On the Subject of Untangle

Getting closer to solving this mess...

On the module will be 25 pegs arranged in a 5 by 5 grid. There will also be about 30 lines, each connecting two pegs.

Select a peg to lift it up off of the board. While a peg is held, select another peg to swap that peg with the one currently being held. Select the lifted peg to set it back down.

To solve the module, rearrange all of the pegs such that no lines cross. There will always be a solution such that all of the pegs with lines fit into a 4 by 5 grid. Note that two lines being on top of each other counts as crossing.