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By Larry Fine NEW YORK (Reuters) - Top-seeded world number one Novak Djokovic raced into the second round of the U.S. Open with a 6-1 6-1 6-1 demolition of Joao Souza of Brazil to close Monday's first day session at Arthur Ashe Stadium. Djokovic had to wait in the wings for Venus Williams to complete a two-hour, 40-minute win at Ashe, but once the Serb hit the court he played as if he had a taxi meter running outside the National Tennis Center. Ones were wild for Djokovic, who won each set 6-1 in a one hour 11 minute romp to victory for the reigning Australian and Wimbledon champion. "There's something I love about number one, for sure," Djokovic told the crowd in an oncourt interview. Djokovic, who said he is playing with newfound serenity since becoming a father last October, was pleased to have produced such an emphatic opening win. "I lost three games the entire match against a player I never played against before," he said. "It can always be tricky because you're approaching the match without really knowing how he's going to react. "I couldn't ask for a better opening of this year's U.S. Open. Hopefully I can continue in that rhythm." Despite going 56-5 this year, Djokovic said a victory like Monday's can give the nine-times grand slam singles winner a boost. "With a dominant win like the one today, it adds to your confidence, your self-belief," he said. "It's also making a statement for everybody that is out there watching. We are all seeing how each other progresses. "It's important you're out on the court with the right intensity and you're sending a good message, and I've done so." Djokovic will next meet either Canadian Vasek Pospisil or Andreas Haider-Maurer of Austria. (Reporting by Larry Fine; Editing by Mark Lamport-Stokes)