Changing Money Using Dynamic Programming
Explore the dynamic programming approach to solve the minimum coin change problem efficiently. Understand how computing solutions incrementally avoids redundant calculations in recursive calls, improving runtime. Gain insights into optimizing algorithms for large inputs and modifying dynamic programming to also return coin combinations used.
We'll cover the following...
We'll cover the following...
To avoid the many recursive calls that are needed to compute MinNumCoins(money), we’ll use a dynamic programming strategy. Wouldn’t it be nice to know all the values of MinNumCoins(money − coin) by the time we compute MinNumCoins(money)? Instead of the time-consuming calls to RecursiveChange(money − coin ...