Analysis of xx-ph-00328345-12_12_03-base.sdk
Contents
Original Sudoku
level: hard
position: ........1.....2..3..3.4..5.....6......6..53.457...3.6...5.7.8....7.3..4..3.9.8... initial
Autosolve
position: ...3....1.....2..3..3.4..5.3...6......6..53.457...3.6...5.7.83...7.3..4..3.9.8... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:24.346214
The following important HDP chains were detected:
* DIS # F7: 1,6 # E2: 5,8 => CTR => E2: 1 * DIS # F7: 1,6 + E2: 1 # D2: 6 => CTR => D2: 5,8 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 # A1: 7,9 => CTR => A1: 2,6,8 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 # H1: 2,8 => CTR => H1: 7,9 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 + H1: 7,9 # A3: 7,9 => CTR => A3: 1,8 * PRF # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 + H1: 7,9 + A3: 1,8 => SOL * STA F7: 1,6 * CNT 6 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........1.....2..3..3.4..5.....6......6..53.457...3.6...5.7.8....7.3..4..3.9.8... | initial |
| ...3....1.....2..3..3.4..5.3...6......6..53.457...3.6...5.7.83...7.3..4..3.9.8... | autosolve |
| 652387491749512683813649257398764512126895374574123968265471839987236145431958726 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F8: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,G2: 4.. / G1 = 4 => 1 pairs (_) / G2 = 4 => 1 pairs (_) A9,C9: 4.. / A9 = 4 => 3 pairs (_) / C9 = 4 => 1 pairs (_) D7,F7: 4.. / D7 = 4 => 11 pairs (_) / F7 = 4 => 1 pairs (_) C6,D6: 4.. / C6 = 4 => 5 pairs (_) / D6 = 4 => 1 pairs (_) F4,F7: 4.. / F4 = 4 => 11 pairs (_) / F7 = 4 => 1 pairs (_) B1,B2: 5.. / B1 = 5 => 2 pairs (_) / B2 = 5 => 2 pairs (_) G4,I4: 5.. / G4 = 5 => 1 pairs (_) / I4 = 5 => 1 pairs (_) D8,E9: 5.. / D8 = 5 => 2 pairs (_) / E9 = 5 => 2 pairs (_) B1,E1: 5.. / B1 = 5 => 2 pairs (_) / E1 = 5 => 2 pairs (_) D2,D8: 5.. / D2 = 5 => 2 pairs (_) / D8 = 5 => 2 pairs (_) D5,H5: 7.. / D5 = 7 => 1 pairs (_) / H5 = 7 => 3 pairs (_) A8,B8: 8.. / A8 = 8 => 1 pairs (_) / B8 = 8 => 1 pairs (_) * DURATION: 0:00:08.090368 START: 16:32:47.255499 END: 16:32:55.345867 2020-10-28 * CP COUNT: (12) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:24.137642 START: 16:33:02.495480 END: 16:33:26.633122 2020-10-28 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00328345-12_12_03-base-pr-002.dot * REASONING * DIS # F7: 1,6 # E2: 5,8 => CTR => E2: 1 * DIS # F7: 1,6 + E2: 1 # D2: 6 => CTR => D2: 5,8 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 # A1: 7,9 => CTR => A1: 2,6,8 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 # H1: 2,8 => CTR => H1: 7,9 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 + H1: 7,9 # A3: 7,9 => CTR => A3: 1,8 * PRF # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 + H1: 7,9 + A3: 1,8 => SOL * STA F7: 1,6 * CNT 6 HDP CHAINS / 32 HYP OPENED
Header Info
328345;12_12_03;dob;24;11.40;1.20;1.20
Solution
position: 652387491749512683813649257398764512126895374574123968265471839987236145431958726 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 # D7: 1,6 => UNS * INC # F7: 1,6 => UNS * INC # D8: 1,6 => UNS * INC # A8: 1,6 => UNS * INC # B8: 1,6 => UNS * INC # G8: 1,6 => UNS * INC # F3: 1,6 => UNS * INC # F3: 7,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 1,6 => UNS * INC # F7: 1,6 => UNS * INC # D8: 1,6 => UNS * INC # A8: 1,6 => UNS * INC # B8: 1,6 => UNS * INC # G8: 1,6 => UNS * INC # F3: 1,6 => UNS * INC # F3: 7,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 1,6 => UNS * INC # F7: 1,6 => UNS * INC # D8: 1,6 => UNS * INC # A8: 1,6 => UNS * INC # B8: 1,6 => UNS * INC # G8: 1,6 => UNS * INC # F3: 1,6 => UNS * INC # F3: 7,9 => UNS * INC # D7: 1,6 # A7: 1,6 => UNS * INC # D7: 1,6 # B7: 1,6 => UNS * INC # D7: 1,6 # D2: 1,6 => UNS * INC # D7: 1,6 # D3: 1,6 => UNS * INC # D7: 1,6 # G8: 2,5 => UNS * INC # D7: 1,6 # I8: 2,5 => UNS * INC # D7: 1,6 # A8: 1,6 => UNS * INC # D7: 1,6 # B8: 1,6 => UNS * INC # D7: 1,6 # G8: 1,6 => UNS * INC # D7: 1,6 # F3: 1,6 => UNS * INC # D7: 1,6 # F3: 7,9 => UNS * INC # D7: 1,6 # G9: 2,5 => UNS * INC # D7: 1,6 # I9: 2,5 => UNS * INC # D7: 1,6 => UNS * INC # F7: 1,6 # D2: 5,8 => UNS * DIS # F7: 1,6 # E2: 5,8 => CTR => E2: 1 * INC # F7: 1,6 + E2: 1 # D2: 5,8 => UNS * DIS # F7: 1,6 + E2: 1 # D2: 6 => CTR => D2: 5,8 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 # A1: 7,9 => CTR => A1: 2,6,8 * INC # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 # H1: 7,9 => UNS * INC # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 # H1: 7,9 => UNS * DIS # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 # H1: 2,8 => CTR => H1: 7,9 * DIS # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 + H1: 7,9 # A3: 7,9 => CTR => A3: 1,8 * PRF # F7: 1,6 + E2: 1 + D2: 5,8 + A1: 2,6,8 + H1: 7,9 + A3: 1,8 => SOL * STA F7: 1,6 * CNT 32 HDP CHAINS / 32 HYP OPENED