Problem 2

Tom needs to make a rectangular box for his physics class project. He has bought P cm of wire and S (cm*cm) of special paper. He would like to use all the wire (for the 12 edges) and paper (for the 6 sides) to make the box.

Print a real number that is the largest volume of the box that Tom can make, rounded to two decimal places.

Sample Input 1:

20 14

Sample Output 1:

3.00

Output details: the dimensions of the largest box may be 3, 1 and 1.

Sample Input 1:

20 16

Sample Output 2:

4.15

Output details: the dimensions of the largest box may be 7/3, 4/3 and 4/3.