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?