In a chess tournament with 200 participants, 700 matches are arranged such that among any 100 participants, the number of matches played between them is at least \( N \). Determine the maximum possible value of \( N \).
Source: 2025 Turkey EGMO TST P6
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In a chess tournament with 200 participants, 700 matches are arranged such that among any 100 participants, the number of matches played between them is at least \( N \). Determine the maximum possible value of \( N \).