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How to implement Fibonacci using bottom-up approach using C#?
The Fibonacci sequence is a set of numbers that starts with a one or a zero, followed by a one, and proceeds based on the rule that each number (called a Fibonacci number) is equal to the sum of the preceding two numbers. The bottom-up approach first focuses on solving the smaller problems at the fundamental level and then integrating them into a whole and complete solution.
Time complexity − O(N)
Space complexity − O(N)
Example
public class DynamicProgramming{ public int fibonacciBottomupApproach(int n){ int[] dpArr = new int[150]; dpArr[1] = 1; for (int i = 2; i <= n; i++){ dpArr[i] = dpArr[i - 1] + dpArr[i - 2]; } return dpArr[n]; } } static void Main(string[] args){ DynamicProgramming dp = new DynamicProgramming(); Console.WriteLine(dp.fibonacciBottomupApproach(5)); }
Output
5
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