Analysis of xx-ph-00248057-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1....23.4...45..2....546.7....72......4.....86..9..2...4.....9..57.9....4 initial
Autosolve
position: .....4..1....23.4...45..2....546.7....72..4...4.....86..9.42...4.....9..57.9....4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for I4,I8: 2..:
* DIS # I8: 2 # G1: 6,8 => CTR => G1: 3,5 * DIS # I8: 2 + G1: 3,5 # A2: 6,8 => CTR => A2: 1,7,9 * DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 # E6: 1,3 => CTR => E6: 5,7,9 * DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # E5: 1,8 => CTR => E5: 3,5 * PRF # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 5 => SOL * STA # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 + F5: 5 * CNT 5 HDP CHAINS / 32 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....23.4...45..2....546.7....72......4.....86..9..2...4.....9..57.9....4 | initial |
| .....4..1....23.4...45..2....546.7....72..4...4.....86..9.42...4.....9..57.9....4 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A6,C6: 2.. / A6 = 2 => 2 pairs (_) / C6 = 2 => 0 pairs (_) H4,I4: 2.. / H4 = 2 => 4 pairs (_) / I4 = 2 => 0 pairs (_) C9,H9: 2.. / C9 = 2 => 3 pairs (_) / H9 = 2 => 0 pairs (_) A1,A6: 2.. / A1 = 2 => 0 pairs (_) / A6 = 2 => 2 pairs (_) B1,B8: 2.. / B1 = 2 => 3 pairs (_) / B8 = 2 => 0 pairs (_) I4,I8: 2.. / I4 = 2 => 0 pairs (_) / I8 = 2 => 4 pairs (_) B1,B2: 5.. / B1 = 5 => 0 pairs (_) / B2 = 5 => 1 pairs (_) E8,F8: 5.. / E8 = 5 => 0 pairs (_) / F8 = 5 => 0 pairs (_) A5,B5: 6.. / A5 = 6 => 0 pairs (_) / B5 = 6 => 0 pairs (_) * DURATION: 0:00:06.512480 START: 17:06:31.472128 END: 17:06:37.984608 2020-10-01 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I4,I8: 2.. / I4 = 2 => 0 pairs (X) / I8 = 2 ==> 0 pairs (*) * DURATION: 0:00:25.630873 START: 17:06:37.985199 END: 17:07:03.616072 2020-10-01 * REASONING I4,I8: 2.. * DIS # I8: 2 # G1: 6,8 => CTR => G1: 3,5 * DIS # I8: 2 + G1: 3,5 # A2: 6,8 => CTR => A2: 1,7,9 * DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 # E6: 1,3 => CTR => E6: 5,7,9 * DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # E5: 1,8 => CTR => E5: 3,5 * PRF # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 5 => SOL * STA # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 + F5: 5 * CNT 5 HDP CHAINS / 32 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
248057;12_12_03;dob;24;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,I8: 2..:
* DIS # I8: 2 # G1: 6,8 => CTR => G1: 3,5 * DIS # I8: 2 + G1: 3,5 # A2: 6,8 => CTR => A2: 1,7,9 * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # C2: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # D2: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G7: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G9: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # C2: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # D2: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G7: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # G9: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # A4: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # B4: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # A5: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # B5: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 # D6: 1,3 => UNS * DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 # E6: 1,3 => CTR => E6: 5,7,9 * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # G6: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 6,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # A4: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # B4: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # A5: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # B5: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # D6: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # G6: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 1,3 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # C8: 6,8 => UNS * DIS # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 # E5: 1,8 => CTR => E5: 3,5 * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 1,8 => UNS * INC # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 1,8 => UNS * PRF # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 # F5: 5 => SOL * STA # I8: 2 + G1: 3,5 + A2: 1,7,9 + E6: 5,7,9 + E5: 3,5 + F5: 5 * CNT 31 HDP CHAINS / 32 HYP OPENED