Deciding where to live and work is harder than you realize: according to a study last year, some of the cities with the best records of social mobility are also the least affordable.

Harvard economist Raj Chetty and a team of economists did a one-of-a-kind study in 2013 on intergenerational mobility, the odds that low-income households can work their way into the middle class and beyond. Dayton, Ohio is the most affordable housing market in the U.S., but Dayton and other Ohio cities account for some of the worst cities for upward mobility. San Francisco-San Jose has a better record of social mobility in the region, but is the least affordable place to live.

The Atlantic writes:

The Dayton-SF dilemma isn’t about Ohio vs. California. It’s about a broader dilemma for young workers and, in particular, young couples looking to buy a home, raise children, and achieve the American Dream. …When good jobs for the middle class and affordable homes are living in different cities, it represents a slow-motion splintering of the American Dream.

Luckily for us, Minneapolis is one of three cities in the U.S. with at least 50 percent of houses affordable to middle-class Millennials and a top-10 finish in Chetty’s mobility calculations. That there are just three is a huge problem.

While other cities try to once again meld an affordable housing market with social mobility to counter the splintering of the American Dream, the Atlantic has some advice for Millennials: Check out Pittsburgh, Minneapolis, and Salt Lake City.