Increment Submatrices by One
You are given a positive integer n, indicating that we initially have an n x n 0-indexed integer matrix mat filled with zeroes.
You are also given a 2D integer array queries. For each queries[i] = [row1i, col1i, row2i, col2i], you should do the following operation:
- Add
1to every element in the submatrix with the top left corner(row1i, col1i)and the bottom right corner(row2i, col2i). That is, add1tomat[x][y]for allrow1i <= x <= row2iandcol1i <= y <= col2i.
Return the matrix mat after performing every query.
Example 1
Input
n = 3, queries = [[1,1,2,2],[0,0,1,1]]Output
[[1,1,0],[1,2,1],[0,1,1]]After applying the two queries, the overlapping cell
(1, 1) is incremented twice while the other covered cells are incremented once.Example 2
Input
n = 2, queries = [[0,0,1,1]]Output
[[1,1],[1,1]]The only query covers the entire
2 x 2 matrix, so every element becomes 1.Constraints
- 1 <= n <= 500
- 1 <= queries.length <= 10^4
- 0 <= row1i <= row2i < n
- 0 <= col1i <= col2i < n