Frogs and Lilypads - solution

One way to find the jumps that the frogs have to make to change lilypads is to untangle the lilypads. Here are the before and after pictures.

If you follow the lines from lilypad to lilypad in each picture, you will find that the order is just the same.

The solution in the circle picture is easy. Since frogs can't jump over each other, the only way they can meach the lilypads the want is to jump clockwise or counter-clockwise until they get there. Once you have the jumps figured out in the circle, the same sequence of jumps will work on the tangled pads.