{ "data": { "question": { "questionId": "2250", "questionFrontendId": "2146", "boundTopicId": null, "title": "K Highest Ranked Items Within a Price Range", "titleSlug": "k-highest-ranked-items-within-a-price-range", "content": "

You are given a 0-indexed 2D integer array grid of size m x n that represents a map of the items in a shop. The integers in the grid represent the following:

\n\n\n\n

It takes 1 step to travel between adjacent grid cells.

\n\n

You are also given integer arrays pricing and start where pricing = [low, high] and start = [row, col] indicates that you start at the position (row, col) and are interested only in items with a price in the range of [low, high] (inclusive). You are further given an integer k.

\n\n

You are interested in the positions of the k highest-ranked items whose prices are within the given price range. The rank is determined by the first of these criteria that is different:

\n\n
    \n\t
  1. Distance, defined as the length of the shortest path from the start (shorter distance has a higher rank).
  2. \n\t
  3. Price (lower price has a higher rank, but it must be in the price range).
  4. \n\t
  5. The row number (smaller row number has a higher rank).
  6. \n\t
  7. The column number (smaller column number has a higher rank).
  8. \n
\n\n

Return the k highest-ranked items within the price range sorted by their rank (highest to lowest). If there are fewer than k reachable items within the price range, return all of them.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: grid = [[1,2,0,1],[1,3,0,1],[0,2,5,1]], pricing = [2,5], start = [0,0], k = 3\nOutput: [[0,1],[1,1],[2,1]]\nExplanation: You start at (0,0).\nWith a price range of [2,5], we can take items from (0,1), (1,1), (2,1) and (2,2).\nThe ranks of these items are:\n- (0,1) with distance 1\n- (1,1) with distance 2\n- (2,1) with distance 3\n- (2,2) with distance 4\nThus, the 3 highest ranked items in the price range are (0,1), (1,1), and (2,1).\n
\n\n

Example 2:

\n\"\"\n
\nInput: grid = [[1,2,0,1],[1,3,3,1],[0,2,5,1]], pricing = [2,3], start = [2,3], k = 2\nOutput: [[2,1],[1,2]]\nExplanation: You start at (2,3).\nWith a price range of [2,3], we can take items from (0,1), (1,1), (1,2) and (2,1).\nThe ranks of these items are:\n- (2,1) with distance 2, price 2\n- (1,2) with distance 2, price 3\n- (1,1) with distance 3\n- (0,1) with distance 4\nThus, the 2 highest ranked items in the price range are (2,1) and (1,2).\n
\n\n

Example 3:

\n\"\"\n
\nInput: grid = [[1,1,1],[0,0,1],[2,3,4]], pricing = [2,3], start = [0,0], k = 3\nOutput: [[2,1],[2,0]]\nExplanation: You start at (0,0).\nWith a price range of [2,3], we can take items from (2,0) and (2,1). \nThe ranks of these items are: \n- (2,1) with distance 5\n- (2,0) with distance 6\nThus, the 2 highest ranked items in the price range are (2,1) and (2,0). \nNote that k = 3 but there are only 2 reachable items within the price range.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 474, "dislikes": 151, "isLiked": null, "similarQuestions": "[{\"title\": \"Kth Largest Element in an Array\", \"titleSlug\": \"kth-largest-element-in-an-array\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"As Far from Land as Possible\", \"titleSlug\": \"as-far-from-land-as-possible\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Reward Top K Students\", \"titleSlug\": \"reward-top-k-students\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "[[1,2,0,1],[1,3,0,1],[0,2,5,1]]\n[2,5]\n[0,0]\n3\n[[1,2,0,1],[1,3,3,1],[0,2,5,1]]\n[2,3]\n[2,3]\n2\n[[1,1,1],[0,0,1],[2,3,4]]\n[2,3]\n[0,0]\n3", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Breadth-First Search", "slug": "breadth-first-search", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Sorting", "slug": "sorting", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Heap (Priority Queue)", "slug": "heap-priority-queue", "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> highestRankedKItems(vector>& grid, vector& pricing, vector& start, int k) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public List> highestRankedKItems(int[][] grid, int[] pricing, int[] start, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def highestRankedKItems(self, grid, pricing, start, k):\n \"\"\"\n :type grid: List[List[int]]\n :type pricing: List[int]\n :type start: List[int]\n :type k: int\n :rtype: List[List[int]]\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def highestRankedKItems(self, grid: List[List[int]], pricing: List[int], start: List[int], k: int) -> List[List[int]]:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "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** highestRankedKItems(int** grid, int gridSize, int* gridColSize, int* pricing, int pricingSize, int* start, int startSize, int k, int* returnSize, int** returnColumnSizes) {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public IList> HighestRankedKItems(int[][] grid, int[] pricing, int[] start, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[][]} grid\n * @param {number[]} pricing\n * @param {number[]} start\n * @param {number} k\n * @return {number[][]}\n */\nvar highestRankedKItems = function(grid, pricing, start, k) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function highestRankedKItems(grid: number[][], pricing: number[], start: number[], k: number): number[][] {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[][] $grid\n * @param Integer[] $pricing\n * @param Integer[] $start\n * @param Integer $k\n * @return Integer[][]\n */\n function highestRankedKItems($grid, $pricing, $start, $k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func highestRankedKItems(_ grid: [[Int]], _ pricing: [Int], _ start: [Int], _ k: Int) -> [[Int]] {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun highestRankedKItems(grid: Array, pricing: IntArray, start: IntArray, k: Int): List> {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n List> highestRankedKItems(List> grid, List pricing, List start, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[][]} grid\n# @param {Integer[]} pricing\n# @param {Integer[]} start\n# @param {Integer} k\n# @return {Integer[][]}\ndef highest_ranked_k_items(grid, pricing, start, k)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def highestRankedKItems(grid: Array[Array[Int]], pricing: Array[Int], start: Array[Int], k: Int): List[List[Int]] = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn highest_ranked_k_items(grid: Vec>, pricing: Vec, start: Vec, k: i32) -> Vec> {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (highest-ranked-k-items grid pricing start k)\n (-> (listof (listof exact-integer?)) (listof exact-integer?) (listof exact-integer?) exact-integer? (listof (listof exact-integer?)))\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec highest_ranked_k_items(Grid :: [[integer()]], Pricing :: [integer()], Start :: [integer()], K :: integer()) -> [[integer()]].\nhighest_ranked_k_items(Grid, Pricing, Start, K) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec highest_ranked_k_items(grid :: [[integer]], pricing :: [integer], start :: [integer], k :: integer) :: [[integer]]\n def highest_ranked_k_items(grid, pricing, start, k) do\n \n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"14.1K\", \"totalSubmission\": \"33.5K\", \"totalAcceptedRaw\": 14094, \"totalSubmissionRaw\": 33477, \"acRate\": \"42.1%\"}", "hints": [ "Could you determine the rank of every item efficiently?", "We can perform a breadth-first search from the starting position and know the length of the shortest path from start to every item.", "Sort all the items according to the conditions listed in the problem, and return the first k (or all if less than k exist) items as the answer." ], "solution": null, "status": null, "sampleTestCase": "[[1,2,0,1],[1,3,0,1],[0,2,5,1]]\n[2,5]\n[0,0]\n3", "metaData": "{\n \"name\": \"highestRankedKItems\",\n \"params\": [\n {\n \"name\": \"grid\",\n \"type\": \"integer[][]\"\n },\n {\n \"type\": \"integer[]\",\n \"name\": \"pricing\"\n },\n {\n \"type\": \"integer[]\",\n \"name\": \"start\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"k\"\n }\n ],\n \"return\": {\n \"type\": \"list>\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"

Compiled with clang 11 using the latest C++ 20 standard.

\\r\\n\\r\\n

Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\"], \"java\": [\"Java\", \"

OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n

Includes Pair class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.

\"], \"python\": [\"Python\", \"

Python 2.7.12.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\\r\\n\\r\\n

Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

\"], \"c\": [\"C\", \"

Compiled with gcc 8.2 using the gnu11 standard.

\\r\\n\\r\\n

Your code is compiled with level one optimization (-O1). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n\\r\\n

For hash table operations, you may use uthash. \\\"uthash.h\\\" is included by default. Below are some examples:

\\r\\n\\r\\n

1. Adding an item to a hash.\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

2. Looking up an item in a hash:\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

3. Deleting an item in a hash:\\r\\n

\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n    HASH_DEL(users, user);  \\r\\n}\\r\\n
\\r\\n

\"], \"csharp\": [\"C#\", \"

C# 10 with .NET 6 runtime

\"], \"javascript\": [\"JavaScript\", \"

Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES6 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\\r\\n\\r\\n

For Priority Queue / Queue data structures, you may use 5.3.0 version of datastructures-js/priority-queue and 4.2.1 version of datastructures-js/queue.

\"], \"ruby\": [\"Ruby\", \"

Ruby 3.1

\\r\\n\\r\\n

Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

\"], \"swift\": [\"Swift\", \"

Swift 5.5.2.

\"], \"golang\": [\"Go\", \"

Go 1.21

\\r\\n

Support https://godoc.org/github.com/emirpasic/gods@v1.18.1 library.

\"], \"python3\": [\"Python3\", \"

Python 3.10.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\"], \"scala\": [\"Scala\", \"

Scala 2.13.7.

\"], \"kotlin\": [\"Kotlin\", \"

Kotlin 1.9.0.

\"], \"rust\": [\"Rust\", \"

Rust 1.58.1

\\r\\n\\r\\n

Supports rand v0.6\\u00a0from crates.io

\"], \"php\": [\"PHP\", \"

PHP 8.1.

\\r\\n

With bcmath module

\"], \"typescript\": [\"Typescript\", \"

TypeScript 5.1.6, Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES2022 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\"], \"racket\": [\"Racket\", \"

Run with Racket 8.3.

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 25.0\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.4 with Erlang/OTP 25.0\"], \"dart\": [\"Dart\", \"

Dart 2.17.3

\\r\\n\\r\\n

Your code will be run directly without compiling

\"]}", "libraryUrl": null, "adminUrl": null, "challengeQuestion": null, "__typename": "QuestionNode" } } }