Analysis of xx-ph-02716414-2019_08_1120_160-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5..9..8....4.3....6..8..7...2.........8..1....56...9....95...8.........7 initial
Autosolve
position: 98.7..6..5..9..8....4.38...6..8..7...2......8..8..1....56...9....95...8.........7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for I6,I8: 6..:
* DIS # I6: 6 # B9: 1,3 => CTR => B9: 4 * DIS # I6: 6 + B9: 4 # D7: 1,2 => CTR => D7: 3,4 * DIS # I6: 6 + B9: 4 + D7: 3,4 # D9: 3 => CTR => D9: 1,2 * DIS # I6: 6 + B9: 4 + D7: 3,4 + D9: 1,2 # F4: 2,4 => CTR => F4: 3 * PRF # I6: 6 + B9: 4 + D7: 3,4 + D9: 1,2 + F4: 3 => SOL * STA I6: 6 * CNT 5 HDP CHAINS / 18 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..8....4.3....6..8..7...2.........8..1....56...9....95...8.........7 | initial |
| 98.7..6..5..9..8....4.38...6..8..7...2......8..8..1....56...9....95...8.........7 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,F1: 5.. / E1 = 5 => 1 pairs (_) / F1 = 5 => 0 pairs (_) C4,C5: 5.. / C4 = 5 => 0 pairs (_) / C5 = 5 => 3 pairs (_) G9,H9: 5.. / G9 = 5 => 4 pairs (_) / H9 = 5 => 0 pairs (_) B2,B3: 6.. / B2 = 6 => 5 pairs (_) / B3 = 6 => 1 pairs (_) I8,H9: 6.. / I8 = 6 => 0 pairs (_) / H9 = 6 => 8 pairs (_) B3,D3: 6.. / B3 = 6 => 1 pairs (_) / D3 = 6 => 5 pairs (_) I6,I8: 6.. / I6 = 6 => 8 pairs (_) / I8 = 6 => 0 pairs (_) H2,H3: 7.. / H2 = 7 => 1 pairs (_) / H3 = 7 => 2 pairs (_) C2,C5: 7.. / C2 = 7 => 2 pairs (_) / C5 = 7 => 1 pairs (_) A7,A9: 8.. / A7 = 8 => 0 pairs (_) / A9 = 8 => 0 pairs (_) E7,E9: 8.. / E7 = 8 => 0 pairs (_) / E9 = 8 => 0 pairs (_) A7,E7: 8.. / A7 = 8 => 0 pairs (_) / E7 = 8 => 0 pairs (_) A9,E9: 8.. / A9 = 8 => 0 pairs (_) / E9 = 8 => 0 pairs (_) H3,I3: 9.. / H3 = 9 => 7 pairs (_) / I3 = 9 => 0 pairs (_) B4,B6: 9.. / B4 = 9 => 0 pairs (_) / B6 = 9 => 0 pairs (_) E9,F9: 9.. / E9 = 9 => 0 pairs (_) / F9 = 9 => 0 pairs (_) * DURATION: 0:00:13.416960 START: 02:51:33.271243 END: 02:51:46.688203 2020-11-18 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I6,I8: 6.. / I6 = 6 ==> 0 pairs (*) / I8 = 6 => 0 pairs (X) * DURATION: 0:00:33.282088 START: 02:51:46.689149 END: 02:52:19.971237 2020-11-18 * REASONING I6,I8: 6.. * DIS # I6: 6 # B9: 1,3 => CTR => B9: 4 * DIS # I6: 6 + B9: 4 # D7: 1,2 => CTR => D7: 3,4 * DIS # I6: 6 + B9: 4 + D7: 3,4 # D9: 3 => CTR => D9: 1,2 * DIS # I6: 6 + B9: 4 + D7: 3,4 + D9: 1,2 # F4: 2,4 => CTR => F4: 3 * PRF # I6: 6 + B9: 4 + D7: 3,4 + D9: 1,2 + F4: 3 => SOL * STA I6: 6 * CNT 5 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
2716414;2019_08_1120_160;PAQ;22;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I6,I8: 6..:
* INC # I6: 6 # C1: 1,3 => UNS * INC # I6: 6 # C2: 1,3 => UNS * INC # I6: 6 # I2: 1,3 => UNS * INC # I6: 6 # I2: 2,4 => UNS * INC # I6: 6 # B4: 1,3 => UNS * DIS # I6: 6 # B9: 1,3 => CTR => B9: 4 * INC # I6: 6 + B9: 4 # C1: 1,3 => UNS * INC # I6: 6 + B9: 4 # C2: 1,3 => UNS * INC # I6: 6 + B9: 4 # I2: 1,3 => UNS * INC # I6: 6 + B9: 4 # I2: 2,4 => UNS * INC # I6: 6 + B9: 4 # E1: 1,2 => UNS * INC # I6: 6 + B9: 4 # E2: 1,2 => UNS * DIS # I6: 6 + B9: 4 # D7: 1,2 => CTR => D7: 3,4 * INC # I6: 6 + B9: 4 + D7: 3,4 # D9: 1,2 => UNS * INC # I6: 6 + B9: 4 + D7: 3,4 # D9: 1,2 => UNS * DIS # I6: 6 + B9: 4 + D7: 3,4 # D9: 3 => CTR => D9: 1,2 * DIS # I6: 6 + B9: 4 + D7: 3,4 + D9: 1,2 # F4: 2,4 => CTR => F4: 3 * PRF # I6: 6 + B9: 4 + D7: 3,4 + D9: 1,2 + F4: 3 => SOL * STA I6: 6 * CNT 18 HDP CHAINS / 18 HYP OPENED