Given an unordered list of n numbers, what algorithm would you use to sort it, and what is the worst-case runtime of the algorithm?
Added by Amanda J.
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A commonly used algorithm for sorting an unordered list of numbers is the QuickSort algorithm due to its average-case efficiency and simplicity. Show more…
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Use the bubble sort to sort 8, 1, 5, 3, 4, 6 showing the lists obtained at each step. Let f(n) = 3n^2 + 8n + 7. Show that f(n) is O(n^2). Be sure to specify the values of C and k. Give a big-O estimate for the number of comparisons used in this segment of an algorithm, to find maximum and minimum of a sequence of n integers. procedure smallest and largest(a1, a2, ..., an : integers) min := a1 max := a1 for i := 2 to n if ai < min then min := ai if ai > max then max := ai {min is the smallest integer among the input, and max is the largest}
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Describe an algorithm for finding both the largest and the smallest integers in a finite sequence of integers.
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(a) Use a divide-and-conquer approach to devise a procedure to find the largest and next-to-largest numbers in a set of n distinct integers. (b) Give a recurrence relation for the number of comparisons performed by your procedure. (c) Solve the recurrence relation obtained in part (b).
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