Detailed Instructions: 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.
Problem:Question: How long did Rudolph have rule? Passage:As early as 500 BC, the Treveri, a people of mixed Celtic and Germanic stock, from whom the Latin name for the city of Trier, Augusta Treverorum, is also derived, settled in Veldenz's fertile valley. After them, from about 50 BC to AD 500 came the Romans. Possibly about the year 1129, Gerlach I built a castle, today's Schloss Veldenz. In 1286, Rudolph of Habsburg granted Veldenz town and market rights. By 1444, the castle and its environs had passed to the Counts of Palatinate-Zweibrücken, or between 1543 and 1694 the Principality of Palatinate-Veldenz. In 1752, in Burgen near Veldenz, the widely known robber, Johann Peter Petri, also known as Schwarzer Peter (“Black Peter”), was born. From 1777 to 1797, Veldenz belonged to Bavaria. After French rule as part of Sarre department, it was annexed to Prussia in 1815. In 1835 the Veldenz Lion was adopted as the Bavarian Lion in that kingdom's coat of arms. Even today, many examples of comital building undertakings from the 18th century can be found, among them the town hall.

Solution:
b