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 <iostream>
using namespace std;
int main() {
  string s; cin>>s; bool ok=true;
  int n=s.size(); if (n%2) ok=false;
  for(int i=0;i<n;i++) {
    if (i%2==0 && s[i]!='h') ok=false;
    if (i%2==1 && s[i]!='i') ok=false;
  }
  cout<<(ok?"Yes":"No")<<endl;
}