Analysis of xx-ph-00018386-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6.....7....7....85.9..4...3..86..9.......2.1..2..3......98..5.......1.4. initial
Autosolve
position: 98.7.....6.....7....7....85.9..4...3..86..9.......2.1..2..3......98..5.......1.4. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:17.041967
The following important HDP chains were detected:
* PRF # E5: 7 # A5: 3,5 => SOL * STA # E5: 7 + A5: 3,5 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6.....7....7....85.9..4...3..86..9.......2.1..2..3......98..5.......1.4. | initial |
| 98.7.....6.....7....7....85.9..4...3..86..9.......2.1..2..3......98..5.......1.4. | autosolve |
| 981754362654283791237916485792148653318675924465392817526439178149827536873561249 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D4: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 1 pairs (_) / E5 = 1 => 5 pairs (_) F5,D6: 3.. / F5 = 3 => 2 pairs (_) / D6 = 3 => 5 pairs (_) H8,G9: 3.. / H8 = 3 => 3 pairs (_) / G9 = 3 => 2 pairs (_) H4,H5: 5.. / H4 = 5 => 5 pairs (_) / H5 = 5 => 3 pairs (_) E2,F2: 8.. / E2 = 8 => 2 pairs (_) / F2 = 8 => 6 pairs (_) F4,E6: 8.. / F4 = 8 => 2 pairs (_) / E6 = 8 => 6 pairs (_) A7,A9: 8.. / A7 = 8 => 2 pairs (_) / A9 = 8 => 1 pairs (_) F4,G4: 8.. / F4 = 8 => 2 pairs (_) / G4 = 8 => 6 pairs (_) E2,E6: 8.. / E2 = 8 => 2 pairs (_) / E6 = 8 => 6 pairs (_) F2,F4: 8.. / F2 = 8 => 6 pairs (_) / F4 = 8 => 2 pairs (_) H2,I2: 9.. / H2 = 9 => 2 pairs (_) / I2 = 9 => 3 pairs (_) D6,E6: 9.. / D6 = 9 => 3 pairs (_) / E6 = 9 => 5 pairs (_) F3,F7: 9.. / F3 = 9 => 1 pairs (_) / F7 = 9 => 4 pairs (_) H2,H7: 9.. / H2 = 9 => 2 pairs (_) / H7 = 9 => 3 pairs (_) * DURATION: 0:00:10.292158 START: 22:06:45.090632 END: 22:06:55.382790 2020-12-05 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:16.907553 START: 22:07:00.727965 END: 22:07:17.635518 2020-12-05 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00018386-KZ1C-base-pr-002.dot * REASONING * PRF # E5: 7 # A5: 3,5 => SOL * STA # E5: 7 + A5: 3,5 * CNT 1 HDP CHAINS / 25 HYP OPENED
Header Info
18386;KZ1C;GP;23;11.30;11.30;2.60
Solution
position: 981754362654283791237916485792148653318675924465392817526439178149827536873561249 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: 1,5 => UNS * INC # E5: 7 => UNS * INC # A4: 1,5 => UNS * INC # C4: 1,5 => UNS * INC # D2: 1,5 => UNS * INC # D2: 2,3,4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 1,5 => UNS * INC # E5: 7 => UNS * INC # A4: 1,5 => UNS * INC # C4: 1,5 => UNS * INC # D2: 1,5 => UNS * INC # D2: 2,3,4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 1,5 => UNS * INC # E5: 7 => UNS * INC # A4: 1,5 => UNS * INC # C4: 1,5 => UNS * INC # D2: 1,5 => UNS * INC # D2: 2,3,4 => UNS * INC # E5: 1,5 # D2: 1,5 => UNS * INC # E5: 1,5 # D2: 2,3,4 => UNS * INC # E5: 1,5 # E6: 7,8 => UNS * INC # E5: 1,5 # E6: 9 => UNS * INC # E5: 1,5 # E1: 1,5 => UNS * INC # E5: 1,5 # E2: 1,5 => UNS * INC # E5: 1,5 # A5: 3,7 => UNS * INC # E5: 1,5 # B5: 3,7 => UNS * INC # E5: 1,5 # D3: 3,9 => UNS * INC # E5: 1,5 # D3: 1,2,4 => UNS * INC # E5: 1,5 => UNS * INC # E5: 7 # E6: 5,8 => UNS * INC # E5: 7 # E6: 9 => UNS * INC # E5: 7 # F2: 5,8 => UNS * INC # E5: 7 # F2: 3,4 => UNS * INC # E5: 7 # D6: 3,5 => UNS * INC # E5: 7 # D6: 9 => UNS * PRF # E5: 7 # A5: 3,5 => SOL * STA # E5: 7 + A5: 3,5 * CNT 24 HDP CHAINS / 25 HYP OPENED