OAKLAND (AP) — LeBron James capped one of his best games of the season in dramatic fashion, making a step-back 3-pointer with less than a second remaining to carry the Miami Heat past the Golden State Warriors 111-110 on Wednesday night and into the All-Star break on a high note.With teammate Dwyane Wade scratched from the lineup with a sore left foot, James shouldered the load for the two-time defending NBA champions. He finished with 36 points, 13 rebounds and nine assists, saving his best moment for last.After fellow All-Star Stephen Curry hit a bank shot to start a three-point play that put the Warriors ahead by two, James let the clock tick down on the other end. He swished a 27-footer over Andre Iguodala with two-tenths of a second left, then patted his chest and high-stepped on the sideline to leave the announced sellout crowd of 19,596 stunned and silent.James shot 14 of 26 from the floor, including several dazzling dunks, and helped the Heat go ahead by 21 points in the third quarter.