P11041 [Lanqiao Cup 2024 NOI Qualifier Java B] Counting Game

Xiao Lan and his friends are playing a counting game. Since this year is $2024$, they decide to take turns reporting, in increasing order, the positive integers that are multiples of $20$ or $24$. The first $10$ reported numbers are: $20,24,40,48,60,72,80,96,100,120$. What is the $202420242024$-th reported number? This is an output-only fill-in-the-blank problem. You only need to compute the result and submit it. The result is an integer. When submitting, output only this integer; any extra content will result in no score.

There is no input for this problem.

One line with one integer, representing the answer you computed.

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