Dynamic Programming Questions Medium
The time complexity of the Dynamic Programming approach for solving the Fibonacci sequence problem is O(n).
In the traditional recursive approach, the Fibonacci sequence problem has an exponential time complexity of O(2^n) due to the overlapping subproblems. However, by using Dynamic Programming, we can optimize the solution by storing the results of subproblems in an array or table. This way, we can avoid redundant calculations and reduce the time complexity to linear, O(n).
The Dynamic Programming approach for the Fibonacci sequence problem involves iterating from 0 to n and calculating the Fibonacci numbers iteratively, using the previously calculated values. By storing the results in an array or table, we can access the precalculated values in constant time, resulting in a linear time complexity.