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Grokking the Coding Interview Patterns in C#

Solution: Fibonacci Number

Explore how to calculate Fibonacci numbers by leveraging mathematical properties like the golden ratio and Binet's formula. Understand the optimization from recursive to logarithmic time solutions, gaining skills valuable for coding interviews focused on math and geometry 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

Your task is to compute the value of F(n)F(n) for a given integer n.

Constraints:

  • ...