Easy
You are given an n x n
integer matrix grid
.
Generate an integer matrix maxLocal
of size (n - 2) x (n - 2)
such that:
maxLocal[i][j]
is equal to the largest value of the 3 x 3
matrix in grid
centered around row i + 1
and column j + 1
.In other words, we want to find the largest value in every contiguous 3 x 3
matrix in grid
.
Return the generated matrix.
Example 1:
Input: grid = [[9,9,8,1],[5,6,2,6],[8,2,6,4],[6,2,2,2]]
Output: [[9,9],[8,6]]
Explanation: The diagram above shows the original matrix and the generated matrix.
Notice that each value in the generated matrix corresponds to the largest value of a contiguous 3 x 3 matrix in grid.
Example 2:
Input: grid = [[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1,1],[1,1,1,1,1],[1,1,1,1,1]]
Output: [[2,2,2],[2,2,2],[2,2,2]]
Explanation: Notice that the 2 is contained within every contiguous 3 x 3 matrix in grid.
Constraints:
n == grid.length == grid[i].length
3 <= n <= 100
1 <= grid[i][j] <= 100
public class Solution {
public int[][] largestLocal(int[][] grid) {
int n = grid.length;
int[][] res = new int[n - 2][n - 2];
for (int i = 0; i < n - 2; i++) {
for (int j = 0; j < n - 2; j++) {
for (int p = i; p < i + 3; p++) {
for (int q = j; q < j + 3; q++) {
res[i][j] = Math.max(res[i][j], grid[p][q]);
}
}
}
}
return res;
}
}