Get the latest tech news

Dynamic programming bursting balloons

Let’s use an example of a dynamic programming problem to illustrate the concept. I didn’t choose an easy example, since it would fit more in the 2D Dynamic Programming category.

This problem cannot be solved using a greedy approach, as the optimal solution requires considering all possible orders of bursting balloons. To identify the sub-problems in dynamic programming, we need to find a way to break down the original problem into smaller, self-contained pieces that can be solved independently. The algorithm works by iterating through all possible arrays and calculating the maximum coins obtainable for each subarray using the transition function defined earlier.

Get the Android app