mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
17 KiB
JSON
180 lines
17 KiB
JSON
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"questionFrontendId": "2597",
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"title": "The Number of Beautiful Subsets",
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"titleSlug": "the-number-of-beautiful-subsets",
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"content": "<p>You are given an array <code>nums</code> of positive integers and a <strong>positive</strong> integer <code>k</code>.</p>\n\n<p>A subset of <code>nums</code> is <strong>beautiful</strong> if it does not contain two integers with an absolute difference equal to <code>k</code>.</p>\n\n<p>Return <em>the number of <strong>non-empty beautiful </strong>subsets of the array</em> <code>nums</code>.</p>\n\n<p>A <strong>subset</strong> of <code>nums</code> is an array that can be obtained by deleting some (possibly none) elements from <code>nums</code>. Two subsets are different if and only if the chosen indices to delete are different.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,6], k = 2\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The beautiful subsets of the array nums are: [2], [4], [6], [2, 6].\nIt can be proved that there are only 4 beautiful subsets in the array [2,4,6].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1], k = 1\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The beautiful subset of the array nums is [1].\nIt can be proved that there is only 1 beautiful subset in the array [1].\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 20</code></li>\n\t<li><code>1 <= nums[i], k <= 1000</code></li>\n</ul>\n",
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"difficulty": "Medium",
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"similarQuestions": "[{\"title\": \"Construct the Lexicographically Largest Valid Sequence\", \"titleSlug\": \"construct-the-lexicographically-largest-valid-sequence\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]",
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"exampleTestcases": "[2,4,6]\n2\n[1]\n1",
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"categoryTitle": "Algorithms",
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"name": "Array",
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"name": "Backtracking",
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"slug": "backtracking",
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"lang": "C++",
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"langSlug": "cpp",
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"code": "class Solution {\npublic:\n int beautifulSubsets(vector<int>& nums, int k) {\n \n }\n};",
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"code": "class Solution {\n public int beautifulSubsets(int[] nums, int k) {\n \n }\n}",
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"lang": "Python",
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"langSlug": "python",
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"code": "class Solution(object):\n def beautifulSubsets(self, nums, k):\n \"\"\"\n :type nums: List[int]\n :type k: int\n :rtype: int\n \"\"\"\n ",
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"code": "class Solution:\n def beautifulSubsets(self, nums: List[int], k: int) -> int:\n ",
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"code": "int beautifulSubsets(int* nums, int numsSize, int k){\n\n}",
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"lang": "C#",
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"langSlug": "csharp",
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"code": "public class Solution {\n public int BeautifulSubsets(int[] nums, int k) {\n \n }\n}",
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"lang": "JavaScript",
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"langSlug": "javascript",
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"code": "/**\n * @param {number[]} nums\n * @param {number} k\n * @return {number}\n */\nvar beautifulSubsets = function(nums, k) {\n \n};",
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"lang": "Ruby",
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"langSlug": "ruby",
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"code": "# @param {Integer[]} nums\n# @param {Integer} k\n# @return {Integer}\ndef beautiful_subsets(nums, k)\n \nend",
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"lang": "Swift",
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"langSlug": "swift",
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"code": "class Solution {\n func beautifulSubsets(_ nums: [Int], _ k: Int) -> Int {\n \n }\n}",
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"lang": "Go",
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"langSlug": "golang",
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"code": "func beautifulSubsets(nums []int, k int) int {\n \n}",
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"__typename": "CodeSnippetNode"
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{
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"lang": "Scala",
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"langSlug": "scala",
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"code": "object Solution {\n def beautifulSubsets(nums: Array[Int], k: Int): Int = {\n \n }\n}",
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"__typename": "CodeSnippetNode"
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"lang": "Kotlin",
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"langSlug": "kotlin",
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"code": "class Solution {\n fun beautifulSubsets(nums: IntArray, k: Int): Int {\n \n }\n}",
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"lang": "Rust",
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"langSlug": "rust",
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"code": "impl Solution {\n pub fn beautiful_subsets(nums: Vec<i32>, k: i32) -> i32 {\n \n }\n}",
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"lang": "PHP",
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"langSlug": "php",
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"code": "class Solution {\n\n /**\n * @param Integer[] $nums\n * @param Integer $k\n * @return Integer\n */\n function beautifulSubsets($nums, $k) {\n \n }\n}",
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"lang": "TypeScript",
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"langSlug": "typescript",
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"code": "function beautifulSubsets(nums: number[], k: number): number {\n\n};",
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"lang": "Racket",
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"langSlug": "racket",
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"code": "(define/contract (beautiful-subsets nums k)\n (-> (listof exact-integer?) exact-integer? exact-integer?)\n\n )",
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"lang": "Erlang",
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"langSlug": "erlang",
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"code": "-spec beautiful_subsets(Nums :: [integer()], K :: integer()) -> integer().\nbeautiful_subsets(Nums, K) ->\n .",
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"lang": "Elixir",
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"langSlug": "elixir",
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"code": "defmodule Solution do\n @spec beautiful_subsets(nums :: [integer], k :: integer) :: integer\n def beautiful_subsets(nums, k) do\n\n end\nend",
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"lang": "Dart",
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"langSlug": "dart",
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"code": "class Solution {\n int beautifulSubsets(List<int> nums, int k) {\n\n }\n}",
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"hints": [
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"Sort the array nums and create another array cnt of size nums[i].",
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"Use backtracking to generate all the beautiful subsets. If cnt[nums[i] - k] is positive, then it is impossible to add nums[i] in the subset, and we just move to the next index. Otherwise, it is also possible to add nums[i] in the subset, in this case, increase cnt[nums[i]], and move to the next index."
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"sampleTestCase": "[2,4,6]\n2",
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"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 gnu11 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://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-10\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></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 5.3.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/tree/fb4fdb984834421279aeb081df7af624d17c2a03\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.1 version of <a href=\\\"https://githu
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