Question: 2. Consider the following algorithm: 1: function HOMEWORKFUNCTION(array A). if length(A) == 1: x 0 2: 3: return A[0] 4: else: 5: 6: 7:

2. Consider the following algorithm: 1: function HOMEWORKFUNCTION(array A). if length(A) == 1: x 0 2: 3: return A[0] 4: else: 5: 6: 7: 8: 9: 10: while length(A): x+= 1 A1A[0 length (A)/4] A2A[length(A)/4: 2+ length (A)/4] A3A[3 length (A)/4: length(A)] 11: return Homework Function (A1) + HomeworkFunction(A2) + HomeworkFunction(A3) 12: end function 1. Write the running time of this function as a recurrence relation. Assume that the array initializations can all be done in constant time using pointers. 2. Describe the running time of this function using big-O notation.

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