[ Connectivity and Decomposition into Connected Components]

Between nine planets of the Solar System, space communication has been established. Rockets fly along the following routes: Earth - Mercury, Pluto - Venus, Earth - Pluto, Pluto - Mercury, Mercury - Venus, Uranus - Neptune, Neptune - Saturn, Saturn - Jupiter, Jupiter - Mars, and Mars - Uranus. Can you get from Earth to Mars?
Let's draw a diagram: the planets will correspond to points, and the routes connecting them will be non-intersecting lines.
![](https://cdn.mathpix.com/cropped/2024_05_06_fee37b59e268953b86a9g-02.jpg?height=354&width=1380&top_left_y=2061&top_left_x=340)

Now it is clear that it is impossible to fly from Earth to Mars.

## Answer

It is impossible.