Analysis of xx-ph-00052180-12_10-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6...9.5....4..6.9.4....8.3...32....5......1...4...3.8...61....2....7.3.. initial
Autosolve
position: 98.7.....6...9.5....4..6.9.4....8.3...32....5......1...4...3.8...61....2....7.3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for A3,A8: 3..:
* DIS # A3: 3 # D9: 5,8 => CTR => D9: 4,6,9 * CNT 1 HDP CHAINS / 11 HYP OPENED
List of important HDP chains detected for A8,B8: 3..:
* DIS # B8: 3 # D9: 5,8 => CTR => D9: 4,6,9 * CNT 1 HDP CHAINS / 11 HYP OPENED
List of important HDP chains detected for F5,F6: 7..:
* DIS # F5: 7 # G5: 4,6 => CTR => G5: 8,9 * CNT 1 HDP CHAINS / 21 HYP OPENED
List of important HDP chains detected for E3,E8: 8..:
* DIS # E3: 8 => CTR => E3: 1,2,3,5 * STA E3: 1,2,3,5 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for A8,E8: 8..:
* DIS # A8: 8 => CTR => A8: 3,5,7 * STA A8: 3,5,7 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for E8,D9: 8..:
* DIS # D9: 8 => CTR => D9: 4,5,6,9 * STA D9: 4,5,6,9 * CNT 1 HDP CHAINS / 2 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...9.5....4..6.9.4....8.3...32....5......1...4...3.8...61....2....7.3.. | initial |
| 98.7.....6...9.5....4..6.9.4....8.3...32....5......1...4...3.8...61....2....7.3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,H6: 2.. / G4 = 2 => 2 pairs (_) / H6 = 2 => 0 pairs (_) E7,F9: 2.. / E7 = 2 => 1 pairs (_) / F9 = 2 => 2 pairs (_) D6,E6: 3.. / D6 = 3 => 2 pairs (_) / E6 = 3 => 0 pairs (_) A8,B8: 3.. / A8 = 3 => 0 pairs (_) / B8 = 3 => 3 pairs (_) E1,I1: 3.. / E1 = 3 => 2 pairs (_) / I1 = 3 => 0 pairs (_) A3,A8: 3.. / A3 = 3 => 3 pairs (_) / A8 = 3 => 0 pairs (_) H8,H9: 5.. / H8 = 5 => 2 pairs (_) / H9 = 5 => 1 pairs (_) F5,F6: 7.. / F5 = 7 => 2 pairs (_) / F6 = 7 => 0 pairs (_) G5,I6: 8.. / G5 = 8 => 2 pairs (_) / I6 = 8 => 1 pairs (_) E8,D9: 8.. / E8 = 8 => 0 pairs (_) / D9 = 8 => 0 pairs (X) D2,I2: 8.. / D2 = 8 => 1 pairs (_) / I2 = 8 => 3 pairs (_) A5,G5: 8.. / A5 = 8 => 1 pairs (_) / G5 = 8 => 2 pairs (_) A8,E8: 8.. / A8 = 8 => 0 pairs (X) / E8 = 8 => 0 pairs (_) C6,C9: 8.. / C6 = 8 => 2 pairs (_) / C9 = 8 => 0 pairs (_) E3,E8: 8.. / E3 = 8 => 0 pairs (X) / E8 = 8 => 0 pairs (_) G3,G5: 8.. / G3 = 8 => 1 pairs (_) / G5 = 8 => 2 pairs (_) * DURATION: 0:00:10.608560 START: 10:23:27.358226 END: 10:23:37.966786 2020-12-20 * CP COUNT: (16) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D2,I2: 8.. / D2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 3 pairs (_) A3,A8: 3.. / A3 = 3 ==> 4 pairs (_) / A8 = 3 ==> 0 pairs (_) A8,B8: 3.. / A8 = 3 ==> 0 pairs (_) / B8 = 3 ==> 4 pairs (_) G3,G5: 8.. / G3 = 8 ==> 1 pairs (_) / G5 = 8 ==> 2 pairs (_) A5,G5: 8.. / A5 = 8 ==> 1 pairs (_) / G5 = 8 ==> 2 pairs (_) G5,I6: 8.. / G5 = 8 ==> 2 pairs (_) / I6 = 8 ==> 1 pairs (_) H8,H9: 5.. / H8 = 5 ==> 2 pairs (_) / H9 = 5 ==> 1 pairs (_) E7,F9: 2.. / E7 = 2 ==> 1 pairs (_) / F9 = 2 ==> 2 pairs (_) C6,C9: 8.. / C6 = 8 ==> 2 pairs (_) / C9 = 8 ==> 0 pairs (_) F5,F6: 7.. / F5 = 7 ==> 3 pairs (_) / F6 = 7 ==> 0 pairs (_) E1,I1: 3.. / E1 = 3 ==> 2 pairs (_) / I1 = 3 ==> 0 pairs (_) D6,E6: 3.. / D6 = 3 ==> 2 pairs (_) / E6 = 3 ==> 0 pairs (_) G4,H6: 2.. / G4 = 2 ==> 2 pairs (_) / H6 = 2 ==> 0 pairs (_) E3,E8: 8.. / E3 = 8 => 0 pairs (X) / E8 = 8 => 0 pairs (_) A8,E8: 8.. / A8 = 8 => 0 pairs (X) / E8 = 8 => 0 pairs (_) E8,D9: 8.. / E8 = 8 ==> 0 pairs (_) / D9 = 8 => 0 pairs (X) * DURATION: 0:01:39.190433 START: 10:23:37.967652 END: 10:25:17.158085 2020-12-20 * REASONING A3,A8: 3.. * DIS # A3: 3 # D9: 5,8 => CTR => D9: 4,6,9 * CNT 1 HDP CHAINS / 11 HYP OPENED * REASONING A8,B8: 3.. * DIS # B8: 3 # D9: 5,8 => CTR => D9: 4,6,9 * CNT 1 HDP CHAINS / 11 HYP OPENED * REASONING F5,F6: 7.. * DIS # F5: 7 # G5: 4,6 => CTR => G5: 8,9 * CNT 1 HDP CHAINS / 21 HYP OPENED * REASONING E3,E8: 8.. * DIS # E3: 8 => CTR => E3: 1,2,3,5 * STA E3: 1,2,3,5 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING A8,E8: 8.. * DIS # A8: 8 => CTR => A8: 3,5,7 * STA A8: 3,5,7 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING E8,D9: 8.. * DIS # D9: 8 => CTR => D9: 4,5,6,9 * STA D9: 4,5,6,9 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (16) * CLUE FOUND
Header Info
52180;12_10;GP;24;11.30;9.20;9.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D2,I2: 8..:
* INC # I2: 8 # E1: 3,4 => UNS * INC # I2: 8 # E1: 1,2,5 => UNS * INC # I2: 8 # D6: 3,4 => UNS * INC # I2: 8 # D6: 5,6,9 => UNS * INC # I2: 8 # H2: 2,7 => UNS * INC # I2: 8 # H2: 1,4 => UNS * INC # I2: 8 # A3: 2,7 => UNS * INC # I2: 8 # B3: 2,7 => UNS * INC # I2: 8 # G4: 2,7 => UNS * INC # I2: 8 # G4: 6,9 => UNS * INC # I2: 8 # B4: 1,7 => UNS * INC # I2: 8 # C4: 1,7 => UNS * INC # I2: 8 # B5: 1,7 => UNS * INC # I2: 8 # F5: 1,7 => UNS * INC # I2: 8 # F5: 4,9 => UNS * INC # I2: 8 # A3: 1,7 => UNS * INC # I2: 8 # A7: 1,7 => UNS * INC # I2: 8 => UNS * INC # D2: 8 # E1: 3,5 => UNS * INC # D2: 8 # E3: 3,5 => UNS * INC # D2: 8 # A3: 3,5 => UNS * INC # D2: 8 # B3: 3,5 => UNS * INC # D2: 8 # D6: 3,5 => UNS * INC # D2: 8 # D6: 4,6,9 => UNS * INC # D2: 8 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for A3,A8: 3..:
* INC # A3: 3 # E3: 5,8 => UNS * INC # A3: 3 # E3: 1,2 => UNS * DIS # A3: 3 # D9: 5,8 => CTR => D9: 4,6,9 * INC # A3: 3 + D9: 4,6,9 # A7: 5,7 => UNS * INC # A3: 3 + D9: 4,6,9 # C7: 5,7 => UNS * INC # A3: 3 + D9: 4,6,9 # H8: 5,7 => UNS * INC # A3: 3 + D9: 4,6,9 # H8: 4 => UNS * INC # A3: 3 + D9: 4,6,9 # A6: 5,7 => UNS * INC # A3: 3 + D9: 4,6,9 # A6: 2,8 => UNS * INC # A3: 3 + D9: 4,6,9 => UNS * INC # A8: 3 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for A8,B8: 3..:
* INC # B8: 3 # E3: 5,8 => UNS * INC # B8: 3 # E3: 1,2 => UNS * DIS # B8: 3 # D9: 5,8 => CTR => D9: 4,6,9 * INC # B8: 3 + D9: 4,6,9 # A7: 5,7 => UNS * INC # B8: 3 + D9: 4,6,9 # C7: 5,7 => UNS * INC # B8: 3 + D9: 4,6,9 # H8: 5,7 => UNS * INC # B8: 3 + D9: 4,6,9 # H8: 4 => UNS * INC # B8: 3 + D9: 4,6,9 # A6: 5,7 => UNS * INC # B8: 3 + D9: 4,6,9 # A6: 2,8 => UNS * INC # B8: 3 + D9: 4,6,9 => UNS * INC # A8: 3 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for G3,G5: 8..:
* INC # G5: 8 # H2: 2,7 => UNS * INC # G5: 8 # H2: 1,4 => UNS * INC # G5: 8 # A3: 2,7 => UNS * INC # G5: 8 # B3: 2,7 => UNS * INC # G5: 8 # G4: 2,7 => UNS * INC # G5: 8 # G4: 6,9 => UNS * INC # G5: 8 # B4: 1,7 => UNS * INC # G5: 8 # C4: 1,7 => UNS * INC # G5: 8 # B5: 1,7 => UNS * INC # G5: 8 # F5: 1,7 => UNS * INC # G5: 8 # F5: 4,9 => UNS * INC # G5: 8 # A3: 1,7 => UNS * INC # G5: 8 # A7: 1,7 => UNS * INC # G5: 8 => UNS * INC # G3: 8 # E1: 3,5 => UNS * INC # G3: 8 # E3: 3,5 => UNS * INC # G3: 8 # A3: 3,5 => UNS * INC # G3: 8 # B3: 3,5 => UNS * INC # G3: 8 # D6: 3,5 => UNS * INC # G3: 8 # D6: 4,6,9 => UNS * INC # G3: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for A5,G5: 8..:
* INC # G5: 8 # H2: 2,7 => UNS * INC # G5: 8 # H2: 1,4 => UNS * INC # G5: 8 # A3: 2,7 => UNS * INC # G5: 8 # B3: 2,7 => UNS * INC # G5: 8 # G4: 2,7 => UNS * INC # G5: 8 # G4: 6,9 => UNS * INC # G5: 8 # B4: 1,7 => UNS * INC # G5: 8 # C4: 1,7 => UNS * INC # G5: 8 # B5: 1,7 => UNS * INC # G5: 8 # F5: 1,7 => UNS * INC # G5: 8 # F5: 4,9 => UNS * INC # G5: 8 # A3: 1,7 => UNS * INC # G5: 8 # A7: 1,7 => UNS * INC # G5: 8 => UNS * INC # A5: 8 # E1: 3,5 => UNS * INC # A5: 8 # E3: 3,5 => UNS * INC # A5: 8 # A3: 3,5 => UNS * INC # A5: 8 # B3: 3,5 => UNS * INC # A5: 8 # D6: 3,5 => UNS * INC # A5: 8 # D6: 4,6,9 => UNS * INC # A5: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for G5,I6: 8..:
* INC # G5: 8 # H2: 2,7 => UNS * INC # G5: 8 # H2: 1,4 => UNS * INC # G5: 8 # A3: 2,7 => UNS * INC # G5: 8 # B3: 2,7 => UNS * INC # G5: 8 # G4: 2,7 => UNS * INC # G5: 8 # G4: 6,9 => UNS * INC # G5: 8 # B4: 1,7 => UNS * INC # G5: 8 # C4: 1,7 => UNS * INC # G5: 8 # B5: 1,7 => UNS * INC # G5: 8 # F5: 1,7 => UNS * INC # G5: 8 # F5: 4,9 => UNS * INC # G5: 8 # A3: 1,7 => UNS * INC # G5: 8 # A7: 1,7 => UNS * INC # G5: 8 => UNS * INC # I6: 8 # E1: 3,5 => UNS * INC # I6: 8 # E3: 3,5 => UNS * INC # I6: 8 # A3: 3,5 => UNS * INC # I6: 8 # B3: 3,5 => UNS * INC # I6: 8 # D6: 3,5 => UNS * INC # I6: 8 # D6: 4,6,9 => UNS * INC # I6: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for H8,H9: 5..:
* INC # H8: 5 # D9: 4,8 => UNS * INC # H8: 5 # D9: 5,6,9 => UNS * INC # H8: 5 # D9: 4,9 => UNS * INC # H8: 5 # F9: 4,9 => UNS * INC # H8: 5 # G8: 4,9 => UNS * INC # H8: 5 # G8: 7 => UNS * INC # H8: 5 # F5: 4,9 => UNS * INC # H8: 5 # F6: 4,9 => UNS * INC # H8: 5 => UNS * INC # H9: 5 # G8: 4,7 => UNS * INC # H9: 5 # G8: 9 => UNS * INC # H9: 5 # H2: 4,7 => UNS * INC # H9: 5 # H5: 4,7 => UNS * INC # H9: 5 # H6: 4,7 => UNS * INC # H9: 5 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E7,F9: 2..:
* INC # F9: 2 # E1: 1,4 => UNS * INC # F9: 2 # F1: 1,4 => UNS * INC # F9: 2 # H2: 1,4 => UNS * INC # F9: 2 # I2: 1,4 => UNS * INC # F9: 2 # F5: 1,4 => UNS * INC # F9: 2 # F5: 7,9 => UNS * INC # F9: 2 # D7: 5,6 => UNS * INC # F9: 2 # D9: 5,6 => UNS * INC # F9: 2 # E4: 5,6 => UNS * INC # F9: 2 # E6: 5,6 => UNS * INC # F9: 2 => UNS * INC # E7: 2 # D6: 5,9 => UNS * INC # E7: 2 # F6: 5,9 => UNS * INC # E7: 2 # B4: 5,9 => UNS * INC # E7: 2 # C4: 5,9 => UNS * INC # E7: 2 # D7: 5,9 => UNS * INC # E7: 2 # D9: 5,9 => UNS * INC # E7: 2 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for C6,C9: 8..:
* INC # C6: 8 # H2: 2,7 => UNS * INC # C6: 8 # H2: 1,4 => UNS * INC # C6: 8 # A3: 2,7 => UNS * INC # C6: 8 # B3: 2,7 => UNS * INC # C6: 8 # G4: 2,7 => UNS * INC # C6: 8 # G4: 6,9 => UNS * INC # C6: 8 # B4: 1,7 => UNS * INC # C6: 8 # C4: 1,7 => UNS * INC # C6: 8 # B5: 1,7 => UNS * INC # C6: 8 # F5: 1,7 => UNS * INC # C6: 8 # F5: 4,9 => UNS * INC # C6: 8 # A3: 1,7 => UNS * INC # C6: 8 # A7: 1,7 => UNS * INC # C6: 8 => UNS * INC # C9: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for F5,F6: 7..:
* INC # F5: 7 # A9: 1,8 => UNS * INC # F5: 7 # A9: 2,5 => UNS * DIS # F5: 7 # G5: 4,6 => CTR => G5: 8,9 * INC # F5: 7 + G5: 8,9 # H6: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # I6: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # E5: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # E5: 1 => UNS * INC # F5: 7 + G5: 8,9 # H1: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # H9: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # A9: 1,8 => UNS * INC # F5: 7 + G5: 8,9 # A9: 2,5 => UNS * INC # F5: 7 + G5: 8,9 # I6: 8,9 => UNS * INC # F5: 7 + G5: 8,9 # I6: 4,6,7 => UNS * INC # F5: 7 + G5: 8,9 # H6: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # I6: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # E5: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # E5: 1 => UNS * INC # F5: 7 + G5: 8,9 # H1: 4,6 => UNS * INC # F5: 7 + G5: 8,9 # H9: 4,6 => UNS * INC # F5: 7 + G5: 8,9 => UNS * INC # F6: 7 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for E1,I1: 3..:
* INC # E1: 3 # I2: 4,8 => UNS * INC # E1: 3 # I2: 1,3,7 => UNS * INC # E1: 3 # D9: 4,8 => UNS * INC # E1: 3 # D9: 5,6,9 => UNS * INC # E1: 3 # E3: 5,8 => UNS * INC # E1: 3 # E3: 1,2 => UNS * INC # E1: 3 # D9: 5,8 => UNS * INC # E1: 3 # D9: 4,6,9 => UNS * INC # E1: 3 => UNS * INC # I1: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D6,E6: 3..:
* INC # D6: 3 # I2: 4,8 => UNS * INC # D6: 3 # I2: 1,3,7 => UNS * INC # D6: 3 # D9: 4,8 => UNS * INC # D6: 3 # D9: 5,6,9 => UNS * INC # D6: 3 # E3: 5,8 => UNS * INC # D6: 3 # E3: 1,2,3 => UNS * INC # D6: 3 # D9: 5,8 => UNS * INC # D6: 3 # D9: 4,6,9 => UNS * INC # D6: 3 => UNS * INC # E6: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for G4,H6: 2..:
* INC # G4: 2 # H1: 4,6 => UNS * INC # G4: 2 # I1: 4,6 => UNS * INC # G4: 2 # G5: 4,6 => UNS * INC # G4: 2 # G5: 7,8,9 => UNS * INC # G4: 2 # I2: 7,8 => UNS * INC # G4: 2 # I3: 7,8 => UNS * INC # G4: 2 # G5: 7,8 => UNS * INC # G4: 2 # G5: 4,6,9 => UNS * INC # G4: 2 => UNS * INC # H6: 2 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E3,E8: 8..:
* DIS # E3: 8 => CTR => E3: 1,2,3,5 * INC E3: 1,2,3,5 # E8: 8 => UNS * STA E3: 1,2,3,5 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,E8: 8..:
* DIS # A8: 8 => CTR => A8: 3,5,7 * INC A8: 3,5,7 # E8: 8 => UNS * STA A8: 3,5,7 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E8,D9: 8..:
* INC # E8: 8 => UNS * DIS # D9: 8 => CTR => D9: 4,5,6,9 * STA D9: 4,5,6,9 * CNT 2 HDP CHAINS / 2 HYP OPENED