Analysis of xx-ph-00000644-L41-base.sdk
Contents
Original Sudoku
level: deep
position: ....5..89...1..2..6..........1..4....3.2.....9...6..7.....9..68..4...3..8....7..5 initial
Autosolve
position: ....5..89...1..2..6..........1..4....3.2.....9...6..7.....9..68..4...3..8....7..5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for C5,C9: 6..:
* DIS # C9: 6 # D3: 3,4 => CTR => D3: 7,8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for B4,C5: 6..:
* DIS # B4: 6 # D3: 3,4 => CTR => D3: 7,8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
List of important HDP chains detected for D7,G7: 4..:
* DIS # G7: 4 # F7: 3,5 => CTR => F7: 1,2 * CNT 1 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for B8,H8: 9..:
* PRF # B8: 9 # D1: 3,4 => SOL * STA # B8: 9 + D1: 3,4 * CNT 1 HDP CHAINS / 4 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
| ....5..89...1..2..6..........1..4....3.2.....9...6..7.....9..68..4...3..8....7..5 | initial |
| ....5..89...1..2..6..........1..4....3.2.....9...6..7.....9..68..4...3..8....7..5 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A5,B6: 4.. / A5 = 4 => 1 pairs (_) / B6 = 4 => 1 pairs (_) D7,G7: 4.. / D7 = 4 => 2 pairs (_) / G7 = 4 => 2 pairs (_) G1,I2: 6.. / G1 = 6 => 1 pairs (_) / I2 = 6 => 2 pairs (_) B4,C5: 6.. / B4 = 6 => 3 pairs (_) / C5 = 6 => 1 pairs (_) F2,I2: 6.. / F2 = 6 => 1 pairs (_) / I2 = 6 => 2 pairs (_) C5,C9: 6.. / C5 = 6 => 1 pairs (_) / C9 = 6 => 3 pairs (_) G7,I8: 7.. / G7 = 7 => 2 pairs (_) / I8 = 7 => 1 pairs (_) D4,F5: 9.. / D4 = 9 => 0 pairs (_) / F5 = 9 => 0 pairs (_) B8,H8: 9.. / B8 = 9 => 2 pairs (_) / H8 = 9 => 1 pairs (_) D3,D4: 9.. / D3 = 9 => 0 pairs (_) / D4 = 9 => 0 pairs (_) * DURATION: 0:00:07.279141 START: 20:21:20.358406 END: 20:21:27.637547 2020-11-20 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C5,C9: 6.. / C5 = 6 ==> 1 pairs (_) / C9 = 6 ==> 3 pairs (_) B4,C5: 6.. / B4 = 6 ==> 3 pairs (_) / C5 = 6 ==> 1 pairs (_) D7,G7: 4.. / D7 = 4 ==> 2 pairs (_) / G7 = 4 ==> 3 pairs (_) B8,H8: 9.. / B8 = 9 ==> 0 pairs (*) / H8 = 9 => 0 pairs (X) * DURATION: 0:00:59.447555 START: 20:21:27.638910 END: 20:22:27.086465 2020-11-20 * REASONING C5,C9: 6.. * DIS # C9: 6 # D3: 3,4 => CTR => D3: 7,8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING B4,C5: 6.. * DIS # B4: 6 # D3: 3,4 => CTR => D3: 7,8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * REASONING D7,G7: 4.. * DIS # G7: 4 # F7: 3,5 => CTR => F7: 1,2 * CNT 1 HDP CHAINS / 38 HYP OPENED * REASONING B8,H8: 9.. * PRF # B8: 9 # D1: 3,4 => SOL * STA # B8: 9 + D1: 3,4 * CNT 1 HDP CHAINS / 4 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
644;L41;elev;21;11.30;11.30;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C5,C9: 6..:
* INC # C9: 6 # H4: 2,3 => UNS * INC # C9: 6 # I6: 2,3 => UNS * INC # C9: 6 # E9: 3,4 => UNS * INC # C9: 6 # E9: 1,2 => UNS * INC # C9: 6 # D1: 3,4 => UNS * DIS # C9: 6 # D3: 3,4 => CTR => D3: 7,8,9 * INC # C9: 6 + D3: 7,8,9 # D1: 3,4 => UNS * INC # C9: 6 + D3: 7,8,9 # D1: 6,7 => UNS * INC # C9: 6 + D3: 7,8,9 # E9: 3,4 => UNS * INC # C9: 6 + D3: 7,8,9 # E9: 1,2 => UNS * INC # C9: 6 + D3: 7,8,9 # D1: 3,4 => UNS * INC # C9: 6 + D3: 7,8,9 # D1: 6,7 => UNS * INC # C9: 6 + D3: 7,8,9 # H4: 2,3 => UNS * INC # C9: 6 + D3: 7,8,9 # I6: 2,3 => UNS * INC # C9: 6 + D3: 7,8,9 # E9: 3,4 => UNS * INC # C9: 6 + D3: 7,8,9 # E9: 1,2 => UNS * INC # C9: 6 + D3: 7,8,9 # D1: 3,4 => UNS * INC # C9: 6 + D3: 7,8,9 # D1: 6,7 => UNS * INC # C9: 6 + D3: 7,8,9 => UNS * INC # C5: 6 # G5: 1,4 => UNS * INC # C5: 6 # H5: 1,4 => UNS * INC # C5: 6 # G6: 1,4 => UNS * INC # C5: 6 # I6: 1,4 => UNS * INC # C5: 6 # I3: 1,4 => UNS * INC # C5: 6 # I3: 3,7 => UNS * INC # C5: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for B4,C5: 6..:
* INC # B4: 6 # H4: 2,3 => UNS * INC # B4: 6 # I6: 2,3 => UNS * INC # B4: 6 # E9: 3,4 => UNS * INC # B4: 6 # E9: 1,2 => UNS * INC # B4: 6 # D1: 3,4 => UNS * DIS # B4: 6 # D3: 3,4 => CTR => D3: 7,8,9 * INC # B4: 6 + D3: 7,8,9 # D1: 3,4 => UNS * INC # B4: 6 + D3: 7,8,9 # D1: 6,7 => UNS * INC # B4: 6 + D3: 7,8,9 # E9: 3,4 => UNS * INC # B4: 6 + D3: 7,8,9 # E9: 1,2 => UNS * INC # B4: 6 + D3: 7,8,9 # D1: 3,4 => UNS * INC # B4: 6 + D3: 7,8,9 # D1: 6,7 => UNS * INC # B4: 6 + D3: 7,8,9 # H4: 2,3 => UNS * INC # B4: 6 + D3: 7,8,9 # I6: 2,3 => UNS * INC # B4: 6 + D3: 7,8,9 # E9: 3,4 => UNS * INC # B4: 6 + D3: 7,8,9 # E9: 1,2 => UNS * INC # B4: 6 + D3: 7,8,9 # D1: 3,4 => UNS * INC # B4: 6 + D3: 7,8,9 # D1: 6,7 => UNS * INC # B4: 6 + D3: 7,8,9 => UNS * INC # C5: 6 # G5: 1,4 => UNS * INC # C5: 6 # H5: 1,4 => UNS * INC # C5: 6 # G6: 1,4 => UNS * INC # C5: 6 # I6: 1,4 => UNS * INC # C5: 6 # I3: 1,4 => UNS * INC # C5: 6 # I3: 3,7 => UNS * INC # C5: 6 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for D7,G7: 4..:
* INC # D7: 4 # C9: 3,6 => UNS * INC # D7: 4 # C9: 2,9 => UNS * INC # D7: 4 # D1: 3,6 => UNS * INC # D7: 4 # D1: 7 => UNS * INC # D7: 4 # I8: 1,7 => UNS * INC # D7: 4 # I8: 2 => UNS * INC # D7: 4 # A7: 1,7 => UNS * INC # D7: 4 # B7: 1,7 => UNS * INC # D7: 4 # G1: 1,7 => UNS * INC # D7: 4 # G3: 1,7 => UNS * INC # D7: 4 => UNS * DIS # G7: 4 # F7: 3,5 => CTR => F7: 1,2 * INC # G7: 4 + F7: 1,2 # A7: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # C7: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # D4: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # D6: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # H8: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # H9: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # B9: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # B9: 2,6 => UNS * INC # G7: 4 + F7: 1,2 # G5: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # G5: 5,6,8 => UNS * INC # G7: 4 + F7: 1,2 # A7: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # C7: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # D4: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # D6: 3,5 => UNS * INC # G7: 4 + F7: 1,2 # E8: 1,2 => UNS * INC # G7: 4 + F7: 1,2 # F8: 1,2 => UNS * INC # G7: 4 + F7: 1,2 # E9: 1,2 => UNS * INC # G7: 4 + F7: 1,2 # A7: 1,2 => UNS * INC # G7: 4 + F7: 1,2 # B7: 1,2 => UNS * INC # G7: 4 + F7: 1,2 # H8: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # H9: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # B9: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # B9: 2,6 => UNS * INC # G7: 4 + F7: 1,2 # G5: 1,9 => UNS * INC # G7: 4 + F7: 1,2 # G5: 5,6,8 => UNS * INC # G7: 4 + F7: 1,2 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for B8,H8: 9..:
* INC # B8: 9 # D7: 3,4 => UNS * INC # B8: 9 # E9: 3,4 => UNS * PRF # B8: 9 # D1: 3,4 => SOL * STA # B8: 9 + D1: 3,4 * CNT 3 HDP CHAINS / 4 HYP OPENED