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
x=eval(input())
a=x//3 
b=x//3
c=x-a-b
if a%3==0  and   b%3==0:
  a-=1
  b-=1
  c+=2
if a%3==0  and   c%3==0:
  a-=1
  c-=1
  b+=2
if b%3==0   and  c%3==0:
  b-=1
  c-=1
  a+=2
if a%3==0  and  b%3==1:
  a-=1 
  b+=1
if  a%3==0  and  b%3==2:
  a+=1
  b-=1
if a%3==0  and  c%3==1:
  a-=1 
  c+=1
if  a%3==0  and  c%3==2:
  a+=1
  c-=1  
if c%3==0  and  b%3==1:
  c-=1 
  b+=1
if  c%3==0  and  b%3==2:
  c+=1
  b-=1
if c%3==0  and  a%3==1:
  c-=1 
  a+=1
if  c%3==0  and  a%3==2:
  c+=1
  a-=1
if b%3==0  and  a%3==1:
  b-=1
  a+=1
if  b%3==0  and  a%3==2:
  b+=1
  b-=1
if b%3==0  and  c%3==1:
  b-=1
  c+=1
if  b%3==0  and  c%3==2:
  b+=1
  c-=1
print(a,b,c)  
