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Modni lanac | A Modern Chain #2

Koji ostatak daje broj 9\cdot99\cdot999\cdots\underbrace{\overline{99\cdots99}}_\text{999 devetki} pri dijeljenju brojem 1000?
What is the remainder of the number 9\cdot99\cdot999\cdots\underbrace{\overline{99\cdots99}}_\text{999 nines} when divided by 1000?