Design a MapReduce algorithm that computes the sum of a multiset. The input is represented by pairs (x,m) where x is an element of the multiset and m is its multiplicity, i.e., the number of times it is included in the set. For example, the multiset [3, 1, 2, 2, 3, 3, 2, 1, 3] is represented by the pairs [(1,2),(2,3),(3,4)], and the desired output is 20. What is the map function? What is the reduce function? Describe any considerations you would take into account.

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Design a MapReduce algorithm that computes the sum of a
multiset. The input is represented by pairs (x,m) where x is an
element of the multiset and m is its multiplicity, i.e., the number of
times it is included in the set.
For example, the multiset [3, 1, 2, 2, 3, 3, 2, 1, 3] is represented by
the pairs [(1,2),(2,3),(3,4)], and the desired output is 20.
What is the map function? What is the reduce function? Describe
any considerations you would take into account.

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