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The main TAIEX index opened at 6,844.3 and was last up 93 points at 6,877.39.
HTC was down 1 percent. It has fallen for three sessions after a surprise cut in its fourth quarter revenue outlook , and took another blow on Friday when a German patent firm said it would move to block HTC sales in Germany .
The Taiwan dollar was up by T$0.03 to trade at T$30.433.