Question: Computer users are notoriously lax about choosing passwords; left to their own devices, they tend to pick short or really obvious passwords. At Simpleton University, passwords must contain only lowercase letters, and the campus computer system uses an (unrealistically simple) cryptographic hash function given by the following algorithm:
1. Letters in the password are converted to an integer equivalent (a → 1, b → 2, and so on).
2. In the result of step 2, all individual digits are added (for example, 17 becomes 1 + 7) to give an integer value x.
3. h(x) = x mod 25
Joe Hack has managed to steal the password table, and he notices that there is a password entry of 20 for bsmith. Joe decides to try to hack into the system as bsmith by guessing bsmith's password. Can you guess bsmith's password?