The definition of an 11/22 string in this problem is the same as in Problems C and E.

A string $T$ is called an 11/22 string when it satisfies all of the following conditions:

• $|T|$ is odd. Here, $|T|$ denotes the length of $T$.
• The $1$-st through $(\frac{|T|+1}{2} - 1)$-th characters are all 1.
• The $(\frac{|T|+1}{2})$-th character is /.
• The $(\frac{|T|+1}{2} + 1)$-th through $|T|$-th characters are all 2.

For example, 11/22, 111/222, and / are 11/22 strings, but 1122, 1/22, 11/2222, 22/11, and //2/2/211 are not.

Given a string $S$ of length $N$ consisting of 1, 2, and /, determine whether $S$ is an 11/22 string.

The input is given from Standard Input in the following format:

$N$

$S$
						

If $S$ is an 11/22 string, print Yes; otherwise, print No.

11/22 satisfies the conditions for an 11/22 string in the problem statement.

/ satisfies the conditions for an 11/22 string.

1/22 does not satisfy the conditions for an 11/22 string.