Analysis of xx-mith-te3-00065963-base.sdk
Contents
Original Sudoku
level: hard
position: ...45..8.4.....2.689....145.4.79.....3.8...5.9.8.3..7.......5..58.94...3.7.5.3... initial
Autosolve
position: ...45..8.4.....2.689....145.4.79....73.8...5.9.8.3..7.3.....5..58.94...3.7.5.3... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C2: 1,5 => CTR => C2: 3,7 * DIS # F6: 4,6 => CTR => F6: 1,2,5 * CNT 2 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 # C2: 1,5 => CTR => C2: 3,7 * STA C2: 3,7 * CNT 1 HDP CHAINS / 33 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...45..8.45....2.689....145.4579....73.8.4.5.9.8.35.7.3.....5..58.94...3.7.5.3... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:08.861431
The following important HDP chains were detected:
* DIS # C3: 2,6 # C5: 2,6 => CTR => C5: 1 * DIS # C3: 2,6 + C5: 1 # A1: 2,6 => CTR => A1: 1 * DIS # C3: 2,6 + C5: 1 + A1: 1 # E3: 2,6 => CTR => E3: 7 * PRF # C3: 2,6 + C5: 1 + A1: 1 + E3: 7 => SOL * STA C3: 2,6 * CNT 4 HDP CHAINS / 35 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...45..8.4.....2.689....145.4.79.....3.8...5.9.8.3..7.......5..58.94...3.7.5.3... | initial |
| ...45..8.4.....2.689....145.4.79....73.8...5.9.8.3..7.3.....5..58.94...3.7.5.3... | autosolve |
| ...45..8.45....2.689....145.4579....73.8.4.5.9.8.35.7.3.....5..58.94...3.7.5.3... | pair_reduction |
| 123456789457189236896372145245791368731864952968235471314628597582947613679513824 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) B2: 1,5 D2: 1,3 I1: 7,9 H2: 3,9 G6: 4,6 C7: 4,9 C9: 4,9 G8: 6,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 3.. / D2 = 3 => 11 pairs (_) / D3 = 3 => 11 pairs (_) G1,H2: 3.. / G1 = 3 => 11 pairs (_) / H2 = 3 => 11 pairs (_) G4,H4: 3.. / G4 = 3 => 11 pairs (_) / H4 = 3 => 11 pairs (_) C1,G1: 3.. / C1 = 3 => 11 pairs (_) / G1 = 3 => 11 pairs (_) C3,D3: 3.. / C3 = 3 => 11 pairs (_) / D3 = 3 => 11 pairs (_) G1,G4: 3.. / G1 = 3 => 11 pairs (_) / G4 = 3 => 11 pairs (_) H2,H4: 3.. / H2 = 3 => 11 pairs (_) / H4 = 3 => 11 pairs (_) F5,F6: 4.. / F5 = 4 => 9 pairs (_) / F6 = 4 => 0 pairs (X) C7,C9: 4.. / C7 = 4 => 6 pairs (_) / C9 = 4 => 8 pairs (_) C7,I7: 4.. / C7 = 4 => 6 pairs (_) / I7 = 4 => 8 pairs (_) B2,C2: 5.. / B2 = 5 => 8 pairs (_) / C2 = 5 => 0 pairs (X) C4,B6: 5.. / C4 = 5 => 8 pairs (_) / B6 = 5 => 0 pairs (X) F4,F6: 5.. / F4 = 5 => 0 pairs (X) / F6 = 5 => 8 pairs (_) C4,F4: 5.. / C4 = 5 => 8 pairs (_) / F4 = 5 => 0 pairs (X) B6,F6: 5.. / B6 = 5 => 0 pairs (X) / F6 = 5 => 8 pairs (_) B2,B6: 5.. / B2 = 5 => 8 pairs (_) / B6 = 5 => 0 pairs (X) C2,C4: 5.. / C2 = 5 => 0 pairs (X) / C4 = 5 => 8 pairs (_) C2,C3: 7.. / C2 = 7 => 9 pairs (_) / C3 = 7 => 14 pairs (_) G1,I1: 7.. / G1 = 7 => 15 pairs (_) / I1 = 7 => 7 pairs (_) I7,G8: 7.. / I7 = 7 => 15 pairs (_) / G8 = 7 => 7 pairs (_) F8,G8: 7.. / F8 = 7 => 15 pairs (_) / G8 = 7 => 7 pairs (_) G1,G8: 7.. / G1 = 7 => 15 pairs (_) / G8 = 7 => 7 pairs (_) I1,I7: 7.. / I1 = 7 => 7 pairs (_) / I7 = 7 => 15 pairs (_) E2,F2: 8.. / E2 = 8 => 8 pairs (_) / F2 = 8 => 11 pairs (_) G4,I4: 8.. / G4 = 8 => 12 pairs (_) / I4 = 8 => 10 pairs (_) F2,F7: 8.. / F2 = 8 => 11 pairs (_) / F7 = 8 => 8 pairs (_) G4,G9: 8.. / G4 = 8 => 12 pairs (_) / G9 = 8 => 10 pairs (_) F1,F2: 9.. / F1 = 9 => 11 pairs (_) / F2 = 9 => 11 pairs (_) G5,I5: 9.. / G5 = 9 => 9 pairs (_) / I5 = 9 => 11 pairs (_) C7,C9: 9.. / C7 = 9 => 8 pairs (_) / C9 = 9 => 6 pairs (_) F2,H2: 9.. / F2 = 9 => 11 pairs (_) / H2 = 9 => 11 pairs (_) * DURATION: 0:00:09.367952 START: 18:30:12.601293 END: 18:30:21.969245 2025-04-04 * CP COUNT: (31) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:08.728839 START: 18:30:32.393615 END: 18:30:41.122454 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00065963-base-pr-002.dot * REASONING * DIS # C3: 2,6 # C5: 2,6 => CTR => C5: 1 * DIS # C3: 2,6 + C5: 1 # A1: 2,6 => CTR => A1: 1 * DIS # C3: 2,6 + C5: 1 + A1: 1 # E3: 2,6 => CTR => E3: 7 * PRF # C3: 2,6 + C5: 1 + A1: 1 + E3: 7 => SOL * STA C3: 2,6 * CNT 4 HDP CHAINS / 35 HYP OPENED
Header Info
rating: 14540; r2: 433262; index: 65963
Solution
position: 123456789457189236896372145245791368731864952968235471314628597582947613679513824 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 # C2: 1,5 => CTR => C2: 3,7 * INC # C2: 3,7 => UNS * INC # B6: 1,5 => UNS * INC # B6: 2,6 => UNS * INC # C2: 1,3 => UNS * INC # C2: 5,7 => UNS * INC # G1: 7,9 => UNS * INC # G1: 3 => UNS * INC # I7: 7,9 => UNS * INC # I7: 1,2,4,8 => UNS * INC # G1: 3,9 => UNS * INC # G1: 7 => UNS * INC # G5: 4,6 => UNS * INC # G5: 9 => UNS * DIS # F6: 4,6 => CTR => F6: 1,2,5 * INC # F6: 1,2,5 => UNS * INC # G9: 4,6 => UNS * INC # G9: 8,9 => UNS * INC # I7: 4,9 => UNS * INC # I7: 1,2,7,8 => UNS * INC # G9: 4,9 => UNS * INC # I9: 4,9 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1,2 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # C2: 1,5 => CTR => C2: 3,7 * INC C2: 3,7 # G1: 7,9 => UNS * INC C2: 3,7 # G1: 3 => UNS * INC C2: 3,7 # I7: 7,9 => UNS * INC C2: 3,7 # I7: 1,2,4,8 => UNS * INC C2: 3,7 # G1: 3,9 => UNS * INC C2: 3,7 # G1: 7 => UNS * INC C2: 3,7 # G9: 4,6 => UNS * INC C2: 3,7 # G9: 8,9 => UNS * INC C2: 3,7 # I7: 4,9 => UNS * INC C2: 3,7 # I7: 1,2,7,8 => UNS * INC C2: 3,7 # G9: 4,9 => UNS * INC C2: 3,7 # I9: 4,9 => UNS * INC C2: 3,7 # F8: 6,7 => UNS * INC C2: 3,7 # F8: 1,2 => UNS * INC C2: 3,7 # C3: 3,7 => UNS * INC C2: 3,7 # C3: 2,6 => UNS * INC C2: 3,7 # G1: 7,9 => UNS * INC C2: 3,7 # G1: 3 => UNS * INC C2: 3,7 # I7: 7,9 => UNS * INC C2: 3,7 # I7: 1,2,4,8 => UNS * INC C2: 3,7 # G1: 3,9 => UNS * INC C2: 3,7 # G1: 7 => UNS * INC C2: 3,7 # G9: 6,9 => UNS * INC C2: 3,7 # G9: 4,8 => UNS * INC C2: 3,7 # G9: 4,6 => UNS * INC C2: 3,7 # G9: 8,9 => UNS * INC C2: 3,7 # I7: 4,9 => UNS * INC C2: 3,7 # I7: 1,2,7,8 => UNS * INC C2: 3,7 # G9: 4,9 => UNS * INC C2: 3,7 # I9: 4,9 => UNS * INC C2: 3,7 # F8: 6,7 => UNS * INC C2: 3,7 # F8: 1,2 => UNS * STA C2: 3,7 * CNT 33 HDP CHAINS / 33 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C3: 3,7 => UNS * INC # C3: 2,6 => UNS * INC # G1: 7,9 => UNS * INC # G1: 3 => UNS * INC # I7: 7,9 => UNS * INC # I7: 1,2,4,8 => UNS * INC # G1: 3,9 => UNS * INC # G1: 7 => UNS * INC # G9: 6,9 => UNS * INC # G9: 4,8 => UNS * INC # G9: 4,6 => UNS * INC # G9: 8,9 => UNS * INC # I7: 4,9 => UNS * INC # I7: 1,2,7,8 => UNS * INC # G9: 4,9 => UNS * INC # I9: 4,9 => UNS * INC # F8: 6,7 => UNS * INC # F8: 1,2 => UNS * INC # C3: 3,7 # G9: 4,9 => UNS * INC # C3: 3,7 # I9: 4,9 => UNS * INC # C3: 3,7 # E2: 7,8 => UNS * INC # C3: 3,7 # E2: 1 => UNS * INC # C3: 3,7 # F2: 7,8 => UNS * INC # C3: 3,7 # F2: 1 => UNS * INC # C3: 3,7 # G9: 4,9 => UNS * INC # C3: 3,7 # I9: 4,9 => UNS * INC # C3: 3,7 => UNS * INC # C3: 2,6 # A1: 2,6 => UNS * INC # C3: 2,6 # B1: 2,6 => UNS * INC # C3: 2,6 # E3: 2,6 => UNS * INC # C3: 2,6 # F3: 2,6 => UNS * DIS # C3: 2,6 # C5: 2,6 => CTR => C5: 1 * DIS # C3: 2,6 + C5: 1 # A1: 2,6 => CTR => A1: 1 * DIS # C3: 2,6 + C5: 1 + A1: 1 # E3: 2,6 => CTR => E3: 7 * PRF # C3: 2,6 + C5: 1 + A1: 1 + E3: 7 => SOL * STA C3: 2,6 * CNT 35 HDP CHAINS / 35 HYP OPENED