Problem 1. Assume we have an array A= (a,....an) of n elements, where it is guaranteed a majority element exists. For example, (2,1,1) has a majority element 1. a. Describe a divide and conquer method to solve this problem. b. Write the run time as a recurrence sequence. c. Solve this recurrence sequence using any method introduced so far (expansion, generative function, master theorem).

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