Question: Which American actor and writer produced To Be or Not to Be

full_context: Document 1: The Human Comedy (film): The Human Comedy is a 1943 American drama film directed by Clarence Brown and adapted by Howard Estabrook. It is often thought to be based on the William Saroyan novel of the same name, but Saroyan actually wrote the screenplay first, was fired from the movie project, and quickly wrote the novel and published it just before the film was released. The picture stars Mickey Rooney with Frank Morgan. Also appearing in the film are James Craig, Marsha Hunt, Fay Bainter, Ray Collins, Van Johnson, Donna Reed and Jackie 'Butch' Jenkins. Robert Mitchum (as "Quentin") and Don DeFore appear together as boisterous soldiers in uncredited supporting roles.
Document 2: Mike Nichols: Mike Nichols (born Mikhail Igor Peschkowsky; November 6, 1931 – November 19, 2014) was an American film and theatre director, producer, actor and comedian. He was noted for his ability to work across a range of genres and an aptitude for getting the best out of actors regardless of their acting experience. Nichols began his career in the 1950s with the comedy improvisational troupe, The Compass Players, predecessor of The Second City, in Chicago. He then teamed up with his improv partner, Elaine May, to form the comedy duo Nichols and May. Their live improv acts were a hit on Broadway resulting in three albums, with their debut album winning a Grammy Award.
Document 3: Tootsie: Tootsie is a 1982 American comedy film directed by Sydney Pollack and starring Dustin Hoffman, with a supporting cast that includes Bill Murray, Jessica Lange, Teri Garr, Dabney Coleman, Charles Durning, Geena Davis (in her acting debut), and Doris Belack. The film tells the story of a talented but volatile actor whose reputation for being difficult forces him to adopt a new identity as a woman in order to land a job. The film was adapted by Larry Gelbart, Barry Levinson (uncredited), Elaine May (uncredited) and Murray Schisgal from the story by Gelbart and Don McGuire.
Document 4: Sid Caesar: Isaac Sidney "Sid" Caesar (September 8, 1922 – February 12, 2014) was an American comic actor and writer, best known for two pioneering 1950s live television series: "Your Show of Shows", which was a 90-minute weekly show watched by 60 million people, and its successor, "Caesar's Hour", both of which influenced later generations of comedians. "Your Show of Shows" and its cast received seven Emmy nominations between the years 1953 and 1954 and tallied two wins. He also acted in movies; he played Coach Calhoun in "Grease" (1978) and its sequel "Grease 2" (1982) and appeared in the films "It's a Mad, Mad, Mad, Mad World" (1963), "Silent Movie" (1976), "History of the World, Part I" (1981), and "Cannonball Run II" (1984).
Document 5: Grumpy Old Men (film): Grumpy Old Men is a 1993 American romantic comedy-drama film starring Jack Lemmon, Walter Matthau and Ann-Margret, with Burgess Meredith, Daryl Hannah, Kevin Pollak, Ossie Davis and Buck Henry. Directed by Donald Petrie, the screenplay was written by Mark Steven Johnson, who also wrote the sequel, "Grumpier Old Men" (1995). The original music score was composed by Alan Silvestri. This was the sixth film starring both Jack Lemmon and Walter Matthau and their first on-screen pairing since 1981's "Buddy Buddy" and was released on December 25, 1993.
Document 6: Brighton Beach Memoirs (film): Brighton Beach Memoirs is a 1986 American comedy film directed by Gene Saks, written by Neil Simon, and starring Jonathan Silverman and Blythe Danner. Simon adapted his semi-autobiographical 1983 play of the same title, the first chapter in what is known as the "Eugene trilogy", followed by "Biloxi Blues" and "Broadway Bound". The film frequently breaks the fourth wall by having Eugene speak directly to the camera.
Document 7: Steve Martin: Stephen Glenn Martin (born August 14, 1945) is an American actor, comedian, writer, producer, and musician. Martin came to public notice in the 1960s as a writer for "The Smothers Brothers Comedy Hour", and later as a frequent guest on "The Tonight Show". In the 1970s, Martin performed his offbeat, absurdist comedy routines before packed houses on national tours. Since the 1980s, having branched away from comedy, Martin has become a successful actor, as well as an author, playwright, pianist, and banjo player, eventually earning him an Emmy, Grammy, and American Comedy awards, among other honors.
Document 8: Mel Smith: Melvin Kenneth "Mel" Smith (3 December 1952 – 19 July 2013) was an English comedian, writer, film director, producer and actor.
Document 9: Mel Brooks: Mel Brooks (born Melvin Kaminsky; June 28, 1926) is an American actor, writer, producer, director, comedian, and composer. He is known as a creator of broad film farces and comic parodies. Brooks began his career as a comic and a writer for the early TV variety show "Your Show of Shows". He became well known as part of the comedy duo with Carl Reiner in the comedy skit "The 2000 Year Old Man". He also created, with Buck Henry, the hit television comedy series "Get Smart", which ran from 1965 to 1970.
Document 10: To Be or Not to Be (1942 film): To Be or Not to Be is a 1942 American comedy film directed by Ernst Lubitsch, about a troupe of actors in Nazi-occupied Warsaw who use their abilities at disguise and acting to fool the occupying troops. It was adapted by Lubitsch (uncredited) and Edwin Justus Mayer from the story by Melchior Lengyel. The film stars Carole Lombard, Jack Benny, Robert Stack, Felix Bressart, Lionel Atwill, Stanley Ridges and Sig Ruman. The film was released one month after actress Carole Lombard was killed in an airplane crash.
Document 11: History of the World, Part I: History of the World, Part I is a 1981 American anthology comedy film written, produced, and directed by Mel Brooks. Brooks also stars in the film, playing five roles: Moses, Comicus the stand-up philosopher, Tomás de Torquemada, King Louis XVI, and Jacques, "le garçon de pisse". The large ensemble cast also features Sid Caesar, Shecky Greene, Gregory Hines (in his film debut), Charlie Callas; and Brooks regulars Ron Carey, Dom DeLuise, Madeline Kahn, Harvey Korman, Cloris Leachman, Andreas Voutsinas, and Spike Milligan.
Document 12: To Be or Not to Be (play): To Be or Not to Be is a play written by Nick Whitby, based on the 1942 film "To Be or Not to Be". The play, described as a "black comedy" was produced by the Manhattan Theatre Club, and ran on Broadway in 2008.
Document 13: The Producers (2005 film): The Producers is a 2005 American musical comedy film directed by Susan Stroman and written by Mel Brooks and Thomas Meehan based on the eponymous 2001 Broadway musical, which in turn was based on Brooks's 1967 film of the same name starring Zero Mostel, Gene Wilder and Andreas Voutsinas. The film stars an ensemble cast led by Nathan Lane, Matthew Broderick, Uma Thurman, Will Ferrell, Gary Beach, Roger Bart, and Jon Lovitz. Creature effects were provided by Jim Henson's Creature Shop.
Document 14: To Be or Not to Be (1983 film): To Be or Not to Be is a 1983 American war comedy film directed by Alan Johnson and produced by Mel Brooks. The screenplay was written by Ronny Graham and Thomas Meehan, based on the original story by Melchior Lengyel, Ernst Lubitsch and Edwin Justus Mayer. A remake of the 1942 film of the same name, the film starred Mel Brooks alongside his wife Anne Bancroft; Tim Matheson, Charles Durning, Christopher Lloyd, and José Ferrer also had starring roles.
Document 15: Carl Reiner: Carl Reiner (born March 20, 1922) is an American comedian, actor, director and writer whose career spans nearly seven decades.
ground_truth: Mel Brooks