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Convert the Temperature

Convert the given Celsius temperature to Kelvin and Fahrenheit using mathematical formulas and return the result in an array.

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Easy · Math-driven solution strategy

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Answer-first summary

Convert the given Celsius temperature to Kelvin and Fahrenheit using mathematical formulas and return the result in an array.

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This problem requires converting a Celsius temperature to Kelvin and Fahrenheit using basic formulas. The task tests the ability to implement mathematical operations and return precise results. The solution involves applying the formulas to the given Celsius value and returning the converted values in an array.

Problem Statement

You are given a temperature in Celsius, a non-negative floating point number rounded to two decimal places. You are tasked with converting the given Celsius temperature into its Kelvin and Fahrenheit equivalents and returning them in an array. The answer should be correct within an absolute error of 10-5.

The conversion formulas for Celsius to Kelvin and Celsius to Fahrenheit are straightforward: Kelvin = Celsius + 273.15 and Fahrenheit = Celsius * 9/5 + 32. Implement these formulas directly to get the correct answers.

Examples

Example 1

Input: celsius = 36.50

Output: [309.65000,97.70000]

Temperature at 36.50 Celsius converted in Kelvin is 309.65 and converted in Fahrenheit is 97.70.

Example 2

Input: celsius = 122.11

Output: [395.26000,251.79800]

Temperature at 122.11 Celsius converted in Kelvin is 395.26 and converted in Fahrenheit is 251.798.

Constraints

  • 0 <= celsius <= 1000

Solution Approach

Understanding the Conversion Formulas

To solve this problem, start by understanding the basic formulas: Kelvin = Celsius + 273.15, Fahrenheit = Celsius * 9/5 + 32. These formulas are simple to implement and provide the necessary conversions for the given input.

Performing the Conversions

For each input Celsius value, apply the conversion formulas to compute the corresponding Kelvin and Fahrenheit temperatures. Ensure that the result is accurate within 10-5 of the correct values.

Returning the Result

Once you have the Kelvin and Fahrenheit values, return them as an array. The output should contain these values with precision up to 5 decimal places as required by the problem.

Complexity Analysis

Metric Value
Time Depends on the final approach
Space Depends on the final approach

The time complexity for this problem is O(1) as the computation involves basic arithmetic operations with constant time complexity. The space complexity is also O(1) as only a few variables are used to store the results.

What Interviewers Usually Probe

  • Candidate should demonstrate understanding of mathematical conversions.
  • Look for clear implementation of formulas without unnecessary complexity.
  • Ensure the candidate handles precision correctly when returning the results.

Common Pitfalls or Variants

Common pitfalls

  • Not applying the correct formulas for Kelvin and Fahrenheit conversion.
  • Failing to round the output to 5 decimal places as specified in the problem statement.
  • Incorrectly handling edge cases, like 0 Celsius or extreme values close to the upper constraint.

Follow-up variants

  • Extend the problem to accept negative Celsius values.
  • Add a conversion for additional temperature scales, like Rankine or Delisle.
  • Introduce a requirement for an array of Celsius values and return a corresponding array of Kelvin and Fahrenheit values.

FAQ

What is the correct formula to convert Celsius to Kelvin and Fahrenheit?

The correct formulas are Kelvin = Celsius + 273.15 and Fahrenheit = Celsius * 9/5 + 32.

What is the precision requirement for this problem?

The result should be accurate within an absolute error of 10-5.

How should the output be formatted?

The output should be an array containing two values: the Kelvin and Fahrenheit conversions, rounded to five decimal places.

What is the expected time and space complexity for this problem?

Both the time and space complexity are O(1) since the solution involves simple arithmetic operations and constant space usage.

How does GhostInterview assist with solving this problem?

GhostInterview helps you focus on the necessary math and ensures you apply the conversion formulas correctly. It also clarifies how to handle output precision and array formatting.

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Solution

Solution 1: Simulation

We can directly simulate according to the problem description.

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class Solution:
    def convertTemperature(self, celsius: float) -> List[float]:
        return [celsius + 273.15, celsius * 1.8 + 32]
Convert the Temperature Solution: Math-driven solution strategy | LeetCode #2469 Easy