Four athletes, Ann, Bea, Carol, and Dorothy went out one morning and ran a race. At the end of the race, the following statements were made:

Ann: "I didn't come in first or last."
Bea: "I didn't come in last."
Carol: "I was first."
Dorothy: "I was last."

It is known that one, and one only, of the four athletes is the liar while the other three are knights.

Who won the race?