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KöMaL 2026 C1884

    30 students in a class did a test in mathematics. The teacher marked the tests, and sent a table of the marks to the students such that the marks appeared in a column: 15 of them were four, and 15 of them were five. Prove that it is always possible to find 14 consecutive rows such that the sum of the marks contained in them equals 63.

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