Q$16$: In a given ANN model, we know that in the input layer, Input $\backslash (1=1\backslash ),$ Input$2=3,$ and the connections among different input nodes, hidden nodes, and output nodes are shown as below. We also know the weights values connecting different nodes are: Weights No$.1$ to No$.6$ all equal to $0\mathrm{.}5,$ and weights No$.7$ to No$.12$ all equal to $1.($Hint: $\backslash (\backslash$mathrm$\{$X$\}=\backslash )$ Input $\backslash (1*\backslash$mathrm$\{$~W$\}1+\backslash )$ Input$2*$W$4)$

$(1)$ Calculate the values of all hidden nodes.

$(2)$ Calculate the values of all outputs nodes.