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## 'Walking the Squares' printed from http://nrich.maths.org/

So here's a special square of tiles to walk on!

The black square in the middle contains some very special
prizes.

You can get the prizes by collecting tokens which are on each
tile. So you have to step on as many tiles as possible.

BUT

You cannot go onto any tile more than once.

You are not allowed to step on more than two tiles of the same
colour one after another.

So this path would be OK.

But this path is not allowed;

Why? Because the path goes along $3$ blues which is not
allowed, the blue to green is OK but then tere are $4$ green tiles
one this path next to each other and that is also not
allowed.

You can start anywhere on the outside like in the OK example
above.