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Solution: Burst Balloons

Explore how to solve the Burst Balloons problem by applying interval dynamic programming techniques. This lesson guides you to understand the problem's structure, use memoization and tabulation, and compute the maximum coins obtainable by bursting balloons in the optimal order. You will learn to break down the problem into subproblems and implement a solution with O(n³) time and O(n²) space complexity.

Statement

You are given nn balloons, numbered from 00 to n1n - 1. Each balloon has a number painted on it, represented by an integer array nums.

When you burst a balloon ii, you earn coins equal to nums[i - 1] * nums[i] * nums[i + 1].
If either i1i - 1 or i+1i + 1 ...