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
# -*- coding: utf-8 -*-
"""
511A
"""
n = int(input())

a = -1
b = -1
c = -1


temp = n//3
rem = temp%3
rem2 = n%3
if n==3:
    a = b = c =1
elif n==4:
    a = b = 1
    c = 2
elif n==5:
    a = b = 2
    c = 1
elif n==9:
    a = b = 2
    c = 5
elif n==10:
    a = b = 4
    c = 2
elif n==12:
    a = b = 2
    c = 8
elif (rem2)==0 and rem!=2:
    a = temp-5
    b = temp+1
    c = temp+4
elif (rem2)==0 and rem==2:
    a = temp
    b = temp
    c = temp
elif (rem2)==1 and rem==1:
    a = temp
    b = temp
    c = temp+1
elif (rem2)==1 and rem==0:
    a = temp-4
    b = temp+1
    c = temp+4
elif (rem2)==1 and rem==2:
    a = temp-1
    b = temp
    c = temp+2
elif (rem2)==2 and rem==0:
    a = temp-1
    b = temp+1
    c = temp+2
elif (rem2)==2 and rem==2:
    a = temp
    b = temp
    c = temp+2
elif (rem2)==2 and rem==1:
    a = temp-2
    b = temp
    c = temp+4
    
print(str(a) + ' ' + str(b) + ' ' + str(c) + '\n')