Analysis of xx-mith-te3-00154815-base.sdk
Contents
Original Sudoku
level: hard
position: 12...6.8...........8.1.256.2.5...84.34..1.....9..6......2.416.8..4.2..15.....542. initial
Autosolve
position: 12..56.8...........8.1.256.2.5...84.34..18....9..64.....2.416.8..4.2..15.....542. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:04.785701
The following important HDP chains were detected:
* PRF # A2: 4,7 # D2: 4,7 => SOL * STA # A2: 4,7 + D2: 4,7 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12...6.8...........8.1.256.2.5...84.34..1.....9..6......2.416.8..4.2..15.....542. | initial |
| 12..56.8...........8.1.256.2.5...84.34..18....9..64.....2.416.8..4.2..15.....542. | autosolve |
| 123456789456789132789132564265397841347518296891264357532941678674823915918675423 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) A3: 4,7 G2: 1,2 I2: 1,2 B4: 1,6 C5: 6,7 A6: 7,8 C6: 1,8 D5: 2,5 D6: 2,5 I4: 1,6 C9: 1,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G2,I2: 1.. / G2 = 1 => 9 pairs (_) / I2 = 1 => 10 pairs (_) B4,C6: 1.. / B4 = 1 => 10 pairs (_) / C6 = 1 => 11 pairs (_) B9,C9: 1.. / B9 = 1 => 11 pairs (_) / C9 = 1 => 10 pairs (_) B4,I4: 1.. / B4 = 1 => 10 pairs (_) / I4 = 1 => 11 pairs (_) B4,B9: 1.. / B4 = 1 => 10 pairs (_) / B9 = 1 => 11 pairs (_) C6,C9: 1.. / C6 = 1 => 11 pairs (_) / C9 = 1 => 10 pairs (_) G2,G6: 1.. / G2 = 1 => 9 pairs (_) / G6 = 1 => 10 pairs (_) G2,I2: 2.. / G2 = 2 => 10 pairs (_) / I2 = 2 => 9 pairs (_) D5,D6: 2.. / D5 = 2 => 12 pairs (_) / D6 = 2 => 10 pairs (_) A2,A3: 4.. / A2 = 4 => 0 pairs (*) / A3 = 4 => 0 pairs (X) D1,D2: 4.. / D1 = 4 => 0 pairs (*) / D2 = 4 => 0 pairs (X) I1,I3: 4.. / I1 = 4 => 12 pairs (_) / I3 = 4 => 0 pairs (*) D1,I1: 4.. / D1 = 4 => 0 pairs (*) / I1 = 4 => 0 pairs (X) A2,D2: 4.. / A2 = 4 => 0 pairs (*) / D2 = 4 => 0 pairs (X) A3,I3: 4.. / A3 = 4 => 12 pairs (_) / I3 = 4 => 0 pairs (*) A2,B2: 5.. / A2 = 5 => 16 pairs (_) / B2 = 5 => 12 pairs (_) D5,D6: 5.. / D5 = 5 => 10 pairs (_) / D6 = 5 => 12 pairs (_) H5,H6: 5.. / H5 = 5 => 12 pairs (_) / H6 = 5 => 10 pairs (_) A7,B7: 5.. / A7 = 5 => 12 pairs (_) / B7 = 5 => 16 pairs (_) D5,H5: 5.. / D5 = 5 => 10 pairs (_) / H5 = 5 => 12 pairs (_) D6,H6: 5.. / D6 = 5 => 12 pairs (_) / H6 = 5 => 10 pairs (_) A2,A7: 5.. / A2 = 5 => 16 pairs (_) / A7 = 5 => 12 pairs (_) B2,B7: 5.. / B2 = 5 => 12 pairs (_) / B7 = 5 => 16 pairs (_) B4,C5: 6.. / B4 = 6 => 11 pairs (_) / C5 = 6 => 10 pairs (_) I4,I5: 6.. / I4 = 6 => 10 pairs (_) / I5 = 6 => 11 pairs (_) D8,D9: 6.. / D8 = 6 => 10 pairs (_) / D9 = 6 => 11 pairs (_) B4,I4: 6.. / B4 = 6 => 11 pairs (_) / I4 = 6 => 10 pairs (_) C5,I5: 6.. / C5 = 6 => 10 pairs (_) / I5 = 6 => 11 pairs (_) C2,C5: 6.. / C2 = 6 => 11 pairs (_) / C5 = 6 => 10 pairs (_) C5,A6: 7.. / C5 = 7 => 11 pairs (_) / A6 = 7 => 10 pairs (_) D2,E2: 8.. / D2 = 8 => 0 pairs (X) / E2 = 8 => 13 pairs (_) A6,C6: 8.. / A6 = 8 => 11 pairs (_) / C6 = 8 => 10 pairs (_) A8,D8: 8.. / A8 = 8 => 10 pairs (_) / D8 = 8 => 11 pairs (_) C6,C9: 8.. / C6 = 8 => 10 pairs (_) / C9 = 8 => 11 pairs (_) E2,E9: 8.. / E2 = 8 => 13 pairs (_) / E9 = 8 => 0 pairs (X) * DURATION: 0:00:13.857818 START: 15:30:56.140369 END: 15:31:09.998187 2025-04-05 * CP COUNT: (35) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.644196 START: 15:31:16.855671 END: 15:31:21.499867 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00154815-base-pr-002.dot * REASONING * PRF # A2: 4,7 # D2: 4,7 => SOL * STA # A2: 4,7 + D2: 4,7 * CNT 1 HDP CHAINS / 18 HYP OPENED
Header Info
rating: 42711; r2: 813224; index: 154815
Solution
position: 123456789456789132789132564265397841347518296891264357532941678674823915918675423 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 # A2: 4,7 => UNS * INC # A2: 5,6 => UNS * INC # I3: 4,7 => UNS * INC # I3: 3,9 => UNS * INC # G6: 1,2 => UNS * INC # G6: 3,7 => UNS * INC # I6: 1,2 => UNS * INC # I6: 3,7 => UNS * INC # B9: 1,6 => UNS * INC # B9: 3,7 => UNS * INC # I5: 6,7 => UNS * INC # I5: 2,9 => UNS * INC # C2: 6,7 => UNS * INC # C2: 3,9 => UNS * INC # A8: 7,8 => UNS * INC # A9: 7,8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 4,7 => UNS * INC # A2: 5,6 => UNS * INC # I3: 4,7 => UNS * INC # I3: 3,9 => UNS * INC # G6: 1,2 => UNS * INC # G6: 3,7 => UNS * INC # I6: 1,2 => UNS * INC # I6: 3,7 => UNS * INC # B9: 1,6 => UNS * INC # B9: 3,7 => UNS * INC # I5: 6,7 => UNS * INC # I5: 2,9 => UNS * INC # C2: 6,7 => UNS * INC # C2: 3,9 => UNS * INC # A8: 7,8 => UNS * INC # A9: 7,8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 4,7 => UNS * INC # A2: 5,6 => UNS * INC # I3: 4,7 => UNS * INC # I3: 3,9 => UNS * INC # G6: 1,2 => UNS * INC # G6: 3,7 => UNS * INC # I6: 1,2 => UNS * INC # I6: 3,7 => UNS * INC # B9: 1,6 => UNS * INC # B9: 3,7 => UNS * INC # I5: 6,7 => UNS * INC # I5: 2,9 => UNS * INC # C2: 6,7 => UNS * INC # C2: 3,9 => UNS * INC # A8: 7,8 => UNS * INC # A9: 7,8 => UNS * PRF # A2: 4,7 # D2: 4,7 => SOL * STA # A2: 4,7 + D2: 4,7 * CNT 17 HDP CHAINS / 18 HYP OPENED