World No. 1 Iga Swiatek and Carlos Alcaraz reached the second round of a sweltering US Open on Tuesday.
Polish International Swiatek eased past Italy's Jasmine Paolini 6-3, 6-0 in just 67 minutes.
The victory was a relief for the 21-year-old who had suffered early losses at warm-up events in Toronto and Cincinnati.
"In matches, being a little bit stressed and tight, it can get a little bit worse, but still, I feel like my level is just better," said Swiatek who next faces 2017 champion, Sloane Stephens.
"We'll see if I'm going to hold on to that."
Alcaraz, the 19-year-old world No 4, was made to sweat by battling Sebastian Baez, winning the first two sets 7-5, 7-5 before the Argentine retired injured 0-2 down in the third.
"Nobody wants to see a match end like this. Sebastian is a great player, fights to the last ball and deserves better things," said Alcaraz, a quarterfinalist in 2021.
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