Okay, everyone who still believes that there is just friendship or something angsty between Yūri and Viktor after this episode, can come and fight me.
Yūri admitted in front of a room full with reporters that the feelings he has for Viktor can be named love. The second half of his programm symbolizes his career when Viktor became his coach, and when he performed it, he was so happy that he does not even remember what he did.
He was badly hurt and the first thing that came to his mind after finishing his programm was Viktor, and he literally ran over the ice and threw himself in for a hug.
I’m sorry, but if that all is not enough proof for you that we have a real gay relationship in a sports anime, then sorry, I believe you don’t actually want to see a healthy gay relationship.