Please answer this question for me.

5. (20 points) Three children, Bryan, Curtis, and Emily, have to divide a cake. Bryan can suggest the following two different divisions: (1.) Bryan gets to keep half the cake and the rest is split evenly between Curtis and Emily. So the resulting split of the cake is (, 4, } We denote this action by Bryan as 7. (2.) Bryan's second suggestion is that the cake is split evenly so that the resulting split of the cake is (3, 3, ;). We denote this action by Bryan as . After observing Bryan's suggested division, Curtis then decides whether to accept (A) or deny (D) the division of the cake suggested by Bryan. Then Emily, knowing Curtis's decision, decides whether to accept (A) or deny (D) the division suggested by Bryan. Each child cares for the share of the cake he or she receives. The bigger the share, the better for 3 him/her. Write the game in extensive form and find all the subgame perfect equilibria (SPE) of the game