Alternate Palindrome

 

Description

Given a string of even length , we choose characters alternatively starting from front then back then front and so on and check whether the string so formed is a palindrome or not.

A string is a palindrome if it reads same forwards and backwards.

Note: String contains lowercase English alphabet, and it is 0-index based


e.g.:

"abab", string formed if we choose element at 0th index then last index then 1st and then second last and so on till we exhaust the string.

string formed : "abba", it is a palindrome, so output will be "yes"

Input

Input Format:

First line of input contains the number N , denoting the length of the string

Second line of input contains the string.

Constraints:

1<=N<=500

Output

Output "yes" or "no"

Sample Input 1 

4
abab

Sample Output 1

yes

Sample Input 2 

5
abcdef

Sample Output 2

no

Hint

In Sample 1:

N = 4

String: abab
String formed after choosing characters in alternate way, like we choose , a->b->b->a, Index : 0  then 3 then 1 and finally 2, So the string is "abba", which is a palindrome, so output will be yes


In Sample 2:

N = 5

String: abcdef

String formed after choosing characters in alternate way, like we choose, a->f->b->e->c->d, "afbecd" which is not a palindrome , so output will be no


Answer

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