You probably got stuck, right? That's because it's impossible. Explained here!
In 1736, mathematician Leonhard Euler proved there is no solution to this map. This realization invented Graph Theory.
Think of each landmass as a room. If you enter a room by one bridge, you must leave by another. This means bridges must come in pairs.
Since all 4 spots have an ODD number of bridges, the math guarantees you will get stuck.