premise: Exactly five students—Grecia, Hakeem, Joe, Katya, and Louise—are to work at a campus art gallery during a special exhibit that runs for exactly five days, Monday through Friday. Each day is divided into two nonoverlapping shifts—first and second—with each student working exactly two shifts. Each shift is worked by exactly one of the students according to the following scheduling restrictions: No student works both shifts of any day. On two consecutive days, Louise works the second shift. On two nonconsecutive days, Grecia works the first shift. Katya works on Tuesday and Friday. Hakeem and Joe work on the same day as each other at least once. Grecia and Louise never work on the same day as each other. Which one of the following could be the list of the students who work the second shifts at the gallery, in order from Monday through Friday?
hypothesis: Louise, Louise, Hakeem, Joe, Joe