Analysis of xx-mith-te3-00144542-base.sdk
Contents
Original Sudoku
level: hard
position: .234.6...45.1.9...............74..987...681.48..9.167..8.6.49.1.6......7......86. initial
Autosolve
position: .234.6...45.1.9...............74..987...681.48..9.167..8.6.49.1.6.8....7......86. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # G3: 5,7 => CTR => G3: 2,3,4 * 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 # G3: 5,7 => CTR => G3: 2,3,4 * STA G3: 2,3,4 * CNT 1 HDP CHAINS / 45 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .234.6...45.1.9...............74..987...681.48..9.167..8.6.49.1.6.8....7......86. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:08.498066
The following important HDP chains were detected:
* PRF # B3: 1,9 # G8: 2,3 => SOL * STA # B3: 1,9 + G8: 2,3 * CNT 1 HDP CHAINS / 38 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .234.6...45.1.9...............74..987...681.48..9.167..8.6.49.1.6......7......86. | initial |
| .234.6...45.1.9...............74..987...681.48..9.167..8.6.49.1.6.8....7......86. | autosolve |
| .234.6...45.1.9...............74..987...681.48..9.167..8.6.49.1.6.8....7......86. | pair_reduction |
| 123456789457189236698237415216743598739568124845921673382674951561892347974315862 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A1: 1,9 G1: 5,7 I1: 5,9 B4: 1,3 B5: 3,9 B6: 3,4 E8: 1,9 E9: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H3: 1.. / H1 = 1 => 11 pairs (_) / H3 = 1 => 9 pairs (_) E8,E9: 1.. / E8 = 1 => 6 pairs (_) / E9 = 1 => 6 pairs (_) A1,H1: 1.. / A1 = 1 => 9 pairs (_) / H1 = 1 => 11 pairs (_) G3,H3: 4.. / G3 = 4 => 8 pairs (_) / H3 = 4 => 0 pairs (X) B6,C6: 4.. / B6 = 4 => 8 pairs (_) / C6 = 4 => 9 pairs (_) B9,C9: 4.. / B9 = 4 => 9 pairs (_) / C9 = 4 => 8 pairs (_) G8,H8: 4.. / G8 = 4 => 0 pairs (X) / H8 = 4 => 8 pairs (_) B6,B9: 4.. / B6 = 4 => 8 pairs (_) / B9 = 4 => 9 pairs (_) C6,C9: 4.. / C6 = 4 => 9 pairs (_) / C9 = 4 => 8 pairs (_) G3,G8: 4.. / G3 = 4 => 8 pairs (_) / G8 = 4 => 0 pairs (X) H3,H8: 4.. / H3 = 4 => 0 pairs (X) / H8 = 4 => 8 pairs (_) I2,I3: 6.. / I2 = 6 => 9 pairs (_) / I3 = 6 => 11 pairs (_) A4,C4: 6.. / A4 = 6 => 12 pairs (_) / C4 = 6 => 9 pairs (_) C2,I2: 6.. / C2 = 6 => 11 pairs (_) / I2 = 6 => 9 pairs (_) A3,A4: 6.. / A3 = 6 => 9 pairs (_) / A4 = 6 => 12 pairs (_) E7,F9: 7.. / E7 = 7 => 8 pairs (_) / F9 = 7 => 9 pairs (_) E1,G1: 7.. / E1 = 7 => 10 pairs (_) / G1 = 7 => 9 pairs (_) C7,E7: 7.. / C7 = 7 => 9 pairs (_) / E7 = 7 => 8 pairs (_) B3,B9: 7.. / B3 = 7 => 9 pairs (_) / B9 = 7 => 8 pairs (_) F3,F9: 7.. / F3 = 7 => 8 pairs (_) / F9 = 7 => 9 pairs (_) C2,C3: 8.. / C2 = 8 => 11 pairs (_) / C3 = 8 => 9 pairs (_) E1,H1: 8.. / E1 = 8 => 9 pairs (_) / H1 = 8 => 10 pairs (_) I1,I3: 9.. / I1 = 9 => 9 pairs (_) / I3 = 9 => 11 pairs (_) B5,C5: 9.. / B5 = 9 => 9 pairs (_) / C5 = 9 => 10 pairs (_) E8,E9: 9.. / E8 = 9 => 6 pairs (_) / E9 = 9 => 6 pairs (_) A1,I1: 9.. / A1 = 9 => 11 pairs (_) / I1 = 9 => 9 pairs (_) * DURATION: 0:00:07.008639 START: 13:42:59.060857 END: 13:43:06.069496 2025-04-05 * CP COUNT: (26) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:08.352541 START: 13:43:17.416748 END: 13:43:25.769289 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00144542-base-pr-002.dot * REASONING * PRF # B3: 1,9 # G8: 2,3 => SOL * STA # B3: 1,9 + G8: 2,3 * CNT 1 HDP CHAINS / 38 HYP OPENED
Header Info
rating: 38576; r2: 739886; index: 144542
Solution
position: 123456789457189236698237415216743598739568124845921673382674951561892347974315862 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 # A3: 1,9 => UNS * INC # B3: 1,9 => UNS * INC # C3: 1,9 => UNS * INC # A8: 1,9 => UNS * INC # A9: 1,9 => UNS * DIS # G3: 5,7 => CTR => G3: 2,3,4 * INC # G3: 2,3,4 => UNS * INC # E1: 5,7 => UNS * INC # E1: 8 => UNS * INC # I3: 5,9 => UNS * INC # I3: 2,3,6 => UNS * INC # A4: 1,3 => UNS * INC # A4: 2,5,6 => UNS * INC # B9: 1,3 => UNS * INC # B9: 4,7,9 => UNS * INC # B9: 3,9 => UNS * INC # B9: 1,4,7 => UNS * INC # B9: 3,4 => UNS * INC # B9: 1,7,9 => UNS * INC # A8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # A9: 1,9 => UNS * INC # B9: 1,9 => UNS * INC # C9: 1,9 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,9 => UNS * INC # B3: 1,9 => UNS * INC # C3: 1,9 => UNS * INC # A8: 1,9 => UNS * INC # A9: 1,9 => UNS * DIS # G3: 5,7 => CTR => G3: 2,3,4 * INC G3: 2,3,4 # E1: 5,7 => UNS * INC G3: 2,3,4 # E1: 8 => UNS * INC G3: 2,3,4 # I3: 5,9 => UNS * INC G3: 2,3,4 # I3: 2,3,6 => UNS * INC G3: 2,3,4 # A4: 1,3 => UNS * INC G3: 2,3,4 # A4: 2,5,6 => UNS * INC G3: 2,3,4 # B9: 1,3 => UNS * INC G3: 2,3,4 # B9: 4,7,9 => UNS * INC G3: 2,3,4 # B9: 3,9 => UNS * INC G3: 2,3,4 # B9: 1,4,7 => UNS * INC G3: 2,3,4 # B9: 3,4 => UNS * INC G3: 2,3,4 # B9: 1,7,9 => UNS * INC G3: 2,3,4 # A8: 1,9 => UNS * INC G3: 2,3,4 # C8: 1,9 => UNS * INC G3: 2,3,4 # A9: 1,9 => UNS * INC G3: 2,3,4 # B9: 1,9 => UNS * INC G3: 2,3,4 # C9: 1,9 => UNS * INC G3: 2,3,4 # A3: 1,9 => UNS * INC G3: 2,3,4 # B3: 1,9 => UNS * INC G3: 2,3,4 # C3: 1,9 => UNS * INC G3: 2,3,4 # A8: 1,9 => UNS * INC G3: 2,3,4 # A9: 1,9 => UNS * INC G3: 2,3,4 # E1: 5,7 => UNS * INC G3: 2,3,4 # E1: 8 => UNS * INC G3: 2,3,4 # I3: 5,9 => UNS * INC G3: 2,3,4 # I3: 2,3,6 => UNS * INC G3: 2,3,4 # A4: 1,3 => UNS * INC G3: 2,3,4 # A4: 2,5,6 => UNS * INC G3: 2,3,4 # B9: 1,3 => UNS * INC G3: 2,3,4 # B9: 4,7,9 => UNS * INC G3: 2,3,4 # B9: 3,9 => UNS * INC G3: 2,3,4 # B9: 1,4,7 => UNS * INC G3: 2,3,4 # B9: 3,4 => UNS * INC G3: 2,3,4 # B9: 1,7,9 => UNS * INC G3: 2,3,4 # A8: 1,9 => UNS * INC G3: 2,3,4 # C8: 1,9 => UNS * INC G3: 2,3,4 # A9: 1,9 => UNS * INC G3: 2,3,4 # B9: 1,9 => UNS * INC G3: 2,3,4 # C9: 1,9 => UNS * STA G3: 2,3,4 * CNT 45 HDP CHAINS / 45 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,9 => UNS * INC # B3: 1,9 => UNS * INC # C3: 1,9 => UNS * INC # A8: 1,9 => UNS * INC # A9: 1,9 => UNS * INC # E1: 5,7 => UNS * INC # E1: 8 => UNS * INC # I3: 5,9 => UNS * INC # I3: 2,3,6 => UNS * INC # A4: 1,3 => UNS * INC # A4: 2,5,6 => UNS * INC # B9: 1,3 => UNS * INC # B9: 4,7,9 => UNS * INC # B9: 3,9 => UNS * INC # B9: 1,4,7 => UNS * INC # B9: 3,4 => UNS * INC # B9: 1,7,9 => UNS * INC # A8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # A9: 1,9 => UNS * INC # B9: 1,9 => UNS * INC # C9: 1,9 => UNS * INC # A3: 1,9 # E1: 5,7 => UNS * INC # A3: 1,9 # E1: 8 => UNS * INC # A3: 1,9 # I3: 5,9 => UNS * INC # A3: 1,9 # I3: 2,3,6 => UNS * INC # A3: 1,9 # B9: 1,9 => UNS * INC # A3: 1,9 # C9: 1,9 => UNS * INC # A3: 1,9 # B9: 1,9 => UNS * INC # A3: 1,9 # C9: 1,9 => UNS * INC # A3: 1,9 => UNS * INC # B3: 1,9 # H2: 2,3 => UNS * INC # B3: 1,9 # I3: 2,3 => UNS * INC # B3: 1,9 # E2: 2,3 => UNS * INC # B3: 1,9 # E2: 8 => UNS * INC # B3: 1,9 # G4: 2,3 => UNS * PRF # B3: 1,9 # G8: 2,3 => SOL * STA # B3: 1,9 + G8: 2,3 * CNT 37 HDP CHAINS / 38 HYP OPENED