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Ice cream costs 2000 rubles - All-Russian MO 1996 Regional (R4) 8.1

Source:

September 23, 2024
algebra

Problem Statement

Ice cream costs 20002000 rubles. Petya has 40053992(4003+24002+3400+4)400^5 - 399^2\cdot (400^3 + 2\cdot 400^2 + 3\cdot 400 + 4) rubles. Does Petya have enough money for ice cream?