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{
"data": {
"question": {
"questionId": "1953",
"questionFrontendId": "1825",
"categoryTitle": "Algorithms",
"boundTopicId": 707662,
"title": "Finding MK Average",
"titleSlug": "finding-mk-average",
"content": "<p>You are given two integers, <code>m</code> and <code>k</code>, and a stream of integers. You are tasked to implement a data structure that calculates the <strong>MKAverage</strong> for the stream.</p>\n\n<p>The <strong>MKAverage</strong> can be calculated using these steps:</p>\n\n<ol>\n\t<li>If the number of the elements in the stream is less than <code>m</code> you should consider the <strong>MKAverage</strong> to be <code>-1</code>. Otherwise, copy the last <code>m</code> elements of the stream to a separate container.</li>\n\t<li>Remove the smallest <code>k</code> elements and the largest <code>k</code> elements from the container.</li>\n\t<li>Calculate the average value for the rest of the elements <strong>rounded down to the nearest integer</strong>.</li>\n</ol>\n\n<p>Implement the <code>MKAverage</code> class:</p>\n\n<ul>\n\t<li><code>MKAverage(int m, int k)</code> Initializes the <strong>MKAverage</strong> object with an empty stream and the two integers <code>m</code> and <code>k</code>.</li>\n\t<li><code>void addElement(int num)</code> Inserts a new element <code>num</code> into the stream.</li>\n\t<li><code>int calculateMKAverage()</code> Calculates and returns the <strong>MKAverage</strong> for the current stream <strong>rounded down to the nearest integer</strong>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input</strong>\n[&quot;MKAverage&quot;, &quot;addElement&quot;, &quot;addElement&quot;, &quot;calculateMKAverage&quot;, &quot;addElement&quot;, &quot;calculateMKAverage&quot;, &quot;addElement&quot;, &quot;addElement&quot;, &quot;addElement&quot;, &quot;calculateMKAverage&quot;]\n[[3, 1], [3], [1], [], [10], [], [5], [5], [5], []]\n<strong>Output</strong>\n[null, null, null, -1, null, 3, null, null, null, 5]\n\n<strong>Explanation</strong>\nMKAverage obj = new MKAverage(3, 1); \nobj.addElement(3); // current elements are [3]\nobj.addElement(1); // current elements are [3,1]\nobj.calculateMKAverage(); // return -1, because m = 3 and only 2 elements exist.\nobj.addElement(10); // current elements are [3,1,10]\nobj.calculateMKAverage(); // The last 3 elements are [3,1,10].\n // After removing smallest and largest 1 element the container will be <code>[3].\n // The average of [3] equals 3/1 = 3, return 3\nobj.addElement(5); // current elements are [3,1,10,5]\nobj.addElement(5); // current elements are [3,1,10,5,5]\nobj.addElement(5); // current elements are [3,1,10,5,5,5]\nobj.calculateMKAverage(); // The last 3 elements are [5,5,5].\n // After removing smallest and largest 1 element the container will be <code>[5].\n // The average of [5] equals 5/1 = 5, return 5\n</code></code></pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= m &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k*2 &lt; m</code></li>\n\t<li><code>1 &lt;= num &lt;= 10<sup>5</sup></code></li>\n\t<li>At most <code>10<sup>5</sup></code> calls will be made to <code>addElement</code> and <code>calculateMKAverage</code>.</li>\n</ul>\n",
"translatedTitle": "求出 MK 平均值",
"translatedContent": "<p>给你两个整数 <code>m</code> 和 <code>k</code> ,以及数据流形式的若干整数。你需要实现一个数据结构,计算这个数据流的 <b>MK 平均值</b> 。</p>\n\n<p><strong>MK 平均值</strong> 按照如下步骤计算:</p>\n\n<ol>\n\t<li>如果数据流中的整数少于 <code>m</code> 个,<strong>MK 平均值</strong> 为 <code>-1</code> ,否则将数据流中最后 <code>m</code> 个元素拷贝到一个独立的容器中。</li>\n\t<li>从这个容器中删除最小的 <code>k</code> 个数和最大的 <code>k</code> 个数。</li>\n\t<li>计算剩余元素的平均值,并 <strong>向下取整到最近的整数</strong> 。</li>\n</ol>\n\n<p>请你实现 <code>MKAverage</code> 类:</p>\n\n<ul>\n\t<li><code>MKAverage(int m, int k)</code> 用一个空的数据流和两个整数 <code>m</code> 和 <code>k</code> 初始化 <strong>MKAverage</strong> 对象。</li>\n\t<li><code>void addElement(int num)</code> 往数据流中插入一个新的元素 <code>num</code> 。</li>\n\t<li><code>int calculateMKAverage()</code> 对当前的数据流计算并返回 <strong>MK 平均数</strong> ,结果需 <strong>向下取整到最近的整数</strong> 。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>\n[\"MKAverage\", \"addElement\", \"addElement\", \"calculateMKAverage\", \"addElement\", \"calculateMKAverage\", \"addElement\", \"addElement\", \"addElement\", \"calculateMKAverage\"]\n[[3, 1], [3], [1], [], [10], [], [5], [5], [5], []]\n<strong>输出:</strong>\n[null, null, null, -1, null, 3, null, null, null, 5]\n\n<strong>解释:</strong>\nMKAverage obj = new MKAverage(3, 1); \nobj.addElement(3); // 当前元素为 [3]\nobj.addElement(1); // 当前元素为 [3,1]\nobj.calculateMKAverage(); // 返回 -1 ,因为 m = 3 ,但数据流中只有 2 个元素\nobj.addElement(10); // 当前元素为 [3,1,10]\nobj.calculateMKAverage(); // 最后 3 个元素为 [3,1,10]\n // 删除最小以及最大的 1 个元素后,容器为 <code>[3]\n // [3] 的平均值等于 3/1 = 3 ,故返回 3\nobj.addElement(5); // 当前元素为 [3,1,10,5]\nobj.addElement(5); // 当前元素为 [3,1,10,5,5]\nobj.addElement(5); // 当前元素为 [3,1,10,5,5,5]\nobj.calculateMKAverage(); // 最后 3 个元素为 [5,5,5]\n // </code>删除最小以及最大的 1 个元素后,容器为 <code>[5]<code>\n // </code>[5] 的平均值等于 5/1 = 5 ,故返回 5<code>\n</code></code></pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>3 <= m <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= k*2 < m</code></li>\n\t<li><code>1 <= num <= 10<sup>5</sup></code></li>\n\t<li><code>addElement</code> 与 <code>calculateMKAverage</code> 总操作次数不超过 <code>10<sup>5</sup></code> 次。</li>\n</ul>\n",
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"lang": "C++",
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"code": "class MKAverage {\npublic:\n MKAverage(int m, int k) {\n\n }\n \n void addElement(int num) {\n\n }\n \n int calculateMKAverage() {\n\n }\n};\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * MKAverage* obj = new MKAverage(m, k);\n * obj->addElement(num);\n * int param_2 = obj->calculateMKAverage();\n */",
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"lang": "Java",
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"code": "class MKAverage {\n\n public MKAverage(int m, int k) {\n\n }\n \n public void addElement(int num) {\n\n }\n \n public int calculateMKAverage() {\n\n }\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * MKAverage obj = new MKAverage(m, k);\n * obj.addElement(num);\n * int param_2 = obj.calculateMKAverage();\n */",
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"lang": "Python",
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"code": "class MKAverage(object):\n\n def __init__(self, m, k):\n \"\"\"\n :type m: int\n :type k: int\n \"\"\"\n\n\n def addElement(self, num):\n \"\"\"\n :type num: int\n :rtype: None\n \"\"\"\n\n\n def calculateMKAverage(self):\n \"\"\"\n :rtype: int\n \"\"\"\n\n\n\n# Your MKAverage object will be instantiated and called as such:\n# obj = MKAverage(m, k)\n# obj.addElement(num)\n# param_2 = obj.calculateMKAverage()",
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"lang": "Python3",
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"code": "class MKAverage:\n\n def __init__(self, m: int, k: int):\n\n\n def addElement(self, num: int) -> None:\n\n\n def calculateMKAverage(self) -> int:\n\n\n\n# Your MKAverage object will be instantiated and called as such:\n# obj = MKAverage(m, k)\n# obj.addElement(num)\n# param_2 = obj.calculateMKAverage()",
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"lang": "C",
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"code": "\n\n\ntypedef struct {\n\n} MKAverage;\n\n\nMKAverage* mKAverageCreate(int m, int k) {\n\n}\n\nvoid mKAverageAddElement(MKAverage* obj, int num) {\n\n}\n\nint mKAverageCalculateMKAverage(MKAverage* obj) {\n\n}\n\nvoid mKAverageFree(MKAverage* obj) {\n\n}\n\n/**\n * Your MKAverage struct will be instantiated and called as such:\n * MKAverage* obj = mKAverageCreate(m, k);\n * mKAverageAddElement(obj, num);\n \n * int param_2 = mKAverageCalculateMKAverage(obj);\n \n * mKAverageFree(obj);\n*/",
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"code": "public class MKAverage {\n\n public MKAverage(int m, int k) {\n\n }\n \n public void AddElement(int num) {\n\n }\n \n public int CalculateMKAverage() {\n\n }\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * MKAverage obj = new MKAverage(m, k);\n * obj.AddElement(num);\n * int param_2 = obj.CalculateMKAverage();\n */",
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"code": "/**\n * @param {number} m\n * @param {number} k\n */\nvar MKAverage = function(m, k) {\n\n};\n\n/** \n * @param {number} num\n * @return {void}\n */\nMKAverage.prototype.addElement = function(num) {\n\n};\n\n/**\n * @return {number}\n */\nMKAverage.prototype.calculateMKAverage = function() {\n\n};\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * var obj = new MKAverage(m, k)\n * obj.addElement(num)\n * var param_2 = obj.calculateMKAverage()\n */",
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"lang": "Ruby",
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"code": "class MKAverage\n\n=begin\n :type m: Integer\n :type k: Integer\n=end\n def initialize(m, k)\n\n end\n\n\n=begin\n :type num: Integer\n :rtype: Void\n=end\n def add_element(num)\n\n end\n\n\n=begin\n :rtype: Integer\n=end\n def calculate_mk_average()\n\n end\n\n\nend\n\n# Your MKAverage object will be instantiated and called as such:\n# obj = MKAverage.new(m, k)\n# obj.add_element(num)\n# param_2 = obj.calculate_mk_average()",
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"code": "\nclass MKAverage {\n\n init(_ m: Int, _ k: Int) {\n\n }\n \n func addElement(_ num: Int) {\n\n }\n \n func calculateMKAverage() -> Int {\n\n }\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * let obj = MKAverage(m, k)\n * obj.addElement(num)\n * let ret_2: Int = obj.calculateMKAverage()\n */",
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"code": "type MKAverage struct {\n\n}\n\n\nfunc Constructor(m int, k int) MKAverage {\n\n}\n\n\nfunc (this *MKAverage) AddElement(num int) {\n\n}\n\n\nfunc (this *MKAverage) CalculateMKAverage() int {\n\n}\n\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * obj := Constructor(m, k);\n * obj.AddElement(num);\n * param_2 := obj.CalculateMKAverage();\n */",
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"lang": "Scala",
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"code": "class MKAverage(_m: Int, _k: Int) {\n\n def addElement(num: Int) {\n \n }\n\n def calculateMKAverage(): Int = {\n \n }\n\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * var obj = new MKAverage(m, k)\n * obj.addElement(num)\n * var param_2 = obj.calculateMKAverage()\n */",
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"code": "class MKAverage(m: Int, k: Int) {\n\n fun addElement(num: Int) {\n\n }\n\n fun calculateMKAverage(): Int {\n\n }\n\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * var obj = MKAverage(m, k)\n * obj.addElement(num)\n * var param_2 = obj.calculateMKAverage()\n */",
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"code": "struct MKAverage {\n\n}\n\n\n/**\n * `&self` means the method takes an immutable reference.\n * If you need a mutable reference, change it to `&mut self` instead.\n */\nimpl MKAverage {\n\n fn new(m: i32, k: i32) -> Self {\n\n }\n \n fn add_element(&self, num: i32) {\n\n }\n \n fn calculate_mk_average(&self) -> i32 {\n\n }\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * let obj = MKAverage::new(m, k);\n * obj.add_element(num);\n * let ret_2: i32 = obj.calculate_mk_average();\n */",
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"code": "class MKAverage {\n /**\n * @param Integer $m\n * @param Integer $k\n */\n function __construct($m, $k) {\n\n }\n\n /**\n * @param Integer $num\n * @return NULL\n */\n function addElement($num) {\n\n }\n\n /**\n * @return Integer\n */\n function calculateMKAverage() {\n\n }\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * $obj = MKAverage($m, $k);\n * $obj->addElement($num);\n * $ret_2 = $obj->calculateMKAverage();\n */",
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"code": "class MKAverage {\n constructor(m: number, k: number) {\n\n }\n\n addElement(num: number): void {\n\n }\n\n calculateMKAverage(): number {\n\n }\n}\n\n/**\n * Your MKAverage object will be instantiated and called as such:\n * var obj = new MKAverage(m, k)\n * obj.addElement(num)\n * var param_2 = obj.calculateMKAverage()\n */",
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"code": "(define mk-average%\n (class object%\n (super-new)\n\n ; m : exact-integer?\n\n ; k : exact-integer?\n (init-field\n m\n k)\n \n ; add-element : exact-integer? -> void?\n (define/public (add-element num)\n\n )\n ; calculate-mk-average : -> exact-integer?\n (define/public (calculate-mk-average)\n\n )))\n\n;; Your mk-average% object will be instantiated and called as such:\n;; (define obj (new mk-average% [m m] [k k]))\n;; (send obj add-element num)\n;; (define param_2 (send obj calculate-mk-average))",
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"code": "-spec mk_average_init_(M :: integer(), K :: integer()) -> any().\nmk_average_init_(M, K) ->\n .\n\n-spec mk_average_add_element(Num :: integer()) -> any().\nmk_average_add_element(Num) ->\n .\n\n-spec mk_average_calculate_mk_average() -> integer().\nmk_average_calculate_mk_average() ->\n .\n\n\n%% Your functions will be called as such:\n%% mk_average_init_(M, K),\n%% mk_average_add_element(Num),\n%% Param_2 = mk_average_calculate_mk_average(),\n\n%% mk_average_init_ will be called before every test case, in which you can do some necessary initializations.",
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"code": "defmodule MKAverage do\n @spec init_(m :: integer, k :: integer) :: any\n def init_(m, k) do\n\n end\n\n @spec add_element(num :: integer) :: any\n def add_element(num) do\n\n end\n\n @spec calculate_mk_average() :: integer\n def calculate_mk_average() do\n\n end\nend\n\n# Your functions will be called as such:\n# MKAverage.init_(m, k)\n# MKAverage.add_element(num)\n# param_2 = MKAverage.calculate_mk_average()\n\n# MKAverage.init_ will be called before every test case, in which you can do some necessary initializations.",
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"hints": [
"At each query, try to save and update the sum of the elements needed to calculate MKAverage.",
"You can use BSTs for fast insertion and deletion of the elements."
],
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