For the following code below:

A: load R$1,0($R$0)$

B: store R$2,16($R$0)$

C: addi R$2,$ R$3,$ #$4$

D: add

R$3,$ R$2,$ R$3$

E: store R$4,16($R$2)$

F: load R$5,12($R$4)$

$//$ R$1=$ MEM$[$R$0+0]$

$//$ MEM$[$R$0+16]=$ R$2$

$//$ R$2=$ R$3+4$

$//$ R$3=$ R$2+$ R$3$

$//$ MEM$[$R$2+16]=$ R$4$

$//$ R$5=$ MEM$[$R$4+12]$

Assume the following initial register content:

R$0=36$

R$1=1000$

R$2=200$

R$3=16$

R$4=40$

R$5=500$

Assume that the memory initially contains zero value at all memory locations.

$($a$)$ List all register dependences and indicate their types. For example, if instruction X has write after read dependence with instruction Y$,$ write it in this format: WAR$($X $->$ Y$).$

$($b$)$ List all memory dependences and indicate their types. Use the same format as in part $($a$)$