olymmath

CO-MO 2020 Problem 1

    A positive integer is called sabrosoif when it is added to the number obtained when its digits are interchanged from one side of its written form to the other, the result is a perfect square. For example, 143143 is sabroso, since 143+341=484=222143 + 341 =484 = 22^2 . Find all two-digit sabroso numbers.

    Dataset text AI-MO AoPS. Quoted with source.

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