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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 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 query. For each query[i] = [row1i, col1i, row2i, col2i], you should do the following operation:

Return the matrix mat after performing every query.

Increment Submatrices by One diagram

Example 1

Input: n = 3, queries = [[1,1,2,2],[0,0,1,1]]

Output: [[1,1,0],[1,2,1],[0,1,1]]

Explanation: The diagram above shows the initial matrix, the matrix after the first query, and the matrix after the second query. - In the first query, we add 1 to every element in the submatrix with the top left corner (1, 1) and bottom right corner (2, 2). - In the second query, we add 1 to every element in the submatrix with the top left corner (0, 0) and bottom right corner (1, 1).

Example 2

Input: n = 2, queries = [[0,0,1,1]]

Output: [[1,1],[1,1]]

Explanation: The diagram above shows the initial matrix and the matrix after the first query. - In the first query we add 1 to every element in the matrix.

Constraints

  • 1 <= n <= 500
  • 1 <= queries.length <= 10^4
  • 0 <= row1i <= row2i < n
  • 0 <= col1i <= col2i < n

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