Given a matrix a of size \(n \cdot n\) (\(1 <= n <= 1000\), \(1 <= a_i <= 10^9\)). Also given are m (\(1 <= m <= 1000\)) queries of the form x1< /sub>, y1, x2, y2 (\(1 <= x_1 <= n\), \(1 <= y_1 <= n\), \(x_1 <= x_2 <= n\), \(y_1 <= y_2 <= n\)).
For each query, output the maximum element in the submatrix with edge coordinates
x1,
y1 and x2,
y< sub>2.
Examples
| # |
Input |
Output |
| 1 |
4
1 2 3 4
2 3 4 5
3 4 5 6
4 5 6 7
1
1 1 3 4
|
6 |