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
def c_kocha_3(x):
    if x//3 == (x//3)*3:
        print(x//3, " ", x//3, " ", x//3)
    a = 0
    b = 0
    c = 0
    a = x//3
    if a % 3 == 0:
        if (a+1) % 3 != 0:
            a += 1
        else:
            a -= 1
    b = a
    c = x - (a+b)
    if c % 3 == 0:
        if (a+1) % 3 != 0:
            c -= 1
            a += 1
        else:
            c += 1
            a -= 1
    print(a, b, c)

x = int(input())
c_kocha_3(x)

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