Intersection — Eolymp

Input

The first line contains three numbers separated by spaces: the coordinates of the center of the circle ( $X_{0}$ X_0 and $Y_{0}$ Y_0) and the radius of the circle $R$ . The second line contains three numbers separated by spaces: the coordinates of the lower left corner ( $X$ and $Y$ ) and the side length of the square $S$ . All numbers are in the range from $1$ to $20$ .

Output

Output a single number: the area of intersection of the circle and the square, rounded to two decimal places.

Examples

Example 1

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