Of  Center for Advanced Studies in Engineering and University of Idaho which, if either, is a public university?
University of Idaho The University of Idaho (officially abbreviated UI, locally referred to as "the U of I") is the U.S. state of Idaho's oldest public university, located in the city of Moscow in Latah County in the northern portion of the state. It is the state's flagship, land-grant and primary research university. The University of Idaho was the state's sole university for 71 years, until 1963, and its College of Law, established in 1909, was first accredited by the American Bar Association in 1925.
Indiana University Indiana University (IU) is a multi-campus public university system in the state of Indiana, United States. Indiana University has a combined student body of more than 110,000 students, including approximately 46,000 students enrolled at the Indiana University Bloomington campus and approximately 31,000 students enrolled at the Indiana University – Purdue University Indianapolis (IUPUI) campus.