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>

int main() {
    using namespace std;
    string S;
    cin >> S;
    if(S.size() & 1)return 0 & puts("No");
    for(unsigned long i{0}; i < S.size(); ++i)if((S[i] ^ (i & 1)) != 'h')return 0 & puts("No");
    puts("Yes");
    return 0;
}