ay you have an LC$2$K program with the following characteristics:

$35\%$ lw$$

$20\%$ sw$$

$15\%$ add$/$nor

$30\%$ beq

$25\%$ of register$-$writing instructions are immediately followed by an instruction dependent on it$.$ You may assume that it is true no matter what instructions are involved.

$70\%$ of branches are not taken

What would be the expected CPI of your program using detect$-$and$-$stall to resolve data hazards and detect$-$and$-$stall for control hazards? Assume we are using the $5-$stage pipeline described in class and the stalling is handled by the pipeline. Clearly show your work. $[7]$

$$What would be the expected CPI of your program using detect$-$and$-$forward to resolve data hazards and predict$-$not$-$taken for control hazards? Assume we are using the $5-$stage pipeline described in class. Clearly show your work. $[8]$