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{
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"question": {
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"title": "Reconstruct a 2-Row Binary Matrix",
"titleSlug": "reconstruct-a-2-row-binary-matrix",
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"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>&nbsp;</p>\n<p><strong class=\"example\">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 class=\"example\">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 class=\"example\">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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= colsum.length &lt;= 10^5</code></li>\n\t<li><code>0 &lt;= upper, lower &lt;= colsum.length</code></li>\n\t<li><code>0 &lt;= colsum[i] &lt;= 2</code></li>\n</ul>\n",
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"code": "class Solution {\npublic:\n vector<vector<int>> reconstructMatrix(int upper, int lower, vector<int>& colsum) {\n \n }\n};",
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"code": "class Solution {\n public List<List<Integer>> reconstructMatrix(int upper, int lower, int[] colsum) {\n \n }\n}",
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"lang": "Python",
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"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 ",
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"code": "class Solution:\n def reconstructMatrix(self, upper: int, lower: int, colsum: List[int]) -> List[List[int]]:\n ",
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"code": "/**\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}",
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"lang": "C#",
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"code": "public class Solution {\n public IList<IList<int>> ReconstructMatrix(int upper, int lower, int[] colsum) {\n \n }\n}",
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"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};",
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"lang": "TypeScript",
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"code": "function reconstructMatrix(upper: number, lower: number, colsum: number[]): number[][] {\n \n};",
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"lang": "PHP",
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"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}",
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"code": "class Solution {\n func reconstructMatrix(_ upper: Int, _ lower: Int, _ colsum: [Int]) -> [[Int]] {\n \n }\n}",
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"lang": "Kotlin",
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"code": "class Solution {\n fun reconstructMatrix(upper: Int, lower: Int, colsum: IntArray): List<List<Int>> {\n \n }\n}",
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"lang": "Dart",
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"code": "class Solution {\n List<List<int>> reconstructMatrix(int upper, int lower, List<int> colsum) {\n \n }\n}",
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"lang": "Go",
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"code": "func reconstructMatrix(upper int, lower int, colsum []int) [][]int {\n \n}",
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"lang": "Ruby",
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"code": "# @param {Integer} upper\n# @param {Integer} lower\n# @param {Integer[]} colsum\n# @return {Integer[][]}\ndef reconstruct_matrix(upper, lower, colsum)\n \nend",
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"lang": "Scala",
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"code": "object Solution {\n def reconstructMatrix(upper: Int, lower: Int, colsum: Array[Int]): List[List[Int]] = {\n \n }\n}",
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"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}",
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"code": "(define/contract (reconstruct-matrix upper lower colsum)\n (-> exact-integer? exact-integer? (listof exact-integer?) (listof (listof exact-integer?)))\n )",
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"lang": "Erlang",
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"code": "-spec reconstruct_matrix(Upper :: integer(), Lower :: integer(), Colsum :: [integer()]) -> [[integer()]].\nreconstruct_matrix(Upper, Lower, Colsum) ->\n .",
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"lang": "Elixir",
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"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",
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"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]",
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