Analysis of xx-ph-00000098-L8-base.sdk
Original Sudoku
level: very deep
position: ....5..8.4....9..3...2..1...6...3.....18...3.93......7..2...5...7...4..66..5..... initial
Autosolve
position: ....5..8.4....9..3...2..1...6...3.....18...3.93......7..2...5...7...4..66..5..... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:14.107410
List of important HDP chains detected for F5,F6: 5..:
* PRF # F5: 5 # A4: 2,7 # A7: 1,3 => SOL * STA # F5: 5 # A4: 2,7 + A7: 1,3 * CNT 1 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| ....5..8.4....9..3...2..1...6...3.....18...3.93......7..2...5...7...4..66..5..... | initial |
| ....5..8.4....9..3...2..1...6...3.....18...3.93......7..2...5...7...4..66..5..... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) D1: 3,4 E3: 3,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D1,E3: 3.. / D1 = 3 => 2 pairs (_) / E3 = 3 => 2 pairs (_) G8,G9: 3.. / G8 = 3 => 3 pairs (_) / G9 = 3 => 2 pairs (_) D1,E3: 4.. / D1 = 4 => 2 pairs (_) / E3 = 4 => 2 pairs (_) F5,F6: 5.. / F5 = 5 => 4 pairs (_) / F6 = 5 => 3 pairs (_) A8,C8: 5.. / A8 = 5 => 3 pairs (_) / C8 = 5 => 3 pairs (_) E2,F3: 8.. / E2 = 8 => 3 pairs (_) / F3 = 8 => 3 pairs (_) C6,G6: 8.. / C6 = 8 => 2 pairs (_) / G6 = 8 => 3 pairs (_) * DURATION: 0:00:05.345842 START: 02:15:45.183559 END: 02:15:50.529401 2020-09-23 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F5,F6: 5.. / F5 = 5 ==> 4 pairs (_) / F6 = 5 ==> 3 pairs (_) E2,F3: 8.. / E2 = 8 ==> 3 pairs (_) / F3 = 8 ==> 3 pairs (_) A8,C8: 5.. / A8 = 5 ==> 3 pairs (_) / C8 = 5 ==> 3 pairs (_) C6,G6: 8.. / C6 = 8 ==> 2 pairs (_) / G6 = 8 ==> 3 pairs (_) G8,G9: 3.. / G8 = 3 ==> 3 pairs (_) / G9 = 3 ==> 2 pairs (_) D1,E3: 4.. / D1 = 4 ==> 2 pairs (_) / E3 = 4 ==> 2 pairs (_) D1,E3: 3.. / D1 = 3 ==> 2 pairs (_) / E3 = 3 ==> 2 pairs (_) * DURATION: 0:00:58.952442 START: 02:15:51.315419 END: 02:16:50.267861 2020-09-23 * DCP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F5,F6: 5.. / F5 = 5 ==> 0 pairs (*) / F6 = 5 => 0 pairs (X) * DURATION: 0:00:14.105923 START: 02:16:50.348692 END: 02:17:04.454615 2020-09-23 * REASONING F5,F6: 5.. * PRF # F5: 5 # A4: 2,7 # A7: 1,3 => SOL * STA # F5: 5 # A4: 2,7 + A7: 1,3 * CNT 1 HDP CHAINS / 12 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
98;L8;elev;22;11.60;11.60;3.40
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F5,F6: 5..:
* INC # F5: 5 # A4: 2,7 => UNS * INC # F5: 5 # A4: 5,8 => UNS * INC # F5: 5 # E5: 2,7 => UNS * INC # F5: 5 # E5: 4,6,9 => UNS * INC # F5: 5 # A1: 2,7 => UNS * INC # F5: 5 # A1: 1,3 => UNS * INC # F5: 5 # E5: 2,4 => UNS * INC # F5: 5 # G5: 2,4 => UNS * INC # F5: 5 # I5: 2,4 => UNS * INC # F5: 5 => UNS * INC # F6: 5 # C4: 4,8 => UNS * INC # F6: 5 # C4: 5,7 => UNS * INC # F6: 5 # G6: 4,8 => UNS * INC # F6: 5 # G6: 2,6 => UNS * INC # F6: 5 # C9: 4,8 => UNS * INC # F6: 5 # C9: 3,9 => UNS * INC # F6: 5 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for E2,F3: 8..:
* INC # E2: 8 # F1: 6,7 => UNS * INC # E2: 8 # D2: 6,7 => UNS * INC # E2: 8 # C3: 6,7 => UNS * INC # E2: 8 # H3: 6,7 => UNS * INC # E2: 8 # F5: 6,7 => UNS * INC # E2: 8 # F7: 6,7 => UNS * INC # E2: 8 => UNS * INC # F3: 8 # C3: 5,9 => UNS * INC # F3: 8 # C3: 3,6,7 => UNS * INC # F3: 8 # H3: 5,9 => UNS * INC # F3: 8 # I3: 5,9 => UNS * INC # F3: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A8,C8: 5..:
* INC # A8: 5 # A4: 2,7 => UNS * INC # A8: 5 # A4: 8 => UNS * INC # A8: 5 # E5: 2,7 => UNS * INC # A8: 5 # F5: 2,7 => UNS * INC # A8: 5 # A1: 2,7 => UNS * INC # A8: 5 # A1: 1,3 => UNS * INC # A8: 5 => UNS * INC # C8: 5 # C4: 4,8 => UNS * INC # C8: 5 # C4: 7 => UNS * INC # C8: 5 # G6: 4,8 => UNS * INC # C8: 5 # G6: 2,6 => UNS * INC # C8: 5 # C9: 4,8 => UNS * INC # C8: 5 # C9: 3,9 => UNS * INC # C8: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for C6,G6: 8..:
* INC # G6: 8 # C4: 4,5 => UNS * INC # G6: 8 # B5: 4,5 => UNS * INC # G6: 8 # H6: 4,5 => UNS * INC # G6: 8 # H6: 1,2,6 => UNS * INC # G6: 8 => UNS * INC # C6: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for G8,G9: 3..:
* INC # G8: 3 # D7: 1,9 => UNS * INC # G8: 3 # E7: 1,9 => UNS * INC # G8: 3 # E8: 1,9 => UNS * INC # G8: 3 # E9: 1,9 => UNS * INC # G8: 3 # H8: 1,9 => UNS * INC # G8: 3 # H8: 2 => UNS * INC # G8: 3 # D4: 1,9 => UNS * INC # G8: 3 # D4: 4,7 => UNS * INC # G8: 3 => UNS * INC # G9: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D1,E3: 4..:
* INC # D1: 4 # G1: 2,9 => UNS * INC # D1: 4 # G1: 6,7 => UNS * INC # D1: 4 # B1: 2,9 => UNS * INC # D1: 4 # B1: 1 => UNS * INC # D1: 4 # I4: 2,9 => UNS * INC # D1: 4 # I5: 2,9 => UNS * INC # D1: 4 # I9: 2,9 => UNS * INC # D1: 4 # E6: 1,6 => UNS * INC # D1: 4 # F6: 1,6 => UNS * INC # D1: 4 # H6: 1,6 => UNS * INC # D1: 4 # H6: 2,4,5 => UNS * INC # D1: 4 # D2: 1,6 => UNS * INC # D1: 4 # D7: 1,6 => UNS * INC # D1: 4 => UNS * INC # E3: 4 # H3: 5,9 => UNS * INC # E3: 4 # H3: 6,7 => UNS * INC # E3: 4 # B3: 5,9 => UNS * INC # E3: 4 # C3: 5,9 => UNS * INC # E3: 4 # I4: 5,9 => UNS * INC # E3: 4 # I5: 5,9 => UNS * INC # E3: 4 # D7: 1,9 => UNS * INC # E3: 4 # E7: 1,9 => UNS * INC # E3: 4 # E8: 1,9 => UNS * INC # E3: 4 # E9: 1,9 => UNS * INC # E3: 4 # H8: 1,9 => UNS * INC # E3: 4 # H8: 2 => UNS * INC # E3: 4 # D4: 1,9 => UNS * INC # E3: 4 # D4: 4,7 => UNS * INC # E3: 4 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for D1,E3: 3..:
* INC # D1: 3 # H3: 5,9 => UNS * INC # D1: 3 # H3: 6,7 => UNS * INC # D1: 3 # B3: 5,9 => UNS * INC # D1: 3 # C3: 5,9 => UNS * INC # D1: 3 # I4: 5,9 => UNS * INC # D1: 3 # I5: 5,9 => UNS * INC # D1: 3 # D7: 1,9 => UNS * INC # D1: 3 # E7: 1,9 => UNS * INC # D1: 3 # E8: 1,9 => UNS * INC # D1: 3 # E9: 1,9 => UNS * INC # D1: 3 # H8: 1,9 => UNS * INC # D1: 3 # H8: 2 => UNS * INC # D1: 3 # D4: 1,9 => UNS * INC # D1: 3 # D4: 4,7 => UNS * INC # D1: 3 => UNS * INC # E3: 3 # G1: 2,9 => UNS * INC # E3: 3 # G1: 6,7 => UNS * INC # E3: 3 # B1: 2,9 => UNS * INC # E3: 3 # B1: 1 => UNS * INC # E3: 3 # I4: 2,9 => UNS * INC # E3: 3 # I5: 2,9 => UNS * INC # E3: 3 # I9: 2,9 => UNS * INC # E3: 3 # E6: 1,6 => UNS * INC # E3: 3 # F6: 1,6 => UNS * INC # E3: 3 # H6: 1,6 => UNS * INC # E3: 3 # H6: 2,4,5 => UNS * INC # E3: 3 # D2: 1,6 => UNS * INC # E3: 3 # D7: 1,6 => UNS * INC # E3: 3 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F5,F6: 5..:
* INC # F5: 5 # A4: 2,7 => UNS * INC # F5: 5 # A4: 5,8 => UNS * INC # F5: 5 # E5: 2,7 => UNS * INC # F5: 5 # E5: 4,6,9 => UNS * INC # F5: 5 # A1: 2,7 => UNS * INC # F5: 5 # A1: 1,3 => UNS * INC # F5: 5 # E5: 2,4 => UNS * INC # F5: 5 # G5: 2,4 => UNS * INC # F5: 5 # I5: 2,4 => UNS * PRF # F5: 5 # A4: 2,7 # A7: 1,3 => SOL * STA # F5: 5 # A4: 2,7 + A7: 1,3 * CNT 10 HDP CHAINS / 12 HYP OPENED