3) Consider a Hadoop job that processes an input data file of size equal to 45 disk blocks (45 different blocks, you can assume that HDFS replication factor is set to 1). The mapper in this job requires 1 minute to read and fully process a single block of data. For the purposes of this assignment, you can assume that the reduce part of this job takes zero time.

a) Approximately how long will it take to process the file if you only had one Hadoop worker node? You can assume that that only one mapper is created on every node.

b) 20 Hadoop worker nodes?

c) 50 Hadoop worker nodes?

d) 75 Hadoop worker nodes?

e) Now suppose you were told that the replication factor has been changed to 3? That is, each block is stored in triplicate, but file size is still 45 blocks. Which of the answers (if any) in a)-c) above will have to change?