Analysis of xx-ph-00001329-410-base.sdk
Original Sudoku
level: deep
position: ..3.5.7..4.7.8.....6......1....458.........2....9....6..5..43...1.2...9......8... initial
Autosolve
position: 1.3.5.7..4.7.8.....6......1....458.....8...2....9....6..5..43...1.2...9....5.8... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:10.595403
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000019
List of important HDP chains detected for G8,I8: 5..:
* PRF # G8: 5 # H6: 1,4 => SOL * STA # G8: 5 + H6: 1,4 * CNT 1 HDP CHAINS / 5 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
| ..3.5.7..4.7.8.....6......1....458.........2....9....6..5..43...1.2...9......8... | initial |
| 1.3.5.7..4.7.8.....6......1....458.....8...2....9....6..5..43...1.2...9....5.8... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D1: 4,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,F2: 1.. / D2 = 1 => 4 pairs (_) / F2 = 1 => 2 pairs (_) E6,F6: 2.. / E6 = 2 => 2 pairs (_) / F6 = 2 => 3 pairs (_) E3,E6: 2.. / E3 = 2 => 3 pairs (_) / E6 = 2 => 2 pairs (_) D1,D3: 4.. / D1 = 4 => 2 pairs (_) / D3 = 4 => 4 pairs (_) B2,A3: 5.. / B2 = 5 => 2 pairs (_) / A3 = 5 => 2 pairs (_) G8,I8: 5.. / G8 = 5 => 2 pairs (_) / I8 = 5 => 2 pairs (_) E7,E9: 9.. / E7 = 9 => 1 pairs (_) / E9 = 9 => 1 pairs (_) * DURATION: 0:00:05.524516 START: 09:15:01.587069 END: 09:15:07.111585 2020-11-27 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D1,D3: 4.. / D1 = 4 ==> 2 pairs (_) / D3 = 4 ==> 4 pairs (_) D2,F2: 1.. / D2 = 1 ==> 4 pairs (_) / F2 = 1 ==> 2 pairs (_) E3,E6: 2.. / E3 = 2 ==> 3 pairs (_) / E6 = 2 ==> 2 pairs (_) E6,F6: 2.. / E6 = 2 ==> 2 pairs (_) / F6 = 2 ==> 3 pairs (_) G8,I8: 5.. / G8 = 5 ==> 0 pairs (*) / I8 = 5 => 0 pairs (X) * DURATION: 0:00:45.594433 START: 09:15:19.837539 END: 09:16:05.431972 2020-11-27 * REASONING G8,I8: 5.. * PRF # G8: 5 # H6: 1,4 => SOL * STA # G8: 5 + H6: 1,4 * CNT 1 HDP CHAINS / 5 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
1329;410;elev;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H1: 4,6 => UNS * INC # H1: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 4,6 => UNS * INC # H1: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 4,6 => UNS * INC # H1: 8 => UNS * INC # H1: 4,6 # F2: 2,9 => UNS * INC # H1: 4,6 # F3: 2,9 => UNS * INC # H1: 4,6 # B1: 2,9 => UNS * INC # H1: 4,6 # I1: 2,9 => UNS * INC # H1: 4,6 # H9: 4,6 => UNS * INC # H1: 4,6 # H9: 1,7 => UNS * INC # H1: 4,6 => UNS * INC # H1: 8 # B2: 2,9 => UNS * INC # H1: 8 # A3: 2,9 => UNS * INC # H1: 8 # C3: 2,9 => UNS * INC # H1: 8 # F1: 2,9 => UNS * INC # H1: 8 # I1: 2,9 => UNS * INC # H1: 8 # B4: 2,9 => UNS * INC # H1: 8 # B7: 2,9 => UNS * INC # H1: 8 # B9: 2,9 => UNS * INC # H1: 8 # F2: 1,3 => UNS * INC # H1: 8 # F2: 2,9 => UNS * INC # H1: 8 # D4: 1,3 => UNS * INC # H1: 8 # D4: 6,7 => UNS * INC # H1: 8 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D1,D3: 4..:
* INC # D3: 4 # F2: 2,9 => UNS * INC # D3: 4 # F3: 2,9 => UNS * INC # D3: 4 # B1: 2,9 => UNS * INC # D3: 4 # I1: 2,9 => UNS * INC # D3: 4 # F2: 1,3 => UNS * INC # D3: 4 # F2: 2,9 => UNS * INC # D3: 4 # D4: 1,3 => UNS * INC # D3: 4 # D4: 7 => UNS * INC # D3: 4 # I1: 4,8 => UNS * INC # D3: 4 # I1: 2,9 => UNS * INC # D3: 4 # E7: 1,7 => UNS * INC # D3: 4 # E9: 1,7 => UNS * INC # D3: 4 # H7: 1,7 => UNS * INC # D3: 4 # H7: 6,8 => UNS * INC # D3: 4 # D4: 1,7 => UNS * INC # D3: 4 # D4: 3 => UNS * INC # D3: 4 => UNS * INC # D1: 4 # E3: 3,7 => UNS * INC # D1: 4 # F3: 3,7 => UNS * INC # D1: 4 # D4: 3,7 => UNS * INC # D1: 4 # D4: 1,6 => UNS * INC # D1: 4 # H7: 6,8 => UNS * INC # D1: 4 # H7: 1,7 => UNS * INC # D1: 4 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for D2,F2: 1..:
* INC # D2: 1 # H1: 4,6 => UNS * INC # D2: 1 # H1: 8 => UNS * INC # D2: 1 # E8: 6,7 => UNS * INC # D2: 1 # F8: 6,7 => UNS * INC # D2: 1 # A7: 6,7 => UNS * INC # D2: 1 # H7: 6,7 => UNS * INC # D2: 1 # D4: 6,7 => UNS * INC # D2: 1 # D4: 3 => UNS * INC # D2: 1 => UNS * INC # F2: 1 # H1: 4,6 => UNS * INC # F2: 1 # H1: 8 => UNS * INC # F2: 1 # H2: 3,6 => UNS * INC # F2: 1 # H2: 5 => UNS * INC # F2: 1 # D4: 3,6 => UNS * INC # F2: 1 # D4: 1,7 => UNS * INC # F2: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for E3,E6: 2..:
* INC # E3: 2 # B1: 8,9 => UNS * INC # E3: 2 # A3: 8,9 => UNS * INC # E3: 2 # H1: 4,6 => UNS * INC # E3: 2 # H1: 8 => UNS * INC # E3: 2 # F2: 6,9 => UNS * INC # E3: 2 # F2: 1,3 => UNS * INC # E3: 2 => UNS * INC # E6: 2 # H1: 4,6 => UNS * INC # E6: 2 # H1: 8 => UNS * INC # E6: 2 # D3: 3,7 => UNS * INC # E6: 2 # F3: 3,7 => UNS * INC # E6: 2 # E5: 3,7 => UNS * INC # E6: 2 # E8: 3,7 => UNS * INC # E6: 2 # E9: 3,7 => UNS * INC # E6: 2 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E6,F6: 2..:
* INC # F6: 2 # B1: 8,9 => UNS * INC # F6: 2 # A3: 8,9 => UNS * INC # F6: 2 # H1: 4,6 => UNS * INC # F6: 2 # H1: 8 => UNS * INC # F6: 2 # F2: 6,9 => UNS * INC # F6: 2 # F2: 1,3 => UNS * INC # F6: 2 => UNS * INC # E6: 2 # H1: 4,6 => UNS * INC # E6: 2 # H1: 8 => UNS * INC # E6: 2 # D3: 3,7 => UNS * INC # E6: 2 # F3: 3,7 => UNS * INC # E6: 2 # E5: 3,7 => UNS * INC # E6: 2 # E8: 3,7 => UNS * INC # E6: 2 # E9: 3,7 => UNS * INC # E6: 2 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G8,I8: 5..:
* INC # G8: 5 # H1: 4,6 => UNS * INC # G8: 5 # H1: 8 => UNS * INC # G8: 5 # G5: 1,4 => UNS * PRF # G8: 5 # H6: 1,4 => SOL * STA # G8: 5 + H6: 1,4 * CNT 4 HDP CHAINS / 5 HYP OPENED