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Q1) Consider the following algorithm for finding the smallest element in an unsorted array:
RANDOMMIN(A[1 .. n]): min ← ∞ for i ← 1 to n in random order if A[i] < min min ← A[i] ( ) return min
(a) In the worst case, how many times does RANDOMMIN execute line ( )?
(b) What is the probability that line ( ) is executed during the nth iteration of the for loop?
(c) What is the exact expected number of executions of line ( )?
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