Analysis of xx-mith-te3-00073338-base.sdk
Contents
Original Sudoku
level: hard
position: 12.4.6.894.6.......982...64....4..37...1....564....2.8.629.48..8....19..9..8..... initial
Autosolve
position: 12.4.6.894.6.......9821..64....4..37...1....564....2.8.629.48..8....19..9..8..... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:05.323202
The following important HDP chains were detected:
* DIS # E5: 2,3,6,7 # B2: 3,7 => CTR => B2: 5 * PRF # E5: 2,3,6,7 + B2: 5 => SOL * STA E5: 2,3,6,7 * CNT 2 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12.4.6.894.6.......982...64....4..37...1....564....2.8.629.48..8....19..9..8..... | initial |
| 12.4.6.894.6.......9821..64....4..37...1....564....2.8.629.48..8....19..9..8..... | autosolve |
| 123456789456789123798213564219548637387162495645397218562934871834671952971825346 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) E2: 8,9 F2: 8,9 A4: 2,5 D4: 5,6 G4: 1,6 G5: 4,6 H5: 4,9 H6: 1,9 I7: 1,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H6: 1.. / G4 = 1 => 11 pairs (_) / H6 = 1 => 9 pairs (_) B9,C9: 1.. / B9 = 1 => 10 pairs (_) / C9 = 1 => 9 pairs (_) H7,I7: 1.. / H7 = 1 => 14 pairs (_) / I7 = 1 => 10 pairs (_) C6,H6: 1.. / C6 = 1 => 11 pairs (_) / H6 = 1 => 9 pairs (_) B4,B9: 1.. / B4 = 1 => 9 pairs (_) / B9 = 1 => 10 pairs (_) G2,G4: 1.. / G2 = 1 => 9 pairs (_) / G4 = 1 => 11 pairs (_) I2,I7: 1.. / I2 = 1 => 14 pairs (_) / I7 = 1 => 10 pairs (_) H2,I2: 2.. / H2 = 2 => 13 pairs (_) / I2 = 2 => 11 pairs (_) A4,A5: 2.. / A4 = 2 => 9 pairs (_) / A5 = 2 => 13 pairs (_) A4,F4: 2.. / A4 = 2 => 9 pairs (_) / F4 = 2 => 13 pairs (_) G5,H5: 4.. / G5 = 4 => 9 pairs (_) / H5 = 4 => 11 pairs (_) C8,C9: 4.. / C8 = 4 => 9 pairs (_) / C9 = 4 => 0 pairs (X) C8,H8: 4.. / C8 = 4 => 9 pairs (_) / H8 = 4 => 0 pairs (X) G5,G9: 4.. / G5 = 4 => 9 pairs (_) / G9 = 4 => 11 pairs (_) D4,E5: 6.. / D4 = 6 => 11 pairs (_) / E5 = 6 => 9 pairs (_) G4,G5: 6.. / G4 = 6 => 9 pairs (_) / G5 = 6 => 11 pairs (_) I8,I9: 6.. / I8 = 6 => 11 pairs (_) / I9 = 6 => 10 pairs (_) D4,G4: 6.. / D4 = 6 => 11 pairs (_) / G4 = 6 => 9 pairs (_) E5,G5: 6.. / E5 = 6 => 9 pairs (_) / G5 = 6 => 11 pairs (_) E9,I9: 6.. / E9 = 6 => 11 pairs (_) / I9 = 6 => 10 pairs (_) D4,D8: 6.. / D4 = 6 => 11 pairs (_) / D8 = 6 => 9 pairs (_) E2,F2: 8.. / E2 = 8 => 12 pairs (_) / F2 = 8 => 10 pairs (_) B4,B5: 8.. / B4 = 8 => 10 pairs (_) / B5 = 8 => 11 pairs (_) B4,F4: 8.. / B4 = 8 => 10 pairs (_) / F4 = 8 => 11 pairs (_) E2,E5: 8.. / E2 = 8 => 12 pairs (_) / E5 = 8 => 10 pairs (_) E2,F2: 9.. / E2 = 9 => 10 pairs (_) / F2 = 9 => 12 pairs (_) H5,H6: 9.. / H5 = 9 => 9 pairs (_) / H6 = 9 => 11 pairs (_) C4,F4: 9.. / C4 = 9 => 10 pairs (_) / F4 = 9 => 9 pairs (_) * DURATION: 0:00:09.482501 START: 10:11:34.092790 END: 10:11:43.575291 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:05.193440 START: 10:11:48.196696 END: 10:11:53.390136 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00073338-base-pr-002.dot * REASONING * DIS # E5: 2,3,6,7 # B2: 3,7 => CTR => B2: 5 * PRF # E5: 2,3,6,7 + B2: 5 => SOL * STA E5: 2,3,6,7 * CNT 2 HDP CHAINS / 23 HYP OPENED
Header Info
rating: 16579; r2: 464932; index: 73338
Solution
position: 123456789456789123798213564219548637387162495645397218562934871834671952971825346 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 # E5: 8,9 => UNS * INC # E5: 2,3,6,7 => UNS * INC # F4: 8,9 => UNS * INC # F5: 8,9 => UNS * INC # F4: 2,5 => UNS * INC # F4: 8,9 => UNS * INC # D8: 5,6 => UNS * INC # D8: 3,7 => UNS * INC # C6: 1,9 => UNS * INC # C6: 3,5,7 => UNS * INC # I2: 1,3 => UNS * INC # I2: 2 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 8,9 => UNS * INC # E5: 2,3,6,7 => UNS * INC # F4: 8,9 => UNS * INC # F5: 8,9 => UNS * INC # F4: 2,5 => UNS * INC # F4: 8,9 => UNS * INC # D8: 5,6 => UNS * INC # D8: 3,7 => UNS * INC # C6: 1,9 => UNS * INC # C6: 3,5,7 => UNS * INC # I2: 1,3 => UNS * INC # I2: 2 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 8,9 => UNS * INC # E5: 2,3,6,7 => UNS * INC # F4: 8,9 => UNS * INC # F5: 8,9 => UNS * INC # F4: 2,5 => UNS * INC # F4: 8,9 => UNS * INC # D8: 5,6 => UNS * INC # D8: 3,7 => UNS * INC # C6: 1,9 => UNS * INC # C6: 3,5,7 => UNS * INC # I2: 1,3 => UNS * INC # I2: 2 => UNS * INC # E5: 8,9 # F4: 8,9 => UNS * INC # E5: 8,9 # F5: 8,9 => UNS * INC # E5: 8,9 # F4: 8,9 => UNS * INC # E5: 8,9 # F5: 8,9 => UNS * INC # E5: 8,9 # I8: 2,6 => UNS * INC # E5: 8,9 # I8: 3 => UNS * INC # E5: 8,9 # I9: 2,6 => UNS * INC # E5: 8,9 # I9: 3 => UNS * INC # E5: 8,9 => UNS * DIS # E5: 2,3,6,7 # B2: 3,7 => CTR => B2: 5 * PRF # E5: 2,3,6,7 + B2: 5 => SOL * STA E5: 2,3,6,7 * CNT 23 HDP CHAINS / 23 HYP OPENED