Question: 1. (7 points) Construct a DFA with at most 10 states that accepts the set of all strings over the alphabet S = {0, 1,

1. (7 points) Construct a DFA with at most 10 states

1. (7 points) Construct a DFA with at most 10 states that accepts the set of all strings over the alphabet S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} that are over 9000 (!!!) when interpreted as base 10 numbers. Note that the only string starting with 0 that represents a valid integer is 0. Specifically, 0999999999 should not be accepted because it starts with 0

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