Analysis of xx-mith-te3-00146935-base.sdk
Contents
Original Sudoku
level: hard
position: .23......4.6....2379.2..64.....75.6....168...6.7.42...3.2.9..76..4...39.9.......4 initial
Autosolve
position: .23......4.67.9.2379.2..64.....75.6....168...6.7.42...3.2.9..76..4...39.9.......4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.993834
The following important HDP chains were detected:
* PRF # E3: 1,3 # E9: 2 => SOL * STA # E3: 1,3 + E9: 2 * CNT 1 HDP CHAINS / 35 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23......4.6....2379.2..64.....75.6....168...6.7.42...3.2.9..76..4...39.9.......4 | initial |
| .23......4.67.9.2379.2..64.....75.6....168...6.7.42...3.2.9..76..4...39.9.......4 | autosolve |
| 123456789456789123798231645231975468549168237687342951312894576864517392975623814 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (14) D1: 4,6 F1: 4,6 F3: 1,3 G1: 7,9 I1: 7,9 A5: 2,5 C5: 5,9 D4: 3,9 D6: 3,9 H5: 3,5 B8: 6,7 B9: 6,7 F7: 1,4 E8: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,A5: 2.. / A4 = 2 => 16 pairs (_) / A5 = 2 => 14 pairs (_) E8,E9: 2.. / E8 = 2 => 14 pairs (_) / E9 = 2 => 0 pairs (*) I8,G9: 2.. / I8 = 2 => 0 pairs (*) / G9 = 2 => 0 pairs (X) E8,I8: 2.. / E8 = 2 => 14 pairs (_) / I8 = 2 => 0 pairs (*) E9,G9: 2.. / E9 = 2 => 0 pairs (*) / G9 = 2 => 0 pairs (X) E3,F3: 3.. / E3 = 3 => 15 pairs (_) / F3 = 3 => 12 pairs (_) D4,D6: 3.. / D4 = 3 => 15 pairs (_) / D6 = 3 => 11 pairs (_) H5,H6: 3.. / H5 = 3 => 14 pairs (_) / H6 = 3 => 15 pairs (_) E9,F9: 3.. / E9 = 3 => 12 pairs (_) / F9 = 3 => 15 pairs (_) B4,D4: 3.. / B4 = 3 => 11 pairs (_) / D4 = 3 => 15 pairs (_) B5,H5: 3.. / B5 = 3 => 15 pairs (_) / H5 = 3 => 14 pairs (_) E3,E9: 3.. / E3 = 3 => 15 pairs (_) / E9 = 3 => 12 pairs (_) F3,F9: 3.. / F3 = 3 => 12 pairs (_) / F9 = 3 => 15 pairs (_) D1,F1: 4.. / D1 = 4 => 13 pairs (_) / F1 = 4 => 15 pairs (_) B4,B5: 4.. / B4 = 4 => 14 pairs (_) / B5 = 4 => 13 pairs (_) G4,G5: 4.. / G4 = 4 => 13 pairs (_) / G5 = 4 => 14 pairs (_) D7,F7: 4.. / D7 = 4 => 15 pairs (_) / F7 = 4 => 13 pairs (_) B4,G4: 4.. / B4 = 4 => 14 pairs (_) / G4 = 4 => 13 pairs (_) B5,G5: 4.. / B5 = 4 => 13 pairs (_) / G5 = 4 => 14 pairs (_) D1,D7: 4.. / D1 = 4 => 13 pairs (_) / D7 = 4 => 15 pairs (_) F1,F7: 4.. / F1 = 4 => 15 pairs (_) / F7 = 4 => 13 pairs (_) D1,F1: 6.. / D1 = 6 => 15 pairs (_) / F1 = 6 => 13 pairs (_) B8,B9: 6.. / B8 = 6 => 13 pairs (_) / B9 = 6 => 12 pairs (_) G1,I1: 7.. / G1 = 7 => 12 pairs (_) / I1 = 7 => 11 pairs (_) G5,I5: 7.. / G5 = 7 => 11 pairs (_) / I5 = 7 => 12 pairs (_) B8,B9: 7.. / B8 = 7 => 12 pairs (_) / B9 = 7 => 13 pairs (_) F8,F9: 7.. / F8 = 7 => 13 pairs (_) / F9 = 7 => 12 pairs (_) B8,F8: 7.. / B8 = 7 => 12 pairs (_) / F8 = 7 => 13 pairs (_) B9,F9: 7.. / B9 = 7 => 13 pairs (_) / F9 = 7 => 12 pairs (_) G1,G5: 7.. / G1 = 7 => 12 pairs (_) / G5 = 7 => 11 pairs (_) I1,I5: 7.. / I1 = 7 => 11 pairs (_) / I5 = 7 => 12 pairs (_) G1,I1: 9.. / G1 = 9 => 11 pairs (_) / I1 = 9 => 12 pairs (_) C4,C5: 9.. / C4 = 9 => 15 pairs (_) / C5 = 9 => 14 pairs (_) D4,D6: 9.. / D4 = 9 => 11 pairs (_) / D6 = 9 => 15 pairs (_) * DURATION: 0:00:11.828380 START: 14:10:38.980434 END: 14:10:50.808814 2025-04-05 * CP COUNT: (34) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:08.830002 START: 14:10:59.810957 END: 14:11:08.640959 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00146935-base-pr-002.dot * REASONING * PRF # E3: 1,3 # E9: 2 => SOL * STA # E3: 1,3 + E9: 2 * CNT 1 HDP CHAINS / 35 HYP OPENED
Header Info
rating: 39340; r2: 733272; index: 146935
Solution
position: 123456789456789123798231645231975468549168237687342951312894576864517392975623814 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 # E3: 1,3 => UNS * INC # E3: 5,8 => UNS * INC # F9: 1,3 => UNS * INC # F9: 6,7 => UNS * INC # G5: 7,9 => UNS * INC # G5: 2,4,5 => UNS * INC # I5: 7,9 => UNS * INC # I5: 2,5 => UNS * INC # G5: 2,5 => UNS * INC # I5: 2,5 => UNS * INC # G5: 5,9 => UNS * INC # I5: 5,9 => UNS * INC # H6: 3,5 => UNS * INC # H6: 1,8 => UNS * INC # B5: 3,5 => UNS * INC # B5: 4 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1 => UNS * INC # F9: 6,7 => UNS * INC # F9: 1,3 => UNS * INC # E9: 1,2 => UNS * INC # E9: 3 => UNS * INC # I8: 1,2 => UNS * INC # I8: 5,8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E3: 1,3 => UNS * INC # E3: 5,8 => UNS * INC # F9: 1,3 => UNS * INC # F9: 6,7 => UNS * INC # G5: 7,9 => UNS * INC # G5: 2,4,5 => UNS * INC # I5: 7,9 => UNS * INC # I5: 2,5 => UNS * INC # G5: 2,5 => UNS * INC # I5: 2,5 => UNS * INC # G5: 5,9 => UNS * INC # I5: 5,9 => UNS * INC # H6: 3,5 => UNS * INC # H6: 1,8 => UNS * INC # B5: 3,5 => UNS * INC # B5: 4 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1 => UNS * INC # F9: 6,7 => UNS * INC # F9: 1,3 => UNS * INC # E9: 1,2 => UNS * INC # E9: 3 => UNS * INC # I8: 1,2 => UNS * INC # I8: 5,8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E3: 1,3 => UNS * INC # E3: 5,8 => UNS * INC # F9: 1,3 => UNS * INC # F9: 6,7 => UNS * INC # G5: 7,9 => UNS * INC # G5: 2,4,5 => UNS * INC # I5: 7,9 => UNS * INC # I5: 2,5 => UNS * INC # G5: 2,5 => UNS * INC # I5: 2,5 => UNS * INC # G5: 5,9 => UNS * INC # I5: 5,9 => UNS * INC # H6: 3,5 => UNS * INC # H6: 1,8 => UNS * INC # B5: 3,5 => UNS * INC # B5: 4 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1 => UNS * INC # F9: 6,7 => UNS * INC # F9: 1,3 => UNS * INC # E9: 1,2 => UNS * INC # E9: 3 => UNS * INC # I8: 1,2 => UNS * INC # I8: 5,8 => UNS * INC # E3: 1,3 # A1: 5,8 => UNS * INC # E3: 1,3 # B2: 5,8 => UNS * INC # E3: 1,3 # C9: 5,8 => UNS * INC # E3: 1,3 # C9: 1 => UNS * INC # E3: 1,3 # A1: 5,8 => UNS * INC # E3: 1,3 # H1: 5,8 => UNS * INC # E3: 1,3 # B2: 5,8 => UNS * INC # E3: 1,3 # G2: 5,8 => UNS * INC # E3: 1,3 # E9: 1,3 => UNS * PRF # E3: 1,3 # E9: 2 => SOL * STA # E3: 1,3 + E9: 2 * CNT 34 HDP CHAINS / 35 HYP OPENED