Given ~N~ sequences of ~N~ integers, compute the median of the medians of the ~N~ sequences.

Constraints

~1 \le N \le 99~

~N~ is odd.

Every integer in any of the sequences is between ~1~ and ~10^6~.

Input Specification

The first line contains a single positive integer, ~N~.

Each of the next ~N~ lines contains exactly ~N~ positive integers, the ~N~ integers in one of the sequences.

Output Specification

Output, on a single line, the median of the medians of the ~N~ sequences.

Sample Input

3
1 2 3
4 5 6
7 8 9

Sample Output

5