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
n=int(input())
s=input()
t=s[:(n//2)]
if s==t*2:
    print("Yes")
else:
    print("No")