Circle

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

inputFormat

Input

A real number r is given.

outputFormat

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

样例

2

12.566371 12.566371