olymmath

AIME 2010a Problem 2

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Find the remainder when 9×99×999×⋯×99⋯9⏟999 9’s9 \times 99 \times 999 \times \cdots \times \underbrace{99\cdots9}_{\text{999 9's}} is divided by 10001000.

Dataset text AIME 1983 to 2026. Quoted with source.

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