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