Given the following assembly language program snippet:

sum: slti $t$0,$ $s$0,1$ # test $s$0$

bne $t$0,$ $zero, sum$\_$exit # go to sum$\_$exit if $s$0<=0$

add $s$1,$ $s$1,$ $s$0$ # add $s$0$ to $s$1$

addi $s$0,$ $s$0,1$ # subtract $1$ from $s$0$

j sum

sum$\_$exit:

Answer the following parts of this question with answers that are no more than $5$ sentences long. Please do not provide any answers that are more than $5$ sentences long:

a$)$ Which of the following instructions use Immediate addressing mode?

b$)$ What register or registers have their contents changed in the assembly language program snippet?

c$)$ What register or registers do not have their contents changed in the assembly language program snippet?

d$)$ Suppose the $s$0$ register has the value $10$ and the $s$1$ register has the value $2$ before the instructions of the snippet are executed. What value does $s$1$ have once the sum$\_$exit label is branched to$?$

e$)$ The $t$0$ register has a minimum integer value it will hold by the time all of the instructions of the snippet are executed. What is that minimum integer value, $0,-1,-2,$ or $-3?$ Please state your answer as $0$ or $-1$ or $-2$ or $-3.$

f$)$ Suppose $s$0$ contains some unsigned integer value N before the before the instructions of the snippet are executed. Since $s$0$ contains the value N before the instructions of the snippet are executed, how many total times will the j instruction be executed?