Analysis of xx-ph-01269915-13_12-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.76.5..7....5.....58.....6.9..84...4.....3.....4...8..8..97....6..78.....2....1 initial
Autosolve
position: 98.76.5..7....5.8...58.....6.9..84..84.....3.....4...8..8..97....6..78.....28...1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for D7,F9: 6..:
* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9 * CNT 1 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for B8,B9: 9..:
* DIS # B9: 9 # E5: 1,2 => CTR => E5: 5,7,9 * CNT 1 HDP CHAINS / 39 HYP OPENED
List of important HDP chains detected for B9,C9: 7..:
* DIS # C9: 7 # E5: 1,2 => CTR => E5: 5,7,9 * CNT 1 HDP CHAINS / 34 HYP OPENED
List of important HDP chains detected for E4,E5: 7..:
* DIS # E4: 7 # I5: 2,5 => CTR => I5: 6,7,9 * DIS # E4: 7 + I5: 6,7,9 # H6: 2,5 => CTR => H6: 1,6,7,9 * CNT 2 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:26.860523
List of important HDP chains detected for D7,F9: 6..:
* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9 * DIS # F9: 6 + E5: 5,7,9 # E4: 1,2 # E2: 1,3 => CTR => E2: 2,9 * PRF # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 # E3: 1,3 => SOL * STA # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 + E3: 1,3 * CNT 3 HDP CHAINS / 35 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.....58.....6.9..84...4.....3.....4...8..8..97....6..78.....2....1 | initial |
| 98.76.5..7....5.8...58.....6.9..84..84.....3.....4...8..8..97....6..78.....28...1 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,B3: 6.. / B2 = 6 => 0 pairs (_) / B3 = 6 => 0 pairs (_) D7,F9: 6.. / D7 = 6 => 1 pairs (_) / F9 = 6 => 2 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) E4,E5: 7.. / E4 = 7 => 1 pairs (_) / E5 = 7 => 1 pairs (_) B9,C9: 7.. / B9 = 7 => 1 pairs (_) / C9 = 7 => 1 pairs (_) B8,B9: 9.. / B8 = 9 => 0 pairs (_) / B9 = 9 => 2 pairs (_) * DURATION: 0:00:03.937312 START: 06:14:43.898395 END: 06:14:47.835707 2020-11-01 * CP COUNT: (6) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D7,F9: 6.. / D7 = 6 ==> 1 pairs (_) / F9 = 6 ==> 2 pairs (_) B8,B9: 9.. / B8 = 9 ==> 0 pairs (_) / B9 = 9 ==> 2 pairs (_) B9,C9: 7.. / B9 = 7 ==> 1 pairs (_) / C9 = 7 ==> 1 pairs (_) E4,E5: 7.. / E4 = 7 ==> 2 pairs (_) / E5 = 7 ==> 1 pairs (_) H3,I3: 7.. / H3 = 7 ==> 1 pairs (_) / I3 = 7 ==> 1 pairs (_) B2,B3: 6.. / B2 = 6 ==> 0 pairs (_) / B3 = 6 ==> 0 pairs (_) * DURATION: 0:01:15.860255 START: 06:14:47.836296 END: 06:16:03.696551 2020-11-01 * REASONING D7,F9: 6.. * DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9 * CNT 1 HDP CHAINS / 39 HYP OPENED * REASONING B8,B9: 9.. * DIS # B9: 9 # E5: 1,2 => CTR => E5: 5,7,9 * CNT 1 HDP CHAINS / 39 HYP OPENED * REASONING B9,C9: 7.. * DIS # C9: 7 # E5: 1,2 => CTR => E5: 5,7,9 * CNT 1 HDP CHAINS / 34 HYP OPENED * REASONING E4,E5: 7.. * DIS # E4: 7 # I5: 2,5 => CTR => I5: 6,7,9 * DIS # E4: 7 + I5: 6,7,9 # H6: 2,5 => CTR => H6: 1,6,7,9 * CNT 2 HDP CHAINS / 28 HYP OPENED * DCP COUNT: (6) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D7,F9: 6.. / D7 = 6 => 0 pairs (X) / F9 = 6 ==> 0 pairs (*) * DURATION: 0:00:26.859141 START: 06:16:03.779010 END: 06:16:30.638151 2020-11-01 * REASONING D7,F9: 6.. * DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9 * DIS # F9: 6 + E5: 5,7,9 # E4: 1,2 # E2: 1,3 => CTR => E2: 2,9 * PRF # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 # E3: 1,3 => SOL * STA # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 + E3: 1,3 * CNT 3 HDP CHAINS / 35 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1269915;13_12;GP;25;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,F9: 6..:
* INC # F9: 6 # E4: 1,2 => UNS * DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9 * INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS * INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS * INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 => UNS * INC # D7: 6 # D8: 3,4 => UNS * INC # D7: 6 # D8: 1,5 => UNS * INC # D7: 6 # A9: 3,4 => UNS * INC # D7: 6 # C9: 3,4 => UNS * INC # D7: 6 # F1: 3,4 => UNS * INC # D7: 6 # F3: 3,4 => UNS * INC # D7: 6 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for B8,B9: 9..:
* INC # B9: 9 # B4: 1,2 => UNS * INC # B9: 9 # A6: 1,2 => UNS * INC # B9: 9 # B6: 1,2 => UNS * INC # B9: 9 # C6: 1,2 => UNS * DIS # B9: 9 # E5: 1,2 => CTR => E5: 5,7,9 * INC # B9: 9 + E5: 5,7,9 # F5: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # G5: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C1: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C2: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # B4: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # A6: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # B6: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C6: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # F5: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # G5: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C1: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C2: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # I7: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # I7: 2,4,5 => UNS * INC # B9: 9 + E5: 5,7,9 # F9: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # F9: 4 => UNS * INC # B9: 9 + E5: 5,7,9 # G2: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # G3: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # B4: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # A6: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # B6: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C6: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # F5: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # G5: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C1: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # C2: 1,2 => UNS * INC # B9: 9 + E5: 5,7,9 # I7: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # I7: 2,4,5 => UNS * INC # B9: 9 + E5: 5,7,9 # F9: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # F9: 4 => UNS * INC # B9: 9 + E5: 5,7,9 # G2: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 # G3: 3,6 => UNS * INC # B9: 9 + E5: 5,7,9 => UNS * INC # B8: 9 => UNS * CNT 39 HDP CHAINS / 39 HYP OPENED
Full list of HDP chains traversed for B9,C9: 7..:
* INC # B9: 7 # A7: 3,4 => UNS * INC # B9: 7 # A8: 3,4 => UNS * INC # B9: 7 # A9: 3,4 => UNS * INC # B9: 7 # F9: 3,4 => UNS * INC # B9: 7 # F9: 6 => UNS * INC # B9: 7 # C1: 3,4 => UNS * INC # B9: 7 # C2: 3,4 => UNS * INC # B9: 7 => UNS * INC # C9: 7 # B4: 1,2 => UNS * INC # C9: 7 # A6: 1,2 => UNS * INC # C9: 7 # B6: 1,2 => UNS * INC # C9: 7 # C6: 1,2 => UNS * DIS # C9: 7 # E5: 1,2 => CTR => E5: 5,7,9 * INC # C9: 7 + E5: 5,7,9 # F5: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # G5: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C1: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C2: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # B4: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # A6: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # B6: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C6: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # F5: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # G5: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C1: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C2: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # B4: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # A6: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # B6: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C6: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # F5: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # G5: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C1: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 # C2: 1,2 => UNS * INC # C9: 7 + E5: 5,7,9 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for E4,E5: 7..:
* INC # E4: 7 # H4: 2,5 => UNS * DIS # E4: 7 # I5: 2,5 => CTR => I5: 6,7,9 * DIS # E4: 7 + I5: 6,7,9 # H6: 2,5 => CTR => H6: 1,6,7,9 * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 2,5 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 1 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I7: 2,5 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I8: 2,5 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D6: 1,3 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # F6: 1,3 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # B4: 1,3 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # B4: 2 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D2: 1,3 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D7: 1,3 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D8: 1,3 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 2,5 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 1 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I7: 2,5 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I8: 2,5 => UNS * INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 => UNS * INC # E5: 7 # B4: 1,2 => UNS * INC # E5: 7 # A6: 1,2 => UNS * INC # E5: 7 # B6: 1,2 => UNS * INC # E5: 7 # C6: 1,2 => UNS * INC # E5: 7 # F5: 1,2 => UNS * INC # E5: 7 # G5: 1,2 => UNS * INC # E5: 7 # C1: 1,2 => UNS * INC # E5: 7 # C2: 1,2 => UNS * INC # E5: 7 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 # B4: 1,2 => UNS * INC # H3: 7 # A6: 1,2 => UNS * INC # H3: 7 # B6: 1,2 => UNS * INC # H3: 7 # C6: 1,2 => UNS * INC # H3: 7 # E5: 1,2 => UNS * INC # H3: 7 # F5: 1,2 => UNS * INC # H3: 7 # G5: 1,2 => UNS * INC # H3: 7 # C1: 1,2 => UNS * INC # H3: 7 # C2: 1,2 => UNS * INC # H3: 7 => UNS * INC # I3: 7 # H4: 2,5 => UNS * INC # I3: 7 # I5: 2,5 => UNS * INC # I3: 7 # H6: 2,5 => UNS * INC # I3: 7 # B4: 2,5 => UNS * INC # I3: 7 # E4: 2,5 => UNS * INC # I3: 7 # I7: 2,5 => UNS * INC # I3: 7 # I8: 2,5 => UNS * INC # I3: 7 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for B2,B3: 6..:
* INC # B2: 6 => UNS * INC # B3: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,F9: 6..:
* INC # F9: 6 # E4: 1,2 => UNS * DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9 * INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS * INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS * INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS * INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS * DIS # F9: 6 + E5: 5,7,9 # E4: 1,2 # E2: 1,3 => CTR => E2: 2,9 * PRF # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 # E3: 1,3 => SOL * STA # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 + E3: 1,3 * CNT 33 HDP CHAINS / 35 HYP OPENED