Introduction to Dynamic Programming
Introduction to DP DSA practice problem on Onlearn.
Difficulty: medium.
Topics: Introduction to Dynamic Programming: Concepts, Approaches, and Optimizing Fibonacci Computation, Dynamic Programming, Memoization, Tabulation, Recursion, Fibonacci Series, Time Complexity, Space Complexity, Optimization, space complexity, dynamic programming, memoization, tabulation, space optimization, recursion, time complexity analysis, DP Techniques (Memoization & Tabulation).
Find the N th Fibonacci Number Problem Statement The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. Mathematically, it is defined by the recurrence relation: F(n) = F(n 1) + F(n 2) with base cases: F(0) = 0 F(1) = 1 Given a non negative integer n, find and return the n th Fibonacci number based on a 0 based index. Input Specification The input will be a single integer n. Output Specification Return the n th Fibonacci number. Constraints 0 <= n <= 45 (The output for n=45 fits within a standard 32 bit integer type. For larger n, a 64 bit integer type would be required, but for this problem, we consider n values that fit in int.) Sample Test Case Input: Output: