Write a program that computes the area of intersection of the circle and a square with sides parallel to the axes. \InputFile The first line contains three numbers, separated by space - the coordinates of the center of the circle\textbf{X_0} and \textbf{Y_0}) and radius of the circle \textbf{R}. The second row contains three numbers, separated by space - the coordinates of the lower left corner (\textbf{X} and \textbf{Y}) and the size of the square \textbf{S}. All numbers are in the range of \textbf{1} to \textbf{20}. \OutputFile Display single number - the area of intersection of the circle and square with two decimal signs.