mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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164 lines
23 KiB
JSON
164 lines
23 KiB
JSON
{
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"data": {
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"question": {
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"questionId": "3238",
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"questionFrontendId": "2977",
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"boundTopicId": null,
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"title": "Minimum Cost to Convert String II",
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"titleSlug": "minimum-cost-to-convert-string-ii",
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"content": "<p>You are given two <strong>0-indexed</strong> strings <code>source</code> and <code>target</code>, both of length <code>n</code> and consisting of <strong>lowercase</strong> English characters. You are also given two <strong>0-indexed</strong> string arrays <code>original</code> and <code>changed</code>, and an integer array <code>cost</code>, where <code>cost[i]</code> represents the cost of converting the string <code>original[i]</code> to the string <code>changed[i]</code>.</p>\n\n<p>You start with the string <code>source</code>. In one operation, you can pick a <strong>substring</strong> <code>x</code> from the string, and change it to <code>y</code> at a cost of <code>z</code> <strong>if</strong> there exists <strong>any</strong> index <code>j</code> such that <code>cost[j] == z</code>, <code>original[j] == x</code>, and <code>changed[j] == y</code>. You are allowed to do <strong>any</strong> number of operations, but any pair of operations must satisfy <strong>either</strong> of these two conditions:</p>\n\n<ul>\n\t<li>The substrings picked in the operations are <code>source[a..b]</code> and <code>source[c..d]</code> with either <code>b < c</code> <strong>or</strong> <code>d < a</code>. In other words, the indices picked in both operations are <strong>disjoint</strong>.</li>\n\t<li>The substrings picked in the operations are <code>source[a..b]</code> and <code>source[c..d]</code> with <code>a == c</code> <strong>and</strong> <code>b == d</code>. In other words, the indices picked in both operations are <strong>identical</strong>.</li>\n</ul>\n\n<p>Return <em>the <strong>minimum</strong> cost to convert the string </em><code>source</code><em> to the string </em><code>target</code><em> using <strong>any</strong> number of operations</em>. <em>If it is impossible to convert</em> <code>source</code> <em>to</em> <code>target</code>,<em> return</em> <code>-1</code>.</p>\n\n<p><strong>Note</strong> that there may exist indices <code>i</code>, <code>j</code> such that <code>original[j] == original[i]</code> and <code>changed[j] == changed[i]</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> source = "abcd", target = "acbe", original = ["a","b","c","c","e","d"], changed = ["b","c","b","e","b","e"], cost = [2,5,5,1,2,20]\n<strong>Output:</strong> 28\n<strong>Explanation:</strong> To convert "abcd" to "acbe", do the following operations:\n- Change substring source[1..1] from "b" to "c" at a cost of 5.\n- Change substring source[2..2] from "c" to "e" at a cost of 1.\n- Change substring source[2..2] from "e" to "b" at a cost of 2.\n- Change substring source[3..3] from "d" to "e" at a cost of 20.\nThe total cost incurred is 5 + 1 + 2 + 20 = 28. \nIt can be shown that this is the minimum possible cost.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> source = "abcdefgh", target = "acdeeghh", original = ["bcd","fgh","thh"], changed = ["cde","thh","ghh"], cost = [1,3,5]\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> To convert "abcdefgh" to "acdeeghh", do the following operations:\n- Change substring source[1..3] from "bcd" to "cde" at a cost of 1.\n- Change substring source[5..7] from "fgh" to "thh" at a cost of 3. We can do this operation because indices [5,7] are disjoint with indices picked in the first operation.\n- Change substring source[5..7] from "thh" to "ghh" at a cost of 5. We can do this operation because indices [5,7] are disjoint with indices picked in the first operation, and identical with indices picked in the second operation.\nThe total cost incurred is 1 + 3 + 5 = 9.\nIt can be shown that this is the minimum possible cost.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> source = "abcdefgh", target = "addddddd", original = ["bcd","defgh"], changed = ["ddd","ddddd"], cost = [100,1578]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It is impossible to convert "abcdefgh" to "addddddd".\nIf you select substring source[1..3] as the first operation to change "abcdefgh" to "adddefgh", you cannot select substring source[3..7] as the second operation because it has a common index, 3, with the first operation.\nIf you select substring source[3..7] as the first operation to change "abcdefgh" to "abcddddd", you cannot select substring source[1..3] as the second operation because it has a common index, 3, with the first operation.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= source.length == target.length <= 1000</code></li>\n\t<li><code>source</code>, <code>target</code> consist only of lowercase English characters.</li>\n\t<li><code>1 <= cost.length == original.length == changed.length <= 100</code></li>\n\t<li><code>1 <= original[i].length == changed[i].length <= source.length</code></li>\n\t<li><code>original[i]</code>, <code>changed[i]</code> consist only of lowercase English characters.</li>\n\t<li><code>original[i] != changed[i]</code></li>\n\t<li><code>1 <= cost[i] <= 10<sup>6</sup></code></li>\n</ul>\n",
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"difficulty": "Hard",
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"likes": 58,
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"similarQuestions": "[{\"title\": \"Can Convert String in K Moves\", \"titleSlug\": \"can-convert-string-in-k-moves\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Minimum Moves to Convert String\", \"titleSlug\": \"minimum-moves-to-convert-string\", \"difficulty\": \"Easy\", \"translatedTitle\": null}]",
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"exampleTestcases": "\"abcd\"\n\"acbe\"\n[\"a\",\"b\",\"c\",\"c\",\"e\",\"d\"]\n[\"b\",\"c\",\"b\",\"e\",\"b\",\"e\"]\n[2,5,5,1,2,20]\n\"abcdefgh\"\n\"acdeeghh\"\n[\"bcd\",\"fgh\",\"thh\"]\n[\"cde\",\"thh\",\"ghh\"]\n[1,3,5]\n\"abcdefgh\"\n\"addddddd\"\n[\"bcd\",\"defgh\"]\n[\"ddd\",\"ddddd\"]\n[100,1578]",
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"categoryTitle": "Algorithms",
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"lang": "C++",
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"code": "class Solution {\npublic:\n long long minimumCost(string source, string target, vector<string>& original, vector<string>& changed, vector<int>& cost) {\n \n }\n};",
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"lang": "Java",
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"code": "class Solution {\n public long minimumCost(String source, String target, String[] original, String[] changed, int[] cost) {\n \n }\n}",
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"lang": "Python",
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"langSlug": "python",
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"code": "class Solution(object):\n def minimumCost(self, source, target, original, changed, cost):\n \"\"\"\n :type source: str\n :type target: str\n :type original: List[str]\n :type changed: List[str]\n :type cost: List[int]\n :rtype: int\n \"\"\"\n ",
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"code": "class Solution:\n def minimumCost(self, source: str, target: str, original: List[str], changed: List[str], cost: List[int]) -> int:\n ",
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"lang": "C",
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"code": "long long minimumCost(char* source, char* target, char** original, int originalSize, char** changed, int changedSize, int* cost, int costSize) {\n \n}",
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"lang": "C#",
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"code": "public class Solution {\n public long MinimumCost(string source, string target, string[] original, string[] changed, int[] cost) {\n \n }\n}",
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"lang": "JavaScript",
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"code": "/**\n * @param {string} source\n * @param {string} target\n * @param {string[]} original\n * @param {string[]} changed\n * @param {number[]} cost\n * @return {number}\n */\nvar minimumCost = function(source, target, original, changed, cost) {\n \n};",
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"lang": "TypeScript",
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"code": "function minimumCost(source: string, target: string, original: string[], changed: string[], cost: number[]): number {\n \n};",
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"lang": "PHP",
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"code": "class Solution {\n\n /**\n * @param String $source\n * @param String $target\n * @param String[] $original\n * @param String[] $changed\n * @param Integer[] $cost\n * @return Integer\n */\n function minimumCost($source, $target, $original, $changed, $cost) {\n \n }\n}",
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{
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"lang": "Swift",
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"langSlug": "swift",
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"code": "class Solution {\n func minimumCost(_ source: String, _ target: String, _ original: [String], _ changed: [String], _ cost: [Int]) -> Int {\n \n }\n}",
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"lang": "Kotlin",
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"langSlug": "kotlin",
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"code": "class Solution {\n fun minimumCost(source: String, target: String, original: Array<String>, changed: Array<String>, cost: IntArray): Long {\n \n }\n}",
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"lang": "Dart",
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"langSlug": "dart",
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"code": "class Solution {\n int minimumCost(String source, String target, List<String> original, List<String> changed, List<int> cost) {\n \n }\n}",
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"lang": "Go",
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"langSlug": "golang",
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"code": "func minimumCost(source string, target string, original []string, changed []string, cost []int) int64 {\n \n}",
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"lang": "Ruby",
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"code": "# @param {String} source\n# @param {String} target\n# @param {String[]} original\n# @param {String[]} changed\n# @param {Integer[]} cost\n# @return {Integer}\ndef minimum_cost(source, target, original, changed, cost)\n \nend",
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"lang": "Scala",
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"langSlug": "scala",
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"code": "object Solution {\n def minimumCost(source: String, target: String, original: Array[String], changed: Array[String], cost: Array[Int]): Long = {\n \n }\n}",
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"__typename": "CodeSnippetNode"
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{
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"lang": "Rust",
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"langSlug": "rust",
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"code": "impl Solution {\n pub fn minimum_cost(source: String, target: String, original: Vec<String>, changed: Vec<String>, cost: Vec<i32>) -> i64 {\n \n }\n}",
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"__typename": "CodeSnippetNode"
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{
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"lang": "Racket",
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"langSlug": "racket",
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"code": "(define/contract (minimum-cost source target original changed cost)\n (-> string? string? (listof string?) (listof string?) (listof exact-integer?) exact-integer?)\n )",
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"__typename": "CodeSnippetNode"
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{
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"lang": "Erlang",
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"langSlug": "erlang",
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"code": "-spec minimum_cost(Source :: unicode:unicode_binary(), Target :: unicode:unicode_binary(), Original :: [unicode:unicode_binary()], Changed :: [unicode:unicode_binary()], Cost :: [integer()]) -> integer().\nminimum_cost(Source, Target, Original, Changed, Cost) ->\n .",
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},
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{
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"lang": "Elixir",
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"langSlug": "elixir",
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"code": "defmodule Solution do\n @spec minimum_cost(source :: String.t, target :: String.t, original :: [String.t], changed :: [String.t], cost :: [integer]) :: integer\n def minimum_cost(source, target, original, changed, cost) do\n \n end\nend",
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}
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],
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"hints": [
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"Give each unique string in <code>original</code> and <code>changed</code> arrays a unique id. There are at most <code>2 * m</code> unique strings in total where <code>m</code> is the length of the arrays. We can put them into a hash map to assign ids.",
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"We can pre-compute the smallest costs between all pairs of unique strings using Floyd Warshall algorithm in <code>O(m ^ 3)</code> time complexity.",
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"Let <code>dp[i]</code> be the smallest cost to change the first <code>i</code> characters (prefix) of <code>source</code> into <code>target</code>, leaving the suffix untouched.\r\nWe have <code>dp[0] = 0</code>.\r\n<code>dp[i] = min(\r\ndp[i - 1] if (source[i - 1] == target[i - 1]),\r\ndp[j-1] + cost[x][y] where x is the id of source[j..(i - 1)] and y is the id of target e[j..(i - 1)])\r\n)</code>.\r\nIf neither of the two conditions is satisfied, <code>dp[i] = infinity</code>.",
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"We can use Trie to check for the second condition in <code>O(1)</code>.",
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"The answer is <code>dp[n]</code> where <code>n</code> is <code>source.length</code>."
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],
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"solution": null,
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"status": null,
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"sampleTestCase": "\"abcd\"\n\"acbe\"\n[\"a\",\"b\",\"c\",\"c\",\"e\",\"d\"]\n[\"b\",\"c\",\"b\",\"e\",\"b\",\"e\"]\n[2,5,5,1,2,20]",
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"enableTestMode": false,
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"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 20 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</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>\"], \"java\": [\"Java\", \"<p><code>OpenJDK 21</code>. Using compile arguments: <code>--enable-preview --release 21</code></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 11</code> using the gnu11 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O2</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. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. 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-12\\\" target=\\\"_blank\\\">C# 12</a> with .NET 8 runtime</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 3.2</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 5.9</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/gods@v1.18.1</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.11</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>. 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>\"], \"scala\": [\"Scala\", \"<p><code>Scala 2.13.7</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.9.0</code>.</p>\\r\\n\\r\\n<p>We are using an experimental compiler provided by JetBrains.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.74.1</code></p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand </a> v0.6\\u00a0from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.2</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 5.1.6, Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Compile Options: <code>--alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022</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 ES2022 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"], \"racket\": [\"Racket\", \"<p><a href=\\\"https://docs.racket-lang.org/guide/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS</a> v8.11</p>\\r\\n\\r\\n<p>Using <code>#lang racket</code></p>\\r\\n\\r\\n<p>Required <code>data/gvector data/queue data/order data/heap</code> automatically for your convenience</p>\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 26\"], \"elixir\": [\"Elixir\", \"Elixir 1.15 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"<p>Dart 3.2</p>\\r\\n\\r\\n<p>Your code will be run directly without compiling</p>\"]}",
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