Question: What is the name of the largest high school where John Engen is the mayor of?

Context paragraphs:
Brockton High School: Brockton High School, established in 1870, is a high school located in Brockton, Massachusetts.  It is a part of Brockton Public Schools.  As of 2016 Brockton High School, with 4,250 students, is one of the largest high schools in the United States and the largest high school in Massachusetts.  Although widely stated by locals to be the largest high school East of the Mississippi River, it is in fact false, as this title is currently held by Brooklyn Technical High School in New York City.  Brockton High School's colors are Black & Red and their mascot is the Boxers, which is a reference to the storied boxing history of the city, and also a tribute to hall-of-fame boxers Rocky Marciano and Marvin Hagler, who are both from Brockton and alumni of Brockton High School.

Rolling Meadows High School: Rolling Meadows High School, or RMHS, is a public four-year high school located in Rolling Meadows, Illinois, a northwest suburb of Chicago, Illinois, in the United States.  It is part of Township High School District 214, the second largest high school district in Illinois, after Township High School District 211.  The other five schools include Buffalo Grove High School, Elk Grove High School, John Hersey High School, Prospect High School, and Wheeling High School.  It serves primarily central and east Rolling Meadows (east of Route 53), a significant part of Arlington Heights and a small part of Mount Prospect.  Its feeder schools are South Middle School, Holmes Junior High School, Carl Sandburg Junior High School, and Our Lady of the Wayside, a private Catholic school.

Pinkerton Academy: Pinkerton Academy is a secondary school in Derry, New Hampshire, United States.  It serves roughly 3,100 students, making it by far the largest high school in New Hampshire, more than 800 students greater than the next largest high school.  Pinkerton's situation is unusual, as it is a private school which also serves as the "public" high school (grades 9–12) for the communities of Derry, Hampstead, Chester, Auburn, Candia, and Hooksett.  Through arrangements with the towns, each town pays the tuition for their students to attend Pinkerton.  For the 2014–15 school year, Hooksett students may attend Pinkerton, following the approval of a short-term enrollment agreement by the Hooksett School Board.  Pinkerton Academy is a private, non-profit corporation administered by a headmaster, who in turn acts under the direction of a self-perpetuating board of trustees.

Hellgate High School: Hellgate High School is a Missoula, Montana high school, the largest in the Missoula County Public Schools District.  Hellgate has approximately 1200 students, and a faculty of approximately 100.  It is an AA high school, the classification given to Montana's largest high schools.  It was ranked Montana's fourth-best high school by US News, beating the district's Sentinel, which was sixth, and both Big Sky and Seeley-Swan which were unranked.

Wentzville Holt High School: Wentzville Holt High School (Emil E. Holt Sr.  High School, or simply Holt High School) is the oldest of the three high schools in the Wentzville R-IV School District and second oldest high school in St. Charles County, Missouri.  With a 2014 enrollment of 1,728, Holt is the sixth largest high school in St. Charles County.  Although officially known as Emil E. Holt Senior High School, it was known only as Wentzville High School until 2000, when "Holt" became a common addition to the name in preparation for the addition of a second high school in the district.  Now the school is often referred to as just "Holt" or "Holt High", though the common initials remain WHHS or sometimes still WHS.

C. E. Byrd High School: C. E. Byrd High School, a Blue Ribbon School, is the largest high school in Shreveport, Louisiana.  In continuous operation since 1925, Byrd is also the second largest high school in the state of Louisiana.

Traverse City West Senior High School: Traverse City West Senior High is a public high school in Traverse City, Michigan, located at 5376 N. Long Lake Road.  The principal is Joe Esper who took over the role in December 2014, after Joseph Tibaldi retired.  Tibaldi had been the principal since the school's opening in 1997.  The school was originally built as a solution to the overcrowding at Traverse City Senior High School, which was Michigan's largest high school prior to the split.  In 1997, Traverse City Senior High was split by the school district into two distinct high schools.  The newly constructed Traverse City West Senior High School was opened, while the original high school facility was renamed as Traverse City Central High School.  The name of Traverse City Senior High was discontinued at that time.

Dr. Henry A. Wise, Jr. High School: Dr. Henry A. Wise Jr.  High School (est. 2006) is a public high school which opened in the Fall of 2006.  Wise was constructed to relieve overcrowding in several surrounding high schools, mainly Largo High School (Maryland) and Frederick Douglass High School.  The school was constructed to become the largest high school in the State of Maryland, with a square footage of 434,600 sq. ft. The school also has the distinction of featuring the largest gymnasium of any non-university school in the Baltimore-Washington Metropolitan Area, with a capacity to seat up to 5,000 spectators.  The state-of-the-art gymnasium also features an indoor track.  The school has a total student capacity of 2,600.  The school displaced Northwestern High School, another county school, as the largest high school in Maryland, although it's notable that Northwestern has a higher total student capacity.  Wise hosts a "Technical Academy" signature program.

Nashua High School South: Nashua High School South, formerly Nashua High School, is a public high school located in Nashua, New Hampshire.  The school's current location was erected in 1975 with its first class graduating in June 1976.  The school was remodeled between 2002 and 2004 when a second school, Nashua High School North, was built.  The existing high school building was renamed Nashua High School South.  The school serves approximately 2200 students, making it the largest public high school in New Hampshire, and the second largest high school overall, after the private Pinkerton Academy.

John Engen: John Engen has been mayor of Missoula, Montana, since 2006.  Missoula’s 50th mayor, Engen was born in Missoula in 1964, attended Willard Elementary School, Hellgate High School and The University of Montana, where he earned a bachelor's degree in journalism.

Supporting paragraphs: John Engen Hellgate High School
Answer: Hellgate High School