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IG: Initial Grid

This method is the first you use to initiate the solution table. If cell R1C2 contains the number 7 you can remove 7 from whole R1, C2 and B1 (not R1C2).

  7   4       9  
    3 1     5    
  5       7   2  
    4 3   1   6 7
        6        
7 3   5   9 2    
  8   2       4  
    5     6 8    
  9       4   1  

12345689 123456789 12345689 12345689 12345689 12345689 12345689 12345689 12345689
12345689 12345689 12345689 123456789 123456789 123456789 123456789 123456789 123456789
12345689 12345689 12345689 123456789 123456789 123456789 123456789 123456789 123456789
123456789 12345689 123456789 123456789 123456789 123456789 123456789 123456789 123456789
123456789 12345689 123456789 123456789 123456789 123456789 123456789 123456789 123456789
123456789 12345689 123456789 123456789 123456789 123456789 123456789 123456789 123456789
123456789 12345689 123456789 123456789 123456789 123456789 123456789 123456789 123456789
123456789 12345689 123456789 123456789 123456789 123456789 123456789 123456789 123456789
123456789 12345689 123456789 123456789 123456789 123456789 123456789 123456789 123456789

When you have entered all the numbers from the sudoku into the solution table it will look like this:

1268 7 1268 4 2358 2358 136 9 1368
24689 246 3 1 289 28 5 78 468
14689 5 1689 689 389 7 1346 2 13468
2589 2 4 3 28 1 9 6 7
12589 12 1289 78 6 28 1349 358 134589
7 3 168 5 48 9 2 8 148
136 8 167 2 13579 35 3679 4 3569
1234 124 5 79 1379 6 8 37 239
236 9 267 78 3578 4 367 1 2356

As you probably se the solution table now have only 1 number in all the cells which the sudoku started with.

SiSo: Single Solution

After reducing the solution table according to IG the solution table also have only 1 number in other cells. These cells have been reduced in the process and can now be entered into the sudoku.
1268 7 1268 4 2358 2358 136 9 1368
24689 246 3 1 289 28 5 78 468
14689 5 1689 689 389 7 1346 2 13468
2589 2 4 3 28 1 9 6 7
12589 12 1289 78 6 28 1349 358 134589
7 3 168 5 48 9 2 8 148
136 8 167 2 13579 35 3679 4 3569
1234 124 5 79 1379 6 8 37 239
236 9 267 78 3578 4 367 1 2356

The new sudoku will then look like this

  7   4       9  
    3 1     5    
  5       7   2  
  2 4 3   1 9 6 7
        6        
7 3   5   9 2 8  
  8   2       4  
    5     6 8    
  9       4   1  
When you enter the numbers into the sudoku you must remember to remove them from row, column and box in the the solution table too. After removing these 3 new numbers from the solution table we got even more new numbers as solutions. Actually, this sudoku is SiSo-solvable. Meaning, we can solve the whole sudoku using only the SiSo-method. If you continue inserting the solutions into the sudoku and removing them from the solution table you will eventually solve the sudoku without even doing anything else than crossing out numbers from the rows, columns or boxes.

It is easy to overlook a solution which has appeared in the solution table when you have removed numbers, so it is smart to compare the solution table with the sudoku once in a while. The SiSo is the simplest and most important method to solve a sudoku.