC # F4: 1,6 # E5: 7,9 => UNS * INC # F4: 1,6 # F5: 7,9 => UNS * INC # F4: 1,6 # E6: 7,9 => UNS * INC # F4: 1,6 # B4: 7,9 => UNS * INC # F4: 1,6 # C4: 7,9 => UNS * INC # F4: 1,6 # F1: 1,6 => UNS * INC # F4: 1,6 # F3: 1,6 => UNS * INC # F4: 1,6 => UNS * INC # F4: 7,9 # B4: 1,6 => UNS * INC # F4: 7,9 # B4: 2,5,7,9 => UNS * INC # F4: 7,9 # D3: 1,6 => UNS * INC # F4: 7,9 # D3: 2,3,4,8 => UNS * INC # F4: 7,9 # E4: 7,9 => UNS * INC # F4: 7,9 # E5: 7,9 => UNS * INC # F4: 7,9 # F5: 7,9 => UNS * INC # F4: 7,9 # E6: 7,9 => UNS * INC # F4: 7,9 # B4: 7,9 => UNS * INC # F4: 7,9 # C4: 7,9 => UNS * INC # F4: 7,9 => UNS * INC # B4: 1,6 # D3: 1,6 => UNS * INC # B4: 1,6 # D3: 2,3,4,8 => UNS * DIS # B4: 1,6 # D6: 3,4 => CTR => D6: 6,8 * DIS # B4: 1,6 + D6: 6,8 # E6: 3,4 => CTR => E6: 6,8 * INC # B4: 1,6 + D6: 6,8 + E6: 6,8 # I6: 4,9 => UNS * INC # B4: 1,6 + D6: 6,8 + E6: 6,8 # I6: 7 => UNS * DIS # B4: 1,6 + D6: 6,8 + E6: 6,8 # G3: 4,9 => CTR => G3: 1,2,3 * DIS # B4: 1,6 + D6: 6,8 + E6: 6,8 + G3: 1,2,3 # G9: 4,9 => CTR => G9: 3 * PRF # B4: 1,6 + D6: 6,8 + E6: 6,8 + G3: 1,2,3 + G9: 3 => SOL * STA B4: 1,6 * CNT 36 HDP CHAINS / 36 HYP OPENED