Analysis of xx-mith-te3-00128428-base.sdk
Contents
Original Sudoku
level: hard
position: 1..4.6..94.6.891...........217....383.5.....169...3....3...8..6.6.9.1..4....6.8.. initial
Autosolve
position: 1..4.6.894.6.891...........217....383.5.....169...3....3...8..6.6.9.1..4....6.8.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C3: 2,3 => CTR => C3: 8,9 * DIS # E6: 4,5 => CTR => E6: 1,2,7 * CNT 2 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # C3: 2,3 => CTR => C3: 8,9 * STA C3: 8,9 * CNT 1 HDP CHAINS / 27 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.34.6.894.6.891.3...13....217....383.5.....169..13....3...8..6.6.9.13.4...36.8.. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:09.732965
The following important HDP chains were detected:
* DIS # A3: 5,7 # F9: 2,7 => CTR => F9: 4,5 * PRF # A3: 5,7 + F9: 4,5 # E4: 9 => SOL * STA # A3: 5,7 + F9: 4,5 + E4: 9 * CNT 2 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..4.6..94.6.891...........217....383.5.....169...3....3...8..6.6.9.1..4....6.8.. | initial |
| 1..4.6.894.6.891...........217....383.5.....169...3....3...8..6.6.9.1..4....6.8.. | autosolve |
| 1.34.6.894.6.891.3...13....217....383.5.....169..13....3...8..6.6.9.13.4...36.8.. | pair_reduction |
| 123456789456789123789132465217694538345827691698513247531248976862971354974365812 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) C1: 2,3 G3: 4,6 H3: 4,6 B5: 4,8 C6: 4,8 D4: 5,6 F4: 4,5 C8: 2,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D3,E3: 1.. / D3 = 1 => 8 pairs (_) / E3 = 1 => 0 pairs (X) D6,E6: 1.. / D6 = 1 => 0 pairs (X) / E6 = 1 => 8 pairs (_) C7,C9: 1.. / C7 = 1 => 10 pairs (_) / C9 = 1 => 8 pairs (_) H7,H9: 1.. / H7 = 1 => 8 pairs (_) / H9 = 1 => 10 pairs (_) C7,H7: 1.. / C7 = 1 => 10 pairs (_) / H7 = 1 => 8 pairs (_) C9,H9: 1.. / C9 = 1 => 8 pairs (_) / H9 = 1 => 10 pairs (_) D3,D6: 1.. / D3 = 1 => 8 pairs (_) / D6 = 1 => 0 pairs (X) E3,E6: 1.. / E3 = 1 => 0 pairs (X) / E6 = 1 => 8 pairs (_) C1,C3: 3.. / C1 = 3 => 7 pairs (_) / C3 = 3 => 0 pairs (X) E8,D9: 3.. / E8 = 3 => 0 pairs (X) / D9 = 3 => 8 pairs (_) G8,I9: 3.. / G8 = 3 => 8 pairs (_) / I9 = 3 => 0 pairs (X) D2,I2: 3.. / D2 = 3 => 0 pairs (X) / I2 = 3 => 8 pairs (_) E8,G8: 3.. / E8 = 3 => 0 pairs (X) / G8 = 3 => 8 pairs (_) D9,I9: 3.. / D9 = 3 => 8 pairs (_) / I9 = 3 => 0 pairs (X) G1,G8: 3.. / G1 = 3 => 0 pairs (X) / G8 = 3 => 8 pairs (_) G3,H3: 4.. / G3 = 4 => 7 pairs (_) / H3 = 4 => 7 pairs (_) B5,C6: 4.. / B5 = 4 => 11 pairs (_) / C6 = 4 => 11 pairs (_) E7,F9: 4.. / E7 = 4 => 9 pairs (_) / F9 = 4 => 15 pairs (_) C7,E7: 4.. / C7 = 4 => 15 pairs (_) / E7 = 4 => 9 pairs (_) B5,B9: 4.. / B5 = 4 => 11 pairs (_) / B9 = 4 => 11 pairs (_) G3,H3: 6.. / G3 = 6 => 7 pairs (_) / H3 = 6 => 7 pairs (_) D4,D5: 6.. / D4 = 6 => 7 pairs (_) / D5 = 6 => 9 pairs (_) D4,G4: 6.. / D4 = 6 => 7 pairs (_) / G4 = 6 => 9 pairs (_) H3,H5: 6.. / H3 = 6 => 7 pairs (_) / H5 = 6 => 7 pairs (_) B5,C6: 8.. / B5 = 8 => 11 pairs (_) / C6 = 8 => 11 pairs (_) D5,D6: 8.. / D5 = 8 => 11 pairs (_) / D6 = 8 => 11 pairs (_) A8,C8: 8.. / A8 = 8 => 9 pairs (_) / C8 = 8 => 11 pairs (_) B5,D5: 8.. / B5 = 8 => 11 pairs (_) / D5 = 8 => 11 pairs (_) C6,D6: 8.. / C6 = 8 => 11 pairs (_) / D6 = 8 => 11 pairs (_) A3,A8: 8.. / A3 = 8 => 11 pairs (_) / A8 = 8 => 9 pairs (_) B3,B5: 8.. / B3 = 8 => 11 pairs (_) / B5 = 8 => 11 pairs (_) A3,C3: 9.. / A3 = 9 => 14 pairs (_) / C3 = 9 => 7 pairs (_) E4,E5: 9.. / E4 = 9 => 8 pairs (_) / E5 = 9 => 11 pairs (_) E4,G4: 9.. / E4 = 9 => 8 pairs (_) / G4 = 9 => 11 pairs (_) * DURATION: 0:00:09.215061 START: 09:44:44.911945 END: 09:44:54.127006 2025-04-05 * CP COUNT: (34) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:09.587875 START: 09:45:01.997544 END: 09:45:11.585419 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00128428-base-pr-002.dot * REASONING * DIS # A3: 5,7 # F9: 2,7 => CTR => F9: 4,5 * PRF # A3: 5,7 + F9: 4,5 # E4: 9 => SOL * STA # A3: 5,7 + F9: 4,5 + E4: 9 * CNT 2 HDP CHAINS / 36 HYP OPENED
Header Info
rating: 33801; r2: 760169; index: 128428
Solution
position: 123456789456789123789132465217694538345827691698513247531248976862971354974365812 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:
* DIS # C3: 2,3 => CTR => C3: 8,9 * INC # C3: 8,9 => UNS * INC # E1: 2,3 => UNS * INC # G1: 2,3 => UNS * INC # G4: 4,6 => UNS * INC # G5: 4,6 => UNS * INC # H5: 4,6 => UNS * INC # H5: 2,7,9 => UNS * INC # G4: 5,6 => UNS * INC # G4: 4,9 => UNS * INC # E4: 4,5 => UNS * DIS # E6: 4,5 => CTR => E6: 1,2,7 * INC # E6: 1,2,7 => UNS * INC # G4: 4,5 => UNS * INC # G4: 6,9 => UNS * INC # F9: 4,5 => UNS * INC # F9: 2,7 => UNS * INC # C3: 2,8 => UNS * INC # C3: 3,9 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # C3: 2,3 => CTR => C3: 8,9 * INC C3: 8,9 # G4: 4,6 => UNS * INC C3: 8,9 # G5: 4,6 => UNS * INC C3: 8,9 # H5: 4,6 => UNS * INC C3: 8,9 # H5: 2,7,9 => UNS * INC C3: 8,9 # G4: 5,6 => UNS * INC C3: 8,9 # G4: 4,9 => UNS * INC C3: 8,9 # E4: 4,5 => UNS * INC C3: 8,9 # E4: 9 => UNS * INC C3: 8,9 # G4: 4,5 => UNS * INC C3: 8,9 # G4: 6,9 => UNS * INC C3: 8,9 # F9: 4,5 => UNS * INC C3: 8,9 # F9: 2,7 => UNS * INC C3: 8,9 # A3: 8,9 => UNS * INC C3: 8,9 # A3: 5,7 => UNS * INC C3: 8,9 # G4: 4,6 => UNS * INC C3: 8,9 # G5: 4,6 => UNS * INC C3: 8,9 # H5: 4,6 => UNS * INC C3: 8,9 # H5: 2,7,9 => UNS * INC C3: 8,9 # G4: 5,6 => UNS * INC C3: 8,9 # G4: 4,9 => UNS * INC C3: 8,9 # E4: 4,5 => UNS * INC C3: 8,9 # E4: 9 => UNS * INC C3: 8,9 # G4: 4,5 => UNS * INC C3: 8,9 # G4: 6,9 => UNS * INC C3: 8,9 # F9: 4,5 => UNS * INC C3: 8,9 # F9: 2,7 => UNS * STA C3: 8,9 * CNT 27 HDP CHAINS / 27 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 8,9 => UNS * INC # A3: 5,7 => UNS * INC # G4: 4,6 => UNS * INC # G5: 4,6 => UNS * INC # H5: 4,6 => UNS * INC # H5: 2,7,9 => UNS * INC # G4: 5,6 => UNS * INC # G4: 4,9 => UNS * INC # E4: 4,5 => UNS * INC # E4: 9 => UNS * INC # G4: 4,5 => UNS * INC # G4: 6,9 => UNS * INC # F9: 4,5 => UNS * INC # F9: 2,7 => UNS * INC # A3: 8,9 # G4: 4,6 => UNS * INC # A3: 8,9 # G5: 4,6 => UNS * INC # A3: 8,9 # G4: 4,6 => UNS * INC # A3: 8,9 # G5: 4,6 => UNS * INC # A3: 8,9 # C7: 1,9 => UNS * INC # A3: 8,9 # C7: 2 => UNS * INC # A3: 8,9 # C9: 1,9 => UNS * INC # A3: 8,9 # C9: 2 => UNS * INC # A3: 8,9 => UNS * INC # A3: 5,7 # B1: 5,7 => UNS * INC # A3: 5,7 # B2: 5,7 => UNS * INC # A3: 5,7 # F3: 5,7 => UNS * INC # A3: 5,7 # I3: 5,7 => UNS * INC # A3: 5,7 # A7: 5,7 => UNS * INC # A3: 5,7 # A9: 5,7 => UNS * INC # A3: 5,7 # E4: 4,5 => UNS * INC # A3: 5,7 # E4: 9 => UNS * INC # A3: 5,7 # F9: 4,5 => UNS * DIS # A3: 5,7 # F9: 2,7 => CTR => F9: 4,5 * INC # A3: 5,7 + F9: 4,5 # E4: 4,5 => UNS * PRF # A3: 5,7 + F9: 4,5 # E4: 9 => SOL * STA # A3: 5,7 + F9: 4,5 + E4: 9 * CNT 35 HDP CHAINS / 36 HYP OPENED