Analysis of xx-ph-00333592-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1....23.....45...2...3..2.5..6.43.7..8..9.......5.9..4..1....8..7.......6 initial
Autosolve
position: ........1....23.....45...2...3..2.5..6.43.7..8..9.......5.9..4..1....8..7.......6 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for A5,F5: 5..:
* DIS # F5: 5 # G6: 1,6 => CTR => G6: 2,3,4 * CNT 1 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for A5,B6: 5..:
* DIS # B6: 5 # G6: 1,6 => CTR => G6: 2,3,4 * CNT 1 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for A4,A8: 4..:
* DIS # A8: 4 # A5: 1,9 => CTR => A5: 2,5 * CNT 1 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for A8,B9: 4..:
* DIS # A8: 4 # A5: 1,9 => CTR => A5: 2,5 * CNT 1 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for G2,I2: 4..:
* DIS # I2: 4 # G6: 2,3 => CTR => G6: 1,4,6 * DIS # I2: 4 + G6: 1,4,6 # I5: 8,9 => CTR => I5: 2 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 # A5: 1,9 => CTR => A5: 5 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # G6: 1,6 => CTR => G6: 4 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # H1: 3,9 => CTR => H1: 6,7,8 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # A4: 1,9 => CTR => A4: 4 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 # H5: 8 => CTR => H5: 1,9 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 + H5: 1,9 # C6: 2,7 => CTR => C6: 1 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 + H5: 1,9 + C6: 1 => CTR => I2: 5,7,8,9 * STA I2: 5,7,8,9 * CNT 9 HDP CHAINS / 48 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
| ........1....23.....45...2...3..2.5..6.43.7..8..9.......5.9..4..1....8..7.......6 | initial |
| ........1....23.....45...2...3..2.5..6.43.7..8..9.......5.9..4..1....8..7.......6 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,F1: 4.. / E1 = 4 => 0 pairs (_) / F1 = 4 => 1 pairs (_) G2,I2: 4.. / G2 = 4 => 0 pairs (_) / I2 = 4 => 2 pairs (_) A8,B9: 4.. / A8 = 4 => 1 pairs (_) / B9 = 4 => 2 pairs (_) A4,A8: 4.. / A4 = 4 => 2 pairs (_) / A8 = 4 => 1 pairs (_) A5,B6: 5.. / A5 = 5 => 1 pairs (_) / B6 = 5 => 5 pairs (_) I8,G9: 5.. / I8 = 5 => 0 pairs (_) / G9 = 5 => 0 pairs (_) A5,F5: 5.. / A5 = 5 => 1 pairs (_) / F5 = 5 => 5 pairs (_) I2,I8: 5.. / I2 = 5 => 0 pairs (_) / I8 = 5 => 0 pairs (_) F1,F3: 9.. / F1 = 9 => 0 pairs (_) / F3 = 9 => 1 pairs (_) * DURATION: 0:00:05.566661 START: 15:39:33.890643 END: 15:39:39.457304 2020-12-25 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A5,F5: 5.. / A5 = 5 ==> 1 pairs (_) / F5 = 5 ==> 5 pairs (_) A5,B6: 5.. / A5 = 5 ==> 1 pairs (_) / B6 = 5 ==> 5 pairs (_) A4,A8: 4.. / A4 = 4 ==> 2 pairs (_) / A8 = 4 ==> 2 pairs (_) A8,B9: 4.. / A8 = 4 ==> 2 pairs (_) / B9 = 4 ==> 2 pairs (_) G2,I2: 4.. / G2 = 4 => 0 pairs (_) / I2 = 4 ==> 0 pairs (X) F1,F3: 9.. / F1 = 9 ==> 0 pairs (_) / F3 = 9 ==> 1 pairs (_) E1,F1: 4.. / E1 = 4 ==> 0 pairs (_) / F1 = 4 ==> 1 pairs (_) I2,I8: 5.. / I2 = 5 ==> 0 pairs (_) / I8 = 5 ==> 0 pairs (_) I8,G9: 5.. / I8 = 5 ==> 0 pairs (_) / G9 = 5 ==> 0 pairs (_) * DURATION: 0:01:19.232032 START: 15:39:39.457878 END: 15:40:58.689910 2020-12-25 * REASONING A5,F5: 5.. * DIS # F5: 5 # G6: 1,6 => CTR => G6: 2,3,4 * CNT 1 HDP CHAINS / 19 HYP OPENED * REASONING A5,B6: 5.. * DIS # B6: 5 # G6: 1,6 => CTR => G6: 2,3,4 * CNT 1 HDP CHAINS / 19 HYP OPENED * REASONING A4,A8: 4.. * DIS # A8: 4 # A5: 1,9 => CTR => A5: 2,5 * CNT 1 HDP CHAINS / 27 HYP OPENED * REASONING A8,B9: 4.. * DIS # A8: 4 # A5: 1,9 => CTR => A5: 2,5 * CNT 1 HDP CHAINS / 27 HYP OPENED * REASONING G2,I2: 4.. * DIS # I2: 4 # G6: 2,3 => CTR => G6: 1,4,6 * DIS # I2: 4 + G6: 1,4,6 # I5: 8,9 => CTR => I5: 2 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 # A5: 1,9 => CTR => A5: 5 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # G6: 1,6 => CTR => G6: 4 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # H1: 3,9 => CTR => H1: 6,7,8 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # A4: 1,9 => CTR => A4: 4 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 # H5: 8 => CTR => H5: 1,9 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 + H5: 1,9 # C6: 2,7 => CTR => C6: 1 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 + H5: 1,9 + C6: 1 => CTR => I2: 5,7,8,9 * STA I2: 5,7,8,9 * CNT 9 HDP CHAINS / 48 HYP OPENED * DCP COUNT: (9) * CLUE FOUND
Header Info
333592;12_12_03;dob;22;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A5,F5: 5..:
* DIS # F5: 5 # G6: 1,6 => CTR => G6: 2,3,4 * INC # F5: 5 + G6: 2,3,4 # H6: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 # H6: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 # H6: 3 => UNS * INC # F5: 5 + G6: 2,3,4 # D4: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 # E4: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 # H6: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 # H6: 3 => UNS * INC # F5: 5 + G6: 2,3,4 # D4: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 # E4: 1,6 => UNS * INC # F5: 5 + G6: 2,3,4 => UNS * INC # A5: 5 # D4: 1,8 => UNS * INC # A5: 5 # E4: 1,8 => UNS * INC # A5: 5 # H5: 1,8 => UNS * INC # A5: 5 # H5: 9 => UNS * INC # A5: 5 # F3: 1,8 => UNS * INC # A5: 5 # F7: 1,8 => UNS * INC # A5: 5 # F9: 1,8 => UNS * INC # A5: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for A5,B6: 5..:
* DIS # B6: 5 # G6: 1,6 => CTR => G6: 2,3,4 * INC # B6: 5 + G6: 2,3,4 # H6: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 # H6: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 # H6: 3 => UNS * INC # B6: 5 + G6: 2,3,4 # D4: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 # E4: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 # H6: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 # H6: 3 => UNS * INC # B6: 5 + G6: 2,3,4 # D4: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 # E4: 1,6 => UNS * INC # B6: 5 + G6: 2,3,4 => UNS * INC # A5: 5 # D4: 1,8 => UNS * INC # A5: 5 # E4: 1,8 => UNS * INC # A5: 5 # H5: 1,8 => UNS * INC # A5: 5 # H5: 9 => UNS * INC # A5: 5 # F3: 1,8 => UNS * INC # A5: 5 # F7: 1,8 => UNS * INC # A5: 5 # F9: 1,8 => UNS * INC # A5: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for A4,A8: 4..:
* INC # A4: 4 # B1: 7,9 => UNS * INC # A4: 4 # B2: 7,9 => UNS * INC # A4: 4 # B3: 7,9 => UNS * INC # A4: 4 # H5: 8,9 => UNS * INC # A4: 4 # I5: 8,9 => UNS * INC # A4: 4 # I2: 8,9 => UNS * INC # A4: 4 # I3: 8,9 => UNS * INC # A4: 4 => UNS * DIS # A8: 4 # A5: 1,9 => CTR => A5: 2,5 * INC # A8: 4 + A5: 2,5 # C5: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 2 => UNS * INC # A8: 4 + A5: 2,5 # G4: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # G4: 4,6 => UNS * INC # A8: 4 + A5: 2,5 # A2: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # A3: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 2 => UNS * INC # A8: 4 + A5: 2,5 # G4: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # G4: 4,6 => UNS * INC # A8: 4 + A5: 2,5 # A2: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # A3: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # B6: 2,5 => UNS * INC # A8: 4 + A5: 2,5 # B6: 4,7 => UNS * INC # A8: 4 + A5: 2,5 # A1: 2,5 => UNS * INC # A8: 4 + A5: 2,5 # A1: 3,6,9 => UNS * INC # A8: 4 + A5: 2,5 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for A8,B9: 4..:
* INC # B9: 4 # B1: 7,9 => UNS * INC # B9: 4 # B2: 7,9 => UNS * INC # B9: 4 # B3: 7,9 => UNS * INC # B9: 4 # H5: 8,9 => UNS * INC # B9: 4 # I5: 8,9 => UNS * INC # B9: 4 # I2: 8,9 => UNS * INC # B9: 4 # I3: 8,9 => UNS * INC # B9: 4 => UNS * DIS # A8: 4 # A5: 1,9 => CTR => A5: 2,5 * INC # A8: 4 + A5: 2,5 # C5: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 2 => UNS * INC # A8: 4 + A5: 2,5 # G4: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # G4: 4,6 => UNS * INC # A8: 4 + A5: 2,5 # A2: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # A3: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # C5: 2 => UNS * INC # A8: 4 + A5: 2,5 # G4: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # G4: 4,6 => UNS * INC # A8: 4 + A5: 2,5 # A2: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # A3: 1,9 => UNS * INC # A8: 4 + A5: 2,5 # B6: 2,5 => UNS * INC # A8: 4 + A5: 2,5 # B6: 4,7 => UNS * INC # A8: 4 + A5: 2,5 # A1: 2,5 => UNS * INC # A8: 4 + A5: 2,5 # A1: 3,6,9 => UNS * INC # A8: 4 + A5: 2,5 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for G2,I2: 4..:
* INC # I2: 4 # H5: 8,9 => UNS * INC # I2: 4 # I5: 8,9 => UNS * INC # I2: 4 # I3: 8,9 => UNS * INC # I2: 4 # I3: 3,7 => UNS * DIS # I2: 4 # G6: 2,3 => CTR => G6: 1,4,6 * INC # I2: 4 + G6: 1,4,6 # H5: 8,9 => UNS * DIS # I2: 4 + G6: 1,4,6 # I5: 8,9 => CTR => I5: 2 * INC # I2: 4 + G6: 1,4,6 + I5: 2 # H5: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 # H5: 1 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 # H1: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 # H2: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 # B3: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 # F3: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 # A4: 1,9 => UNS * DIS # I2: 4 + G6: 1,4,6 + I5: 2 # A5: 1,9 => CTR => A5: 5 * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # A4: 1,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # A4: 4 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # H5: 1,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # H5: 8 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # C2: 1,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # C2: 6,7,8 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # H5: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # H5: 1 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # G4: 1,6 => UNS * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 # G6: 1,6 => CTR => G6: 4 * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # G4: 1,6 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # G4: 9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # E6: 1,6 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # F6: 1,6 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # G9: 3,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # H9: 3,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # A8: 3,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # A8: 2,4,6 => UNS * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 # H1: 3,9 => CTR => H1: 6,7,8 * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # H9: 3,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # H9: 1 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # A8: 3,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # A8: 2,4,6 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # H2: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # H2: 6,7 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # B3: 8,9 => UNS * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # F3: 8,9 => UNS * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 # A4: 1,9 => CTR => A4: 4 * INC # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 # H5: 1,9 => UNS * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 # H5: 8 => CTR => H5: 1,9 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 + H5: 1,9 # C6: 2,7 => CTR => C6: 1 * DIS # I2: 4 + G6: 1,4,6 + I5: 2 + A5: 5 + G6: 4 + H1: 6,7,8 + A4: 4 + H5: 1,9 + C6: 1 => CTR => I2: 5,7,8,9 * INC I2: 5,7,8,9 # G2: 4 => UNS * STA I2: 5,7,8,9 * CNT 48 HDP CHAINS / 48 HYP OPENED
Full list of HDP chains traversed for F1,F3: 9..:
* INC # F3: 9 # G1: 3,6 => UNS * INC # F3: 9 # H1: 3,6 => UNS * INC # F3: 9 # A3: 3,6 => UNS * INC # F3: 9 # A3: 1 => UNS * INC # F3: 9 # G6: 3,6 => UNS * INC # F3: 9 # G6: 1,2,4 => UNS * INC # F3: 9 => UNS * INC # F1: 9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E1,F1: 4..:
* INC # F1: 4 # G1: 3,6 => UNS * INC # F1: 4 # H1: 3,6 => UNS * INC # F1: 4 # A3: 3,6 => UNS * INC # F1: 4 # A3: 1 => UNS * INC # F1: 4 # G6: 3,6 => UNS * INC # F1: 4 # G6: 1,2,4 => UNS * INC # F1: 4 => UNS * INC # E1: 4 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I2,I8: 5..:
* INC # I2: 5 => UNS * INC # I8: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I8,G9: 5..:
* INC # I8: 5 => UNS * INC # G9: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED