Question: Which faith is designated to the University of Providence, private university accredited by the NW association of Schools and Colleges and located in a third largest city in Montana after being passed by Missoula? 

full_context: Document 1: Ave Maria University: Ave Maria University (AMU) is a private Catholic university in Southwest Florida, United States, founded in 2003. The university moved to its permanent campus, situated in the planned town of Ave Maria, 17 mi east of Naples, Florida, in August 2007. Ave Maria University shares its history with the former Ave Maria College in Ypsilanti, Michigan, which was founded in 1998 and closed in 2007. The school was founded by Tom Monaghan, the founder of Domino's Pizza.
Document 2: Glacier Country, Montana: Glacier Country, Montana is a tourism region in the U.S state of Montana. Glacier Country includes the cities of Missoula, Kalispell, Polson, Libby, Whitefish, Browning, Montana, Eureka, Montana and Thompson Falls. Glacier Country is home to Glacier National Park, and Montana's 2nd largest city- Missoula, Montana. The 2015 population of Glacier Country is 332,702.
Document 3: Flathead County, Montana: Flathead County is a county located in the U.S. state of Montana. As of the 2010 census, the population was 90,928, making it the fourth-most populous county in Montana. Its county seat is Kalispell. The numerical designation for Flathead County (used in the issuance of license plates) is 7. It is south from the Canada–US border of British Columbia.
Document 4: Pontifical Catholic University of Puerto Rico: The Pontifical Catholic University of Puerto Rico is a Roman Catholic university located in Ponce, Puerto Rico. It provides courses leading to Bachelor's, Master's and Doctorate degrees in the areas of education, business administration, science, and arts and human studies. The University is also home to a Law School, and in August 2010 it inaugurated a School of Architecture in downtown Ponce. The university's original name (Catholic University of Santa Maria) was changed in 1950 to Catholic University of Puerto Rico with the graduation of its first class. On January 25, 1991, the name was again changed to its current name, after Pope John Paul II bestowed the title of pontifical.
Document 5: Regis University: Regis University, formerly known as Regis College, is a private, co-educational Roman Catholic, Jesuit university in Denver, Colorado. Regis College was founded by the Society of Jesus in 1877. It is one of 28 member institutions of the Association of Jesuit Colleges and Universities. Regis is divided into five colleges: Regis College, The Rueckert-Hartman College for Health Professions, the College of Contemporary Liberal Studies, the College of Computer and Information Sciences and the College of Business and Economics. The university is accredited by the North Central Association of Colleges and Secondary Schools. In 2013, the Regis University web site stated that it had obtained a top tier ranking as one of the best colleges and universities in the United States in the western region for 22 consecutive years by U.S. News & World Report.
Document 6: Vaughn, Montana: Vaughn is a census-designated place (CDP) in Cascade County, Montana, United States. The population was 658 at the 2010 census. It is part of the Great Falls, Montana Metropolitan Statistical Area. It is named for Montana pioneer Robert Vaughn, whose homestead on the Vaughn Ranch encompassed part of the town.
Document 7: Missoula Metropolitan Area: The Missoula Metropolitan Statistical Area is located in the West-central portion of the state, the 2015 United States Census Bureau put its population at 114,181 making it the 2nd largest metropolitan statistical area in Montana and the 321st largest in the nation between Cleveland, TN and Mount Vernon, WA. As of July 1, 2011 Census estimates put the Missoula Metropolitan Area population at 110,138 making it only the second Metropolitan area in Montana to surpass 110,000 people.
Document 8: University of Providence: The University of Providence (UP) (renamed from University of Great Falls in July 2017), is a private Roman Catholic university located in Great Falls, Montana within the Diocese of Great Falls–Billings. The university is accredited by the Northwest Association of Schools and Colleges. The University's mission "is to provide students with the opportunity to obtain a liberal education for living and for making a living."
Document 9: Missoula, Montana: Missoula is a city in the U.S. state of Montana and is the county seat of Missoula County. It is located along the Clark Fork River near its confluences with the Bitterroot and Blackfoot Rivers in western Montana and at the convergence of five mountain ranges, thus is often described as the "hub of five valleys". In 2016 , the United States Census Bureau estimated the city's population at 72,364 and the population of the Missoula Metropolitan Area at 116,130. In the 1990s, Missoula overtook GreatFalls as Montana’s second‑largest city, behind Billings. Missoula is home to the University of Montana, a public research university.
Document 10: University of Detroit Mercy: University of Detroit Mercy ("Detroit Mercy") is a private, Roman Catholic co-educational university in Detroit, Michigan, United States, sponsored by both the Society of Jesus (the Jesuits) and the Religious Sisters of Mercy. Antoine M. Garibaldi, Ph.D., is the president. Founded in 1877, it is the largest Roman Catholic university in Michigan. It has three campuses, where it offers more than a hundred academic degrees and programs of study in liberal arts, clinical psychology, business, dentistry, education, law, engineering, architecture, nursing and allied health professions.
Document 11: Bozeman, Montana: Bozeman is a city in and the county seat of Gallatin County, Montana, United States, in the southwestern part of the state. The 2010 census put Bozeman's population at 37,280 and by 2016 the population rose to 45,250, making it the fourth largest city in the state. It is the principal city of the Bozeman, MT Micropolitan Statistical Area, consisting of all of Gallatin County with a population of 97,304. It is the largest Micropolitan Statistical Area in Montana and is the third largest of all of Montana’s statistical areas.
Document 12: Great Falls, Montana: Great Falls is a city in and the county seat of Cascade County, Montana, United States. The 2015 census estimate put the population at 59,638. The population was 58,505 at the 2010 census. It is the principal city of the Great Falls, Montana Metropolitan Statistical Area, which encompasses all of Cascade County and has a population of 82,278. Great Falls was the largest city in Montana from 1950 to 1970, when Billings surpassed it. Great Falls remained the second largest city in Montana until 2000, when it was passed by Missoula. Since then Great Falls has been the third largest city in the state.
Document 13: University of Montana Western: The University of Montana Western (UMW) is a public university located in Dillon, Montana, United States. It is affiliated with The University of Montana and is part of the Montana University System. The school was founded in 1893 as Montana State Normal School. The college was founded as a center for training teachers. It was formerly known as Western Montana College before becoming part of the Montana University System in 2000. Enrollment as of Fall 2016 was 1,501 students.
Document 14: 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 15: Marymount California University: Marymount California University is an independent, Catholic, coeducational university offering associate, bachelor's, and graduate degrees. Based in the liberal arts tradition and inspired by the Religious of the Sacred Heart of Mary (RHSM), students are encouraged to pursue lives of leadership and service. With campuses situated directly on the picturesque Southern California coastline in Rancho Palos Verdes, California, in the historic arts district of San Pedro and in the rural Northern California, the institution is accredited by the Western Association of Schools and Colleges.
ground_truth: Roman Catholic