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=int(n/3)
hasil=[a,a]

hasil.append(n-a-a)

#print(hasil)

if(a%3==0):
        hasil[0]+=1
        hasil[1]-=1

b=n-a-a

if(b%3==0):
        hasil[2]+=1
        hasil[1]-=1
        if(hasil[1]%3==0):
            hasil[0]+=1
            hasil[1]-=1

if(n==5):
        hasil=[2,1,2]

print(hasil[0],hasil[1],hasil[2])



        
