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Snake - 4 pieces

What do you have to do?
In this game, you see four black pieces on the chessboard.
If you would connect them, they'd form a ‘snake’.
You have to ‘eat’ the whole snake with the white piece.

Look out! The snake’s pieces protect each other.
You can’t capture a defended piece.
So, think before you make your first move.

There is always only one undefended black piece.
That is the snake’s head. Start with taking this head.
Now, look for another loose piece and eat that.
Then, find the third unprotected black piece and eat it.
The final piece is the snake’s tail. It is now safe to eat that as well.