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Design a divide-and-conquer algorithm which takes as input an unsorted array of n distinct numbers and returns the index of the smallest number in...
Design a divide-and-conquer algorithm which takes as input an unsorted array of
n distinct numbers and returns the index of the smallest number in the array.
Provide an English explanation of the algorithm followed by pseudocode. Set up a
recurrence relation for the running time of your algorithm, and prove the -bound
on the running time via a proof by induction.