Consider the following dynamic game. Player $1$ moves first and can choose action A or B$,$ while player $2$ moves second and can choose action c or d$.$

If $1$ chooses A and $2$ chooses c$,$ then $1$ gets a payoff of $30$ and $2$ gets $10.$

If $1$ chooses A and $2$ chooses d$,$ then $1$ gets $10$ and $2$ gets $30.$

If $1$ chooses B and $2$ chooses c$,$ then $1$ gets $20$ and $2$ gets $8.$

If $1$ chooses B and $2$ chooses d$,$ then $1$ gets $40$ and $2$ gets $5.$

What actions will be chosen in equilibrium?

A and d

A and c

B and c

B and d