In a school tennis tournament with $m \ge 2$ participants, each match consists of 4 sets. A player who wins more than half of all sets during a match gets 2 points for this match. A player who wins exactly half of all sets during the match gets 1 point, and a player who wins less than half of all sets gets 0 points. During the tournament, each participant plays exactly one match against each remaining player. Find the least number of participants $m$ for which it is possible that some participant wins more sets than any other participant but obtains less points than any other participant.

Let's think step by step and output the final answer within \boxed{}.
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