OBM 1986 Problem 5
A number is written in each square of a chessboard, so that each number not on the border is the mean of the neighboring numbers. Show that if the largest number is , then there is a number equal to in the border squares.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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