If the feature vector is three$-$dimensional, the perceptron has four parameters. Suppose all parameters are in

the range $-1,1$ and we search this range by dividing it by $0\mathrm{.}0001$ intervals.

$(1)$ Write the number of dots to be explored. If it takes $0\mathrm{.}01$ milliseconds to evaluate a dot, how long will it take

to learn?

$(2)$ Feature vectors in the Wine database are $13-$dimensional. If the above assumptions apply, write the number

of dots and the training time when training the Wine database.