Analysis of xx-mith-te3-00033842-base.sdk
Contents
Original Sudoku
level: hard
position: ..34.6..94.7.89..669.7........87..943.9...1.7......52...6.489..8........9.43.7... initial
Autosolve
position: ..34.6..94.7.89..669.7........87..943.9...1.7......52...6.489..8........9.43.7... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B6: 1,7 => CTR => B6: 4,6,8 * DIS # B6: 1,8 => CTR => B6: 4,6,7 * CNT 2 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B6: 1,7 => CTR => B6: 4,6,8 * DIS B6: 4,6,8 # H7: 1,5 => CTR => H7: 3,7 * STA B6: 4,6,8 + H7: 3,7 * CNT 2 HDP CHAINS / 39 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ..34.6..94.7.89..669.7........87..943.9...1.77.....52...6.489..8........9.43.7... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:09.924556
The following important HDP chains were detected:
* PRF # C3: 1,8 # B1: 2,5 => SOL * STA # C3: 1,8 + B1: 2,5 * CNT 1 HDP CHAINS / 45 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..34.6..94.7.89..669.7........87..943.9...1.7......52...6.489..8........9.43.7... | initial |
| ..34.6..94.7.89..669.7........87..943.9...1.7......52...6.489..8........9.43.7... | autosolve |
| ..34.6..94.7.89..669.7........87..943.9...1.77.....52...6.489..8........9.43.7... | pair_reduction |
| 123456789457189236698732415265871394389524167741693528536248971872915643914367852 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) G2: 2,3 A6: 1,7 C6: 1,8 G4: 3,6 H5: 6,8 I6: 3,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E3,F3: 3.. / E3 = 3 => 6 pairs (_) / F3 = 3 => 0 pairs (X) G2,H2: 3.. / G2 = 3 => 13 pairs (_) / H2 = 3 => 10 pairs (_) G4,I6: 3.. / G4 = 3 => 21 pairs (_) / I6 = 3 => 12 pairs (_) B7,B8: 3.. / B7 = 3 => 6 pairs (_) / B8 = 3 => 10 pairs (_) F4,G4: 3.. / F4 = 3 => 12 pairs (_) / G4 = 3 => 21 pairs (_) E3,E6: 3.. / E3 = 3 => 6 pairs (_) / E6 = 3 => 0 pairs (X) G3,H3: 4.. / G3 = 4 => 6 pairs (_) / H3 = 4 => 7 pairs (_) B5,B6: 4.. / B5 = 4 => 12 pairs (_) / B6 = 4 => 17 pairs (_) F5,F6: 4.. / F5 = 4 => 17 pairs (_) / F6 = 4 => 12 pairs (_) G8,H8: 4.. / G8 = 4 => 7 pairs (_) / H8 = 4 => 6 pairs (_) B5,F5: 4.. / B5 = 4 => 12 pairs (_) / F5 = 4 => 17 pairs (_) B6,F6: 4.. / B6 = 4 => 17 pairs (_) / F6 = 4 => 12 pairs (_) G3,G8: 4.. / G3 = 4 => 6 pairs (_) / G8 = 4 => 7 pairs (_) H3,H8: 4.. / H3 = 4 => 7 pairs (_) / H8 = 4 => 6 pairs (_) G4,H5: 6.. / G4 = 6 => 12 pairs (_) / H5 = 6 => 21 pairs (_) B4,G4: 6.. / B4 = 6 => 21 pairs (_) / G4 = 6 => 12 pairs (_) G1,H1: 7.. / G1 = 7 => 6 pairs (_) / H1 = 7 => 9 pairs (_) A6,B6: 7.. / A6 = 7 => 7 pairs (_) / B6 = 7 => 0 pairs (X) A6,A7: 7.. / A6 = 7 => 7 pairs (_) / A7 = 7 => 0 pairs (X) G1,G8: 7.. / G1 = 7 => 6 pairs (_) / G8 = 7 => 9 pairs (_) B1,C3: 8.. / B1 = 8 => 12 pairs (_) / C3 = 8 => 21 pairs (_) H5,I6: 8.. / H5 = 8 => 12 pairs (_) / I6 = 8 => 21 pairs (_) B5,H5: 8.. / B5 = 8 => 21 pairs (_) / H5 = 8 => 12 pairs (_) C3,C6: 8.. / C3 = 8 => 21 pairs (_) / C6 = 8 => 12 pairs (_) D6,E6: 9.. / D6 = 9 => 6 pairs (_) / E6 = 9 => 8 pairs (_) D8,E8: 9.. / D8 = 9 => 8 pairs (_) / E8 = 9 => 6 pairs (_) D6,D8: 9.. / D6 = 9 => 6 pairs (_) / D8 = 9 => 8 pairs (_) E6,E8: 9.. / E6 = 9 => 8 pairs (_) / E8 = 9 => 6 pairs (_) * DURATION: 0:00:07.427708 START: 07:03:28.526429 END: 07:03:35.954137 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:09.776224 START: 07:03:45.421756 END: 07:03:55.197980 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00033842-base-pr-002.dot * REASONING * PRF # C3: 1,8 # B1: 2,5 => SOL * STA # C3: 1,8 + B1: 2,5 * CNT 1 HDP CHAINS / 45 HYP OPENED
Header Info
rating: 6837; r2: 133048; index: 33842
Solution
position: 123456789457189236698732415265871394389524167741693528536248971872915643914367852 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 # G8: 2,3 => UNS * INC # G8: 4,6,7 => UNS * DIS # B6: 1,7 => CTR => B6: 4,6,8 * INC # B6: 4,6,8 => UNS * INC # A7: 1,7 => UNS * INC # A7: 2,5 => UNS * DIS # B6: 1,8 => CTR => B6: 4,6,7 * INC # B6: 4,6,7 => UNS * INC # C3: 1,8 => UNS * INC # C3: 2,5 => UNS * INC # G8: 3,6 => UNS * INC # G8: 2,4,7 => UNS * INC # B5: 6,8 => UNS * INC # B5: 2,4,5 => UNS * INC # H9: 6,8 => UNS * INC # H9: 1,5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G8: 2,3 => UNS * INC # G8: 4,6,7 => UNS * DIS # B6: 1,7 => CTR => B6: 4,6,8 * INC B6: 4,6,8 # C3: 1,8 => UNS * INC B6: 4,6,8 # C3: 2,5 => UNS * INC B6: 4,6,8 # G8: 3,6 => UNS * INC B6: 4,6,8 # G8: 2,4,7 => UNS * INC B6: 4,6,8 # B5: 6,8 => UNS * INC B6: 4,6,8 # B5: 2,4,5 => UNS * INC B6: 4,6,8 # H9: 6,8 => UNS * INC B6: 4,6,8 # H9: 1,5 => UNS * INC B6: 4,6,8 # G8: 2,3 => UNS * INC B6: 4,6,8 # G8: 4,6,7 => UNS * INC B6: 4,6,8 # C3: 1,8 => UNS * INC B6: 4,6,8 # C3: 2,5 => UNS * INC B6: 4,6,8 # G8: 3,6 => UNS * INC B6: 4,6,8 # G8: 2,4,7 => UNS * INC B6: 4,6,8 # B5: 6,8 => UNS * INC B6: 4,6,8 # B5: 2,4,5 => UNS * INC B6: 4,6,8 # H9: 6,8 => UNS * INC B6: 4,6,8 # H9: 1,5 => UNS * INC B6: 4,6,8 # H7: 3,7 => UNS * DIS B6: 4,6,8 # H7: 1,5 => CTR => H7: 3,7 * INC B6: 4,6,8 + H7: 3,7 # G8: 3,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # H8: 3,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # G8: 2,3 => UNS * INC B6: 4,6,8 + H7: 3,7 # G8: 4,6,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # C3: 1,8 => UNS * INC B6: 4,6,8 + H7: 3,7 # C3: 2,5 => UNS * INC B6: 4,6,8 + H7: 3,7 # G8: 3,6 => UNS * INC B6: 4,6,8 + H7: 3,7 # G8: 2,4,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # B5: 6,8 => UNS * INC B6: 4,6,8 + H7: 3,7 # B5: 2,4,5 => UNS * INC B6: 4,6,8 + H7: 3,7 # H9: 6,8 => UNS * INC B6: 4,6,8 + H7: 3,7 # H9: 1,5 => UNS * INC B6: 4,6,8 + H7: 3,7 # G8: 3,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # H8: 3,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # G8: 3,7 => UNS * INC B6: 4,6,8 + H7: 3,7 # H8: 3,7 => UNS * STA B6: 4,6,8 + H7: 3,7 * CNT 39 HDP CHAINS / 39 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G8: 2,3 => UNS * INC # G8: 4,6,7 => UNS * INC # C3: 1,8 => UNS * INC # C3: 2,5 => UNS * INC # G8: 3,6 => UNS * INC # G8: 2,4,7 => UNS * INC # B5: 6,8 => UNS * INC # B5: 2,4,5 => UNS * INC # H9: 6,8 => UNS * INC # H9: 1,5 => UNS * INC # G8: 3,7 => UNS * INC # H8: 3,7 => UNS * INC # G8: 3,7 => UNS * INC # H8: 3,7 => UNS * INC # G8: 2,3 # A1: 1,5 => UNS * INC # G8: 2,3 # C3: 1,5 => UNS * INC # G8: 2,3 # B4: 1,5 => UNS * INC # G8: 2,3 # B9: 1,5 => UNS * INC # G8: 2,3 # E1: 1,5 => UNS * INC # G8: 2,3 # F3: 1,5 => UNS * INC # G8: 2,3 # D7: 1,5 => UNS * INC # G8: 2,3 # D7: 2 => UNS * INC # G8: 2,3 # A1: 1,5 => UNS * INC # G8: 2,3 # E1: 1,5 => UNS * INC # G8: 2,3 # C3: 1,5 => UNS * INC # G8: 2,3 # F3: 1,5 => UNS * INC # G8: 2,3 # D6: 6,9 => UNS * INC # G8: 2,3 # D6: 1 => UNS * INC # G8: 2,3 # E6: 6,9 => UNS * INC # G8: 2,3 # E6: 1 => UNS * INC # G8: 2,3 => UNS * INC # G8: 4,6,7 # C3: 1,8 => UNS * INC # G8: 4,6,7 # C3: 2,5 => UNS * INC # G8: 4,6,7 # B5: 6,8 => UNS * INC # G8: 4,6,7 # B5: 2,4,5 => UNS * INC # G8: 4,6,7 # H9: 6,8 => UNS * INC # G8: 4,6,7 # H9: 1,5 => UNS * INC # G8: 4,6,7 # H8: 3,7 => UNS * INC # G8: 4,6,7 # H8: 1,4,5,6 => UNS * INC # G8: 4,6,7 # H8: 3,7 => UNS * INC # G8: 4,6,7 # H8: 1,4,5,6 => UNS * INC # G8: 4,6,7 => UNS * INC # C3: 1,8 # B1: 1,8 => UNS * PRF # C3: 1,8 # B1: 2,5 => SOL * STA # C3: 1,8 + B1: 2,5 * CNT 44 HDP CHAINS / 45 HYP OPENED