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But seven-time world champion Stephen Hendry lost at the first hurdle, going down 5-4 to Flintshire's Ricky Walden .
BBC: O'Sullivan progresses in Shanghai
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Ronnie O'Sullivan will face either Ian McCulloch or Ricky Walden, while Stephen Hendry will find himself up against Robert Milkins or Dave Harold.
BBC: SPORT | Other Sport... | Snooker | Murphy buoyed by snooker talent
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Irishman Michael Judge prevented former world champion Mark Williams from making it into the next round following a 4-2 win over Ricky Walden.
BBC: Hendry has won the most ranking titles - 36
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But Irishman Ken Doherty kissed goodbye to his hopes after losing 4-3 to Ian McCulloch, a third loss which left him propping up the six-player group headed by unbeaten Ricky Walden.
BBC: CHOOSE A SPORT
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But the most emphatic victory of the afternoon session came from Gerard Greene, who reached the fifth quarter-final of his career with a 5-0 whitewash of Ricky Walden, which he rounded off with breaks of 101 and 91.
BBC: CHOOSE A SPORT
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Tuesday's final day of qualifying also sees 18-year-old Zhang, who has already won three qualifying matches, take on Ricky Walden, Jamie Cope face Mark Joyce and Stephen Lee, currently bailed following an investigation into suspicious betting patterns, playing Mike Dunn.
BBC: Steve Davis wins qualifier for World Championship
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Burnett's presence in the final means that for the fourth year running, one of the finalists in Shanghai will come from outside the world's top 16, keeping up the pattern established by Dominic Dale (2007), Ricky Walden (2008) and Liang Wenbo (2009).
BBC: Carter to take on Burnett in Shanghai Masters final