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())

a, b, c = N//3, N//3, N//3
r = N % 3


if a % 3 == 1:
    if r == 1:
        a += 1
    elif r == 2:
        a += 1
        b += 1
    print(a,b,c,sep=' ')
elif a % 3 == 2:
    if r == 1:
        a += 2
        b -= 1
    elif r == 2:
        a += 2
    print(a,b,c,sep=' ')
else:
    if r == 0:
        a -= 1
        b -= 1
        c += 2
    elif r == 1:
        a += 1
        b += 1
        c -= 1
    elif r == 2:
        a += 1
        b += 2
        c -= 1
    print(a,b,c,sep=' ')


