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Grokking the Coding Interview Patterns in C#

Solution: Burst Balloons

Explore the dynamic programming approach to solving the Burst Balloons problem. Understand how reversing the problem perspective and decomposing it into subproblems allows you to calculate the maximum coins obtained by optimally bursting balloons. Learn to implement a 2D DP solution that efficiently handles interval ranges and manages complexity effectively.

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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 ...