Analysis of xx-ph-02319306-2019_03_16-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..7......5...4.3.8.7.2...3.....74..3.8.....8.6...3..71.4...1.........4.... initial
Autosolve
position: 98.7..6..73.....5...4.3.8.7.2...3.....74..3.83....8.6...3..71.4...1........34.... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for D2,D7: 8..:
* DIS # D7: 8 # H3: 2,9 => CTR => H3: 1 * DIS # D7: 8 + H3: 1 # A3: 5,6 => CTR => A3: 2 * DIS # D7: 8 + H3: 1 + A3: 2 # B8: 5,6 => CTR => B8: 4,7,9 * DIS # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 # B9: 5,6 => CTR => B9: 1,7,9 * PRF # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F2: 2,6 => SOL * STA # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 + F2: 2,6 * CNT 5 HDP CHAINS / 30 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..7......5...4.3.8.7.2...3.....74..3.8.....8.6...3..71.4...1.........4.... | initial |
| 98.7..6..73.....5...4.3.8.7.2...3.....74..3.83....8.6...3..71.4...1........34.... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,I1: 3.. / H1 = 3 => 2 pairs (_) / I1 = 3 => 0 pairs (_) H8,I8: 3.. / H8 = 3 => 0 pairs (_) / I8 = 3 => 2 pairs (_) H1,H8: 3.. / H1 = 3 => 2 pairs (_) / H8 = 3 => 0 pairs (_) I1,I8: 3.. / I1 = 3 => 0 pairs (_) / I8 = 3 => 2 pairs (_) F1,F2: 4.. / F1 = 4 => 0 pairs (_) / F2 = 4 => 1 pairs (_) H1,G2: 4.. / H1 = 4 => 1 pairs (_) / G2 = 4 => 0 pairs (_) A4,B6: 4.. / A4 = 4 => 2 pairs (_) / B6 = 4 => 0 pairs (_) A8,B8: 4.. / A8 = 4 => 0 pairs (_) / B8 = 4 => 2 pairs (_) F1,H1: 4.. / F1 = 4 => 0 pairs (_) / H1 = 4 => 1 pairs (_) F2,G2: 4.. / F2 = 4 => 1 pairs (_) / G2 = 4 => 0 pairs (_) B6,G6: 4.. / B6 = 4 => 0 pairs (_) / G6 = 4 => 2 pairs (_) A4,A8: 4.. / A4 = 4 => 2 pairs (_) / A8 = 4 => 0 pairs (_) B6,B8: 4.. / B6 = 4 => 0 pairs (_) / B8 = 4 => 2 pairs (_) H1,H4: 4.. / H1 = 4 => 1 pairs (_) / H4 = 4 => 0 pairs (_) I8,I9: 6.. / I8 = 6 => 0 pairs (_) / I9 = 6 => 0 pairs (_) E4,E6: 7.. / E4 = 7 => 0 pairs (_) / E6 = 7 => 0 pairs (_) B8,B9: 7.. / B8 = 7 => 0 pairs (_) / B9 = 7 => 3 pairs (_) E6,G6: 7.. / E6 = 7 => 0 pairs (_) / G6 = 7 => 0 pairs (_) D2,E2: 8.. / D2 = 8 => 0 pairs (_) / E2 = 8 => 4 pairs (_) A4,C4: 8.. / A4 = 8 => 0 pairs (_) / C4 = 8 => 0 pairs (_) D2,D7: 8.. / D2 = 8 => 0 pairs (_) / D7 = 8 => 4 pairs (_) * DURATION: 0:00:17.415127 START: 16:21:57.139042 END: 16:22:14.554169 2020-10-12 * CP COUNT: (21) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D2,D7: 8.. / D2 = 8 => 0 pairs (X) / D7 = 8 ==> 0 pairs (*) * DURATION: 0:00:37.029260 START: 16:22:14.554860 END: 16:22:51.584120 2020-10-12 * REASONING D2,D7: 8.. * DIS # D7: 8 # H3: 2,9 => CTR => H3: 1 * DIS # D7: 8 + H3: 1 # A3: 5,6 => CTR => A3: 2 * DIS # D7: 8 + H3: 1 + A3: 2 # B8: 5,6 => CTR => B8: 4,7,9 * DIS # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 # B9: 5,6 => CTR => B9: 1,7,9 * PRF # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F2: 2,6 => SOL * STA # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 + F2: 2,6 * CNT 5 HDP CHAINS / 30 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
2319306;2019_03_16;PAQ;24;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D2,D7: 8..:
* INC # D7: 8 # G4: 4,7 => UNS * INC # D7: 8 # G6: 4,7 => UNS * INC # D7: 8 # G8: 2,9 => UNS * INC # D7: 8 # I8: 2,9 => UNS * INC # D7: 8 # G9: 2,9 => UNS * INC # D7: 8 # I9: 2,9 => UNS * INC # D7: 8 # E7: 2,9 => UNS * INC # D7: 8 # E7: 5,6 => UNS * DIS # D7: 8 # H3: 2,9 => CTR => H3: 1 * INC # D7: 8 + H3: 1 # G8: 2,9 => UNS * INC # D7: 8 + H3: 1 # I8: 2,9 => UNS * INC # D7: 8 + H3: 1 # G9: 2,9 => UNS * INC # D7: 8 + H3: 1 # I9: 2,9 => UNS * INC # D7: 8 + H3: 1 # E7: 2,9 => UNS * INC # D7: 8 + H3: 1 # E7: 5,6 => UNS * INC # D7: 8 + H3: 1 # H8: 7,8 => UNS * INC # D7: 8 + H3: 1 # H8: 3 => UNS * DIS # D7: 8 + H3: 1 # A3: 5,6 => CTR => A3: 2 * INC # D7: 8 + H3: 1 + A3: 2 # D3: 5,6 => UNS * INC # D7: 8 + H3: 1 + A3: 2 # F3: 5,6 => UNS * INC # D7: 8 + H3: 1 + A3: 2 # B5: 5,6 => UNS * INC # D7: 8 + H3: 1 + A3: 2 # B7: 5,6 => UNS * DIS # D7: 8 + H3: 1 + A3: 2 # B8: 5,6 => CTR => B8: 4,7,9 * DIS # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 # B9: 5,6 => CTR => B9: 1,7,9 * INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # D3: 5,6 => UNS * INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F3: 5,6 => UNS * INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # B5: 5,6 => UNS * INC # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # B7: 5,6 => UNS * PRF # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 # F2: 2,6 => SOL * STA # D7: 8 + H3: 1 + A3: 2 + B8: 4,7,9 + B9: 1,7,9 + F2: 2,6 * CNT 29 HDP CHAINS / 30 HYP OPENED