mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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187 lines
18 KiB
JSON
187 lines
18 KiB
JSON
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"questionFrontendId": "2588",
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"boundTopicId": null,
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"title": "Count the Number of Beautiful Subarrays",
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"titleSlug": "count-the-number-of-beautiful-subarrays",
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"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>. In one operation, you can:</p>\n\n<ul>\n\t<li>Choose two different indices <code>i</code> and <code>j</code> such that <code>0 <= i, j < nums.length</code>.</li>\n\t<li>Choose a non-negative integer <code>k</code> such that the <code>k<sup>th</sup></code> bit (<strong>0-indexed</strong>) in the binary representation of <code>nums[i]</code> and <code>nums[j]</code> is <code>1</code>.</li>\n\t<li>Subtract <code>2<sup>k</sup></code> from <code>nums[i]</code> and <code>nums[j]</code>.</li>\n</ul>\n\n<p>A subarray is <strong>beautiful</strong> if it is possible to make all of its elements equal to <code>0</code> after applying the above operation any number of times.</p>\n\n<p>Return <em>the number of <strong>beautiful subarrays</strong> in the array</em> <code>nums</code>.</p>\n\n<p>A subarray is a contiguous <strong>non-empty</strong> sequence of elements within an array.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,3,1,2,4]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are 2 beautiful subarrays in nums: [4,<u>3,1,2</u>,4] and [<u>4,3,1,2,4</u>].\n- We can make all elements in the subarray [3,1,2] equal to 0 in the following way:\n - Choose [<u>3</u>, 1, <u>2</u>] and k = 1. Subtract 2<sup>1</sup> from both numbers. The subarray becomes [1, 1, 0].\n - Choose [<u>1</u>, <u>1</u>, 0] and k = 0. Subtract 2<sup>0</sup> from both numbers. The subarray becomes [0, 0, 0].\n- We can make all elements in the subarray [4,3,1,2,4] equal to 0 in the following way:\n - Choose [<u>4</u>, 3, 1, 2, <u>4</u>] and k = 2. Subtract 2<sup>2</sup> from both numbers. The subarray becomes [0, 3, 1, 2, 0].\n - Choose [0, <u>3</u>, <u>1</u>, 2, 0] and k = 0. Subtract 2<sup>0</sup> from both numbers. The subarray becomes [0, 2, 0, 2, 0].\n - Choose [0, <u>2</u>, 0, <u>2</u>, 0] and k = 1. Subtract 2<sup>1</sup> from both numbers. The subarray becomes [0, 0, 0, 0, 0].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,10,4]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are no beautiful subarrays in nums.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums[i] <= 10<sup>6</sup></code></li>\n</ul>\n",
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"difficulty": "Medium",
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"exampleTestcases": "[4,3,1,2,4]\n[1,10,4]",
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"categoryTitle": "Algorithms",
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"name": "Array",
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"name": "Bit Manipulation",
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"name": "Prefix Sum",
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"slug": "prefix-sum",
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"code": "public class Solution {\n public long BeautifulSubarrays(int[] nums) {\n \n }\n}",
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"lang": "JavaScript",
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"code": "/**\n * @param {number[]} nums\n * @return {number}\n */\nvar beautifulSubarrays = function(nums) {\n \n};",
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"lang": "Ruby",
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"code": "# @param {Integer[]} nums\n# @return {Integer}\ndef beautiful_subarrays(nums)\n \nend",
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"lang": "Go",
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"code": "func beautifulSubarrays(nums []int) int64 {\n \n}",
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"lang": "Scala",
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"code": "object Solution {\n def beautifulSubarrays(nums: Array[Int]): Long = {\n \n }\n}",
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"lang": "Kotlin",
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"langSlug": "rust",
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"hints": [
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"A subarray is beautiful if its xor is equal to zero.",
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"Compute the prefix xor for every index, then the xor of subarray [left, right] is equal to zero if prefix_xor[left] ^ perfix_xor[right] == 0",
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"Iterate from left to right and maintain a hash table to count the number of indices equal to the current prefix xor."
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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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