Course Solutions Uncategorized (Solved) : 3 Use X Y Denote Interval Starts X E R Ends Y E R Let Zi Y Zn Yn Set N Intervals Assume 0 Q26180384 . . . .

(Solved) : 3 Use X Y Denote Interval Starts X E R Ends Y E R Let Zi Y Zn Yn Set N Intervals Assume 0 Q26180384 . . . .

 

3. We use (x,y) to denote an interval that starts at x E R and ends at y E R. Let { (zi,y), , (zn, yn)} be a set of n intervals. Assume that 0 < xīくVi for each = 1, . . . , n. We say (x,y) is contained in (z,v) ifz < x and y < y. You may assume that xi, ,xn are all distinct and yı, . yn are all distinct as well (a) Give an O(n logn) time algorithm to determine how many intervals in I are contained in some other interval in I. (b) We say (xi, yi) and (xj, yj) form an inclusion relation if one of them contains the other. Give an O(nlogn) time algorithm to determine how many inclusion relations there are among the intervals in I.

3.

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