Analysis of xx-ph-00000976-H227-base.sdk
Contents
Original Sudoku
level: deep
position: 9876.....65....7............4..6..3...57..6.......2..1..89..5......1..4......3..2 initial
Autosolve
position: 9876.....65....7............4..6..3...57..6.......2..1..89..5......1..4......3..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000019
List of important HDP chains detected for G4,H5: 2..:
* DIS # H5: 2 # G6: 8,9 => CTR => G6: 4 * DIS # H5: 2 + G6: 4 # G3: 8,9 => CTR => G3: 1,2,3 * DIS # H5: 2 + G6: 4 + G3: 1,2,3 # H3: 1,5 => CTR => H3: 6,8,9 * CNT 3 HDP CHAINS / 53 HYP OPENED
List of important HDP chains detected for I5,G6: 4..:
* DIS # I5: 4 # G4: 8,9 => CTR => G4: 2 * PRF # I5: 4 + G4: 2 # G3: 8,9 => SOL * STA # I5: 4 + G4: 2 + G3: 8,9 * CNT 2 HDP CHAINS / 9 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
| 9876.....65....7............4..6..3...57..6.......2..1..89..5......1..4......3..2 | initial |
| 9876.....65....7............4..6..3...57..6.......2..1..89..5......1..4......3..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) I4: 5,7 H6: 5,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H5: 2.. / G4 = 2 => 4 pairs (_) / H5 = 2 => 4 pairs (_) E7,D8: 2.. / E7 = 2 => 3 pairs (_) / D8 = 2 => 3 pairs (_) I5,G6: 4.. / I5 = 4 => 4 pairs (_) / G6 = 4 => 3 pairs (_) I4,H6: 5.. / I4 = 5 => 4 pairs (_) / H6 = 5 => 2 pairs (_) A8,A9: 5.. / A8 = 5 => 3 pairs (_) / A9 = 5 => 3 pairs (_) H3,I3: 6.. / H3 = 6 => 3 pairs (_) / I3 = 6 => 3 pairs (_) B6,C6: 6.. / B6 = 6 => 3 pairs (_) / C6 = 6 => 2 pairs (_) F7,F8: 6.. / F7 = 6 => 4 pairs (_) / F8 = 6 => 3 pairs (_) E3,F3: 7.. / E3 = 7 => 5 pairs (_) / F3 = 7 => 3 pairs (_) I4,H6: 7.. / I4 = 7 => 2 pairs (_) / H6 = 7 => 4 pairs (_) A4,I4: 7.. / A4 = 7 => 4 pairs (_) / I4 = 7 => 2 pairs (_) * DURATION: 0:00:08.742702 START: 17:59:23.162540 END: 17:59:31.905242 2020-11-23 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E3,F3: 7.. / E3 = 7 ==> 5 pairs (_) / F3 = 7 ==> 3 pairs (_) G4,H5: 2.. / G4 = 2 ==> 4 pairs (_) / H5 = 2 ==> 5 pairs (_) F7,F8: 6.. / F7 = 6 ==> 4 pairs (_) / F8 = 6 ==> 3 pairs (_) I5,G6: 4.. / I5 = 4 ==> 0 pairs (*) / G6 = 4 => 0 pairs (X) * DURATION: 0:00:59.526144 START: 17:59:32.783259 END: 18:00:32.309403 2020-11-23 * REASONING G4,H5: 2.. * DIS # H5: 2 # G6: 8,9 => CTR => G6: 4 * DIS # H5: 2 + G6: 4 # G3: 8,9 => CTR => G3: 1,2,3 * DIS # H5: 2 + G6: 4 + G3: 1,2,3 # H3: 1,5 => CTR => H3: 6,8,9 * CNT 3 HDP CHAINS / 53 HYP OPENED * REASONING I5,G6: 4.. * DIS # I5: 4 # G4: 8,9 => CTR => G4: 2 * PRF # I5: 4 + G4: 2 # G3: 8,9 => SOL * STA # I5: 4 + G4: 2 + G3: 8,9 * CNT 2 HDP CHAINS / 9 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
976;H227;GP;22;11.30;11.30;3.40
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E3,F3: 7..:
* INC # E3: 7 # A7: 2,4 => UNS * INC # E3: 7 # A7: 1,3,7 => UNS * INC # E3: 7 # E1: 2,4 => UNS * INC # E3: 7 # E2: 2,4 => UNS * INC # E3: 7 # B7: 6,7 => UNS * INC # E3: 7 # H7: 6,7 => UNS * INC # E3: 7 # I7: 6,7 => UNS * INC # E3: 7 # B8: 6,7 => UNS * INC # E3: 7 # I8: 6,7 => UNS * INC # E3: 7 => UNS * INC # F3: 7 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for G4,H5: 2..:
* INC # G4: 2 # B5: 1,9 => UNS * INC # G4: 2 # B5: 2,3 => UNS * INC # G4: 2 # F4: 1,9 => UNS * INC # G4: 2 # F4: 5,8 => UNS * INC # G4: 2 # C9: 1,9 => UNS * INC # G4: 2 # C9: 4,6 => UNS * INC # G4: 2 # I5: 8,9 => UNS * INC # G4: 2 # G6: 8,9 => UNS * INC # G4: 2 # E5: 8,9 => UNS * INC # G4: 2 # F5: 8,9 => UNS * INC # G4: 2 # H2: 8,9 => UNS * INC # G4: 2 # H3: 8,9 => UNS * INC # G4: 2 # H9: 8,9 => UNS * INC # G4: 2 => UNS * INC # H5: 2 # H3: 1,5 => UNS * INC # H5: 2 # H3: 6,8,9 => UNS * INC # H5: 2 # F1: 1,5 => UNS * INC # H5: 2 # F1: 4 => UNS * INC # H5: 2 # I5: 8,9 => UNS * DIS # H5: 2 # G6: 8,9 => CTR => G6: 4 * INC # H5: 2 + G6: 4 # F4: 8,9 => UNS * INC # H5: 2 + G6: 4 # F4: 1,5 => UNS * DIS # H5: 2 + G6: 4 # G3: 8,9 => CTR => G3: 1,2,3 * INC # H5: 2 + G6: 4 + G3: 1,2,3 # G8: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 # G9: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 # F4: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 # F4: 1,5 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 # G8: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 # G9: 8,9 => UNS * DIS # H5: 2 + G6: 4 + G3: 1,2,3 # H3: 1,5 => CTR => H3: 6,8,9 * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F1: 1,5 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F1: 4 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F4: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F4: 1,5 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # G8: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # G9: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # E5: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F5: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # I2: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # I3: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # I8: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F1: 1,5 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F1: 4 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F4: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F4: 1,5 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # G8: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # G9: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # E5: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # F5: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # I2: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # I3: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 # I8: 8,9 => UNS * INC # H5: 2 + G6: 4 + G3: 1,2,3 + H3: 6,8,9 => UNS * CNT 53 HDP CHAINS / 53 HYP OPENED
Full list of HDP chains traversed for F7,F8: 6..:
* INC # F7: 6 # H9: 1,7 => UNS * INC # F7: 6 # H9: 6,8,9 => UNS * INC # F7: 6 # A7: 1,7 => UNS * INC # F7: 6 # B7: 1,7 => UNS * INC # F7: 6 # I8: 3,7 => UNS * INC # F7: 6 # I8: 6,8,9 => UNS * INC # F7: 6 # A7: 3,7 => UNS * INC # F7: 6 # B7: 3,7 => UNS * INC # F7: 6 => UNS * INC # F8: 6 # E7: 4,7 => UNS * INC # F8: 6 # E9: 4,7 => UNS * INC # F8: 6 # A7: 4,7 => UNS * INC # F8: 6 # A7: 1,2,3 => UNS * INC # F8: 6 # F3: 4,7 => UNS * INC # F8: 6 # F3: 1,5,8,9 => UNS * INC # F8: 6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for I5,G6: 4..:
* INC # I5: 4 # I3: 3,5 => UNS * INC # I5: 4 # I3: 6,8,9 => UNS * INC # I5: 4 # E1: 3,5 => UNS * INC # I5: 4 # E1: 2,4 => UNS * DIS # I5: 4 # G4: 8,9 => CTR => G4: 2 * INC # I5: 4 + G4: 2 # E6: 8,9 => UNS * INC # I5: 4 + G4: 2 # E6: 3,4,5 => UNS * PRF # I5: 4 + G4: 2 # G3: 8,9 => SOL * STA # I5: 4 + G4: 2 + G3: 8,9 * CNT 8 HDP CHAINS / 9 HYP OPENED