Implementing a Dynamic Programming Solution for Coin Change solution in Python: working with Index Errors
I've been struggling with this for a few days now and could really use some help. I've tried everything I can think of but After trying multiple solutions online, I still can't figure this out. I'm working on solving the Coin Change question using dynamic programming in Python, but I'm running into index errors when trying to fill my DP table. The goal is to determine the minimum number of coins needed to make a given amount from a set of denominations. My input is a list of coin denominations and a target amount. Here’s a simplified version of what I’ve implemented so far: ```python def coin_change(coins, amount): dp = [float('inf')] * (amount + 1) dp[0] = 0 # base case: 0 coins needed to make amount 0 for coin in coins: for x in range(coin, amount + 1): dp[x] = min(dp[x], dp[x - coin] + 1) return dp[amount] if dp[amount] != float('inf') else -1 ``` I’m testing it with the following input: ```python coins = [1, 2, 5] amount = 11 print(coin_change(coins, amount)) # Expected output: 3 ``` However, I’m getting the following behavior message: ``` IndexError: list assignment index out of range ``` I’ve double-checked the indices in my loops, but I can’t seem to find where it’s going wrong. I suspect it might be related to how I'm initializing the `dp` array or the ranges I'm using in the nested loops. Could anyone guide to debug this? Are there any edge cases I should be considering, especially for larger amounts or combinations of coin values that could lead to index issues? What are your experiences with this? Thanks, I really appreciate it! This is part of a larger mobile app I'm building. Thanks for any help you can provide!