Analysis of xx-mith-te3-00056079-base.sdk
Contents
Original Sudoku
level: hard
position: ..345..8945......3.897......9.....3537...58.45.....97....5.4..88..31....9..268... initial
Autosolve
position: ..345..8945......3.897......9.....3537...58.45.....97....5.4..88..31....9..268... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:02.852149
The following important HDP chains were detected:
* PRF # F3: 2,3 # A1: 1,6 => SOL * STA # F3: 2,3 + A1: 1,6 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..345..8945......3.897......9.....3537...58.45.....97....5.4..88..31....9..268... | initial |
| ..345..8945......3.897......9.....3537...58.45.....97....5.4..88..31....9..268... | autosolve |
| 123456789457189263689732451294871635376925814518643972761594328842317596935268147 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) E3: 2,3 G3: 4,5 H3: 4,5 E5: 2,9 E7: 7,9 F8: 7,9 I9: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E3,F3: 3.. / E3 = 3 => 6 pairs (_) / F3 = 3 => 12 pairs (_) E6,F6: 3.. / E6 = 3 => 12 pairs (_) / F6 = 3 => 6 pairs (_) B7,B9: 3.. / B7 = 3 => 9 pairs (_) / B9 = 3 => 7 pairs (_) G7,G9: 3.. / G7 = 3 => 7 pairs (_) / G9 = 3 => 9 pairs (_) B7,G7: 3.. / B7 = 3 => 9 pairs (_) / G7 = 3 => 7 pairs (_) B9,G9: 3.. / B9 = 3 => 7 pairs (_) / G9 = 3 => 9 pairs (_) E3,E6: 3.. / E3 = 3 => 6 pairs (_) / E6 = 3 => 12 pairs (_) F3,F6: 3.. / F3 = 3 => 12 pairs (_) / F6 = 3 => 6 pairs (_) G3,H3: 4.. / G3 = 4 => 6 pairs (_) / H3 = 4 => 6 pairs (_) E4,E6: 4.. / E4 = 4 => 11 pairs (_) / E6 = 4 => 7 pairs (_) C4,E4: 4.. / C4 = 4 => 7 pairs (_) / E4 = 4 => 11 pairs (_) G3,H3: 5.. / G3 = 5 => 6 pairs (_) / H3 = 5 => 6 pairs (_) C8,C9: 5.. / C8 = 5 => 7 pairs (_) / C9 = 5 => 8 pairs (_) A1,C2: 7.. / A1 = 7 => 7 pairs (_) / C2 = 7 => 12 pairs (_) G1,G2: 7.. / G1 = 7 => 12 pairs (_) / G2 = 7 => 7 pairs (_) E4,F4: 7.. / E4 = 7 => 10 pairs (_) / F4 = 7 => 12 pairs (_) E7,F8: 7.. / E7 = 7 => 12 pairs (_) / F8 = 7 => 10 pairs (_) I8,I9: 7.. / I8 = 7 => 14 pairs (_) / I9 = 7 => 7 pairs (_) A1,G1: 7.. / A1 = 7 => 7 pairs (_) / G1 = 7 => 12 pairs (_) C2,G2: 7.. / C2 = 7 => 12 pairs (_) / G2 = 7 => 7 pairs (_) C9,I9: 7.. / C9 = 7 => 14 pairs (_) / I9 = 7 => 7 pairs (_) A1,A7: 7.. / A1 = 7 => 7 pairs (_) / A7 = 7 => 12 pairs (_) E4,E7: 7.. / E4 = 7 => 10 pairs (_) / E7 = 7 => 12 pairs (_) F4,F8: 7.. / F4 = 7 => 12 pairs (_) / F8 = 7 => 10 pairs (_) D2,E2: 8.. / D2 = 8 => 13 pairs (_) / E2 = 8 => 7 pairs (_) C4,C6: 8.. / C4 = 8 => 11 pairs (_) / C6 = 8 => 8 pairs (_) D5,E5: 9.. / D5 = 9 => 9 pairs (_) / E5 = 9 => 11 pairs (_) E7,F8: 9.. / E7 = 9 => 10 pairs (_) / F8 = 9 => 12 pairs (_) H7,H8: 9.. / H7 = 9 => 12 pairs (_) / H8 = 9 => 10 pairs (_) E7,H7: 9.. / E7 = 9 => 10 pairs (_) / H7 = 9 => 12 pairs (_) F8,H8: 9.. / F8 = 9 => 12 pairs (_) / H8 = 9 => 10 pairs (_) D2,D5: 9.. / D2 = 9 => 11 pairs (_) / D5 = 9 => 9 pairs (_) F2,F8: 9.. / F2 = 9 => 10 pairs (_) / F8 = 9 => 12 pairs (_) * DURATION: 0:00:08.986366 START: 16:42:40.883694 END: 16:42:49.870060 2025-04-04 * CP COUNT: (33) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:02.748895 START: 16:42:53.449005 END: 16:42:56.197900 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00056079-base-pr-002.dot * REASONING * PRF # F3: 2,3 # A1: 1,6 => SOL * STA # F3: 2,3 + A1: 1,6 * CNT 1 HDP CHAINS / 14 HYP OPENED
Header Info
rating: 11559; r2: 236625; index: 56079
Solution
position: 123456789457189263689732451294871635376925814518643972761594328842317596935268147 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 # F3: 2,3 => UNS * INC # F3: 1,6 => UNS * INC # E6: 2,3 => UNS * INC # E6: 4,8 => UNS * INC # G8: 4,5 => UNS * INC # G9: 4,5 => UNS * INC # H8: 4,5 => UNS * INC # H9: 4,5 => UNS * INC # E2: 2,9 => UNS * INC # E2: 8 => UNS * INC # C9: 1,7 => UNS * INC # C9: 4,5 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F3: 2,3 => UNS * INC # F3: 1,6 => UNS * INC # E6: 2,3 => UNS * INC # E6: 4,8 => UNS * INC # G8: 4,5 => UNS * INC # G9: 4,5 => UNS * INC # H8: 4,5 => UNS * INC # H9: 4,5 => UNS * INC # E2: 2,9 => UNS * INC # E2: 8 => UNS * INC # C9: 1,7 => UNS * INC # C9: 4,5 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F3: 2,3 => UNS * INC # F3: 1,6 => UNS * INC # E6: 2,3 => UNS * INC # E6: 4,8 => UNS * INC # G8: 4,5 => UNS * INC # G9: 4,5 => UNS * INC # H8: 4,5 => UNS * INC # H9: 4,5 => UNS * INC # E2: 2,9 => UNS * INC # E2: 8 => UNS * INC # C9: 1,7 => UNS * INC # C9: 4,5 => UNS * PRF # F3: 2,3 # A1: 1,6 => SOL * STA # F3: 2,3 + A1: 1,6 * CNT 13 HDP CHAINS / 14 HYP OPENED