Problem: Centaurus is rich in galaxies as well. NGC 4622 is a face-on spiral galaxy located 200 million light-years from Earth (redshift 0.0146). Its spiral arms wind in both directions, which makes it nearly impossible for astronomers to determine the rotation of the galaxy. Astronomers theorize that a galaxy merger with a smaller companion galaxy near the core of the main galaxy could have led to the unusual spiral structure. NGC 5253, a peculiar irregular galaxy, is located near the border with Hydra and Messier 83, with which it likely had a close gravitational interaction 1-2 billion years ago. This may have sparked the galaxys high rate of star formation, which continues today and contributes to its high surface brightness. NGC 5253 includes a large nebula and at least 12 large star clusters. In the eyepiece, it is a small galaxy of magnitude 10 with dimensions of 5 arcminutes by 2 arcminutes and a bright nucleus. NGC 4945 is a spiral galaxy seen edge-on from Earth, 13 million light-years away. It is visible with any amateur telescope, as well as binoculars under good conditions; it has been described as "shaped like a candle flame", being long and thin (16 by 3). In the eyepiece of a large telescope, its southeastern dust lane becomes visible. Another galaxy is NGC 5102, found by star-hopping from Iota Centauri. In the eyepiece, it appears as an elliptical object 9 arcminutes by 2.5 arcminutes tilted on a southwest-northeast axis.
Answer this question based on the article: How many more light-years away is NGC 4622 than NGC 4945?
A: 187

Problem: Following the conquest of the temple fort , later known as Jaromarsburg, on Arkona in 1168 by the Danes under King Valdemar I and Bishop Absalon of Roeskilde, the princes of Rügen had to recognise Danish suzerainty. On their accession to power, the Rügen princes were forced to confirm their allegiance to the Danish king and were obliged to provide military support to the Danes. In 1304 Vitslav III of Rügen gained sole lordship over the territory on the death of his brother, Sambor. Because he had no issue at that point in time, there existed the possibility that Rügen's princely house could become extinct. As a result, in 1310 he agreed a contract of inheritance at Ribnitz with the Danish king, Eric VI Menved, his feudal lord. The agreement was that in the event of Vitslav dying without issue, the fiefdom of Rügen would be returned to the Danish crown. At that time, Eric VI Menved was attempting to extend his power in the southern Baltic Sea region in order to reduce the influence of Hanseatic towns like Stralsund. To assist him, in addition to the princes of Rügen, the king also had Prince Henry II of Mecklenburg as a vassal. After the death of Eric VI Menved in 1319, the 1310 treaty lapsed and Vitslav III sought allies in the Pomeranian dukes. On 5 May 1321 dukes Otto I of Pomerania, Vartislav IV of Pomerania-Wolgast and Barnim II of Pomerania-Stettin agreed a mutual inheritance contract with Vitslav III of Rügen. But in an alliance agreement that had been previously concluded on 25 October 1315 between Vartislav IV, the son of Vitslav's sister, Margaret, and Eric's brother, Christopher of Halland, who later became King Christopher II of Denmark, Vartislav IV had already been promised the Rügen fiefdom.
Answer this question based on the article: Who did Vitslav III ally with after Erik IV?
A: Pomeranian dukes

Problem: Game summaryComing off their season-sweep over the Jaguars, the Colts flew to M&T Bank Stadium for a Week 14 Sunday Night duel with the Baltimore Ravens, in the rematch of last year's AFC Divisional duel. In the first quarter, Indianapolis got onto the scoreboard first with QB Peyton Manning completing a 34-yard TD pass to WR Reggie Wayne, while RB Joseph Addai got a 1-yard TD run. Afterwards, Manning and Addai hooked up with each other on a 19-yard TD pass, while rookie CB Michael Coe blocked a punt, causing it go through the back of Baltimore's end zone for a safety. In the second quarter, Addai made an 11-yard TD run. The Ravens immediately responded as WR Yamon Figurs returned a kickoff 94&#160;yards for a touchdown, yet Indianapolis continued its run with Manning completing a 57-yard TD pass to rookie WR Anthony Gonzalez. In the third quarter, the Colts put the game away with Manning finding Gonzalez again on a 40-yard TD pass for the only score of the period. In the fourth quarter, Baltimore tried a feeble comeback as QB Kyle Boller completed a 4-yard TD pass to WR Devard Darling, while QB Troy Smith got a 6-yard TD run. With the win, not only did Indianapolis improve to 11-2, but they also clinched their 6th-straight playoff berth. Peyton Manning even had a record night. He became the 5th player in NFL history to throw 300 career TD passes.  At game's end, he ended up with 302 touchdown passes, surpassing John Elway for 4th place on the All-Time TD passes list.
Answer this question based on the article: How many more wins than losses did Indianapolis have after this game?
A:
9