Problem:
Score : 300 points

Problem Statement

You are given an integer N.

Find a triple of positive integers h, n and w such that 4/N = 1/h + 1/n + 1/w.

If there are multiple solutions, any of them will be accepted.

Constraints

It is guaranteed that, for the given integer N, there exists a solution such that h,n,w \leq 3500.

Inputs

Input is given from Standard Input in the following format:

N

Outputs

Print a triple of positive integers h, n and w that satisfies the condition, in the following format:

h n w

Sample Input 1

2

Sample Output 1

1 2 2

4/2 = 1/1 + 1/2 + 1/2.

Sample Input 2

3485

Sample Output 2

872 1012974 1539173474040

It is allowed to use an integer exceeding 3500 in a solution.

Sample Input 3

4664

Sample Output 3

3498 3498 3498

Solution in Fortran (gfortran v4.8.4) (judge verdict: Wrong Answer)

program main
	implicit none
	real*8 c
	integer h,n,w
	read(*,*)c
	c=4/c
	do h=1,3500
		do n=h,3500
			do w=n,3500
				if(abs(c-(1/real(n)+1/real(h)+1/real(w)))<=0.000001)goto 10 
			enddo
		enddo
	enddo
10 write(*,*)h,n,w
end program main