Definition: 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: Question: Was the castle that was surrendered to the Scots on 31 July built before Barnard Castle? Passage:Appleby Castle surrendered to the Scots on 31 July, whereat Lambert, who was still hanging on to the flank of the Scottish advance, fell back from Barnard Castle to Richmond so as to close Wensleydale against any attempt of the invaders to march on Pontefract. All the restless energy of Langdale's horse was unable to dislodge Lambert from the passes or to find out what was behind that impenetrable cavalry screen. The crisis was now at hand. Cromwell had received the surrender of Pembroke Castle on 11 July, and had marched off, with his men unpaid, ragged and shoeless, at full speed through the Midlands. Rains and storms delayed his march, but he knew that the Duke of Hamilton in the broken ground of Westmorland was still worse off. Shoes from Northampton and stockings from Coventry met him at Nottingham, and gathering up the local levies as he went, he made for Doncaster, where he arrived on 8 August, having gained six days in advance of the time he had allowed himself for the march. He then called up artillery from Hull, exchanged his local levies for the regulars who were besieging Pontefract, and set off to meet Lambert. On 12 August he was at Wetherby, Lambert with horse and foot at Otley, Langdale at Skipton and Gargrave, Hamilton at Lancaster, and Sir George Monro with the Scots from Ulster and the Carlisle Royalists (organized as a separate command owing to friction between Monro and the generals of the main army) at Hornby. On 13 August, while Cromwell was marching to join Lambert at Otley, the Scottish leaders were still disputing whether they should make for Pontefract or continue through Lancashire so as to join Lord Byron and the Cheshire Royalists.


b