Here $a[i]$ denotes the i'th element (0 indexed) of a tuple. The goal is to avoid the huge coefficients since I know the final result won't be very big (in proportion to the elements of the tuple). I tried to use the following equation but I couldn't advance in this matter: $$\sum_{i=0}^{n} {\binom{n}{i}} = 2^{n}$$
$-1000 \leq a[i] \leq 1000, 0 \leq i < n$
$n \in \mathbb{N}$ , $a[i] \in \mathbb{R}$