Consider the following program:

"text

top:

li $ t$0,100$

add $ to$,$ $ to$,-1$

add $t$0,$ $t$0,-1$

add $t$0,$ $t$0,-1$

add $ t $,$$$t,-1$

bgez $t$0,$ top

done:

li $v$0,10$

syscall

The bgez branch instruction will be encoded as an IFormat instruction. What immediate value will the instruction encode? Express your answer as an integer in base $10.$