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 old was the military engineer who scouted around Leith during the siege? Passage:The English King Henry VIII, angered by the Scots reneging on the initial agreement, made war on Scotland in 1544–1549, a period which the writer Sir Walter Scott later christened the "Rough Wooing". In May 1544 an English army landed at Granton and captured Leith to land heavy artillery for an assault on Edinburgh Castle, but withdrew after burning the town and the Palace of Holyrood over three days. Three years later, following another English invasion and victory at Pinkie Cleugh in 1547, the English attempted to establish a "pale" within Scotland. Leith was of prime strategic importance because of its vital role as Edinburgh's port, handling its foreign trade and essential supplies. The English arrived in Leith on 11 September 1547 and camped on Leith Links. The military engineer Richard Lee scouted around the town on 12 September looking to see if it could be made defensible. On 14 September the English began digging a trench on the south-east side of Leith near the Firth of Forth. William Patten wrote that the work was done as much for exercise as for defence, since the army only stayed for five days.


Output: b


Input: Consider Input: Question: What is the capacity of Derby's Pride Park stadium? Passage:As a result of Hull finishing in fourth place in the Championship they qualified for the Football League play-offs. In the play-off semi finals Hull played against fifth placed team Derby County over two legs. The first leg was held on 14 May 2016 at Derby's Pride Park. Hull's top scorer Abel Hernández was the first to score with a strike from 25 yards after half an hour. This was followed 10 minutes later with a shot by Moses Odubajo deflected in by defender Jason Shackell. Andrew Robertson completed the scoring with a late stoppage time goal to give Hull a 3–0 advantage going into the second leg at the KC Stadium on 17 May 2016. Derby got off to a great start with a goal from close range by Johnny Russell after 7 minutes. Their lead was doubled when a sliced ball by Andrew Robertson went into his own net 30 minutes later. Derby continued to press but Hull hung on to deny them any further scores. The match ended 2–0 to Derby, but Hull progressed 3–2 on aggregate, much to the relief of manager Steve Bruce who was in charge for the 200th time. The final, on 28 May 2016 at Wembley Stadium, was a local derby against Sheffield Wednesday who beat Brighton & Hove Albion 3–1 on aggregate in the other semi-final. Hull beat Sheffield Wednesday 1–0 in the final with the only goal coming from a 25-yard wonder strike by Mohamed Diamé in the 72nd minute. The Tigers made an immediate return to the top flight and it was Bruce's fourth promotion to the Premier League as manager.



Output: b