Analysis of xx-ph-00000123-H16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...9.7....7..5....4..3..2...8...5.......1..4..65..9......4...3.....2.1. initial

Autosolve

position: 98.7.....6...9.7....7..5....4..3..2...8...5......51..4..65..9......4...3.....2.1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for F7,D9: 3..:

* PRF # F7: 3 # D2: 4,8 => SOL
* STA # F7: 3 + D2: 4,8
* CNT   1 HDP CHAINS /   8 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...3.....2.1. initial
98.7.....6...9.7....7..5....4..3..2...8...5......51..4..65..9......4...3.....2.1. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E7,D8: 1.. / E7 = 1  =>  1 pairs (_) / D8 = 1  =>  1 pairs (_)
I7,G8: 2.. / I7 = 2  =>  1 pairs (_) / G8 = 2  =>  1 pairs (_)
F7,D9: 3.. / F7 = 3  =>  2 pairs (_) / D9 = 3  =>  1 pairs (_)
D5,F5: 4.. / D5 = 4  =>  0 pairs (_) / F5 = 4  =>  2 pairs (_)
H7,G9: 4.. / H7 = 4  =>  1 pairs (_) / G9 = 4  =>  1 pairs (_)
A7,H7: 4.. / A7 = 4  =>  1 pairs (_) / H7 = 4  =>  1 pairs (_)
A4,C4: 5.. / A4 = 5  =>  1 pairs (_) / C4 = 5  =>  1 pairs (_)
H8,I9: 5.. / H8 = 5  =>  0 pairs (_) / I9 = 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: 0:00:06.302077  START: 11:10:45.040998  END: 11:10:51.343075 2020-09-23
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F7,D9: 3.. / F7 = 3 ==>  0 pairs (*) / D9 = 3  =>  0 pairs (X)
* DURATION: 0:00:10.638872  START: 11:10:51.343681  END: 11:11:01.982553 2020-09-23
* REASONING F7,D9: 3..
* PRF # F7: 3 # D2: 4,8 => SOL
* STA # F7: 3 + D2: 4,8
* CNT   1 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

123;H16;GP;22;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F7,D9: 3..:

* INC # F7: 3 # D3: 4,6 => UNS
* INC # F7: 3 # D3: 1,2,3,8 => UNS
* INC # F7: 3 # G1: 4,6 => UNS
* INC # F7: 3 # H1: 4,6 => UNS
* INC # F7: 3 # F5: 4,6 => UNS
* INC # F7: 3 # F5: 7,9 => UNS
* PRF # F7: 3 # D2: 4,8 => SOL
* STA # F7: 3 + D2: 4,8
* CNT   7 HDP CHAINS /   8 HYP OPENED