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For a file system with 4KB blocks and 8 byte block numbers, suppose each inode contains 12 direct block numbers, 1 single indirect block number,

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For a file system with 4KB blocks and 8 byte block numbers, suppose each inode contains 12 direct block numbers, 1 single indirect block number, and 1 double indirect block number. (a) How many block numbers can one single indirect block contain? [5 points] (b) Consider a file in this file system containing 32MB of data. How many total indirect blocks (single and double) will be part of the file's metadata? [5 points] (c) What is the maximum file size to the nearest megabyte (MB) supported by this file system? [5 points]

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