#P1003. Area of triangles——三角形面积

Area of triangles——三角形面积

Statement

Given a triangle with sides of length aa, bb, and cc, its area is p(pa)(pb)(pc)\sqrt{p(p-a)(p-b)(p-c)}, where p=12(a+b+c)p=\frac{1}{2}(a+b+c). Input these three numbers and calculate the area of the triangle, rounded to 11 decimal place. If the three sides cannot form a triangle, output No

Input

Input three real numbers a,b,ca, b, c on the first line, separated by spaces.

Output

Output a real number representing the area of the triangle, accurate to 11 decimal place. If it cannot be formed, output No.

Samples

3 4 5
6.0
3 14 5
No

Notes

0a,b,c10000\leq a,b,c\leq 1000, and each edge length is input with no more than 22 decimal places.