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;
int main(){int i,n,k=0;
string s;
cin>>s;n=s.size();
if(n%2){k=1;}
n/=2;
for(i=0;i<n;i++){if(s[2*i]!='h'||s[2*i+1]!='i'){k++;}}
if(k){cout<<"No";}
else{cout<<"Yes";}
    return 0;}