April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Abstract Algorithms 3—Dynamic Programming 271
11.1 INTRODUCTION
We have seen that in the divide-and-conquer strategy, the basic method is to divide the original problem into
various subproblems, to solve the subproblems (possibly recursively), and then to combine the results so as to
get the solution to the original problem. Sometimes it happens that the natural way of dividing the problem,
leads to sub-divisions or sub-instances which are overlapping. If we solve each of them independently, they
will in turn create a number of identical sub(sub)instances. It would be a waste of computing time if we tried
to solve the sub(sub)instances again. Hence if we could save the results of lower level subproblems, they
could be used again later on to ...
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