Analysis of xx-mith-te3-00112858-base.sdk
Contents
Original Sudoku
level: hard
position: .23.56...4......366.9.73........16.4..........1...537.3...1456.5..63.1.7...5.7.43 initial
Autosolve
position: .23.56...4......36689.73........16.4..........1...537.3...1456.5..63.1.7...5.7.43 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C2: 5 => CTR => C2: 1,7 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # C2: 5 => CTR => C2: 1,7 * DIS C2: 1,7 # B4: 9 => CTR => B4: 3,7 * STA C2: 1,7 + B4: 3,7 * CNT 2 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .23.56...45.....36689.73........16.4..........1...537.3...1456.5..63.1.7...5.7.43 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:04.523479
The following important HDP chains were detected:
* PRF # D3: 2,4 # H5: 8,9 => SOL * STA # D3: 2,4 + H5: 8,9 * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23.56...4......366.9.73........16.4..........1...537.3...1456.5..63.1.7...5.7.43 | initial |
| .23.56...4......36689.73........16.4..........1...537.3...1456.5..63.1.7...5.7.43 | autosolve |
| .23.56...45.....36689.73........16.4..........1...537.3...1456.5..63.1.7...5.7.43 | pair_reduction |
| 123456789457189236689273415238791654745362891916845372372914568594638127861527943 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) A1: 1,7 B2: 5,7 G3: 2,4 C6: 4,6 D4: 3,7 D5: 3,7 E5: 4,6 E6: 4,6 B7: 7,9 B8: 4,9 B9: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C2: 1.. / A1 = 1 => 20 pairs (_) / C2 = 1 => 14 pairs (_) H5,I5: 1.. / H5 = 1 => 13 pairs (_) / I5 = 1 => 13 pairs (_) A9,C9: 1.. / A9 = 1 => 14 pairs (_) / C9 = 1 => 20 pairs (_) C2,D2: 1.. / C2 = 1 => 14 pairs (_) / D2 = 1 => 20 pairs (_) A1,A9: 1.. / A1 = 1 => 20 pairs (_) / A9 = 1 => 14 pairs (_) C2,C9: 1.. / C2 = 1 => 14 pairs (_) / C9 = 1 => 20 pairs (_) B4,B5: 3.. / B4 = 3 => 9 pairs (_) / B5 = 3 => 11 pairs (_) D4,D5: 3.. / D4 = 3 => 11 pairs (_) / D5 = 3 => 9 pairs (_) B4,D4: 3.. / B4 = 3 => 9 pairs (_) / D4 = 3 => 11 pairs (_) B5,D5: 3.. / B5 = 3 => 11 pairs (_) / D5 = 3 => 9 pairs (_) D1,D3: 4.. / D1 = 4 => 12 pairs (_) / D3 = 4 => 17 pairs (_) G1,G3: 4.. / G1 = 4 => 17 pairs (_) / G3 = 4 => 12 pairs (_) E5,E6: 4.. / E5 = 4 => 8 pairs (_) / E6 = 4 => 7 pairs (_) B8,C8: 4.. / B8 = 4 => 11 pairs (_) / C8 = 4 => 6 pairs (_) D1,G1: 4.. / D1 = 4 => 12 pairs (_) / G1 = 4 => 17 pairs (_) D3,G3: 4.. / D3 = 4 => 17 pairs (_) / G3 = 4 => 12 pairs (_) C6,E6: 4.. / C6 = 4 => 8 pairs (_) / E6 = 4 => 7 pairs (_) B5,B8: 4.. / B5 = 4 => 6 pairs (_) / B8 = 4 => 11 pairs (_) B2,C2: 5.. / B2 = 5 => 11 pairs (_) / C2 = 5 => 0 pairs (X) H3,I3: 5.. / H3 = 5 => 13 pairs (_) / I3 = 5 => 12 pairs (_) I3,I5: 5.. / I3 = 5 => 12 pairs (_) / I5 = 5 => 13 pairs (_) E5,E6: 6.. / E5 = 6 => 7 pairs (_) / E6 = 6 => 8 pairs (_) B9,C9: 6.. / B9 = 6 => 10 pairs (_) / C9 = 6 => 9 pairs (_) C6,E6: 6.. / C6 = 6 => 7 pairs (_) / E6 = 6 => 8 pairs (_) B5,B9: 6.. / B5 = 6 => 9 pairs (_) / B9 = 6 => 10 pairs (_) G1,G2: 7.. / G1 = 7 => 20 pairs (_) / G2 = 7 => 14 pairs (_) D4,D5: 7.. / D4 = 7 => 9 pairs (_) / D5 = 7 => 11 pairs (_) B7,C7: 7.. / B7 = 7 => 12 pairs (_) / C7 = 7 => 13 pairs (_) A1,G1: 7.. / A1 = 7 => 14 pairs (_) / G1 = 7 => 20 pairs (_) * DURATION: 0:00:08.589456 START: 03:51:46.905075 END: 03:51:55.494531 2025-04-05 * CP COUNT: (29) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.406103 START: 03:52:05.749090 END: 03:52:10.155193 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00112858-base-pr-002.dot * REASONING * PRF # D3: 2,4 # H5: 8,9 => SOL * STA # D3: 2,4 + H5: 8,9 * CNT 1 HDP CHAINS / 19 HYP OPENED
Header Info
rating: 28782; r2: 566033; index: 112858
Solution
position: 123456789457189236689273415238791654745362891916845372372914568594638127861527943 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 # C2: 1,7 => UNS * DIS # C2: 5 => CTR => C2: 1,7 * INC # C2: 5,7 => UNS * INC # C2: 1 => UNS * INC # B4: 5,7 => UNS * INC # B5: 5,7 => UNS * INC # D3: 2,4 => UNS * INC # D3: 1 => UNS * INC # B5: 4,6 => UNS * INC # C5: 4,6 => UNS * INC # B4: 3,7 => UNS * INC # B4: 5,9 => UNS * INC # B5: 3,7 => UNS * INC # B5: 4,5,6,9 => UNS * INC # B5: 4,6 => UNS * INC # C5: 4,6 => UNS * INC # B4: 7,9 => UNS * INC # B5: 7,9 => UNS * INC # B5: 4,9 => UNS * INC # B5: 3,5,6,7 => UNS * INC # B5: 6,9 => UNS * INC # B5: 3,4,5,7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C2: 1,7 => UNS * DIS # C2: 5 => CTR => C2: 1,7 * INC C2: 1,7 # D3: 2,4 => UNS * INC C2: 1,7 # D3: 1 => UNS * INC C2: 1,7 # B5: 4,6 => UNS * INC C2: 1,7 # C5: 4,6 => UNS * INC C2: 1,7 # B4: 3,7 => UNS * DIS C2: 1,7 # B4: 9 => CTR => B4: 3,7 * INC C2: 1,7 + B4: 3,7 # B5: 3,7 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,6,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,6 => UNS * INC C2: 1,7 + B4: 3,7 # C5: 4,6 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 7,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,4,6 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,6,7 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 6,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,4,7 => UNS * INC C2: 1,7 + B4: 3,7 # D3: 2,4 => UNS * INC C2: 1,7 + B4: 3,7 # D3: 1 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,7 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,6,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,6 => UNS * INC C2: 1,7 + B4: 3,7 # C5: 4,6 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,7 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,6,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,6 => UNS * INC C2: 1,7 + B4: 3,7 # C5: 4,6 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 7,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,4,6 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 4,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,6,7 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 6,9 => UNS * INC C2: 1,7 + B4: 3,7 # B5: 3,4,7 => UNS * STA C2: 1,7 + B4: 3,7 * CNT 34 HDP CHAINS / 34 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 2,4 => UNS * INC # D3: 1 => UNS * INC # B5: 3,7 => UNS * INC # B5: 4,6,9 => UNS * INC # B5: 4,6 => UNS * INC # C5: 4,6 => UNS * INC # B5: 3,7 => UNS * INC # B5: 4,6,9 => UNS * INC # B5: 4,6 => UNS * INC # C5: 4,6 => UNS * INC # B5: 7,9 => UNS * INC # B5: 3,4,6 => UNS * INC # B5: 4,9 => UNS * INC # B5: 3,6,7 => UNS * INC # B5: 6,9 => UNS * INC # B5: 3,4,7 => UNS * INC # D3: 2,4 # H4: 8,9 => UNS * PRF # D3: 2,4 # H5: 8,9 => SOL * STA # D3: 2,4 + H5: 8,9 * CNT 18 HDP CHAINS / 19 HYP OPENED