Algorithm for finding smallest element in unsorted array

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Reference no: EM1352324

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 ( )?

Reference no: EM1352324

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