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())
a=n//3
b=n//3
c=n//3
c+=n%3
d1=a%3
d2=c%3
if(d2==0 and d1==0):
    a+=1
    b+=1
    c-=2
elif(d2==0):
    if(d1==1):
        c-=1
        a+=1
    elif(d1==2):
        c-=2
        a+=2
elif(d1==0):
    if(d2==1):
        c+=3
        a-=1
        b-=2
    elif(d2==2):
        c+=2
        a-=1
        b-=1
print(str(a)+" "+str(b)+" "+str(c))