{ "data": { "question": { "questionId": "3613", "questionFrontendId": "3387", "categoryTitle": "Algorithms", "boundTopicId": 3019823, "title": "Maximize Amount After Two Days of Conversions", "titleSlug": "maximize-amount-after-two-days-of-conversions", "content": "

You are given a string initialCurrency, and you start with 1.0 of initialCurrency.

\n\n

You are also given four arrays with currency pairs (strings) and rates (real numbers):

\n\n\n\n

You can perform any number of conversions, including zero, using rates1 on day 1, followed by any number of additional conversions, including zero, using rates2 on day 2.

\n\n

Return the maximum amount of initialCurrency you can have after performing any number of conversions on both days in order.

\n\n

Note: 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.

\n\n

 

\n

Example 1:

\n\n
\n

Input: initialCurrency = "EUR", pairs1 = [["EUR","USD"],["USD","JPY"]], rates1 = [2.0,3.0], pairs2 = [["JPY","USD"],["USD","CHF"],["CHF","EUR"]], rates2 = [4.0,5.0,6.0]

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Output: 720.00000

\n\n

Explanation:

\n\n

To get the maximum amount of EUR, starting with 1.0 EUR:

\n\n\n
\n\n

Example 2:

\n\n
\n

Input: initialCurrency = "NGN", pairs1 = [["NGN","EUR"]], rates1 = [9.0], pairs2 = [["NGN","EUR"]], rates2 = [6.0]

\n\n

Output: 1.50000

\n\n

Explanation:

\n\n

Converting NGN to EUR on day 1 and EUR to NGN using the inverse rate on day 2 gives the maximum amount.

\n
\n\n

Example 3:

\n\n
\n

Input: initialCurrency = "USD", pairs1 = [["USD","EUR"]], rates1 = [1.0], pairs2 = [["EUR","JPY"]], rates2 = [10.0]

\n\n

Output: 1.00000

\n\n

Explanation:

\n\n

In this example, there is no need to make any conversions on either day.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "两天自由外汇交易后的最大货币数", "translatedContent": "

给你一个字符串 initialCurrency，表示初始货币类型，并且你一开始拥有 1.0 单位的 initialCurrency。

\n\n

另给你四个数组，分别表示货币对（字符串）和汇率（实数）：

\n\n\n\n

你可以在 第 1 天 使用 rates1 进行任意次数的兑换（包括 0 次），然后在 第 2 天 使用 rates2 再进行任意次数的兑换（包括 0 次）。

\n\n

返回在两天兑换后，最大可能拥有的 initialCurrency 的数量。

\n\n

注意：汇率是有效的，并且第 1 天和第 2 天的汇率之间相互独立，不会产生矛盾。

\n\n

 

\n\n

示例 1：

\n\n
\n

输入： initialCurrency = \"EUR\", pairs1 = [[\"EUR\",\"USD\"],[\"USD\",\"JPY\"]], rates1 = [2.0,3.0], pairs2 = [[\"JPY\",\"USD\"],[\"USD\",\"CHF\"],[\"CHF\",\"EUR\"]], rates2 = [4.0,5.0,6.0]

\n\n

输出： 720.00000

\n\n

解释：

\n\n

根据题目要求，需要最大化最终的 EUR 数量，从 1.0 EUR 开始：

\n\n\n
\n\n

示例 2：

\n\n
\n

输入： initialCurrency = \"NGN\", pairs1 = [[\"NGN\",\"EUR\"]], rates1 = [9.0], pairs2 = [[\"NGN\",\"EUR\"]], rates2 = [6.0]

\n\n

输出： 1.50000

\n\n

解释：

\n\n

在第 1 天将 NGN 换成 EUR，并在第 2 天用反向汇率将 EUR 换回 NGN，可以最大化最终的 NGN 数量。

\n
\n\n

示例 3：

\n\n
\n

输入： initialCurrency = \"USD\", pairs1 = [[\"USD\",\"EUR\"]], rates1 = [1.0], pairs2 = [[\"EUR\",\"JPY\"]], rates2 = [10.0]

\n\n

输出： 1.00000

\n\n

解释：

\n\n

在这个例子中，不需要在任何一天进行任何兑换。

\n
\n\n

 

\n\n

提示：

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"translatedName": "深度优先搜索", "__typename": "TopicTagNode" }, { "name": "Breadth-First Search", "slug": "breadth-first-search", "translatedName": "广度优先搜索", "__typename": "TopicTagNode" }, { "name": "Graph", "slug": "graph", "translatedName": "图", "__typename": "TopicTagNode" }, { "name": "Array", "slug": "array", "translatedName": "数组", "__typename": "TopicTagNode" }, { "name": "String", "slug": "string", "translatedName": "字符串", "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n double maxAmount(string initialCurrency, vector>& pairs1, vector& rates1, vector>& pairs2, vector& rates2) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public double maxAmount(String initialCurrency, List> pairs1, double[] rates1, List> 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> pairs1, double[] rates1, IList> 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>, rates1: DoubleArray, pairs2: List>, rates2: DoubleArray): Double {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n double maxAmount(String initialCurrency, List> pairs1, List rates1, List> pairs2, List 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>, rates1: Vec, pairs2: Vec>, rates2: Vec) -> 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?)) 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Convert from initialCurrency to this currency on day 1, and from that currency back to initialCurrency 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>\",\n \"name\": \"pairs1\"\n },\n {\n \"type\": \"double[]\",\n \"name\": \"rates1\"\n },\n {\n \"type\": \"list>\",\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, "envInfo": "{\"cpp\":[\"C++\",\"

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