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arithmetic-subarrays.json
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{
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"question": {
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"title": "Arithmetic Subarrays",
"titleSlug": "arithmetic-subarrays",
"content": "<p>A sequence of numbers is called <strong>arithmetic</strong> if it consists of at least two elements, and the difference between every two consecutive elements is the same. More formally, a sequence <code>s</code> is arithmetic if and only if <code>s[i+1] - s[i] == s[1] - s[0] </code>for all valid <code>i</code>.</p>\n\n<p>For example, these are <strong>arithmetic</strong> sequences:</p>\n\n<pre>\n1, 3, 5, 7, 9\n7, 7, 7, 7\n3, -1, -5, -9</pre>\n\n<p>The following sequence is not <strong>arithmetic</strong>:</p>\n\n<pre>\n1, 1, 2, 5, 7</pre>\n\n<p>You are given an array of <code>n</code> integers, <code>nums</code>, and two arrays of <code>m</code> integers each, <code>l</code> and <code>r</code>, representing the <code>m</code> range queries, where the <code>i<sup>th</sup></code> query is the range <code>[l[i], r[i]]</code>. All the arrays are <strong>0-indexed</strong>.</p>\n\n<p>Return <em>a list of </em><code>boolean</code> <em>elements</em> <code>answer</code><em>, where</em> <code>answer[i]</code> <em>is</em> <code>true</code> <em>if the subarray</em> <code>nums[l[i]], nums[l[i]+1], ... , nums[r[i]]</code><em> can be <strong>rearranged</strong> to form an <strong>arithmetic</strong> sequence, and</em> <code>false</code> <em>otherwise.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = <code>[4,6,5,9,3,7]</code>, l = <code>[0,0,2]</code>, r = <code>[2,3,5]</code>\n<strong>Output:</strong> <code>[true,false,true]</code>\n<strong>Explanation:</strong>\nIn the 0<sup>th</sup> query, the subarray is [4,6,5]. This can be rearranged as [6,5,4], which is an arithmetic sequence.\nIn the 1<sup>st</sup> query, the subarray is [4,6,5,9]. This cannot be rearranged as an arithmetic sequence.\nIn the 2<sup>nd</sup> query, the subarray is <code>[5,9,3,7]. This</code> can be rearranged as <code>[3,5,7,9]</code>, which is an arithmetic sequence.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [-12,-9,-3,-12,-6,15,20,-25,-20,-15,-10], l = [0,1,6,4,8,7], r = [4,4,9,7,9,10]\n<strong>Output:</strong> [false,true,false,false,true,true]\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>m == l.length</code></li>\n\t<li><code>m == r.length</code></li>\n\t<li><code>2 <= n <= 500</code></li>\n\t<li><code>1 <= m <= 500</code></li>\n\t<li><code>0 <= l[i] < r[i] < n</code></li>\n\t<li><code>-10<sup>5</sup> <= nums[i] <= 10<sup>5</sup></code></li>\n</ul>\n",
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"exampleTestcases": "[4,6,5,9,3,7]\n[0,0,2]\n[2,3,5]\n[-12,-9,-3,-12,-6,15,20,-25,-20,-15,-10]\n[0,1,6,4,8,7]\n[4,4,9,7,9,10]",
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"code": "class Solution {\npublic:\n vector<bool> checkArithmeticSubarrays(vector<int>& nums, vector<int>& l, vector<int>& r) {\n \n }\n};",
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"lang": "Java",
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"code": "class Solution {\n public List<Boolean> checkArithmeticSubarrays(int[] nums, int[] l, int[] r) {\n \n }\n}",
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{
"lang": "Python",
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"code": "class Solution(object):\n def checkArithmeticSubarrays(self, nums, l, r):\n \"\"\"\n :type nums: List[int]\n :type l: List[int]\n :type r: List[int]\n :rtype: List[bool]\n \"\"\"\n ",
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"lang": "C",
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"code": "/**\n * Note: The returned array must be malloced, assume caller calls free().\n */\nbool* checkArithmeticSubarrays(int* nums, int numsSize, int* l, int lSize, int* r, int rSize, int* returnSize) {\n \n}",
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"code": "public class Solution {\n public IList<bool> CheckArithmeticSubarrays(int[] nums, int[] l, int[] r) {\n \n }\n}",
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"code": "/**\n * @param {number[]} nums\n * @param {number[]} l\n * @param {number[]} r\n * @return {boolean[]}\n */\nvar checkArithmeticSubarrays = function(nums, l, r) {\n \n};",
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"code": "class Solution {\n\n /**\n * @param Integer[] $nums\n * @param Integer[] $l\n * @param Integer[] $r\n * @return Boolean[]\n */\n function checkArithmeticSubarrays($nums, $l, $r) {\n \n }\n}",
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"lang": "Kotlin",
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"lang": "Dart",
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"lang": "Go",
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"code": "# @param {Integer[]} nums\n# @param {Integer[]} l\n# @param {Integer[]} r\n# @return {Boolean[]}\ndef check_arithmetic_subarrays(nums, l, r)\n \nend",
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"lang": "Scala",
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"code": "object Solution {\n def checkArithmeticSubarrays(nums: Array[Int], l: Array[Int], r: Array[Int]): List[Boolean] = {\n \n }\n}",
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"lang": "Rust",
"langSlug": "rust",
"code": "impl Solution {\n pub fn check_arithmetic_subarrays(nums: Vec<i32>, l: Vec<i32>, r: Vec<i32>) -> Vec<bool> {\n \n }\n}",
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"code": "(define/contract (check-arithmetic-subarrays nums l r)\n (-> (listof exact-integer?) (listof exact-integer?) (listof exact-integer?) (listof boolean?))\n )",
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"lang": "Erlang",
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"code": "-spec check_arithmetic_subarrays(Nums :: [integer()], L :: [integer()], R :: [integer()]) -> [boolean()].\ncheck_arithmetic_subarrays(Nums, L, R) ->\n .",
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"lang": "Elixir",
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"code": "defmodule Solution do\n @spec check_arithmetic_subarrays(nums :: [integer], l :: [integer], r :: [integer]) :: [boolean]\n def check_arithmetic_subarrays(nums, l, r) do\n \n end\nend",
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"hints": [
"To check if a given sequence is arithmetic, just check that the difference between every two consecutive elements is the same.",
"If and only if a set of numbers can make an arithmetic sequence, then its sorted version makes an arithmetic sequence. So to check a set of numbers, sort it, and check if that sequence is arithmetic.",
"For each query, get the corresponding set of numbers which will be the sub-array represented by the query, sort it, and check if the result sequence is arithmetic."
],
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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. 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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://github.com/datastructures-js/queue/tree/e63563025a5a805aa16928cb53bcd517bfea9230\\\" 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 1.21</code></p>\\r\\n<p>Support <a href=\\\"https://github.com/emirpasic/gods/tree/v1.18.1\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/[email protected]</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>. 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