6. You have taken a new job with a small marketing platform. Their main line of business is to send marketing messages to people on their extensive email list. The messages are not cheap; companies wanting to send messages must purchase them individually while specifying certain groups of people to receive them. Of course, nobody likes spam, so you try to make sure each person receives at most one marketing email a day. Suppose at the start of the day you are given a list of m messages, a list of n email addresses, and a table specifying which messages can be sent to which email addresses. Describe and analyze an algorithm that computes the maximum number of marketing emails you can send so each individual message is sent at most once and each email address receives at most one message. Advice: Reduce the problem to bipartite matching or maximum flow.

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.