What is the relationship of Columbia University to Cornell and of both to New york presbyterian hosp?

Columbia University and Cornell University are both prestigious Ivy League institutions located in New York, with Columbia being situated in Manhattan and Cornell in Ithaca. They are affiliated with NewYork-Presbyterian Hospital, which serves as a primary teaching hospital for both universities. Columbia's Vagelos College of Physicians and Surgeons has a more direct partnership with NewYork-Presbyterian, while Cornell's Weill Cornell Medicine also collaborates closely with the hospital for medical education and research. This relationship enhances the medical training and healthcare services provided by both institutions.