Problems
Heron
Heron
The sides a, b, c, d and the diagonal f of a convex quadrilateral are given. Find the area of a quadrilateral, using the Heron’s formula that calculates the area of a triangle.
Input data
In one line five real numbers are given: a, b, c, d, f (0 < a, b, c, d, f ≤ 100). They are the lengths of segments as shown in the picture.
Output data
Print one number - the area of a quadrilateral calculated with accuracy of 4 digits after the decimal point.
Examples
Input example #1
3 4 4 2 5
Output example #1
9.7997