(1) Explain why a graph contains no cycles if and only if DFS yields no back edges. Use the definition of back edges given in the project description. You need not give a formal proof, just a good, intuitive argument in words. (2) The algorithm given in the project description for finding strongly connected components seems to have nothing to do with SCCs. Provide some intuitive justification for why it works. Again, a formal proof is not required. A cogent argument is.