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Dynamic programming - People

Chapter6 DynamicprogrammingIntheprecedingchapters wehaveseensomeelegantdesignprinciples such asdivide-and-conquer, graphexploration,andgreedychoice thatyieldde nitivealgorithmsfora varietyofimportantcomputationaltasks. Thedrawback ofthesetoolsis thattheycanonlybeusedonveryspeci ctypesofproblems. We nowturntothetwosledgehammersofthealgorit hmscraft,dynamicprogrammingandlinearprog ramming, techniquesof , thisgeneralityoftencomeswitha costinef ,revisitedAttheconclusionofourstudyofsho rtestpaths(Chapter4),weobservedthatthepr oblemisespeciallyeasyindirectedacyclicgr aphs(dags).

Dynamic programming is a very powerful algorithmic paradigm in which a problem is solved by identifying a collection of subproblems and tackling them one by one, smallest rst, using the answers to small problems to help gure out larger ones, until the whole lot of them is solved.

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