Cylinder#889
Using a sheet of paper and scissors, you can cut out two faces to form a cylinder in the following way:
Cut the paper horizontally (parallel to the shorter side) to get two rectangular parts.
From the first part, cut out a circle of maximum radius. The circle will form the base of the cylinder.
Roll the second part up so that its perimeter is equal to the circumference of the circle, and attach one end of the roll to the circle. Note that the roll may have overlapping paper in order to achieve the required length of the perimeter, since its radius must match the radius of the base.
Given the dimensions of the sheet of paper, construct the cylinder with the largest possible volume according to the procedure described above.
The input consists of several test cases. Each test case consists of two numbers and (1 \le w \le h \le 100), which indicate the width and height of the sheet of paper. The last test case is followed by a line containing two zeros, which should not be processed.
For each test case, print one line with the largest possible volume of a cylinder that can be constructed from the given sheet. The volume must be rounded to 3 decimal places.
Example 1