Analysis of xx-ph-00000805-669-base.sdk
Contents
Original Sudoku
level: hard
position: ...4...8..5...91......3...62...6...4..5..1......8...3..91....7.5....79...7......8 initial
Autosolve
position: ...4...8..5...91......3...62...6...4..5..1......8...3..91....7.5....79...7......8 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:36.046287
The following important HDP chains were detected:
* DIS # H3: 2,4 # A2: 3,7 => CTR => A2: 4,6,8 * DIS # H3: 2,4 + A2: 4,6,8 # C2: 3,7 => CTR => C2: 2,4,6,8 * DIS # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 # C3: 2,4 => CTR => C3: 7,8,9 * PRF # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 # B3: 1,8 => SOL * STA # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 + B3: 1,8 * CNT 4 HDP CHAINS / 42 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4...8..5...91......3...62...6...4..5..1......8...3..91....7.5....79...7......8 | initial |
| ...4...8..5...91......3...62...6...4..5..1......8...3..91....7.5....79...7......8 | autosolve |
| 123456789456789123789132546217963854835241697964875231391628475548317962672594318 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) H2: 2,4 F4: 3,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,D3: 1.. / E1 = 1 => 2 pairs (_) / D3 = 1 => 2 pairs (_) H4,I6: 1.. / H4 = 1 => 5 pairs (_) / I6 = 1 => 5 pairs (_) B4,H4: 1.. / B4 = 1 => 5 pairs (_) / H4 = 1 => 5 pairs (_) I6,I8: 1.. / I6 = 1 => 5 pairs (_) / I8 = 1 => 5 pairs (_) F1,D2: 6.. / F1 = 6 => 3 pairs (_) / D2 = 6 => 3 pairs (_) E2,F3: 8.. / E2 = 8 => 3 pairs (_) / F3 = 8 => 3 pairs (_) G4,G5: 8.. / G4 = 8 => 3 pairs (_) / G5 = 8 => 3 pairs (_) F3,F7: 8.. / F3 = 8 => 3 pairs (_) / F7 = 8 => 3 pairs (_) I1,H3: 9.. / I1 = 9 => 3 pairs (_) / H3 = 9 => 4 pairs (_) D9,E9: 9.. / D9 = 9 => 2 pairs (_) / E9 = 9 => 2 pairs (_) * DURATION: 0:00:07.251446 START: 08:07:15.877862 END: 08:07:23.129308 2020-11-22 * CP COUNT: (10) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:35.799809 START: 08:07:32.212634 END: 08:08:08.012443 2020-11-22 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000805-669-base-pr-002.dot * REASONING * DIS # H3: 2,4 # A2: 3,7 => CTR => A2: 4,6,8 * DIS # H3: 2,4 + A2: 4,6,8 # C2: 3,7 => CTR => C2: 2,4,6,8 * DIS # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 # C3: 2,4 => CTR => C3: 7,8,9 * PRF # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 # B3: 1,8 => SOL * STA # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 + B3: 1,8 * CNT 4 HDP CHAINS / 42 HYP OPENED
Header Info
805;669;elev;22;11.30;11.30;9.90
Solution
position: 123456789456789123789132546217963854835241697964875231391628475548317962672594318 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 # G3: 2,4 => UNS * INC # H3: 2,4 => UNS * INC # C2: 2,4 => UNS * INC # C2: 3,6,7,8 => UNS * INC # H8: 2,4 => UNS * INC # H9: 2,4 => UNS * INC # D4: 3,5 => UNS * INC # D4: 7,9 => UNS * INC # F7: 3,5 => UNS * INC # F9: 3,5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G3: 2,4 => UNS * INC # H3: 2,4 => UNS * INC # C2: 2,4 => UNS * INC # C2: 3,6,7,8 => UNS * INC # H8: 2,4 => UNS * INC # H9: 2,4 => UNS * INC # D4: 3,5 => UNS * INC # D4: 7,9 => UNS * INC # F7: 3,5 => UNS * INC # F9: 3,5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G3: 2,4 => UNS * INC # H3: 2,4 => UNS * INC # C2: 2,4 => UNS * INC # C2: 3,6,7,8 => UNS * INC # H8: 2,4 => UNS * INC # H9: 2,4 => UNS * INC # D4: 3,5 => UNS * INC # D4: 7,9 => UNS * INC # F7: 3,5 => UNS * INC # F9: 3,5 => UNS * INC # G3: 2,4 # C2: 2,4 => UNS * INC # G3: 2,4 # C2: 3,6,7,8 => UNS * INC # G3: 2,4 # H8: 2,4 => UNS * INC # G3: 2,4 # H9: 2,4 => UNS * INC # G3: 2,4 # G1: 3,7 => UNS * INC # G3: 2,4 # I1: 3,7 => UNS * INC # G3: 2,4 # A2: 3,7 => UNS * INC # G3: 2,4 # C2: 3,7 => UNS * INC # G3: 2,4 # B3: 2,4 => UNS * INC # G3: 2,4 # C3: 2,4 => UNS * INC # G3: 2,4 # G7: 2,4 => UNS * INC # G3: 2,4 # G9: 2,4 => UNS * INC # G3: 2,4 # I1: 5,9 => UNS * INC # G3: 2,4 # I1: 3,7 => UNS * INC # G3: 2,4 # H4: 5,9 => UNS * INC # G3: 2,4 # H4: 1 => UNS * INC # G3: 2,4 # D4: 3,5 => UNS * INC # G3: 2,4 # D4: 7,9 => UNS * INC # G3: 2,4 # F7: 3,5 => UNS * INC # G3: 2,4 # F9: 3,5 => UNS * INC # G3: 2,4 => UNS * INC # H3: 2,4 # C2: 2,4 => UNS * INC # H3: 2,4 # C2: 3,6,7,8 => UNS * INC # H3: 2,4 # G1: 3,7 => UNS * INC # H3: 2,4 # G1: 5 => UNS * DIS # H3: 2,4 # A2: 3,7 => CTR => A2: 4,6,8 * DIS # H3: 2,4 + A2: 4,6,8 # C2: 3,7 => CTR => C2: 2,4,6,8 * INC # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 # B3: 2,4 => UNS * DIS # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 # C3: 2,4 => CTR => C3: 7,8,9 * INC # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 # B3: 2,4 => UNS * PRF # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 # B3: 1,8 => SOL * STA # H3: 2,4 + A2: 4,6,8 + C2: 2,4,6,8 + C3: 7,8,9 + B3: 1,8 * CNT 41 HDP CHAINS / 42 HYP OPENED