Daniil Medvedev had an easy start to his U.S. Open title defense, beating Stefan Kozlov

Simona Halep had another early exit, this one coming in a memorable first tour-level win for Ukrainian Daria Snigur.

Snigur struggled through tears to explain what the victory meant to her family and her country

which is at war with Russia.

On the same Arthur Ashe Stadium court where Serena Williams began what could be the final tournament of her career

the top-seeded Medvedev looked just as strong as he did in sweeping past Novak Djokovic in last year's final

Medvedev advanced to face Arthur Rinderknech of France

The Russian is trying to become the first repeat champion at the U.S. Open

“I need to be at my best on Wednesday and I’m going to try to make it,” Medvedev said.

“It seems like a long time ago,” Murray said of his victory over Djokovic in 2012