Analysis of xx-ph-00019454-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7.....6....5.4..7.35....9...6......8..7..4.5...24...1.....2...3....15... initial

Autosolve

position: 98.7.....7.....6....5.4..7.35....9...6......8..7..4.5...24...1.....2...3....15... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for C4,A6: 8..:

* PRF # C4: 8 # H2: 2,3 => SOL
* STA # C4: 8 + H2: 2,3
* CNT   1 HDP CHAINS /  20 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.....7.....6....5.4..7.35....9...6......8..7..4.5...24...1.....2...3....15... initial
98.7.....7.....6....5.4..7.35....9...6......8..7..4.5...24...1.....2...3....15... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
D5,E5: 5.. / D5 = 5  =>  0 pairs (_) / E5 = 5  =>  1 pairs (_)
A7,A8: 5.. / A7 = 5  =>  1 pairs (_) / A8 = 5  =>  1 pairs (_)
A8,G8: 5.. / A8 = 5  =>  1 pairs (_) / G8 = 5  =>  1 pairs (_)
D2,D5: 5.. / D2 = 5  =>  1 pairs (_) / D5 = 5  =>  0 pairs (_)
C1,A3: 6.. / C1 = 6  =>  2 pairs (_) / A3 = 6  =>  3 pairs (_)
I4,G5: 7.. / I4 = 7  =>  1 pairs (_) / G5 = 7  =>  1 pairs (_)
H2,G3: 8.. / H2 = 8  =>  0 pairs (_) / G3 = 8  =>  1 pairs (_)
C4,A6: 8.. / C4 = 8  =>  3 pairs (_) / A6 = 8  =>  3 pairs (_)
C5,B6: 9.. / C5 = 9  =>  1 pairs (_) / B6 = 9  =>  3 pairs (_)
* DURATION: 0:00:05.685234  START: 17:33:44.129858  END: 17:33:49.815092 2020-12-06
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,A6: 8.. / C4 = 8 ==>  0 pairs (*) / A6 = 8  =>  0 pairs (X)
* DURATION: 0:00:16.000510  START: 17:33:49.815732  END: 17:34:05.816242 2020-12-06
* REASONING C4,A6: 8..
* PRF # C4: 8 # H2: 2,3 => SOL
* STA # C4: 8 + H2: 2,3
* CNT   1 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

19454;KZ1C;GP;23;11.30;11.30;9.10

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,A6: 8..:

* INC # C4: 8 # A5: 1,2 => UNS
* INC # C4: 8 # B6: 1,2 => UNS
* INC # C4: 8 # D6: 1,2 => UNS
* INC # C4: 8 # G6: 1,2 => UNS
* INC # C4: 8 # I6: 1,2 => UNS
* INC # C4: 8 # A3: 1,2 => UNS
* INC # C4: 8 # A3: 6 => UNS
* INC # C4: 8 # F4: 6,7 => UNS
* INC # C4: 8 # F4: 1,2 => UNS
* INC # C4: 8 # I4: 6,7 => UNS
* INC # C4: 8 # I4: 1,2,4 => UNS
* INC # C4: 8 # E7: 6,7 => UNS
* INC # C4: 8 # E7: 3,8,9 => UNS
* INC # C4: 8 # G5: 2,3 => UNS
* INC # C4: 8 # G6: 2,3 => UNS
* INC # C4: 8 # D5: 2,3 => UNS
* INC # C4: 8 # F5: 2,3 => UNS
* INC # C4: 8 # H1: 2,3 => UNS
* PRF # C4: 8 # H2: 2,3 => SOL
* STA # C4: 8 + H2: 2,3
* CNT  19 HDP CHAINS /  20 HYP OPENED