leetcode-problemset/leetcode-cn/originData/matrix-block-sum.json

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        "question": {
            "questionId": "1242",
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            "categoryTitle": "Algorithms",
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            "title": "Matrix Block Sum",
            "titleSlug": "matrix-block-sum",
            "content": "<p>Given a <code>m x n</code> matrix <code>mat</code> and an integer <code>k</code>, return <em>a matrix</em> <code>answer</code> <em>where each</em> <code>answer[i][j]</code> <em>is the sum of all elements</em> <code>mat[r][c]</code> <em>for</em>:</p>\n\n<ul>\n\t<li><code>i - k &lt;= r &lt;= i + k,</code></li>\n\t<li><code>j - k &lt;= c &lt;= j + k</code>, and</li>\n\t<li><code>(r, c)</code> is a valid position in the matrix.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[1,2,3],[4,5,6],[7,8,9]], k = 1\n<strong>Output:</strong> [[12,21,16],[27,45,33],[24,39,28]]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> mat = [[1,2,3],[4,5,6],[7,8,9]], k = 2\n<strong>Output:</strong> [[45,45,45],[45,45,45],[45,45,45]]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m ==&nbsp;mat.length</code></li>\n\t<li><code>n ==&nbsp;mat[i].length</code></li>\n\t<li><code>1 &lt;= m, n, k &lt;= 100</code></li>\n\t<li><code>1 &lt;= mat[i][j] &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "矩阵区域和",
            "translatedContent": "<p>给你一个 <code>m x n</code> 的矩阵 <code>mat</code> 和一个整数 <code>k</code> ，请你返回一个矩阵 <code>answer</code> ，其中每个 <code>answer[i][j]</code> 是所有满足下述条件的元素 <code>mat[r][c]</code> 的和： </p>\n\n<ul>\n\t<li><code>i - k <= r <= i + k, </code></li>\n\t<li><code>j - k <= c <= j + k</code> 且</li>\n\t<li><code>(r, c)</code> 在矩阵内。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1,2,3],[4,5,6],[7,8,9]], k = 1\n<strong>输出：</strong>[[12,21,16],[27,45,33],[24,39,28]]\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>mat = [[1,2,3],[4,5,6],[7,8,9]], k = 2\n<strong>输出：</strong>[[45,45,45],[45,45,45],[45,45,45]]\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == mat.length</code></li>\n\t<li><code>n == mat[i].length</code></li>\n\t<li><code>1 <= m, n, k <= 100</code></li>\n\t<li><code>1 <= mat[i][j] <= 100</code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    vector<vector<int>> matrixBlockSum(vector<vector<int>>& mat, int k) {\n        \n    }\n};",
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            "hints": [
                "How to calculate the required sum for a cell (i,j) fast ?",
                "Use the concept of cumulative sum array.",
                "Create a cumulative sum matrix where dp[i][j] is the sum of all cells in the rectangle from (0,0) to (i,j), use inclusion-exclusion idea."
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