Little C loves number «3» very much. He loves all things about it.

Now he has a positive integer n. He wants to split n into 3 positive integers a,b,c, such that a+b+c=n and none of the 3 integers is a multiple of 3. Help him to find a solution.

Input

A single line containing one integer n (3 ≤ n ≤ 10^9) — the integer Little C has.

Output

Print 3 positive integers a,b,c in a single line, such that a+b+c=n and none of them is a multiple of 3.

It can be proved that there is at least one solution. If there are multiple solutions, print any of them.

Examples

Input

3


Output

1 1 1

Input

233

Output

77 77 79

n = int(input().strip())
x = n//3
if x%3!=0 and (n-2*x)%3!=0:
	print(x,x,(n-2*x))
else:
	if x%3==0 and ((n-2*x)+2)%3!=0 :
		print(x-1,x-1,(n-2*x)+2)
	elif x%3==0 and ((n-2*x)+2)%3==0 :
		print(x+1,x+1,(n-2*x)-2)	
	elif (x-1)%3!=0:
		print(x,x-1,(n-2*x)+1)
	elif (x+1)%3!=0:
		print(x,x+1,(n-2*x)-1)
