79: "Roar vs. "Brave"

The year is 2013, and a plucky little songwriter named Sara Bareilles has written a warm little empowerment anthem called "Brave." And then a few months later a mega-pop star named Katy Perry has released her next big blockbuster single, "Roar." And they sound exactly the same. Which one is the better single? Are there any differences at all? And is either of them any good?