Problem:
Score : 100 points

Problem Statement

Given is an integer r.

How many times is the area of a circle of radius r larger than the area of a circle of radius 1?

It can be proved that the answer is always an integer under the constraints given.

Constraints

1 \leq r \leq 100

All values in input are integers.

Input

Input is given from Standard Input in the following format:

r

Output

Print the area of a circle of radius r, divided by the area of a circle of radius 1, as an integer.

Sample Input 1

2

Sample Output 1

4

The area of a circle of radius 2 is 4 times larger than the area of a circle of radius 1.

Note that output must be an integer - for example, 4.0 will not be accepted.

Sample Input 2

100

Sample Output 2

10000

Solution in Python (3.4.3) (judge verdict: Runtime Error)

import math
X,Y = map(int,input().split())
def comb(n,r):
    return math.factorial(n) // (math.factorial(n-r) * math.factorial(r))
if (X+Y)%3 != 0:
    print(0)
else:
    n = int((2*Y-X)/3)
    m = int((2*X-Y)/3)
    print((comb(n+m,min([n,m])))%(10**9+7))