Problem: Many people are aware of DMCA – Digital Millennium Copyright Act. But another recently proposed DMCA – Digital Millennium Calculation Act – is much less known.

In this problem you need to find a root of a number according to this new DMCA law.

Input

The input contains a single integer a (1 ≤ a ≤ 1000000).

Output

Output the result – an integer number.

Examples

Input


1


Output


1


Input


81


Output


9

Solution (in CPP):

Solution:
#include<bits/stdc++.h>
#include<math.h>
#include<unordered_map>
#include<string.h>
typedef long long int lli;
using namespace std; 
  
int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0); 
	cout.tie(0);
  lli n,nn,i,j,t,b,p,q,r;p=0;
  cin>>n; nn=n;
  while(nn>0){
  	p=0;
  while(n>0)
   { p=p+n%10;
    n=n/10; 
   }n=p; b=p; nn=p;
   if(p<10)
   break;
    
    }cout<<p;
}