Question: Of  Center for Advanced Studies in Engineering and University of Idaho which, if either, is a public university?

full_context: Document 1: University of Alabama: The University of Alabama (Alabama or UA) is a public research university located in Tuscaloosa, Alabama, United States, and the flagship of the University of Alabama System. Founded in 1820, UA is the oldest and largest of the public universities in Alabama. UA offers programs of study in 13 academic divisions leading to bachelor's, master's, Education Specialist, and doctoral degrees. The only publicly supported law school in the state is at UA. Other academic programs unavailable elsewhere in Alabama include doctoral programs in anthropology, communication and information sciences, metallurgical engineering, music, Romance languages, and social work.
Document 2: University of Engineering and Technology, Lahore: The University of Engineering and Technology Lahore (Urdu: ‎ , abbreviated as UET Lahore) is a public research university located in Lahore, Punjab, Pakistan specialising in STEM subjects.
Document 3: Boise State University: Boise State University (BSU) is a public college in Boise, Idaho. Founded in 1932 by the Episcopal Church, it became an independent junior college in 1934, and has been awarding baccalaureate and master's degrees since 1965.
Document 4: University of Engineering and Technology, Taxila: University of Engineering and Technology, Taxila, or UET Taxila (Urdu: ‎ ) is located in Taxila, Punjab, Pakistan. It was established in 1975 as a campus of the University of Engineering and Technology, Lahore and chartered as an independent university in 1993, offering Bachelor, Master, and Doctoral degrees in Engineering.
Document 5: MVGR College of Engineering: Currently the college has 11 academic departments covering Undergraduate programs(B.Tech) in Chemical Engineering, Computer Science, Electronics and Communications Engineering, Electrical and Electronics Engineering, Information Technology, Mechanical Engineering, Civil Engineering and Postgraduate programs(M.Tech) in Product Design and Manufacturing, VLSI,Communication Engineering, Data Science, CNIS, Power Systems, Structural Engineering and Management.
Document 6: COPPE: The Alberto Luiz Coimbra Institute for Graduate Studies and Research in Engineering (Portuguese: "Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa em Engenharia"), often referred to as Coppe due to its original name (Coordenação dos Programas de Pós-Graduação e Pesquisa de Engenharia), is a research and learning center in the Center of Technology (CT) of the Federal University of Rio de Janeiro (UFRJ). It has over 2,500 students in its 13 graduate engineering programs (Master's and Doctorate).
Document 7: Pokhara Engineering College: Pokhara Engineering College (PEC) is a technical institute established in 1999 CE in Pokhara, Nepal. It has been promoting engineering and developing career of students for several year. It offers education in different levels and programs. Its diploma programs (sub- overseer and I.E.) run under the affliction of CTEVT and its B.E and Master run under the affiliation of Pokhara University.
Document 8: 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.
Document 9: University of Vermont: The University of Vermont (UVM), officially The University of Vermont and State Agricultural College, is a public research university and, since 1862, the sole land-grant university in the U.S. state of Vermont. Founded in 1791, UVM is among the oldest universities in the United States and is the fifth institution of higher education established in the New England region of the U.S. northeast. It is also listed as one of the original eight "Public Ivy" institutions in the United States.
Document 10: University of Iowa: The University of Iowa (also known as the UI, U of I, UIowa, or simply Iowa) is a flagship public research university in Iowa City, Iowa. Founded in 1847, it is the oldest university in the state. Iowa is the second largest university in the state of Iowa, behind Iowa State University. University of Iowa is organized into eleven colleges offering more than 200 areas of study and seven professional degrees.
Document 11: College of Idaho: The College of Idaho is a private, residential liberal arts college in the western United States located in Caldwell, Idaho. Founded in 1891, it is the state's oldest private liberal arts college, with an enrollment of 1,140 students.
Document 12: Center for Advanced Studies in Engineering: The Center for Advanced Studies In Engineering (CASE), is a private research college located in the suburb of Islamabad, Pakistan. CASE is affiliated with the University of Engineering and Technology, Taxila. It offers post-graduate and doctorate programs in Computer Engineering, Electrical Engineering, Telecommunication, Software Engineering, and Engineering Management. The B.Sc program in Electrical Engineering is accredited by the Pakistan Engineering Council and has two variants: Telecommunication Engineering and Computer Engineering. CASE offers a BBA program and PDP programs under advance Engineering Management Department.
Document 13: University of Montana: The University of Montana (often simply referred to as UM) is a public research university in Missoula, Montana, in the United States. Founded in 1893, the university is the second largest of the Montana University System, second to Montana State University, and the flagship campus of the University of Montana System. The main campus is at the foot of Mount Sentinel, the hill bearing Missoula's most recognizable landmark, a large hillside letter "M."
Document 14: Wayne State University College of Engineering: The Wayne State University College of Engineering is responsible for all engineering related programs at Wayne State University. With alumni of the college totaling over 25,000, it is one of the premier engineering colleges in Michigan along with being in the top 30% of the country. Founded in 1933, the College of Engineering has grown to include a variety of programs ranging from civil engineering, biomedical engineering, and many others. It is one of only 24 PACE partner labs in the country as well as being a leader in biomedical engineering. The College of Engineering is located in the Wayne State campus in Detroit. It is located in the College of Engineering building which is shared with the Danto Engineering Development Center. The current Dean of Engineering is Dr. Farshad Fotouhi.
Document 15: List of engineering schools: Engineering education at the higher education level includes both undergraduate and graduate levels. Schools which provide such education are typically part of a university, institute of technology, or polytechnic institute. Such scholastic divisions for engineering are generally referred to by several different names, the most common being College of Engineering or School of Engineering, and typically consist of several departments, each of which has its own faculty and teaches a certain branch of engineering. Students frequently specialize in specific branches of engineering, such as mechanical engineering, electrical engineering, chemical engineering, or civil engineering, or others.
ground_truth: University of Idaho