LeetCode 312: Burst Balloons — Step-by-Step Visual Trace

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Learn to solve the LeetCode 312 Burst Balloons problem using dynamic programming to maximize coin collection

intermediate Published 9 Apr 2026

Action Steps

Read the problem statement carefully and understand the rules for bursting balloons and collecting coins
Define a dynamic programming approach to solve the problem by breaking it down into smaller subproblems
Initialize a 2D array to store the maximum coins that can be collected for each subproblem
Fill the 2D array using a bottom-up dynamic programming approach
Apply the dynamic programming formula to calculate the maximum coins for each subproblem
Test the solution with sample inputs to verify its correctness

Who Needs to Know This

This problem benefits software engineers and algorithm enthusiasts who want to improve their dynamic programming skills and problem-solving abilities

Key Insight

💡 Use dynamic programming to break down the problem into smaller subproblems and calculate the maximum coins that can be collected

Key Takeaways

Learn to solve the LeetCode 312 Burst Balloons problem using dynamic programming to maximize coin collection

Full Article

Given an array of balloons with coin values, find the maximum coins you can collect by bursting all balloons, where bursting a balloon gives coins equal to the product of its value and its adjacent neighbors'' values.

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