If there are no three passwords with the required properties, print ``\texttt{No}'' in the only line.

Otherwise, print ``\texttt{Yes}'' in the first line. Then print passwords $s$, $t$, and $u$ in the following three lines. Each password should consist of at least $1$ and at most $5000$ lowercase English letters.

If there are multiple triples of passwords that meet the requirements, print any of them.