Question: Which director, Jacques Demy or Jack Clayton, appeared in the wake of the French New Wave alongside contemporaries like Jean-Luc Godard and François Truffaut?

Context paragraphs:
Jack Clayton: Jack Clayton (1 March 1921 – 26 February 1995) was a British film director and producer, who specialised in bringing literary works to the screen.

Breathless (1983 film): Breathless is a 1983 American drama film directed by Jim McBride and written by McBride and L. M. Kit Carson, starring Richard Gere and Valérie Kaprisky.  It is a remake of the 1960 French film directed by Jean-Luc Godard and written by Jean-Luc Godard and François Truffaut, "À bout de souffle" (known as "Breathless" in English) and was released in France under the title A Bout de Souffle Made in USA.  The original film is about an American girl and a French criminal in Paris.  The remake is about a French girl and an American criminal in Los Angeles.

Jean-Pierre Léaud: Jean-Pierre Léaud, ComM (] ; born 28 May 1944) is a French actor, best known for playing Antoine Doinel in François Truffaut's series of films about that character, beginning with "The 400 Blows" in 1959.  He also worked several times with Jean-Luc Godard, and is a notable figure of the French New Wave.

Les Mistons: Les Mistons ("The Mischief Makers") is a short film directed by François Truffaut in 1957.  It was his second film after "Une Visite" in 1955 but it is considered his "first short film of any real consequence".  Truffaut simply called it "my first real film".  Moreover, it was Bernadette Lafont's film debut.  She was at that time Gérard Blain's wife.  The film demonstrates already some examples for Truffaut's "trademark tracking shots" and would "help define his style" as well as "set Truffaut on a path for his career".  Truffaut's narrative stresses the details of life, hereby establishing one of the traits of the French New Wave.  Thus he also became a predecessor of French film directors such as Jean-Pierre Jeunet ("Amélie").  It has been stated that the formation of the French New Wave could be "tracked through two short films": Jean-Luc Godard's "All the Boys Are Called Patrick" and Truffaut's "Les Mistons".  In 2013 the Museum of Modern Art in New York City screened this film together with Truffaut's "The 400 Blows".

Jacques Rivette filmography: Jacques Rivette (] ; 1 March 1928 – 29 January 2016) was a French film director, screenwriter and film critic.  He wrote and directed twenty feature films, including the two-part "Joan the Maiden", eight short films and a three-part television documentary.  He also acted in small roles and participated in documentaries.  After making his first short film, "Aux quatre coins", in his hometown of Rouen, Rivette moved to Paris in 1949 to pursue a career in filmmaking.  While attending film screenings at Henri Langlois' Cinémathèque Française and other ciné-clubs he gradually befriended many future members of the French New Wave, including François Truffaut, Jean-Luc Godard, Éric Rohmer and Claude Chabrol.  Rivette's association with this group of young cinephiles lead to the start of both his filmmaking career and his work in film criticism.  In collaboration with his new friends, Rivette made two more short films and worked as a cinematographer and editor on films by Rohmer and Truffaut.  He also worked in small roles and as an assistant director to Jean Renoir on "French Cancan" and Jacques Becker on "Ali Baba and the Forty Thieves".  During this period he began writing film criticism for the magazine "Gazette du Cinéma" and later "Cahiers du Cinéma", and was one of the most respected writers by his peers.

Jacques Demy: Jacques Demy (] ; 5 June 1931 – 27 October 1990) was a French director, lyricist, and screenwriter.  He appeared in the wake of the French New Wave alongside contemporaries like Jean-Luc Godard and François Truffaut.  Demy's films are celebrated for their sumptuous visual style.  Demy's style drew upon such diverse sources as Classic Hollywood musicals, the documentary realism of his New Wave colleagues, fairy-tales, jazz, Japanese manga, and the opera.  His films contain overlapping continuity (i.e., characters cross over from film to film), lush musical scores (typically composed by Michel Legrand) and motifs like teenaged love, labor rights, incest, and the intersection between dreams and reality.  He is best known for the two musicals he directed in the mid-1960s: "The Umbrellas of Cherbourg" (1964) and "The Young Girls of Rochefort" (1967).

Weekend (1967 film): Weekend (French: Week-end ) is a 1967 black comedy film written and directed by Jean-Luc Godard and starring Mireille Darc and Jean Yanne, both of whom were mainstream French TV stars.  Jean-Pierre Léaud, iconic comic star of numerous French New Wave films including Truffaut's "Les Quatre Cent Coups" ("The Four Hundred Blows") and Godard's earlier "Masculin, féminin", also appears in two roles.  Raoul Coutard served as cinematographer; "Weekend" would be his last collaboration with Godard for over a decade.

9th Berlin International Film Festival: The 9th annual Berlin International Film Festival was held from 26 June – 7 July 1959.  The festival welcome cinematic movement known as the New Wave and screening the work of directors such as Jean-Luc Godard, Agnès Varda and François Truffaut.  The Golden Bear was awarded to the French film "Les Cousins" directed by Claude Chabrol.

Claude Chabrol: Claude Henri Jean Chabrol (] ; 24 June 1930 – 12 September 2010) was a French film director and a member of the French New Wave ("nouvelle vague") group of filmmakers who first came to prominence at the end of the 1950s.  Like his colleagues and contemporaries Jean-Luc Godard, François Truffaut, Éric Rohmer and Jacques Rivette, Chabrol was a critic for the influential film magazine "Cahiers du cinéma" before beginning his career as a film maker.

Raoul Coutard: Raoul Coutard (16 September 1924 – 8 November 2016) was a French cinematographer.  He is best known for his connection with the Nouvelle Vague period and particularly for his work with director Jean-Luc Godard.  Coutard also shot films for New Wave director François Truffaut as well as Jacques Demy, a contemporary frequently associated with the movement.

Supporting paragraphs: Jacques Demy Jack Clayton
Answer: Jacques Demy