Solve the so-called "Birthday Problem". Write a program that takes an integer N and uses the function np.random.randint (low = 0, high = N) from numpy to generate a random sequence of integers between 0 and N – 1. Run experiments to validate the hypothesis that the number of integers generated until the first repeated value is approximately a) Write a function birthday(N) that returns the number of values generated until a value is repeated as a function of the range of possible values N (from O to N – 1); b) Write a function birthday_sim(N) that repeats birthday (N) a total of n_sim - 20000 times and returns the average of all the numbers generated;

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