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Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Starting at the square containing the $2$, you are allowed to move from one square to the next either across a common edge, or diagonally through a common corner.

How many different routes are there passing through exactly two squares containing a $0$ and ending in one of the squares containing a $9$?


 
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

 

This problem is taken from the UKMT Mathematical Challenges.

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