#include <bits/stdc++.h>
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define irep(i,a,b) for(int i=b;i>=a;i--)
#define pb push_back
#define endl "\n"

typedef long long int ll;


using namespace std;

void solve()
{
    int n;
    cin>>n;
    int root=0;
    while(n>0||root>9){
        if(n==0){
            n=root;root=0;
        }
        root=root+n%10;
        n=n/10;
    }
    
    cout<<root<<"\n";
    
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int t=1;
    // cin>>t;
    
    
    while(t--)
    {
        solve();
        
    
    }
    return 0;
}
### Prompt

Your task is to create a cpp solution to the following 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

### Response

```cpp
#include <bits/stdc++.h>
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define irep(i,a,b) for(int i=b;i>=a;i--)
#define pb push_back
#define endl "\n"

typedef long long int ll;


using namespace std;

void solve()
{
    int n;
    cin>>n;
    int root=0;
    while(n>0||root>9){
        if(n==0){
            n=root;root=0;
        }
        root=root+n%10;
        n=n/10;
    }
    
    cout<<root<<"\n";
    
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int t=1;
    // cin>>t;
    
    
    while(t--)
    {
        solve();
        
    
    }
    return 0;
}
```