Input: In the 11th century, Gascony in southwest France had been incorporated into Aquitaine and formed with it the province of Guyenne and Gascony . The Angevin kings of England became Dukes of Aquitaine after Henry II married the former Queen of France, Eleanor of Aquitaine, in 1152, from which point the lands were held in vassalage to the French crown. By the 13th century the terms Aquitaine, Guyenne and Gascony were virtually synonymous. At the beginning of Edward III's reign on 1 February 1327, the only part of Aquitaine that remained in his hands was the Duchy of Gascony. The term Gascony came to be used for the territory held by the Angevin Kings of England in southwest France, although they still used the title Duke of Aquitaine. For the first 10 years of Edward III's reign, Gascony had been a major point of friction. The English argued that, as Charles IV had not acted in a proper way towards his tenant, Edward should be able to hold the duchy free of any French suzerainty. This argument was rejected by the French, so in 1329, the 17-year-old Edward III paid homage to Philip VI. Tradition demanded that vassals approach their liege unarmed with heads bare. Edward protested by attending the ceremony wearing his crown and sword. Even after this pledge of homage, the French continued to pressure the English administration. Gascony was not the only sore point. One of Edward's influential advisers was Robert III of Artois. Robert was an exile from the French court, having fallen out with Philip VI over an inheritance claim. He urged Edward to start a war to reclaim France, and was able to provide extensive intelligence on the French court.

Question: How many years after the beginning of Edward III's reign did Edward III pay homage to Philip VI?

Input: According to CMS, the Medicaid program provided health care services to more than 46.0 million people in 2001. In 2002, Medicaid enrollees numbered 39.9 million Americans, the largest group being children (18.4 million or 46 percent). From 2000 to 2012, the proportion of hospital stays for children paid by Medicaid increased by 33 percent, and the proportion paid by private insurance decreased by 21 percent. Some 43 million Americans were enrolled in 2004 (19.7 million of them children) at a total cost of $295 billion. In 2008, Medicaid provided health coverage and services to approximately 49 million low-income children, pregnant women, elderly people, and disabled people. In 2009, 62.9 million Americans were enrolled in Medicaid for at least one month, with an average enrollment of 50.1 million. In California, about 23% of the population was enrolled in Medi-Cal for at least 1 month in 2009-10.

Question: How many years have the hospital stay for children paid by medicaid increased?

Input: Tampa Bay trailed Detroit 7-0 after the first quarter. The Buccaneers rallied in the second quarter, as Josh Freeman completed a 24-yard touchdown pass to Mike Williams, followed by 39-yard touchdown run by LeGarrette Blount. In the fourth quarter, Tampa Bay trailed 17-14. Freeman drove the Buccaneers to the Detroit 1-yard line. Kellen Winslow caught a touchdown pass, but it was nullified by an offensive pass interference penalty, and the Buccaneers settled for a field goal and a 17-17 tie. Tampa Bay took a 20-17 lead with 1:44 remaining in regulation. However, Detroit drove down the field, and Dave Rayner kicked a field goal for Detroit, and tied the game as time expired. Detroit won the coin toss in overtime, and Rayner kicked the game-winning field goal on the first possession. Had the Buccaneers won this game, they would have qualified for the playoffs and denied the eventual Super Bowl XLV champion Green Bay Packers a postseason berth.

Question: Which team had the first touchdown of the game?

Input: Two first half touchdown passes by Carr gave the Raiders a one point lead at the half. The teams exchanged field goals in the second half. Following a late Jay Cutler interception, the Raiders took a late lead on a Sebastian Janikowski field goal with just over two minutes remaining. However, the Bears stormed down the field and Robbie Gould hit a 49-yard field goal with two seconds remaining to seal the win. With the loss, the Raiders dropped to 2-2 on the season.

Question:
How long was the game winning touchdown?