Q$1.$ Given the following sequence of MIPS instructions and using a $5-$stages pipeline datapath:

$lw$ $$1,1000($$$2)$

$lw$ $$3,1004($$$1)$

add $$2,$$$3,$$$4$

sub $$5,$$$2,$$$6$

vri $$1,$$$2,10$

a$)$ Indicate dependencies and their types.

b$)$ Assume there is no forwarding in this pipeline processor. Indicate hazards and nep instructions to eliminate them

c$)$ Assume there is full forwarding. Indicate hazards and nop to eliminate them.

For each of the above, provide a diagram that shows the current state of the pipeline registers. Assume each instruction will require at most $5$ cycles to complete, $1$ cycle per pipeline stage. In the case of forwarding, your diagram must illustrate all forwarding that are implemented by the processor's forwarding and data hazard unit.