Question: What's the nearest city to Craigmillar Castle, a ruin used as an arts venue by the Craigmillar Festival Society?

Context paragraphs:
Hillman Center for Performing Arts: The Hillman Center for Performing Arts is a multi-stage performing arts venue on the campus of Shady Side Academy's Senior School in Fox Chapel, a northern suburb of Pittsburgh, Pennsylvania.  Featuring dedicated music and vocal practice spaces, the Richard E. Rauh proscenium theater, and the Peter J. Kountz black box theater, the Hillman Center serves as Shady Side Academy's primary performing arts classroom.  Additionally, undertaking the development of a professional performing arts series in the fall of 2006, the Hillman Center also serves the community as a public performing arts venue, whose programming goal is to feature “The Best of Pittsburgh and the World.”  The Hillman Center's artistic niche strives to support not only Shady Side Academy's curriculum but also the Pittsburgh community.  Featuring traditional offerings (such as symphony and orchestral music, classical dance, and opera) and world music and culture performances, the Hillman Center offers globally diverse arts programming to the regional community.  International performers celebrate the diverse ethnic and national communities of Pittsburgh and help connect the audience to the rest of the world.

Paramount Theatre (Seattle): The Paramount Theatre is a 2,807-seat performing arts venue located at 9th Avenue and Pine Street in Seattle, Washington.  The theater originally opened March 1, 1928 as the Seattle Theatre with 3,000 seats, and was placed on the National Register of Historic Places on October 9, 1974.  It is also an official City of Seattle landmark.  It is owned and operated by the Seattle Theatre Group, a 501(c)(3) not-for-profit performing arts organization, which also runs the 1,419-seat Moore Theatre in Belltown and the Neptune Theatre in the University District.  The Paramount was built expressly for showing film and secondarily, vaudeville.  As of 2009, the Paramount is operated as a performing arts venue, serving a diverse patron base that attends Broadway theatre, concerts, dance, comedy, family engagements, silent film and jazz.  It is considered to be one of the busiest theatres in the region.

Craigmillar Festival Society: The Craigmillar Festival Society (CFS) was a Community Arts organisation that existed in the Craigmillar area of Edinburgh, Scotland from 1962 to 2002.  It is regarded as important contributor to the Community Arts Movement.  Starting in 1967, many of its productions involved Craigmillar Castle.

Chinkultic: Chinkultic, sometimes "Chincultic", is a moderate-size archeological ruin in the state of Chiapas, Mexico, some 56 km from Comitán, the nearest city.  It is part of the Lagunas de Montebello National Park.

Harrow Arts Centre: Harrow Arts Centre (HAC) is a professional arts venue in the London Borough of Harrow.  HAC is located in Hatch End, Harrow, North London, in the Elliott Hall and other buildings that were previously part of the Royal Commercial Travellers School.  It is the only dedicated performing arts venue in the borough and its aim is to provide a journey of a lifetime enjoying the arts for people from every background.

Craigmillar Castle: Craigmillar Castle is a ruined medieval castle in Edinburgh, Scotland.  It is 3 mi south-east of the city centre, on a low hill to the south of the modern suburb of Craigmillar.  The Preston family of Craigmillar, the local feudal barons, began building the castle in the late 14th century and building works continued through the 15th and 16th centuries.  In 1660 the castle was sold to Sir John Gilmour, Lord President of the Court of Session, who made further alterations.  The Gilmours left Craigmillar in the 18th century, and the castle fell into ruin.  It is now in the care of Historic Environment Scotland.

Teyyala: Theyyala is a small town in Malappuram district in Kerala, India.  Theyyala is near the sea with the beach being only 5 km away.  The nearest Railway station is at Tanur which is 4 km away.  The nearest airport is Calicut International Airport, at a distance of 25 km, approximately.  The nearest city is Tirur which is only 9 km away and so is Kottakkal which is famous worldwide for Ayurvedic Treatments.

Nearest neighbour algorithm: The nearest neighbour algorithm was one of the first algorithms used to determine a solution to the travelling salesman problem.  In it, the salesman starts at a random city and repeatedly visits the nearest city until all have been visited.  It quickly yields a short tour, but usually not the optimal one.

Calthorpe, Norfolk: Calthorpe is a small village within the civil parish of Erpingham in the English county of Norfolk, United Kingdom.  The village is located 0.5 mi west of the village of Erpingham, 3.4 mi north of the nearest town of Aylsham and is 15.8 mi north of the nearest city of Norwich.  The nearest railway station is at Gunton for the Bittern Line which runs between Sheringham, Cromer and Norwich and is 7.8 mi from the village.  The nearest airport is Norwich International 14.2 mi south of the village.

Helen Crummy: Helen Crummy MBE (10 May 1920 – 11 July 2011) was a founder of The Craigmillar Festival Society, and served as the Organising Secretary for the group until 1985.

Supporting paragraphs: Craigmillar Festival Society Craigmillar Castle
Answer: Edinburgh