# Think "Twice"

Let $$\large S$$ be the set of all integers of the form $$\large 2^{a}+2^{b}+2^{c}$$, where $$\large a, b, c$$ are mutually distinct whole numbers.

When all the elements of $$\large S$$ are arranged in ascending order, find the $$\large 100^{th}$$ element.

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