Here's a solution for those who are still stuck on it. If they frogs are numbered as follows..
L3 L2 L1 R1 R2 R3
Then the order you click them is - L1 R1 R2 L1 L2 L3 R1 R2 R3 L1 L2 L3 R2 R3 L3
I didn't double check that, so it's possible I made a mistake, but it should be okay.