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NEW YORK — From an ace on the first point to a stinging return on the last, Serena Williams was close to perfect in the U.S. Open quarterfinals.

The score said it all Tuesday night: 6-0, 6-0.

Yes, Williams is looking better and better with each match at the year’s last Grand Slam tournament. With two more wins — no matter the exact scores — she’ll earn a fifth title at Flushing Meadows and 17th major championship overall.

The No. 1-ranked and No. 1-seeded Williams shut out 18th-seeded Carla Suarez Navarro of Spain, the first “double bagel” in a quarterfinal at Flushing Meadows since 1989, when 18-time major title winner Martina Navratilova did it to Manuela Maleeva.

Williams won 53 of 71 points and dominated pretty much every statistical category. The first set took all of 19 minutes. The second was slower, lasting 33 minutes, but no less lopsided.

“When you play against Serena,” Suarez Navarro said, “you know these things can happen.”

In Friday’s semifinals, Williams will play 2011 French Open champion Li Na of China.

Asked in an on-court interview if her game is peaking, Williams replied: “No. Not yet. I hope not. I’m just trying to do the best that I can.”

Well, that just happens to be rather good. Through five matches, Williams has dropped a total of 13 games so far. For comparison’s sake, know this: Suarez Navarro lost more games than that in her previous match alone, 15, while eliminating No. 8 Angelique Kerber.

That victory, and her seeding, should have demonstrated that Suarez Navarro is quite capable of playing well, too. But not on this evening. Not against Williams, who is 65-4 with eight titles in 2013. Going back to the start of Wimbledon last year, the 31-year-old American is 96-5 with 13 trophies, including from three of the last five Grand Slam tournaments plus the London Olympics.

“The conditions were so tough, so it definitely was not her best tennis today,” Williams said about Suarez Navarro, who was playing in her third career major quarterfinal Tuesday, which happened to be her 25th birthday.

Tough conditions, huh? That swirling wind in Arthur Ashe Stadium sure did not appear to bother Williams one bit. She wound up with a 20-3 edge in winners. She made fewer unforced errors, 12-9. She won 23 of 26 points on first serves.

“I’ve been playing here for, like, 50 years,” Williams said with a laugh. “I’ve kind of gotten used to the conditions. Even though it’s difficult to play each year, I’m getting a little bit better with it.”

When Williams did face a break point for the first time, 42 minutes and 11 games into the match, she came up with a big serve and raced forward for a simple putaway that she punctuated with a yell. Moments later came a second break chance, but even with Williams stumbling to the court, Suarez Navarro dumped the ball into the net.

It was that kind of night.

“She’s the best player in the sport,” Suarez Navarro said. “When you look at the draw, you don’t want to see Serena there.”

In men’s fourth-round action in the afternoon, top-seeded Novak Djokovic won 45 of 53 service points while eliminating 43rd-ranked Marcel Granollers 6-3, 6-0, 6-0 in just 79 minutes.

Djokovic, who won the 2011 U.S. Open and lost in last year’s final to Andy Murray, reached his 18th consecutive major quarterfinal.

Next up is a match against 21st-seeded Mikhail Youzhny of Russia, who was two points from defeat but came back to edge two-time major champion Lleyton Hewitt 6-3, 3-6, 6-7 (3), 6-4, 7-5.

The other men’s matches were at night, with Murray losing a first-set tiebreaker but defeating Denis Istomin of Uzbekistan 6-7 (5), 6-1, 6-4, 6-4 and No. 9 Stanislas Wawrinka defeating No. 5 Tomas Berdych 3-6, 6-1, 7-6 (6), 6-2.

Earlier Tuesday, the fifth-seeded Li needed nearly 2½ hours to get past 24th-seeded Ekaterina Makarova of Russia 6-4, 6-7 (5), 6-2.

On three occasions, Li went up a break in the second set, nearing eventual victory each time, but could not finish things.

The quarterfinals on the other half of the draw are today: second-seeded Victoria Azarenka of Belarus against 48th-ranked Daniela Hantuchova of Slovakia, and 10th-seeded Roberta Vinci against 83rd-ranked Flavia Pennetta.

Azarenka’s fourth-round match against 2008 French Open champion Ana Ivanovic was postponed until Tuesday at 11 a.m. because of rain.