Question 187
Find $a_3, a_4, \dots, a_{2008}$, such that $a_i = \pm 1$ for $i = 3, \dots, 2008$ and
$$
\sum_{i=3}^{2008} a_i 2^i = 2008,
$$
and show that the numbers $a_3, a_4, \dots, a_{2008}$ are uniquely determined by these conditions.
$$
\sum_{i=3}^{2008} a_i 2^i = 2008,
$$
and show that the numbers $a_3, a_4, \dots, a_{2008}$ are uniquely determined by these conditions.