Analysis of xx-mith-te3-00122175-base.sdk
Contents
Original Sudoku
level: hard
position: .2345..8945.........932.4.5.9......334...58.2......9..5.46........2.85949.2574... initial
Autosolve
position: .2345..8945.......8.932.4.5.9......334...58.2......9..5.46........2.85949.2574... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:20.249742
The following important HDP chains were detected:
* PRF # F7: 1,3 # F4: 1,6 => SOL * STA # F7: 1,3 + F4: 1,6 * CNT 1 HDP CHAINS / 95 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2345..8945.........932.4.5.9......334...58.2......9..5.46........2.85949.2574... | initial |
| .2345..8945.......8.932.4.5.9......334...58.2......9..5.46........2.85949.2574... | autosolve |
| 123456789457189236869327415298741653341965872675832941584693127736218594912574368 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) G2: 2,3 H2: 2,3 C4: 5,8 C6: 5,8 H4: 4,5 H6: 4,5 E8: 1,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G2,H2: 2.. / G2 = 2 => 6 pairs (_) / H2 = 2 => 6 pairs (_) A4,A6: 2.. / A4 = 2 => 16 pairs (_) / A6 = 2 => 7 pairs (_) F4,F6: 2.. / F4 = 2 => 7 pairs (_) / F6 = 2 => 16 pairs (_) G7,H7: 2.. / G7 = 2 => 6 pairs (_) / H7 = 2 => 6 pairs (_) A4,F4: 2.. / A4 = 2 => 16 pairs (_) / F4 = 2 => 7 pairs (_) A6,F6: 2.. / A6 = 2 => 7 pairs (_) / F6 = 2 => 16 pairs (_) G2,G7: 2.. / G2 = 2 => 6 pairs (_) / G7 = 2 => 6 pairs (_) H2,H7: 2.. / H2 = 2 => 6 pairs (_) / H7 = 2 => 6 pairs (_) G2,H2: 3.. / G2 = 3 => 6 pairs (_) / H2 = 3 => 6 pairs (_) E6,F6: 3.. / E6 = 3 => 12 pairs (_) / F6 = 3 => 8 pairs (_) B8,E8: 3.. / B8 = 3 => 15 pairs (_) / E8 = 3 => 11 pairs (_) F6,F7: 3.. / F6 = 3 => 8 pairs (_) / F7 = 3 => 12 pairs (_) E4,E6: 4.. / E4 = 4 => 4 pairs (_) / E6 = 4 => 5 pairs (_) H4,H6: 4.. / H4 = 4 => 5 pairs (_) / H6 = 4 => 4 pairs (_) E4,H4: 4.. / E4 = 4 => 4 pairs (_) / H4 = 4 => 5 pairs (_) E6,H6: 4.. / E6 = 4 => 5 pairs (_) / H6 = 4 => 4 pairs (_) C4,C6: 5.. / C4 = 5 => 5 pairs (_) / C6 = 5 => 4 pairs (_) H4,H6: 5.. / H4 = 5 => 4 pairs (_) / H6 = 5 => 5 pairs (_) C4,H4: 5.. / C4 = 5 => 5 pairs (_) / H4 = 5 => 4 pairs (_) C6,H6: 5.. / C6 = 5 => 4 pairs (_) / H6 = 5 => 5 pairs (_) D2,E2: 8.. / D2 = 8 => 15 pairs (_) / E2 = 8 => 7 pairs (_) C4,C6: 8.. / C4 = 8 => 4 pairs (_) / C6 = 8 => 5 pairs (_) B7,B9: 8.. / B7 = 8 => 9 pairs (_) / B9 = 8 => 11 pairs (_) I7,I9: 8.. / I7 = 8 => 11 pairs (_) / I9 = 8 => 9 pairs (_) B7,I7: 8.. / B7 = 8 => 9 pairs (_) / I7 = 8 => 11 pairs (_) B9,I9: 8.. / B9 = 8 => 11 pairs (_) / I9 = 8 => 9 pairs (_) D5,E5: 9.. / D5 = 9 => 8 pairs (_) / E5 = 9 => 11 pairs (_) E7,F7: 9.. / E7 = 9 => 9 pairs (_) / F7 = 9 => 11 pairs (_) D2,D5: 9.. / D2 = 9 => 11 pairs (_) / D5 = 9 => 8 pairs (_) F2,F7: 9.. / F2 = 9 => 9 pairs (_) / F7 = 9 => 11 pairs (_) * DURATION: 0:00:10.451497 START: 19:10:32.891113 END: 19:10:43.342610 2025-04-06 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:19.932311 START: 19:10:47.376284 END: 19:11:07.308595 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00122175-base-pr-002.dot * REASONING * PRF # F7: 1,3 # F4: 1,6 => SOL * STA # F7: 1,3 + F4: 1,6 * CNT 1 HDP CHAINS / 95 HYP OPENED
Header Info
rating: 31778; r2: 594875; index: 122175
Solution
position: 123456789457189236869327415298741653341965872675832941584693127736218594912574368 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 # G7: 2,3 => UNS * INC # G7: 1,7 => UNS * INC # H7: 2,3 => UNS * INC # H7: 1,7 => UNS * INC # E7: 1,3 => UNS * INC # F7: 1,3 => UNS * INC # B8: 1,3 => UNS * INC # B8: 6,7 => UNS * INC # E6: 1,3 => UNS * INC # E6: 4,6,8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 2,3 => UNS * INC # G7: 1,7 => UNS * INC # H7: 2,3 => UNS * INC # H7: 1,7 => UNS * INC # E7: 1,3 => UNS * INC # F7: 1,3 => UNS * INC # B8: 1,3 => UNS * INC # B8: 6,7 => UNS * INC # E6: 1,3 => UNS * INC # E6: 4,6,8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 2,3 => UNS * INC # G7: 1,7 => UNS * INC # H7: 2,3 => UNS * INC # H7: 1,7 => UNS * INC # E7: 1,3 => UNS * INC # F7: 1,3 => UNS * INC # B8: 1,3 => UNS * INC # B8: 6,7 => UNS * INC # E6: 1,3 => UNS * INC # E6: 4,6,8 => UNS * INC # G7: 2,3 # H7: 2,3 => UNS * INC # G7: 2,3 # H7: 1,7 => UNS * INC # G7: 2,3 # E7: 1,3 => UNS * INC # G7: 2,3 # F7: 1,3 => UNS * INC # G7: 2,3 # B8: 1,3 => UNS * INC # G7: 2,3 # B8: 6,7 => UNS * INC # G7: 2,3 # E6: 1,3 => UNS * INC # G7: 2,3 # E6: 4,6,8 => UNS * INC # G7: 2,3 # H7: 2,3 => UNS * INC # G7: 2,3 # H7: 1,7 => UNS * INC # G7: 2,3 # H9: 1,6 => UNS * INC # G7: 2,3 # I9: 1,6 => UNS * INC # G7: 2,3 # G1: 1,6 => UNS * INC # G7: 2,3 # G4: 1,6 => UNS * INC # G7: 2,3 => UNS * INC # G7: 1,7 # B7: 1,8 => UNS * INC # G7: 1,7 # B7: 3 => UNS * INC # G7: 1,7 # I9: 1,8 => UNS * INC # G7: 1,7 # I9: 6 => UNS * INC # G7: 1,7 # E7: 1,3 => UNS * INC # G7: 1,7 # F7: 1,3 => UNS * INC # G7: 1,7 # B8: 1,3 => UNS * INC # G7: 1,7 # B8: 6,7 => UNS * INC # G7: 1,7 # E6: 1,3 => UNS * INC # G7: 1,7 # E6: 4,6,8 => UNS * INC # G7: 1,7 # I7: 1,7 => UNS * INC # G7: 1,7 # I7: 8 => UNS * INC # G7: 1,7 # G1: 1,7 => UNS * INC # G7: 1,7 # G4: 1,7 => UNS * INC # G7: 1,7 # I9: 1,6 => UNS * INC # G7: 1,7 # I9: 8 => UNS * INC # G7: 1,7 # H3: 1,6 => UNS * INC # G7: 1,7 # H5: 1,6 => UNS * INC # G7: 1,7 => UNS * INC # H7: 2,3 # G7: 2,3 => UNS * INC # H7: 2,3 # G7: 1,7 => UNS * INC # H7: 2,3 # E7: 1,3 => UNS * INC # H7: 2,3 # F7: 1,3 => UNS * INC # H7: 2,3 # B8: 1,3 => UNS * INC # H7: 2,3 # B8: 6,7 => UNS * INC # H7: 2,3 # E6: 1,3 => UNS * INC # H7: 2,3 # E6: 4,6,8 => UNS * INC # H7: 2,3 # G7: 2,3 => UNS * INC # H7: 2,3 # G7: 1,7 => UNS * INC # H7: 2,3 # G9: 1,6 => UNS * INC # H7: 2,3 # I9: 1,6 => UNS * INC # H7: 2,3 # H3: 1,6 => UNS * INC # H7: 2,3 # H5: 1,6 => UNS * INC # H7: 2,3 => UNS * INC # H7: 1,7 # B7: 1,8 => UNS * INC # H7: 1,7 # B7: 3 => UNS * INC # H7: 1,7 # I9: 1,8 => UNS * INC # H7: 1,7 # I9: 6 => UNS * INC # H7: 1,7 # E7: 1,3 => UNS * INC # H7: 1,7 # F7: 1,3 => UNS * INC # H7: 1,7 # B8: 1,3 => UNS * INC # H7: 1,7 # B8: 6,7 => UNS * INC # H7: 1,7 # E6: 1,3 => UNS * INC # H7: 1,7 # E6: 4,6,8 => UNS * INC # H7: 1,7 # I7: 1,7 => UNS * INC # H7: 1,7 # I7: 8 => UNS * INC # H7: 1,7 # H3: 1,7 => UNS * INC # H7: 1,7 # H5: 1,7 => UNS * INC # H7: 1,7 # I9: 1,6 => UNS * INC # H7: 1,7 # I9: 8 => UNS * INC # H7: 1,7 # G1: 1,6 => UNS * INC # H7: 1,7 # G4: 1,6 => UNS * INC # H7: 1,7 => UNS * INC # E7: 1,3 # G7: 2,3 => UNS * INC # E7: 1,3 # G7: 1,7 => UNS * INC # E7: 1,3 # H7: 2,3 => UNS * INC # E7: 1,3 # H7: 1,7 => UNS * INC # E7: 1,3 # B7: 1,3 => UNS * INC # E7: 1,3 # G7: 1,3 => UNS * INC # E7: 1,3 # H7: 1,3 => UNS * INC # E7: 1,3 # B8: 1,3 => UNS * INC # E7: 1,3 # B8: 6,7 => UNS * INC # E7: 1,3 => UNS * INC # F7: 1,3 # G7: 2,3 => UNS * INC # F7: 1,3 # G7: 1,7 => UNS * INC # F7: 1,3 # H7: 2,3 => UNS * INC # F7: 1,3 # H7: 1,7 => UNS * INC # F7: 1,3 # E4: 1,6 => UNS * PRF # F7: 1,3 # F4: 1,6 => SOL * STA # F7: 1,3 + F4: 1,6 * CNT 94 HDP CHAINS / 95 HYP OPENED