Nearly all of New York City public housing developments should have power restored within the next three days, Mayor Michael Bloomberg said Monday. he New York City Housing Authority, the largest public housing agency in North America, has 114 buildings — housing 21,000 people — that do not have power as of Monday afternoon, the mayor said. There are also 174 buildings, housing 35,000 people, that do not have heat or hot water, he said. “Over the next two or three days, our goal is to restore electricity to nearly all developments where it’s feasible and to restore heat and hot water to about two-thirds of the developments that currently are without them,” Bloomberg said during an afternoon briefing. According to the mayor, 115,000 customers citywide do not have electricity. And while the utilities are making significant progress, he said, the problem is dire because of the plunging temperatures and the possibility of a storm mid-week bringing heavy rain and high winds to the region.