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\"className\": \"token punctuation\"\n }), \"}\")))), mdx(\"p\", null, \"Question: \"), mdx(\"ul\", null, mdx(\"li\", {\n parentName: \"ul\"\n }, \"why we need \", mdx(\"code\", _extends({\n parentName: \"li\"\n }, {\n \"className\": \"language-text\"\n }), \"int[] temp\"), \"?\\nbecause we can\\u2019t finish \", mdx(\"code\", _extends({\n parentName: \"li\"\n }, {\n \"className\": \"language-text\"\n }), \"merge()\"), \" in-place, we should also notice where to new this temp array. If we new it in \", mdx(\"code\", _extends({\n parentName: \"li\"\n }, {\n \"className\": \"language-text\"\n }), \"mergeSort()\"), \", it will be called many times in the process of recursion.\")), mdx(\"h3\", null, \"Algorithm Complexity\"), mdx(\"h4\", null, \"Time complexity:\"), mdx(\"p\", null, \"O(nlogn + n ) => O(nlogn)\"), mdx(\"p\", null, \"It divide to two parts: divide and merge.\"), mdx(\"ul\", null, mdx(\"li\", {\n parentName: \"ul\"\n }, \"For divide: O(1 + 2 + 4 + \\u2026 + n/2) = O(n)\", mdx(\"ul\", {\n parentName: \"li\"\n }, mdx(\"li\", {\n parentName: \"ul\"\n }, \"For first level, we need cut 1 time.\"), mdx(\"li\", {\n parentName: \"ul\"\n }, \"For second level, we neeed cut 2 times.\"), mdx(\"li\", {\n parentName: \"ul\"\n }, \"For n level, there are n nodes, so we need cut n/2 times.\"))), mdx(\"li\", {\n parentName: \"ul\"\n }, \"For merge: O(nlogn)\", mdx(\"ul\", {\n parentName: \"li\"\n }, mdx(\"li\", {\n parentName: \"ul\"\n }, \"For every level, there are always n elements remaining to be merged.\")))), mdx(\"h4\", null, \"Space complexity:\"), mdx(\"p\", null, \"O(n + logn) => O(n)\"), mdx(\"ol\", null, mdx(\"li\", {\n parentName: \"ol\"\n }, mdx(\"code\", _extends({\n parentName: \"li\"\n }, {\n \"className\": \"language-text\"\n }), \"int[] temp\"), \": O(n)\"), mdx(\"li\", {\n parentName: \"ol\"\n }, \"call stack: O(the height of recursion tree) = O(logn)\")), mdx(\"ul\", null, mdx(\"li\", {\n parentName: \"ul\"\n }, \"stable\")), mdx(\"h2\", null, \"Quicksort\"), mdx(\"p\", null, mdx(\"img\", _extends({\n parentName: \"p\"\n }, {\n \"src\": \"https://upload.wikimedia.org/wikipedia/commons/6/6a/Sorting_quicksort_anim.gif\",\n \"alt\": \"image\"\n })), \"\\nThere are 2 steps:\"), mdx(\"ol\", null, mdx(\"li\", {\n parentName: \"ol\"\n }, \"choose a pivot and divide the list to two parts, all elements on the left side of pivot are all <= pivot, all elements on the right side of pivot are all >= pivot.\"), mdx(\"li\", {\n parentName: \"ol\"\n }, \"do quickSort for the two parts recursively. \")), mdx(\"div\", {\n \"className\": \"gatsby-highlight\",\n \"data-language\": \"java\"\n }, mdx(\"pre\", _extends({\n parentName: \"div\"\n }, {\n \"className\": \"language-java\"\n }), mdx(\"code\", _extends({\n parentName: \"pre\"\n }, {\n \"className\": \"language-java\"\n }), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"public\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"class\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"Solution\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token comment\"\n }), \"/**\\n * @param A: an integer array\\n * @return: nothing\\n */\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"public\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"void\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"sortIntegers\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"A\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" 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parentName: \"code\"\n }, {\n \"className\": \"token number\"\n }), \"1\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"private\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"void\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"quickSort\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), mdx(\"span\", 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\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"mid\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), \" left \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" start\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), \" right \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" end\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token comment\"\n }), \"// why left <= right not left < right?\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"while\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"left \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"<=\"), \" right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token comment\"\n }), \"// why nums[left] < pivot not nums[left] <= pivot?\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"while\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"left \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"<=\"), \" right \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"&&\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"<\"), \" pivot\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"++\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"while\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"left \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"<=\"), \" right \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"&&\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \">\"), \" pivot\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"--\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"if\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"left \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"<=\"), \" right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"swap\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"++\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"--\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"quickSort\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" start\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"quickSort\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" end\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"private\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"void\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"swap\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), \" left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), \" right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), \" temp \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"left\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), \"right\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" temp\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\")))), mdx(\"p\", null, \"Questions:\"), mdx(\"ul\", null, mdx(\"li\", {\n parentName: \"ul\"\n }, \"why left <= right not left < right?\")), mdx(\"p\", null, \"If \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"left < right\"), \", at the end of while loop, the left will equal to right, and then we will do quicksort for two intervals \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"[start, right]\"), \" and \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"[left, end]\"), \". There is an overlap between two intervals. Take \", \"[1, 2]\", \" as an example, at the end of the code, we should do \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"quickSort\"), \" for \", \"[1, 2]\", \" again, which means we do not reduce the size of the problem and causes infinite recursion.\"), mdx(\"ul\", null, mdx(\"li\", {\n parentName: \"ul\"\n }, \"why nums\", \"[left]\", \" < pivot not nums\", \"[left]\", \" <= pivot?\")), mdx(\"p\", null, \"Assume the list = \", \"[1 1 1 1 1 1]\", \", if \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"nums[left] <= pivot\"), \", the left pointer will move to the end of the list. \"), mdx(\"div\", {\n \"className\": \"gatsby-highlight\",\n \"data-language\": \"text\"\n }, mdx(\"pre\", _extends({\n parentName: \"div\"\n }, {\n \"className\": \"language-text\"\n }), mdx(\"code\", _extends({\n parentName: \"pre\"\n }, {\n \"className\": \"language-text\"\n }), \"[1 1 1 1 1 1]\\n r l\"))), mdx(\"p\", null, \"and we will do \", mdx(\"code\", _extends({\n parentName: \"p\"\n }, {\n \"className\": \"language-text\"\n }), \"quickSort\"), \" for \", \"[start, right]\", \".\\nAlso, we do not reduce the size of the problem.\"), mdx(\"h3\", null, \"Algorithm Complexity\"), mdx(\"ul\", null, mdx(\"li\", {\n parentName: \"ul\"\n }, \"Worst-case time complexity: O(n^2)\"), mdx(\"li\", {\n parentName: \"ul\"\n }, \"average time complexity: O(nlogn)\"), mdx(\"li\", {\n parentName: \"ul\"\n }, \"space complexity: O(n), worst case\\u2019s the height of recursion tree is n.\"), mdx(\"li\", {\n parentName: \"ul\"\n }, \"unstable\")), mdx(\"h2\", null, \"bucket sort\"), mdx(\"p\", null, mdx(\"a\", _extends({\n parentName: \"p\"\n }, {\n \"href\": \"https://leetcode.com/problems/top-k-frequent-elements/\"\n }), \"Leetcode 347. Top K Frequent Elements\")), mdx(\"div\", {\n \"className\": \"gatsby-highlight\",\n \"data-language\": \"java\"\n }, mdx(\"pre\", _extends({\n parentName: \"div\"\n }, {\n \"className\": \"language-java\"\n }), mdx(\"code\", _extends({\n parentName: \"pre\"\n }, {\n \"className\": \"language-java\"\n }), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"class\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"Solution\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"public\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"List\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token generics\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \"<\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token class-name\"\n }), \"Integer\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \">\")), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token function\"\n }), \"topKFrequent\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"[\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"]\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"int\"), \" k\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"List\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token generics\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \"<\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token class-name\"\n }), \"Integer\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \">\")), \" ans \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"new\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"ArrayList\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token generics\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \"<\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \">\")), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"if\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"(\"), \"nums \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"==\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"null\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"||\"), \" nums\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \".\"), \"length \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"==\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token number\"\n }), \"0\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"||\"), \" k \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"<=\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token number\"\n }), \"0\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \")\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"{\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"return\"), \" ans\", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \";\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token punctuation\"\n }), \"}\"), \"\\n \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"Map\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token generics\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \"<\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token class-name\"\n }), \"Integer\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \",\"), \" \", mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token class-name\"\n }), \"Integer\"), mdx(\"span\", _extends({\n parentName: \"span\"\n }, {\n \"className\": \"token punctuation\"\n }), \">\")), \" map \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token operator\"\n }), \"=\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token keyword\"\n }), \"new\"), \" \", mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token class-name\"\n }), \"HashMap\"), mdx(\"span\", _extends({\n parentName: \"code\"\n }, {\n \"className\": \"token generics\"\n }), mdx(\"span\", _extends({\n parentName: \"span\"\n }, 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