Analysis of xx-ph-00000072-27-base.sdk
Contents
Original Sudoku
level: deep
position: 1....6.8.4......36....7.5...4...1..3....2......97......3...8.6...25..9...1....... initial
Autosolve
position: 1....6.8.4......36....7.5...4...1..3..1.2......97......3...8.6...25..9...1....3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for I8,I9: 8..:
* DIS # I8: 8 # F3: 3,4 => CTR => F3: 2,9 * DIS # I8: 8 + F3: 2,9 # I7: 1,4 => CTR => I7: 2,5,7 * DIS # I8: 8 + F3: 2,9 + I7: 2,5,7 # I3: 2,9 => CTR => I3: 1,4 * DIS # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 # F2: 5 => CTR => F2: 2,9 * PRF # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 + F2: 2,9 # B3: 2,9 => SOL * STA # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 + F2: 2,9 + B3: 2,9 * CNT 5 HDP CHAINS / 36 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
| 1....6.8.4......36....7.5...4...1..3....2......97......3...8.6...25..9...1....... | initial |
| 1....6.8.4......36....7.5...4...1..3..1.2......97......3...8.6...25..9...1....3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C3: 3.. / C1 = 3 => 1 pairs (_) / C3 = 3 => 1 pairs (_) A5,A6: 3.. / A5 = 3 => 0 pairs (_) / A6 = 3 => 1 pairs (_) E8,F8: 3.. / E8 = 3 => 1 pairs (_) / F8 = 3 => 1 pairs (_) C7,C9: 4.. / C7 = 4 => 1 pairs (_) / C9 = 4 => 2 pairs (_) F8,F9: 7.. / F8 = 7 => 5 pairs (_) / F9 = 7 => 1 pairs (_) I8,I9: 8.. / I8 = 8 => 6 pairs (_) / I9 = 8 => 0 pairs (_) A7,A9: 9.. / A7 = 9 => 1 pairs (_) / A9 = 9 => 2 pairs (_) * DURATION: 0:00:04.798443 START: 08:10:49.635403 END: 08:10:54.433846 2020-09-22 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I8,I9: 8.. / I8 = 8 ==> 0 pairs (*) / I9 = 8 => 0 pairs (X) * DURATION: 0:00:26.719568 START: 08:10:54.434522 END: 08:11:21.154090 2020-09-22 * REASONING I8,I9: 8.. * DIS # I8: 8 # F3: 3,4 => CTR => F3: 2,9 * DIS # I8: 8 + F3: 2,9 # I7: 1,4 => CTR => I7: 2,5,7 * DIS # I8: 8 + F3: 2,9 + I7: 2,5,7 # I3: 2,9 => CTR => I3: 1,4 * DIS # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 # F2: 5 => CTR => F2: 2,9 * PRF # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 + F2: 2,9 # B3: 2,9 => SOL * STA # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 + F2: 2,9 + B3: 2,9 * CNT 5 HDP CHAINS / 36 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
72;27;elev;21;11.70;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I8,I9: 8..:
* INC # I8: 8 # A9: 5,9 => UNS * INC # I8: 8 # A9: 8 => UNS * INC # I8: 8 # C9: 4,5 => UNS * INC # I8: 8 # C9: 8 => UNS * INC # I8: 8 # I7: 4,5 => UNS * INC # I8: 8 # I7: 1,2,7 => UNS * INC # I8: 8 # A4: 6,7 => UNS * INC # I8: 8 # A5: 6,7 => UNS * INC # I8: 8 # B5: 6,7 => UNS * INC # I8: 8 # B5: 5,8 => UNS * INC # I8: 8 # E8: 3,4 => UNS * INC # I8: 8 # E8: 1 => UNS * DIS # I8: 8 # F3: 3,4 => CTR => F3: 2,9 * INC # I8: 8 + F3: 2,9 # F5: 3,4 => UNS * INC # I8: 8 + F3: 2,9 # F6: 3,4 => UNS * INC # I8: 8 + F3: 2,9 # E8: 3,4 => UNS * INC # I8: 8 + F3: 2,9 # E8: 1 => UNS * INC # I8: 8 + F3: 2,9 # F5: 3,4 => UNS * INC # I8: 8 + F3: 2,9 # F6: 3,4 => UNS * INC # I8: 8 + F3: 2,9 # G7: 1,4 => UNS * DIS # I8: 8 + F3: 2,9 # I7: 1,4 => CTR => I7: 2,5,7 * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # G7: 1,4 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # G7: 2,7 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # E8: 1,4 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # E8: 3 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # H3: 1,4 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # H6: 1,4 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # F2: 2,9 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # F2: 5 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # B3: 2,9 => UNS * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 # H3: 2,9 => UNS * DIS # I8: 8 + F3: 2,9 + I7: 2,5,7 # I3: 2,9 => CTR => I3: 1,4 * INC # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 # F2: 2,9 => UNS * DIS # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 # F2: 5 => CTR => F2: 2,9 * PRF # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 + F2: 2,9 # B3: 2,9 => SOL * STA # I8: 8 + F3: 2,9 + I7: 2,5,7 + I3: 1,4 + F2: 2,9 + B3: 2,9 * CNT 35 HDP CHAINS / 36 HYP OPENED