Analysis of xx-mith-te3-00092667-base.sdk
Contents
Original Sudoku
level: hard
position: ....5678....18..3..8.3.71...34...65.7....3...9.....31........7.5.176.8.38...3.56. initial
Autosolve
position: ....5678....18..3..8.3.71...34...65.7....3...9.....31........7.5.176.8.38...3.56. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:03.547689
The following important HDP chains were detected:
* PRF # B2: 5,6 # B1: 2,4 => SOL * STA # B2: 5,6 + B1: 2,4 * CNT 1 HDP CHAINS / 17 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....5678....18..3..8.3.71...34...65.7....3...9.....31........7.5.176.8.38...3.56. | initial |
| ....5678....18..3..8.3.71...34...65.7....3...9.....31........7.5.176.8.38...3.56. | autosolve |
| 123456789457189236689327145234891657715643928968275314396518472541762893872934561 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) I2: 5,6 I3: 5,6 A4: 1,2 D7: 5,8 F7: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 1.. / A1 = 1 => 12 pairs (_) / B1 = 1 => 4 pairs (_) A4,B5: 1.. / A4 = 1 => 4 pairs (_) / B5 = 1 => 12 pairs (_) E7,F9: 1.. / E7 = 1 => 11 pairs (_) / F9 = 1 => 5 pairs (_) I7,I9: 1.. / I7 = 1 => 5 pairs (_) / I9 = 1 => 11 pairs (_) B5,E5: 1.. / B5 = 1 => 12 pairs (_) / E5 = 1 => 4 pairs (_) E7,I7: 1.. / E7 = 1 => 11 pairs (_) / I7 = 1 => 5 pairs (_) F9,I9: 1.. / F9 = 1 => 5 pairs (_) / I9 = 1 => 11 pairs (_) A1,A4: 1.. / A1 = 1 => 12 pairs (_) / A4 = 1 => 4 pairs (_) B1,B5: 1.. / B1 = 1 => 4 pairs (_) / B5 = 1 => 12 pairs (_) F4,F9: 1.. / F4 = 1 => 11 pairs (_) / F9 = 1 => 5 pairs (_) A1,C1: 3.. / A1 = 3 => 5 pairs (_) / C1 = 3 => 5 pairs (_) A7,C7: 3.. / A7 = 3 => 5 pairs (_) / C7 = 3 => 5 pairs (_) A1,A7: 3.. / A1 = 3 => 5 pairs (_) / A7 = 3 => 5 pairs (_) C1,C7: 3.. / C1 = 3 => 5 pairs (_) / C7 = 3 => 5 pairs (_) I2,I3: 5.. / I2 = 5 => 4 pairs (_) / I3 = 5 => 6 pairs (_) D7,F7: 5.. / D7 = 5 => 4 pairs (_) / F7 = 5 => 6 pairs (_) C3,I3: 5.. / C3 = 5 => 4 pairs (_) / I3 = 5 => 6 pairs (_) F6,F7: 5.. / F6 = 5 => 4 pairs (_) / F7 = 5 => 6 pairs (_) I2,I3: 6.. / I2 = 6 => 6 pairs (_) / I3 = 6 => 4 pairs (_) D5,D6: 6.. / D5 = 6 => 6 pairs (_) / D6 = 6 => 6 pairs (_) B2,C2: 7.. / B2 = 7 => 5 pairs (_) / C2 = 7 => 6 pairs (_) E4,E6: 7.. / E4 = 7 => 6 pairs (_) / E6 = 7 => 5 pairs (_) I4,I6: 7.. / I4 = 7 => 5 pairs (_) / I6 = 7 => 6 pairs (_) B9,C9: 7.. / B9 = 7 => 6 pairs (_) / C9 = 7 => 5 pairs (_) E4,I4: 7.. / E4 = 7 => 6 pairs (_) / I4 = 7 => 5 pairs (_) E6,I6: 7.. / E6 = 7 => 5 pairs (_) / I6 = 7 => 6 pairs (_) B2,B9: 7.. / B2 = 7 => 5 pairs (_) / B9 = 7 => 6 pairs (_) C2,C9: 7.. / C2 = 7 => 6 pairs (_) / C9 = 7 => 5 pairs (_) C5,C6: 8.. / C5 = 8 => 9 pairs (_) / C6 = 8 => 5 pairs (_) D7,F7: 8.. / D7 = 8 => 6 pairs (_) / F7 = 8 => 4 pairs (_) * DURATION: 0:00:08.037260 START: 23:43:39.117455 END: 23:43:47.154715 2025-04-04 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:03.419310 START: 23:43:51.335578 END: 23:43:54.754888 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00092667-base-pr-002.dot * REASONING * PRF # B2: 5,6 # B1: 2,4 => SOL * STA # B2: 5,6 + B1: 2,4 * CNT 1 HDP CHAINS / 17 HYP OPENED
Header Info
rating: 23410; r2: 467772; index: 92667
Solution
position: 123456789457189236689327145234891657715643928968275314396518472541762893872934561 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 # B2: 5,6 => UNS * INC # C2: 5,6 => UNS * INC # C3: 5,6 => UNS * INC # C3: 2,9 => UNS * INC # B5: 1,2 => UNS * INC # B5: 5,6 => UNS * INC # E4: 1,2 => UNS * INC # F4: 1,2 => UNS * INC # A1: 1,2 => UNS * INC # A1: 3,4 => UNS * INC # D5: 5,8 => UNS * INC # D6: 5,8 => UNS * INC # F6: 5,8 => UNS * INC # F6: 2,4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 5,6 => UNS * INC # C2: 5,6 => UNS * INC # C3: 5,6 => UNS * INC # C3: 2,9 => UNS * INC # B5: 1,2 => UNS * INC # B5: 5,6 => UNS * INC # E4: 1,2 => UNS * INC # F4: 1,2 => UNS * INC # A1: 1,2 => UNS * INC # A1: 3,4 => UNS * INC # D5: 5,8 => UNS * INC # D6: 5,8 => UNS * INC # F6: 5,8 => UNS * INC # F6: 2,4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 5,6 => UNS * INC # C2: 5,6 => UNS * INC # C3: 5,6 => UNS * INC # C3: 2,9 => UNS * INC # B5: 1,2 => UNS * INC # B5: 5,6 => UNS * INC # E4: 1,2 => UNS * INC # F4: 1,2 => UNS * INC # A1: 1,2 => UNS * INC # A1: 3,4 => UNS * INC # D5: 5,8 => UNS * INC # D6: 5,8 => UNS * INC # F6: 5,8 => UNS * INC # F6: 2,4 => UNS * INC # B2: 5,6 # A1: 2,4 => UNS * PRF # B2: 5,6 # B1: 2,4 => SOL * STA # B2: 5,6 + B1: 2,4 * CNT 16 HDP CHAINS / 17 HYP OPENED