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Question 1 : ( 5 0 pts ) Consider the Differentiated Set Coverage Problem: Input: n items, U = 1 , 2 , . .
Question : pts Consider the Differentiated Set Coverage Problem: Input: n items, U n coverage requirements of the items f f fn m sets, S S Sm price of the sets p p pm Let x x xm be the selection decisions of the sets, xi in Output: A minimum price selection x of the sets S S Sm that can cover the items in U at least times. Ex: Let n and U having coverage requirements Let m and S S S S S with prices For instance, item j in U should be covered by at least f different sets Si We note that item can be covered by S with price p by S with price p and by S with price p pts Determine a greedy selection rule for the sets. Design a greedy algorithm for the Differentiated Set Coverage Problem and report the pseudocode. pts Discuss the time complexity of your greedy algorithm. Is it efficient? Can your algorithm find the optimum solution? pts Implement your algorithm in Java. Use the input given in the example and report the console outputs. Report your Java code scripts.
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