Two stars, Star X and Star Y, are initially at rest in an isolated region of space. The mass of Star Y is twice the mass of Star X. The stars interact with each other only through their mutual gravitational attraction and begin to move until they collide. Let \( d_X \) be the distance Star X travels and \( d_Y \) be the distance Star Y travels before the collision. Which row in the table correctly describes the motion of the center of mass of the two-star system and the ratio of the distances \( \dfrac{d_X}{d_Y} \)?

| Row | Motion of the Center of Mass | Ratio \( \dfrac{d_X}{d_Y} \) |
| :--- | :--- | :--- |