Leaping+Frogs

media type="custom" key="1916087"

The object is to move all the frogs from one side to the other- they can only hop or slide in the direction they are facing (click on a frog above to make him hop).

Could you solve a simpler puzzle with only 1 or 2 frogs on one side of the empty space? Count the number of moves needed to solve each puzzle, and put them in the table below. I counted the moves in a puzzle with 5 frogs. Can you find a pattern that might give the number of moves to solve a puzzle with 4 frogs on one side of the empty space? [|This applet] may help you count.


 * Extra Credit:** Explain *why* this pattern works for these puzzles...


 * **Number of frogs on one side of the empty space** || **Number of moves to solve the puzzle** ||
 * 1 ||  ||
 * 2 ||  ||
 * 3 (this puzzle) ||  ||
 * 4 ||  ||
 * 5 || 35 ||