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 = input()
r = n%3
d = n/3
if r is 0 and d%3==0:
    a = d-1
    b = d-1
    c = d+2
else:
    if r is 0 and d%3!=0:
        a = d
        b = d
        c = d
    else:
        if r!=0 and d%3==0:
            a = d-1
            b = d-2
            c = d+3+r
        else:
            if r!=0 and d%3!=0:
                if (d+r)%3==0:
                    a=d
                    b=r
                    c=2*d
                else:
                    a=d
                    b=d
                    c=d+r



print str(a)+" "+str(b)+" "+str(c)
