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Consider the following interleaving of four transactions with the initial values: bal x = 100 bal y = 200 bal z = 300 T 1

Consider the following interleaving of four transactions with the initial values: balx = 100 baly = 200 balz = 300

T1 T2 T3 T4
begin_transaction begin_transaction begin_transaction begin_transaction
read(balx) read(baly) read(balz) sum = 0
balx = balx + 100 baly = baly - 10 balz = balz + 50 read(balz)
write(balx) write(baly) write(balz) sum = sum + balz
read(baly) read(balz) commit read(baly)
baly = baly - 100 balz = balz + 10 sum = sum + baly
write(baly) write(balz) read(balx)
commit commit sum = sum + balx
commit

a)If the transactions were permitted to run as shown, what would be the final values of balx, baly, balz, and sum?

b)Assuming appropriate use of rigorous 2-Phase Locking, and assuming priority on gaining locks is from left to right, and it takes one time step to gain / release locks, show the interleaving of the transactions over time.

c)What are the final values of balx, baly, balz, and sum?

d)Repeat parts (b) and (c) if transaction T2 performs a rollback instead of a commit.

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