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())
z=n//3
c=z%3
b=n%3
#print(z,b,3*a+b)
if n%3==0 and z%3==0:
    print(z+1,z+1,z-2)
elif n%3==0 and z%3!=0:
    print(z,z,z)
elif n%3!=0 and z%3==0:
    if b==1:
        print(z+1,z+1,z-1)
    if b==2:
        print(z-1,z+2,z+1)
elif n%3!=0 and z%3!=0:
    if c==1 and b==1:
        print(z,z,z+1)
    if c==1 and b==2:
        print(z+1,z,z+1)
    if c==2 and b==1:
        print(z+2,z,z-1)
    if c==2 and b==2:
        print(z+2,z,z)
