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Grokking the Coding Interview Patterns in Python

Solution: Burst Balloons

Discover how to solve the Burst Balloons problem with dynamic programming by reversing the approach to bursting balloons last in given intervals. Explore building a 2D DP table to find the maximum coins possible, and understand the time and space complexities involved in this optimization problem.

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Statement

You are given nn balloons, numbered from 00 to n−1n - 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 i−1i - 1 or i+1i + 1 ...