Below is an execution trace of a program fragment for a computer with $512-byte$ pages. The program is located at address $1020,$ and its stack pointer is at $8192\:\:($the stack grows toward $0).$ Give the page reference string generated by this program. Each instruction occupies $4$ bytes $(1 \text{word})$ including immediate constants. Both instruction and data references count in the reference string.
- Load word $6144$ into register $0$
- Push register $0$ onto the stack
- Call a procedure at $5120,$ stacking the return address
- Subtract the immediate constant $16$ from the stack pointer
- Compare the actual parameter to the immediate constant $4$
- Jump if equal to $5152$
