question: Who is the paternal grandfather of Elisabeth Of Greater Poland, Duchess Of Bohemia?
context: [["John I, Duke of Bavaria", ["John I of Bavaria( 29 November 1329 \u2013 20 December 1340),( German:\" Johann I das Kind, Herzog von Niederbayern\"), he was the Duke of Lower Bavaria since 1339.", "John", "I was the son of Henry XIV, Duke of Lower Bavaria, and Margaret of Bohemia.", "His maternal grandparents were John I of Bohemia and Elisabeth of Bohemia"]], ["Anne of Bohemia (1290\u20131313)", ["Anne of Bohemia( 1290 \u20131313) was the eldest surviving daughter of Wenceslaus II of Bohemia and Poland and his first wife Judith of Habsburg.", "Her siblings included Elisabeth of Bohemia and Wenceslaus III of Bohemia."]], ["Salome of Greater Poland", ["Salome of Greater Poland also known as Salomea Odonic\u00f3wna( literally daughter of Odonic)( b. \u2013 d. April 1267?), was a Polish princess member of the Piast dynasty from the Greater Poland branch and by marriage Duchess of Glog\u00f3w.", "She was the third child but eldest daughter of Duke W\u0142adys\u0142aw Odonic of Greater Poland by his wife Jadwiga."]], ["Elisabeth of the Palatinate", ["Elisabeth of the Palatinate( 26 December 1618 \u2013 11 February 1680), also known as Elisabeth of Bohemia, Princess Elisabeth of the Palatinate, or Princess- Abbess of Herford Abbey, was the eldest daughter of Frederick V, Elector Palatine( who was briefly King of Bohemia), and Elizabeth Stuart.", "Elisabeth of the Palatinate is a philosopher best known for her correspondence with Ren\u00e9 Descartes.", "She was critical of Descartes' dualistic metaphysics and her work anticipated the metaphysical concerns of later philosophers."]], ["Mieszko III the Old", ["Mieszko III the Old( c. 1126/27 \u2013 13 March 1202), of the royal Piast dynasty, was Duke of Greater Poland from 1138 and High Duke of Poland, with interruptions, from 1173 until his death.", "He was the fourth and second surviving son of Duke Boles\u0142aw III Wrymouth of Poland, by his second wife Salomea, daughter of the German count Henry of Berg- Schelklingen."]], ["Anna of Greater Poland", ["Anna of Greater Poland( b. 1253 \u2013 d. aft. 26 June 1295), was a Greater Poland princess member of the House of Piast and abbess at Owi\u0144ska.", "She was the third daughter( twin with Euphemia) of Przemys \u0142 I, Duke of Greater Poland and Pozna\u0144, by his wife Elisabeth, daughter of Henry II the Pious, Duke of Wroc\u0142aw.", "She named after her maternal grandmother, Anna of Bohemia."]], ["Elisabeth of Bohemia (1358\u20131373)", ["Elisabeth of Bohemia( 1358\u20131373) was the daughter of Charles IV, Holy Roman Emperor, and Anne of Schweidnitz.", "She was named after her paternal grandmother, Elisabeth of Bohemia( 1292\u20131330).", "She had a brother, Wenceslaus, King of the Romans, and one half sister, Katharine of Bohemia, whose mother was Blanche of Valois who was Charles IV's previous wife.", "Elisabeth had another half sister who was the daughter of Blanche, Margaret of Bohemia but she died in 1349, so Elisabeth never knew her.", "After the death of her mother, Charles remarried for the last time to Elizabeth of Pomerania.", "Elisabeth gained six half- siblings from the marriage: Anna, Queen of England, Sigismund, Holy Roman Emperor, Margaret\" the younger\" of Bohemia, John of G\u00f6rlitz, Charles, and Henry.", "Elisabeth married when she was only eight in 1366 to Albert III, Duke of Austria.", "Elisabeth and Albert had no children and she died aged only fifteen in 1373; she was buried with Albert's parents in Gaming Charterhouse in Lower Austria.", "Her husband remarried to Beatrix of Nuremberg and they were parents of Albert IV, Duke of Austria."]], ["Elisabeth of Wroc\u0142aw", ["Elisabeth of Wroc\u0142aw( Polish: El\u017cbieta wroc\u0142awska)( c. 1232 \u2013 16 January 1265), also known as\" Elisabeth of Poland\", was a daughter of Henry II the Pious and his wife, Anna of Bohemia.", "She was a member of the House of Piast and was Duchess consort of Greater Poland by marriage."]], ["Margaret of Bohemia, Duchess of Bavaria", ["Margaret of Bohemia( 1313\u20131341) was the daughter of King John of Bohemia by his first wife Elisabeth of Bohemia( 1292\u20131330)."]], ["Elisabeth of Greater Poland, Duchess of Bohemia", ["Elisabeth of Greater Poland( 1152 \u2013 2 April 1209) was a Polish princess of the House of Piast and, by her two marriages, Duchess of Bohemia and Margravine of Lusatia.", "She was a daughter of Mieszko III the Old, Duke of Greater Poland and from 1173 High Duke of Poland, by his first wife, Elisabeth, daughter of King B\u00e9la II of Hungary.", "Elisabeth's birthdate is unknown.", "Medieval sources do not even indicate whether the Hungarian princess was her mother.", "Elizabeth is believed to have been her daughter only because both had the same name.", "Some scholars report that Elizabeth was born about 1152 or 1154."]]]
supporting_facts: [["Elisabeth of Greater Poland, Duchess of Bohemia", 1], ["Mieszko III the Old", 1]]
evidences: [["Elisabeth of Greater Poland, Duchess of Bohemia", "father", "Mieszko III the Old"], ["Mieszko III the Old", "father", "Boles\u0142aw III Wrymouth"]]
answer: Bolesław III Wrymouth