Problem $3$: $2$PL $(45$ Points$)$

Consider the following two transactions:

$T_{34}$:read$(A)$;

read$(B)$;

$ifA=0$ then $B$:$=B+1$;

write $(B)$

$T_{35}$:read$(B)$

read$(A)$;

$ifB=0$ then $A$:$=A+1$;

write $(A)$

Add lock and unlock instructions to transactions $T_{34}$ and $T_{35}$ so that they observe the twophase locking protocol. $(40$ points$)$

Here are some instructions you can use:

Lock$-$S$($A$)$

Lock$-$S$($B$)$

Lock$-$X$($A$)$

Lock$-$X$($B$)$

Unlock$($A$)$

Unlock$($B$)$

Can the execution of these transactions result in a deadlock? $($Just Yes or No$)(5$ points$)$