Analysis of xx-ph-00009395-cy4-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6..5..4....5.3..9.4.......6.2....8....9..5.3...79...1.....13...........2 initial
Autosolve
position: 98.7.....6..5..4....5.3..9.4.......6.2....8....9..5.3...79...1.....13...........2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for C4,A6: 8..:
* DIS # A6: 8 # B4: 1,3 => CTR => B4: 5,7 * DIS # A6: 8 + B4: 5,7 # C9: 1,3 => CTR => C9: 4,6,8 * DIS # C4: 8 # A5: 1,7 => CTR => A5: 3,5 * CNT 3 HDP CHAINS / 59 HYP OPENED
List of important HDP chains detected for C1,B3: 4..:
* DIS # C1: 4 # G3: 1,7 => CTR => G3: 2,6 * DIS # C1: 4 + G3: 2,6 # I3: 1,7 => CTR => I3: 8 * DIS # C1: 4 + G3: 2,6 + I3: 8 # A3: 2 => CTR => A3: 1,7 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 # B4: 1,7 => CTR => B4: 5 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 + B4: 5 # B6: 1,7 => CTR => B6: 6 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 + B4: 5 + B6: 6 => CTR => C1: 1,2,3 * STA C1: 1,2,3 * CNT 6 HDP CHAINS / 12 HYP OPENED
List of important HDP chains detected for C5,B6: 6..:
* DIS # C5: 6 # B4: 1,7 => CTR => B4: 3,5 * CNT 1 HDP CHAINS / 27 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..5..4....5.3..9.4.......6.2....8....9..5.3...79...1.....13...........2 | initial |
| 98.7.....6..5..4....5.3..9.4.......6.2....8....9..5.3...79...1.....13...........2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,D5: 3.. / D4 = 3 => 1 pairs (_) / D5 = 3 => 1 pairs (_) C1,B3: 4.. / C1 = 4 => 2 pairs (_) / B3 = 4 => 0 pairs (_) B4,A5: 5.. / B4 = 5 => 1 pairs (_) / A5 = 5 => 2 pairs (_) E7,E9: 5.. / E7 = 5 => 1 pairs (_) / E9 = 5 => 0 pairs (_) C5,B6: 6.. / C5 = 6 => 1 pairs (_) / B6 = 6 => 1 pairs (_) E9,F9: 7.. / E9 = 7 => 1 pairs (_) / F9 = 7 => 0 pairs (_) C4,A6: 8.. / C4 = 8 => 1 pairs (_) / A6 = 8 => 2 pairs (_) E2,F2: 9.. / E2 = 9 => 0 pairs (_) / F2 = 9 => 1 pairs (_) G4,I5: 9.. / G4 = 9 => 0 pairs (_) / I5 = 9 => 0 pairs (_) B8,B9: 9.. / B8 = 9 => 0 pairs (_) / B9 = 9 => 0 pairs (_) B9,G9: 9.. / B9 = 9 => 0 pairs (_) / G9 = 9 => 0 pairs (_) I5,I8: 9.. / I5 = 9 => 0 pairs (_) / I8 = 9 => 0 pairs (_) * DURATION: 0:00:07.513787 START: 06:15:35.550173 END: 06:15:43.063960 2020-12-01 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C4,A6: 8.. / C4 = 8 ==> 2 pairs (_) / A6 = 8 ==> 5 pairs (_) B4,A5: 5.. / B4 = 5 ==> 1 pairs (_) / A5 = 5 ==> 2 pairs (_) C1,B3: 4.. / C1 = 4 ==> 0 pairs (X) / B3 = 4 => 0 pairs (_) C5,B6: 6.. / C5 = 6 ==> 2 pairs (_) / B6 = 6 ==> 1 pairs (_) D4,D5: 3.. / D4 = 3 ==> 1 pairs (_) / D5 = 3 ==> 1 pairs (_) E2,F2: 9.. / E2 = 9 ==> 0 pairs (_) / F2 = 9 ==> 1 pairs (_) E9,F9: 7.. / E9 = 7 ==> 1 pairs (_) / F9 = 7 ==> 0 pairs (_) E7,E9: 5.. / E7 = 5 ==> 1 pairs (_) / E9 = 5 ==> 0 pairs (_) I5,I8: 9.. / I5 = 9 ==> 0 pairs (_) / I8 = 9 ==> 0 pairs (_) B9,G9: 9.. / B9 = 9 ==> 0 pairs (_) / G9 = 9 ==> 0 pairs (_) B8,B9: 9.. / B8 = 9 ==> 0 pairs (_) / B9 = 9 ==> 0 pairs (_) G4,I5: 9.. / G4 = 9 ==> 0 pairs (_) / I5 = 9 ==> 0 pairs (_) * DURATION: 0:01:19.473091 START: 06:15:43.064623 END: 06:17:02.537714 2020-12-01 * REASONING C4,A6: 8.. * DIS # A6: 8 # B4: 1,3 => CTR => B4: 5,7 * DIS # A6: 8 + B4: 5,7 # C9: 1,3 => CTR => C9: 4,6,8 * DIS # C4: 8 # A5: 1,7 => CTR => A5: 3,5 * CNT 3 HDP CHAINS / 59 HYP OPENED * REASONING C1,B3: 4.. * DIS # C1: 4 # G3: 1,7 => CTR => G3: 2,6 * DIS # C1: 4 + G3: 2,6 # I3: 1,7 => CTR => I3: 8 * DIS # C1: 4 + G3: 2,6 + I3: 8 # A3: 2 => CTR => A3: 1,7 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 # B4: 1,7 => CTR => B4: 5 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 + B4: 5 # B6: 1,7 => CTR => B6: 6 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 + B4: 5 + B6: 6 => CTR => C1: 1,2,3 * STA C1: 1,2,3 * CNT 6 HDP CHAINS / 12 HYP OPENED * REASONING C5,B6: 6.. * DIS # C5: 6 # B4: 1,7 => CTR => B4: 3,5 * CNT 1 HDP CHAINS / 27 HYP OPENED * DCP COUNT: (12) * CLUE FOUND
Header Info
9395;cy4;GP;22;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C4,A6: 8..:
* DIS # A6: 8 # B4: 1,3 => CTR => B4: 5,7 * INC # A6: 8 + B4: 5,7 # A5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 # C5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 # D4: 1,3 => UNS * INC # A6: 8 + B4: 5,7 # D4: 2,8 => UNS * INC # A6: 8 + B4: 5,7 # C1: 1,3 => UNS * INC # A6: 8 + B4: 5,7 # C2: 1,3 => UNS * DIS # A6: 8 + B4: 5,7 # C9: 1,3 => CTR => C9: 4,6,8 * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # C5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # D4: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # D4: 2,8 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # C1: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # C2: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A7: 2,5 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A7: 3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A5: 5,7 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # G4: 5,7 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # H4: 5,7 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # C5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # D4: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # D4: 2,8 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # C1: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # C2: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A7: 2,5 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A7: 3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # B9: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # B9: 9 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A5: 1,3 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # A5: 5,7 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # B9: 3,9 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 # B9: 1 => UNS * INC # A6: 8 + B4: 5,7 + C9: 4,6,8 => UNS * INC # C4: 8 # B4: 1,7 => UNS * DIS # C4: 8 # A5: 1,7 => CTR => A5: 3,5 * INC # C4: 8 + A5: 3,5 # B6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # G6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # I6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A3: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A3: 2 => UNS * INC # C4: 8 + A5: 3,5 # B4: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # B6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # G6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # I6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A3: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A3: 2 => UNS * INC # C4: 8 + A5: 3,5 # B4: 3,5 => UNS * INC # C4: 8 + A5: 3,5 # B4: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A7: 3,5 => UNS * INC # C4: 8 + A5: 3,5 # A9: 3,5 => UNS * INC # C4: 8 + A5: 3,5 # B4: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # B6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # G6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # I6: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A3: 1,7 => UNS * INC # C4: 8 + A5: 3,5 # A3: 2 => UNS * INC # C4: 8 + A5: 3,5 => UNS * CNT 59 HDP CHAINS / 59 HYP OPENED
Full list of HDP chains traversed for B4,A5: 5..:
* INC # A5: 5 # I5: 4,7 => UNS * INC # A5: 5 # I6: 4,7 => UNS * INC # A5: 5 # E5: 4,7 => UNS * INC # A5: 5 # F5: 4,7 => UNS * INC # A5: 5 # H8: 4,7 => UNS * INC # A5: 5 # H8: 5,6,8 => UNS * INC # A5: 5 # A7: 2,8 => UNS * INC # A5: 5 # C8: 2,8 => UNS * INC # A5: 5 # D8: 2,8 => UNS * INC # A5: 5 # D8: 4,6 => UNS * INC # A5: 5 => UNS * INC # B4: 5 # G4: 2,7 => UNS * INC # B4: 5 # G6: 2,7 => UNS * INC # B4: 5 # E4: 2,7 => UNS * INC # B4: 5 # F4: 2,7 => UNS * INC # B4: 5 # H2: 2,7 => UNS * INC # B4: 5 # H2: 8 => UNS * INC # B4: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for C1,B3: 4..:
* INC # C1: 4 # B2: 1,7 => UNS * INC # C1: 4 # A3: 1,7 => UNS * DIS # C1: 4 # G3: 1,7 => CTR => G3: 2,6 * DIS # C1: 4 + G3: 2,6 # I3: 1,7 => CTR => I3: 8 * INC # C1: 4 + G3: 2,6 + I3: 8 # B4: 1,7 => UNS * INC # C1: 4 + G3: 2,6 + I3: 8 # B6: 1,7 => UNS * INC # C1: 4 + G3: 2,6 + I3: 8 # A3: 1,7 => UNS * DIS # C1: 4 + G3: 2,6 + I3: 8 # A3: 2 => CTR => A3: 1,7 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 # B4: 1,7 => CTR => B4: 5 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 + B4: 5 # B6: 1,7 => CTR => B6: 6 * DIS # C1: 4 + G3: 2,6 + I3: 8 + A3: 1,7 + B4: 5 + B6: 6 => CTR => C1: 1,2,3 * INC C1: 1,2,3 # B3: 4 => UNS * STA C1: 1,2,3 * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C5,B6: 6..:
* DIS # C5: 6 # B4: 1,7 => CTR => B4: 3,5 * INC # C5: 6 + B4: 3,5 # A5: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # A6: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # G6: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # I6: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # B2: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # B3: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # A5: 3,5 => UNS * INC # C5: 6 + B4: 3,5 # A5: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # B7: 3,5 => UNS * INC # C5: 6 + B4: 3,5 # B9: 3,5 => UNS * INC # C5: 6 + B4: 3,5 # A5: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # A6: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # G6: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # I6: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # B2: 1,7 => UNS * INC # C5: 6 + B4: 3,5 # B3: 1,7 => UNS * INC # C5: 6 + B4: 3,5 => UNS * INC # B6: 6 # B4: 1,3 => UNS * INC # B6: 6 # C4: 1,3 => UNS * INC # B6: 6 # A5: 1,3 => UNS * INC # B6: 6 # D5: 1,3 => UNS * INC # B6: 6 # D5: 4,6 => UNS * INC # B6: 6 # C1: 1,3 => UNS * INC # B6: 6 # C2: 1,3 => UNS * INC # B6: 6 # C9: 1,3 => UNS * INC # B6: 6 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for D4,D5: 3..:
* INC # D4: 3 # A6: 1,8 => UNS * INC # D4: 3 # A6: 7 => UNS * INC # D4: 3 # F4: 1,8 => UNS * INC # D4: 3 # F4: 2,7,9 => UNS * INC # D4: 3 # C9: 1,8 => UNS * INC # D4: 3 # C9: 3,4,6 => UNS * INC # D4: 3 => UNS * INC # D5: 3 # B6: 1,6 => UNS * INC # D5: 3 # B6: 7 => UNS * INC # D5: 3 # F5: 1,6 => UNS * INC # D5: 3 # F5: 4,7,9 => UNS * INC # D5: 3 # C9: 1,6 => UNS * INC # D5: 3 # C9: 4,8 => UNS * INC # D5: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E2,F2: 9..:
* INC # F2: 9 # D3: 2,8 => UNS * INC # F2: 9 # F3: 2,8 => UNS * INC # F2: 9 # H2: 2,8 => UNS * INC # F2: 9 # H2: 7 => UNS * INC # F2: 9 # E4: 2,8 => UNS * INC # F2: 9 # E6: 2,8 => UNS * INC # F2: 9 # E7: 2,8 => UNS * INC # F2: 9 => UNS * INC # E2: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E9,F9: 7..:
* INC # E9: 7 # G9: 3,6 => UNS * INC # E9: 7 # G9: 5,9 => UNS * INC # E9: 7 # B7: 3,6 => UNS * INC # E9: 7 # B7: 4 => UNS * INC # E9: 7 # G1: 3,6 => UNS * INC # E9: 7 # G1: 1,2,5 => UNS * INC # E9: 7 => UNS * INC # F9: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E7,E9: 5..:
* INC # E7: 5 # G9: 3,6 => UNS * INC # E7: 5 # G9: 5,9 => UNS * INC # E7: 5 # B7: 3,6 => UNS * INC # E7: 5 # B7: 4 => UNS * INC # E7: 5 # G1: 3,6 => UNS * INC # E7: 5 # G1: 1,2,5 => UNS * INC # E7: 5 => UNS * INC # E9: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I5,I8: 9..:
* INC # I5: 9 => UNS * INC # I8: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B9,G9: 9..:
* INC # B9: 9 => UNS * INC # G9: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B8,B9: 9..:
* INC # B8: 9 => UNS * INC # B9: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G4,I5: 9..:
* INC # G4: 9 => UNS * INC # I5: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED