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.
Virginia Tech Virginia Polytechnic Institute and State University, popularly known as Virginia Tech, is a public, land-grant, research university with a main campus in Blacksburg, Virginia, educational facilities in six regions statewide, and a study-abroad site in Switzerland. Through its Corps of Cadets ROTC program, Virginia Tech is also designated as one of six senior military colleges in the country.