Question: Which year marked the death of the Japanese film director Kenji Mizoguchi, and the birth of Marc Caro, the French filmmaker?

Context paragraphs:
Kenji Mizoguchi: The Life of a Film Director: Kenji Mizoguchi: The Life of a Film Director (ある映画監督の生涯 溝口健二の記録 , Aru eiga-kantoku no shōgai ) is a 1975 Japanese documentary film on the life and works of director Kenji Mizoguchi, directed by Kaneto Shindo.

Street of Shame: Street of Shame (赤線地帯 , "Akasen chitai" ) is a 1956 black-and-white Japanese film directed by Kenji Mizoguchi.  It is the personal tales of several Japanese women of different backgrounds who work together in a brothel.  It was Mizoguchi's last film.

Utamaro and His Five Women: Utamaro and His Five Women or Five Women Around Utamaro (Japanese: 歌麿をめぐる五人の女 , Hepburn: Utamaro o meguru gonin no onna ) is a 1946 Japanese film directed by Kenji Mizoguchi.  It is based on the novel of the same title by Kanji Kunieda, itself a fictionalized account of the life of printmaker Kitagawa Utamaro.  It was Mizoguchi's first film made under the American occupation.

Kinuyo Tanaka: Kinuyo Tanaka (田中 絹代 , Tanaka Kinuyo , 29 November 1909 – 21 March 1977) was a Japanese actress and director.  She had a career lasting over 50 years with more than 250 credited films, and was best known for her roles in collaboration with director Kenji Mizoguchi over 15 films between 1940 and 1954.  She was also a second cousin to director Masaki Kobayashi.

Kenji Mizoguchi: Kenji Mizoguchi (溝口 健二 , Mizoguchi Kenji , May 16, 1898 – August 24, 1956) was a Japanese film director and screenwriter.

Sadao Yamanaka: Sadao Yamanaka (山中 貞雄 , Yamanaka Sadao , November 7, 1909 – September 17, 1938) was a Japanese film director and screenwriter who directed 26 films between 1932 and 1938.  He was a contemporary of Yasujirō Ozu, Mikio Naruse and Kenji Mizoguchi and one of the primary figures in the development of the "jidaigeki", or historical film.  Yamanaka died of dysentery in Manchuria after being drafted into the Imperial Japanese Army.  He is the uncle of the Japanese film director Tai Kato, who wrote a book about Yamanaka, "Eiga kantoku Yamanaka Sadao".

Marc Caro: Marc Caro, born 2 April 1956, is a French filmmaker and cartoonist, best known for his co-directing projects with Jean-Pierre Jeunet.

Princess Yang Kwei-Fei: Princess Yang Kwei-Fei (楊貴妃 , "Yōkihi" , a.k.a. "The Consort Yáng Guìfēi") is a 1955 Japanese film directed by Kenji Mizoguchi.  It was a co-production between Daiei Film and Hong Kong's Shaw & Sons, a predecessor of Shaw Brothers Studio .  It is one of Mizoguchi's two color films, the other being "Tales of the Taira Clan", made the same year.

Osaka Elegy: Osaka Elegy (浪華悲歌 , "Naniwa erejii" ) (originally Naniwa Elegy) is a 1936 Japanese film directed by Kenji Mizoguchi.  Mizoguchi considered the film his first serious effort as a director, and it was also his first commercial and critical success in Japan.  "Osaka Elegy" is often considered a companion piece to Mizoguchi's next film, "Sisters of the Gion", which was released the same year and featured much the same cast and crew.

Minoru Miki (cinematographer): Minoru Miki (三木 稔 , Miki Minoru , 26 December 1902 – 21 November 1968) , also credited as Shigeto Miki (三木 滋人 ) , was a Japanese cinematographer.  He was especially known for his work on a number of films by Japanese director Kenji Mizoguchi, including "Osaka Elegy" and "Sisters of the Gion", which were both placed among the top three films of 1936 by the Japanese magazine "Kinema Junpo".

Supporting paragraphs: Marc Caro Kenji Mizoguchi
Answer: 1956