A system has a main memory of $64$ bytes, and its contents are described in the table below. Note that a value at column named by addr is an index, and a value at column named by val is memory content.

Assume the following:

$-$ This system uses a paging system with a single$-$level page table.

$-$ The page size is $8$ bytes, and so is the frame size.

$-$ A virtual address is $6$ bits. The high $3$ bits is the page number, and the low $3$ bits is the offset.

$-$ The page table fits in a single frame, and it is located at the first frame of the main memory.

$-$ An index of the page table indicates the page number. For example, the first entry of the page table is the entry for page number $0.$

$-$ Each page table entry is $1$ byte. In each entry the $3$ lowest order bits indicate the frame number. The next higher bit is set to $0$ if the page is currently in the memory, and is $1$ if the page is not in the memory.

$-$ The page number and frame number start from $0.$

Suppose the user accesses virtual memory addresses $0$x$0$D$,0$x$18,0$x$32,0$x$3$C$,0$x$27.$ Write the value stored in the physical memory address if the frame is in memory, or write $$page fault$$ if the frame is not in memory.