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

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