Analysis of xx-ph-00038236-12_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. initial
Autosolve
position: 98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for D4,D5: 9..:
* DIS # D4: 9 # H6: 3,7 => CTR => H6: 6,8,9 * CNT 1 HDP CHAINS / 24 HYP OPENED
List of important HDP chains detected for E5,E6: 7..:
* DIS # E6: 7 # B4: 2,9 => CTR => B4: 1,4,7 * CNT 1 HDP CHAINS / 38 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:37.270259
List of important HDP chains detected for B6,H6: 9..:
* PRF # H6: 9 # B4: 2,7 # A3: 1,5 => SOL * STA # H6: 9 # B4: 2,7 + A3: 1,5 * CNT 1 HDP CHAINS / 26 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
| 98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. | initial |
| 98.7.......6.5.9.......9.4.6...8.5...3...5..2..51....4.6..9.3....3..7......2...1. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,G5: 1.. / I4 = 1 => 0 pairs (_) / G5 = 1 => 1 pairs (_) F7,E8: 1.. / F7 = 1 => 1 pairs (_) / E8 = 1 => 1 pairs (_) A2,A3: 3.. / A2 = 3 => 1 pairs (_) / A3 = 3 => 1 pairs (_) E9,F9: 3.. / E9 = 3 => 0 pairs (_) / F9 = 3 => 3 pairs (_) G8,G9: 4.. / G8 = 4 => 1 pairs (_) / G9 = 4 => 1 pairs (_) A3,B3: 5.. / A3 = 5 => 1 pairs (_) / B3 = 5 => 0 pairs (_) H1,I1: 5.. / H1 = 5 => 0 pairs (_) / I1 = 5 => 1 pairs (_) D7,D8: 5.. / D7 = 5 => 1 pairs (_) / D8 = 5 => 1 pairs (_) E5,E6: 7.. / E5 = 7 => 0 pairs (_) / E6 = 7 => 4 pairs (_) D4,D5: 9.. / D4 = 9 => 4 pairs (_) / D5 = 9 => 1 pairs (_) B6,H6: 9.. / B6 = 9 => 0 pairs (_) / H6 = 9 => 6 pairs (_) * DURATION: 0:00:10.110267 START: 04:58:58.976952 END: 04:59:09.087219 2020-12-17 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B6,H6: 9.. / B6 = 9 ==> 0 pairs (_) / H6 = 9 ==> 6 pairs (_) D4,D5: 9.. / D4 = 9 ==> 5 pairs (_) / D5 = 9 ==> 1 pairs (_) E5,E6: 7.. / E5 = 7 ==> 0 pairs (_) / E6 = 7 ==> 4 pairs (_) E9,F9: 3.. / E9 = 3 ==> 0 pairs (_) / F9 = 3 ==> 3 pairs (_) D7,D8: 5.. / D7 = 5 ==> 1 pairs (_) / D8 = 5 ==> 1 pairs (_) G8,G9: 4.. / G8 = 4 ==> 1 pairs (_) / G9 = 4 ==> 1 pairs (_) A2,A3: 3.. / A2 = 3 ==> 1 pairs (_) / A3 = 3 ==> 1 pairs (_) F7,E8: 1.. / F7 = 1 ==> 1 pairs (_) / E8 = 1 ==> 1 pairs (_) H1,I1: 5.. / H1 = 5 ==> 0 pairs (_) / I1 = 5 ==> 1 pairs (_) A3,B3: 5.. / A3 = 5 ==> 1 pairs (_) / B3 = 5 ==> 0 pairs (_) I4,G5: 1.. / I4 = 1 ==> 0 pairs (_) / G5 = 1 ==> 1 pairs (_) * DURATION: 0:01:41.681275 START: 04:59:09.088169 END: 05:00:50.769444 2020-12-17 * REASONING D4,D5: 9.. * DIS # D4: 9 # H6: 3,7 => CTR => H6: 6,8,9 * CNT 1 HDP CHAINS / 24 HYP OPENED * REASONING E5,E6: 7.. * DIS # E6: 7 # B4: 2,9 => CTR => B4: 1,4,7 * CNT 1 HDP CHAINS / 38 HYP OPENED * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B6,H6: 9.. / B6 = 9 => 0 pairs (X) / H6 = 9 ==> 0 pairs (*) * DURATION: 0:00:37.269064 START: 05:00:50.892780 END: 05:01:28.161844 2020-12-17 * REASONING B6,H6: 9.. * PRF # H6: 9 # B4: 2,7 # A3: 1,5 => SOL * STA # H6: 9 # B4: 2,7 + A3: 1,5 * CNT 1 HDP CHAINS / 26 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
38236;12_07;GP;24;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,H6: 9..:
* INC # H6: 9 # B4: 2,7 => UNS * INC # H6: 9 # C4: 2,7 => UNS * INC # H6: 9 # A6: 2,7 => UNS * INC # H6: 9 # E6: 2,7 => UNS * INC # H6: 9 # E6: 3,6 => UNS * INC # H6: 9 # B2: 2,7 => UNS * INC # H6: 9 # B3: 2,7 => UNS * INC # H6: 9 # D5: 4,9 => UNS * INC # H6: 9 # D5: 6 => UNS * INC # H6: 9 # B4: 4,9 => UNS * INC # H6: 9 # C4: 4,9 => UNS * INC # H6: 9 # B4: 2,4 => UNS * INC # H6: 9 # C4: 2,4 => UNS * INC # H6: 9 # F1: 2,4 => UNS * INC # H6: 9 # F2: 2,4 => UNS * INC # H6: 9 # I4: 3,7 => UNS * INC # H6: 9 # I4: 1 => UNS * INC # H6: 9 => UNS * INC # B6: 9 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for D4,D5: 9..:
* INC # D4: 9 # E5: 4,6 => UNS * INC # D4: 9 # E5: 7 => UNS * INC # D4: 9 # D8: 4,6 => UNS * INC # D4: 9 # D8: 5,8 => UNS * INC # D4: 9 # I4: 3,7 => UNS * DIS # D4: 9 # H6: 3,7 => CTR => H6: 6,8,9 * INC # D4: 9 + H6: 6,8,9 # I4: 3,7 => UNS * INC # D4: 9 + H6: 6,8,9 # I4: 1 => UNS * INC # D4: 9 + H6: 6,8,9 # B4: 2,4 => UNS * INC # D4: 9 + H6: 6,8,9 # C4: 2,4 => UNS * INC # D4: 9 + H6: 6,8,9 # F1: 2,4 => UNS * INC # D4: 9 + H6: 6,8,9 # F2: 2,4 => UNS * INC # D4: 9 + H6: 6,8,9 # E5: 4,6 => UNS * INC # D4: 9 + H6: 6,8,9 # E5: 7 => UNS * INC # D4: 9 + H6: 6,8,9 # D8: 4,6 => UNS * INC # D4: 9 + H6: 6,8,9 # D8: 5,8 => UNS * INC # D4: 9 + H6: 6,8,9 # I4: 3,7 => UNS * INC # D4: 9 + H6: 6,8,9 # I4: 1 => UNS * INC # D4: 9 + H6: 6,8,9 => UNS * INC # D5: 9 # F4: 3,4 => UNS * INC # D5: 9 # F4: 2 => UNS * INC # D5: 9 # D2: 3,4 => UNS * INC # D5: 9 # D2: 8 => UNS * INC # D5: 9 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for E5,E6: 7..:
* INC # E6: 7 # A7: 2,8 => UNS * INC # E6: 7 # A8: 2,8 => UNS * DIS # E6: 7 # B4: 2,9 => CTR => B4: 1,4,7 * INC # E6: 7 + B4: 1,4,7 # C4: 2,9 => UNS * INC # E6: 7 + B4: 1,4,7 # C4: 2,9 => UNS * INC # E6: 7 + B4: 1,4,7 # C4: 1,4,7 => UNS * INC # E6: 7 + B4: 1,4,7 # B8: 2,9 => UNS * INC # E6: 7 + B4: 1,4,7 # B8: 1,4,5 => UNS * INC # E6: 7 + B4: 1,4,7 # D5: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # D5: 9 => UNS * INC # E6: 7 + B4: 1,4,7 # E1: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # E8: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # E9: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # G5: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # H5: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # H6: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # G3: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # G8: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # G9: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # A7: 2,8 => UNS * INC # E6: 7 + B4: 1,4,7 # A8: 2,8 => UNS * INC # E6: 7 + B4: 1,4,7 # C4: 2,9 => UNS * INC # E6: 7 + B4: 1,4,7 # C4: 1,4,7 => UNS * INC # E6: 7 + B4: 1,4,7 # B8: 2,9 => UNS * INC # E6: 7 + B4: 1,4,7 # B8: 1,4,5 => UNS * INC # E6: 7 + B4: 1,4,7 # D5: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # D5: 9 => UNS * INC # E6: 7 + B4: 1,4,7 # E1: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # E8: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # E9: 4,6 => UNS * INC # E6: 7 + B4: 1,4,7 # G5: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # H5: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # H6: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # G3: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # G8: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 # G9: 6,8 => UNS * INC # E6: 7 + B4: 1,4,7 => UNS * INC # E5: 7 => UNS * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for E9,F9: 3..:
* INC # F9: 3 # B4: 2,4 => UNS * INC # F9: 3 # C4: 2,4 => UNS * INC # F9: 3 # F1: 2,4 => UNS * INC # F9: 3 # F2: 2,4 => UNS * INC # F9: 3 # E6: 2,6 => UNS * INC # F9: 3 # E6: 3,7 => UNS * INC # F9: 3 # F1: 2,6 => UNS * INC # F9: 3 # F1: 1,4 => UNS * INC # F9: 3 # D8: 4,6 => UNS * INC # F9: 3 # E8: 4,6 => UNS * INC # F9: 3 # G9: 4,6 => UNS * INC # F9: 3 # G9: 7,8 => UNS * INC # F9: 3 # E1: 4,6 => UNS * INC # F9: 3 # E5: 4,6 => UNS * INC # F9: 3 => UNS * INC # E9: 3 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for D7,D8: 5..:
* INC # D7: 5 # H7: 7,8 => UNS * INC # D7: 5 # G9: 7,8 => UNS * INC # D7: 5 # I9: 7,8 => UNS * INC # D7: 5 # A7: 7,8 => UNS * INC # D7: 5 # C7: 7,8 => UNS * INC # D7: 5 # I2: 7,8 => UNS * INC # D7: 5 # I3: 7,8 => UNS * INC # D7: 5 => UNS * INC # D8: 5 # F7: 4,8 => UNS * INC # D8: 5 # F9: 4,8 => UNS * INC # D8: 5 # A7: 4,8 => UNS * INC # D8: 5 # C7: 4,8 => UNS * INC # D8: 5 # D2: 4,8 => UNS * INC # D8: 5 # D2: 3 => UNS * INC # D8: 5 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for G8,G9: 4..:
* INC # G8: 4 # E1: 1,6 => UNS * INC # G8: 4 # E3: 1,6 => UNS * INC # G8: 4 => UNS * INC # G9: 4 # F9: 3,6 => UNS * INC # G9: 4 # F9: 8 => UNS * INC # G9: 4 # E1: 3,6 => UNS * INC # G9: 4 # E3: 3,6 => UNS * INC # G9: 4 # E6: 3,6 => UNS * INC # G9: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A2,A3: 3..:
* INC # A2: 3 # F2: 4,8 => UNS * INC # A2: 3 # F2: 1,2 => UNS * INC # A2: 3 # D7: 4,8 => UNS * INC # A2: 3 # D8: 4,8 => UNS * INC # A2: 3 => UNS * INC # A3: 3 # G3: 6,8 => UNS * INC # A3: 3 # I3: 6,8 => UNS * INC # A3: 3 # D8: 6,8 => UNS * INC # A3: 3 # D8: 4,5 => UNS * INC # A3: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F7,E8: 1..:
* INC # F7: 1 # D8: 4,6 => UNS * INC # F7: 1 # E9: 4,6 => UNS * INC # F7: 1 # F9: 4,6 => UNS * INC # F7: 1 # G8: 4,6 => UNS * INC # F7: 1 # G8: 2,8 => UNS * INC # F7: 1 # E1: 4,6 => UNS * INC # F7: 1 # E5: 4,6 => UNS * INC # F7: 1 => UNS * INC # E8: 1 # D7: 4,8 => UNS * INC # E8: 1 # D8: 4,8 => UNS * INC # E8: 1 # F9: 4,8 => UNS * INC # E8: 1 # A7: 4,8 => UNS * INC # E8: 1 # C7: 4,8 => UNS * INC # E8: 1 # F2: 4,8 => UNS * INC # E8: 1 # F2: 1,2,3 => UNS * INC # E8: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for H1,I1: 5..:
* INC # I1: 5 # H7: 7,8 => UNS * INC # I1: 5 # G9: 7,8 => UNS * INC # I1: 5 # I9: 7,8 => UNS * INC # I1: 5 # A7: 7,8 => UNS * INC # I1: 5 # C7: 7,8 => UNS * INC # I1: 5 # I2: 7,8 => UNS * INC # I1: 5 # I3: 7,8 => UNS * INC # I1: 5 => UNS * INC # H1: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A3,B3: 5..:
* INC # A3: 5 # F2: 4,8 => UNS * INC # A3: 5 # F2: 1,2 => UNS * INC # A3: 5 # D7: 4,8 => UNS * INC # A3: 5 # D8: 4,8 => UNS * INC # A3: 5 => UNS * INC # B3: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I4,G5: 1..:
* INC # G5: 1 # H1: 2,6 => UNS * INC # G5: 1 # G3: 2,6 => UNS * INC # G5: 1 # E1: 2,6 => UNS * INC # G5: 1 # F1: 2,6 => UNS * INC # G5: 1 # G8: 2,6 => UNS * INC # G5: 1 # G8: 4,8 => UNS * INC # G5: 1 => UNS * INC # I4: 1 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,H6: 9..:
* INC # H6: 9 # B4: 2,7 => UNS * INC # H6: 9 # C4: 2,7 => UNS * INC # H6: 9 # A6: 2,7 => UNS * INC # H6: 9 # E6: 2,7 => UNS * INC # H6: 9 # E6: 3,6 => UNS * INC # H6: 9 # B2: 2,7 => UNS * INC # H6: 9 # B3: 2,7 => UNS * INC # H6: 9 # D5: 4,9 => UNS * INC # H6: 9 # D5: 6 => UNS * INC # H6: 9 # B4: 4,9 => UNS * INC # H6: 9 # C4: 4,9 => UNS * INC # H6: 9 # B4: 2,4 => UNS * INC # H6: 9 # C4: 2,4 => UNS * INC # H6: 9 # F1: 2,4 => UNS * INC # H6: 9 # F2: 2,4 => UNS * INC # H6: 9 # I4: 3,7 => UNS * INC # H6: 9 # I4: 1 => UNS * INC # H6: 9 # B4: 2,7 # C1: 1,4 => UNS * INC # H6: 9 # B4: 2,7 # A2: 1,4 => UNS * INC # H6: 9 # B4: 2,7 # F2: 1,4 => UNS * INC # H6: 9 # B4: 2,7 # F2: 2,8 => UNS * INC # H6: 9 # B4: 2,7 # B8: 1,4 => UNS * INC # H6: 9 # B4: 2,7 # B8: 5,9 => UNS * PRF # H6: 9 # B4: 2,7 # A3: 1,5 => SOL * STA # H6: 9 # B4: 2,7 + A3: 1,5 * CNT 24 HDP CHAINS / 26 HYP OPENED