Analysis of xx-mith-te3-00022915-base.sdk
Contents
Original Sudoku
level: medium
position: ...4.67.945....236......14.29.6...........9...459.36.25.2.94.6..3426..9.96.3.5.2. initial
Autosolve
position: ...4.67.945....236......14.29.6...........9...459.36.25.2.94.6..3426..9.96.3.5.2. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # D3: 7 => SOL * CNT 1 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # D3: 7 => SOL * STA D3: 7 * CNT 1 HDP CHAINS / 4 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4.67.945....236......14.29.6...........9...459.36.25.2.94.6..3426..9.96.3.5.2. | initial |
| ...4.67.945....236......14.29.6...........9...459.36.25.2.94.6..3426..9.96.3.5.2. | autosolve |
| 123456789457189236689732145291647853376528914845913672512894367734261598968375421 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (6) H1: 5,8 I3: 5,8 E4: 4,5 G7: 3,8 G8: 5,8 G9: 4,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,B3: 2.. / B1 = 2 => 11 pairs (_) / B3 = 2 => 12 pairs (_) E5,F5: 2.. / E5 = 2 => 12 pairs (_) / F5 = 2 => 13 pairs (_) B1,E1: 2.. / B1 = 2 => 11 pairs (_) / E1 = 2 => 12 pairs (_) F3,F5: 2.. / F3 = 2 => 12 pairs (_) / F5 = 2 => 13 pairs (_) E1,E3: 3.. / E1 = 3 => 14 pairs (_) / E3 = 3 => 7 pairs (_) G7,I7: 3.. / G7 = 3 => 5 pairs (_) / I7 = 3 => 9 pairs (_) G4,G7: 3.. / G4 = 3 => 9 pairs (_) / G7 = 3 => 5 pairs (_) E4,E5: 4.. / E4 = 4 => 7 pairs (_) / E5 = 4 => 12 pairs (_) G9,I9: 4.. / G9 = 4 => 5 pairs (_) / I9 = 4 => 11 pairs (_) E5,I5: 4.. / E5 = 4 => 12 pairs (_) / I5 = 4 => 7 pairs (_) G4,G9: 4.. / G4 = 4 => 11 pairs (_) / G9 = 4 => 5 pairs (_) H1,I3: 5.. / H1 = 5 => 8 pairs (_) / I3 = 5 => 12 pairs (_) G8,I8: 5.. / G8 = 5 => 5 pairs (_) / I8 = 5 => 11 pairs (_) E1,H1: 5.. / E1 = 5 => 12 pairs (_) / H1 = 5 => 8 pairs (_) D3,D5: 5.. / D3 = 5 => 13 pairs (_) / D5 = 5 => 12 pairs (_) G4,G8: 5.. / G4 = 5 => 11 pairs (_) / G8 = 5 => 5 pairs (_) A3,C3: 6.. / A3 = 6 => 6 pairs (_) / C3 = 6 => 11 pairs (_) A5,C5: 6.. / A5 = 6 => 11 pairs (_) / C5 = 6 => 6 pairs (_) A3,A5: 6.. / A3 = 6 => 6 pairs (_) / A5 = 6 => 11 pairs (_) C3,C5: 6.. / C3 = 6 => 11 pairs (_) / C5 = 6 => 6 pairs (_) H1,I3: 8.. / H1 = 8 => 12 pairs (_) / I3 = 8 => 8 pairs (_) C2,C3: 9.. / C2 = 9 => 11 pairs (_) / C3 = 9 => 8 pairs (_) F2,F3: 9.. / F2 = 9 => 8 pairs (_) / F3 = 9 => 11 pairs (_) C2,F2: 9.. / C2 = 9 => 11 pairs (_) / F2 = 9 => 8 pairs (_) C3,F3: 9.. / C3 = 9 => 8 pairs (_) / F3 = 9 => 11 pairs (_) * DURATION: 0:00:08.758844 START: 06:21:49.047615 END: 06:21:57.806459 2025-04-06 * CP COUNT: (25) * INCONCLUSIVE -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E4,G7,G8,G9,H1,I3) * ...4.67.945....236......14.29.6...........9...459.36.25.2.94.6..3426..9.96.3.5.2. * PAIR H1: 5,8 COL H H4: 5,8,1,7 # reduction candidate for 5,8 H4: 5,8 # 14 pairs H5: 5,8,1,7 # reduction candidate for 5,8 H5: 5,8 # 9 pairs * PAIR I3: 5,8 ROW 3 D3: 5,8,7 # reduction candidate for 5,8 D3: 7 => SOLVED * 123456789457189236689732145291647853376528914845913672512894367734261598968375421 D3: 5,8 # 9 pairs * PAIR I3: 5,8 COL I I4: 5,8,3,4 # reduction candidate for 5,8 I4: 5,8 # 9 pairs I5: 5,8,3,4 # reduction candidate for 5,8 I5: 5,8 # 12 pairs I8: 5,8,1,7 # reduction candidate for 5,8 I8: 5,8 # 12 pairs * PAIR E4: 4,5 BLK 5 E5: 4,5,2 # reduction candidate for 4,5 E5: 4,5 # 13 pairs E5: 2 # 12 pairs * PAIR E4: 4,5 ROW 4 G4: 4,5,3,8 # reduction candidate for 4,5 G4: 4,5 # 8 pairs I4: 4,5,3,8 # reduction candidate for 4,5 I4: 4,5 # 6 pairs * PAIR G7: 3,8 BLK 9 I7: 3,8,1,7 # reduction candidate for 3,8 I7: 3,8 # 10 pairs I7: 1,7 # 6 pairs * PAIR G7: 3,8 COL G G4: 3,8,4,5 # reduction candidate for 3,8 G4: 4,5 # 8 pairs G4: 3,8 # 5 pairs * PAIR G8: 5,8 BLK 9 I8: 5,8,1,7 # reduction candidate for 5,8 I8: 5,8 # 12 pairs I8: 1,7 # 6 pairs * PAIR G8: 5,8 COL G G4: 5,8,3,4 # reduction candidate for 5,8 G4: 5,8 # 7 pairs G4: 3,4 # 7 pairs * PAIR G9: 4,8 BLK 9 I9: 4,8,1,7 # reduction candidate for 4,8 I9: 4,8 # 10 pairs I9: 1,7 # 6 pairs * PAIR G9: 4,8 COL G G4: 4,8,3,5 # reduction candidate for 4,8 G4: 3,5 # 7 pairs G4: 4,8 # 5 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00022915-base-pr-000.dot * REASONING * PRF # D3: 7 => SOL * CNT 1 HDP CHAINS / 23 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E4,G7,G8,G9,H1,I3) * ...4.67.945....236......14.29.6...........9...459.36.25.2.94.6..3426..9.96.3.5.2. * PAIR H1: 5,8 COL H H4: 5,8,1,7 # reduction candidate for 5,8 H4: 5,8 # 14 pairs H5: 5,8,1,7 # reduction candidate for 5,8 H5: 5,8 # 9 pairs * PAIR I3: 5,8 ROW 3 D3: 5,8,7 # reduction candidate for 5,8 D3: 7 => SOLVED * 123456789457189236689732145291647853376528914845913672512894367734261598968375421 * DURATION: 0:00:00.982077 START: 06:22:01.927271 END: 06:22:02.909348 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00022915-base-pr-001.dot * REASONING * PRF # D3: 7 => SOL * STA D3: 7 * CNT 1 HDP CHAINS / 4 HYP OPENED
Header Info
rating: 4656; r2: 64197; index: 22915
Solution
position: 123456789457189236689732145291647853376528914845913672512894367734261598968375421 solved
See section 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 # H4: 5,8 => UNS * INC # H5: 5,8 => UNS * INC # D3: 5,8 => UNS * PRF # D3: 7 => SOL * INC # I4: 5,8 => UNS * INC # I5: 5,8 => UNS * INC # I8: 5,8 => UNS * INC # E5: 4,5 => UNS * INC # E5: 2 => UNS * INC # G4: 4,5 => UNS * INC # I4: 4,5 => UNS * INC # I7: 3,8 => UNS * INC # I7: 1,7 => UNS * INC # G4: 3,8 => UNS * INC # G4: 4,5 => UNS * INC # I8: 5,8 => UNS * INC # I8: 1,7 => UNS * INC # G4: 5,8 => UNS * INC # G4: 3,4 => UNS * INC # I9: 4,8 => UNS * INC # I9: 1,7 => UNS * INC # G4: 4,8 => UNS * INC # G4: 3,5 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H4: 5,8 => UNS * INC # H5: 5,8 => UNS * INC # D3: 5,8 => UNS * PRF # D3: 7 => SOL * STA D3: 7 * CNT 4 HDP CHAINS / 4 HYP OPENED