Problem 6. [bonus] Consider the following game. Each player can donate any integer amount of dollars, up to 10, in which case the other receives double their donation, or can keep their money (as in class). If the donations are i, j, then Aij = 2j i and Bij 2i - j. = Write a python program to play this repeatedly against other similar programs. The decision at each step can depend on what you did in the past, and the other program did in the previous rounds. The program should be a function play (X, Y), where X,Y are lists of integers of our and their previous actions. (In the first round, these are empty lists.) The function should return a number in [0, 10], which is the amount that you decide to donate. You are allowed to use randomness. Each pair of programs will play each other 1000 times, accumulating their scores. All valid submissions get points, Top places get bonuses. Samples: #always donate def play (us, them): return 10 #donate random amount: def play (us, them): return random.randrange (11) #do what the opponent did last time. donate in round 1. def play (us, them): if len(them) == 0: return 10 return them [-1] # donate the average of the opponent donations: def play (us, them): if len(them) == 0: return 7 return int (round (sum (them)/len (them)))