Analysis of xx-mith-te3-00137183-base.sdk
Contents
Original Sudoku
level: hard
position: .2.45..8945..89..6.......5.26.845.....8......73......8...9...65....6.9....6.2.84. initial
Autosolve
position: .2.45..8945..892.6......45.26.845...5.8...6.4734...5.8..29...65..5.6.9.2..652.84. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:05.298845
The following important HDP chains were detected:
* DIS # A3: 1,6 # F1: 3,7 => CTR => F1: 6 * PRF # A3: 1,6 + F1: 6 => SOL * STA A3: 1,6 * CNT 2 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.45..8945..89..6.......5.26.845.....8......73......8...9...65....6.9....6.2.84. | initial |
| .2.45..8945..892.6......45.26.845...5.8...6.4734...5.8..29...65..5.6.9.2..652.84. | autosolve |
| 123456789457189236689237451261845397598713624734692518342978165815364972976521843 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) A1: 1,6 C4: 1,9 B5: 1,9 E6: 1,9 F7: 4,8 F8: 4,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,B5: 1.. / C4 = 1 => 21 pairs (_) / B5 = 1 => 10 pairs (_) D3,F3: 2.. / D3 = 2 => 7 pairs (_) / F3 = 2 => 7 pairs (_) H5,H6: 2.. / H5 = 2 => 10 pairs (_) / H6 = 2 => 9 pairs (_) B7,B8: 4.. / B7 = 4 => 5 pairs (_) / B8 = 4 => 5 pairs (_) F7,F8: 4.. / F7 = 4 => 5 pairs (_) / F8 = 4 => 5 pairs (_) B7,F7: 4.. / B7 = 4 => 5 pairs (_) / F7 = 4 => 5 pairs (_) B8,F8: 4.. / B8 = 4 => 5 pairs (_) / F8 = 4 => 5 pairs (_) A1,A3: 6.. / A1 = 6 => 7 pairs (_) / A3 = 6 => 0 pairs (*) D6,F6: 6.. / D6 = 6 => 7 pairs (_) / F6 = 6 => 6 pairs (_) A1,F1: 6.. / A1 = 6 => 7 pairs (_) / F1 = 6 => 0 pairs (*) D3,D6: 6.. / D3 = 6 => 6 pairs (_) / D6 = 6 => 7 pairs (_) A3,B3: 8.. / A3 = 8 => 14 pairs (_) / B3 = 8 => 6 pairs (_) F7,F8: 8.. / F7 = 8 => 5 pairs (_) / F8 = 8 => 5 pairs (_) C4,B5: 9.. / C4 = 9 => 10 pairs (_) / B5 = 9 => 21 pairs (_) E5,E6: 9.. / E5 = 9 => 13 pairs (_) / E6 = 9 => 6 pairs (_) A9,B9: 9.. / A9 = 9 => 7 pairs (_) / B9 = 9 => 10 pairs (_) C4,H4: 9.. / C4 = 9 => 10 pairs (_) / H4 = 9 => 21 pairs (_) E6,H6: 9.. / E6 = 9 => 6 pairs (_) / H6 = 9 => 13 pairs (_) A3,A9: 9.. / A3 = 9 => 10 pairs (_) / A9 = 9 => 7 pairs (_) C3,C4: 9.. / C3 = 9 => 21 pairs (_) / C4 = 9 => 10 pairs (_) * DURATION: 0:00:08.086971 START: 11:47:40.282200 END: 11:47:48.369171 2025-04-05 * CP COUNT: (20) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:05.180668 START: 11:47:56.832161 END: 11:48:02.012829 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00137183-base-pr-002.dot * REASONING * DIS # A3: 1,6 # F1: 3,7 => CTR => F1: 6 * PRF # A3: 1,6 + F1: 6 => SOL * STA A3: 1,6 * CNT 2 HDP CHAINS / 22 HYP OPENED
Header Info
rating: 36491; r2: 761351; index: 137183
Solution
position: 123456789457189236689237451261845397598713624734692518342978165815364972976521843 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 # A3: 1,6 => UNS * INC # A3: 8,9 => UNS * INC # F1: 1,6 => UNS * INC # F1: 3,7 => UNS * INC # H4: 1,9 => UNS * INC # H4: 3,7 => UNS * INC # C3: 1,9 => UNS * INC # C3: 3,7 => UNS * INC # E5: 1,9 => UNS * INC # H5: 1,9 => UNS * INC # B3: 1,9 => UNS * INC # B9: 1,9 => UNS * INC # E5: 1,9 => UNS * INC # E5: 3,7 => UNS * INC # H6: 1,9 => UNS * INC # H6: 2 => UNS * INC # B7: 4,8 => UNS * INC # B7: 1,7 => UNS * INC # B8: 4,8 => UNS * INC # B8: 1,7 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8,9 => UNS * INC # F1: 1,6 => UNS * INC # F1: 3,7 => UNS * INC # H4: 1,9 => UNS * INC # H4: 3,7 => UNS * INC # C3: 1,9 => UNS * INC # C3: 3,7 => UNS * INC # E5: 1,9 => UNS * INC # H5: 1,9 => UNS * INC # B3: 1,9 => UNS * INC # B9: 1,9 => UNS * INC # E5: 1,9 => UNS * INC # E5: 3,7 => UNS * INC # H6: 1,9 => UNS * INC # H6: 2 => UNS * INC # B7: 4,8 => UNS * INC # B7: 1,7 => UNS * INC # B8: 4,8 => UNS * INC # B8: 1,7 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 1,6 => UNS * INC # A3: 8,9 => UNS * INC # F1: 1,6 => UNS * INC # F1: 3,7 => UNS * INC # H4: 1,9 => UNS * INC # H4: 3,7 => UNS * INC # C3: 1,9 => UNS * INC # C3: 3,7 => UNS * INC # E5: 1,9 => UNS * INC # H5: 1,9 => UNS * INC # B3: 1,9 => UNS * INC # B9: 1,9 => UNS * INC # E5: 1,9 => UNS * INC # E5: 3,7 => UNS * INC # H6: 1,9 => UNS * INC # H6: 2 => UNS * INC # B7: 4,8 => UNS * INC # B7: 1,7 => UNS * INC # B8: 4,8 => UNS * INC # B8: 1,7 => UNS * DIS # A3: 1,6 # F1: 3,7 => CTR => F1: 6 * PRF # A3: 1,6 + F1: 6 => SOL * STA A3: 1,6 * CNT 22 HDP CHAINS / 22 HYP OPENED