1
0
mirror of https://gitee.com/coder-xiaomo/leetcode-problemset synced 2025-01-11 02:58:13 +08:00
Code Issues Projects Releases Wiki Activity GitHub Gitee
leetcode-problemset/leetcode/originData/maximize-amount-after-two-days-of-conversions.json

192 lines
25 KiB
JSON
Raw Normal View History

2024-12-20 00:35:26 +08:00
{
"data": {
"question": {
"questionId": "3613",
"questionFrontendId": "3387",
"boundTopicId": null,
"title": "Maximize Amount After Two Days of Conversions",
"titleSlug": "maximize-amount-after-two-days-of-conversions",
"content": "<p>You are given a string <code>initialCurrency</code>, and you start with <code>1.0</code> of <code>initialCurrency</code>.</p>\n\n<p>You are also given four arrays with currency pairs (strings) and rates (real numbers):</p>\n\n<ul>\n\t<li><code>pairs1[i] = [startCurrency<sub>i</sub>, targetCurrency<sub>i</sub>]</code> denotes that you can convert from <code>startCurrency<sub>i</sub></code> to <code>targetCurrency<sub>i</sub></code> at a rate of <code>rates1[i]</code> on <strong>day 1</strong>.</li>\n\t<li><code>pairs2[i] = [startCurrency<sub>i</sub>, targetCurrency<sub>i</sub>]</code> denotes that you can convert from <code>startCurrency<sub>i</sub></code> to <code>targetCurrency<sub>i</sub></code> at a rate of <code>rates2[i]</code> on <strong>day 2</strong>.</li>\n\t<li>Also, each <code>targetCurrency</code> can be converted back to its corresponding <code>startCurrency</code> at a rate of <code>1 / rate</code>.</li>\n</ul>\n\n<p>You can perform <strong>any</strong> number of conversions, <strong>including zero</strong>, using <code>rates1</code> on day 1, <strong>followed</strong> by any number of additional conversions, <strong>including zero</strong>, using <code>rates2</code> on day 2.</p>\n\n<p>Return the <strong>maximum</strong> amount of <code>initialCurrency</code> you can have after performing any number of conversions on both days <strong>in order</strong>.</p>\n\n<p><strong>Note: </strong>Conversion rates are valid, and there will be no contradictions in the rates for either day. The rates for the days are independent of each other.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">initialCurrency = &quot;EUR&quot;, pairs1 = [[&quot;EUR&quot;,&quot;USD&quot;],[&quot;USD&quot;,&quot;JPY&quot;]], rates1 = [2.0,3.0], pairs2 = [[&quot;JPY&quot;,&quot;USD&quot;],[&quot;USD&quot;,&quot;CHF&quot;],[&quot;CHF&quot;,&quot;EUR&quot;]], rates2 = [4.0,5.0,6.0]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">720.00000</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>To get the maximum amount of <strong>EUR</strong>, starting with 1.0 <strong>EUR</strong>:</p>\n\n<ul>\n\t<li>On Day 1:\n\t<ul>\n\t\t<li>Convert <strong>EUR </strong>to <strong>USD</strong> to get 2.0 <strong>USD</strong>.</li>\n\t\t<li>Convert <strong>USD</strong> to <strong>JPY</strong> to get 6.0 <strong>JPY</strong>.</li>\n\t</ul>\n\t</li>\n\t<li>On Day 2:\n\t<ul>\n\t\t<li>Convert <strong>JPY</strong> to <strong>USD</strong> to get 24.0 <strong>USD</strong>.</li>\n\t\t<li>Convert <strong>USD</strong> to <strong>CHF</strong> to get 120.0 <strong>CHF</strong>.</li>\n\t\t<li>Finally, convert <strong>CHF</strong> to <strong>EUR</strong> to get 720.0 <strong>EUR</strong>.</li>\n\t</ul>\n\t</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">initialCurrency = &quot;NGN&quot;, pairs1 = </span>[[&quot;NGN&quot;,&quot;EUR&quot;]]<span class=\"example-io\">, rates1 = </span>[9.0]<span class=\"example-io\">, pairs2 = </span>[[&quot;NGN&quot;,&quot;EUR&quot;]]<span class=\"example-io\">, rates2 = </span>[6.0]</p>\n\n<p><strong>Output:</strong> 1.50000</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Converting <strong>NGN</strong> to <strong>EUR</strong> on day 1 and <strong>EUR</strong> to <strong>NGN</strong> using the inverse rate on day 2 gives the maximum amount.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">initialCurrency = &quot;USD&quot;, pairs1 = [[&quot;USD&quot;,&quot;EUR&quot;]], rates1 = [1.0], pairs2 = [[&quot;EUR&quot;,&quot;JPY&quot;]], rates2 = [10.0]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1.00000</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>In this example, there is no need to make any conversions on either day.</p>\n</div
"translatedTitle": null,
"translatedContent": null,
"isPaidOnly": false,
"difficulty": "Medium",
"likes": 67,
"dislikes": 25,
"isLiked": null,
"similarQuestions": "[{\"title\": \"Evaluate Division\", \"titleSlug\": \"evaluate-division\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]",
"exampleTestcases": "\"EUR\"\n[[\"EUR\",\"USD\"],[\"USD\",\"JPY\"]]\n[2.0,3.0]\n[[\"JPY\",\"USD\"],[\"USD\",\"CHF\"],[\"CHF\",\"EUR\"]]\n[4.0,5.0,6.0]\n\"NGN\"\n[[\"NGN\",\"EUR\"]]\n[9.0]\n[[\"NGN\",\"EUR\"]]\n[6.0]\n\"USD\"\n[[\"USD\",\"EUR\"]]\n[1.0]\n[[\"EUR\",\"JPY\"]]\n[10.0]",
"categoryTitle": "Algorithms",
"contributors": [],
"topicTags": [
{
"name": "Array",
"slug": "array",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "String",
"slug": "string",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Depth-First Search",
"slug": "depth-first-search",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Breadth-First Search",
"slug": "breadth-first-search",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Graph",
"slug": "graph",
"translatedName": null,
"__typename": "TopicTagNode"
}
],
"companyTagStats": null,
"codeSnippets": [
{
"lang": "C++",
"langSlug": "cpp",
"code": "class Solution {\npublic:\n double maxAmount(string initialCurrency, vector<vector<string>>& pairs1, vector<double>& rates1, vector<vector<string>>& pairs2, vector<double>& rates2) {\n \n }\n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "Java",
"langSlug": "java",
"code": "class Solution {\n public double maxAmount(String initialCurrency, List<List<String>> pairs1, double[] rates1, List<List<String>> pairs2, double[] rates2) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Python",
"langSlug": "python",
"code": "class Solution(object):\n def maxAmount(self, initialCurrency, pairs1, rates1, pairs2, rates2):\n \"\"\"\n :type initialCurrency: str\n :type pairs1: List[List[str]]\n :type rates1: List[float]\n :type pairs2: List[List[str]]\n :type rates2: List[float]\n :rtype: float\n \"\"\"\n ",
"__typename": "CodeSnippetNode"
},
{
"lang": "Python3",
"langSlug": "python3",
"code": "class Solution:\n def maxAmount(self, initialCurrency: str, pairs1: List[List[str]], rates1: List[float], pairs2: List[List[str]], rates2: List[float]) -> float:\n ",
"__typename": "CodeSnippetNode"
},
{
"lang": "C",
"langSlug": "c",
"code": "double maxAmount(char* initialCurrency, char*** pairs1, int pairs1Size, int* pairs1ColSize, double* rates1, int rates1Size, char*** pairs2, int pairs2Size, int* pairs2ColSize, double* rates2, int rates2Size) {\n \n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "C#",
"langSlug": "csharp",
"code": "public class Solution {\n public double MaxAmount(string initialCurrency, IList<IList<string>> pairs1, double[] rates1, IList<IList<string>> pairs2, double[] rates2) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "JavaScript",
"langSlug": "javascript",
"code": "/**\n * @param {string} initialCurrency\n * @param {string[][]} pairs1\n * @param {number[]} rates1\n * @param {string[][]} pairs2\n * @param {number[]} rates2\n * @return {number}\n */\nvar maxAmount = function(initialCurrency, pairs1, rates1, pairs2, rates2) {\n \n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "TypeScript",
"langSlug": "typescript",
"code": "function maxAmount(initialCurrency: string, pairs1: string[][], rates1: number[], pairs2: string[][], rates2: number[]): number {\n \n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "PHP",
"langSlug": "php",
"code": "class Solution {\n\n /**\n * @param String $initialCurrency\n * @param String[][] $pairs1\n * @param Float[] $rates1\n * @param String[][] $pairs2\n * @param Float[] $rates2\n * @return Float\n */\n function maxAmount($initialCurrency, $pairs1, $rates1, $pairs2, $rates2) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Swift",
"langSlug": "swift",
"code": "class Solution {\n func maxAmount(_ initialCurrency: String, _ pairs1: [[String]], _ rates1: [Double], _ pairs2: [[String]], _ rates2: [Double]) -> Double {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Kotlin",
"langSlug": "kotlin",
"code": "class Solution {\n fun maxAmount(initialCurrency: String, pairs1: List<List<String>>, rates1: DoubleArray, pairs2: List<List<String>>, rates2: DoubleArray): Double {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Dart",
"langSlug": "dart",
"code": "class Solution {\n double maxAmount(String initialCurrency, List<List<String>> pairs1, List<double> rates1, List<List<String>> pairs2, List<double> rates2) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Go",
"langSlug": "golang",
"code": "func maxAmount(initialCurrency string, pairs1 [][]string, rates1 []float64, pairs2 [][]string, rates2 []float64) float64 {\n \n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Ruby",
"langSlug": "ruby",
"code": "# @param {String} initial_currency\n# @param {String[][]} pairs1\n# @param {Float[]} rates1\n# @param {String[][]} pairs2\n# @param {Float[]} rates2\n# @return {Float}\ndef max_amount(initial_currency, pairs1, rates1, pairs2, rates2)\n \nend",
"__typename": "CodeSnippetNode"
},
{
"lang": "Scala",
"langSlug": "scala",
"code": "object Solution {\n def maxAmount(initialCurrency: String, pairs1: List[List[String]], rates1: Array[Double], pairs2: List[List[String]], rates2: Array[Double]): Double = {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Rust",
"langSlug": "rust",
"code": "impl Solution {\n pub fn max_amount(initial_currency: String, pairs1: Vec<Vec<String>>, rates1: Vec<f64>, pairs2: Vec<Vec<String>>, rates2: Vec<f64>) -> f64 {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Racket",
"langSlug": "racket",
"code": "(define/contract (max-amount initialCurrency pairs1 rates1 pairs2 rates2)\n (-> string? (listof (listof string?)) (listof flonum?) (listof (listof string?)) (listof flonum?) flonum?)\n )",
"__typename": "CodeSnippetNode"
},
{
"lang": "Erlang",
"langSlug": "erlang",
"code": "-spec max_amount(InitialCurrency :: unicode:unicode_binary(), Pairs1 :: [[unicode:unicode_binary()]], Rates1 :: [float()], Pairs2 :: [[unicode:unicode_binary()]], Rates2 :: [float()]) -> float().\nmax_amount(InitialCurrency, Pairs1, Rates1, Pairs2, Rates2) ->\n .",
"__typename": "CodeSnippetNode"
},
{
"lang": "Elixir",
"langSlug": "elixir",
"code": "defmodule Solution do\n @spec max_amount(initial_currency :: String.t, pairs1 :: [[String.t]], rates1 :: [float], pairs2 :: [[String.t]], rates2 :: [float]) :: float\n def max_amount(initial_currency, pairs1, rates1, pairs2, rates2) do\n \n end\nend",
"__typename": "CodeSnippetNode"
}
],
"stats": "{\"totalAccepted\": \"8.8K\", \"totalSubmission\": \"15.7K\", \"totalAcceptedRaw\": 8784, \"totalSubmissionRaw\": 15694, \"acRate\": \"56.0%\"}",
"hints": [
"Choose an intermediate currency. Convert from <code>initialCurrency</code> to this currency on day 1, and from that currency back to <code>initialCurrency</code> on day 2.",
"Use a DFS/BFS to calculate the direct conversion rate between any two currencies."
],
"solution": null,
"status": null,
"sampleTestCase": "\"EUR\"\n[[\"EUR\",\"USD\"],[\"USD\",\"JPY\"]]\n[2.0,3.0]\n[[\"JPY\",\"USD\"],[\"USD\",\"CHF\"],[\"CHF\",\"EUR\"]]\n[4.0,5.0,6.0]",
"metaData": "{\n \"name\": \"maxAmount\",\n \"params\": [\n {\n \"name\": \"initialCurrency\",\n \"type\": \"string\"\n },\n {\n \"type\": \"list<list<string>>\",\n \"name\": \"pairs1\"\n },\n {\n \"type\": \"double[]\",\n \"name\": \"rates1\"\n },\n {\n \"type\": \"list<list<string>>\",\n \"name\": \"pairs2\"\n },\n {\n \"type\": \"double[]\",\n \"name\": \"rates2\"\n }\n ],\n \"return\": {\n \"type\": \"double\"\n }\n}",
"judgerAvailable": true,
"judgeType": "large",
"mysqlSchemas": [],
"enableRunCode": true,
"enableTestMode": false,
"enableDebugger": true,
"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 19 </code> using the latest C++ 23 standard, and <code>libstdc++</code> provided by GCC 14.</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 2.7.18</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\\\">is not maintained anymore</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 14</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 20.10.0</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 5.4.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/blob/v5/README.md\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.3 version of <a href=\\\"https:
"libraryUrl": null,
"adminUrl": null,
"challengeQuestion": null,
"__typename": "QuestionNode"
}
}
}