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KöMaL 2025 C1872

    Peti has written the integers from one to fifty on the blackboard. In each step, he chooses two numbers (aa and bb) on the board, erases them and replaces them with the number defined by the formula a2b−6a2−7ab+42a+6b−30.a^2b-6a^2-7ab+42a+6b-30. He repeats this until a single number remains on the board. What can this number be?

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