Sum of both diagonals

Given a square matrix, print the sum of its main diagonal and its other diagonal. If N is odd, count the centre element only once.

Reported in: Infosys (2022–24), Wipro Elite NTH (memory-based)

Input

First line: N. Next N lines: N integers each.

Output

The diagonal sum.

Constraints

1 ≤ N ≤ 1000.

Example 1

Input:
3
1 2 3
4 5 6
7 8 9

Output:
25

Example 2

Input:
2
1 2
3 4

Output:
10

Hint: Add m[i][i] and m[i][N−1−i]; subtract the centre once when N is odd.

All coding practice