Convenient Airports

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Chefland is a big nation which relies on its airport system to guarantee fast travel. Currently, there are $N$ airports (numbered $1$ through $N$) and $M$ bidirectional flights in Chefland. Each flight connects two distinct airports, but there may be any number of flights between each pair of airports. We say that a system of flights is connected if it is possible to travel from each airport to al

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