Solution: N-th Tribonacci Number

Explore how to calculate the N-th Tribonacci number using dynamic programming techniques to optimize time complexity to O(n) and space complexity to O(1). Learn to implement a solution that stores and reuses previous results, improving over naive recursion methods.

We'll cover the following...

Statement
Solution
- Naive approach
- Optimized approach using dynamic programming

Statement

Given a number n, calculate the corresponding Tribonacci number. The Tribonacci sequence $T_n$ is defined as:

$T_0 = 0,\space T_1 = 1,\space T_2 = 1$

...