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The Hang Seng Index was down by 0.1 percent, or 21.48 points, to 21,733.26.
But the benchmark Shanghai Composite Index added 0.22 percent, or 6.90 points, to 3,109.14, while the Shenzhen Composite Index, which tracks stocks on China's second exchange, gained 0.29 percent, or 5.66 points, at 1,978.01.