## The Three (Sudoku) Musketeers

A nice case of solving a sudoku with what we know is not true, rather than what we know is true. Taken from a game I played not long ago, a medium sudoku, which I wrote about in the Ilusive 6 article as well.

I was trying to complete the entire right sudoku row, and saw that I was
missing the 5,6 and 8 digits. The following image shows what I was
solving for:

Before reading on - let's see if you can place them, or at least some of
them.

Did you get it? Well done sir! Read on to find my solution.

#### My initial approach

If you are not a first time reader, you know that I first look for other digits of the same kind that can help me determine where my missing digits can go.

I like to go through each digit at a time and not chase them all at
once, so I started with number 5.

These are the options I had to place it in and my initial analysis of is
it was valid or not:

The bottom (red) 5 is not possible because of the 5 in the bottom left box. The other two are good possibilities, but I can't decide which is correct, yet.

#### Use the unsolvable to solve

So no final decision on the 5 yet, so I continue to explore the 6 and 8,
and easy enough we can see that they both **can't** be on
the 2nd cell from the bottom:

That leaves us with only one option, placing the 5 in the 2nd cell from the bottom and calling it "another Sudoku challenge solved"

Thank you for reading!

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