Name the Ayurvedic system of medicine that focuses on prevention and healthy living.

The Ayurvedic system of medicine, which is the correct answer, emphasizes prevention and healthy living through a holistic understanding of the individual. Ayurveda takes into account not only physical health but also mental and spiritual well-being, integrating lifestyle practices such as diet, exercise, and meditation. Its fundamental principles are based on maintaining balance among the body's three doshas (Vata, Pitta, and Kapha), which are believed to govern various physiological and psychological functions.

Ayurveda promotes a proactive approach to health that focuses on nurturing the body and mind through natural means, fostering resilience against disease rather than solely treating symptoms once they arise. This preventive focus is reflected in Ayurvedic practices that encourage personalized diets, herbal remedies, daily routines, and seasonal regimens tailored to individual constitution and health status.

While the other options present different approaches to health, they do not share the same comprehensive preventive philosophy inherent to Ayurveda. Allopathy primarily focuses on treating illnesses with medications and surgeries, Naturopathy emphasizes the body's innate ability to heal through natural therapies but lacks the extensive lifestyle integration of Ayurveda, and Homeopathy relies on the principle of treating "like with like" using highly diluted substances without the same preventive emphasis found in Ayurveda.