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Design MapReduce algorithms to take a very large file of integers and produce as output: (a) The 5th largest integer. (b) The average of all

Design MapReduce algorithms to take a very large file of integers and produce as output:

(a) The 5th largest integer.

(b) The average of all the integers in the input file.

(c) The count of the number of distinct real numbers in the input file.

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