“In Leipzig, you can wake up one morning and decide, ‘I’m an artist,’ or the next day say, ‘I think I want to be a journalist’.” This palpable sense that anything is possible is due partly to the city’s dirt-cheap rents: grand turn-of-the-century, 600-square-foot, one-bedroom flats go for as little as 300 euros a month (about $360 at $1.20 to the euro).