mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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187 lines
17 KiB
JSON
187 lines
17 KiB
JSON
{
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"questionId": "1832",
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"title": "Minimum Operations to Make a Subsequence",
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"content": "<p>You are given an array <code>target</code> that consists of <strong>distinct</strong> integers and another integer array <code>arr</code> that <strong>can</strong> have duplicates.</p>\n\n<p>In one operation, you can insert any integer at any position in <code>arr</code>. For example, if <code>arr = [1,4,1,2]</code>, you can add <code>3</code> in the middle and make it <code>[1,4,<u>3</u>,1,2]</code>. Note that you can insert the integer at the very beginning or end of the array.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of operations needed to make </em><code>target</code><em> a <strong>subsequence</strong> of </em><code>arr</code><em>.</em></p>\n\n<p>A <strong>subsequence</strong> of an array is a new array generated from the original array by deleting some elements (possibly none) without changing the remaining elements' relative order. For example, <code>[2,7,4]</code> is a subsequence of <code>[4,<u>2</u>,3,<u>7</u>,2,1,<u>4</u>]</code> (the underlined elements), while <code>[2,4,2]</code> is not.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> target = [5,1,3], <code>arr</code> = [9,4,2,3,4]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> You can add 5 and 1 in such a way that makes <code>arr</code> = [<u>5</u>,9,4,<u>1</u>,2,3,4], then target will be a subsequence of <code>arr</code>.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> target = [6,4,8,1,3,2], <code>arr</code> = [4,7,6,2,3,8,6,1]\n<strong>Output:</strong> 3\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= target.length, arr.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= target[i], arr[i] <= 10<sup>9</sup></code></li>\n\t<li><code>target</code> contains no duplicates.</li>\n</ul>\n",
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"difficulty": "Hard",
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"exampleTestcases": "[5,1,3]\n[9,4,2,3,4]\n[6,4,8,1,3,2]\n[4,7,6,2,3,8,6,1]",
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"categoryTitle": "Algorithms",
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"code": "class Solution {\npublic:\n int minOperations(vector<int>& target, vector<int>& arr) {\n \n }\n};",
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"code": "class Solution(object):\n def minOperations(self, target, arr):\n \"\"\"\n :type target: List[int]\n :type arr: List[int]\n :rtype: int\n \"\"\"\n ",
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"code": "int minOperations(int* target, int targetSize, int* arr, int arrSize) {\n \n}",
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"code": "/**\n * @param {number[]} target\n * @param {number[]} arr\n * @return {number}\n */\nvar minOperations = function(target, arr) {\n \n};",
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"code": "class Solution {\n\n /**\n * @param Integer[] $target\n * @param Integer[] $arr\n * @return Integer\n */\n function minOperations($target, $arr) {\n \n }\n}",
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"code": "class Solution {\n fun minOperations(target: IntArray, arr: IntArray): Int {\n \n }\n}",
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"code": "# @param {Integer[]} target\n# @param {Integer[]} arr\n# @return {Integer}\ndef min_operations(target, arr)\n \nend",
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"lang": "Scala",
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"code": "object Solution {\n def minOperations(target: Array[Int], arr: Array[Int]): Int = {\n \n }\n}",
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"code": "impl Solution {\n pub fn min_operations(target: Vec<i32>, arr: Vec<i32>) -> i32 {\n \n }\n}",
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"code": "(define/contract (min-operations target arr)\n (-> (listof exact-integer?) (listof exact-integer?) exact-integer?)\n )",
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"code": "-spec min_operations(Target :: [integer()], Arr :: [integer()]) -> integer().\nmin_operations(Target, Arr) ->\n .",
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"code": "defmodule Solution do\n @spec min_operations(target :: [integer], arr :: [integer]) :: integer\n def min_operations(target, arr) do\n \n end\nend",
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"hints": [
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"The problem can be reduced to computing Longest Common Subsequence between both arrays.",
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"Since one of the arrays has distinct elements, we can consider that these elements describe an arrangement of numbers, and we can replace each element in the other array with the index it appeared at in the first array.",
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"Then the problem is converted to finding Longest Increasing Subsequence in the second array, which can be done in O(n log n)."
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],
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"sampleTestCase": "[5,1,3]\n[9,4,2,3,4]",
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