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File System Reads and Writes Suppose we have a directory structure as follows: Suppose the contents of the root directory and its inode, and the contents of directory A and A's inode, are cached in main memory. List out all the disk read and write operations (to directories, files inodes) needed to create a new 1 fie called "file100" in directory A. Explain the reason for each read and write. For example, if the root inode and the root directory was not cached, you would have a line item that says the following: Read root inode rightarrow determine location of root directory on disk