In May 1409, an uprising in Teutonic-held Samogitia started. Lithuania supported the uprising and the Knights threatened to invade. Poland announced its support for the Lithuanian cause and threatened to invade Prussia in return. As Prussian troops evacuated Samogitia, the Teutonic Grand Master Ulrich von Jungingen declared war on the Kingdom of Poland and Grand Duchy of Lithuania on 6 August 1409. The Knights hoped to defeat Poland and Lithuania separately and began by invading Greater Poland and Kuyavia, catching the Poles by surprise. The Knights burned the castle at Dobrin , captured Bobrowniki after a fourteen-day siege, conquered Bydgoszcz , and sacked several towns. The Poles organized counterattacks and recaptured Bydgoszcz. The Samogitians attacked Memel . However, neither side was ready for a full-scale war. Wenceslaus, King of the Romans, agreed to mediate the dispute. A truce was signed on 8 October 1409; it was set to expire on 24 June 1410. Both sides used this time for preparations for the battle, gathering the troops and engaging in diplomatic maneuvers. Both sides sent letters and envoys accusing each other of various wrongdoings and threats to Christendom. Wenceslaus, who received a gift of 60,000 florins from the Knights, declared that Samogitia rightfully belonged to the Knights and only Dobrzyn Land should be returned to Poland. The Knights also paid 300,000 ducats to Sigismund of Hungary, who had ambitions for the principality of Moldova, for his military assistance. Sigismund attempted to break the Polish-Lithuanian alliance by offering Vytautas a king's crown; Vytautas's acceptance of such a crown would violate the terms of the Ostrow Agreement and create Polish-Lithuanian discord. At the same time Vytautas managed to obtain a truce from the Livonian Order.

How many months was the first truce set for?
A: 8

Trying to snap their three-game losing streak, the Lions flew to Gillette Stadium for a Week 13 fight with the New England Patriots. In the first quarter, Detroit trailed early as kicker Stephen Gostkowski nailed a 25-yard field goal for the only score of the period. In the second quarter, the Lions took the lead with QB Jon Kitna completing a 5-yard TD pass to WR Mike Furrey, while kicker Jason Hanson got a 29-yard field goal. However, New England would reclaim the lead with RB Corey Dillon's 6-yard TD run and Gostkowski's 27-yard field goal. In the third quarter, Detroit came right back with Hanson's 38-yard and 49-yard field goal, while DE Jared DeVries sacked Pats QB Tom Brady in his endzone for a safety. In the fourth quarter, Hanson would kick a 26-yard field goal. However, their lead would vanish for good, as Dillon got a 2-yard TD run, which was followed up with Brady successfully completing a 2-point conversion pass to WR Troy Brown. Dillon would then wrap the game up with a 4-yard TD run. With their fourth-straight loss, the Lions fell to 2-10.

How many yards shorter was Corey Dillon's second touchdown run compared to his first?
A: 4

Coming off their bye week, the Cowboys went home for a Week 7 duel with the Atlanta Falcons. Dallas would trail in the first quarter as Falcons quarterback Matt Ryan found wide receiver Roddy White on a 4-yard touchdown pass. In the second quarter, the Cowboys came out shooting as kicker Nick Folk made a 38-yard field goal, followed by quarterback Tony Romo completing a 59-yard touchdown pass to wide receiver Miles Austin and a 5-yard touchdown pass to wide receiver Patrick Crayton. Atlanta tried to catch up in the third quarter with running back Michael Turner's 2-yard touchdown run, yet Dallas answered with Romo finding Austin again on a 22-yard touchdown pass. The Cowboys would increase their lead in the fourth quarter with Folk nailing a 46-yard field goal and Crayton returning a punt 73 yards for a touchdown. The Falcons tried to come back with Ryan's 30-yard touchdown pass to wide receiver Eric Weems, yet Dallas closed out the game with Folk's 34-yard field goal.

How many yards longer was Tony Romo's longest touchdown pass than his shortest?
A:
54