Analysis of xx-mith-te3-00032478-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4.67......892.6...27...424.69....3.5.....8..1...4....296.84.8.6...9.7...8.7..2 initial
Autosolve
position: .2.4.67......892.6...27...424.69....3.5.....8..1...4....296.84.8.6...9.7...8.7..2 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H5: 1,6 => CTR => H5: 2,7,9 * CNT 1 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # H5: 1,6 => CTR => H5: 2,7,9 * STA H5: 2,7,9 * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .2.4.67......892.6...27...424.69....3.5.....8..1...4....296.84.8.6...9.7...8.7..2 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:10.060749
The following important HDP chains were detected:
* DIS # B6: 7,8 # B3: 1,3,5,8 => CTR => B3: 6,9 * DIS # B6: 6,9 # I1: 1,5 => CTR => I1: 3,9 * DIS # B6: 6,9 + I1: 3,9 # B7: 1,5 => CTR => B7: 3,7 * PRF # B6: 6,9 + I1: 3,9 + B7: 3,7 # D2: 1,5 => SOL * STA # B6: 6,9 + I1: 3,9 + B7: 3,7 + D2: 1,5 * CNT 4 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4.67......892.6...27...424.69....3.5.....8..1...4....296.84.8.6...9.7...8.7..2 | initial |
| .2.4.67......892.6...27...424.69....3.5.....8..1...4....296.84.8.6...9.7...8.7..2 | autosolve |
| .2.4.67......892.6...27...424.69....3.5.....8..1...4....296.84.8.6...9.7...8.7..2 | pair_reduction |
| 123456789457189236689273154248695371395714628761328495572961843836542917914837562 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) C4: 7,8 D5: 1,7 G5: 1,6 E8: 2,4 F8: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H5,H6: 2.. / H5 = 2 => 11 pairs (_) / H6 = 2 => 11 pairs (_) E8,F8: 2.. / E8 = 2 => 5 pairs (_) / F8 = 2 => 4 pairs (_) A2,C2: 4.. / A2 = 4 => 7 pairs (_) / C2 = 4 => 9 pairs (_) E5,F5: 4.. / E5 = 4 => 5 pairs (_) / F5 = 4 => 4 pairs (_) A9,C9: 4.. / A9 = 4 => 9 pairs (_) / C9 = 4 => 7 pairs (_) E8,F8: 4.. / E8 = 4 => 4 pairs (_) / F8 = 4 => 5 pairs (_) A2,A9: 4.. / A2 = 4 => 7 pairs (_) / A9 = 4 => 9 pairs (_) C2,C9: 4.. / C2 = 4 => 9 pairs (_) / C9 = 4 => 7 pairs (_) E5,E8: 4.. / E5 = 4 => 5 pairs (_) / E8 = 4 => 4 pairs (_) F5,F8: 4.. / F5 = 4 => 4 pairs (_) / F8 = 4 => 5 pairs (_) A3,B3: 6.. / A3 = 6 => 6 pairs (_) / B3 = 6 => 10 pairs (_) G9,H9: 6.. / G9 = 6 => 0 pairs (X) / H9 = 6 => 7 pairs (_) A3,A6: 6.. / A3 = 6 => 6 pairs (_) / A6 = 6 => 10 pairs (_) G5,G9: 6.. / G5 = 6 => 7 pairs (_) / G9 = 6 => 0 pairs (X) D5,D6: 7.. / D5 = 7 => 6 pairs (_) / D6 = 7 => 13 pairs (_) A7,B7: 7.. / A7 = 7 => 6 pairs (_) / B7 = 7 => 9 pairs (_) C4,H4: 7.. / C4 = 7 => 10 pairs (_) / H4 = 7 => 10 pairs (_) C2,C4: 7.. / C2 = 7 => 10 pairs (_) / C4 = 7 => 10 pairs (_) H1,H3: 8.. / H1 = 8 => 6 pairs (_) / H3 = 8 => 10 pairs (_) C4,B6: 8.. / C4 = 8 => 10 pairs (_) / B6 = 8 => 10 pairs (_) F4,F6: 8.. / F4 = 8 => 10 pairs (_) / F6 = 8 => 10 pairs (_) C1,H1: 8.. / C1 = 8 => 10 pairs (_) / H1 = 8 => 6 pairs (_) C4,F4: 8.. / C4 = 8 => 10 pairs (_) / F4 = 8 => 10 pairs (_) B6,F6: 8.. / B6 = 8 => 10 pairs (_) / F6 = 8 => 10 pairs (_) B3,B6: 8.. / B3 = 8 => 10 pairs (_) / B6 = 8 => 10 pairs (_) B5,H5: 9.. / B5 = 9 => 10 pairs (_) / H5 = 9 => 13 pairs (_) I1,I6: 9.. / I1 = 9 => 13 pairs (_) / I6 = 9 => 12 pairs (_) * DURATION: 0:00:07.709818 START: 06:58:14.298378 END: 06:58:22.008196 2025-04-06 * CP COUNT: (27) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:09.922406 START: 06:58:27.648555 END: 06:58:37.570961 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00032478-base-pr-002.dot * REASONING * DIS # B6: 7,8 # B3: 1,3,5,8 => CTR => B3: 6,9 * DIS # B6: 6,9 # I1: 1,5 => CTR => I1: 3,9 * DIS # B6: 6,9 + I1: 3,9 # B7: 1,5 => CTR => B7: 3,7 * PRF # B6: 6,9 + I1: 3,9 + B7: 3,7 # D2: 1,5 => SOL * STA # B6: 6,9 + I1: 3,9 + B7: 3,7 + D2: 1,5 * CNT 4 HDP CHAINS / 36 HYP OPENED
Header Info
rating: 6538; r2: 122672; index: 32478
Solution
position: 123456789457189236689273154248695371395714628761328495572961843836542917914837562 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 # B6: 7,8 => UNS * INC # B6: 6,9 => UNS * INC # H5: 1,7 => UNS * INC # H5: 2,6,9 => UNS * DIS # H5: 1,6 => CTR => H5: 2,7,9 * INC # H5: 2,7,9 => UNS * INC # G9: 1,6 => UNS * INC # G9: 3,5 => UNS * INC # E5: 2,4 => UNS * INC # E5: 1 => UNS * INC # F5: 2,4 => UNS * INC # F5: 1 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B6: 7,8 => UNS * INC # B6: 6,9 => UNS * INC # H5: 1,7 => UNS * INC # H5: 2,6,9 => UNS * DIS # H5: 1,6 => CTR => H5: 2,7,9 * INC H5: 2,7,9 # G9: 1,6 => UNS * INC H5: 2,7,9 # G9: 3,5 => UNS * INC H5: 2,7,9 # E5: 2,4 => UNS * INC H5: 2,7,9 # E5: 1 => UNS * INC H5: 2,7,9 # F5: 2,4 => UNS * INC H5: 2,7,9 # F5: 1 => UNS * INC H5: 2,7,9 # B6: 7,8 => UNS * INC H5: 2,7,9 # B6: 6,9 => UNS * INC H5: 2,7,9 # G9: 1,6 => UNS * INC H5: 2,7,9 # G9: 3,5 => UNS * INC H5: 2,7,9 # E5: 2,4 => UNS * INC H5: 2,7,9 # E5: 1 => UNS * INC H5: 2,7,9 # F5: 2,4 => UNS * INC H5: 2,7,9 # F5: 1 => UNS * STA H5: 2,7,9 * CNT 19 HDP CHAINS / 19 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B6: 7,8 => UNS * INC # B6: 6,9 => UNS * INC # G9: 1,6 => UNS * INC # G9: 3,5 => UNS * INC # E5: 2,4 => UNS * INC # E5: 1 => UNS * INC # F5: 2,4 => UNS * INC # F5: 1 => UNS * INC # B6: 7,8 # B3: 6,9 => UNS * DIS # B6: 7,8 # B3: 1,3,5,8 => CTR => B3: 6,9 * INC # B6: 7,8 + B3: 6,9 # E5: 2,4 => UNS * INC # B6: 7,8 + B3: 6,9 # E5: 1 => UNS * INC # B6: 7,8 + B3: 6,9 # F5: 2,4 => UNS * INC # B6: 7,8 + B3: 6,9 # F5: 1 => UNS * INC # B6: 7,8 + B3: 6,9 # C1: 8,9 => UNS * INC # B6: 7,8 + B3: 6,9 # C1: 3 => UNS * INC # B6: 7,8 + B3: 6,9 # C3: 8,9 => UNS * INC # B6: 7,8 + B3: 6,9 # C3: 3 => UNS * INC # B6: 7,8 + B3: 6,9 # E5: 2,4 => UNS * INC # B6: 7,8 + B3: 6,9 # E5: 1 => UNS * INC # B6: 7,8 + B3: 6,9 # F5: 2,4 => UNS * INC # B6: 7,8 + B3: 6,9 # F5: 1 => UNS * INC # B6: 7,8 + B3: 6,9 => UNS * INC # B6: 6,9 # E1: 1,5 => UNS * DIS # B6: 6,9 # I1: 1,5 => CTR => I1: 3,9 * INC # B6: 6,9 + I1: 3,9 # A7: 1,5 => UNS * INC # B6: 6,9 + I1: 3,9 # A9: 1,5 => UNS * INC # B6: 6,9 + I1: 3,9 # A7: 1,5 => UNS * INC # B6: 6,9 + I1: 3,9 # A9: 1,5 => UNS * INC # B6: 6,9 + I1: 3,9 # D2: 1,5 => UNS * INC # B6: 6,9 + I1: 3,9 # H2: 1,5 => UNS * DIS # B6: 6,9 + I1: 3,9 # B7: 1,5 => CTR => B7: 3,7 * INC # B6: 6,9 + I1: 3,9 + B7: 3,7 # B8: 1,5 => UNS * INC # B6: 6,9 + I1: 3,9 + B7: 3,7 # B9: 1,5 => UNS * PRF # B6: 6,9 + I1: 3,9 + B7: 3,7 # D2: 1,5 => SOL * STA # B6: 6,9 + I1: 3,9 + B7: 3,7 + D2: 1,5 * CNT 35 HDP CHAINS / 36 HYP OPENED