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Canada's benchmark S&P/TSX slid on weakness in the technology sector, dropping 56.59 points, or 0.74%, to 7,599.54.
Markets in London were closed Monday in observance of the Queen's Jubilee. On May 31, the FTSE gained 44.30 points, or 0.88%, to 5,085.10.
In France, the CAC 40 finished down 47.49 points, or 1.11%, to 4,227.15, as the French purchasing managers index rose to 52.8 in May from 51.7 in April.
In Germany, the DAX Index ended down 70.35 points, 1.46%, to 4,747.95, as the German May purchasing managers index rose to 49.7 from 49.1 in April.
Asian markets ended with gains. In Japan, the Nikkei 225 index rose 137.69 points, or 1.17%, to close at 11,901.39. In Hong Kong, the Hang Seng index climbed 57.86 points, or 0.51%, to close at 11,359.80.