$(10$pt$)$ Assume that the following code is running on NVIDIA Tesla architecture.

if$($a$<mn>0</mn><mi>)</mi>$ b$=$c$+$d; $//$path$1$

else if $($a$==0)$b$=$c$*$d; $//$path$2$

else b$=$c$/$d $//$path$3$

Among a group of $32$ threads called WARP, $10$ threads follow path$1,10$ threads follow path$2,$ and $12$ threads

follow path$3.$ Assume that path $1$ needs $3$ cycles, path$2$ needs $5$ cycles, and path $3$ needs $20$ cycles. Compute the

total cycles to run the $32$ threads. Note that in Tesla, an SM has $8$ SPs$\text{'}.$