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1. What is the stable marriage problem? Prove that the Gale Shapley Algorithm returns a stable matching. 2. What is a DAG and what is

1. What is the stable marriage problem? Prove that the Gale Shapley Algorithm returns a stable matching. 2. What is a DAG and what is a topological ordering of a DAG? 3. How do we figure out how many topological orderings an acyclic graph has? Write down the steps.

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