Question: An American hardcore punk band formed in WAshington DC in 1977 often played at a club in New York City that was the unofficial headquarters of the New York hardcore scene, and was located in what area of Manhattan?

Context paragraphs:
Void (band): Void was an American hardcore punk band formed in Columbia, Maryland, in 1980.  The group was a pioneering force in the thriving D.C. Hardcore scene in Washington D. C. during the early 1980s, successfully combining elements of punk with heavy metal in a style that was accepted by the scene's otherwise exclusive community.  Void's punk-metal fusion sound was marked by guitarist Bubba Dupree's innovative guitar work and the "unhinged" vocals of John Weiffenbach, which resonated in the band's chaotic but popular live performances.  Like many of their contemporaries, Void had a short-lived recording career—limited to the spilt-album, "Faith/Void Split", with the Faith on Dischord Records—however, they have enjoyed an enduring cult following among hardcore aficionados.

Sick of It All: Sick of It All is an American hardcore punk band, formed in 1986 in Queens, New York.  The band's current lineup consists of brothers Lou and Pete Koller on vocals and lead guitar respectively, Craig Setari on bass, and Armand Majidi on drums.  Sick of It All is considered to be a major part of the New York hardcore scene, and has sold half a million records worldwide.

Black Market Baby: Black Market Baby was an American hardcore punk band from Washington, D.C.They are considered one of the seminal groups that created the original hardcore scene in the Washington area, which along with Los Angeles and New York, became the most affluent hardcore scene in America during the early 1980s, considered the high tide of the musical movement.

Warzone (band): Warzone was a New York hardcore punk band formed on the Lower East Side of Manhattan in 1983.  The band helped develop the New York hardcore sound, the hardcore skinhead style and the youth crew subgenre.  During the band's 14 years and many line-up changes, their primarily hardcore sound was flavored by influences ranging from Oi!  (they toured several times with The Business and played a cover of their song "The Real Enemy"), to traditional punk rock, and a heavy metal phase (on their self-titled LP, Warzone).  Their fan base was diverse, with their concerts usually attended by skinheads, straight edge teens, metalheads and punks of all ages.  Vice has written that "one could argued that (Warzone) spearheaded the second and larger wave of hardcore bands that erupted in the NY scene in 1986-1987".

The Suicide File: The Suicide File was an American hardcore punk band from Boston, Massachusetts that formed in April 2001.  The band wrote songs with a mostly political message, although many songs also dealt with social and personal problems.  Most of the band's output was released on the Southern California-based hardcore label Indecision Records.  The band reunited in June 2006 to embark on their first European Tour.  Members of the bands are or have been affiliated with The Hope Conspiracy, Death By Stereo, When Tigers Fight, Adamantium, Give Up the Ghost/American Nightmare, Clouds, Panic and many more.  Most of these are bands with whom Alexander has drummed for short periods of time.  Dave Weinberg was also known for his frequent collaborations and duets with Julie Ecker and James "Boom Boom" Auclair (cf. unpublished correspondence with the artists).  Despite their short tenure, The Suicide File continues to be revered within the hardcore punk community for their musical output and lasting impression on the flourishing Boston hardcore scene.  The band since 2006 has played a small number of successfully sized reunion sets.

A7 (bar): A7 was a club in New York City.  From 1981 to 1984, it was the unofficial headquarters of the New York hardcore scene.  The tiny space was located on the southeast corner of East 7th Street and Avenue A in Manhattan's East Village.  The Violators were one of the first punk bands to play there, performing once a month for over a year.  Other bands that played on the Violators' night included Minor Threat, Social Distortion, SS Decontrol, the Undead and False Prophets.  Many of the NYC Oi!  and hardcore bands would play on the bill, including hardcore icons Bad Brains, and gradually the A7 club turned into a hardcore scene.  The club was staffed by members of the NYHC scene, including Doug Holland of Kraut, Raybeez of Agnostic Front and Warzone, and Jimmy Gestapo of Murphy's Law.  The club operated without a liquor license and was often raided by police.  A warning spray-painted on the outside of the building read: "Out of town bands remember where you are".

Subzero (band): Subzero is a New York-based punk metal band that was formed in 1989.  The band was created by Rich Kennon of NYHC band Breakdown and Jim Eaton of the New York-based straight edge band Up Front.  After hooking up with singer Lou Di Bella and bassist Larry Susi who had played in various local bands in the New York area together, Subzero was finalized.  Subzero is one of the longest active bands in the New York hardcore scene, despite a period of inactivity in the late 1990s due to singer Lou Di Bella's bout with Acute lymphoblastic leukemia.  He claims his harrowing experiences while in the hospital and numerous brushes with death have made him into a stronger person, evidenced by the lyrics to "Lionhearted", as well as a tongue-in-cheek tattoo across his sternum reading "Cancer Killah".  Subzero have toured the world many times over as headliners and as a support group under national acts as well.  They've shared the stages with an array of prominent acts such as Slayer, Hatebreed, Megadeth, Motörhead, The Misfits, Sick of It All, Rancid, Cro-Mags, Killswitch Engage, Napalm Death, Iron Maiden, Cannibal Corpse, Eminem and others.  They've headlined every major club in Japan, played all the major festivals in Europe.  They were one of the first 5 American hardcore bands to ever tour Japan to sold out audiences.  Subzero retains their underground ethics and frequently play small clubs, basements and dive bars.

New York hardcore: New York hardcore (NYHC) is hardcore punk music created in New York City, and the subculture associated with that music.  New York hardcore grew out of the hardcore scene established in Washington, D.C., by bands such as Bad Brains and Minor Threat.  It was primarily a phenomenon of the 1980s and 1990s.

Agnostic Front: Agnostic Front is an American hardcore punk band, pioneer of the crossover thrash genre, formed in 1980.  The band began playing hardcore punk similar to their contemporaries, and were thrust to the forefront of the burgeoning New York hardcore scene in the mid-1980s with their widely regarded 1984 classic "Victim in Pain" before incorporating thrash metal elements into their music.

Bad Brains: Bad Brains are an American hardcore punk band formed in Washington, D.C., in 1977.  They are widely regarded as among the pioneers of hardcore punk, though the band's members have objected to this term to describe their music.  They are also an adept reggae band, while later recordings featured elements of other genres like funk, heavy metal, hip hop and soul.  Bad Brains are followers of the Rastafari movement.

Supporting paragraphs: A7 (bar) Bad Brains
Answer: East Village