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=input()
print 1,
n-=1
if n==2:
    print 1,1
elif n%2==0 and (n/2)%3!=0:
    print n/2,n/2
elif n%2==0 and (n/2)%3==0:
    print n/2-1,n/2+1
else:
    n-=1
    if (n/2)%3==0:
        print n/2+2,n/2-1
    else:
        n/=2
        if (n-1)%3==0:
            print n,n+1
        else:
            print n-1,n+2