Analysis of xx-ph-01627712-14_09-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75..6..9...6......8..5......4...3.....5.7.8....8.5.92...7.9.5.1...1.2... initial
Autosolve
position: 98.7..6..75..6..9...6......87.5......4...3.....5.7.8....8.5792...7.9.5.15..1.2... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for D5,E5: 8..:
* DIS # E5: 8 # H9: 3,4 => CTR => H9: 6,7,8 * CNT 1 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:16.253571
List of important HDP chains detected for B6,B9: 9..:
* DIS # B6: 9 # C4: 1,2 # E1: 3,4 => CTR => E1: 1,2 * PRF # B6: 9 # C4: 1,2 + E1: 1,2 # H1: 3,4 => SOL * STA # B6: 9 # C4: 1,2 + E1: 1,2 + H1: 3,4 * CNT 2 HDP CHAINS / 15 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..75..6..9...6......8..5......4...3.....5.7.8....8.5.92...7.9.5.1...1.2... | initial |
| 98.7..6..75..6..9...6......87.5......4...3.....5.7.8....8.5792...7.9.5.15..1.2... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A7,B7: 1.. / A7 = 1 => 2 pairs (_) / B7 = 1 => 1 pairs (_) A8,B8: 2.. / A8 = 2 => 2 pairs (_) / B8 = 2 => 1 pairs (_) F1,F3: 5.. / F1 = 5 => 0 pairs (_) / F3 = 5 => 1 pairs (_) H5,I5: 5.. / H5 = 5 => 0 pairs (_) / I5 = 5 => 0 pairs (_) D5,E5: 8.. / D5 = 8 => 1 pairs (_) / E5 = 8 => 1 pairs (_) D3,F3: 9.. / D3 = 9 => 0 pairs (_) / F3 = 9 => 0 pairs (_) B9,C9: 9.. / B9 = 9 => 2 pairs (_) / C9 = 9 => 2 pairs (_) B6,B9: 9.. / B6 = 9 => 2 pairs (_) / B9 = 9 => 2 pairs (_) * DURATION: 0:00:05.270591 START: 20:23:31.810394 END: 20:23:37.080985 2020-10-05 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B6,B9: 9.. / B6 = 9 ==> 2 pairs (_) / B9 = 9 ==> 2 pairs (_) B9,C9: 9.. / B9 = 9 ==> 2 pairs (_) / C9 = 9 ==> 2 pairs (_) A8,B8: 2.. / A8 = 2 ==> 2 pairs (_) / B8 = 2 ==> 1 pairs (_) A7,B7: 1.. / A7 = 1 ==> 2 pairs (_) / B7 = 1 ==> 1 pairs (_) D5,E5: 8.. / D5 = 8 ==> 1 pairs (_) / E5 = 8 ==> 1 pairs (_) F1,F3: 5.. / F1 = 5 ==> 0 pairs (_) / F3 = 5 ==> 1 pairs (_) D3,F3: 9.. / D3 = 9 ==> 0 pairs (_) / F3 = 9 ==> 0 pairs (_) H5,I5: 5.. / H5 = 5 ==> 0 pairs (_) / I5 = 5 ==> 0 pairs (_) * DURATION: 0:01:12.855545 START: 20:23:37.081537 END: 20:24:49.937082 2020-10-05 * REASONING D5,E5: 8.. * DIS # E5: 8 # H9: 3,4 => CTR => H9: 6,7,8 * CNT 1 HDP CHAINS / 31 HYP OPENED * DCP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B6,B9: 9.. / B6 = 9 ==> 0 pairs (*) / B9 = 9 => 0 pairs (X) * DURATION: 0:00:16.251075 START: 20:24:50.026620 END: 20:25:06.277695 2020-10-05 * REASONING B6,B9: 9.. * DIS # B6: 9 # C4: 1,2 # E1: 3,4 => CTR => E1: 1,2 * PRF # B6: 9 # C4: 1,2 + E1: 1,2 # H1: 3,4 => SOL * STA # B6: 9 # C4: 1,2 + E1: 1,2 + H1: 3,4 * CNT 2 HDP CHAINS / 15 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1627712;14_09;GP;26;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,B9: 9..:
* INC # B6: 9 # C4: 1,2 => UNS * INC # B6: 9 # A5: 1,2 => UNS * INC # B6: 9 # A6: 1,2 => UNS * INC # B6: 9 # E5: 1,2 => UNS * INC # B6: 9 # G5: 1,2 => UNS * INC # B6: 9 # C1: 1,2 => UNS * INC # B6: 9 # C2: 1,2 => UNS * INC # B6: 9 # B7: 3,6 => UNS * INC # B6: 9 # B8: 3,6 => UNS * INC # B6: 9 # H9: 3,6 => UNS * INC # B6: 9 # I9: 3,6 => UNS * INC # B6: 9 => UNS * INC # B9: 9 # A7: 3,4 => UNS * INC # B9: 9 # A8: 3,4 => UNS * INC # B9: 9 # E9: 3,4 => UNS * INC # B9: 9 # G9: 3,4 => UNS * INC # B9: 9 # H9: 3,4 => UNS * INC # B9: 9 # I9: 3,4 => UNS * INC # B9: 9 # C1: 3,4 => UNS * INC # B9: 9 # C2: 3,4 => UNS * INC # B9: 9 # H8: 3,4 => UNS * INC # B9: 9 # G9: 3,4 => UNS * INC # B9: 9 # H9: 3,4 => UNS * INC # B9: 9 # I9: 3,4 => UNS * INC # B9: 9 # A7: 3,4 => UNS * INC # B9: 9 # D7: 3,4 => UNS * INC # B9: 9 # I1: 3,4 => UNS * INC # B9: 9 # I2: 3,4 => UNS * INC # B9: 9 # I3: 3,4 => UNS * INC # B9: 9 # I4: 3,4 => UNS * INC # B9: 9 # I6: 3,4 => UNS * INC # B9: 9 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for B9,C9: 9..:
* INC # B9: 9 # A7: 3,4 => UNS * INC # B9: 9 # A8: 3,4 => UNS * INC # B9: 9 # E9: 3,4 => UNS * INC # B9: 9 # G9: 3,4 => UNS * INC # B9: 9 # H9: 3,4 => UNS * INC # B9: 9 # I9: 3,4 => UNS * INC # B9: 9 # C1: 3,4 => UNS * INC # B9: 9 # C2: 3,4 => UNS * INC # B9: 9 # H8: 3,4 => UNS * INC # B9: 9 # G9: 3,4 => UNS * INC # B9: 9 # H9: 3,4 => UNS * INC # B9: 9 # I9: 3,4 => UNS * INC # B9: 9 # A7: 3,4 => UNS * INC # B9: 9 # D7: 3,4 => UNS * INC # B9: 9 # I1: 3,4 => UNS * INC # B9: 9 # I2: 3,4 => UNS * INC # B9: 9 # I3: 3,4 => UNS * INC # B9: 9 # I4: 3,4 => UNS * INC # B9: 9 # I6: 3,4 => UNS * INC # B9: 9 => UNS * INC # C9: 9 # C4: 1,2 => UNS * INC # C9: 9 # A5: 1,2 => UNS * INC # C9: 9 # A6: 1,2 => UNS * INC # C9: 9 # E5: 1,2 => UNS * INC # C9: 9 # G5: 1,2 => UNS * INC # C9: 9 # C1: 1,2 => UNS * INC # C9: 9 # C2: 1,2 => UNS * INC # C9: 9 # B7: 3,6 => UNS * INC # C9: 9 # B8: 3,6 => UNS * INC # C9: 9 # H9: 3,6 => UNS * INC # C9: 9 # I9: 3,6 => UNS * INC # C9: 9 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for A8,B8: 2..:
* INC # A8: 2 # A6: 1,6 => UNS * INC # A8: 2 # B6: 1,6 => UNS * INC # A8: 2 # H5: 1,6 => UNS * INC # A8: 2 # H5: 5,7 => UNS * INC # A8: 2 # A7: 1,6 => UNS * INC # A8: 2 # A7: 3,4 => UNS * INC # A8: 2 # A7: 3,6 => UNS * INC # A8: 2 # B7: 3,6 => UNS * INC # A8: 2 # B9: 3,6 => UNS * INC # A8: 2 # D8: 3,6 => UNS * INC # A8: 2 # H8: 3,6 => UNS * INC # A8: 2 # B6: 3,6 => UNS * INC # A8: 2 # B6: 1,2,9 => UNS * INC # A8: 2 => UNS * INC # B8: 2 # C1: 1,3 => UNS * INC # B8: 2 # C2: 1,3 => UNS * INC # B8: 2 # A3: 1,3 => UNS * INC # B8: 2 # E3: 1,3 => UNS * INC # B8: 2 # G3: 1,3 => UNS * INC # B8: 2 # H3: 1,3 => UNS * INC # B8: 2 # B6: 1,3 => UNS * INC # B8: 2 # B7: 1,3 => UNS * INC # B8: 2 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for A7,B7: 1..:
* INC # A7: 1 # A6: 2,6 => UNS * INC # A7: 1 # B6: 2,6 => UNS * INC # A7: 1 # D5: 2,6 => UNS * INC # A7: 1 # I5: 2,6 => UNS * INC # A7: 1 # A8: 2,6 => UNS * INC # A7: 1 # A8: 3,4 => UNS * INC # A7: 1 # A8: 3,6 => UNS * INC # A7: 1 # B8: 3,6 => UNS * INC # A7: 1 # B9: 3,6 => UNS * INC # A7: 1 # D7: 3,6 => UNS * INC # A7: 1 # I7: 3,6 => UNS * INC # A7: 1 # B6: 3,6 => UNS * INC # A7: 1 # B6: 1,2,9 => UNS * INC # A7: 1 => UNS * INC # B7: 1 # C1: 2,3 => UNS * INC # B7: 1 # C2: 2,3 => UNS * INC # B7: 1 # A3: 2,3 => UNS * INC # B7: 1 # D3: 2,3 => UNS * INC # B7: 1 # E3: 2,3 => UNS * INC # B7: 1 # G3: 2,3 => UNS * INC # B7: 1 # I3: 2,3 => UNS * INC # B7: 1 # B6: 2,3 => UNS * INC # B7: 1 # B8: 2,3 => UNS * INC # B7: 1 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for D5,E5: 8..:
* INC # D5: 8 # E4: 1,2 => UNS * INC # D5: 8 # E4: 4 => UNS * INC # D5: 8 # A5: 1,2 => UNS * INC # D5: 8 # C5: 1,2 => UNS * INC # D5: 8 # G5: 1,2 => UNS * INC # D5: 8 # E1: 1,2 => UNS * INC # D5: 8 # E3: 1,2 => UNS * INC # D5: 8 => UNS * INC # E5: 8 # D7: 3,4 => UNS * INC # E5: 8 # D8: 3,4 => UNS * INC # E5: 8 # C9: 3,4 => UNS * INC # E5: 8 # G9: 3,4 => UNS * DIS # E5: 8 # H9: 3,4 => CTR => H9: 6,7,8 * INC # E5: 8 + H9: 6,7,8 # I9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # E1: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # E3: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # D7: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # D8: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # C9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # G9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # I9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # E1: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # E3: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # D7: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # D8: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # C9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # G9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # I9: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # E1: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 # E3: 3,4 => UNS * INC # E5: 8 + H9: 6,7,8 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for F1,F3: 5..:
* INC # F3: 5 # E1: 1,4 => UNS * INC # F3: 5 # F2: 1,4 => UNS * INC # F3: 5 # E3: 1,4 => UNS * INC # F3: 5 # C1: 1,4 => UNS * INC # F3: 5 # H1: 1,4 => UNS * INC # F3: 5 # F4: 1,4 => UNS * INC # F3: 5 # F6: 1,4 => UNS * INC # F3: 5 => UNS * INC # F1: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for D3,F3: 9..:
* INC # D3: 9 => UNS * INC # F3: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H5,I5: 5..:
* INC # H5: 5 => UNS * INC # I5: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,B9: 9..:
* INC # B6: 9 # C4: 1,2 => UNS * INC # B6: 9 # A5: 1,2 => UNS * INC # B6: 9 # A6: 1,2 => UNS * INC # B6: 9 # E5: 1,2 => UNS * INC # B6: 9 # G5: 1,2 => UNS * INC # B6: 9 # C1: 1,2 => UNS * INC # B6: 9 # C2: 1,2 => UNS * INC # B6: 9 # B7: 3,6 => UNS * INC # B6: 9 # B8: 3,6 => UNS * INC # B6: 9 # H9: 3,6 => UNS * INC # B6: 9 # I9: 3,6 => UNS * DIS # B6: 9 # C4: 1,2 # E1: 3,4 => CTR => E1: 1,2 * PRF # B6: 9 # C4: 1,2 + E1: 1,2 # H1: 3,4 => SOL * STA # B6: 9 # C4: 1,2 + E1: 1,2 + H1: 3,4 * CNT 13 HDP CHAINS / 15 HYP OPENED