European and Asian shares mostly gained on Tuesday after U.S. stocks rallied on hopes the Federal Reserve will cut interest rates soon. The futures for the S&P 500 and the Dow Jones Industrial Average slipped 0.1%. Germany’s DAX edged 0.1% lower to 23,216.76 and the CAC 40 in Paris added 0.1% to 7,965.77. Britain’s FTSE 100 likewise gained 0.1%, to 9,542.55. In Asian trading, Tokyo’s Nikkei 225 picked up 0.1% to 48,659.52 as a plunge in technology giant SoftBank’s shares weighed on the market. It fell 10.3% on concerns that returns from its heavy investments in OpenAI may be threatened by the next generation Gemini artificial intelligence model that Google launched last week. In South Korea, the Kospi gained 0.3% to 3,857.78. Taiwan’s Taiex jumped 1.5%. Chinese markets also advanced. In Ho

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