Analysis of xx-ph-00039873-12_07-base.sdk
Original Sudoku
level: deep
position: 98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. initial
Autosolve
position: 98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.666797
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for D5,D7: 9..:
* DIS # D7: 9 # D3: 5 => CTR => D3: 4,8 * DIS # D7: 9 + D3: 4,8 # C4: 6 => CTR => C4: 1,3 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 # B8: 2,3 => CTR => B8: 4,5 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 3 => CTR => F9: 5,8 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 # I9: 4,5 => CTR => I9: 6,9 * PRF # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 # C1: 1,2 => SOL * STA # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 + C1: 1,2 * CNT 6 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. | initial |
| 98.7..6..5...9......7..6...49.........8.6.5.....3.4.2..1......3..9.7.8.....2...1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D5: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D8,F8: 1.. / D8 = 1 => 3 pairs (_) / F8 = 1 => 1 pairs (_) G7,I8: 2.. / G7 = 2 => 1 pairs (_) / I8 = 2 => 2 pairs (_) H5,I5: 4.. / H5 = 4 => 4 pairs (_) / I5 = 4 => 2 pairs (_) B2,C2: 6.. / B2 = 6 => 2 pairs (_) / C2 = 6 => 2 pairs (_) D7,D8: 6.. / D7 = 6 => 0 pairs (_) / D8 = 6 => 3 pairs (_) F4,F5: 7.. / F4 = 7 => 2 pairs (_) / F5 = 7 => 4 pairs (_) A7,A9: 8.. / A7 = 8 => 4 pairs (_) / A9 = 8 => 1 pairs (_) E6,I6: 8.. / E6 = 8 => 3 pairs (_) / I6 = 8 => 4 pairs (_) D5,F5: 9.. / D5 = 9 => 0 pairs (_) / F5 = 9 => 8 pairs (_) G6,I6: 9.. / G6 = 9 => 2 pairs (_) / I6 = 9 => 6 pairs (_) D5,D7: 9.. / D5 = 9 => 0 pairs (_) / D7 = 9 => 8 pairs (_) H3,H7: 9.. / H3 = 9 => 1 pairs (_) / H7 = 9 => 2 pairs (_) * DURATION: 0:00:07.348110 START: 06:09:22.252664 END: 06:09:29.600774 2020-12-18 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D5,D7: 9.. / D5 = 9 => 0 pairs (X) / D7 = 9 ==> 0 pairs (*) * DURATION: 0:00:21.312980 START: 06:09:44.162552 END: 06:10:05.475532 2020-12-18 * REASONING D5,D7: 9.. * DIS # D7: 9 # D3: 5 => CTR => D3: 4,8 * DIS # D7: 9 + D3: 4,8 # C4: 6 => CTR => C4: 1,3 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 # B8: 2,3 => CTR => B8: 4,5 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 3 => CTR => F9: 5,8 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 # I9: 4,5 => CTR => I9: 6,9 * PRF # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 # C1: 1,2 => SOL * STA # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 + C1: 1,2 * CNT 6 HDP CHAINS / 20 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
39873;12_07;GP;23;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # F5: 1,9 => UNS * INC # F5: 2,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 1,9 => UNS * INC # F5: 2,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 1,9 => UNS * INC # F5: 2,7 => UNS * INC # F5: 1,9 # D3: 4,8 => UNS * INC # F5: 1,9 # D3: 5 => UNS * INC # F5: 1,9 # H2: 4,8 => UNS * INC # F5: 1,9 # I2: 4,8 => UNS * INC # F5: 1,9 # D3: 5,8 => UNS * INC # F5: 1,9 # D3: 4 => UNS * INC # F5: 1,9 # E3: 5,8 => UNS * INC # F5: 1,9 # E7: 5,8 => UNS * INC # F5: 1,9 # E9: 5,8 => UNS * INC # F5: 1,9 # C4: 1,3 => UNS * INC # F5: 1,9 # C4: 5,6 => UNS * INC # F5: 1,9 # G2: 1,3 => UNS * INC # F5: 1,9 # G3: 1,3 => UNS * INC # F5: 1,9 # H5: 4,7 => UNS * INC # F5: 1,9 # H5: 3 => UNS * INC # F5: 1,9 # I2: 4,7 => UNS * INC # F5: 1,9 # I9: 4,7 => UNS * INC # F5: 1,9 # H7: 6,9 => UNS * INC # F5: 1,9 # H7: 4,5,7 => UNS * INC # F5: 1,9 => UNS * INC # F5: 2,7 # F4: 2,7 => UNS * INC # F5: 2,7 # F4: 1,5,8 => UNS * INC # F5: 2,7 # A5: 2,7 => UNS * INC # F5: 2,7 # B5: 2,7 => UNS * INC # F5: 2,7 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D5,D7: 9..:
* INC # D7: 9 # D3: 4,8 => UNS * DIS # D7: 9 # D3: 5 => CTR => D3: 4,8 * INC # D7: 9 + D3: 4,8 # H2: 4,8 => UNS * INC # D7: 9 + D3: 4,8 # I2: 4,8 => UNS * INC # D7: 9 + D3: 4,8 # C4: 1,3 => UNS * DIS # D7: 9 + D3: 4,8 # C4: 6 => CTR => C4: 1,3 * INC # D7: 9 + D3: 4,8 + C4: 1,3 # G2: 1,3 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # G3: 1,3 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # G2: 1,3 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # G3: 1,3 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # H5: 4,7 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # H5: 3 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # I2: 4,7 => UNS * INC # D7: 9 + D3: 4,8 + C4: 1,3 # I9: 4,7 => UNS * DIS # D7: 9 + D3: 4,8 + C4: 1,3 # B8: 2,3 => CTR => B8: 4,5 * INC # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 5,8 => UNS * DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 # F9: 3 => CTR => F9: 5,8 * DIS # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 # I9: 4,5 => CTR => I9: 6,9 * PRF # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 # C1: 1,2 => SOL * STA # D7: 9 + D3: 4,8 + C4: 1,3 + B8: 4,5 + F9: 5,8 + I9: 6,9 + C1: 1,2 * CNT 19 HDP CHAINS / 20 HYP OPENED