Analysis of xx-mith-te3-00104859-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4...89.....9......2.154...1..8..5...9.4.18..851..2..14895...6.....85.875....9. initial
Autosolve
position: 12.45..89....89....8.2.154...1..8..5...9.4.18..851..2..14895...6.....85.875....9. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.006723
The following important HDP chains were detected:
* DIS # G9: 3,4 # G1: 3,6 => CTR => G1: 7 * PRF # G9: 3,4 + G1: 7 # E4: 3,6 => SOL * STA # G9: 3,4 + G1: 7 + E4: 3,6 * CNT 2 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4...89.....9......2.154...1..8..5...9.4.18..851..2..14895...6.....85.875....9. | initial |
| 12.45..89....89....8.2.154...1..8..5...9.4.18..851..2..14895...6.....85.875....9. | autosolve |
| 123456789456789132789231546241368975537924618968517423314895267692173854875642391 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) A2: 4,5 B2: 4,5 G2: 1,2 I2: 1,2 A7: 2,3 B8: 3,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G2,I2: 1.. / G2 = 1 => 4 pairs (_) / I2 = 1 => 7 pairs (_) D8,D9: 1.. / D8 = 1 => 7 pairs (_) / D9 = 1 => 7 pairs (_) D8,I8: 1.. / D8 = 1 => 7 pairs (_) / I8 = 1 => 7 pairs (_) G2,G9: 1.. / G2 = 1 => 4 pairs (_) / G9 = 1 => 7 pairs (_) G2,I2: 2.. / G2 = 2 => 7 pairs (_) / I2 = 2 => 4 pairs (_) E4,E5: 2.. / E4 = 2 => 6 pairs (_) / E5 = 2 => 11 pairs (_) A7,C8: 2.. / A7 = 2 => 13 pairs (_) / C8 = 2 => 13 pairs (_) F8,F9: 2.. / F8 = 2 => 14 pairs (_) / F9 = 2 => 7 pairs (_) A4,E4: 2.. / A4 = 2 => 11 pairs (_) / E4 = 2 => 6 pairs (_) C5,C8: 2.. / C5 = 2 => 13 pairs (_) / C8 = 2 => 13 pairs (_) A2,B2: 4.. / A2 = 4 => 5 pairs (_) / B2 = 4 => 4 pairs (_) E8,E9: 4.. / E8 = 4 => 7 pairs (_) / E9 = 4 => 10 pairs (_) E8,I8: 4.. / E8 = 4 => 7 pairs (_) / I8 = 4 => 10 pairs (_) A2,B2: 5.. / A2 = 5 => 4 pairs (_) / B2 = 5 => 5 pairs (_) A5,B5: 5.. / A5 = 5 => 5 pairs (_) / B5 = 5 => 4 pairs (_) A2,A5: 5.. / A2 = 5 => 4 pairs (_) / A5 = 5 => 5 pairs (_) B2,B5: 5.. / B2 = 5 => 5 pairs (_) / B5 = 5 => 4 pairs (_) A3,C3: 9.. / A3 = 9 => 11 pairs (_) / C3 = 9 => 8 pairs (_) G4,G6: 9.. / G4 = 9 => 6 pairs (_) / G6 = 9 => 6 pairs (_) B8,C8: 9.. / B8 = 9 => 8 pairs (_) / C8 = 9 => 11 pairs (_) C3,C8: 9.. / C3 = 9 => 8 pairs (_) / C8 = 9 => 11 pairs (_) * DURATION: 0:00:07.336148 START: 16:50:00.513599 END: 16:50:07.849747 2025-04-06 * CP COUNT: (21) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:08.818828 START: 16:50:13.485431 END: 16:50:22.304259 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00104859-base-pr-002.dot * REASONING * DIS # G9: 3,4 # G1: 3,6 => CTR => G1: 7 * PRF # G9: 3,4 + G1: 7 # E4: 3,6 => SOL * STA # G9: 3,4 + G1: 7 + E4: 3,6 * CNT 2 HDP CHAINS / 37 HYP OPENED
Header Info
rating: 26297; r2: 522499; index: 104859
Solution
position: 123456789456789132789231546241368975537924618968517423314895267692173854875642391 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: 1,2 => UNS * INC # G9: 3,4 => UNS * INC # I8: 1,2 => UNS * INC # I9: 1,2 => UNS * INC # C8: 2,3 => UNS * INC # C8: 9 => UNS * INC # G7: 2,3 => UNS * INC # I7: 2,3 => UNS * INC # A4: 2,3 => UNS * INC # A5: 2,3 => UNS * INC # C8: 3,9 => UNS * INC # C8: 2 => UNS * INC # B4: 3,9 => UNS * INC # B6: 3,9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 1,2 => UNS * INC # G9: 3,4 => UNS * INC # I8: 1,2 => UNS * INC # I9: 1,2 => UNS * INC # C8: 2,3 => UNS * INC # C8: 9 => UNS * INC # G7: 2,3 => UNS * INC # I7: 2,3 => UNS * INC # A4: 2,3 => UNS * INC # A5: 2,3 => UNS * INC # C8: 3,9 => UNS * INC # C8: 2 => UNS * INC # B4: 3,9 => UNS * INC # B6: 3,9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 1,2 => UNS * INC # G9: 3,4 => UNS * INC # I8: 1,2 => UNS * INC # I9: 1,2 => UNS * INC # C8: 2,3 => UNS * INC # C8: 9 => UNS * INC # G7: 2,3 => UNS * INC # I7: 2,3 => UNS * INC # A4: 2,3 => UNS * INC # A5: 2,3 => UNS * INC # C8: 3,9 => UNS * INC # C8: 2 => UNS * INC # B4: 3,9 => UNS * INC # B6: 3,9 => UNS * INC # G9: 1,2 # I8: 1,2 => UNS * INC # G9: 1,2 # I9: 1,2 => UNS * INC # G9: 1,2 # A4: 4,9 => UNS * INC # G9: 1,2 # B4: 4,9 => UNS * INC # G9: 1,2 # A6: 4,9 => UNS * INC # G9: 1,2 # B6: 4,9 => UNS * INC # G9: 1,2 # C8: 2,3 => UNS * INC # G9: 1,2 # C8: 9 => UNS * INC # G9: 1,2 # I7: 2,3 => UNS * INC # G9: 1,2 # I7: 6,7 => UNS * INC # G9: 1,2 # A4: 2,3 => UNS * INC # G9: 1,2 # A5: 2,3 => UNS * INC # G9: 1,2 # C8: 3,9 => UNS * INC # G9: 1,2 # C8: 2 => UNS * INC # G9: 1,2 # B4: 3,9 => UNS * INC # G9: 1,2 # B6: 3,9 => UNS * INC # G9: 1,2 # I8: 1,2 => UNS * INC # G9: 1,2 # I9: 1,2 => UNS * INC # G9: 1,2 => UNS * INC # G9: 3,4 # F1: 3,6 => UNS * DIS # G9: 3,4 # G1: 3,6 => CTR => G1: 7 * PRF # G9: 3,4 + G1: 7 # E4: 3,6 => SOL * STA # G9: 3,4 + G1: 7 + E4: 3,6 * CNT 36 HDP CHAINS / 37 HYP OPENED