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$1 + a + 2b + 3c + 2ab + 3ac + 6bc + 6abc$

We are given that $a = \color{#D61F06}{999} , b = \color{#3D99F6}{666} , c = \color{#20A900}{333}$. Find the value of the expression above.

Hint: Try to factorize the expression.

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