Multi-Language (Coding): Fibonacci Series Using DP Test

You are required to write a program using Dynamic programming to implement the Fibonacci series.

Available in

  • English

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1 Skills measured

  • Dynamic programming

Test Type

Coding Test

Duration

30 mins

Level

Intermediate

Questions

1

Use of Multi-Language (Coding): Fibonacci Series Using DP Test

The Fibonacci series is a sequence of numbers in which each number is the sum of the two preceding ones, starting from 0 and 1. The series goes as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... and so on. In the case of Fibonacci series, the dynamic programming approach involves creating an array to store the solutions to subproblems, so that the same subproblem isn't solved multiple times. The array is filled in a bottom-up manner, starting from the base case (i.e., the first two numbers in the series) and working up to the nth number in the series. The nth number in the series is calculated by adding the (n-1)th and (n-2)th numbers in the series, which have already been computed and stored in the array.

Skills measured

Dynamic programming is a powerful technique that involves breaking down a complex problem into smaller subproblems and solving each subproblem only once, storing the results for future reference. In the case of the Fibonacci series, dynamic programming can be used to efficiently calculate the nth Fibonacci number by storing previously computed values in a table and reusing them to avoid redundant calculations. This approach significantly reduces the time complexity of calculating Fibonacci numbers, making it a crucial skill for optimizing the performance of algorithms that involve recursive calculations.

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