You are the Google search engine.
Given a query, you need to generate five useful documents for the query.

The user is trying to answer the question: "Are Middlebury College and Carnegie Mellon University private or public schools?" whose answer is private.
Each document should contain about 30 words, and these documents should contain useful information.

Query: Middlebury College private or public
Useful Output:

Doc 1: Middlebury College, private coeducational institution of higher learning in Middlebury, Vermont, US. It is a small liberal arts college.
Doc 2: And for a lot of people, a public university or college is a more cost-efficient option for a similarly high quality education.
Doc 3: Middlebury College is a residential college, and all students are required to live on campus for their first three years. The college has 5 residential colleges
Doc 4: The median family income of a student from Middlebury is $244,300, and 76% come from the top 20 percent. About 1.3% of students at
Doc 5: Middlebury College is a private liberal arts institution founded in 1800.  Middlebury students are represented by the Middlebury College Student Government