Analysis of xx-ph-02345826-2019_05_01-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5.7....8.........947.8....6..5.3......2..78...4.9...6.....7.4......1.9.7 initial
Autosolve
position: 98.7..6..5.7....8.........947.8....68.5.3......2..78..74.9...6.....7.4......1.9.7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C4,C8: 9..:
* DIS # C4: 9 # H8: 2,3 => CTR => H8: 1,5 * DIS # C4: 9 + H8: 1,5 # H3: 2,3 => CTR => H3: 1,4,5,7 * DIS # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # I8: 1,5 => CTR => I8: 2,3,8 * PRF # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 # H3: 1,5 => SOL * STA # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 + H3: 1,5 * CNT 4 HDP CHAINS / 50 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..5.7....8.........947.8....6..5.3......2..78...4.9...6.....7.4......1.9.7 | initial |
| 98.7..6..5.7....8.........947.8....68.5.3......2..78..74.9...6.....7.4......1.9.7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C3: 4.. / C1 = 4 => 1 pairs (_) / C3 = 4 => 4 pairs (_) D9,F9: 4.. / D9 = 4 => 0 pairs (_) / F9 = 4 => 1 pairs (_) B8,B9: 5.. / B8 = 5 => 1 pairs (_) / B9 = 5 => 1 pairs (_) G3,H3: 7.. / G3 = 7 => 1 pairs (_) / H3 = 7 => 0 pairs (_) G5,H5: 7.. / G5 = 7 => 0 pairs (_) / H5 = 7 => 1 pairs (_) G3,G5: 7.. / G3 = 7 => 1 pairs (_) / G5 = 7 => 0 pairs (_) H3,H5: 7.. / H3 = 7 => 0 pairs (_) / H5 = 7 => 1 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) I7,I8: 8.. / I7 = 8 => 2 pairs (_) / I8 = 8 => 0 pairs (_) C9,F9: 8.. / C9 = 8 => 1 pairs (_) / F9 = 8 => 2 pairs (_) E3,E7: 8.. / E3 = 8 => 1 pairs (_) / E7 = 8 => 1 pairs (_) E2,F2: 9.. / E2 = 9 => 1 pairs (_) / F2 = 9 => 0 pairs (_) B8,C8: 9.. / B8 = 9 => 3 pairs (_) / C8 = 9 => 1 pairs (_) C4,C8: 9.. / C4 = 9 => 3 pairs (_) / C8 = 9 => 1 pairs (_) * DURATION: 0:00:08.879911 START: 17:28:10.609171 END: 17:28:19.489082 2020-11-13 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,C3: 4.. / C1 = 4 ==> 1 pairs (_) / C3 = 4 ==> 4 pairs (_) C4,C8: 9.. / C4 = 9 ==> 0 pairs (*) / C8 = 9 => 0 pairs (X) * DURATION: 0:00:50.618321 START: 17:28:19.489784 END: 17:29:10.108105 2020-11-13 * REASONING C4,C8: 9.. * DIS # C4: 9 # H8: 2,3 => CTR => H8: 1,5 * DIS # C4: 9 + H8: 1,5 # H3: 2,3 => CTR => H3: 1,4,5,7 * DIS # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # I8: 1,5 => CTR => I8: 2,3,8 * PRF # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 # H3: 1,5 => SOL * STA # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 + H3: 1,5 * CNT 4 HDP CHAINS / 50 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
2345826;2019_05_01;PAQ;25;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,C3: 4..:
* INC # C3: 4 # B2: 1,3 => UNS * INC # C3: 4 # A3: 1,3 => UNS * INC # C3: 4 # B3: 1,3 => UNS * INC # C3: 4 # F1: 1,3 => UNS * INC # C3: 4 # H1: 1,3 => UNS * INC # C3: 4 # I1: 1,3 => UNS * INC # C3: 4 # C4: 1,3 => UNS * INC # C3: 4 # C7: 1,3 => UNS * INC # C3: 4 # C8: 1,3 => UNS * INC # C3: 4 # A8: 2,3 => UNS * INC # C3: 4 # B8: 2,3 => UNS * INC # C3: 4 # B9: 2,3 => UNS * INC # C3: 4 # H9: 2,3 => UNS * INC # C3: 4 # H9: 5 => UNS * INC # C3: 4 # A3: 2,3 => UNS * INC # C3: 4 # A3: 1,6 => UNS * INC # C3: 4 # C8: 6,8 => UNS * INC # C3: 4 # C8: 1,3,9 => UNS * INC # C3: 4 # F9: 6,8 => UNS * INC # C3: 4 # F9: 4 => UNS * INC # C3: 4 # F9: 4,6 => UNS * INC # C3: 4 # F9: 8 => UNS * INC # C3: 4 # D2: 4,6 => UNS * INC # C3: 4 # D5: 4,6 => UNS * INC # C3: 4 # D6: 4,6 => UNS * INC # C3: 4 => UNS * INC # C1: 4 # F1: 2,5 => UNS * INC # C1: 4 # D3: 2,5 => UNS * INC # C1: 4 # E3: 2,5 => UNS * INC # C1: 4 # F3: 2,5 => UNS * INC # C1: 4 # H1: 2,5 => UNS * INC # C1: 4 # I1: 2,5 => UNS * INC # C1: 4 # E4: 2,5 => UNS * INC # C1: 4 # E7: 2,5 => UNS * INC # C1: 4 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for C4,C8: 9..:
* INC # C4: 9 # A6: 1,6 => UNS * INC # C4: 9 # B6: 1,6 => UNS * INC # C4: 9 # D5: 1,6 => UNS * INC # C4: 9 # F5: 1,6 => UNS * INC # C4: 9 # B2: 1,6 => UNS * INC # C4: 9 # B3: 1,6 => UNS * INC # C4: 9 # F4: 2,5 => UNS * INC # C4: 9 # F4: 1 => UNS * INC # C4: 9 # G4: 2,5 => UNS * INC # C4: 9 # H4: 2,5 => UNS * INC # C4: 9 # E1: 2,5 => UNS * INC # C4: 9 # E3: 2,5 => UNS * INC # C4: 9 # E7: 2,5 => UNS * INC # C4: 9 # G7: 2,3 => UNS * INC # C4: 9 # I7: 2,3 => UNS * DIS # C4: 9 # H8: 2,3 => CTR => H8: 1,5 * INC # C4: 9 + H8: 1,5 # I8: 2,3 => UNS * INC # C4: 9 + H8: 1,5 # A9: 2,3 => UNS * INC # C4: 9 + H8: 1,5 # D9: 2,3 => UNS * INC # C4: 9 + H8: 1,5 # F9: 2,3 => UNS * INC # C4: 9 + H8: 1,5 # H1: 2,3 => UNS * DIS # C4: 9 + H8: 1,5 # H3: 2,3 => CTR => H3: 1,4,5,7 * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # H4: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # G7: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # I7: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # I8: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # A9: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # D9: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # F9: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # H1: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # H4: 2,3 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # A6: 1,6 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # B6: 1,6 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # D5: 1,6 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # F5: 1,6 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # B2: 1,6 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # B3: 1,6 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # F4: 2,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # F4: 1 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # G4: 2,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # H4: 2,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # E1: 2,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # E3: 2,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # E7: 2,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # G7: 1,5 => UNS * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # I7: 1,5 => UNS * DIS # C4: 9 + H8: 1,5 + H3: 1,4,5,7 # I8: 1,5 => CTR => I8: 2,3,8 * INC # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 # H1: 1,5 => UNS * PRF # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 # H3: 1,5 => SOL * STA # C4: 9 + H8: 1,5 + H3: 1,4,5,7 + I8: 2,3,8 + H3: 1,5 * CNT 49 HDP CHAINS / 50 HYP OPENED