Analysis of xx-ph-00248064-12_12_03-base.sdk
Contents
Original Sudoku
level: hard
position: ........1.....234...3.1............5.4.6.....7....341...4..712..2..8..7.17......9 initial
Autosolve
position: ........1.....234...3.1............5.4.6.....7....341...4..712..2..8..7417......9 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:27.357772
The following important HDP chains were detected:
* PRF # A8: 5,6 # G5: 8,9 => SOL * STA # A8: 5,6 + G5: 8,9 * CNT 1 HDP CHAINS / 46 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........1.....234...3.1............5.4.6.....7....341...4..712..2..8..7.17......9 | initial |
| ........1.....234...3.1............5.4.6.....7....341...4..712..2..8..7417......9 | autosolve |
| 482739651917562348563418297398124765241675983756893412834957126629381574175246839 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G8: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,C2: 1.. / B2 = 1 => 1 pairs (_) / C2 = 1 => 0 pairs (X) D8,F8: 1.. / D8 = 1 => 1 pairs (_) / F8 = 1 => 1 pairs (_) C5,F5: 1.. / C5 = 1 => 1 pairs (_) / F5 = 1 => 1 pairs (_) B2,B4: 1.. / B2 = 1 => 1 pairs (_) / B4 = 1 => 0 pairs (X) D4,D8: 1.. / D4 = 1 => 1 pairs (_) / D8 = 1 => 1 pairs (_) D9,E9: 2.. / D9 = 2 => 1 pairs (_) / E9 = 2 => 2 pairs (_) D1,E1: 3.. / D1 = 3 => 2 pairs (_) / E1 = 3 => 1 pairs (_) I7,H9: 3.. / I7 = 3 => 5 pairs (_) / H9 = 3 => 3 pairs (_) A8,D8: 3.. / A8 = 3 => 1 pairs (_) / D8 = 3 => 4 pairs (_) B4,B7: 3.. / B4 = 3 => 1 pairs (_) / B7 = 3 => 4 pairs (_) I5,I7: 3.. / I5 = 3 => 3 pairs (_) / I7 = 3 => 5 pairs (_) A1,A3: 4.. / A1 = 4 => 1 pairs (_) / A3 = 4 => 1 pairs (_) C1,C2: 7.. / C1 = 7 => 3 pairs (_) / C2 = 7 => 2 pairs (_) * DURATION: 0:00:09.160545 START: 20:07:02.686436 END: 20:07:11.846981 2020-12-23 * CP COUNT: (13) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:27.120885 START: 20:07:18.139456 END: 20:07:45.260341 2020-12-23 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00248064-12_12_03-base-pr-002.dot * REASONING * PRF # A8: 5,6 # G5: 8,9 => SOL * STA # A8: 5,6 + G5: 8,9 * CNT 1 HDP CHAINS / 46 HYP OPENED
Header Info
248064;12_12_03;dob;23;11.30;1.20;1.20
Solution
position: 482739651917562348563418297398124765241675983756893412834957126629381574175246839 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 # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # A8: 5,6 => UNS * INC # C8: 5,6 => UNS * INC # F8: 5,6 => UNS * INC # G1: 5,6 => UNS * INC # G3: 5,6 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # A8: 5,6 => UNS * INC # C8: 5,6 => UNS * INC # F8: 5,6 => UNS * INC # G1: 5,6 => UNS * INC # G3: 5,6 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # A8: 5,6 => UNS * INC # C8: 5,6 => UNS * INC # F8: 5,6 => UNS * INC # G1: 5,6 => UNS * INC # G3: 5,6 => UNS * INC # G9: 5,6 # A7: 3,8 => UNS * INC # G9: 5,6 # B7: 3,8 => UNS * INC # G9: 5,6 # I5: 3,8 => UNS * INC # G9: 5,6 # I5: 2,7 => UNS * INC # G9: 5,6 # A8: 5,6 => UNS * INC # G9: 5,6 # C8: 5,6 => UNS * INC # G9: 5,6 # F8: 5,6 => UNS * INC # G9: 5,6 # C9: 5,6 => UNS * INC # G9: 5,6 # E9: 5,6 => UNS * INC # G9: 5,6 # F9: 5,6 => UNS * INC # G9: 5,6 # H4: 3,8 => UNS * INC # G9: 5,6 # H5: 3,8 => UNS * INC # G9: 5,6 => UNS * INC # H9: 5,6 # A7: 5,6 => UNS * INC # H9: 5,6 # B7: 5,6 => UNS * INC # H9: 5,6 # C8: 5,6 => UNS * INC # H9: 5,6 # C1: 5,6 => UNS * INC # H9: 5,6 # C2: 5,6 => UNS * INC # H9: 5,6 # C6: 5,6 => UNS * INC # H9: 5,6 # E7: 5,9 => UNS * INC # H9: 5,6 # D8: 5,9 => UNS * INC # H9: 5,6 # F8: 5,9 => UNS * INC # H9: 5,6 # A7: 5,9 => UNS * INC # H9: 5,6 # B7: 5,9 => UNS * INC # H9: 5,6 # D1: 5,9 => UNS * INC # H9: 5,6 # D2: 5,9 => UNS * INC # H9: 5,6 # D3: 5,9 => UNS * INC # H9: 5,6 # D6: 5,9 => UNS * INC # H9: 5,6 # C8: 5,6 => UNS * INC # H9: 5,6 # F8: 5,6 => UNS * INC # H9: 5,6 # G1: 5,6 => UNS * INC # H9: 5,6 # G3: 5,6 => UNS * INC # H9: 5,6 # H1: 5,6 => UNS * INC # H9: 5,6 # H3: 5,6 => UNS * INC # H9: 5,6 => UNS * INC # A8: 5,6 # G4: 8,9 => UNS * INC # A8: 5,6 # H4: 8,9 => UNS * PRF # A8: 5,6 # G5: 8,9 => SOL * STA # A8: 5,6 + G5: 8,9 * CNT 45 HDP CHAINS / 46 HYP OPENED