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 Ruby (2.3.3) (judge verdict: Runtime Error)

def fact(n);(1..n).inject(1){|r,a|r*a}end
X, Y = gets.chomp.split(" ").map(&:to_i)
m = (2*Y - X)%3==0 ? (2*Y - X)/3 : nil 
n = (2*X - Y)%3==0 ? (2*X - Y)/3 : nil
if m && n
  puts (fact(m+n)/(fact(m)*fact(n))) % (10**9 + 7)
else
  puts 0
end