A door closer on a door allows the door to close by itself, as shown in the figure. The door closer consists of a return spring attached to an oil-filled damping piston. As the spring pulls the piston to the right, teeth on the piston rod engage a gear, which rotates and causes the door to close. Should the system be underdamped, critically damped, or overdamped for the best performance (where the door closes quickly without slamming into the frame)?

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