I$-$Mem$/$D$-$Mem $=200$ps$,$ Register File $=150$ps$,$ Mux $=30$ps$,$ ALU $=200$ps$,$ Adder $=150$ps$,$ Single gate $=10$ps$,$ Register Read $=30$ps$,$ Register Setup $=20$ps$,$ Sign Extend $=50$ps$,$ and Control $=50$ps$.$

What is the latency of an R$-$type instruction $($i$.$e$.,$ how long must the clock period be to ensure that this instruction works correctly$)?$

Question $12$ options:

$725$ps

$690$ps

$625$ps

$790$ps