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==0:
    a=n//3-1
    b=n//3
    c=n//3+1
    if a%3==0:
        a-=1
        b+=1
    else:
        if b%3==0:
            b-=1
            c+=1
        else:
            c-=1
            a+=1
else:
    if n%3==1:
        a=n//3
        b=n//3
        c=n//3+1
        if a%3==0:
            a-=1
            b+=1
        else:
            if c%3==0:
                c+=1
                a-=1
    else:
        a=n//3
        b=n//3
        c=n//3+2
        if a%3==0:
            a-=1
            b+=1
        else:
            if c%3==0:
                c-=1
                b+=1
if n==0:
    a=0
    b=0
    c=0
if n==1:
    a=0
    b=0
    c=1
if n==2:
    a=0
    n=1
    c=1
if n==3:
    a=1
    b=1
    c=1
print(a," ",b," ",c)
    
