Analysis of xx-mith-te3-00037866-base.sdk
Contents
Original Sudoku
level: hard
position: .23....8.45.7.......9.....6.1..65.74........5.4.87..1....5.8.6....61...88...47.51 initial
Autosolve
position: .23....8.45.7.......9.....6.1..65.74........5.4.87..1....5.8.6....61...88...47.51 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C5: 2,8 => CTR => C5: 6,7 * CNT 1 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # C5: 2,8 => CTR => C5: 6,7 * STA C5: 6,7 * CNT 1 HDP CHAINS / 47 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .23....8.45.7.......9.....6.1..65.74........5.4.87..1....5.8.6....61...88...47.51 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:04.837386
The following important HDP chains were detected:
* PRF # A1: 1,7 # G1: 1,7 => SOL * STA # A1: 1,7 + G1: 1,7 * CNT 1 HDP CHAINS / 26 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23....8.45.7.......9.....6.1..65.74........5.4.87..1....5.8.6....61...88...47.51 | initial |
| .23....8.45.7.......9.....6.1..65.74........5.4.87..1....5.8.6....61...88...47.51 | autosolve |
| .23....8.45.7.......9.....6.1..65.74........5.4.87..1....5.8.6....61...88...47.51 | pair_reduction |
| 123456789456789132789231546218365974637194825945872613391528467574613298862947351 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A3: 1,7 B3: 7,8 E1: 5,9 I1: 7,9 C4: 2,8 D5: 1,4 F5: 1,4 C9: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,F5: 1.. / D5 = 1 => 7 pairs (_) / F5 = 1 => 7 pairs (_) A7,C7: 1.. / A7 = 1 => 12 pairs (_) / C7 = 1 => 9 pairs (_) C2,C7: 1.. / C2 = 1 => 12 pairs (_) / C7 = 1 => 9 pairs (_) D5,F5: 4.. / D5 = 4 => 7 pairs (_) / F5 = 4 => 7 pairs (_) C7,C8: 4.. / C7 = 4 => 11 pairs (_) / C8 = 4 => 8 pairs (_) C7,G7: 4.. / C7 = 4 => 11 pairs (_) / G7 = 4 => 8 pairs (_) H3,H8: 4.. / H3 = 4 => 8 pairs (_) / H8 = 4 => 0 pairs (X) E1,E3: 5.. / E1 = 5 => 8 pairs (_) / E3 = 5 => 10 pairs (_) G1,G3: 5.. / G1 = 5 => 10 pairs (_) / G3 = 5 => 8 pairs (_) A6,C6: 5.. / A6 = 5 => 16 pairs (_) / C6 = 5 => 8 pairs (_) A8,C8: 5.. / A8 = 5 => 8 pairs (_) / C8 = 5 => 16 pairs (_) E1,G1: 5.. / E1 = 5 => 8 pairs (_) / G1 = 5 => 10 pairs (_) E3,G3: 5.. / E3 = 5 => 10 pairs (_) / G3 = 5 => 8 pairs (_) A6,A8: 5.. / A6 = 5 => 16 pairs (_) / A8 = 5 => 8 pairs (_) C6,C8: 5.. / C6 = 5 => 8 pairs (_) / C8 = 5 => 16 pairs (_) A1,C2: 6.. / A1 = 6 => 9 pairs (_) / C2 = 6 => 9 pairs (_) F1,F2: 6.. / F1 = 6 => 9 pairs (_) / F2 = 6 => 9 pairs (_) G5,G6: 6.. / G5 = 6 => 0 pairs (X) / G6 = 6 => 9 pairs (_) B9,C9: 6.. / B9 = 6 => 10 pairs (_) / C9 = 6 => 11 pairs (_) A1,F1: 6.. / A1 = 6 => 9 pairs (_) / F1 = 6 => 9 pairs (_) C2,F2: 6.. / C2 = 6 => 9 pairs (_) / F2 = 6 => 9 pairs (_) B5,B9: 6.. / B5 = 6 => 11 pairs (_) / B9 = 6 => 10 pairs (_) I1,I7: 7.. / I1 = 7 => 8 pairs (_) / I7 = 7 => 0 pairs (*) C2,B3: 8.. / C2 = 8 => 0 pairs (X) / B3 = 8 => 8 pairs (_) E2,E3: 8.. / E2 = 8 => 8 pairs (_) / E3 = 8 => 0 pairs (X) G4,G5: 8.. / G4 = 8 => 0 pairs (X) / G5 = 8 => 8 pairs (_) C2,E2: 8.. / C2 = 8 => 0 pairs (X) / E2 = 8 => 8 pairs (_) B3,E3: 8.. / B3 = 8 => 8 pairs (_) / E3 = 8 => 0 pairs (X) C4,G4: 8.. / C4 = 8 => 8 pairs (_) / G4 = 8 => 0 pairs (X) B3,B5: 8.. / B3 = 8 => 8 pairs (_) / B5 = 8 => 0 pairs (X) * DURATION: 0:00:07.988107 START: 07:27:05.155483 END: 07:27:13.143590 2025-04-06 * CP COUNT: (30) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.693062 START: 07:27:23.900361 END: 07:27:28.593423 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00037866-base-pr-002.dot * REASONING * PRF # A1: 1,7 # G1: 1,7 => SOL * STA # A1: 1,7 + G1: 1,7 * CNT 1 HDP CHAINS / 26 HYP OPENED
Header Info
rating: 7905; r2: 289652; index: 37866
Solution
position: 123456789456789132789231546218365974637194825945872613391528467574613298862947351 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 # A1: 1,7 => UNS * INC # A1: 6 => UNS * INC # G3: 1,7 => UNS * INC # G3: 2,3,4,5 => UNS * INC # A7: 1,7 => UNS * INC # A7: 2,3,9 => UNS * INC # B5: 7,8 => UNS * INC # B5: 3,6,9 => UNS * INC # G1: 5,9 => UNS * INC # G1: 1,4,7 => UNS * INC # G1: 7,9 => UNS * INC # G1: 1,4,5 => UNS * INC # I7: 7,9 => UNS * INC # I7: 2,3 => UNS * DIS # C5: 2,8 => CTR => C5: 6,7 * INC # C5: 6,7 => UNS * INC # G4: 2,8 => UNS * INC # G4: 3,9 => UNS * INC # D1: 1,4 => UNS * INC # D3: 1,4 => UNS * INC # F1: 1,4 => UNS * INC # F3: 1,4 => UNS * INC # C5: 2,6 => UNS * INC # C6: 2,6 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 1,7 => UNS * INC # A1: 6 => UNS * INC # G3: 1,7 => UNS * INC # G3: 2,3,4,5 => UNS * INC # A7: 1,7 => UNS * INC # A7: 2,3,9 => UNS * INC # B5: 7,8 => UNS * INC # B5: 3,6,9 => UNS * INC # G1: 5,9 => UNS * INC # G1: 1,4,7 => UNS * INC # G1: 7,9 => UNS * INC # G1: 1,4,5 => UNS * INC # I7: 7,9 => UNS * INC # I7: 2,3 => UNS * DIS # C5: 2,8 => CTR => C5: 6,7 * INC C5: 6,7 # G4: 2,8 => UNS * INC C5: 6,7 # G4: 3,9 => UNS * INC C5: 6,7 # D1: 1,4 => UNS * INC C5: 6,7 # D3: 1,4 => UNS * INC C5: 6,7 # F1: 1,4 => UNS * INC C5: 6,7 # F3: 1,4 => UNS * INC C5: 6,7 # C6: 2,6 => UNS * INC C5: 6,7 # C6: 5 => UNS * INC C5: 6,7 # A1: 1,7 => UNS * INC C5: 6,7 # A1: 6 => UNS * INC C5: 6,7 # G3: 1,7 => UNS * INC C5: 6,7 # G3: 2,3,4,5 => UNS * INC C5: 6,7 # A7: 1,7 => UNS * INC C5: 6,7 # A7: 2,3,9 => UNS * INC C5: 6,7 # B5: 7,8 => UNS * INC C5: 6,7 # B5: 3,6,9 => UNS * INC C5: 6,7 # G1: 5,9 => UNS * INC C5: 6,7 # G1: 1,4,7 => UNS * INC C5: 6,7 # G1: 7,9 => UNS * INC C5: 6,7 # G1: 1,4,5 => UNS * INC C5: 6,7 # I7: 7,9 => UNS * INC C5: 6,7 # I7: 2,3 => UNS * INC C5: 6,7 # G4: 2,8 => UNS * INC C5: 6,7 # G4: 3,9 => UNS * INC C5: 6,7 # A5: 6,7 => UNS * INC C5: 6,7 # B5: 6,7 => UNS * INC C5: 6,7 # D1: 1,4 => UNS * INC C5: 6,7 # D3: 1,4 => UNS * INC C5: 6,7 # F1: 1,4 => UNS * INC C5: 6,7 # F3: 1,4 => UNS * INC C5: 6,7 # C6: 2,6 => UNS * INC C5: 6,7 # C6: 5 => UNS * STA C5: 6,7 * CNT 47 HDP CHAINS / 47 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 1,7 => UNS * INC # A1: 6 => UNS * INC # G3: 1,7 => UNS * INC # G3: 2,3,4,5 => UNS * INC # A7: 1,7 => UNS * INC # A7: 2,3,9 => UNS * INC # B5: 7,8 => UNS * INC # B5: 3,6,9 => UNS * INC # G1: 5,9 => UNS * INC # G1: 1,4,7 => UNS * INC # G1: 7,9 => UNS * INC # G1: 1,4,5 => UNS * INC # I7: 7,9 => UNS * INC # I7: 2,3 => UNS * INC # G4: 2,8 => UNS * INC # G4: 3,9 => UNS * INC # A5: 6,7 => UNS * INC # B5: 6,7 => UNS * INC # D1: 1,4 => UNS * INC # D3: 1,4 => UNS * INC # F1: 1,4 => UNS * INC # F3: 1,4 => UNS * INC # C6: 2,6 => UNS * INC # C6: 5 => UNS * PRF # A1: 1,7 # G1: 1,7 => SOL * STA # A1: 1,7 + G1: 1,7 * CNT 25 HDP CHAINS / 26 HYP OPENED