# A Froggy Game of Logic

Logic Level 4

There are 5 green frogs on the left side of the swamp and 5 blue frogs on the right side of the swamp. They are sitting on rocks. The central rock is empty.

Your task is to swap their places. i.e.: at the end the 5 blue frogs should be on the left, the 5 green frogs should be on the right and the central rock should be free.

Each frog can only move forward. The direction of travel is shown by the respective arrows.

A frog can advance by one step, if the space in front of it is free.

A frog can jump over another, only if the other frog is of the other color. You can jump over only one frog of other color at a time into the vacant space immediately behind it.

How many moves would it take for the green and blue frogs to swap places?

Can you generalize for $$n$$ frogs on either side?

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