{ "data": { "question": { "questionId": "2472", "questionFrontendId": "2392", "categoryTitle": "Algorithms", "boundTopicId": 1773823, "title": "Build a Matrix With Conditions", "titleSlug": "build-a-matrix-with-conditions", "content": "

You are given a positive integer k. You are also given:

\n\n\n\n

The two arrays contain integers from 1 to k.

\n\n

You have to build a k x k matrix that contains each of the numbers from 1 to k exactly once. The remaining cells should have the value 0.

\n\n

The matrix should also satisfy the following conditions:

\n\n\n\n

Return any matrix that satisfies the conditions. If no answer exists, return an empty matrix.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: k = 3, rowConditions = [[1,2],[3,2]], colConditions = [[2,1],[3,2]]\nOutput: [[3,0,0],[0,0,1],[0,2,0]]\nExplanation: The diagram above shows a valid example of a matrix that satisfies all the conditions.\nThe row conditions are the following:\n- Number 1 is in row 1, and number 2 is in row 2, so 1 is above 2 in the matrix.\n- Number 3 is in row 0, and number 2 is in row 2, so 3 is above 2 in the matrix.\nThe column conditions are the following:\n- Number 2 is in column 1, and number 1 is in column 2, so 2 is left of 1 in the matrix.\n- Number 3 is in column 0, and number 2 is in column 1, so 3 is left of 2 in the matrix.\nNote that there may be multiple correct answers.\n
\n\n

Example 2:

\n\n
\nInput: k = 3, rowConditions = [[1,2],[2,3],[3,1],[2,3]], colConditions = [[2,1]]\nOutput: []\nExplanation: From the first two conditions, 3 has to be below 1 but the third conditions needs 3 to be above 1 to be satisfied.\nNo matrix can satisfy all the conditions, so we return the empty matrix.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "给定条件下构造矩阵", "translatedContent": "

给你一个 正 整数 k ，同时给你：

\n\n\n\n

两个数组里的整数都是 1 到 k 之间的数字。

\n\n

你需要构造一个 k x k 的矩阵，1 到 k 每个数字需要 恰好出现一次 。剩余的数字都是 0 。

\n\n

矩阵还需要满足以下条件：

\n\n\n\n

返回满足上述要求的 任意 矩阵。如果不存在答案，返回一个空的矩阵。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
输入：k = 3, rowConditions = [[1,2],[3,2]], colConditions = [[2,1],[3,2]]\n输出：[[3,0,0],[0,0,1],[0,2,0]]\n解释：上图为一个符合所有条件的矩阵。\n行要求如下：\n- 数字 1 在第 1 行，数字 2 在第 2 行，1 在 2 的上面。\n- 数字 3 在第 0 行，数字 2 在第 2 行，3 在 2 的上面。\n列要求如下：\n- 数字 2 在第 1 列，数字 1 在第 2 列，2 在 1 的左边。\n- 数字 3 在第 0 列，数字 2 在第 1 列，3 在 2 的左边。\n注意，可能有多种正确的答案。\n
\n\n

示例 2：

\n\n
输入：k = 3, rowConditions = [[1,2],[2,3],[3,1],[2,3]], colConditions = [[2,1]]\n输出：[]\n解释：由前两个条件可以得到 3 在 1 的下面，但第三个条件是 3 在 1 的上面。\n没有符合条件的矩阵存在，所以我们返回空矩阵。\n
\n\n

 

\n\n

提示：

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}\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n List> buildMatrix(int k, List> rowConditions, List> colConditions) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func buildMatrix(k int, rowConditions [][]int, colConditions [][]int) [][]int {\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer} k\n# @param {Integer[][]} row_conditions\n# @param {Integer[][]} col_conditions\n# @return {Integer[][]}\ndef build_matrix(k, row_conditions, col_conditions)\n\nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def buildMatrix(k: Int, rowConditions: Array[Array[Int]], colConditions: Array[Array[Int]]): Array[Array[Int]] = {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn build_matrix(k: i32, row_conditions: 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