GR-HMS 2020 Problem 3
On the board there are written in a row, the integers from until (included that) in an increasing order. We have the right of ''movement'' : We choose any two numbers that are written in consecutive positions and we replace the pair by the number . We repeat the movement , many times until only one number remains written on the board. Determine whether it would be possible, that number to be: (i) (ii)
Dataset text AI-MO AoPS. Quoted with source.
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