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
from sys import stdin, stdout
import cProfile, math
from collections import Counter

printHeap = str()
test = False
memory_constrained = False


def display(string_to_print):
    stdout.write(str(string_to_print) + "\n")


def test_print(output):
    if test:
        stdout.write(str(output) + "\n")


def display_list(list1, sep=" "):
    stdout.write(sep.join(map(str, list1)) + "\n")


def get_int():
    return int(stdin.readline().strip())


def get_tuple():
    return map(int, stdin.readline().split())


def get_list():
    return list(map(int, stdin.readline().split()))


memory = dict()


def clear_cache():
    global memory
    memory = dict()


def cached_fn(fn, *args):
    global memory
    if args in memory:
        return memory[args]
    else:
        result = fn(*args)
        memory[args] = result
        return result


# ----------------------------------------------------------------------------------- MAIN PROGRAM


def main():
    x = get_int()
    nos = list()
    k, b = x//3, x%3
    if (b==1):
        if (k%3==0):
            nos = [k-1,k+1,k+1]
        else:
            nos = [k,2*k,1]
    elif b==2:
        if (k%3==0):
            nos = [k-1,k+1,k+2]
        else:
            nos = [k,2*k,2]
    else:
        if (k%3==0):
            nos = [k-1,k-1,k+2]
        else:
            nos = [k,k,k]
    display_list(nos)





# --------------------------------------------------------------------------------------------- END


cProfile.run('main()') if test else main()