Question: Problem 1 (15 points): Give a deterministic finite automata (DFA) that accepts the following language L over the alphabet = {0, 1): { u, *

Problem 1 (15 points): Give a deterministic finite automata (DFA) that

Problem 1 (15 points): Give a deterministic finite automata (DFA) that accepts the following language L over the alphabet = {0, 1): { u, * | w has an equal number of 0's and i 's such that each prefix of has at most one more 1 than 0's and at most one more 0 than1's For example: The DFA accepts 0110, 01011001 and e. The DFA does not accept 0011 and 011011. Provide a brief explanation as to why your DFA is correct

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