For the following code below:

A: load R$1,0($R$0)//($ R$)1=$ MEM$[$R$0+0]$

B: store R$2,16($R$0)//($ M$)$EM$[$R$0+16]=$ R$2$

C: addi R$2,$ R$3,$ #$4//($ R$)2=$ R$3+4$

D: add R$3,$ R$2,$ R$3//($ R$)3=$ R$2+$ R$3$

E: store R$4,16($R$2)//($ M$)$EM$[$R$2+16]=$ R$4$

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