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Tokyo shares rose Tuesday as banks rallied and a weaker yen lifted exporters, including auto giants Toyota and Honda. The dollar rose against the yen as upbeat US manufacturing data boosted bets that the world’s largest economy was strong enough to absorb an interest rate hike. In Asian afternoon trading, the greenback fetched 102.23 yen up from 101.63 yen in New York Monday. A weaker yen boosts the profitability of Japan’s exporting firms by making their goods cheaper. “Overall, the US economy appears to be on a growth track,” Mitsuo Shimizu, deputy general manager at Japan Asia Securities Group, told Bloomberg News.