NEW YORk, Sept. 1 -- Serena Williams and last year's French Open champion Francesca Schiavone played red hot matches in U.S. Open as Williams allowed only one game and Schiavone surrendered two in cuising into third round on Thursday.

Williams romped past two rounds in a total of 105 minutes. In Round one, she dispatched Bojana Jovanovski 6-1, 6-1 in 56 minutes. On Thursday, Williams was even better, dusting off Michaella Krajicek 6-0, 6-1 in 49 minutes thanks to 25 winners to just 10 unforced errors and an 83 percent conversion rate on her break point chances, making five of six.

No. 7 seed Francesca Schiavone, who won at Roland Garros in 2010, routed Mirjana Lucic, 6-1, 6-1 in the first match at Arthur Ashe Stadium.

Schiavone didn't face a break point against Lucic, and broke the 96th-seeded Croatian five times in eight chances.

Serena Williams of the U.S. gestures after winning her match against Michaella Kajicek of the Netherlands at the U.S. Open tennis tournament in New York, September 1, 2011

Serena's sister Venus pulled out of the tournament on Wednesday due to an autoimmune disease, which is called Sjogren's Syndrome involving white blood cells and organ and system function.

Serena said she wanted to use her sister's sickness and withdrawal as motivation to do her very best.

"She wants me to do the best. She wouldn't want me to suffer," 13-time grand slam winner Serena said.

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