2. Suppose you have six sorted files of sizes 45KB, 10KB, 12KB, 120KB, 9KB, and 5KB. To merge two files of length 11 and 12 takes (11 + 12) operations. Find an optimal merge sequence to merge these six files into a single sorted file. Show you answer as a binary tree. file Size in KB 45 10 12 120 95 Table 2: Sorted files and their sizes