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pending

\(\text{ }\)

A tower is composed of \(2014\) vertically stacked bricks. The first brick **from the top to the bottom** weighs \(1\) mg, the second brick weighs \(2^3\) mg, the third brick weighs \(3^3\) mg and so on.

A demolition company wants to collapse the tower by only removing one of its bricks, **such that the brick's weight is the smallest possible**. The tower is granted to collapse if the weight of the bricks above the removed one is greater than the weight of the ones below.

Which brick **from the bottom to the top** must the company remove?

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