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Basic Techniques

Line and Box Intersections

Subset Techniques

Seafood Techniques

Chain Techniques

Other Techniques

Hidden Single Numbers

If you look along the possible values for a column, there may be only one possible place in that row where a given number can be. Becuase each row has to have all of the numbers in once and once only, if there is only one place where that number can be, then it has to be there. The same is true for rows and blocks, where a number only appears once, it has to go.

   
  4
7 9
 8 
  9
 5 
 1 
   
23 
2 6
357
  8
  5
 9 
7  
8  
421
3 6
 4 
   
 7 
 3 
5  
 6 
6 2
9  
   
Example 1: Hidden single numbers

Looking at the highlighted cell in column 1. There are no other places in that column where we can place a 4, because:

  • There is a 4 in the top left 3x3 block
  • There is a 4 in the bottom left 3x3 block
  • There is a 4 in column 2

Therefore the only possible place we can put a 4 in column 1, is in [r6,c1].

Also known as:

  • Hidden Single (Simes)
  • Hidden Singles (AngusJ)
  • Directly Elimitanion (DonTsai)
  • Forced basic constraint (Dukuso)
  • Pinned Square (MadOverlord)

Keywords

block, cell, column, forced, forced basic constraint, given, hidden single, pinned, pinned square, row, single, square, value