Analysis of xx-ph-02236731-2018_12_25-base.sdk
Contents
Original Sudoku
level: very deep
position: 9876..5..6...8..9...47.....57.3....646..5.3....3....5...65..4.......2.61......... initial
Autosolve
position: 9876..5..6...8..9...47..6..57.3....646..5.3....3....5...65..4.......2.61........5 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:45.127230
List of important HDP chains detected for H1,H4: 4..:
* DIS # H1: 4 # E1: 2 # F9: 8,9 => CTR => F9: 3,4,6,7 * PRF # H1: 4 # E1: 2 + F9: 3,4,6,7 # C8: 8,9 => SOL * STA # H1: 4 # E1: 2 + F9: 3,4,6,7 + C8: 8,9 * CNT 2 HDP CHAINS / 49 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
| 9876..5..6...8..9...47.....57.3....646..5.3....3....5...65..4.......2.61......... | initial |
| 9876..5..6...8..9...47..6..57.3....646..5.3....3....5...65..4.......2.61........5 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,I6: 4.. / H4 = 4 => 0 pairs (_) / I6 = 4 => 3 pairs (_) B8,B9: 4.. / B8 = 4 => 2 pairs (_) / B9 = 4 => 0 pairs (_) H1,H4: 4.. / H1 = 4 => 3 pairs (_) / H4 = 4 => 0 pairs (_) F2,F3: 5.. / F2 = 5 => 1 pairs (_) / F3 = 5 => 0 pairs (_) B8,C8: 5.. / B8 = 5 => 1 pairs (_) / C8 = 5 => 1 pairs (_) B3,F3: 5.. / B3 = 5 => 1 pairs (_) / F3 = 5 => 0 pairs (_) C2,C8: 5.. / C2 = 5 => 1 pairs (_) / C8 = 5 => 1 pairs (_) E6,F6: 6.. / E6 = 6 => 0 pairs (_) / F6 = 6 => 0 pairs (_) E9,F9: 6.. / E9 = 6 => 0 pairs (_) / F9 = 6 => 0 pairs (_) E6,E9: 6.. / E6 = 6 => 0 pairs (_) / E9 = 6 => 0 pairs (_) F6,F9: 6.. / F6 = 6 => 0 pairs (_) / F9 = 6 => 0 pairs (_) G2,I2: 7.. / G2 = 7 => 1 pairs (_) / I2 = 7 => 2 pairs (_) H3,I3: 8.. / H3 = 8 => 1 pairs (_) / I3 = 8 => 0 pairs (_) E3,F3: 9.. / E3 = 9 => 0 pairs (_) / F3 = 9 => 1 pairs (_) * DURATION: 0:00:09.131590 START: 08:17:49.911803 END: 08:17:59.043393 2020-09-24 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,H4: 4.. / H1 = 4 ==> 3 pairs (_) / H4 = 4 ==> 0 pairs (_) H4,I6: 4.. / H4 = 4 ==> 0 pairs (_) / I6 = 4 ==> 3 pairs (_) G2,I2: 7.. / G2 = 7 ==> 1 pairs (_) / I2 = 7 ==> 2 pairs (_) B8,B9: 4.. / B8 = 4 ==> 2 pairs (_) / B9 = 4 ==> 0 pairs (_) C2,C8: 5.. / C2 = 5 ==> 1 pairs (_) / C8 = 5 ==> 1 pairs (_) B8,C8: 5.. / B8 = 5 ==> 1 pairs (_) / C8 = 5 ==> 1 pairs (_) E3,F3: 9.. / E3 = 9 ==> 0 pairs (_) / F3 = 9 ==> 1 pairs (_) H3,I3: 8.. / H3 = 8 ==> 1 pairs (_) / I3 = 8 ==> 0 pairs (_) B3,F3: 5.. / B3 = 5 ==> 1 pairs (_) / F3 = 5 ==> 0 pairs (_) F2,F3: 5.. / F2 = 5 ==> 1 pairs (_) / F3 = 5 ==> 0 pairs (_) F6,F9: 6.. / F6 = 6 ==> 0 pairs (_) / F9 = 6 ==> 0 pairs (_) E6,E9: 6.. / E6 = 6 ==> 0 pairs (_) / E9 = 6 ==> 0 pairs (_) E9,F9: 6.. / E9 = 6 ==> 0 pairs (_) / F9 = 6 ==> 0 pairs (_) E6,F6: 6.. / E6 = 6 ==> 0 pairs (_) / F6 = 6 ==> 0 pairs (_) * DURATION: 0:01:10.862976 START: 08:17:59.043989 END: 08:19:09.906965 2020-09-24 * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H1,H4: 4.. / H1 = 4 ==> 0 pairs (*) / H4 = 4 => 0 pairs (X) * DURATION: 0:00:45.123505 START: 08:19:10.073117 END: 08:19:55.196622 2020-09-24 * REASONING H1,H4: 4.. * DIS # H1: 4 # E1: 2 # F9: 8,9 => CTR => F9: 3,4,6,7 * PRF # H1: 4 # E1: 2 + F9: 3,4,6,7 # C8: 8,9 => SOL * STA # H1: 4 # E1: 2 + F9: 3,4,6,7 + C8: 8,9 * CNT 2 HDP CHAINS / 49 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
2236731;2018_12_25;PAQ;26;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H4: 4..:
* INC # H1: 4 # E1: 1,3 => UNS * INC # H1: 4 # E1: 2 => UNS * INC # H1: 4 # F7: 1,3 => UNS * INC # H1: 4 # F9: 1,3 => UNS * INC # H1: 4 # I2: 2,3 => UNS * INC # H1: 4 # H3: 2,3 => UNS * INC # H1: 4 # I3: 2,3 => UNS * INC # H1: 4 # E1: 2,3 => UNS * INC # H1: 4 # E1: 1 => UNS * INC # H1: 4 # I7: 2,3 => UNS * INC # H1: 4 # I7: 7,8,9 => UNS * INC # H1: 4 => UNS * INC # H4: 4 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for H4,I6: 4..:
* INC # I6: 4 # E1: 1,3 => UNS * INC # I6: 4 # E1: 2 => UNS * INC # I6: 4 # F7: 1,3 => UNS * INC # I6: 4 # F9: 1,3 => UNS * INC # I6: 4 # I2: 2,3 => UNS * INC # I6: 4 # H3: 2,3 => UNS * INC # I6: 4 # I3: 2,3 => UNS * INC # I6: 4 # E1: 2,3 => UNS * INC # I6: 4 # E1: 1 => UNS * INC # I6: 4 # I7: 2,3 => UNS * INC # I6: 4 # I7: 7,8,9 => UNS * INC # I6: 4 => UNS * INC # H4: 4 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for G2,I2: 7..:
* INC # I2: 7 # E1: 1,3 => UNS * INC # I2: 7 # F2: 1,3 => UNS * INC # I2: 7 # E3: 1,3 => UNS * INC # I2: 7 # F3: 1,3 => UNS * INC # I2: 7 # H1: 1,3 => UNS * INC # I2: 7 # H1: 2,4 => UNS * INC # I2: 7 # F7: 1,3 => UNS * INC # I2: 7 # F9: 1,3 => UNS * INC # I2: 7 # H1: 1,2 => UNS * INC # I2: 7 # H3: 1,2 => UNS * INC # I2: 7 # B2: 1,2 => UNS * INC # I2: 7 # C2: 1,2 => UNS * INC # I2: 7 # D2: 1,2 => UNS * INC # I2: 7 # G4: 1,2 => UNS * INC # I2: 7 # G6: 1,2 => UNS * INC # I2: 7 => UNS * INC # G2: 7 # I7: 8,9 => UNS * INC # G2: 7 # G9: 8,9 => UNS * INC # G2: 7 # C8: 8,9 => UNS * INC # G2: 7 # D8: 8,9 => UNS * INC # G2: 7 # G4: 8,9 => UNS * INC # G2: 7 # G6: 8,9 => UNS * INC # G2: 7 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for B8,B9: 4..:
* INC # B8: 4 # B2: 1,2 => UNS * INC # B8: 4 # A3: 1,2 => UNS * INC # B8: 4 # B3: 1,2 => UNS * INC # B8: 4 # D2: 1,2 => UNS * INC # B8: 4 # G2: 1,2 => UNS * INC # B8: 4 # C4: 1,2 => UNS * INC # B8: 4 # C5: 1,2 => UNS * INC # B8: 4 # C9: 1,2 => UNS * INC # B8: 4 # F7: 8,9 => UNS * INC # B8: 4 # D9: 8,9 => UNS * INC # B8: 4 # F9: 8,9 => UNS * INC # B8: 4 # G8: 8,9 => UNS * INC # B8: 4 # G8: 7 => UNS * INC # B8: 4 # D5: 8,9 => UNS * INC # B8: 4 # D6: 8,9 => UNS * INC # B8: 4 => UNS * INC # B9: 4 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for C2,C8: 5..:
* INC # C2: 5 # C9: 8,9 => UNS * INC # C2: 5 # C9: 1,2 => UNS * INC # C2: 5 # D8: 8,9 => UNS * INC # C2: 5 # G8: 8,9 => UNS * INC # C2: 5 # C4: 8,9 => UNS * INC # C2: 5 # C5: 8,9 => UNS * INC # C2: 5 => UNS * INC # C8: 5 # B2: 1,2 => UNS * INC # C8: 5 # A3: 1,2 => UNS * INC # C8: 5 # B3: 1,2 => UNS * INC # C8: 5 # D2: 1,2 => UNS * INC # C8: 5 # G2: 1,2 => UNS * INC # C8: 5 # C4: 1,2 => UNS * INC # C8: 5 # C5: 1,2 => UNS * INC # C8: 5 # C9: 1,2 => UNS * INC # C8: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B8,C8: 5..:
* INC # B8: 5 # C9: 8,9 => UNS * INC # B8: 5 # C9: 1,2 => UNS * INC # B8: 5 # D8: 8,9 => UNS * INC # B8: 5 # G8: 8,9 => UNS * INC # B8: 5 # C4: 8,9 => UNS * INC # B8: 5 # C5: 8,9 => UNS * INC # B8: 5 => UNS * INC # C8: 5 # B2: 1,2 => UNS * INC # C8: 5 # A3: 1,2 => UNS * INC # C8: 5 # B3: 1,2 => UNS * INC # C8: 5 # D2: 1,2 => UNS * INC # C8: 5 # G2: 1,2 => UNS * INC # C8: 5 # C4: 1,2 => UNS * INC # C8: 5 # C5: 1,2 => UNS * INC # C8: 5 # C9: 1,2 => UNS * INC # C8: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for E3,F3: 9..:
* INC # F3: 9 # B2: 1,2 => UNS * INC # F3: 9 # A3: 1,2 => UNS * INC # F3: 9 # D2: 1,2 => UNS * INC # F3: 9 # G2: 1,2 => UNS * INC # F3: 9 # C4: 1,2 => UNS * INC # F3: 9 # C5: 1,2 => UNS * INC # F3: 9 # C9: 1,2 => UNS * INC # F3: 9 => UNS * INC # E3: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H3,I3: 8..:
* INC # H3: 8 # H1: 2,3 => UNS * INC # H3: 8 # I1: 2,3 => UNS * INC # H3: 8 # I2: 2,3 => UNS * INC # H3: 8 # A3: 2,3 => UNS * INC # H3: 8 # B3: 2,3 => UNS * INC # H3: 8 # E3: 2,3 => UNS * INC # H3: 8 # I7: 2,3 => UNS * INC # H3: 8 # I7: 7,8,9 => UNS * INC # H3: 8 => UNS * INC # I3: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B3,F3: 5..:
* INC # B3: 5 # B2: 1,2 => UNS * INC # B3: 5 # A3: 1,2 => UNS * INC # B3: 5 # D2: 1,2 => UNS * INC # B3: 5 # G2: 1,2 => UNS * INC # B3: 5 # C4: 1,2 => UNS * INC # B3: 5 # C5: 1,2 => UNS * INC # B3: 5 # C9: 1,2 => UNS * INC # B3: 5 => UNS * INC # F3: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F2,F3: 5..:
* INC # F2: 5 # B2: 1,2 => UNS * INC # F2: 5 # A3: 1,2 => UNS * INC # F2: 5 # D2: 1,2 => UNS * INC # F2: 5 # G2: 1,2 => UNS * INC # F2: 5 # C4: 1,2 => UNS * INC # F2: 5 # C5: 1,2 => UNS * INC # F2: 5 # C9: 1,2 => UNS * INC # F2: 5 => UNS * INC # F3: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F6,F9: 6..:
* INC # F6: 6 => UNS * INC # F9: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E6,E9: 6..:
* INC # E6: 6 => UNS * INC # E9: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E9,F9: 6..:
* INC # E9: 6 => UNS * INC # F9: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E6,F6: 6..:
* INC # E6: 6 => UNS * INC # F6: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H1,H4: 4..:
* INC # H1: 4 # E1: 1,3 => UNS * INC # H1: 4 # E1: 2 => UNS * INC # H1: 4 # F7: 1,3 => UNS * INC # H1: 4 # F9: 1,3 => UNS * INC # H1: 4 # I2: 2,3 => UNS * INC # H1: 4 # H3: 2,3 => UNS * INC # H1: 4 # I3: 2,3 => UNS * INC # H1: 4 # E1: 2,3 => UNS * INC # H1: 4 # E1: 1 => UNS * INC # H1: 4 # I7: 2,3 => UNS * INC # H1: 4 # I7: 7,8,9 => UNS * INC # H1: 4 # E1: 1,3 # E7: 1,3 => UNS * INC # H1: 4 # E1: 1,3 # E9: 1,3 => UNS * INC # H1: 4 # E1: 1,3 # F7: 1,3 => UNS * INC # H1: 4 # E1: 1,3 # F9: 1,3 => UNS * INC # H1: 4 # E1: 1,3 # E4: 2,9 => UNS * INC # H1: 4 # E1: 1,3 # E6: 2,9 => UNS * INC # H1: 4 # E1: 1,3 # G6: 1,7 => UNS * INC # H1: 4 # E1: 1,3 # G6: 2,8,9 => UNS * INC # H1: 4 # E1: 1,3 # I7: 3,7 => UNS * INC # H1: 4 # E1: 1,3 # I7: 8,9 => UNS * INC # H1: 4 # E1: 1,3 # H3: 3,8 => UNS * INC # H1: 4 # E1: 1,3 # H3: 1 => UNS * INC # H1: 4 # E1: 1,3 # I7: 3,8 => UNS * INC # H1: 4 # E1: 1,3 # I7: 7,9 => UNS * INC # H1: 4 # E1: 1,3 => UNS * INC # H1: 4 # E1: 2 # F3: 3,5 => UNS * INC # H1: 4 # E1: 2 # F3: 9 => UNS * INC # H1: 4 # E1: 2 # B2: 3,5 => UNS * INC # H1: 4 # E1: 2 # B2: 1,2 => UNS * INC # H1: 4 # E1: 2 # F3: 3,9 => UNS * INC # H1: 4 # E1: 2 # F3: 5 => UNS * INC # H1: 4 # E1: 2 # E7: 3,9 => UNS * INC # H1: 4 # E1: 2 # E8: 3,9 => UNS * INC # H1: 4 # E1: 2 # E9: 3,9 => UNS * INC # H1: 4 # E1: 2 # G2: 2,7 => UNS * INC # H1: 4 # E1: 2 # G2: 1 => UNS * INC # H1: 4 # E1: 2 # I5: 2,7 => UNS * INC # H1: 4 # E1: 2 # I7: 2,7 => UNS * INC # H1: 4 # E1: 2 # H3: 2,8 => UNS * INC # H1: 4 # E1: 2 # H3: 1 => UNS * INC # H1: 4 # E1: 2 # I5: 2,8 => UNS * INC # H1: 4 # E1: 2 # I7: 2,8 => UNS * INC # H1: 4 # E1: 2 # F7: 8,9 => UNS * INC # H1: 4 # E1: 2 # D9: 8,9 => UNS * DIS # H1: 4 # E1: 2 # F9: 8,9 => CTR => F9: 3,4,6,7 * PRF # H1: 4 # E1: 2 + F9: 3,4,6,7 # C8: 8,9 => SOL * STA # H1: 4 # E1: 2 + F9: 3,4,6,7 + C8: 8,9 * CNT 47 HDP CHAINS / 49 HYP OPENED