SUDOKU #2  
 

I'm going to repeat the info at the top of Sudoku #1, just in case you haven't seen that one yet.
 
I've been doing Sudoku for a while.  There are a lot of people like me who have figured out some tricks or techniques that help them complete the puzzles.  This page is not really for them.  I met a woman recently who was just starting to try to do Sudoku.  This page is for people like her.  I'm not saying that I know every single trick, but I know enough to complete most puzzles.
 
The basic rules of Sudoku are that there is only one of each number in each row, column, and 9 square grid.  There isn't any mathematics or arithmetic.  If you know how to count from 1 to 9, then you can do these puzzles.  All of the techniques are based on this rule.
 
Here is a sample Sudoku puzzle.
 
    1       9 6 2   5  
            8     6    
        6 3     4 7    
    6   8   5       4  
            2          
    2       3   7   6  
      1 4     9 3      
      5     4          
    3   9 2 7       1  
 
This is a medium difficulty puzzle, and it will allow me to show some examples of a few of the tricks that I've uncovered.  I've added the letters below to the rows and columns in order to talk about each of the 81 squares.  As a convention, I will talk about squares and boxes.  There are 81 squares, but there are 9 boxes of 9 squares.
     
  A 1       9 6 2   5  
  B         8     6    
  C     6 3     4 7    
  D 6   8   5       4  
  E         2          
  F 2       3   7   6  
  G   1 4     9 3      
  H   5     4          
  I 3   9 2 7       1  
  J K L M N O P Q R  
                         
The first technique that I will use is the lines of influence concept.  This is what I mean.  There is a 1 at AJ and another at IR, so there can't be another 1 in row A or column R.  So there has to be a 1 at BP.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3     4 7      
  D 6   8   5       4    
  E         2            
  F 2       3   7   6    
  G   1 4     9 3        
  H   5     4            
  I 3   9 2 7       1    
    J K L M N O P Q R    
                             
There is a 4 in columns P and R, and there are 4s in rows G and H, so there has to be a 4 at IQ.
             
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3     4 7      
  D 6   8   5       4    
  E         2            
  F 2       3   7   6    
  G   1 4     9 3        
  H   5     4            
  I 3   9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 2 in column J and another in row I, so there has to be a 2 in HL.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3     4 7      
  D 6   8   5       4    
  E         2            
  F 2       3   7   6    
  G   1 4     9 3        
  H   5 2   4            
  I 3   9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 3 in columns M and N, and there is a 3 in row I, so there has to be a 3 at HO.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3     4 7      
  D 6   8   5       4    
  E         2            
  F 2       3   7   6    
  G   1 4     9 3        
  H   5 2   4 3          
  I 3   9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 6 in columns J and L, so there has to be a 6 in IK.  There is a 6 in columns Q and R, and now there is a 6 in row I, so there has to be a 6 in HP.  There is a 6 in column O, so there has to be a 6 in EM.  The final 6 goes in GN.  So there has to be a 1 in CN.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3 1   4 7      
  D 6   8   5       4    
  E       6 2            
  F 2       3   7   6    
  G   1 4   6 9 3        
  H   5 2   4 3 6        
  I 3 6 9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 2 in rows E and F, and there is a 2 in column P, so there has to be a 2 in DQ.  There is a 2 in columns P and Q, and there is a 2 in row H, so there has to be a 2 in GR.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3 1   4 7      
  D 6   8   5     2 4    
  E       6 2            
  F 2       3   7   6    
  G   1 4   6 9 3   2    
  H   5 2   4 3 6        
  I 3 6 9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 3 in row F and in column P, so the 3 in box DP-FR is either in EQ or ER.  That means that there can't be a 3 in row E in the other two boxes to the left.  There already is one in the center box in row F, so the one in box DJ-FL has to be in row D at square DK.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3 1   4 7      
  D 6 3 8   5     2 4    
  E       6 2            
  F 2       3   7   6    
  G   1 4   6 9 3   2    
  H   5 2   4 3 6        
  I 3 6 9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 7 in row I and one in column Q, so there has to be a 7 in HR.  That means that there is a 7 in GJ, which leaves the 8 in HJ.
         
  A 1       9 6 2   5    
  B         8   1 6      
  C     6 3 1   4 7      
  D 6 3 8   5     2 4    
  E       6 2            
  F 2       3   7   6    
  G 7 1 4   6 9 3   2    
  H 8 5 2   4 3 6   7    
  I 3 6 9 2 7     4 1    
    J K L M N O P Q R    
                         
There is a 9 in rows G and I, so there has to be a 9 in HQ and therefore a 1 in HM.
         
  A 1