The Coin Change Problem | Dynamic Programming vs. Greedy Approach

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Greedy fails. DP wins. Here's why.

Lecture link: https://www.youtube.com/watch?v=Xu5iBfS0M6I

In this video, we solve the Coin Change Problem — one of the most important problems in computer science. We first show how the greedy approach (always pick the biggest coin) gives the WRONG answer, then build the Dynamic Programming solution step by step from scratch. 📌 What you'll learn: → Why greedy breaks on certain coin sets → The DP recurrence: dp[i] = min(dp[i], dp[i - coin] + 1) → How to fill the DP table manually, one cell at a time → Time & space complexity analysis 🔔 Subscribe to follow the full Optimization Problems series! #dynamicprogramming #CoinChange #algorithms #problemsolving #codinginterview #computerscience #programming #greedyalgorithm #leetcode

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