An award committee’s job is to award n prizes to m candidates. Each prize is associated with a list of candidates who are qualiﬁed to receive the prize. There is however an upper bound k on the number of prizes each candidate can receive. Design an eﬃcient algorithm that given n and m, the list of qualiﬁed candidates for each of the n prizes, and the upper bound k, awards the n prizes to the m candidates so as to maximize the number of prizes awarded. Analyze the running time and show the correctness of your algorithm.

Subject | Mathematics |

Due By (Pacific Time) | 05/14/2013 06:00 pm |

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