Analysis of xx-mith-te3-00104430-base.sdk
Contents
Original Sudoku
level: hard
position: ..345.7.94..7.913........4.2....7....9....5.76781.5.......3.9.......4....1.57.... initial
Autosolve
position: 1.345.7.94..7.913.....13.4.2..3.7...39....5.76781.5.......319...3.9.4..1.1.57.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.579209
The following important HDP chains were detected:
* DIS # C4: 4,5 # I2: 6,8 => CTR => I2: 2,5 * DIS # C4: 4,5 + I2: 2,5 # I3: 6,8 => CTR => I3: 2,5 * PRF # C4: 4,5 + I2: 2,5 + I3: 2,5 # I9: 6,8 => SOL * STA # C4: 4,5 + I2: 2,5 + I3: 2,5 + I9: 6,8 * CNT 3 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..345.7.94..7.913........4.2....7....9....5.76781.5.......3.9.......4....1.57.... | initial |
| 1.345.7.94..7.913.....13.4.2..3.7...39....5.76781.5.......319...3.9.4..1.1.57.... | autosolve |
| 123456789456789132789213645245397816391648527678125493562831974837964251914572368 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A3: 7,9 C3: 7,9 B4: 4,5 C5: 1,4 H6: 2,9 A9: 8,9 H7: 5,7 H8: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,C5: 1.. / C4 = 1 => 10 pairs (_) / C5 = 1 => 18 pairs (_) H4,H5: 1.. / H4 = 1 => 18 pairs (_) / H5 = 1 => 10 pairs (_) C4,H4: 1.. / C4 = 1 => 10 pairs (_) / H4 = 1 => 18 pairs (_) C5,H5: 1.. / C5 = 1 => 18 pairs (_) / H5 = 1 => 10 pairs (_) G6,I6: 3.. / G6 = 3 => 9 pairs (_) / I6 = 3 => 10 pairs (_) G9,I9: 3.. / G9 = 3 => 10 pairs (_) / I9 = 3 => 9 pairs (_) G6,G9: 3.. / G6 = 3 => 9 pairs (_) / G9 = 3 => 10 pairs (_) I6,I9: 3.. / I6 = 3 => 10 pairs (_) / I9 = 3 => 9 pairs (_) C5,E5: 4.. / C5 = 4 => 10 pairs (_) / E5 = 4 => 18 pairs (_) B4,B7: 4.. / B4 = 4 => 18 pairs (_) / B7 = 4 => 10 pairs (_) I2,I3: 5.. / I2 = 5 => 0 pairs (X) / I3 = 5 => 8 pairs (_) B4,C4: 5.. / B4 = 5 => 10 pairs (_) / C4 = 5 => 18 pairs (_) A7,A8: 5.. / A7 = 5 => 7 pairs (_) / A8 = 5 => 8 pairs (_) H7,H8: 5.. / H7 = 5 => 8 pairs (_) / H8 = 5 => 7 pairs (_) B3,I3: 5.. / B3 = 5 => 0 pairs (X) / I3 = 5 => 8 pairs (_) A7,H7: 5.. / A7 = 5 => 7 pairs (_) / H7 = 5 => 8 pairs (_) A8,H8: 5.. / A8 = 5 => 8 pairs (_) / H8 = 5 => 7 pairs (_) C2,C4: 5.. / C2 = 5 => 10 pairs (_) / C4 = 5 => 18 pairs (_) A3,C3: 7.. / A3 = 7 => 7 pairs (_) / C3 = 7 => 12 pairs (_) H7,H8: 7.. / H7 = 7 => 7 pairs (_) / H8 = 7 => 8 pairs (_) A3,C3: 9.. / A3 = 9 => 12 pairs (_) / C3 = 9 => 7 pairs (_) E4,E6: 9.. / E4 = 9 => 9 pairs (_) / E6 = 9 => 13 pairs (_) H4,H6: 9.. / H4 = 9 => 13 pairs (_) / H6 = 9 => 9 pairs (_) A9,C9: 9.. / A9 = 9 => 7 pairs (_) / C9 = 9 => 12 pairs (_) E4,H4: 9.. / E4 = 9 => 9 pairs (_) / H4 = 9 => 13 pairs (_) E6,H6: 9.. / E6 = 9 => 13 pairs (_) / H6 = 9 => 9 pairs (_) A3,A9: 9.. / A3 = 9 => 12 pairs (_) / A9 = 9 => 7 pairs (_) C3,C9: 9.. / C3 = 9 => 7 pairs (_) / C9 = 9 => 12 pairs (_) * DURATION: 0:00:10.152445 START: 16:50:00.458138 END: 16:50:10.610583 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:12.450227 START: 16:50:14.829317 END: 16:50:27.279544 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00104430-base-pr-002.dot * REASONING * DIS # C4: 4,5 # I2: 6,8 => CTR => I2: 2,5 * DIS # C4: 4,5 + I2: 2,5 # I3: 6,8 => CTR => I3: 2,5 * PRF # C4: 4,5 + I2: 2,5 + I3: 2,5 # I9: 6,8 => SOL * STA # C4: 4,5 + I2: 2,5 + I3: 2,5 + I9: 6,8 * CNT 3 HDP CHAINS / 31 HYP OPENED
Header Info
rating: 26224; r2: 543414; index: 104430
Solution
position: 123456789456789132789213645245397816391648527678125493562831974837964251914572368 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 # C4: 4,5 => UNS * INC # C4: 1 => UNS * INC # C4: 1,4 => UNS * INC # C4: 5 => UNS * INC # E6: 2,9 => UNS * INC # E6: 4 => UNS * INC # A7: 5,7 => UNS * INC # A7: 8 => UNS * INC # A8: 5,7 => UNS * INC # A8: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C4: 4,5 => UNS * INC # C4: 1 => UNS * INC # C4: 1,4 => UNS * INC # C4: 5 => UNS * INC # E6: 2,9 => UNS * INC # E6: 4 => UNS * INC # A7: 5,7 => UNS * INC # A7: 8 => UNS * INC # A8: 5,7 => UNS * INC # A8: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C4: 4,5 => UNS * INC # C4: 1 => UNS * INC # C4: 1,4 => UNS * INC # C4: 5 => UNS * INC # E6: 2,9 => UNS * INC # E6: 4 => UNS * INC # A7: 5,7 => UNS * INC # A7: 8 => UNS * INC # A8: 5,7 => UNS * INC # A8: 8 => UNS * INC # C4: 4,5 # F1: 6,8 => UNS * INC # C4: 4,5 # D3: 6,8 => UNS * INC # C4: 4,5 # B2: 6,8 => UNS * DIS # C4: 4,5 # I2: 6,8 => CTR => I2: 2,5 * INC # C4: 4,5 + I2: 2,5 # B2: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 # B2: 2,5 => UNS * INC # C4: 4,5 + I2: 2,5 # F1: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 # D3: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 # B2: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 # B2: 2,5 => UNS * INC # C4: 4,5 + I2: 2,5 # G3: 6,8 => UNS * DIS # C4: 4,5 + I2: 2,5 # I3: 6,8 => CTR => I3: 2,5 * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # B1: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # F1: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # D3: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # D7: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # F1: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # F9: 6,8 => UNS * INC # C4: 4,5 + I2: 2,5 + I3: 2,5 # I7: 6,8 => UNS * PRF # C4: 4,5 + I2: 2,5 + I3: 2,5 # I9: 6,8 => SOL * STA # C4: 4,5 + I2: 2,5 + I3: 2,5 + I9: 6,8 * CNT 30 HDP CHAINS / 31 HYP OPENED