Greedy Algorithms – Part 2
Greedy Algorithms – Part 2
Jan 30, 2013
Microsoft
SOLVED: Greedy AlgorithmsYou are given an input of n real numbers xi, . . : , xn. Design an efficient algorithm that uses the minimum number m of unit intervals [li, li 1) (1 < i < m) that cover all the input numbers. A number xj is covered by an interval [li, li 1) if li <= xj< li 1. Proof is not required.For example, consider the input for n = 4: 0.9, 0.1, 1.3, 1.555. Then the two intervals [0.1, 1.1) and [1.3, 2.3) cover all the input numbers (i.e. in this case m = 2).
SOLVED: Greedy AlgorithmsYou are given an input of n real numbers x…
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SOLVED:a) Devise a greedy algorithm that determines the fewest lecture halls needed to accommodate n talks given the starting and ending time for each talk. b) Prove that your algorithm is optimal. Suppose we have s men m1, m2, …, ms and s women w1, w2, …, ws . We wish to match each person with a member of the opposite gender. Furthermore, suppose that each person ranks, in order of preference, with no ties, the people of the opposite gender. We say that a matching of people of opposite genders
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