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SUDOKU - RULES AND STRATEGIES

STRATAGIES FOR SOLVING SUDOKU PUZZLES

Chapter 1. Scan for clear constellations

First you have to start to scan your Sudoku puzzle for clear constellations. That means to find a number in a 3x3 cluster, a row or a column, that is only placable in one field, because all the other possibilities are excluded. You usally start scan with ‘1’, followed by ‘2’, ‘3’ and so on up to number 9.

In the right picture there is shown such a clear constellation. The both upper right 3x3 clusters have already included a ‘1’ also the bottom left one. Well, through these three 1’s there are three dotted lines. They should tell you, that in all these free fields, line walks through, it is not allowed to fill in a number one. Now follow the lines in direction to the top left 3x3 cluster. In this cluster there still a ‘1’ missing. But all free fields, except one, can be exluded (because of the dotted lines). Now you’ve got a clear constellation - put the ‘1’ in the top left field.

STRATEGY 1:
Scan Sudoku puzzle systematically for clear constellationen. That’s the easiest way to solution.

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Chapter 2. Complete rows, columns and 3x3 clusters

For completing an item, it is important that only a few numbers are unknown - maximum is about three. .  Complete by using excluding methods.

The sudoku puzzle on the left shows three empty cells in the first row, signed with blue, green and yellow question marks. To find out missing numbers we have to fix which one are still missed in the first line - these are ‘4’, ‘7’ and ‘8’. After that let’s have a look at the left (blue) field in the left-top 3x3 cluster. In this cell the residual numbers ‘4’ and ‘8’ could be placed, but  if you look on the both adjacent 3x3 clusters, there is already an ‘8’ in each. According to our rules, the result is that the 8 has to be filled in our blue cell.

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Now, there only remain ‘4’ and ‘7’. As you can see on the right picture, further solution is quite easy. In the column of our second (green) question mark there is already a ‘7’, that means you are only allowed to fill in no. ‘4’.
At last there only one number for one left cell in our sudoku puzzle. The yellow number is 7. .

STRATEGY 2:
Complete rows, columns and 3x3 clusters by using exclusion.

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Chapter 3. Combine different strategies

STRATEGY 3:
Combine and alternate strategy 1 and 2.

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