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.

Sample Input 1

dIfFiCuLt

Sample Output 1

Yes

The odd-positioned characters are all lowercase and the even-positioned characters are all uppercase, so it is hard-to-read.

Sample Input 2

eASY

Sample Output 2

No

The $3$-rd character is not lowercase, so it is not hard-to-read.

Sample Input 3

a

Sample Output 3

Yes