Let = {a,b,c} and L= {a,b,c} U{x 9* | * contains "cc"}: 1. [7 points] Construct an NFA that accepts L. 2. [8 points) Construct the equivalent DFA using the subset construc- tion. 3. [5 points] Is the constructed DFA minimal? If not, construct the equivalent minimal DFA. Present your FAs using transition diagrams