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Problem 399

Number theory Difficulty 2.6 Find the answer Junior Mathematical Olympiad, September · Netherlands · 2019

We compute the square of each of the numbers from 11 to 20192019. We take the last digit from each of the resulting squares, and then we add those 20192019 digits together.
What number do we get?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

9090

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