leetcode-problemset/leetcode/originData/find-the-maximum-number-of-marked-indices.json

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            "questionId": "2712",
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            "title": "Find the Maximum Number of Marked Indices",
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            "content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>.</p>\n\n<p>Initially, all of the indices are unmarked. You are allowed to make this operation any number of times:</p>\n\n<ul>\n\t<li>Pick two <strong>different unmarked</strong> indices <code>i</code> and <code>j</code> such that <code>2 * nums[i] &lt;= nums[j]</code>, then mark <code>i</code> and <code>j</code>.</li>\n</ul>\n\n<p>Return <em>the maximum possible number of marked indices in <code>nums</code> using the above operation any number of times</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,5,2,4]\n<strong>Output:</strong> 2\n<strong>Explanation: </strong>In the first operation: pick i = 2 and j = 1, the operation is allowed because 2 * nums[2] &lt;= nums[1]. Then mark index 2 and 1.\nIt can be shown that there&#39;s no other valid operation so the answer is 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [9,2,5,4]\n<strong>Output:</strong> 4\n<strong>Explanation: </strong>In the first operation: pick i = 3 and j = 0, the operation is allowed because 2 * nums[3] &lt;= nums[0]. Then mark index 3 and 0.\nIn the second operation: pick i = 1 and j = 2, the operation is allowed because 2 * nums[1] &lt;= nums[2]. Then mark index 1 and 2.\nSince there is no other operation, the answer is 4.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [7,6,8]\n<strong>Output:</strong> 0\n<strong>Explanation: </strong>There is no valid operation to do, so the answer is 0.\n\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n<style type=\"text/css\">.spoilerbutton {display:block; border:dashed; padding: 0px 0px; margin:10px 0px; font-size:150%; font-weight: bold; color:#000000; background-color:cyan; outline:0; \n}\n.spoiler {overflow:hidden;}\n.spoiler > div {-webkit-transition: all 0s ease;-moz-transition: margin 0s ease;-o-transition: all 0s ease;transition: margin 0s ease;}\n.spoilerbutton[value=\"Show Message\"] + .spoiler > div {margin-top:-500%;}\n.spoilerbutton[value=\"Hide Message\"] + .spoiler {padding:5px;}\n</style>\n",
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                    "lang": "C++",
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                    "code": "class Solution {\npublic:\n    int maxNumOfMarkedIndices(vector<int>& nums) {\n        \n    }\n};",
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                    "code": "class Solution(object):\n    def maxNumOfMarkedIndices(self, nums):\n        \"\"\"\n        :type nums: List[int]\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "/**\n * @param {number[]} nums\n * @return {number}\n */\nvar maxNumOfMarkedIndices = function(nums) {\n    \n};",
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                    "code": "# @param {Integer[]} nums\n# @return {Integer}\ndef max_num_of_marked_indices(nums)\n    \nend",
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                    "code": "class Solution {\n    func maxNumOfMarkedIndices(_ nums: [Int]) -> Int {\n        \n    }\n}",
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                    "code": "object Solution {\n    def maxNumOfMarkedIndices(nums: Array[Int]): Int = {\n        \n    }\n}",
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                    "code": "class Solution {\n    fun maxNumOfMarkedIndices(nums: IntArray): Int {\n        \n    }\n}",
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                    "code": "impl Solution {\n    pub fn max_num_of_marked_indices(nums: Vec<i32>) -> i32 {\n        \n    }\n}",
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                    "lang": "PHP",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer[] $nums\n     * @return Integer\n     */\n    function maxNumOfMarkedIndices($nums) {\n        \n    }\n}",
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                    "lang": "Erlang",
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                    "lang": "Elixir",
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            "hints": [
                "Think about how to check that performing k operations is possible.",
                "To perform k operations, it’s optimal to use the smallest k elements and the largest k elements and think about how to match them.",
                "It’s optimal to match the ith smallest number with the k-i + 1 largest number.",
                "Now we need to binary search on the answer and find the greatest possible valid k."
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