For a vector $\bar{x} = [x[0], x[1], ..., x[7]]$, the 8–point DFT is
$\bar{X} = DFT(\bar{x}) = [X[0], X[1], ..., X[7]]$ where
\[
X[k] = \sum_{n=0}^{7} x[n]\exp\left(-j\,\frac{2\pi}{8}nk\right).
\]
If $\bar{x} = [1, 0, 0, 0, 2, 0, 0, 0]$ and $\bar{y} = DFT(DFT(\bar{x}))$,
the value of $y[0]$ is __________ (rounded off to one decimal place).