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Problem 7 ( bonus question up to 1 0 points; data structure and algorithm ) We are given a collection C of n integer keys
Problem bonus question up to points; data structure and algorithm We are given a collection C of n integer keys where nis relatively large, say million that we can store however we like. We want to use this collection to answer queries of the form given a key kwhich may or may not be in C find all the keys in C that are at a distance d or less from k ie return the set k in C:kk dthis is called a range searchAssume the collection is static, ie the n keys stay the same and we dont insert or delete any keys. Describe an efficient data structure for C and an algorithm to do many range searchesno need to give pseudocode, but the description in English should be precise Give the runtime Tn to set up the data structure, and the runtime Sn m to do one range search assuming it returns m n keys
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