Fibonacci
The first two numbers in the Fibonacci sequence are 1 and 1. Every additional number in the sequence is the sum of the two previous numbers. The first six numbers of the Fibonacci sequence are 1, 1, 2, 3, 5 and 8.
Source:https://www.freecodecamp.com/challenges/sum-all-odd-fibonacci-numbers
Check for the fibonacci number
Write a getFib function that takes a number n as a parameter and returns the nth Fibonacci number. If n is zero, zero should be returned.
Sample Input and Output
Input: 4 Output: 3
Optimization
Try solving the problem using memoization and tabulation.
See:
https://www.rithmschool.com/courses/javascript-computer-science-fundamentals/dynamic-programming,
https://indrabasak.wordpress.com/2016/04/03/exploring-fibonacci/
How much faster was the problem solved? How can you account for this in terms of time complexity? How about matrix exponentiation and fast doubling?
See:
https://www.nayuki.io/page/fast-fibonacci-algorithms
