Question: Were both King Roger and Measure for Measure written by William Shakespeare?

full_context: Document 1: Arnold Rutkowski: Arnold Rutkowski is a Polish opera singer who has sung leading tenor roles both in his native country and abroad. He is best known for his performances as Don Josè in "Carmen", Rodolfo in "La bohème", Alfredo Germont in "La traviata", the Duke of Mantua in "Rigoletto", and Lt. Pinkerton in "Madama Butterfly".
Document 2: Shakespearean problem play: In Shakespeare studies, the problem plays are three plays that William Shakespeare wrote between the late 1590s and the first years of the seventeenth century: "All's Well That Ends Well", "Measure for Measure" and "Troilus and Cressida". Shakespeare's problem-plays are characterised by their complex and ambiguous tone, which shifts violently between dark, psychological drama and more straightforward comic material; compare tragicomedy.
Document 3: Twelfth Night: Twelfth Night, or What You Will is a comedy by William Shakespeare, believed to have been written around 1601–02 as a Twelfth Night's entertainment for the close of the Christmas season. The play centres on the twins Viola and Sebastian, who are separated in a shipwreck. Viola (who is disguised as Cesario) falls in love with Duke Orsino, who in turn is in love with the Countess Olivia. Upon meeting Viola, Countess Olivia falls in love with her thinking she is a man. The play expanded on the musical interludes and riotous disorder expected of the occasion, with plot elements drawn from the short story "Of Apollonius and Silla" by Barnabe Rich, based on a story by Matteo Bandello. The first recorded performance was on 2 February 1602, at Candlemas, the formal end of Christmastide in the year's calendar. The play was not published until its inclusion in the 1623 First Folio.
Document 4: The Merry Wives of Windsor: The Merry Wives of Windsor is a comedy by William Shakespeare first published in 1602, though believed to have been written in or before 1597. The Windsor of the play's title is a reference to the town of Windsor, also the location of Windsor Castle, in Berkshire, England, and though nominally set in the reign of Henry IV, the play makes no pretence to exist outside contemporary Elizabethan era English middle class life. It features the character Sir John Falstaff, the fat knight who had previously been featured in "Henry IV, Part 1" and "Part 2". It has been adapted for the opera on several occasions. The play is one of Shakespeare's lesser-regarded works among literary critics.
Document 5: The quality of mercy (Shakespeare quote): "The quality of mercy" refers to a quote by Portia in William Shakespeare's "The Merchant of Venice"; it occurs during Act IV, Scene 1, set in a Venetian Court of Justice. It is the speech in which Portia begs Shylock for mercy. Some sources set apart the first four lines of the speech or refer only to the first four lines as the subject of "The quality of mercy". Other sources refer to a longer portion of the speech but not the full 22 lines.
Document 6: Measure for Measure: Measure for Measure is a play by William Shakespeare, believed to have been written in 1603 or 1604. Originally published in the "First Folio" of 1623, where it was listed as a comedy, the play's first recorded performance occurred in 1604. The play's main themes include justice, "mortality and mercy in Vienna," and the dichotomy between corruption and purity: "some rise by sin, and some by virtue fall." Mercy and virtue prevail, as the play does not end tragically, with virtues such as compassion and forgiveness being exercised at the end of the production. While the play focuses on justice overall, the final scene illustrates that Shakespeare intended for moral justice to temper strict civil justice: a number of the characters receive understanding and leniency, instead of the harsh punishment to which they, according to the law, could have been sentenced.
Document 7: Gustave-Hippolyte Roger: Gustave-Hippolyte Roger, born in Paris on 17 December 1815 and died there on 12 September 1879, was a French tenor. He is best known for creating the leading tenor roles in "La damnation de Faust" by Berlioz in 1846 and Meyerbeer's "Le prophète" in 1849.
Document 8: Alfred (Dvořák): Alfred is a heroic opera in three acts by the Czech composer Antonín Dvořák. It was Dvořák's first opera and the only one he composed to a German text. The libretto, by Carl Theodor Körner, had already been set by Friedrich von Flotow (as "Alfred der Große") and is based on the story of the English king Alfred the Great. Composed in 1870, "Alfred" was never performed during Dvořák's lifetime. It received its premiere (in Czech translation) at the City Theatre, Olomouc on 10 December 1938.
Document 9: King Roger: King Roger (Polish: "Król Roger" , Op. 46) is an opera in three acts by Karol Szymanowski to a Polish libretto by the composer himself and Jarosław Iwaszkiewicz, the composer's cousin. The opera received its world premiere on 19 June 1926 at the Grand Theatre, Warsaw, with the cast including the composer's sister, the soprano Stanisława Korwin-Szymanowska, as Roxana.
Document 10: Robert Bruce (opera): Robert Bruce is an 1846 pastiche opera in three acts, with music by Gioachino Rossini and Louis Niedermeyer to a French-language libretto by Alphonse Royer and Gustave Vaëz, after Walter Scott's "History of Scotland". The music was stitched together by Niedermeyer, with the composer's permission, with pieces from "La donna del lago", "Zelmira", and other Rossini operas. The work was premiered on 30 December 1846, by the Paris Opera at the Salle Le Peletier. The audience may not have noticed, but the orchestra included for the first time a recently invented instrument, which later came to be known as the saxophone.
Document 11: Iolanta: Iolanta, Op. 69, (Russian: Иоланта ) is a lyric opera in one act by Pyotr Tchaikovsky. It was the last opera he composed. The libretto was written by the composer's brother Modest Tchaikovsky, and is based on the Danish play "Kong Renés Datter " ("King René's Daughter") by Henrik Hertz, a romanticised account of the life of Yolande de Bar. In the original Danish play, the spelling of the princess's name was "Iolanthe", later adopted for the otherwise unrelated Gilbert and Sullivan operetta of that name. The play was translated by Fyodor Miller and adapted by Vladimir Zotov. The opera received its premiere on 18 December 1892 in Saint Petersburg.
Document 12: The Quality of Mercy (book): The Quality of Mercy is the title of several different books. The phrase taken from a speech by Portia in William Shakespeare's play "The Merchant of Venice". The speech begins:
Document 13: Die Kluge: Die Kluge. Die Geschichte von dem König und der klugen Frau ("The Wise [Girl]. The Story of the King and the Wise Woman") is an opera in 12 scenes written by Carl Orff. It premiered in Frankfurt, Germany, on 20 February 1943. Orff referred to this opera as a "Märchenoper " (fairy tale opera). The composer also wrote the libretto, based on "Die Kluge Bauerntochter" ("The Peasant's Wise Daughter") from the Grimm's Fairy Tales. A performance lasts for about 90 minutes and is often paired with Orff's "Der Mond".
Document 14: The Merchant of Venice: The Merchant of Venice is a 16th-century play by William Shakespeare in which a merchant in Venice must default on a large loan provided by an abused Jewish moneylender. It is believed to have been written between 1596 and 1599. Though classified as a comedy in the First Folio and sharing certain aspects with Shakespeare's other romantic comedies, the play is perhaps most remembered for its dramatic scenes, and it is best known for Shylock and the famous "Hath not a Jew eyes?" speech. Also notable is Portia's speech about "the quality of mercy". Critic Harold Bloom listed it among Shakespeare's great comedies.
Document 15: As You Like It: As You Like It is a pastoral comedy by William Shakespeare believed to have been written in 1599 and first published in the First Folio in 1623. The play's first performance is uncertain, though a performance at Wilton House in 1603 has been suggested as a possibility.
ground_truth: no