# Sweet Building

An army of worker ants was carrying sugar cubes back to their colony. In there, the ants put 1 sugar cube into the first room, 2 into the second, 4 into the third, and doubling the amount so on until the $$101^\text{th}$$ room.

Then the Queen ant decided to build bigger cubic blocks of $$5\times 5\times 5$$ sugar cubes from all they had previously collected. How many sugar cubes would be remained after all these build-ups?

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