Which line from “cruel tribute” best supports the idea that ariadne’s actions advance the plot?

and now they passed close by the palace gate, and in it stood king minos himself, and his daughter ariadne, the fairest of the women of crete.
ariadne said no more; and yet she thought that she had never seen any one who looked so much like a hero as young theseus.
all through that night ariadne lay awake and thought of the matchless hero, and grieved that he should be doomed to perish.
then she gave him a sharp sword, and hid it underneath his cloak, telling him that with it alone could he hope to slay the minotaur.