2011. Goat in the Garden

Easy编程基础基本数据类型输入输出基本算法

时间限制:2000 ms

内存限制:256 MiB

题面

Someone has let a goat in a square kitchen-garden and had bound it to a stake. The stake is driven into the ground in the very midst of the square. The goat is hungry as a hunter and very voracious, and eats everything that can be reached without leaving the square and tearing the roap. What area of the kitchen-garden will be ate round?

输入格式

There are several test cases.Each contains lengths of the garden sides and a cord length in meters (natural numbers not exceeding 100100, located in one line and separated with a space).

输出格式

Should contain an area of the kitchen-garden (in square meters to within 33 symbols after a decimal point), ate round by the goat.

样例

输入

10 6

输出

95.091