TOKYO (Reuters) - Oil prices steadied on Tuesday as investors kept an eye on U.S. inventory data due later, following two days of gains on positive economic data and hopes for a Washington-Beijing trade deal.Brent crude futures were up 4 cents at $62.17 a barrel at 0330 GMT after gaining 0.7% in the previous session.U.S. crude futures were down 1 cent at $56.53 a barrel. They gained 0.6% on Monday."This is mostly position lightening after an impressive run higher," said Jeffrey Halley, senior..