A directed acyclic graph (DAG) is called a lattice if it has one vertex reach- able from any other vertex (sink), and one vertex such that every other vertex can be reached from it (source). Give an efficient algorithm to determine if a given DAG is a lattice. Provide justification of the correctness and analyze running time complexity of your algorithm. Your algorithm has to have a running time in O(|V| + |E|)

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