This sequence is based on a logic problem that appeared on a math olympiad test in Singapore and became famous via Internet news. The problem is as follows.
Cheryl tells her friends Albert and Bernard that her birthday can be represented by one of the threedigit numbers in this list (where the first digit represents the month and the last two digits represent the day). She then secretly tells Albert the first digit (the month) and she tells Bernard the final two digits (the day). Albert and Bernard then have the following conversation:
Albert: "I don't know when Cheryl's birthday is, but I do know that Bernard also does not know."
Bernard: "At first I didn't know Cheryl's birthday, but now I do."
Albert: "Then I now also know when Cheryl's birthday is."
The goal of the puzzle is to determine Cheryl's birthday based on the given information.
