Question $1$: Loop unrolling and Static Multi$-$issue $(25$ points$)$

Assume that you are given a dual$-$issue pipeline for RISC$-$V ISA. You can schedule ALU or branch instruction in the first issue slot, and load$/$store instruction in the second issue slot of the issue package. You are given the following sequence of instructions.

Loop:

$\backslash$table$[[$lw$,$x$7,0($x$10),$#read from memory$],[$add$,$x$7,$ x$7,$ x$11,$#update value$],[$sw$,$x$7,0($x$10),$#store it back to memory$],[$addi$,$x$10,$ x$10,0$x$4,$#update the address$],[$bne$,$x$10,$ x$12,$ Loop,#Loop until the address is not equal to the content of x$12]]$

a$)[10$ points$]$ Assume that the loop index for the given loop above is divisible by $3.$ Unroll the given loop $3$ times. Use register renaming as necessary to avoid any name dependencies.

b$)[10$ points$]$ How would the unrolled loop in $($a$)$ be scheduled on the given static dual$-$issue pipeline? You may use the following template to show the schedule.

$\backslash$table$[[,\backslash$table$[[1$st Slot$],[($ALU or branch$)]],\backslash$table$[[2$nd Slot$],[($load or store$)]]],[$Package $1,,],[$Package $2,,],[$Package $3,,],[$Package $4,,],[$Package $5,,],[$Package $6,,]]$

c$)[5$ points$]$ Calculate and report the IPC of the system after the loop unrolling, separately. How much speedup achieved after loop unrolling?