Analysis of xx-mith-te3-00039759-base.sdk
Original Sudoku
level: deep
position: 1.345..8945..89......1.3.......413.7.14.............6..4581....83..9....9.13.48.. initial
Autosolve
position: 1.345..8945..89......1.3.......413.7.14.....8.....8.6..4581....83..9....9.13.48.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:18.125561
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000003
List of important HDP chains detected for F5,F8: 5..:
* DIS # F5: 5 # E3: 6,7 => CTR => E3: 2 * PRF # F5: 5 + E3: 2 # C2: 6,7 => SOL * STA # F5: 5 + E3: 2 + C2: 6,7 * CNT 2 HDP CHAINS / 8 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 1.345..8945..89......1.3.......413.7.14.............6..4581....83..9....9.13.48.. | initial |
| 1.345..8945..89......1.3.......413.7.14.....8.....8.6..4581....83..9....9.13.48.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (4) B3: 8,9 C3: 8,9 G6: 1,4 I6: 1,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G6,I6: 1.. / G6 = 1 => 4 pairs (_) / I6 = 1 => 2 pairs (_) H2,H8: 1.. / H2 = 1 => 6 pairs (_) / H8 = 1 => 4 pairs (_) H2,I2: 3.. / H2 = 3 => 4 pairs (_) / I2 = 3 => 6 pairs (_) A5,A6: 3.. / A5 = 3 => 4 pairs (_) / A6 = 3 => 5 pairs (_) E5,E6: 3.. / E5 = 3 => 5 pairs (_) / E6 = 3 => 4 pairs (_) H7,I7: 3.. / H7 = 3 => 6 pairs (_) / I7 = 3 => 4 pairs (_) A5,E5: 3.. / A5 = 3 => 4 pairs (_) / E5 = 3 => 5 pairs (_) A6,E6: 3.. / A6 = 3 => 5 pairs (_) / E6 = 3 => 4 pairs (_) H2,H7: 3.. / H2 = 3 => 4 pairs (_) / H7 = 3 => 6 pairs (_) I2,I7: 3.. / I2 = 3 => 6 pairs (_) / I7 = 3 => 4 pairs (_) G6,I6: 4.. / G6 = 4 => 2 pairs (_) / I6 = 4 => 4 pairs (_) H3,H8: 4.. / H3 = 4 => 4 pairs (_) / H8 = 4 => 6 pairs (_) D8,F8: 5.. / D8 = 5 => 13 pairs (_) / F8 = 5 => 4 pairs (_) H9,I9: 5.. / H9 = 5 => 9 pairs (_) / I9 = 5 => 5 pairs (_) A6,D6: 5.. / A6 = 5 => 6 pairs (_) / D6 = 5 => 4 pairs (_) F5,F8: 5.. / F5 = 5 => 13 pairs (_) / F8 = 5 => 4 pairs (_) G3,G5: 5.. / G3 = 5 => 6 pairs (_) / G5 = 5 => 8 pairs (_) I3,I9: 5.. / I3 = 5 => 9 pairs (_) / I9 = 5 => 5 pairs (_) B3,C3: 8.. / B3 = 8 => 3 pairs (_) / C3 = 8 => 3 pairs (_) B4,C4: 8.. / B4 = 8 => 3 pairs (_) / C4 = 8 => 3 pairs (_) B3,B4: 8.. / B3 = 8 => 3 pairs (_) / B4 = 8 => 3 pairs (_) C3,C4: 8.. / C3 = 8 => 3 pairs (_) / C4 = 8 => 3 pairs (_) B3,C3: 9.. / B3 = 9 => 3 pairs (_) / C3 = 9 => 3 pairs (_) G7,H7: 9.. / G7 = 9 => 5 pairs (_) / H7 = 9 => 10 pairs (_) G5,G7: 9.. / G5 = 9 => 10 pairs (_) / G7 = 9 => 5 pairs (_) * DURATION: 0:00:07.038499 START: 13:32:22.954930 END: 13:32:29.993429 2025-04-04 * CP COUNT: (25) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F5,F8: 5.. / F5 = 5 ==> 0 pairs (*) / F8 = 5 => 0 pairs (X) * DURATION: 0:00:09.012889 START: 13:32:50.770233 END: 13:32:59.783122 2025-04-04 * REASONING F5,F8: 5.. * DIS # F5: 5 # E3: 6,7 => CTR => E3: 2 * PRF # F5: 5 + E3: 2 # C2: 6,7 => SOL * STA # F5: 5 + E3: 2 + C2: 6,7 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
rating: 8242; r2: 189181; index: 39759
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # B4: 8,9 => UNS * INC # B4: 2,6 => UNS * INC # C4: 8,9 => UNS * INC # C4: 2,6 => UNS * INC # G8: 1,4 => UNS * INC # G8: 2,6,7 => UNS * INC # I8: 1,4 => UNS * INC # I8: 2,6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 8,9 => UNS * INC # B4: 2,6 => UNS * INC # C4: 8,9 => UNS * INC # C4: 2,6 => UNS * INC # G8: 1,4 => UNS * INC # G8: 2,6,7 => UNS * INC # I8: 1,4 => UNS * INC # I8: 2,6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 8,9 => UNS * INC # B4: 2,6 => UNS * INC # C4: 8,9 => UNS * INC # C4: 2,6 => UNS * INC # G8: 1,4 => UNS * INC # G8: 2,6,7 => UNS * INC # I8: 1,4 => UNS * INC # I8: 2,6 => UNS * INC # B4: 8,9 # C4: 8,9 => UNS * INC # B4: 8,9 # C4: 2,6 => UNS * INC # B4: 8,9 # C4: 8,9 => UNS * INC # B4: 8,9 # C4: 2,6 => UNS * INC # B4: 8,9 # A5: 2,7 => UNS * INC # B4: 8,9 # A6: 2,7 => UNS * INC # B4: 8,9 # C6: 2,7 => UNS * INC # B4: 8,9 # D6: 2,7 => UNS * INC # B4: 8,9 # E6: 2,7 => UNS * INC # B4: 8,9 # B1: 2,7 => UNS * INC # B4: 8,9 # B9: 2,7 => UNS * INC # B4: 8,9 # G8: 1,4 => UNS * INC # B4: 8,9 # G8: 2,6,7 => UNS * INC # B4: 8,9 # I8: 1,4 => UNS * INC # B4: 8,9 # I8: 2,6 => UNS * INC # B4: 8,9 => UNS * INC # B4: 2,6 # A4: 2,6 => UNS * INC # B4: 2,6 # A5: 2,6 => UNS * INC # B4: 2,6 # D4: 2,6 => UNS * INC # B4: 2,6 # D4: 5,9 => UNS * INC # B4: 2,6 # B1: 2,6 => UNS * INC # B4: 2,6 # B9: 2,6 => UNS * INC # B4: 2,6 # A5: 2,7 => UNS * INC # B4: 2,6 # A6: 2,7 => UNS * INC # B4: 2,6 # D6: 2,7 => UNS * INC # B4: 2,6 # E6: 2,7 => UNS * INC # B4: 2,6 # C2: 2,7 => UNS * INC # B4: 2,6 # C8: 2,7 => UNS * INC # B4: 2,6 # G8: 1,4 => UNS * INC # B4: 2,6 # G8: 2,6,7 => UNS * INC # B4: 2,6 # I8: 1,4 => UNS * INC # B4: 2,6 # I8: 2,6 => UNS * INC # B4: 2,6 => UNS * INC # C4: 8,9 # B4: 8,9 => UNS * INC # C4: 8,9 # B4: 2,6 => UNS * INC # C4: 8,9 # B4: 8,9 => UNS * INC # C4: 8,9 # B4: 2,6 => UNS * INC # C4: 8,9 # A5: 2,7 => UNS * INC # C4: 8,9 # A6: 2,7 => UNS * INC # C4: 8,9 # B6: 2,7 => UNS * INC # C4: 8,9 # D6: 2,7 => UNS * INC # C4: 8,9 # E6: 2,7 => UNS * INC # C4: 8,9 # C2: 2,7 => UNS * INC # C4: 8,9 # C8: 2,7 => UNS * INC # C4: 8,9 # G8: 1,4 => UNS * INC # C4: 8,9 # G8: 2,6,7 => UNS * INC # C4: 8,9 # I8: 1,4 => UNS * INC # C4: 8,9 # I8: 2,6 => UNS * INC # C4: 8,9 => UNS * INC # C4: 2,6 # A4: 2,6 => UNS * INC # C4: 2,6 # A5: 2,6 => UNS * INC # C4: 2,6 # D4: 2,6 => UNS * INC # C4: 2,6 # D4: 5,9 => UNS * INC # C4: 2,6 # C2: 2,6 => UNS * INC # C4: 2,6 # C8: 2,6 => UNS * INC # C4: 2,6 # A5: 2,7 => UNS * INC # C4: 2,6 # A6: 2,7 => UNS * INC # C4: 2,6 # D6: 2,7 => UNS * INC # C4: 2,6 # E6: 2,7 => UNS * INC # C4: 2,6 # B1: 2,7 => UNS * INC # C4: 2,6 # B9: 2,7 => UNS * INC # C4: 2,6 # G8: 1,4 => UNS * INC # C4: 2,6 # G8: 2,6,7 => UNS * INC # C4: 2,6 # I8: 1,4 => UNS * INC # C4: 2,6 # I8: 2,6 => UNS * INC # C4: 2,6 => UNS * INC # G8: 1,4 # B4: 8,9 => UNS * INC # G8: 1,4 # B4: 2,6 => UNS * INC # G8: 1,4 # C4: 8,9 => UNS * INC # G8: 1,4 # C4: 2,6 => UNS * INC # G8: 1,4 # I8: 1,4 => UNS * INC # G8: 1,4 # I8: 2,6 => UNS * INC # G8: 1,4 # H8: 1,4 => UNS * INC # G8: 1,4 # I8: 1,4 => UNS * INC # G8: 1,4 => UNS * INC # G8: 2,6,7 # B4: 8,9 => UNS * INC # G8: 2,6,7 # B4: 2,6 => UNS * INC # G8: 2,6,7 # C4: 8,9 => UNS * INC # G8: 2,6,7 # C4: 2,6 => UNS * INC # G8: 2,6,7 => UNS * INC # I8: 1,4 # B4: 8,9 => UNS * INC # I8: 1,4 # B4: 2,6 => UNS * INC # I8: 1,4 # C4: 8,9 => UNS * INC # I8: 1,4 # C4: 2,6 => UNS * INC # I8: 1,4 # G8: 1,4 => UNS * INC # I8: 1,4 # G8: 2,6,7 => UNS * INC # I8: 1,4 # G8: 1,4 => UNS * INC # I8: 1,4 # H8: 1,4 => UNS * INC # I8: 1,4 => UNS * INC # I8: 2,6 # B4: 8,9 => UNS * INC # I8: 2,6 # B4: 2,6 => UNS * INC # I8: 2,6 # C4: 8,9 => UNS * INC # I8: 2,6 # C4: 2,6 => UNS * INC # I8: 2,6 # G7: 2,6 => UNS * INC # I8: 2,6 # I7: 2,6 => UNS * INC # I8: 2,6 # I9: 2,6 => UNS * INC # I8: 2,6 # C8: 2,6 => UNS * INC # I8: 2,6 # D8: 2,6 => UNS * INC # I8: 2,6 # F8: 2,6 => UNS * INC # I8: 2,6 # I3: 2,6 => UNS * INC # I8: 2,6 # I3: 4,5 => UNS * INC # I8: 2,6 => UNS * CNT 110 HDP CHAINS / 110 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F5,F8: 5..:
* INC # F5: 5 # B4: 8,9 => UNS * INC # F5: 5 # B4: 2,6 => UNS * INC # F5: 5 # C4: 8,9 => UNS * INC # F5: 5 # C4: 2,6 => UNS * INC # F5: 5 # F1: 6,7 => UNS * DIS # F5: 5 # E3: 6,7 => CTR => E3: 2 * PRF # F5: 5 + E3: 2 # C2: 6,7 => SOL * STA # F5: 5 + E3: 2 + C2: 6,7 * CNT 7 HDP CHAINS / 8 HYP OPENED