mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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176 lines
22 KiB
JSON
176 lines
22 KiB
JSON
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"title": "Find Valid Matrix Given Row and Column Sums",
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"content": "<p>You are given two arrays <code>rowSum</code> and <code>colSum</code> of non-negative integers where <code>rowSum[i]</code> is the sum of the elements in the <code>i<sup>th</sup></code> row and <code>colSum[j]</code> is the sum of the elements of the <code>j<sup>th</sup></code> column of a 2D matrix. In other words, you do not know the elements of the matrix, but you do know the sums of each row and column.</p>\n\n<p>Find any matrix of <strong>non-negative</strong> integers of size <code>rowSum.length x colSum.length</code> that satisfies the <code>rowSum</code> and <code>colSum</code> requirements.</p>\n\n<p>Return <em>a 2D array representing <strong>any</strong> matrix that fulfills the requirements</em>. It's guaranteed that <strong>at least one </strong>matrix that fulfills the requirements exists.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> rowSum = [3,8], colSum = [4,7]\n<strong>Output:</strong> [[3,0],\n [1,7]]\n<strong>Explanation:</strong> \n0<sup>th</sup> row: 3 + 0 = 3 == rowSum[0]\n1<sup>st</sup> row: 1 + 7 = 8 == rowSum[1]\n0<sup>th</sup> column: 3 + 1 = 4 == colSum[0]\n1<sup>st</sup> column: 0 + 7 = 7 == colSum[1]\nThe row and column sums match, and all matrix elements are non-negative.\nAnother possible matrix is: [[1,2],\n [3,5]]\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> rowSum = [5,7,10], colSum = [8,6,8]\n<strong>Output:</strong> [[0,5,0],\n [6,1,0],\n [2,0,8]]\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= rowSum.length, colSum.length <= 500</code></li>\n\t<li><code>0 <= rowSum[i], colSum[i] <= 10<sup>8</sup></code></li>\n\t<li><code>sum(rows) == sum(columns)</code></li>\n</ul>\n",
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"translatedTitle": "给定行和列的和求可行矩阵",
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"translatedContent": "<p>给你两个非负整数数组 <code>rowSum</code> 和 <code>colSum</code> ，其中 <code>rowSum[i]</code> 是二维矩阵中第 <code>i</code> 行元素的和， <code>colSum[j]</code> 是第 <code>j</code> 列元素的和。换言之你不知道矩阵里的每个元素，但是你知道每一行和每一列的和。</p>\n\n<p>请找到大小为 <code>rowSum.length x colSum.length</code> 的任意 <strong>非负整数</strong> 矩阵，且该矩阵满足 <code>rowSum</code> 和 <code>colSum</code> 的要求。</p>\n\n<p>请你返回任意一个满足题目要求的二维矩阵，题目保证存在 <strong>至少一个</strong> 可行矩阵。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>rowSum = [3,8], colSum = [4,7]\n<strong>输出：</strong>[[3,0],\n [1,7]]\n<strong>解释：</strong>\n第 0 行：3 + 0 = 3 == rowSum[0]\n第 1 行：1 + 7 = 8 == rowSum[1]\n第 0 列：3 + 1 = 4 == colSum[0]\n第 1 列：0 + 7 = 7 == colSum[1]\n行和列的和都满足题目要求，且所有矩阵元素都是非负的。\n另一个可行的矩阵为：[[1,2],\n [3,5]]\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>rowSum = [5,7,10], colSum = [8,6,8]\n<strong>输出：</strong>[[0,5,0],\n [6,1,0],\n [2,0,8]]\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>rowSum = [14,9], colSum = [6,9,8]\n<strong>输出：</strong>[[0,9,5],\n [6,0,3]]\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre>\n<strong>输入：</strong>rowSum = [1,0], colSum = [1]\n<strong>输出：</strong>[[1],\n [0]]\n</pre>\n\n<p><strong>示例 5：</strong></p>\n\n<pre>\n<strong>输入：</strong>rowSum = [0], colSum = [0]\n<strong>输出：</strong>[[0]]\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= rowSum.length, colSum.length <= 500</code></li>\n\t<li><code>0 <= rowSum[i], colSum[i] <= 10<sup>8</sup></code></li>\n\t<li><code>sum(rows) == sum(columns)</code></li>\n</ul>\n",
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