Determine the number of comparisons (as a function of n and m) that are performed in merging two ordered files a and b of sizes n and m, respectively, by the merge method presented in the lecture, on each of the following sets of ordered files:
a. m=n and a[i] < b[i] < a[i+1], e.g. a=[ 6, 9, 12, 15, 29, 37] and b = [8, 10, 14, 25, 33, 45]
b. m=n and a[n] < b[1], e.g. a =[ 2, 5, 9] and b = [12, 14, 16]
a[i] refers the value in position i of file a, etc.