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  3. please answer both itll really be helpful thanks a...

Question: please answer both itll really be helpful thanks a...

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5. (15 points) Graphs: Is the statement For every natural number n 2 1 there exists a directed graph of n vertices for which every vertex has an indegree equal to its outdegree TRUE or FALSE? (15 points) Strings and Languages: For alphabet Σ = {a,b,e), suppose z E Σ. and Ir|-5. Give a string a that is a substring of z and has the following property: 6, Among all substrings of z, a is both a prefix of a and a suffix of a, and is the longest substring of z. Please answer both it’ll really be helpful . Thanks a lot .
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