Question $1$: Suppose that we want to solve the problem of finding out what a good car is by using genetic algorithms. Suppose further that the solution to the problem can be represented by a decision tree by considering size $($large$,$ medium, small etc.$),$ brand $($corolla etc.$),$ sportive or not, engine types $(1\mathrm{.}6,1\mathrm{.}2$ etc$).$

a$)$ If the attribute size has the highest information gain, show the final decision tree returned by the algorithm.

b$)$ If the engine has the highest information gain, show the final decision tree returned by the algorithm.