Teammates
Ayana and Maria had guessed that the students would try to find the flag first since that means that they would work together in a group. This first day would be more like a fight between schools to find the flags. The last day would be a brutal day because everyone would be fighting each other to get the flags and the beads. There would be a fight between whether the students come from the same school or not to collect the beads as much as possible. At that time, moving as a group would be more beneficial since they could have each other's back and could share the beads based on personal hard work.
That was their hypothesis that came to mind as they talked before. They believe that most of the students would think that way, but there must be students with different thoughts.