In this task, you're given a question, along with a context passage. The passage will not have a direct answer to the question, but can include some information and a clue for the answer. Assuming you can only obtain information about one entity in the passage, your job is to determine whether information from the passage can be used to answer the question. Indicate your choice as `a` for Yes or `b` for No.

Input: Consider Input: Question: What was the age difference between the 17th century Polish king and the person he helped regain Prussian in exchange for his support against Sweden? Passage:The Duchy of Prussia was a duchy in the eastern part of Prussia from 1525–1701. In 1525 during the Protestant Reformation, the Grand Master of the Teutonic Knights, Albert of Hohenzollern, secularized the Prussian State of the Teutonic Order, becoming Albert, Duke in Prussia. His duchy, which had its capital in Königsberg (Kaliningrad), was established as a fief of the Crown of Poland, as had been Teutonic Prussia since the Second Peace of Thorn in October 1466. This treaty had ended the War of the Cities or Thirteen Years' War and provided for the Order's cession of its rights over the western half of its territories to the Polish crown, which became the province of Royal Prussia, while the remaining part of the Order's land became a fief of the Kingdom of Poland (1385–1569). In the 17th century King John II Casimir of Poland submitted Frederick William to regain Prussian suzerainty in return for supporting Poland against Sweden. On July 29, 1657, they signed the Treaty of Wehlau in Wehlau (Polish: Welawa; now Znamensk), whereby Frederick William renounced a previous Swedish-Prussian alliance and John Casimir recognised Frederick William's full sovereignty over the Duchy of Prussia. Full sovereignty was a necessary prerequisite for upgrading the Duchy to Kingdom of Prussia in 1701.


Output: b


Input: Consider Input: Question: How many students did Wellington College have the year that Vincent was promoted to lieutenant? Passage:Born the son of Colonel Arthur Hare Vincent and Elizabeth Rose Manson and educated at Wellington College and the Royal Military Academy, Woolwich, Vincent was commissioned into the Royal Artillery as a second lieutenant on 24 July 1891. He was promoted to lieutenant on 24 July 1894 and to captain on 13 February 1900. He served with the China Expeditionary Force in late 1900 and then in the Second Boer War in South Africa. Following the end of the war, Vincent left Point Natal for India on the SS Ionian in October 1902 with other officers and men of the J Battery Royal Horse Artillery, and after arrival in Bombay, was stationed in Meerut, Bengal Presidency. In 1903, Vincent was sent to Tokyo to learn Japanese: he served as British military attaché with the Japanese Army during the Russo-Japanese War and, from 1 March 1904, was attached to the 2nd Division of the First Japanese Army in Manchuria.


Output: a


Input: Consider Input: Question: When was the team founded that O'Keeffee won 3 county championships with in 1997, 98, and 99? Passage:Declan O'Keeffe (born 1972 in Rathmore, County Kerry) is a former Irish sportsperson. He played Gaelic football at various times with his local clubs Rathmore in Kerry and Clooney/Quin and St Josephs Doora-Barefield in Clare. He was a member of the Kerry senior inter-county team from 1996 until 2003. He won All-Ireland Senior Football Championships in 1997 & 2000. He also won an All-Ireland Junior Football Championship in 1994. He won Munster Under-21 Football Championship medals in 1992 and 1993, and a Munster Minor Football Championship medal in 1990. He won an International Rules in 1999 and a Railway Cup. He won 3 County Championships with East Kerry in 1997, 1998 and 1999.



Output: b