Analysis of xx-ph-00039139-12_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....7.5..9......9..74.....32..2..4......85....6.3...1.....68....9......16. initial
Autosolve
position: 98.7..6....7.5..9......9..74.....32..2..4......85....6.3...1.....68....9......16. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for A9,I9: 8..:
* DIS # I9: 8 # B4: 1,5 => CTR => B4: 6,7,9 * DIS # I9: 8 + B4: 6,7,9 # C4: 9 => CTR => C4: 1,5 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 # C5: 1,5 => CTR => C5: 3,9 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 3,6,7 => CTR => A5: 1,5 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 # B3: 1,5 => CTR => B3: 4 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 + B3: 4 => CTR => I9: 2,3,4,5 * STA I9: 2,3,4,5 * CNT 6 HDP CHAINS / 13 HYP OPENED
List of important HDP chains detected for A7,A9: 8..:
* DIS # A7: 8 # B4: 1,5 => CTR => B4: 6,7,9 * DIS # A7: 8 + B4: 6,7,9 # C4: 9 => CTR => C4: 1,5 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 # C5: 1,5 => CTR => C5: 3,9 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 3,6,7 => CTR => A5: 1,5 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 # B3: 1,5 => CTR => B3: 4 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 + B3: 4 => CTR => A7: 2,5,7 * STA A7: 2,5,7 * CNT 6 HDP CHAINS / 13 HYP OPENED
List of important HDP chains detected for G6,H6: 4..:
* DIS # G6: 4 # I2: 2,8 => CTR => I2: 1,3,4 * CNT 1 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6....7.5..9......9..74.....32..2..4......85....6.3...1.....68....9......16. | initial |
| 98.7..6....7.5..9......9..74.....32..2..4......85....6.3...1.....68....9......16. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 1 pairs (_) / B8 = 1 => 2 pairs (_) E6,F6: 2.. / E6 = 2 => 3 pairs (_) / F6 = 2 => 1 pairs (_) H8,I9: 3.. / H8 = 3 => 1 pairs (_) / I9 = 3 => 0 pairs (_) G6,H6: 4.. / G6 = 4 => 2 pairs (_) / H6 = 4 => 1 pairs (_) F8,F9: 5.. / F8 = 5 => 0 pairs (_) / F9 = 5 => 0 pairs (_) B4,A5: 6.. / B4 = 6 => 4 pairs (_) / A5 = 6 => 0 pairs (_) D7,E7: 6.. / D7 = 6 => 4 pairs (_) / E7 = 6 => 0 pairs (_) F2,E3: 8.. / F2 = 8 => 5 pairs (_) / E3 = 8 => 0 pairs (_) A7,A9: 8.. / A7 = 8 => 6 pairs (_) / A9 = 8 => 0 pairs (_) A9,I9: 8.. / A9 = 8 => 0 pairs (_) / I9 = 8 => 6 pairs (_) E3,E4: 8.. / E3 = 8 => 0 pairs (_) / E4 = 8 => 5 pairs (_) G5,G6: 9.. / G5 = 9 => 1 pairs (_) / G6 = 9 => 1 pairs (_) * DURATION: 0:00:07.173843 START: 00:14:04.539246 END: 00:14:11.713089 2020-12-18 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A9,I9: 8.. / A9 = 8 => 0 pairs (_) / I9 = 8 ==> 0 pairs (X) A7,A9: 8.. / A7 = 8 ==> 0 pairs (X) / A9 = 8 => 0 pairs (_) E3,E4: 8.. / E3 = 8 ==> 0 pairs (_) / E4 = 8 ==> 5 pairs (_) F2,E3: 8.. / F2 = 8 ==> 5 pairs (_) / E3 = 8 ==> 0 pairs (_) D7,E7: 6.. / D7 = 6 ==> 4 pairs (_) / E7 = 6 ==> 0 pairs (_) B4,A5: 6.. / B4 = 6 ==> 4 pairs (_) / A5 = 6 ==> 0 pairs (_) E6,F6: 2.. / E6 = 2 ==> 3 pairs (_) / F6 = 2 ==> 1 pairs (_) G6,H6: 4.. / G6 = 4 ==> 2 pairs (_) / H6 = 4 ==> 1 pairs (_) A8,B8: 1.. / A8 = 1 ==> 1 pairs (_) / B8 = 1 ==> 2 pairs (_) G5,G6: 9.. / G5 = 9 ==> 1 pairs (_) / G6 = 9 ==> 1 pairs (_) H8,I9: 3.. / H8 = 3 ==> 1 pairs (_) / I9 = 3 ==> 0 pairs (_) F8,F9: 5.. / F8 = 5 ==> 0 pairs (_) / F9 = 5 ==> 0 pairs (_) * DURATION: 0:01:35.090962 START: 00:14:11.713701 END: 00:15:46.804663 2020-12-18 * REASONING A9,I9: 8.. * DIS # I9: 8 # B4: 1,5 => CTR => B4: 6,7,9 * DIS # I9: 8 + B4: 6,7,9 # C4: 9 => CTR => C4: 1,5 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 # C5: 1,5 => CTR => C5: 3,9 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 3,6,7 => CTR => A5: 1,5 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 # B3: 1,5 => CTR => B3: 4 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 + B3: 4 => CTR => I9: 2,3,4,5 * STA I9: 2,3,4,5 * CNT 6 HDP CHAINS / 13 HYP OPENED * REASONING A7,A9: 8.. * DIS # A7: 8 # B4: 1,5 => CTR => B4: 6,7,9 * DIS # A7: 8 + B4: 6,7,9 # C4: 9 => CTR => C4: 1,5 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 # C5: 1,5 => CTR => C5: 3,9 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 3,6,7 => CTR => A5: 1,5 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 # B3: 1,5 => CTR => B3: 4 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 + B3: 4 => CTR => A7: 2,5,7 * STA A7: 2,5,7 * CNT 6 HDP CHAINS / 13 HYP OPENED * REASONING G6,H6: 4.. * DIS # G6: 4 # I2: 2,8 => CTR => I2: 1,3,4 * CNT 1 HDP CHAINS / 30 HYP OPENED * DCP COUNT: (12) * CLUE FOUND
Header Info
39139;12_07;GP;24;11.30;11.30;10.40
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A9,I9: 8..:
* DIS # I9: 8 # B4: 1,5 => CTR => B4: 6,7,9 * INC # I9: 8 + B4: 6,7,9 # C4: 1,5 => UNS * INC # I9: 8 + B4: 6,7,9 # C4: 1,5 => UNS * DIS # I9: 8 + B4: 6,7,9 # C4: 9 => CTR => C4: 1,5 * INC # I9: 8 + B4: 6,7,9 + C4: 1,5 # G5: 7,8 => UNS * INC # I9: 8 + B4: 6,7,9 + C4: 1,5 # G5: 9 => UNS * INC # I9: 8 + B4: 6,7,9 + C4: 1,5 # A5: 1,5 => UNS * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 # C5: 1,5 => CTR => C5: 3,9 * INC # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 1,5 => UNS * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 3,6,7 => CTR => A5: 1,5 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 # B3: 1,5 => CTR => B3: 4 * DIS # I9: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 + B3: 4 => CTR => I9: 2,3,4,5 * INC I9: 2,3,4,5 # A9: 8 => UNS * STA I9: 2,3,4,5 * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A7,A9: 8..:
* DIS # A7: 8 # B4: 1,5 => CTR => B4: 6,7,9 * INC # A7: 8 + B4: 6,7,9 # C4: 1,5 => UNS * INC # A7: 8 + B4: 6,7,9 # C4: 1,5 => UNS * DIS # A7: 8 + B4: 6,7,9 # C4: 9 => CTR => C4: 1,5 * INC # A7: 8 + B4: 6,7,9 + C4: 1,5 # G5: 7,8 => UNS * INC # A7: 8 + B4: 6,7,9 + C4: 1,5 # G5: 9 => UNS * INC # A7: 8 + B4: 6,7,9 + C4: 1,5 # A5: 1,5 => UNS * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 # C5: 1,5 => CTR => C5: 3,9 * INC # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 1,5 => UNS * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 # A5: 3,6,7 => CTR => A5: 1,5 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 # B3: 1,5 => CTR => B3: 4 * DIS # A7: 8 + B4: 6,7,9 + C4: 1,5 + C5: 3,9 + A5: 1,5 + B3: 4 => CTR => A7: 2,5,7 * INC A7: 2,5,7 # A9: 8 => UNS * STA A7: 2,5,7 * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for E3,E4: 8..:
* INC # E4: 8 # I1: 2,4 => UNS * INC # E4: 8 # I2: 2,4 => UNS * INC # E4: 8 # G3: 2,4 => UNS * INC # E4: 8 # D2: 2,4 => UNS * INC # E4: 8 # D2: 1,3,6 => UNS * INC # E4: 8 # G7: 2,4 => UNS * INC # E4: 8 # G8: 2,4 => UNS * INC # E4: 8 # A5: 6,7 => UNS * INC # E4: 8 # A5: 1,3,5 => UNS * INC # E4: 8 # D5: 1,9 => UNS * INC # E4: 8 # E6: 1,9 => UNS * INC # E4: 8 # C4: 1,9 => UNS * INC # E4: 8 # C4: 5 => UNS * INC # E4: 8 # F5: 6,7 => UNS * INC # E4: 8 # F5: 3 => UNS * INC # E4: 8 # H5: 1,5 => UNS * INC # E4: 8 # I5: 1,5 => UNS * INC # E4: 8 # C4: 1,5 => UNS * INC # E4: 8 # C4: 9 => UNS * INC # E4: 8 # I1: 1,5 => UNS * INC # E4: 8 # I1: 2,3,4 => UNS * INC # E4: 8 => UNS * INC # E3: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for F2,E3: 8..:
* INC # F2: 8 # I1: 2,4 => UNS * INC # F2: 8 # I2: 2,4 => UNS * INC # F2: 8 # G3: 2,4 => UNS * INC # F2: 8 # D2: 2,4 => UNS * INC # F2: 8 # D2: 1,3,6 => UNS * INC # F2: 8 # G7: 2,4 => UNS * INC # F2: 8 # G8: 2,4 => UNS * INC # F2: 8 # A5: 6,7 => UNS * INC # F2: 8 # A5: 1,3,5 => UNS * INC # F2: 8 # D5: 1,9 => UNS * INC # F2: 8 # E6: 1,9 => UNS * INC # F2: 8 # C4: 1,9 => UNS * INC # F2: 8 # C4: 5 => UNS * INC # F2: 8 # F5: 6,7 => UNS * INC # F2: 8 # F5: 3 => UNS * INC # F2: 8 # H5: 1,5 => UNS * INC # F2: 8 # I5: 1,5 => UNS * INC # F2: 8 # C4: 1,5 => UNS * INC # F2: 8 # C4: 9 => UNS * INC # F2: 8 # I1: 1,5 => UNS * INC # F2: 8 # I1: 2,3,4 => UNS * INC # F2: 8 => UNS * INC # E3: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for D7,E7: 6..:
* INC # D7: 6 # F4: 6,8 => UNS * INC # D7: 6 # F5: 6,8 => UNS * INC # D7: 6 # D5: 1,9 => UNS * INC # D7: 6 # E6: 1,9 => UNS * INC # D7: 6 # B4: 1,9 => UNS * INC # D7: 6 # C4: 1,9 => UNS * INC # D7: 6 # F4: 6,8 => UNS * INC # D7: 6 # F5: 6,8 => UNS * INC # D7: 6 => UNS * INC # E7: 6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B4,A5: 6..:
* INC # B4: 6 # C1: 1,4 => UNS * INC # B4: 6 # B3: 1,4 => UNS * INC # B4: 6 # C3: 1,4 => UNS * INC # B4: 6 # D2: 1,4 => UNS * INC # B4: 6 # I2: 1,4 => UNS * INC # B4: 6 # B8: 1,4 => UNS * INC # B4: 6 # B8: 5,7 => UNS * INC # B4: 6 # E4: 1,9 => UNS * INC # B4: 6 # D5: 1,9 => UNS * INC # B4: 6 # E6: 1,9 => UNS * INC # B4: 6 # C4: 1,9 => UNS * INC # B4: 6 # C4: 5 => UNS * INC # B4: 6 # E4: 7,8 => UNS * INC # B4: 6 # E4: 1,9 => UNS * INC # B4: 6 # E6: 2,3 => UNS * INC # B4: 6 # E6: 1,9 => UNS * INC # B4: 6 # F1: 2,3 => UNS * INC # B4: 6 # F2: 2,3 => UNS * INC # B4: 6 # F8: 2,3 => UNS * INC # B4: 6 # F9: 2,3 => UNS * INC # B4: 6 => UNS * INC # A5: 6 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for E6,F6: 2..:
* INC # E6: 2 # D2: 1,3 => UNS * INC # E6: 2 # D3: 1,3 => UNS * INC # E6: 2 # E3: 1,3 => UNS * INC # E6: 2 # C1: 1,3 => UNS * INC # E6: 2 # H1: 1,3 => UNS * INC # E6: 2 # I1: 1,3 => UNS * INC # E6: 2 # F5: 3,7 => UNS * INC # E6: 2 # F5: 6,8 => UNS * INC # E6: 2 # A6: 3,7 => UNS * INC # E6: 2 # A6: 1 => UNS * INC # E6: 2 # F8: 3,7 => UNS * INC # E6: 2 # F9: 3,7 => UNS * INC # E6: 2 # F8: 3,7 => UNS * INC # E6: 2 # E9: 3,7 => UNS * INC # E6: 2 # F9: 3,7 => UNS * INC # E6: 2 # H8: 3,7 => UNS * INC # E6: 2 # H8: 4,5 => UNS * INC # E6: 2 => UNS * INC # F6: 2 # D2: 3,4 => UNS * INC # F6: 2 # F2: 3,4 => UNS * INC # F6: 2 # D3: 3,4 => UNS * INC # F6: 2 # C1: 3,4 => UNS * INC # F6: 2 # H1: 3,4 => UNS * INC # F6: 2 # I1: 3,4 => UNS * INC # F6: 2 # F8: 3,4 => UNS * INC # F6: 2 # F9: 3,4 => UNS * INC # F6: 2 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for G6,H6: 4..:
* DIS # G6: 4 # I2: 2,8 => CTR => I2: 1,3,4 * INC # G6: 4 + I2: 1,3,4 # G3: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # G3: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # G3: 5 => UNS * INC # G6: 4 + I2: 1,3,4 # F2: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # F2: 3,4,6 => UNS * INC # G6: 4 + I2: 1,3,4 # G7: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # G7: 5,7 => UNS * INC # G6: 4 + I2: 1,3,4 # H5: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # H5: 5,8 => UNS * INC # G6: 4 + I2: 1,3,4 # A6: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # B6: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # E6: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # G3: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # G3: 5 => UNS * INC # G6: 4 + I2: 1,3,4 # F2: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # F2: 3,4,6 => UNS * INC # G6: 4 + I2: 1,3,4 # G7: 2,8 => UNS * INC # G6: 4 + I2: 1,3,4 # G7: 5,7 => UNS * INC # G6: 4 + I2: 1,3,4 # H5: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # H5: 5,8 => UNS * INC # G6: 4 + I2: 1,3,4 # A6: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # B6: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 # E6: 1,7 => UNS * INC # G6: 4 + I2: 1,3,4 => UNS * INC # H6: 4 # G5: 7,9 => UNS * INC # H6: 4 # G5: 5,8 => UNS * INC # H6: 4 # B6: 7,9 => UNS * INC # H6: 4 # E6: 7,9 => UNS * INC # H6: 4 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for A8,B8: 1..:
* INC # B8: 1 # B3: 4,6 => UNS * INC # B8: 1 # B3: 5 => UNS * INC # B8: 1 # D2: 4,6 => UNS * INC # B8: 1 # F2: 4,6 => UNS * INC # B8: 1 # B4: 7,9 => UNS * INC # B8: 1 # B4: 5,6 => UNS * INC # B8: 1 # E6: 7,9 => UNS * INC # B8: 1 # G6: 7,9 => UNS * INC # B8: 1 # B9: 7,9 => UNS * INC # B8: 1 # B9: 4,5 => UNS * INC # B8: 1 => UNS * INC # A8: 1 # A5: 3,7 => UNS * INC # A8: 1 # A5: 5,6 => UNS * INC # A8: 1 # E6: 3,7 => UNS * INC # A8: 1 # F6: 3,7 => UNS * INC # A8: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for G5,G6: 9..:
* INC # G5: 9 # H6: 4,7 => UNS * INC # G5: 9 # H6: 1 => UNS * INC # G5: 9 # G7: 4,7 => UNS * INC # G5: 9 # G8: 4,7 => UNS * INC # G5: 9 => UNS * INC # G6: 9 # B4: 1,7 => UNS * INC # G6: 9 # A6: 1,7 => UNS * INC # G6: 9 # E6: 1,7 => UNS * INC # G6: 9 # E6: 2,3 => UNS * INC # G6: 9 # B8: 1,7 => UNS * INC # G6: 9 # B8: 4,5 => UNS * INC # G6: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for H8,I9: 3..:
* INC # H8: 3 # E7: 2,7 => UNS * INC # H8: 3 # F8: 2,7 => UNS * INC # H8: 3 # E9: 2,7 => UNS * INC # H8: 3 # F9: 2,7 => UNS * INC # H8: 3 # A8: 2,7 => UNS * INC # H8: 3 # G8: 2,7 => UNS * INC # H8: 3 # E6: 2,7 => UNS * INC # H8: 3 # E6: 1,3,9 => UNS * INC # H8: 3 => UNS * INC # I9: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F8,F9: 5..:
* INC # F8: 5 => UNS * INC # F9: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED