Problem 2. (16 points) Design MapReduce algorithms to take a very large file of integers and produce as output: (a) The largest integer. 6) The average of all the integers. (c) The same set of integers, but with each integer appearing only once. (d) The count of the number of distinct integers in the input. Note: You don't need to develop any program. You can follow the example we had for counting the words in some documents. Problem 2. (16 points) Design MapReduce algorithms to take a very large file of integers and produce as output: (a) The largest integer. 6) The average of all the integers. (c) The same set of integers, but with each integer appearing only once. (d) The count of the number of distinct integers in the input. Note: You don't need to develop any program. You can follow the example we had for counting the words in some documents