Analysis of xx-ph-01315260-13_12-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.76.5..7....5.9...5......8..4....3.4.6.......7..84..2.81..9....9..76......2..1. initial
Autosolve
position: 98.76.5..7....5.9...5......8..4....3.4.6.......7..84..2.81..9....9..76......2..1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for I5,I6: 9..:
* DIS # I6: 9 # F5: 1,2 => CTR => F5: 3,9 * CNT 1 HDP CHAINS / 15 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:22.038048
List of important HDP chains detected for B7,F7: 6..:
* DIS # B7: 6 # A8: 3,4 # C2: 1,4 => CTR => C2: 6 * DIS # B7: 6 # A8: 3,4 + C2: 6 # F1: 1,4 => CTR => F1: 2,3 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 # I1: 2 => CTR => I1: 1,4 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 + I1: 1,4 # D2: 2,3 => CTR => D2: 8 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 + I1: 1,4 + D2: 8 => CTR => A8: 1,5 * DIS # B7: 6 + A8: 1,5 # B8: 3 => CTR => B8: 1,5 * DIS # B7: 6 + A8: 1,5 + B8: 1,5 # A5: 3 => CTR => A5: 1,5 * PRF # B7: 6 + A8: 1,5 + B8: 1,5 + A5: 1,5 # C1: 3,4 => SOL * STA # B7: 6 + A8: 1,5 + B8: 1,5 + A5: 1,5 + C1: 3,4 * CNT 8 HDP CHAINS / 25 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
| 98.76.5..7....5.9...5......8..4....3.4.6.......7..84..2.81..9....9..76......2..1. | initial |
| 98.76.5..7....5.9...5......8..4....3.4.6.......7..84..2.81..9....9..76......2..1. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 2 pairs (_) / B8 = 1 => 0 pairs (_) H8,I8: 2.. / H8 = 2 => 2 pairs (_) / I8 = 2 => 1 pairs (_) F7,F9: 6.. / F7 = 6 => 0 pairs (_) / F9 = 6 => 3 pairs (_) B7,F7: 6.. / B7 = 6 => 3 pairs (_) / F7 = 6 => 0 pairs (_) E4,E5: 7.. / E4 = 7 => 1 pairs (_) / E5 = 7 => 0 pairs (_) B7,B9: 7.. / B7 = 7 => 1 pairs (_) / B9 = 7 => 1 pairs (_) B4,B6: 9.. / B4 = 9 => 1 pairs (_) / B6 = 9 => 0 pairs (_) I5,I6: 9.. / I5 = 9 => 0 pairs (_) / I6 = 9 => 1 pairs (_) D9,F9: 9.. / D9 = 9 => 0 pairs (_) / F9 = 9 => 1 pairs (_) * DURATION: 0:00:06.033120 START: 08:05:33.257731 END: 08:05:39.290851 2021-01-13 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B7,F7: 6.. / B7 = 6 ==> 3 pairs (_) / F7 = 6 ==> 0 pairs (_) F7,F9: 6.. / F7 = 6 ==> 0 pairs (_) / F9 = 6 ==> 3 pairs (_) H8,I8: 2.. / H8 = 2 ==> 2 pairs (_) / I8 = 2 ==> 1 pairs (_) A8,B8: 1.. / A8 = 1 ==> 2 pairs (_) / B8 = 1 ==> 0 pairs (_) B7,B9: 7.. / B7 = 7 ==> 1 pairs (_) / B9 = 7 ==> 1 pairs (_) D9,F9: 9.. / D9 = 9 ==> 0 pairs (_) / F9 = 9 ==> 1 pairs (_) I5,I6: 9.. / I5 = 9 ==> 0 pairs (_) / I6 = 9 ==> 2 pairs (_) B4,B6: 9.. / B4 = 9 ==> 1 pairs (_) / B6 = 9 ==> 0 pairs (_) E4,E5: 7.. / E4 = 7 ==> 1 pairs (_) / E5 = 7 ==> 0 pairs (_) * DURATION: 0:00:58.039222 START: 08:05:39.291524 END: 08:06:37.330746 2021-01-13 * REASONING I5,I6: 9.. * DIS # I6: 9 # F5: 1,2 => CTR => F5: 3,9 * CNT 1 HDP CHAINS / 15 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B7,F7: 6.. / B7 = 6 ==> 0 pairs (*) / F7 = 6 => 0 pairs (X) * DURATION: 0:00:22.034192 START: 08:06:37.437671 END: 08:06:59.471863 2021-01-13 * REASONING B7,F7: 6.. * DIS # B7: 6 # A8: 3,4 # C2: 1,4 => CTR => C2: 6 * DIS # B7: 6 # A8: 3,4 + C2: 6 # F1: 1,4 => CTR => F1: 2,3 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 # I1: 2 => CTR => I1: 1,4 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 + I1: 1,4 # D2: 2,3 => CTR => D2: 8 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 + I1: 1,4 + D2: 8 => CTR => A8: 1,5 * DIS # B7: 6 + A8: 1,5 # B8: 3 => CTR => B8: 1,5 * DIS # B7: 6 + A8: 1,5 + B8: 1,5 # A5: 3 => CTR => A5: 1,5 * PRF # B7: 6 + A8: 1,5 + B8: 1,5 + A5: 1,5 # C1: 3,4 => SOL * STA # B7: 6 + A8: 1,5 + B8: 1,5 + A5: 1,5 + C1: 3,4 * CNT 8 HDP CHAINS / 25 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1315260;13_12;GP;26;11.30;11.30;10.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,F7: 6..:
* INC # B7: 6 # A8: 3,4 => UNS * INC # B7: 6 # A9: 3,4 => UNS * INC # B7: 6 # C1: 3,4 => UNS * INC # B7: 6 # C2: 3,4 => UNS * INC # B7: 6 # E7: 3,4 => UNS * INC # B7: 6 # E8: 3,4 => UNS * INC # B7: 6 # H7: 3,4 => UNS * INC # B7: 6 # H7: 5,7 => UNS * INC # B7: 6 # F1: 3,4 => UNS * INC # B7: 6 # F3: 3,4 => UNS * INC # B7: 6 # G2: 3,8 => UNS * INC # B7: 6 # G3: 3,8 => UNS * INC # B7: 6 => UNS * INC # F7: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for F7,F9: 6..:
* INC # F9: 6 # A8: 3,4 => UNS * INC # F9: 6 # A9: 3,4 => UNS * INC # F9: 6 # C1: 3,4 => UNS * INC # F9: 6 # C2: 3,4 => UNS * INC # F9: 6 # E7: 3,4 => UNS * INC # F9: 6 # E8: 3,4 => UNS * INC # F9: 6 # H7: 3,4 => UNS * INC # F9: 6 # H7: 5,7 => UNS * INC # F9: 6 # F1: 3,4 => UNS * INC # F9: 6 # F3: 3,4 => UNS * INC # F9: 6 # G2: 3,8 => UNS * INC # F9: 6 # G3: 3,8 => UNS * INC # F9: 6 => UNS * INC # F7: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for H8,I8: 2..:
* INC # H8: 2 # H3: 3,4 => UNS * INC # H8: 2 # H3: 6,7,8 => UNS * INC # H8: 2 # C1: 3,4 => UNS * INC # H8: 2 # F1: 3,4 => UNS * INC # H8: 2 # H7: 3,4 => UNS * INC # H8: 2 # H7: 5,7 => UNS * INC # H8: 2 # H4: 5,6 => UNS * INC # H8: 2 # I6: 5,6 => UNS * INC # H8: 2 # A6: 5,6 => UNS * INC # H8: 2 # B6: 5,6 => UNS * INC # H8: 2 => UNS * INC # I8: 2 # I2: 1,4 => UNS * INC # I8: 2 # I3: 1,4 => UNS * INC # I8: 2 # C1: 1,4 => UNS * INC # I8: 2 # F1: 1,4 => UNS * INC # I8: 2 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A8,B8: 1..:
* INC # A8: 1 # A6: 3,5 => UNS * INC # A8: 1 # B6: 3,5 => UNS * INC # A8: 1 # E5: 3,5 => UNS * INC # A8: 1 # E5: 1,7,9 => UNS * INC # A8: 1 # A9: 3,5 => UNS * INC # A8: 1 # A9: 4,6 => UNS * INC # A8: 1 # B7: 3,5 => UNS * INC # A8: 1 # A9: 3,5 => UNS * INC # A8: 1 # B9: 3,5 => UNS * INC # A8: 1 # D8: 3,5 => UNS * INC # A8: 1 # E8: 3,5 => UNS * INC # A8: 1 # H8: 3,5 => UNS * INC # A8: 1 # B6: 3,5 => UNS * INC # A8: 1 # B6: 1,2,6,9 => UNS * INC # A8: 1 => UNS * INC # B8: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for B7,B9: 7..:
* INC # B7: 7 # H7: 4,5 => UNS * INC # B7: 7 # H8: 4,5 => UNS * INC # B7: 7 # I8: 4,5 => UNS * INC # B7: 7 # I9: 4,5 => UNS * INC # B7: 7 # E7: 4,5 => UNS * INC # B7: 7 # E7: 3 => UNS * INC # B7: 7 => UNS * INC # B9: 7 # H8: 3,8 => UNS * INC # B9: 7 # H8: 2,4,5 => UNS * INC # B9: 7 # D9: 3,8 => UNS * INC # B9: 7 # D9: 5,9 => UNS * INC # B9: 7 # G2: 3,8 => UNS * INC # B9: 7 # G3: 3,8 => UNS * INC # B9: 7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D9,F9: 9..:
* INC # F9: 9 # F5: 1,2 => UNS * INC # F9: 9 # F5: 3 => UNS * INC # F9: 9 # B4: 1,2 => UNS * INC # F9: 9 # C4: 1,2 => UNS * INC # F9: 9 # G4: 1,2 => UNS * INC # F9: 9 # F1: 1,2 => UNS * INC # F9: 9 # F3: 1,2 => UNS * INC # F9: 9 => UNS * INC # D9: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I5,I6: 9..:
* DIS # I6: 9 # F5: 1,2 => CTR => F5: 3,9 * INC # I6: 9 + F5: 3,9 # C4: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # G4: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # F1: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # F3: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # C4: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # G4: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # F1: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # F3: 1,2 => UNS * INC # I6: 9 + F5: 3,9 # E5: 3,9 => UNS * INC # I6: 9 + F5: 3,9 # E5: 1,5,7 => UNS * INC # I6: 9 + F5: 3,9 # F3: 3,9 => UNS * INC # I6: 9 + F5: 3,9 # F9: 3,9 => UNS * INC # I6: 9 + F5: 3,9 => UNS * INC # I5: 9 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for B4,B6: 9..:
* INC # B4: 9 # F5: 1,2 => UNS * INC # B4: 9 # F5: 3,9 => UNS * INC # B4: 9 # C4: 1,2 => UNS * INC # B4: 9 # G4: 1,2 => UNS * INC # B4: 9 # F1: 1,2 => UNS * INC # B4: 9 # F3: 1,2 => UNS * INC # B4: 9 => UNS * INC # B6: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E4,E5: 7..:
* INC # E4: 7 # G5: 1,2 => UNS * INC # E4: 7 # I5: 1,2 => UNS * INC # E4: 7 # I6: 1,2 => UNS * INC # E4: 7 # B4: 1,2 => UNS * INC # E4: 7 # C4: 1,2 => UNS * INC # E4: 7 # F4: 1,2 => UNS * INC # E4: 7 # G2: 1,2 => UNS * INC # E4: 7 # G3: 1,2 => UNS * INC # E4: 7 => UNS * INC # E5: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B7,F7: 6..:
* INC # B7: 6 # A8: 3,4 => UNS * INC # B7: 6 # A9: 3,4 => UNS * INC # B7: 6 # C1: 3,4 => UNS * INC # B7: 6 # C2: 3,4 => UNS * INC # B7: 6 # E7: 3,4 => UNS * INC # B7: 6 # E8: 3,4 => UNS * INC # B7: 6 # H7: 3,4 => UNS * INC # B7: 6 # H7: 5,7 => UNS * INC # B7: 6 # F1: 3,4 => UNS * INC # B7: 6 # F3: 3,4 => UNS * INC # B7: 6 # G2: 3,8 => UNS * INC # B7: 6 # G3: 3,8 => UNS * DIS # B7: 6 # A8: 3,4 # C2: 1,4 => CTR => C2: 6 * DIS # B7: 6 # A8: 3,4 + C2: 6 # F1: 1,4 => CTR => F1: 2,3 * INC # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 # I1: 1,4 => UNS * INC # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 # I1: 1,4 => UNS * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 # I1: 2 => CTR => I1: 1,4 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 + I1: 1,4 # D2: 2,3 => CTR => D2: 8 * DIS # B7: 6 # A8: 3,4 + C2: 6 + F1: 2,3 + I1: 1,4 + D2: 8 => CTR => A8: 1,5 * INC # B7: 6 + A8: 1,5 # B8: 1,5 => UNS * DIS # B7: 6 + A8: 1,5 # B8: 3 => CTR => B8: 1,5 * INC # B7: 6 + A8: 1,5 + B8: 1,5 # A5: 1,5 => UNS * DIS # B7: 6 + A8: 1,5 + B8: 1,5 # A5: 3 => CTR => A5: 1,5 * PRF # B7: 6 + A8: 1,5 + B8: 1,5 + A5: 1,5 # C1: 3,4 => SOL * STA # B7: 6 + A8: 1,5 + B8: 1,5 + A5: 1,5 + C1: 3,4 * CNT 24 HDP CHAINS / 25 HYP OPENED