Question: Problem 3. (10 points) Show: for any n, there is a directed graph with n nodes, n(n-1)/2 edges, and no directed cycles (if you're stumped:

Problem 3. (10 points) Show: for any n, there is a directed graph with n nodes, n(n-1)/2 edges, and no directed cycles (if you're stumped: for partial credit show that it is true for small values of n)
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