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The Hang Seng Index rose 0.15 percent, or 42.65 points, to close at 29,338.70, sinking 3.18 percent over the week.
The benchmark Shanghai Composite Index gained 0.49 percent, or 13.95 points, to 2,889.76 but it lost 4.37 percent over the week.
The Shenzhen Composite Index, which tracks stocks on China's second exchange, added 1.21 percent, or 19.06 points, to 1,597.39, shedding 5.57 percent since last Friday's close.