(NFA DFA) I like the numbers 6, 7, 8, 9 to consecutively appear in a string (even though 6 is afraid of 7 because 7 8 9). Also, these 4 numbers like pairing with each other (in increasing order) in all (4 2) = 6 ways. In base 4, these numbers are 12, 13, 20, and 21. So, consider the following language: L = {omega elementof {0, 1, 2, 3}*: omega has 1213, 1220, 1221, 1320, 1321, or 2021 as a substring}. First construct an NFA for L. Using the techniques described in class, construct an equivalent DFA for L from your NFA. Explain your method in how you constructed the DFA in English as well