question: which series directed by South Korean filmmaker Park Chan-wook is Lady Vengeance third installment
answer: The Vengeance Trilogy
context: Title: Stoker (film)
  Passage: Stoker is a 2013 British-American psychological thriller-drama film written by Wentworth Miller and directed by South Korean filmmaker Park Chan-wook in his English-language debut.  It stars Mia Wasikowska, Matthew Goode, and Nicole Kidman, and was released on 1 March 2013.  The film is dedicated to producer Tony Scott, who died after production.
  Title: Bae Doona
  Passage: Bae Doo-na (; ] ; born October 11, 1979) is a South Korean actress and photographer.  She first became known outside Korea for her roles as a political activist in Park Chan-wook's "Sympathy for Mr. Vengeance" (2002), archer Park Nam-joo in Bong Joon-ho's "The Host" (2006), and as an inflatable sex doll-come-to-life in Hirokazu Koreeda's "Air Doll" (2009).  She has had English-speaking roles in the Wachowski films "Cloud Atlas" (2012) and "Jupiter Ascending" (2015), and the TV series "Sense8" (2015-present).
  Title: Thirst (2009 film)
  Passage: Thirst (Korean: 박쥐; Bakjwi ; literally: "Bat") is a 2009 South Korean horror film written, produced and directed by Park Chan-wook.  It is loosely based on the novel "Thérèse Raquin" by Émile Zola.  The film tells the story of a Catholic priest—who is in love with his friend’s wife—turning into a vampire through a failed medical experiment.  Park has stated, "This film was originally called 'The Bat' to convey a sense of horror.  After all, it is about vampires.  But it is also more than that.  It is about passion and a love triangle.  I feel that it is unique because it is not just a thriller, and not merely a horror film, but an illicit love story as well."  The film won the Jury Prize at the 2009 Cannes Film Festival.  It is the first mainstream Korean film to feature full-frontal male nudity.
  Title: Lee Young-ae
  Passage: Lee Young-ae (born January 31, 1971) is a South Korean actress.  She is known for her appearances in the Korean historical drama "Dae Jang Geum" (2003), and as a revenge seeking single mother in Park Chan-wook's crime thriller film "Sympathy for Lady Vengeance" (2005).
  Title: Oldboy (2003 film)
  Passage: Oldboy (Hangul: 올드보이 ; RR: "Oldeuboi "; MR: "Oldŭboi " ) is a 2003 South Korean mystery thriller neo-noir film directed by Park Chan-wook.  It is based on the Japanese manga of the same name written by Nobuaki Minegishi and Garon Tsuchiya.  "Oldboy" is the second installment of "The Vengeance Trilogy", preceded by "Sympathy for Mr. Vengeance" and followed by "Sympathy for Lady Vengeance".
  Title: The Vengeance Trilogy
  Passage: The Vengeance Trilogy (Korean: 복수 삼부작 ) is a series of three films, "Sympathy for Mr. Vengeance" (2002), "Oldboy" (2003), and "Lady Vengeance" (2005), directed by South Korean filmmaker Park Chan-wook.  Each deals with the themes of revenge, violence, and salvation.  The films are not narratively connected and were dubbed a trilogy by international critics because of their thematic links.
  Title: Sympathy for Mr. Vengeance
  Passage: Sympathy for Mr. Vengeance (; lit.  "Vengeance Is Mine") is a 2002 South Korean thriller film directed by Park Chan-wook which follows the character Ryu trying to earn enough money for his sister's kidney transplant and the path of vengeance that follows.  It is the first part of "The Vengeance Trilogy" and is followed by "Oldboy" (2003) and "Lady Vengeance" (2005).
  Title: Lady Vengeance
  Passage: Lady Vengeance (; lit.  "Kind-hearted Geum-ja"; Korean English title: Sympathy for Lady Vengeance) is a 2005 South Korean psychological thriller film by director Park Chan-wook.  The film is the third installment in Park's "The Vengeance Trilogy", following "Sympathy for Mr. Vengeance" (2002) and "Oldboy" (2003).  It stars Lee Young-ae as Lee Geum-ja, a woman released from prison after serving the sentence for a murder she did not commit.  The film tells her story of revenge against the real murderer.
  Title: Park Kwang-su
  Passage: Park Kwang-su (born January 22, 1955) is a South Korean filmmaker.  He was born in Sokcho, Gangwon Province and grew up in Busan.  Park joined the Yallasung Film Group as a student of Fine Arts at Seoul National University.  Upon graduation, he founded and led the Seoul Film Group which was dedicated to renewing Korean film culture and closely tied to the student protest movement.  The Seoul Film Group was a significant part of the independent film movement and a strong voice speaking out against the military dictatorship.  Park studied film at the ESEC film school in Paris, then returned to Korea to work as an assistant director to Lee Chang-Ho.  He made his own first feature in 1988, and in 1993 became the first Korean filmmaker to found his own production company.
  Title: Park Chan-wook
  Passage: Park Chan-wook ( ] ; born August 23, 1963) is a South Korean film director, screenwriter, producer, and former film critic.  One of the most acclaimed and popular filmmakers in his native country, Park is most known for his films "Joint Security Area", "Thirst" and what has become known as "The Vengeance Trilogy", consisting of 2002's "Sympathy for Mr. Vengeance", 2003's "Oldboy" and 2005's "Lady Vengeance".  His films are noted for their immaculate framing, black humor and often brutal subject matter.
citations: The Vengeance Trilogy Lady Vengeance