{
"data": {
"question": {
"questionId": "1379",
"questionFrontendId": "1253",
"boundTopicId": null,
"title": "Reconstruct a 2-Row Binary Matrix",
"titleSlug": "reconstruct-a-2-row-binary-matrix",
"content": "<p>Given the following details of a matrix with <code>n</code> columns and <code>2</code> rows :</p>\n\n<ul>\n\t<li>The matrix is a binary matrix, which means each element in the matrix can be <code>0</code> or <code>1</code>.</li>\n\t<li>The sum of elements of the 0-th(upper) row is given as <code>upper</code>.</li>\n\t<li>The sum of elements of the 1-st(lower) row is given as <code>lower</code>.</li>\n\t<li>The sum of elements in the i-th column(0-indexed) is <code>colsum[i]</code>, where <code>colsum</code> is given as an integer array with length <code>n</code>.</li>\n</ul>\n\n<p>Your task is to reconstruct the matrix with <code>upper</code>, <code>lower</code> and <code>colsum</code>.</p>\n\n<p>Return it as a 2-D integer array.</p>\n\n<p>If there are more than one valid solution, any of them will be accepted.</p>\n\n<p>If no valid solution exists, return an empty 2-D array.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> upper = 2, lower = 1, colsum = [1,1,1]\n<strong>Output:</strong> [[1,1,0],[0,0,1]]\n<strong>Explanation: </strong>[[1,0,1],[0,1,0]], and [[0,1,1],[1,0,0]] are also correct answers.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> upper = 2, lower = 3, colsum = [2,2,1,1]\n<strong>Output:</strong> []\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> upper = 5, lower = 5, colsum = [2,1,2,0,1,0,1,2,0,1]\n<strong>Output:</strong> [[1,1,1,0,1,0,0,1,0,0],[1,0,1,0,0,0,1,1,0,1]]\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= colsum.length <= 10^5</code></li>\n\t<li><code>0 <= upper, lower <= colsum.length</code></li>\n\t<li><code>0 <= colsum[i] <= 2</code></li>\n</ul>\n",
"translatedTitle": null,
"translatedContent": null,
"isPaidOnly": false,
"difficulty": "Medium",
"likes": 315,
"dislikes": 24,
"isLiked": null,
"similarQuestions": "[{\"title\": \"Find Valid Matrix Given Row and Column Sums\", \"titleSlug\": \"find-valid-matrix-given-row-and-column-sums\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]",
"exampleTestcases": "2\n1\n[1,1,1]\n2\n3\n[2,2,1,1]\n5\n5\n[2,1,2,0,1,0,1,2,0,1]",
"categoryTitle": "Algorithms",
"contributors": [],
"topicTags": [
{
"name": "Array",
"slug": "array",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Greedy",
"slug": "greedy",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Matrix",
"slug": "matrix",
"translatedName": null,
"__typename": "TopicTagNode"
}
],
"companyTagStats": null,
"codeSnippets": [
{
"lang": "C++",
"langSlug": "cpp",
"code": "class Solution {\npublic:\n vector<vector<int>> reconstructMatrix(int upper, int lower, vector<int>& colsum) {\n \n }\n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "Java",
"langSlug": "java",
"code": "class Solution {\n public List<List<Integer>> reconstructMatrix(int upper, int lower, int[] colsum) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Python",
"langSlug": "python",
"code": "class Solution(object):\n def reconstructMatrix(self, upper, lower, colsum):\n \"\"\"\n :type upper: int\n :type lower: int\n :type colsum: List[int]\n :rtype: List[List[int]]\n \"\"\"\n ",
"__typename": "CodeSnippetNode"
},
{
"lang": "Python3",
"langSlug": "python3",
"code": "class Solution:\n def reconstructMatrix(self, upper: int, lower: int, colsum: List[int]) -> List[List[int]]:\n ",
"__typename": "CodeSnippetNode"
},
{
"lang": "C",
"langSlug": "c",
"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** reconstructMatrix(int upper, int lower, int* colsum, int colsumSize, int* returnSize, int** returnColumnSizes){\n\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "C#",
"langSlug": "csharp",
"code": "public class Solution {\n public IList<IList<int>> ReconstructMatrix(int upper, int lower, int[] colsum) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "JavaScript",
"langSlug": "javascript",
"code": "/**\n * @param {number} upper\n * @param {number} lower\n * @param {number[]} colsum\n * @return {number[][]}\n */\nvar reconstructMatrix = function(upper, lower, colsum) {\n \n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "Ruby",
"langSlug": "ruby",
"code": "# @param {Integer} upper\n# @param {Integer} lower\n# @param {Integer[]} colsum\n# @return {Integer[][]}\ndef reconstruct_matrix(upper, lower, colsum)\n \nend",
"__typename": "CodeSnippetNode"
},
{
"lang": "Swift",
"langSlug": "swift",
"code": "class Solution {\n func reconstructMatrix(_ upper: Int, _ lower: Int, _ colsum: [Int]) -> [[Int]] {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Go",
"langSlug": "golang",
"code": "func reconstructMatrix(upper int, lower int, colsum []int) [][]int {\n \n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Scala",
"langSlug": "scala",
"code": "object Solution {\n def reconstructMatrix(upper: Int, lower: Int, colsum: Array[Int]): List[List[Int]] = {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Kotlin",
"langSlug": "kotlin",
"code": "class Solution {\n fun reconstructMatrix(upper: Int, lower: Int, colsum: IntArray): List<List<Int>> {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Rust",
"langSlug": "rust",
"code": "impl Solution {\n pub fn reconstruct_matrix(upper: i32, lower: i32, colsum: Vec<i32>) -> Vec<Vec<i32>> {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "PHP",
"langSlug": "php",
"code": "class Solution {\n\n /**\n * @param Integer $upper\n * @param Integer $lower\n * @param Integer[] $colsum\n * @return Integer[][]\n */\n function reconstructMatrix($upper, $lower, $colsum) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "TypeScript",
"langSlug": "typescript",
"code": "function reconstructMatrix(upper: number, lower: number, colsum: number[]): number[][] {\n\n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "Racket",
"langSlug": "racket",
"code": "(define/contract (reconstruct-matrix upper lower colsum)\n (-> exact-integer? exact-integer? (listof exact-integer?) (listof (listof exact-integer?)))\n\n )",
"__typename": "CodeSnippetNode"
},
{
"lang": "Erlang",
"langSlug": "erlang",
"code": "-spec reconstruct_matrix(Upper :: integer(), Lower :: integer(), Colsum :: [integer()]) -> [[integer()]].\nreconstruct_matrix(Upper, Lower, Colsum) ->\n .",
"__typename": "CodeSnippetNode"
},
{
"lang": "Elixir",
"langSlug": "elixir",
"code": "defmodule Solution do\n @spec reconstruct_matrix(upper :: integer, lower :: integer, colsum :: [integer]) :: [[integer]]\n def reconstruct_matrix(upper, lower, colsum) do\n\n end\nend",
"__typename": "CodeSnippetNode"
}
],
"stats": "{\"totalAccepted\": \"18.8K\", \"totalSubmission\": \"43.6K\", \"totalAcceptedRaw\": 18826, \"totalSubmissionRaw\": 43618, \"acRate\": \"43.2%\"}",
"hints": [
"You cannot do anything about colsum[i] = 2 case or colsum[i] = 0 case. Then you put colsum[i] = 1 case to the upper row until upper has reached. Then put the rest into lower row.",
"Fill 0 and 2 first, then fill 1 in the upper row or lower row in turn but be careful about exhausting permitted 1s in each row."
],
"solution": null,
"status": null,
"sampleTestCase": "2\n1\n[1,1,1]",
"metaData": "{\n \"name\": \"reconstructMatrix\",\n \"params\": [\n {\n \"name\": \"upper\",\n \"type\": \"integer\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"lower\"\n },\n {\n \"type\": \"integer[]\",\n \"name\": \"colsum\"\n }\n ],\n \"return\": {\n \"type\": \"list<list<integer>>\"\n }\n}",
"judgerAvailable": true,
"judgeType": "large",
"mysqlSchemas": [],
"enableRunCode": true,
"enableTestMode": false,
"enableDebugger": true,
"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 17 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\"], \"java\": [\"Java\", \"<p><code> OpenJDK 17 </code>. Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 8.2</code> using the gnu99 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O1</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://docs.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-9\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\\r\\n\\r\\n<p>Your code is compiled with debug flag enabled (<code>/debug</code>).</p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use <a href=\\\"https://github.com/datastructures-js/priority-queue\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and <a href=\\\"https://github.com/datastructures-js/queue\\\" target=\\\"_blank\\\">datastructures-js/queue</a>.</p>\"], \"ruby\": [\"Ruby\", \"<p><code>Ruby 3.1</code></p>\\r\\n\\r\\n<p>Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms</p>\"], \"swift\": [\"Swift\", \"<p><code>Swift 5.5.2</code>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.17.6</code>.</p>\\r\\n\\r\\n<p>Support <a href=\\\"https://godoc.org/github.com/emirpasic/gods\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/gods</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.10</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/3/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/3/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/3/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\"], \"scala\": [\"Scala\", \"<p><code>Scala 2.13.7</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.3.10</code>.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.58.1</code></p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand </a> v0.6\\u00a0from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.1</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 4.5.4, Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES2020 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"], \"racket\": [\"Racket\", \"<p>Run with <code>Racket 8.3</code>.</p>\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 24.2\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.0 with Erlang/OTP 24.2\"]}",
"libraryUrl": null,
"adminUrl": null,
"challengeQuestion": null,
"__typename": "QuestionNode"
}
}
}