A Hitachi string is a concatenation of one or more copies of the string `hi`.

For example, `hi` and `hihi` are Hitachi strings, while `ha` and `hii` are not.

Given a string S, determine whether S is a Hitachi string.

Constraints

* The length of S is between 1 and 10 (inclusive).
* S is a string consisting of lowercase English letters.

Input

Input is given from Standard Input in the following format:


S


Output

If S is a Hitachi string, print `Yes`; otherwise, print `No`.

Examples

Input

hihi


Output

Yes


Input

hi


Output

Yes


Input

ha


Output

No
#include "bits/stdc++.h"
using namespace std;
#define LL long long
 
int main()
{
  string s;
  cin>>s;
  for(int i=0;i<s.size();i+=2){
      if(s[i]!='h' or s[i+1]!='i'){
           cout<<"No"<<"\n";
           return 0;
      }
  }
  cout<<"Yes"<<"\n";
}