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 <cstdio>
#include <cstring>
char s[15];
int main()
{
 scanf("%s",s+1);
 int len=strlen(s+1);
 for(int i=1;i<=len;i+=2)
  if(s[i]!='h'||s[i+1]!='i')
  {
   puts("No");
   return 0;
  }
 puts("Yes");
 return 0;
}