1047_A. Little C Loves 3 I
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
```python
def main():
    n = int(input())
    if (n % 3 == 0) or (n % 3 == 1):
        print(1, 1, n - 2)
    else:
        print(1, 2, n - 3)


if __name__ == '__main__':
    main()

```