E. HQ
time limit per test
2 seconds
memory limit per test
256 megabytes
input
stdin
output
stdout

The famous joke programming language HQ9+ has only 4 commands. In this problem we will explore its subset — a language called HQ...

Input

The only line of the input is a string between 1 and 106 characters long.

Output

Output "Yes" or "No".

Examples
Input
HHHH
Output
Yes
Input
HQHQH
Output
No
Input
HHQHHQH
Output
No
Input
HHQQHHQQHH
Output
Yes
Note

The rest of the problem statement was destroyed by a stray raccoon. We are terribly sorry for the inconvenience.