Analysis of xx-ph-00016392-Kz1_b-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....65....7....7.6....4...3..2...56..8.......1..3..98..6......2..1......6..4 initial
Autosolve
position: 98.7.....65....7....7.6....4...3..2...56..8.......1..3..98..6......2..1......6..4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:47.680270
The following important HDP chains were detected:
* DIS # F4: 5,9 # A9: 1,3 => CTR => A9: 2,5,7,8 * DIS # F4: 5,9 + A9: 2,5,7,8 # D3: 5,9 => CTR => D3: 1,2,3 * DIS # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # F8: 5,9 => CTR => F8: 3,4,7 * DIS # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # H9: 3,9 => CTR => H9: 5,7,8 * PRF # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 # G9: 2 => SOL * STA # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 + G9: 2 * CNT 5 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....65....7....7.6....4...3..2...56..8.......1..3..98..6......2..1......6..4 | initial |
| 98.7.....65....7....7.6....4...3..2...56..8.......1..3..98..6......2..1......6..4 | autosolve |
| 982753461653148792147269358478935126315672849296481573529814637864327915731596284 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D4: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F5,D6: 2.. / F5 = 2 => 1 pairs (_) / D6 = 2 => 9 pairs (_) I7,G9: 2.. / I7 = 2 => 1 pairs (_) / G9 = 2 => 2 pairs (_) A5,B5: 3.. / A5 = 3 => 2 pairs (_) / B5 = 3 => 1 pairs (_) H1,I1: 6.. / H1 = 6 => 2 pairs (_) / I1 = 6 => 2 pairs (_) I4,H6: 6.. / I4 = 6 => 2 pairs (_) / H6 = 6 => 2 pairs (_) B8,C8: 6.. / B8 = 6 => 1 pairs (_) / C8 = 6 => 3 pairs (_) H1,H6: 6.. / H1 = 6 => 2 pairs (_) / H6 = 6 => 2 pairs (_) I1,I4: 6.. / I1 = 6 => 2 pairs (_) / I4 = 6 => 2 pairs (_) F4,E6: 8.. / F4 = 8 => 2 pairs (_) / E6 = 8 => 3 pairs (_) I8,H9: 8.. / I8 = 8 => 1 pairs (_) / H9 = 8 => 1 pairs (_) C4,F4: 8.. / C4 = 8 => 3 pairs (_) / F4 = 8 => 2 pairs (_) E2,E6: 8.. / E2 = 8 => 2 pairs (_) / E6 = 8 => 3 pairs (_) * DURATION: 0:00:08.507145 START: 11:52:36.472044 END: 11:52:44.979189 2020-10-19 * CP COUNT: (12) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:47.508855 START: 11:52:52.608052 END: 11:53:40.116907 2020-10-19 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00016392-Kz1_b-base-pr-002.dot * REASONING * DIS # F4: 5,9 # A9: 1,3 => CTR => A9: 2,5,7,8 * DIS # F4: 5,9 + A9: 2,5,7,8 # D3: 5,9 => CTR => D3: 1,2,3 * DIS # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # F8: 5,9 => CTR => F8: 3,4,7 * DIS # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # H9: 3,9 => CTR => H9: 5,7,8 * PRF # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 # G9: 2 => SOL * STA # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 + G9: 2 * CNT 5 HDP CHAINS / 36 HYP OPENED
Header Info
16392;Kz1 b;GP;23;11.40;11.40;10.30
Solution
position: 982753461653148792147269358478935126315672849296481573529814637864327915731596284 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: 5,9 => UNS * INC # D6: 5,9 => UNS * INC # E6: 5,9 => UNS * INC # G4: 5,9 => UNS * INC # I4: 5,9 => UNS * INC # D3: 5,9 => UNS * INC # D8: 5,9 => UNS * INC # D9: 5,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 5,9 => UNS * INC # D6: 5,9 => UNS * INC # E6: 5,9 => UNS * INC # G4: 5,9 => UNS * INC # I4: 5,9 => UNS * INC # D3: 5,9 => UNS * INC # D8: 5,9 => UNS * INC # D9: 5,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 5,9 => UNS * INC # D6: 5,9 => UNS * INC # E6: 5,9 => UNS * INC # G4: 5,9 => UNS * INC # I4: 5,9 => UNS * INC # D3: 5,9 => UNS * INC # D8: 5,9 => UNS * INC # D9: 5,9 => UNS * INC # F4: 5,9 # B8: 6,7 => UNS * INC # F4: 5,9 # B8: 3,4 => UNS * INC # F4: 5,9 # A3: 1,3 => UNS * INC # F4: 5,9 # A7: 1,3 => UNS * DIS # F4: 5,9 # A9: 1,3 => CTR => A9: 2,5,7,8 * INC # F4: 5,9 + A9: 2,5,7,8 # A3: 1,3 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 # A7: 1,3 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 # B3: 1,3 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 # B7: 1,3 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 # B9: 1,3 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 # A7: 2,7 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 # A9: 2,7 => UNS * DIS # F4: 5,9 + A9: 2,5,7,8 # D3: 5,9 => CTR => D3: 1,2,3 * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # D8: 5,9 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # D9: 5,9 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # D8: 5,9 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # D9: 5,9 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # F3: 5,9 => UNS * DIS # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 # F8: 5,9 => CTR => F8: 3,4,7 * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # F3: 5,9 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # F3: 3,4,8 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # F3: 5,9 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # F3: 3,4,8 => UNS * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # G9: 3,9 => UNS * DIS # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 # H9: 3,9 => CTR => H9: 5,7,8 * INC # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 # G9: 3,9 => UNS * PRF # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 # G9: 2 => SOL * STA # F4: 5,9 + A9: 2,5,7,8 + D3: 1,2,3 + F8: 3,4,7 + H9: 5,7,8 + G9: 2 * CNT 35 HDP CHAINS / 36 HYP OPENED