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The two shaded squares are those on which the block began.
After the first move, it occupies the squares labelled $1$ (or $1/5$).
After the second move, it occupies the squares labelled $2$ and so on.
After the fifth and final move, it occupies the squares labelled $5$ (or $1/5$).
By the end, $19$ squares will have been occupied altogether.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.