ords involved computer$-$

supplied passwords. The passwords were eight characters long and were taken from the

character set consisting of lowercase letters and digits. They were generated by a

pseudorandom number generator with $215$ possible starting values. Using technology of

the time, the time required to search through all character strings of length $8$ from a $36-$

character alphabet was $112$ years. Unfortunately, this is not a true reflection of the actual

security of the system. Explain the problem