Please answer fast to this AI problem. Thanks.

Answer the following fill$-$in blank questions.

The following Al applications fall into the specific type of environment. Choose all those apply.

A$.$ The weather forecast problem

B$.$ The tic$-$tac$-$toe game

C$.$ Self driving cars

D$.$ The $N-$queens search problem

Which of the environments are dynamic?

Which of the environments are fully observable?

Which of the environments are stochastic?

Which of the environments have known physics?

The sliding puzzle game, shown in the following figure, consists of a $33$ board with $8$ numbered tiles and one blank space. At each turn, the agent moves one of adjacent tiles to the blank space. We want to come up with an algorithm to reach the goal state $($on the right in the figure$)$ no matter what the starting state is$.$

A$.$ What is the size of that state space?