Analysis of xx-ph-00845072-13_02-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 initial
Autosolve
position: 98.7..6..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:29.147611
List of important HDP chains detected for I2,I7: 9..:
* DIS # I7: 9 # G4: 5,7 # E1: 2,5 => CTR => E1: 1,3,4 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 # F1: 2,5 => CTR => F1: 1,4 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # F4: 1,4 => CTR => F4: 8 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 # C1: 1,4 => CTR => C1: 2,3 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 + C1: 2,3 => CTR => G4: 1 * DIS # I7: 9 + G4: 1 # G3: 3,7 => CTR => G3: 5 * DIS # I7: 9 + G4: 1 + G3: 5 # C9: 4,7 => CTR => C9: 9 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 8 => CTR => E7: 3,4 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 # C1: 3,4 => CTR => C1: 2 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 + C1: 2 => CTR => I7: 2,3,4,5,6 * STA I7: 2,3,4,5,6 * CNT 10 HDP CHAINS / 41 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...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 | initial |
| 98.7..6..5...6......6..9.4.36.9...2...8.7.9.......34...1...7.....5.9.8.....2....1 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D8,F8: 1.. / D8 = 1 => 1 pairs (_) / F8 = 1 => 0 pairs (_) F5,E6: 2.. / F5 = 2 => 2 pairs (_) / E6 = 2 => 1 pairs (_) H5,I5: 3.. / H5 = 3 => 3 pairs (_) / I5 = 3 => 1 pairs (_) I7,I8: 4.. / I7 = 4 => 0 pairs (_) / I8 = 4 => 1 pairs (_) B5,B6: 5.. / B5 = 5 => 1 pairs (_) / B6 = 5 => 1 pairs (_) A7,A9: 8.. / A7 = 8 => 0 pairs (_) / A9 = 8 => 0 pairs (_) H2,H6: 8.. / H2 = 8 => 0 pairs (_) / H6 = 8 => 1 pairs (_) H2,I2: 9.. / H2 = 9 => 4 pairs (_) / I2 = 9 => 0 pairs (_) B6,C6: 9.. / B6 = 9 => 1 pairs (_) / C6 = 9 => 0 pairs (_) B6,B9: 9.. / B6 = 9 => 1 pairs (_) / B9 = 9 => 0 pairs (_) I2,I7: 9.. / I2 = 9 => 0 pairs (_) / I7 = 9 => 4 pairs (_) * DURATION: 0:00:06.862343 START: 09:28:15.651030 END: 09:28:22.513373 2021-01-01 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I2,I7: 9.. / I2 = 9 ==> 0 pairs (_) / I7 = 9 ==> 4 pairs (_) H2,I2: 9.. / H2 = 9 ==> 4 pairs (_) / I2 = 9 ==> 0 pairs (_) H5,I5: 3.. / H5 = 3 ==> 3 pairs (_) / I5 = 3 ==> 1 pairs (_) F5,E6: 2.. / F5 = 2 ==> 2 pairs (_) / E6 = 2 ==> 1 pairs (_) B5,B6: 5.. / B5 = 5 ==> 1 pairs (_) / B6 = 5 ==> 1 pairs (_) B6,B9: 9.. / B6 = 9 ==> 1 pairs (_) / B9 = 9 ==> 0 pairs (_) B6,C6: 9.. / B6 = 9 ==> 1 pairs (_) / C6 = 9 ==> 0 pairs (_) H2,H6: 8.. / H2 = 8 ==> 0 pairs (_) / H6 = 8 ==> 1 pairs (_) I7,I8: 4.. / I7 = 4 ==> 0 pairs (_) / I8 = 4 ==> 1 pairs (_) D8,F8: 1.. / D8 = 1 ==> 1 pairs (_) / F8 = 1 ==> 0 pairs (_) A7,A9: 8.. / A7 = 8 ==> 0 pairs (_) / A9 = 8 ==> 0 pairs (_) * DURATION: 0:01:01.092631 START: 09:28:22.513979 END: 09:29:23.606610 2021-01-01 * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I2,I7: 9.. / I2 = 9 => 0 pairs (_) / I7 = 9 ==> 0 pairs (X) * DURATION: 0:00:29.143409 START: 09:29:23.753765 END: 09:29:52.897174 2021-01-01 * REASONING I2,I7: 9.. * DIS # I7: 9 # G4: 5,7 # E1: 2,5 => CTR => E1: 1,3,4 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 # F1: 2,5 => CTR => F1: 1,4 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # F4: 1,4 => CTR => F4: 8 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 # C1: 1,4 => CTR => C1: 2,3 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 + C1: 2,3 => CTR => G4: 1 * DIS # I7: 9 + G4: 1 # G3: 3,7 => CTR => G3: 5 * DIS # I7: 9 + G4: 1 + G3: 5 # C9: 4,7 => CTR => C9: 9 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 8 => CTR => E7: 3,4 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 # C1: 3,4 => CTR => C1: 2 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 + C1: 2 => CTR => I7: 2,3,4,5,6 * STA I7: 2,3,4,5,6 * CNT 10 HDP CHAINS / 41 HYP OPENED * VDCP COUNT: (1) * CLUE FOUND
Header Info
845072;13_02;GP;25;11.30;11.10;7.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I2,I7: 9..:
* INC # I7: 9 # G4: 5,7 => UNS * INC # I7: 9 # I6: 5,7 => UNS * INC # I7: 9 # I3: 5,7 => UNS * INC # I7: 9 # I3: 2,3,8 => UNS * INC # I7: 9 # B9: 3,4 => UNS * INC # I7: 9 # C9: 3,4 => UNS * INC # I7: 9 # D7: 3,4 => UNS * INC # I7: 9 # E7: 3,4 => UNS * INC # I7: 9 # C1: 3,4 => UNS * INC # I7: 9 # C2: 3,4 => UNS * INC # I7: 9 # D8: 1,6 => UNS * INC # I7: 9 # D8: 3 => UNS * INC # I7: 9 # F5: 1,6 => UNS * INC # I7: 9 # F5: 2,4,5 => UNS * INC # I7: 9 # H7: 3,5 => UNS * INC # I7: 9 # H9: 3,5 => UNS * INC # I7: 9 # E9: 3,5 => UNS * INC # I7: 9 # E9: 4,8 => UNS * INC # I7: 9 # G3: 3,5 => UNS * INC # I7: 9 # G3: 1,7 => UNS * INC # I7: 9 => UNS * INC # I2: 9 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H2,I2: 9..:
* INC # H2: 9 # G4: 5,7 => UNS * INC # H2: 9 # I6: 5,7 => UNS * INC # H2: 9 # I3: 5,7 => UNS * INC # H2: 9 # I3: 2,3,8 => UNS * INC # H2: 9 # B9: 3,4 => UNS * INC # H2: 9 # C9: 3,4 => UNS * INC # H2: 9 # D7: 3,4 => UNS * INC # H2: 9 # E7: 3,4 => UNS * INC # H2: 9 # C1: 3,4 => UNS * INC # H2: 9 # C2: 3,4 => UNS * INC # H2: 9 # D8: 1,6 => UNS * INC # H2: 9 # D8: 3 => UNS * INC # H2: 9 # F5: 1,6 => UNS * INC # H2: 9 # F5: 2,4,5 => UNS * INC # H2: 9 # H7: 3,5 => UNS * INC # H2: 9 # H9: 3,5 => UNS * INC # H2: 9 # E9: 3,5 => UNS * INC # H2: 9 # E9: 4,8 => UNS * INC # H2: 9 # G3: 3,5 => UNS * INC # H2: 9 # G3: 1,7 => UNS * INC # H2: 9 => UNS * INC # I2: 9 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H5,I5: 3..:
* INC # H5: 3 # G3: 1,5 => UNS * INC # H5: 3 # G3: 2,3,7 => UNS * INC # H5: 3 # E1: 1,5 => UNS * INC # H5: 3 # F1: 1,5 => UNS * INC # H5: 3 # H6: 1,5 => UNS * INC # H5: 3 # H6: 6,7,8 => UNS * INC # H5: 3 # H6: 5,6 => UNS * INC # H5: 3 # I6: 5,6 => UNS * INC # H5: 3 # D5: 5,6 => UNS * INC # H5: 3 # F5: 5,6 => UNS * INC # H5: 3 # I7: 5,6 => UNS * INC # H5: 3 # I7: 2,3,4,9 => UNS * INC # H5: 3 # I8: 6,7 => UNS * INC # H5: 3 # H9: 6,7 => UNS * INC # H5: 3 # A8: 6,7 => UNS * INC # H5: 3 # A8: 2,4 => UNS * INC # H5: 3 # H6: 6,7 => UNS * INC # H5: 3 # H6: 1,5,8 => UNS * INC # H5: 3 => UNS * INC # I5: 3 # G3: 2,5 => UNS * INC # I5: 3 # I3: 2,5 => UNS * INC # I5: 3 # E1: 2,5 => UNS * INC # I5: 3 # F1: 2,5 => UNS * INC # I5: 3 # I7: 2,5 => UNS * INC # I5: 3 # I7: 4,6,9 => UNS * INC # I5: 3 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for F5,E6: 2..:
* INC # F5: 2 # C4: 1,4 => UNS * INC # F5: 2 # C4: 7 => UNS * INC # F5: 2 # D5: 1,4 => UNS * INC # F5: 2 # D5: 5,6 => UNS * INC # F5: 2 # D5: 4,5 => UNS * INC # F5: 2 # D5: 1,6 => UNS * INC # F5: 2 => UNS * INC # E6: 2 # C4: 1,7 => UNS * INC # E6: 2 # C6: 1,7 => UNS * INC # E6: 2 # H6: 1,7 => UNS * INC # E6: 2 # H6: 5,6,8 => UNS * INC # E6: 2 # A3: 1,7 => UNS * INC # E6: 2 # A3: 2 => UNS * INC # E6: 2 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B5,B6: 5..:
* INC # B5: 5 # H5: 3,6 => UNS * INC # B5: 5 # H5: 1 => UNS * INC # B5: 5 # I7: 3,6 => UNS * INC # B5: 5 # I8: 3,6 => UNS * INC # B5: 5 => UNS * INC # B6: 5 # A5: 2,4 => UNS * INC # B6: 5 # A5: 1 => UNS * INC # B6: 5 # F5: 2,4 => UNS * INC # B6: 5 # F5: 1,5,6 => UNS * INC # B6: 5 # B2: 2,4 => UNS * INC # B6: 5 # B8: 2,4 => UNS * INC # B6: 5 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for B6,B9: 9..:
* INC # B6: 9 # H5: 3,6 => UNS * INC # B6: 9 # H5: 1 => UNS * INC # B6: 9 # I7: 3,6 => UNS * INC # B6: 9 # I8: 3,6 => UNS * INC # B6: 9 => UNS * INC # B9: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for B6,C6: 9..:
* INC # B6: 9 # H5: 3,6 => UNS * INC # B6: 9 # H5: 1 => UNS * INC # B6: 9 # I7: 3,6 => UNS * INC # B6: 9 # I8: 3,6 => UNS * INC # B6: 9 => UNS * INC # C6: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H2,H6: 8..:
* INC # H6: 8 # G4: 5,7 => UNS * INC # H6: 8 # I6: 5,7 => UNS * INC # H6: 8 # I3: 5,7 => UNS * INC # H6: 8 # I3: 2,3,8 => UNS * INC # H6: 8 => UNS * INC # H2: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I7,I8: 4..:
* INC # I8: 4 # D8: 1,6 => UNS * INC # I8: 4 # D8: 3 => UNS * INC # I8: 4 # F5: 1,6 => UNS * INC # I8: 4 # F5: 2,4,5 => UNS * INC # I8: 4 => UNS * INC # I7: 4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D8,F8: 1..:
* INC # D8: 1 # D7: 4,6 => UNS * INC # D8: 1 # F9: 4,6 => UNS * INC # D8: 1 # A8: 4,6 => UNS * INC # D8: 1 # I8: 4,6 => UNS * INC # D8: 1 # F5: 4,6 => UNS * INC # D8: 1 # F5: 1,2,5 => UNS * INC # D8: 1 => UNS * INC # F8: 1 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A7,A9: 8..:
* INC # A7: 8 => UNS * INC # A9: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I2,I7: 9..:
* INC # I7: 9 # G4: 5,7 => UNS * INC # I7: 9 # I6: 5,7 => UNS * INC # I7: 9 # I3: 5,7 => UNS * INC # I7: 9 # I3: 2,3,8 => UNS * INC # I7: 9 # B9: 3,4 => UNS * INC # I7: 9 # C9: 3,4 => UNS * INC # I7: 9 # D7: 3,4 => UNS * INC # I7: 9 # E7: 3,4 => UNS * INC # I7: 9 # C1: 3,4 => UNS * INC # I7: 9 # C2: 3,4 => UNS * INC # I7: 9 # D8: 1,6 => UNS * INC # I7: 9 # D8: 3 => UNS * INC # I7: 9 # F5: 1,6 => UNS * INC # I7: 9 # F5: 2,4,5 => UNS * INC # I7: 9 # H7: 3,5 => UNS * INC # I7: 9 # H9: 3,5 => UNS * INC # I7: 9 # E9: 3,5 => UNS * INC # I7: 9 # E9: 4,8 => UNS * INC # I7: 9 # G3: 3,5 => UNS * INC # I7: 9 # G3: 1,7 => UNS * INC # I7: 9 # G4: 5,7 # G3: 3,5 => UNS * INC # I7: 9 # G4: 5,7 # G3: 1,7 => UNS * INC # I7: 9 # G4: 5,7 # E1: 3,5 => UNS * INC # I7: 9 # G4: 5,7 # E1: 1,2,4 => UNS * INC # I7: 9 # G4: 5,7 # H7: 3,5 => UNS * INC # I7: 9 # G4: 5,7 # H9: 3,5 => UNS * INC # I7: 9 # G4: 5,7 # I3: 2,5 => UNS * INC # I7: 9 # G4: 5,7 # I3: 7,8 => UNS * DIS # I7: 9 # G4: 5,7 # E1: 2,5 => CTR => E1: 1,3,4 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 # F1: 2,5 => CTR => F1: 1,4 * INC # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # E4: 1,4 => UNS * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 # F4: 1,4 => CTR => F4: 8 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 # C1: 1,4 => CTR => C1: 2,3 * DIS # I7: 9 # G4: 5,7 + E1: 1,3,4 + F1: 1,4 + F4: 8 + C1: 2,3 => CTR => G4: 1 * DIS # I7: 9 + G4: 1 # G3: 3,7 => CTR => G3: 5 * DIS # I7: 9 + G4: 1 + G3: 5 # C9: 4,7 => CTR => C9: 9 * INC # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 3,4 => UNS * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 # E7: 8 => CTR => E7: 3,4 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 # C1: 3,4 => CTR => C1: 2 * DIS # I7: 9 + G4: 1 + G3: 5 + C9: 9 + E7: 3,4 + C1: 2 => CTR => I7: 2,3,4,5,6 * INC I7: 2,3,4,5,6 # I2: 9 => UNS * STA I7: 2,3,4,5,6 * CNT 41 HDP CHAINS / 41 HYP OPENED