MathDB
sequence of letters ASSARA...

Source: 2023 South Russian Girls MO - Assara Seniors p8

March 1, 2024
combinatorics

Problem Statement

The girl continues the sequence of letters ASSARA...ASSARA... , adding one of the three letters AA, RR or SS. When adding the next letter, the girl makes sure that no two written sevens of consecutive letters coincide. At some point it turned out that it was impossible to add a new letter according to these rules. What letter could be written last?