Fax McClad in his research laboratory.

Fax McClad, Croneria's most scientific bounty hunter, is funding research for more efficient fuel.

There are $26$ different types of fuel molecules, labelled from a to z. Two fuel molecules of different types can react to become energy, annihilating the molecules. Thus, a fuel molecule can be a part of at most one reaction.

Fax's scientists have just received a batch of fuel molecules represented by a string $S$. Is it possible to react all fuel molecules?

Input Specification

The first line of input will contain a single integer, $|S|$ $(1\le |S|\le {10}^5)$, the length of $S$.

The second line of input will contain $S$, a string containing only characters a to z, representing fuel molecule types.

Output Specification

Output Yes if all molecules can be reacted, output No otherwise.

Sample Input 1

4
abca

Sample Output 1

Yes

Sample Input 2

4
aaba

Sample Output 2

No