we have many machines connected to each other. However, administering these
machines is a great hassle. That is because a machine can be administered
only by a machine connected directly to it (a machine that is an
administrator can administrator itself). So, the system administrators have
decided to convert some of the machines in the network to "administrative
machines". However, the cost of converting a machine to an administrative
machine is $100, which is pretty high. So, the system administrators
approach you to help them out.

You will be given a list of machines which have a direct connection between
them. You need to compute the least cost that the company needs to incur so
that every machine in the final network is administrable by at least one of
the machines converted to administrative machines.

You are given as input the node pairs which are connected to each other. You
are supposed to find the least amount of money in dollars that you need to
spend so that every machine in the network is administered by at least one
administrator machine.

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