Hogwarts School is planning to conduct a Quidditch game in a school. The school has identified
ten different magic spots for the game. All these spots will be connected to each other via
broom-ways. The broom travel duration between any pair of spots will be less than one hour.
They decided that from any of these spots, one should be able to make a trip to any other spot in
the morning and should be able to return by the evening of the same day. The trip can be made
using only direct non- stop brooms. In that case, what is the minimum number of brooms that
need to be scheduled?
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