Analysis of xx-mith-te3-00115828-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4.....45.....36..9..3......3.5.78.7.86........7436.5.....6.77.....85.8......43 initial
Autosolve
position: .2.4.....45.....36..9..3......3.5.78.7.86........7436.5....86.77.....85.8......43 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D3: 1,6 => CTR => D3: 2,5,7 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D3: 1,6 => CTR => D3: 2,5,7 * STA D3: 2,5,7 * CNT 1 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .2.4.6...45.....36..9..3......3.5.78.7.86........7436.5....86.77.....85.8......43 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:15.333920
The following important HDP chains were detected:
* PRF # C1: 3 # D2: 1,2 => SOL * STA # C1: 3 + D2: 1,2 * CNT 1 HDP CHAINS / 73 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4.....45.....36..9..3......3.5.78.7.86........7436.5.....6.77.....85.8......43 | initial |
| .2.4.....45.....36..9..3......3.5.78.7.86........7436.5....86.77.....85.8......43 | autosolve |
| .2.4.6...45.....36..9..3......3.5.78.7.86........7436.5....86.77.....85.8......43 | pair_reduction |
| 123456789457189236689723514246395178375861492918274365531948627794632851862517943 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) C2: 7,8 A3: 1,6 C5: 3,5 B6: 1,8 C6: 5,8 E7: 3,4 E8: 3,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C1: 3.. / A1 = 3 => 9 pairs (_) / C1 = 3 => 13 pairs (_) A5,C5: 3.. / A5 = 3 => 13 pairs (_) / C5 = 3 => 9 pairs (_) B7,B8: 3.. / B7 = 3 => 6 pairs (_) / B8 = 3 => 5 pairs (_) E7,E8: 3.. / E7 = 3 => 5 pairs (_) / E8 = 3 => 6 pairs (_) B7,E7: 3.. / B7 = 3 => 6 pairs (_) / E7 = 3 => 5 pairs (_) B8,E8: 3.. / B8 = 3 => 5 pairs (_) / E8 = 3 => 6 pairs (_) A1,A5: 3.. / A1 = 3 => 9 pairs (_) / A5 = 3 => 13 pairs (_) C1,C5: 3.. / C1 = 3 => 13 pairs (_) / C5 = 3 => 9 pairs (_) G3,I3: 4.. / G3 = 4 => 8 pairs (_) / I3 = 4 => 8 pairs (_) B4,C4: 4.. / B4 = 4 => 8 pairs (_) / C4 = 4 => 12 pairs (_) G5,I5: 4.. / G5 = 4 => 8 pairs (_) / I5 = 4 => 8 pairs (_) E7,E8: 4.. / E7 = 4 => 6 pairs (_) / E8 = 4 => 5 pairs (_) G3,G5: 4.. / G3 = 4 => 8 pairs (_) / G5 = 4 => 8 pairs (_) I3,I5: 4.. / I3 = 4 => 8 pairs (_) / I5 = 4 => 8 pairs (_) C5,C6: 5.. / C5 = 5 => 13 pairs (_) / C6 = 5 => 9 pairs (_) D9,E9: 5.. / D9 = 5 => 7 pairs (_) / E9 = 5 => 7 pairs (_) C6,I6: 5.. / C6 = 5 => 9 pairs (_) / I6 = 5 => 13 pairs (_) D3,D9: 5.. / D3 = 5 => 7 pairs (_) / D9 = 5 => 7 pairs (_) F1,D3: 6.. / F1 = 6 => 8 pairs (_) / D3 = 6 => 0 pairs (X) A1,F1: 6.. / A1 = 6 => 0 pairs (X) / F1 = 6 => 8 pairs (_) C1,C2: 7.. / C1 = 7 => 7 pairs (_) / C2 = 7 => 10 pairs (_) D9,F9: 7.. / D9 = 7 => 7 pairs (_) / F9 = 7 => 7 pairs (_) D3,G3: 7.. / D3 = 7 => 8 pairs (_) / G3 = 7 => 12 pairs (_) H1,H3: 8.. / H1 = 8 => 9 pairs (_) / H3 = 8 => 10 pairs (_) B6,C6: 8.. / B6 = 8 => 9 pairs (_) / C6 = 8 => 13 pairs (_) C2,E2: 8.. / C2 = 8 => 7 pairs (_) / E2 = 8 => 10 pairs (_) B3,B6: 8.. / B3 = 8 => 13 pairs (_) / B6 = 8 => 9 pairs (_) * DURATION: 0:00:09.049961 START: 18:39:14.868785 END: 18:39:23.918746 2025-04-06 * CP COUNT: (27) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:15.076349 START: 18:39:32.933517 END: 18:39:48.009866 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00115828-base-pr-002.dot * REASONING * PRF # C1: 3 # D2: 1,2 => SOL * STA # C1: 3 + D2: 1,2 * CNT 1 HDP CHAINS / 73 HYP OPENED
Header Info
rating: 29562; r2: 587593; index: 115828
Solution
position: 123456789457189236689723514246395178375861492918274365531948627794632851862517943 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 # C1: 7,8 => UNS * INC # C1: 3 => UNS * INC # A1: 1,6 => UNS * INC # B3: 1,6 => UNS * DIS # D3: 1,6 => CTR => D3: 2,5,7 * INC # D3: 2,5,7 => UNS * INC # A4: 1,6 => UNS * INC # A4: 2,9 => UNS * INC # B3: 1,8 => UNS * INC # B3: 6 => UNS * INC # B7: 3,4 => UNS * INC # B7: 1,9 => UNS * INC # B8: 3,4 => UNS * INC # B8: 1,6,9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 7,8 => UNS * INC # C1: 3 => UNS * INC # A1: 1,6 => UNS * INC # B3: 1,6 => UNS * DIS # D3: 1,6 => CTR => D3: 2,5,7 * INC D3: 2,5,7 # A4: 1,6 => UNS * INC D3: 2,5,7 # A4: 2,9 => UNS * INC D3: 2,5,7 # B3: 1,6 => UNS * INC D3: 2,5,7 # B3: 8 => UNS * INC D3: 2,5,7 # A4: 1,6 => UNS * INC D3: 2,5,7 # A4: 2,9 => UNS * INC D3: 2,5,7 # B3: 1,8 => UNS * INC D3: 2,5,7 # B3: 6 => UNS * INC D3: 2,5,7 # B7: 3,4 => UNS * INC D3: 2,5,7 # B7: 1,9 => UNS * INC D3: 2,5,7 # B8: 3,4 => UNS * INC D3: 2,5,7 # B8: 1,6,9 => UNS * INC D3: 2,5,7 # A5: 1,3 => UNS * INC D3: 2,5,7 # A5: 2,9 => UNS * INC D3: 2,5,7 # C1: 7,8 => UNS * INC D3: 2,5,7 # C1: 3 => UNS * INC D3: 2,5,7 # B3: 1,6 => UNS * INC D3: 2,5,7 # B3: 8 => UNS * INC D3: 2,5,7 # A4: 1,6 => UNS * INC D3: 2,5,7 # A4: 2,9 => UNS * INC D3: 2,5,7 # B3: 1,8 => UNS * INC D3: 2,5,7 # B3: 6 => UNS * INC D3: 2,5,7 # B7: 3,4 => UNS * INC D3: 2,5,7 # B7: 1,9 => UNS * INC D3: 2,5,7 # B8: 3,4 => UNS * INC D3: 2,5,7 # B8: 1,6,9 => UNS * STA D3: 2,5,7 * CNT 31 HDP CHAINS / 31 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 1,3 => UNS * INC # A5: 2,9 => UNS * INC # C1: 7,8 => UNS * INC # C1: 3 => UNS * INC # B3: 1,6 => UNS * INC # B3: 8 => UNS * INC # A4: 1,6 => UNS * INC # A4: 2,9 => UNS * INC # B3: 1,8 => UNS * INC # B3: 6 => UNS * INC # B7: 3,4 => UNS * INC # B7: 1,9 => UNS * INC # B8: 3,4 => UNS * INC # B8: 1,6,9 => UNS * INC # A5: 1,3 # C1: 7,8 => UNS * INC # A5: 1,3 # C1: 3 => UNS * INC # A5: 1,3 # E3: 1,8 => UNS * INC # A5: 1,3 # H3: 1,8 => UNS * INC # A5: 1,3 # E4: 2,9 => UNS * INC # A5: 1,3 # G4: 2,9 => UNS * INC # A5: 1,3 # B8: 4,6 => UNS * INC # A5: 1,3 # B8: 3,9 => UNS * INC # A5: 1,3 # C8: 4,6 => UNS * INC # A5: 1,3 # C8: 1,2 => UNS * INC # A5: 1,3 # D6: 2,9 => UNS * INC # A5: 1,3 # I6: 2,9 => UNS * INC # A5: 1,3 # B8: 6,9 => UNS * INC # A5: 1,3 # B8: 3,4 => UNS * INC # A5: 1,3 # D9: 6,9 => UNS * INC # A5: 1,3 # D9: 1,2,5,7 => UNS * INC # A5: 1,3 # B7: 3,4 => UNS * INC # A5: 1,3 # B7: 9 => UNS * INC # A5: 1,3 # B8: 3,4 => UNS * INC # A5: 1,3 # B8: 6,9 => UNS * INC # A5: 1,3 => UNS * INC # A5: 2,9 # A4: 1,6 => UNS * INC # A5: 2,9 # A4: 2,9 => UNS * INC # A5: 2,9 # B4: 1,6 => UNS * INC # A5: 2,9 # B8: 1,6 => UNS * INC # A5: 2,9 # B9: 1,6 => UNS * INC # A5: 2,9 # E3: 2,8 => UNS * INC # A5: 2,9 # E3: 5 => UNS * INC # A5: 2,9 # A4: 2,9 => UNS * INC # A5: 2,9 # A6: 2,9 => UNS * INC # A5: 2,9 # F5: 2,9 => UNS * INC # A5: 2,9 # H5: 2,9 => UNS * INC # A5: 2,9 # G3: 4,5 => UNS * INC # A5: 2,9 # G3: 2,7 => UNS * INC # A5: 2,9 # I3: 4,5 => UNS * INC # A5: 2,9 # I3: 2 => UNS * INC # A5: 2,9 # B7: 3,4 => UNS * INC # A5: 2,9 # B7: 1,9 => UNS * INC # A5: 2,9 # B8: 3,4 => UNS * INC # A5: 2,9 # B8: 1,6,9 => UNS * INC # A5: 2,9 => UNS * INC # C1: 7,8 # A4: 1,6 => UNS * INC # C1: 7,8 # A4: 2,9 => UNS * INC # C1: 7,8 # B4: 1,6 => UNS * INC # C1: 7,8 # B8: 1,6 => UNS * INC # C1: 7,8 # B9: 1,6 => UNS * INC # C1: 7,8 # E3: 2,8 => UNS * INC # C1: 7,8 # E3: 5 => UNS * INC # C1: 7,8 # G3: 4,5 => UNS * INC # C1: 7,8 # G3: 2,7 => UNS * INC # C1: 7,8 # I3: 4,5 => UNS * INC # C1: 7,8 # I3: 2 => UNS * INC # C1: 7,8 # B7: 3,4 => UNS * INC # C1: 7,8 # B7: 1,9 => UNS * INC # C1: 7,8 # B8: 3,4 => UNS * INC # C1: 7,8 # B8: 1,6,9 => UNS * INC # C1: 7,8 => UNS * PRF # C1: 3 # D2: 1,2 => SOL * STA # C1: 3 + D2: 1,2 * CNT 72 HDP CHAINS / 73 HYP OPENED