Problem: Write a program which calculates the area and circumference of a circle for given radius r.

Constraints

* 0 < r < 10000

Input

A real number r is given.

Output

Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.

Examples

Input

2


Output

12.566371 12.566371


Input

3


Output

28.274334 18.849556

Solution (in PYTHON):

Solution:
import math
a = float(input())
b = math.acos(-1)
print "%f %f" % (a * a * b , 2 * a * b)