Suppose a file system is constructed using blocks of 8 words each. In this system, a word has a length of 4 bytes. The disk pack used to hold the...

The file contains 16 words of data: the first direct index points at block 31, and the second direct index points at block 29.  Blocks 4,7,10,and 15 are marked bad.  Assume that free blocks are allocated in logical order starting with block 0 and that write operations modify the file system 1 block at a time. 

What will the state of the system look like after 100 additional words are appended to the file (draw a block diagram showing the structure of the I-node and the blocks that are allocated).