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: When did the woman Nick's romancing get engaged to her fiancee? Passage:Nick Payne arrives in town after a shipwreck. Soon, he is romancing Brooke Logan. This eventually puts him at odds with her fiancée, Ridge Forrester. Their rivalry is exacerbated when his mother, Jacqueline Payne, reveals to Nick that he is the son of his employer, billionaire shipping magnate Massimo Marone making him Ridge's half-brother. Brooke chooses to marry Ridge. They go on their honeymoon in South America, where Ridge is kidnapped by a group of thugs working for Sheila Carter, a criminal who killed Ridge's wife Taylor Hayes. While saving Ridge, Brooke and Nick end up also being held captive by Sheila, demanding gold from Massimo. Ridge falls into a furnace and is presumed dead. While grieving, Brooke and Nick have sex. It is later revealed that Ridge is alive. Brooke realizes she is pregnant and is unsure if Ridge or Nick is the father. A DNA test reveals Nick is the father but months its later revealed that Ridge is actually the father. Brooke nearly marries Nick but the wedding is stopped by Ridge. Nick later had a brief romance with Ridge's half-sister, Felicia Forrester. She returned to L.A with a son called Dominick. Later, Nick begins to romance Bridget Forrester. They get married (a small interruption in their ceremony which reveals that Taylor Hayes was alive stops the initial wedding) at the Forrester Mansion. Bridget becomes pregnant, but finds out that Nick and her own mother, Brooke, had begun an affair. She faked an abortion. Nick and Bridget's stillborn baby Nicole was born in early 2006. They split up soon after. Nick, wanting Brooke back, stopped her wedding to Ridge and succeeded. Brooke and Nick finally married soon afterward. On one of the fashion show television shows Ridge purposely gave Brooke a scandalizing kiss causing Nick to lose it. Ridge continues his constant sexual advances to Brooke to try to break up Nick and Brooke and decides to put Brooke's sister Donna Logan on as lead model for Brooke's Bedroom to make Brooke jealous. Brooke leaves Nick in their bedroom in a huff when she sees Donna on television scantily clad and representing Brooke's Bedroom and goes to Ridge's house to confront him about it. Nick later slept with Bridget. Also during this time, Jackie falls off the staircase at the Forrester mansion and falsely claims that Stephanie pushed her. Nick blackmails Eric Forrester and the rest of the Forresters into selling him Forrester Creations or Stephanie will face charges. Brooke, furious at Nick's treatment of the Forresters, sells him her stock as well, ends her marriage to Nick and returns to Ridge.


Output: a


Input: Consider Input: Question: How old was Mike Singletary when he hired Johnson? Passage:Michael Eric Johnson (born May 2, 1967) is an American football coach and former quarterback, and current wide receivers coach for Mississippi State. He was the interim head coach for the UCLA Bruins football team after serving as their offensive coordinator. Previously, he spent two years with the San Francisco 49ers of the National Football League. Johnson was hired along with former offensive coordinator Jimmy Raye by San Francisco head coach Mike Singletary on February 6, 2009. Raye was fired on September 27, 2010 and Johnson was promoted. Beginning in 2014 he served for three seasons as head coach of The King's Academy Knights in Sunnyvale, California, before being hired as wide receiver coach by the University of Oregon in 2017.



Output: b