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A football club manages five teams (T, in columns) of different ages. So that everyone is satisfied, the club conducts a survey, where each child

A football club manages five teams (T, in columns) of different ages. So that everyone is satisfied, the club conducts a survey, where each child can rate his coach (C, in rows) with points from 1 to 5. A higher score means a better rating.

The result was as follows: The first coach got 2 points from team 1, 3 points from team 2, 1 point from team 3, and 2 points from teams 4 and 5. The second coach received 1 point from team 1, 3 points from team 2, 2 points from team 3, 1 point from team 4, and 2 points from team 5. The third coach got exactly the same points as coach 1, but he does not want to coach team 2. The fourth coach received 1 point from team 1, 2 points from teams 2 and 3, 1 point from team 4, and 2 points from team 5. The fifth coach received 3 points from team 1, 1 point from team 2, 2 points from teams 3 and 4, and 3 points from team 5. The aim is to maximize the overall utility of all teams by using the Hungarian Method.

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