That is conceptually how dynamic programming works, but in practice the way you build the cache is from the bottom up rather than from the top down. It's a bit like how you can implement computation of the Fibonacci sequence in a top-down manner using a recursive function with caching, but it is a lot more efficient to instead build it in a bottom-up manner.
That is conceptually how dynamic programming works, but in practice the way you build the cache is from the bottom up rather than from the top down. It's a bit like how you can implement computation of the Fibonacci sequence in a top-down manner using a recursive function with caching, but it is a lot more efficient to instead build it in a bottom-up manner.