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HomeLeetCode ProblemsMaximize Amount After Two Days of Conversions
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How to Solve Maximize Amount After Two Days of Conversions Problem

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Medium#3387
LeetCode Problem

Maximize Amount After Two Days of Conversions

You are given a string initialCurrency, and you start with 1.0 of initialCurrency. You are also given four arrays with currency pairs (strings) and rates (real numbers): 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. Return the maximum amount of initialCurrency you can have after performing any number of conversions on both days in order. 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.

ArrayStringDepth-First SearchBreadth-First SearchGraph

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Problem Breakdown

Understanding the Maximize Amount After Two Days of Conversions Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given a string initialCurrency, and you start with 1.0 of initialCurrency. You are also given four arrays with currency pairs (strings) and rates (real numbers): 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. Return the maximum amount of initialCurrency you can have after performing any number of conversions on both days in order. 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.

MediumProblem #3387
LeetCode

Maximize Amount After Two Days of Conversions

Related Topics

ArrayStringDepth-First SearchBreadth-First SearchGraph

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Examples

# Example 1

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]
Output
720.00000

# Example 2

Input
initialCurrency = "NGN", pairs1 = [["NGN","EUR"]] , rates1 = [9.0] , pairs2 = [["NGN","EUR"]] , rates2 = [6.0]
Output
1.50000

# Example 3

Input
initialCurrency = "USD", pairs1 = [["USD","EUR"]], rates1 = [1.0], pairs2 = [["EUR","JPY"]], rates2 = [10.0]
Output
1.00000

Constraints

1 <= initialCurrency.length <= 3
initialCurrency consists only of uppercase English letters.
1 <= n == pairs1.length <= 10
1 <= m == pairs2.length <= 10
pairs1[i] == [startCurrencyi, targetCurrencyi]
pairs2[i] == [startCurrencyi, targetCurrencyi]
1 <= startCurrencyi.length, targetCurrencyi.length <= 3
startCurrencyi and targetCurrencyi consist only of uppercase English letters.
rates1.length == n
rates2.length == m
1.0 <= rates1[i], rates2[i] <= 10.0
The input is generated such that there are no contradictions or cycles in the conversion graphs for either day.
The input is generated such that the output is at most 5 * 1010.

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Solve Maximize Amount After Two Days of Conversions — You are given a string initialCurrency, and you start with 1.0 of initialCurrenc...

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