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g2501_2600.s2536_increment_submatrices_by_one.readme.md Maven / Gradle / Ivy

2536\. Increment Submatrices by One

Medium

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:

*   Add `1` to **every element** in the submatrix with the **top left** corner (row1i, col1i) and the **bottom right** corner (row2i, col2i). That is, add `1` to `mat[x][y]` for all row1i <= x <= row2i and col1i <= y <= col2i.

Return _the matrix_ `mat` _after performing every query._

**Example 1:**

![](https://assets.leetcode.com/uploads/2022/11/24/p2example11.png)

**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:**

![](https://assets.leetcode.com/uploads/2022/11/24/p2example22.png)

**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 <= 104
*   0 <= row1i <= row2i < n
*   0 <= col1i <= col2i < n