Not just any greedy approach to the activity-selection problem produces a maximum-size set of mutually compatible activities. Give an example to show that the approach of selecting the activity of least duration from those that are compatible with previously selected activities does not work. Do the same for the approaches of always selecting the compatible activity that overlaps the fewest other remaining activities and always selecting the compatible remaining activity with the earliest start time.
Answer to relevant QuestionsGiven an m × n matrix T over some field (such as the reals), show that (S,ℓ) is a matroid, where S is the set of columns of T and A ¬ℓ if and only if the columns in A are linearly independent.Suppose you are given two sets A and B, each containing n positive integers. You can choose to reorder each set however you like. After reordering, let ai be the ith element of set A, and let bi be the ith element of set B. ...Let G = (V, E) be an undirected, connected graph with weight function w : E → R, and suppose that |E| ≥ |V| and all edge weights are distinct. A second-best minimum spanning tree is defined as follows. Let be the ...Explain the following in you own words:Coercion pseudo variableGenerated type selectorLiteral strong typing Ordinal type The-operatorPolymorphic operator type generatorIt is sometime suggested that types are really variables too, like relvar, for example, legal employee number might grow from three digits to four as a business expands, so we might need to update “the set of all possible ...
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