Analysis of xx-mith-te3-00011018-base.sdk
Contents
Original Sudoku
level: hard
position: ..34.67.94.7....36..937.5..24.....73..6.43.....8....5....5.7......96.....9..34... initial
Autosolve
position: ..34.67.94.7....36..937.5..241....73..6.43.....8....5....5.7......96.....9..34... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H7: 2,4 => CTR => H7: 1,6,8,9 * CNT 1 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 # H7: 2,4 => CTR => H7: 1,6,8,9 * STA H7: 1,6,8,9 * CNT 1 HDP CHAINS / 33 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ..34.67.94.7....36..937.5..241....73..6.43.....8....5....5.7......96.....9..34... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:09.455145
The following important HDP chains were detected:
* DIS # A5: 5,7 # E1: 1,2 => CTR => E1: 5,8 * PRF # A5: 5,7 + E1: 5,8 => SOL * STA A5: 5,7 * CNT 2 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..34.67.94.7....36..937.5..24.....73..6.43.....8....5....5.7......96.....9..34... | initial |
| ..34.67.94.7....36..937.5..241....73..6.43.....8....5....5.7......96.....9..34... | autosolve |
| ..34.67.94.7....36..937.5..241....73..6.43.....8....5....5.7......96.....9..34... | pair_reduction |
| 123456789457189236689372541241695873576843912938721654362517498714968325895234167 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) B5: 5,7 B6: 3,7 D4: 6,8 C7: 2,4 C9: 2,5 I8: 5,7 I9: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A6,B6: 3.. / A6 = 3 => 11 pairs (_) / B6 = 3 => 7 pairs (_) G7,G8: 3.. / G7 = 3 => 7 pairs (_) / G8 = 3 => 7 pairs (_) H3,I3: 4.. / H3 = 4 => 7 pairs (_) / I3 = 4 => 0 pairs (X) G6,I6: 4.. / G6 = 4 => 0 pairs (X) / I6 = 4 => 9 pairs (_) C7,C8: 4.. / C7 = 4 => 7 pairs (_) / C8 = 4 => 4 pairs (_) A5,B5: 5.. / A5 = 5 => 17 pairs (_) / B5 = 5 => 9 pairs (_) E4,F4: 5.. / E4 = 5 => 9 pairs (_) / F4 = 5 => 8 pairs (_) C8,C9: 5.. / C8 = 5 => 7 pairs (_) / C9 = 5 => 5 pairs (_) I8,I9: 5.. / I8 = 5 => 5 pairs (_) / I9 = 5 => 7 pairs (_) C8,I8: 5.. / C8 = 5 => 7 pairs (_) / I8 = 5 => 5 pairs (_) C9,I9: 5.. / C9 = 5 => 5 pairs (_) / I9 = 5 => 7 pairs (_) A1,A5: 5.. / A1 = 5 => 9 pairs (_) / A5 = 5 => 17 pairs (_) F2,F4: 5.. / F2 = 5 => 9 pairs (_) / F4 = 5 => 8 pairs (_) A3,B3: 6.. / A3 = 6 => 7 pairs (_) / B3 = 6 => 8 pairs (_) D4,D6: 6.. / D4 = 6 => 10 pairs (_) / D6 = 6 => 16 pairs (_) G4,G6: 6.. / G4 = 6 => 16 pairs (_) / G6 = 6 => 10 pairs (_) H7,H9: 6.. / H7 = 6 => 0 pairs (X) / H9 = 6 => 7 pairs (_) D4,G4: 6.. / D4 = 6 => 10 pairs (_) / G4 = 6 => 16 pairs (_) D6,G6: 6.. / D6 = 6 => 16 pairs (_) / G6 = 6 => 10 pairs (_) A9,H9: 6.. / A9 = 6 => 0 pairs (X) / H9 = 6 => 7 pairs (_) B3,B7: 6.. / B3 = 6 => 8 pairs (_) / B7 = 6 => 7 pairs (_) D5,D6: 7.. / D5 = 7 => 13 pairs (_) / D6 = 7 => 22 pairs (_) I8,I9: 7.. / I8 = 7 => 7 pairs (_) / I9 = 7 => 5 pairs (_) A9,I9: 7.. / A9 = 7 => 7 pairs (_) / I9 = 7 => 5 pairs (_) E2,F2: 9.. / E2 = 9 => 9 pairs (_) / F2 = 9 => 9 pairs (_) A5,A6: 9.. / A5 = 9 => 13 pairs (_) / A6 = 9 => 22 pairs (_) G7,H7: 9.. / G7 = 9 => 0 pairs (X) / H7 = 9 => 7 pairs (_) H5,H7: 9.. / H5 = 9 => 0 pairs (X) / H7 = 9 => 7 pairs (_) * DURATION: 0:00:07.600216 START: 04:15:39.487706 END: 04:15:47.087922 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:09.314040 START: 04:15:55.285201 END: 04:16:04.599241 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00011018-base-pr-002.dot * REASONING * DIS # A5: 5,7 # E1: 1,2 => CTR => E1: 5,8 * PRF # A5: 5,7 + E1: 5,8 => SOL * STA A5: 5,7 * CNT 2 HDP CHAINS / 28 HYP OPENED
Header Info
rating: 2585; r2: 50506; index: 11018
Solution
position: 123456789457189236689372541241695873576843912938721654362517498714968325895234167 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 # A5: 5,7 => UNS * INC # A5: 9 => UNS * INC # A6: 3,7 => UNS * INC # A6: 9 => UNS * INC # B8: 3,7 => UNS * INC # B8: 1,8 => UNS * INC # G4: 6,8 => UNS * INC # G4: 9 => UNS * INC # C8: 2,4 => UNS * INC # C8: 5 => UNS * INC # G7: 2,4 => UNS * DIS # H7: 2,4 => CTR => H7: 1,6,8,9 * INC # H7: 1,6,8,9 => UNS * INC # I7: 2,4 => UNS * INC # C8: 2,5 => UNS * INC # C8: 4 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 5,7 => UNS * INC # A5: 9 => UNS * INC # A6: 3,7 => UNS * INC # A6: 9 => UNS * INC # B8: 3,7 => UNS * INC # B8: 1,8 => UNS * INC # G4: 6,8 => UNS * INC # G4: 9 => UNS * INC # C8: 2,4 => UNS * INC # C8: 5 => UNS * INC # G7: 2,4 => UNS * DIS # H7: 2,4 => CTR => H7: 1,6,8,9 * INC H7: 1,6,8,9 # I7: 2,4 => UNS * INC H7: 1,6,8,9 # C8: 2,4 => UNS * INC H7: 1,6,8,9 # C8: 5 => UNS * INC H7: 1,6,8,9 # G7: 2,4 => UNS * INC H7: 1,6,8,9 # I7: 2,4 => UNS * INC H7: 1,6,8,9 # C8: 2,5 => UNS * INC H7: 1,6,8,9 # C8: 4 => UNS * INC H7: 1,6,8,9 # A5: 5,7 => UNS * INC H7: 1,6,8,9 # A5: 9 => UNS * INC H7: 1,6,8,9 # A6: 3,7 => UNS * INC H7: 1,6,8,9 # A6: 9 => UNS * INC H7: 1,6,8,9 # B8: 3,7 => UNS * INC H7: 1,6,8,9 # B8: 1,8 => UNS * INC H7: 1,6,8,9 # G4: 6,8 => UNS * INC H7: 1,6,8,9 # G4: 9 => UNS * INC H7: 1,6,8,9 # C8: 2,4 => UNS * INC H7: 1,6,8,9 # C8: 5 => UNS * INC H7: 1,6,8,9 # G7: 2,4 => UNS * INC H7: 1,6,8,9 # I7: 2,4 => UNS * INC H7: 1,6,8,9 # C8: 2,5 => UNS * INC H7: 1,6,8,9 # C8: 4 => UNS * STA H7: 1,6,8,9 * CNT 33 HDP CHAINS / 33 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 5,7 => UNS * INC # A5: 9 => UNS * INC # A6: 3,7 => UNS * INC # A6: 9 => UNS * INC # B8: 3,7 => UNS * INC # B8: 1,8 => UNS * INC # G4: 6,8 => UNS * INC # G4: 9 => UNS * INC # C8: 2,4 => UNS * INC # C8: 5 => UNS * INC # G7: 2,4 => UNS * INC # I7: 2,4 => UNS * INC # C8: 2,5 => UNS * INC # C8: 4 => UNS * INC # A5: 5,7 # B1: 1,5 => UNS * INC # A5: 5,7 # B1: 2,8 => UNS * INC # A5: 5,7 # E1: 1,5 => UNS * INC # A5: 5,7 # E1: 2,8 => UNS * INC # A5: 5,7 # B1: 5,8 => UNS * INC # A5: 5,7 # B1: 1,2 => UNS * INC # A5: 5,7 # E2: 5,8 => UNS * INC # A5: 5,7 # E2: 9 => UNS * INC # A5: 5,7 # B3: 1,6 => UNS * INC # A5: 5,7 # B3: 2,8 => UNS * INC # A5: 5,7 # A7: 1,6 => UNS * INC # A5: 5,7 # A7: 3 => UNS * DIS # A5: 5,7 # E1: 1,2 => CTR => E1: 5,8 * PRF # A5: 5,7 + E1: 5,8 => SOL * STA A5: 5,7 * CNT 28 HDP CHAINS / 28 HYP OPENED