Suppose our input data to a MapReduce operation consists of integer values $($the keys are not important$).$ The map function takes an integer$$i$$and produces the list of pairs $($p$,$i$)$ such that$$p$$is a prime divisor of$$i$.$ For example, map$(12)=[(2,12),(3,12)].$

The reduce function is addition. That is$,$ reduce$($p$,[$i$1,$i$2,...,$ik$])$ is $($p$,$i$1+$i$2+...+$ik$).$

Compute the$$Map output$$and the$$Reduce output, if the input is the set of integers $[15,18,24,42].$