NEW YORK :The dollar fell across the board on Wednesday after weaker-than-expected U.S. private payrolls numbers highlighted continued easing in the labor market and data showed the U.S. services sector contracted for the first time in about a year in May. U.S. private payrolls rose by only 37,000 jobs in May, far less than expected, after a downwardly revised 60,000 rise in April, the ADP National Employment Report showed on Wednesday. Economists polled by Reuters had forecast private