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
e= int(input())
if e%3==0:
    a=e//3
    if a%3==0:
        b=a-1
        c=a-1
        a=a+2
    else:
        b=a
        c=a
    
    print ("{} {} {}".format(a,b,c))


elif e%3==1:
    a=e//3
    if a%3==0:
        b=a+1
        c=a+1
        a=a-1
    elif a%3==1:
        b=a
        c=a+1
    else:
        b=a-1
        c=a+2
    print ("{} {} {}".format(a,b,c))

        
elif e%3==2:
    a=e//3
    if a%3==0:
        b=a+2
        c=a+1
        a=a-1
    elif a%3==1:
        b=a+1
        c=a+1
    else:
        b=a
        c=a+2
    print ("{} {} {}".format(a,b,c))
    
        
