Echo

Given are a positive integer N and a string S of length N consisting of lowercase English letters.

Determine whether the string is a concatenation of two copies of some string. That is, determine whether there is a string T such that S = T + T.

Constraints

• 1 \leq N \leq 100
• S consists of lowercase English letters.
• |S| = N

Input

Input is given from Standard Input in the following format:

N S

Output

If S is a concatenation of two copies of some string, print Yes; otherwise, print No.

Examples

Input

6 abcabc

Output

Yes

Input

6 abcadc

Output

No

Input

1 z

Output

No

inputFormat

Input

Input is given from Standard Input in the following format:

N S

outputFormat

Output

If S is a concatenation of two copies of some string, print Yes; otherwise, print No.

Examples

Input

6 abcabc

Output

Yes

Input

6 abcadc

Output

No

Input

1 z

Output

No

样例

6
abcadc

No