Total Area of Flower Beds

You are given five integers: r, l, w, a, and h. These represent the dimensions of three distinct flower beds:

• A circular flower bed with radius \(r\). Its area is given by \(\pi \times r^2\).
• A rectangular flower bed with length \(l\) and width \(w\). Its area is \(l \times w\).
• A triangular flower bed with base \(a\) and height \(h\). Its area is \(\frac{1}{2} \times a \times h\).

Your task is to calculate and output the total area of all three flower beds. The formula to compute the total area is:

\[ A = \pi \times r^2 + l \times w + \frac{1}{2} \times a \times h \]

The answer must be output as a floating-point number.

inputFormat

The input is provided via stdin and consists of a single line containing five space-separated integers:

• r - radius of the circular flower bed
• l - length of the rectangular flower bed
• w - width of the rectangular flower bed
• a - base of the triangular flower bed
• h - height of the triangular flower bed

outputFormat

Output the total area computed from the provided dimensions. The result should be printed to stdout as a floating-point number. No extra characters or spaces should be included in the output.

3 4 6 5 2

51.56637061435917