WASHINGTON — The government limped into a third day of partial shutdown today with no sign of a way out after a White House conversation between President Barack Obama and top congressional leaders seemed only to harden the stances of Democrats and Republicans. “The president remains hopeful that common sense will prevail,” the White House said in a written statement after the unproductive meeting about the political standoff that has idled 800,000 federal workers and halted an array of services …