Problem Statement

We call a string hard-to-read when its odd-positioned ($1$-st, $3$-rd, $5$-th, ... from the beginning) characters are all lowercase English letters and its even-positioned characters ($2$-nd, $4$-th, $6$-th, ... from the beginning) are all uppercase English letters.

Determine whether a string $S$ is hard-to-read.

Constraints

• $S$ consists of uppercase and lowercase English letters.
• The length of $S$ is between $1$ and $1000$ (inclusive).

Input

Input is given from Standard Input in the following format:

S

Output

If $S$ is hard-to-read, print Yes; otherwise, print No.