Analysis of xx-ph-00009375-cy4-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6...9.7....7..5....4..3..2...8...5.......1..4..65..9......4..1......2..3 initial
Autosolve
position: 98.7.....6...9.7....7..5....4..3..2...8...5......51..4..65..9......4..1......2..3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000018
List of important HDP chains detected for B5,B6: 6..:
* DIS # B5: 6 # A5: 2,7 => CTR => A5: 1,3 * CNT 1 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for A7,H7: 4..:
* DIS # A7: 4 # I7: 7,8 => CTR => I7: 2 * DIS # A7: 4 + I7: 2 # G9: 6,8 => CTR => G9: 4 * DIS # A7: 4 + I7: 2 + G9: 4 # G4: 6,8 => CTR => G4: 1 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 # I8: 6,8 => CTR => I8: 5,7 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # C8: 5,9 => CTR => C8: 2,3 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 # C9: 5,9 => CTR => C9: 1 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 # H9: 7,8 => CTR => H9: 5,6 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 + H9: 5,6 # F7: 7,8 => CTR => F7: 3 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 + H9: 5,6 + F7: 3 => CTR => A7: 1,2,3,7,8 * STA A7: 1,2,3,7,8 * CNT 9 HDP CHAINS / 37 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...9.7....7..5....4..3..2...8...5.......1..4..65..9......4..1......2..3 | initial |
| 98.7.....6...9.7....7..5....4..3..2...8...5......51..4..65..9......4..1......2..3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,F5: 4.. / D5 = 4 => 0 pairs (_) / F5 = 4 => 2 pairs (_) A7,H7: 4.. / A7 = 4 => 1 pairs (_) / H7 = 4 => 1 pairs (_) A4,C4: 5.. / A4 = 5 => 1 pairs (_) / C4 = 5 => 1 pairs (_) I8,H9: 5.. / I8 = 5 => 0 pairs (_) / H9 = 5 => 0 pairs (_) B5,B6: 6.. / B5 = 6 => 1 pairs (_) / B6 = 6 => 1 pairs (_) H3,I3: 9.. / H3 = 9 => 0 pairs (_) / I3 = 9 => 0 pairs (_) * DURATION: 0:00:03.545200 START: 06:05:17.876059 END: 06:05:21.421259 2020-09-23 * CP COUNT: (6) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D5,F5: 4.. / D5 = 4 ==> 0 pairs (_) / F5 = 4 ==> 2 pairs (_) B5,B6: 6.. / B5 = 6 ==> 2 pairs (_) / B6 = 6 ==> 1 pairs (_) A4,C4: 5.. / A4 = 5 ==> 1 pairs (_) / C4 = 5 ==> 1 pairs (_) A7,H7: 4.. / A7 = 4 ==> 0 pairs (X) / H7 = 4 => 1 pairs (_) H3,I3: 9.. / H3 = 9 ==> 0 pairs (_) / I3 = 9 ==> 0 pairs (_) I8,H9: 5.. / I8 = 5 ==> 0 pairs (_) / H9 = 5 ==> 0 pairs (_) * DURATION: 0:00:40.613325 START: 06:05:21.422417 END: 06:06:02.035742 2020-09-23 * REASONING B5,B6: 6.. * DIS # B5: 6 # A5: 2,7 => CTR => A5: 1,3 * CNT 1 HDP CHAINS / 9 HYP OPENED * REASONING A7,H7: 4.. * DIS # A7: 4 # I7: 7,8 => CTR => I7: 2 * DIS # A7: 4 + I7: 2 # G9: 6,8 => CTR => G9: 4 * DIS # A7: 4 + I7: 2 + G9: 4 # G4: 6,8 => CTR => G4: 1 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 # I8: 6,8 => CTR => I8: 5,7 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # C8: 5,9 => CTR => C8: 2,3 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 # C9: 5,9 => CTR => C9: 1 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 # H9: 7,8 => CTR => H9: 5,6 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 + H9: 5,6 # F7: 7,8 => CTR => F7: 3 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 + H9: 5,6 + F7: 3 => CTR => A7: 1,2,3,7,8 * STA A7: 1,2,3,7,8 * CNT 9 HDP CHAINS / 37 HYP OPENED * DCP COUNT: (6) * CLUE FOUND
Header Info
9375;cy4;GP;22;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D5,F5: 4..:
* INC # F5: 4 # D3: 3,6 => UNS * INC # F5: 4 # D3: 1,2,4,8 => UNS * INC # F5: 4 # G1: 3,6 => UNS * INC # F5: 4 # H1: 3,6 => UNS * INC # F5: 4 # F8: 3,6 => UNS * INC # F5: 4 # F8: 7,8,9 => UNS * INC # F5: 4 # D2: 3,8 => UNS * INC # F5: 4 # D3: 3,8 => UNS * INC # F5: 4 # H2: 3,8 => UNS * INC # F5: 4 # H2: 4,5 => UNS * INC # F5: 4 # F7: 3,8 => UNS * INC # F5: 4 # F8: 3,8 => UNS * INC # F5: 4 => UNS * INC # D5: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B5,B6: 6..:
* DIS # B5: 6 # A5: 2,7 => CTR => A5: 1,3 * INC # B5: 6 + A5: 1,3 # A3: 1,3 => UNS * INC # B5: 6 + A5: 1,3 # A7: 1,3 => UNS * INC # B5: 6 + A5: 1,3 => UNS * INC # B6: 6 # H6: 3,8 => UNS * INC # B6: 6 # H6: 7,9 => UNS * INC # B6: 6 # G3: 3,8 => UNS * INC # B6: 6 # G3: 1,2,4,6 => UNS * INC # B6: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A4,C4: 5..:
* INC # A4: 5 # B5: 1,9 => UNS * INC # A4: 5 # B5: 2,3,6,7 => UNS * INC # A4: 5 # I4: 1,9 => UNS * INC # A4: 5 # I4: 6,7,8 => UNS * INC # A4: 5 # C9: 1,9 => UNS * INC # A4: 5 # C9: 4,5 => UNS * INC # A4: 5 => UNS * INC # C4: 5 # A5: 1,7 => UNS * INC # C4: 5 # B5: 1,7 => UNS * INC # C4: 5 # I4: 1,7 => UNS * INC # C4: 5 # I4: 6,8,9 => UNS * INC # C4: 5 # A7: 1,7 => UNS * INC # C4: 5 # A9: 1,7 => UNS * INC # C4: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for A7,H7: 4..:
* DIS # A7: 4 # I7: 7,8 => CTR => I7: 2 * INC # A7: 4 + I7: 2 # I8: 7,8 => UNS * INC # A7: 4 + I7: 2 # H9: 7,8 => UNS * INC # A7: 4 + I7: 2 # E7: 7,8 => UNS * INC # A7: 4 + I7: 2 # F7: 7,8 => UNS * INC # A7: 4 + I7: 2 # H6: 7,8 => UNS * INC # A7: 4 + I7: 2 # H6: 3,6,9 => UNS * INC # A7: 4 + I7: 2 # I8: 7,8 => UNS * INC # A7: 4 + I7: 2 # H9: 7,8 => UNS * INC # A7: 4 + I7: 2 # E7: 7,8 => UNS * INC # A7: 4 + I7: 2 # F7: 7,8 => UNS * INC # A7: 4 + I7: 2 # H6: 7,8 => UNS * INC # A7: 4 + I7: 2 # H6: 3,6,9 => UNS * INC # A7: 4 + I7: 2 # I8: 6,8 => UNS * DIS # A7: 4 + I7: 2 # G9: 6,8 => CTR => G9: 4 * INC # A7: 4 + I7: 2 + G9: 4 # H9: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 # D8: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 # F8: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 # G3: 6,8 => UNS * DIS # A7: 4 + I7: 2 + G9: 4 # G4: 6,8 => CTR => G4: 1 * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 # G6: 6,8 => UNS * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 # I8: 6,8 => CTR => I8: 5,7 * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # H9: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # H9: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # H9: 5,7 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # D8: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # F8: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # G3: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # G6: 6,8 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # A8: 5,7 => UNS * INC # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # A9: 5,7 => UNS * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 # C8: 5,9 => CTR => C8: 2,3 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 # C9: 5,9 => CTR => C9: 1 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 # H9: 7,8 => CTR => H9: 5,6 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 + H9: 5,6 # F7: 7,8 => CTR => F7: 3 * DIS # A7: 4 + I7: 2 + G9: 4 + G4: 1 + I8: 5,7 + C8: 2,3 + C9: 1 + H9: 5,6 + F7: 3 => CTR => A7: 1,2,3,7,8 * INC A7: 1,2,3,7,8 # H7: 4 => UNS * STA A7: 1,2,3,7,8 * CNT 37 HDP CHAINS / 37 HYP OPENED
Full list of HDP chains traversed for H3,I3: 9..:
* INC # H3: 9 => UNS * INC # I3: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I8,H9: 5..:
* INC # I8: 5 => UNS * INC # H9: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED