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Before I get started on the actual problem, here's a quick background story:

Last year my math teacher gave out passwords to check grades online. They were constructed in the following manner - 1st initial, 2nd initial, random 1 digit number.

The students in the class made a game out of guessing each others passwords and turning them in to the teacher for extra credit.

My teacher loves math. If I had to guess her favorite branch of math I'd say number theory. She saw how popular the password-guessing was last year so she decided to give us a challenge this year and told us she used an algorithm to make these passwords and she then encouraged us to try to figure out what she did to make the passwords.

So here's where the story ends and the problem begins.

I have two classes with her. She gave me a different password for both classes each generated in the same method.

The relevant pieces of the passwords are: 11 and 911

I gathered a list of passwords from students willing to help figure out the algorithm.

(EDIT)It was discovered today that multiple algorithms were used for different sets of passwords (an algorithm for every 2-3 passwords actually). However, she told me it was kind of scary that I'm already at a point she thought I wouldnt be at for a few months... :)

She also requested that I dont post the passwords online.

(/EDIT)

Thanks,

Caldiar

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# Guessing Number-Generating Algorithm

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