leetcode-problemset/leetcode/originData/build-a-matrix-with-conditions.json

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            "title": "Build a Matrix With Conditions",
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            "content": "<p>You are given a <strong>positive</strong> integer <code>k</code>. You are also given:</p>\n\n<ul>\n\t<li>a 2D integer array <code>rowConditions</code> of size <code>n</code> where <code>rowConditions[i] = [above<sub>i</sub>, below<sub>i</sub>]</code>, and</li>\n\t<li>a 2D integer array <code>colConditions</code> of size <code>m</code> where <code>colConditions[i] = [left<sub>i</sub>, right<sub>i</sub>]</code>.</li>\n</ul>\n\n<p>The two arrays contain integers from <code>1</code> to <code>k</code>.</p>\n\n<p>You have to build a <code>k x k</code> matrix that contains each of the numbers from <code>1</code> to <code>k</code> <strong>exactly once</strong>. The remaining cells should have the value <code>0</code>.</p>\n\n<p>The matrix should also satisfy the following conditions:</p>\n\n<ul>\n\t<li>The number <code>above<sub>i</sub></code> should appear in a <strong>row</strong> that is strictly <strong>above</strong> the row at which the number <code>below<sub>i</sub></code> appears for all <code>i</code> from <code>0</code> to <code>n - 1</code>.</li>\n\t<li>The number <code>left<sub>i</sub></code> should appear in a <strong>column</strong> that is strictly <strong>left</strong> of the column at which the number <code>right<sub>i</sub></code> appears for all <code>i</code> from <code>0</code> to <code>m - 1</code>.</li>\n</ul>\n\n<p>Return <em><strong>any</strong> matrix that satisfies the conditions</em>. If no answer exists, return an empty matrix.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/07/06/gridosdrawio.png\" style=\"width: 211px; height: 211px;\" />\n<pre>\n<strong>Input:</strong> k = 3, rowConditions = [[1,2],[3,2]], colConditions = [[2,1],[3,2]]\n<strong>Output:</strong> [[3,0,0],[0,0,1],[0,2,0]]\n<strong>Explanation:</strong> 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 <u>1</u>, and number 2 is in row <u>2</u>, so 1 is above 2 in the matrix.\n- Number 3 is in row <u>0</u>, and number 2 is in row <u>2</u>, so 3 is above 2 in the matrix.\nThe column conditions are the following:\n- Number 2 is in column <u>1</u>, and number 1 is in column <u>2</u>, so 2 is left of 1 in the matrix.\n- Number 3 is in column <u>0</u>, and number 2 is in column <u>1</u>, so 3 is left of 2 in the matrix.\nNote that there may be multiple correct answers.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> k = 3, rowConditions = [[1,2],[2,3],[3,1],[2,3]], colConditions = [[2,1]]\n<strong>Output:</strong> []\n<strong>Explanation:</strong> 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</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= k &lt;= 400</code></li>\n\t<li><code>1 &lt;= rowConditions.length, colConditions.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>rowConditions[i].length == colConditions[i].length == 2</code></li>\n\t<li><code>1 &lt;= above<sub>i</sub>, below<sub>i</sub>, left<sub>i</sub>, right<sub>i</sub> &lt;= k</code></li>\n\t<li><code>above<sub>i</sub> != below<sub>i</sub></code></li>\n\t<li><code>left<sub>i</sub> != right<sub>i</sub></code></li>\n</ul>\n",
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                    "lang": "C++",
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                    "code": "class Solution {\npublic:\n    vector<vector<int>> buildMatrix(int k, vector<vector<int>>& rowConditions, vector<vector<int>>& colConditions) {\n        \n    }\n};",
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                    "code": "class Solution {\n    public int[][] buildMatrix(int k, int[][] rowConditions, int[][] colConditions) {\n        \n    }\n}",
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                    "code": "class Solution(object):\n    def buildMatrix(self, k, rowConditions, colConditions):\n        \"\"\"\n        :type k: int\n        :type rowConditions: List[List[int]]\n        :type colConditions: List[List[int]]\n        :rtype: List[List[int]]\n        \"\"\"\n        ",
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                    "code": "class Solution:\n    def buildMatrix(self, k: int, rowConditions: List[List[int]], colConditions: List[List[int]]) -> List[List[int]]:\n        ",
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                    "code": "\n\n/**\n * Return an array of arrays of size *returnSize.\n * The sizes of the arrays are returned as *returnColumnSizes array.\n * Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().\n */\nint** buildMatrix(int k, int** rowConditions, int rowConditionsSize, int* rowConditionsColSize, int** colConditions, int colConditionsSize, int* colConditionsColSize, int* returnSize, int** returnColumnSizes){\n\n}",
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                    "code": "public class Solution {\n    public int[][] BuildMatrix(int k, int[][] rowConditions, int[][] colConditions) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number} k\n * @param {number[][]} rowConditions\n * @param {number[][]} colConditions\n * @return {number[][]}\n */\nvar buildMatrix = function(k, rowConditions, colConditions) {\n    \n};",
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                    "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",
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                    "code": "class Solution {\n    func buildMatrix(_ k: Int, _ rowConditions: [[Int]], _ colConditions: [[Int]]) -> [[Int]] {\n        \n    }\n}",
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                    "code": "func buildMatrix(k int, rowConditions [][]int, colConditions [][]int) [][]int {\n    \n}",
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                    "code": "object Solution {\n    def buildMatrix(k: Int, rowConditions: Array[Array[Int]], colConditions: Array[Array[Int]]): Array[Array[Int]] = {\n        \n    }\n}",
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                    "code": "class Solution {\n    fun buildMatrix(k: Int, rowConditions: Array<IntArray>, colConditions: Array<IntArray>): Array<IntArray> {\n        \n    }\n}",
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                    "code": "impl Solution {\n    pub fn build_matrix(k: i32, row_conditions: Vec<Vec<i32>>, col_conditions: Vec<Vec<i32>>) -> Vec<Vec<i32>> {\n        \n    }\n}",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer $k\n     * @param Integer[][] $rowConditions\n     * @param Integer[][] $colConditions\n     * @return Integer[][]\n     */\n    function buildMatrix($k, $rowConditions, $colConditions) {\n        \n    }\n}",
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                    "code": "function buildMatrix(k: number, rowConditions: number[][], colConditions: number[][]): number[][] {\n\n};",
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                    "code": "(define/contract (build-matrix k rowConditions colConditions)\n  (-> exact-integer? (listof (listof exact-integer?)) (listof (listof exact-integer?)) (listof (listof exact-integer?)))\n\n  )",
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                    "code": "-spec build_matrix(K :: integer(), RowConditions :: [[integer()]], ColConditions :: [[integer()]]) -> [[integer()]].\nbuild_matrix(K, RowConditions, ColConditions) ->\n  .",
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                    "code": "defmodule Solution do\n  @spec build_matrix(k :: integer, row_conditions :: [[integer]], col_conditions :: [[integer]]) :: [[integer]]\n  def build_matrix(k, row_conditions, col_conditions) do\n\n  end\nend",
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                "Can you think of the problem in terms of graphs?",
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