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;
string a;
int main(){
	cin>>a;
	if(a.length()%2)puts("No");
	else{
		int flg=0;
        for(int i=0;i<a.size();i++)
			if(i%2==0&&a[i]!='h'||i%2==1&&a[i]!='i')flg=1;
		puts(flg?"No":"Yes");
	}
}