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CR-MO 2016 A2

    The initial number of inhabitants of a city of more than 150150 inhabitants is a perfect square. With an increase of 10001000 inhabitants it becomes a perfect square plus a unit. After from another increase of 10001000 inhabitants it is again a perfect square. Determine the quantity of inhabitants that are initially in the city.

    Dataset text AI-MO AoPS. Quoted with source.

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