Split a string to a string of valid words using Dynamic Programming

Question

I need to find a dynamic programming algorithm to solve this problem. I tried but couldn\'t figure it out. Here is the problem:

You are given a string of n character

Answer 1

The O(N^2) Dp is clear but if you know the words of the dictionary, i think you can use some precomputations to get it even faster in O(N). Aho-Corasick