# Algorithm Analysis

Anonymous

### Question Description

Consider a set S of n  2 distinct numbers all greater than zero in unsorted order. For each of the problems below:

• Give an algorithm to determine two distinct numbers x and y in the set S that satisfy the condition(s) of the problem.

• Your algorithm must be specified using pseudocode in the style of the text. • You must justify that your algorithm has the requested run time.

a. in O(n lg n) time, determine x, y  S such that x  y and x y w z    for all w, z  S such that w  z. (20 pts)

b. in O(n) time, determine x, y  S such that x y w z    for all w, z  S for all w, z  S such that w  z. (20 pts)

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