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())
if n<3:
    print(0,0,n)
else:
        
    if n//3 == n/3:
        if n//9==n/9:
            a = n//3
            print(a-2,a+1,a+1)
        else:
            a=n//3
            print(a,a,a)
    else:
        a = n//3
        d = n - 3*a
        if a//3==a/3:
            if d==1:
                print(a-1,a+1,a+1)
            else:
                print(a-1,a+2,a+1)
        elif a%3==1:
            if d==1:
                print(a,a,a+1)
            else:
                print(a,a+1,a+1)
        else:
            if d==1:
                print(a-1,a,a+2)
            else:
                print(a,a,a+2)
