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Grokking the Coding Interview Patterns in JavaScript

Solution: Fibonacci Number

Explore an optimized approach to calculate the Fibonacci number for any given integer using mathematical insights such as the golden ratio and Binet’s formula. This lesson helps you understand how to implement a fast logarithmic time solution with constant space, improving upon naive recursive and dynamic programming methods for interview coding challenges.

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Statement

The Fibonacci sequence is a famous series of numbers in which each value is created by adding the two preceding numbers. The sequence begins with:

  • F(0)=0F(0) = 0

  • F(1)=1F(1) = 1

From that point on, every term is defined as:

  • F(n)=F(n−1)+F(n−2)F(n) = F(n - 1) + F(n - 2), for any nn greater than 11 ...