Problem: Like Sweden, John II Casimir was also looking for allies to break the deadlock of the war. On 1 December 1656, he signed an alliance with Ferdinand III of Habsburg in Vienna, essentially a declaration of Ferdinand III's intend to mediate a peace rather than provide military aid, which did not come into effect until Ferdinand's death on 2 April 1657. The treaty was however renewed and amended on 27 May by Ferdinand's successor Leopold I of Habsburg, who agreed in Vienna to provide John II Casimir with 12,000 troops maintained at Polish expense; in return, Leopold received Kraków and Posen in pawn. Receiving the news, Frederick III of Denmark promptly declared war on Sweden, and by June the Austrian army entered the Polish-Lithuanian Commonwealth from the south, immediately stabilizing the situation in southern Poland, while Denmark attacked Swedish Bremen-Verden and turned to Jämtland and Västergötland in July. When Charles X Gustav left the Commonwealth and headed westwards for an anti-Danish counterstrike, the Swedish-Brandenburgian-Transylvanian alliance broke apart. Rákóczi of Transylvania was unable to withstand the combined Austrian and Polish-Lithuanian forces without Swedish support, and after a pursuit into Ukraine he was encircled and forced to capitulate, with the rest of the Transylvanian army defeated by the Tartars. Brandenburg changed sides in return for Polish withdrawal of claims to Ducal Prussia, declaring Frederick William the sole sovereign in the Duchy with the treaties of Wehlau on 19 September and Bromberg on 6 November. In addition, the aforementioned treaties secured Brandenburg the Lands of Lauenburg and Bütow at the border of Brandenburgian Pomerania, while the Bishopric of Ermeland was returned to Poland.

About how many months do these events span for?
Answer: 9

Problem: The Buccaneers hosted division rival Atlanta, wearing their orange throwback uniforms. Tied 7-7 in the second quarter, Matt Ryan completed a 17-yard touchdown pass to Ovie Mughelli and a 14-7 Atlanta lead. With two minutes left in the first half, Ryan was intercepted by Sean Jones. With 15 seconds left in the half, Josh Freeman threw a touchdown pass to Mike Williams, to tie the score at 14-14. Connor Barth kicked a 33-yard field goal, and Tampa Bay took a 17-14 lead in the third quarter. With 12:33 left in the game, Corey Lynch intercepted Matt Ryan. The turnover led to a 2-yard touchdown pass to John Gilmore, and Tampa Bay led 24-14 with 10:24 remaining. Eric Weems returned the ensuing kickoff 102 yards for a touchdown. That trimmed the lead to 24-21. On Atlanta's next drive, Ronde Barber was called for pass interference, and Quincy Black was penalized for a "horse-collar tackle." Atlanta quickly scored a 9-yard touchdown pass to Michael Jenkins, and took a 28-24 lead with 4:31 left. Josh Freeman led Tampa Bay on a hopeful go-ahead drive. Facing 4th down and 12 at the Atlanta 46-yard line, Freeman completed a 19-yard pass to Sammie Stroughter to keep the drive alive. On the next play, however, Freeman was intercepted by Brent Grimes at the 19-yard line, securing the victory for Atlanta.

How many points did the Falcons win by?
Answer: 4

Problem: With the loss, the Chargers fell to 5-9 and were officially eliminated from playoff contention for the third-straight year. The Chargers' home crowd of 53,832 was their lowest since 2004. It was their third-straight blackout at home and fourth of the season. With the way ticket sales have been going, San Diego's home finale against the Raiders is expected to sell out, thus ending the home blackout streak. The team finished the season 0-4 against NFC opponents and had their first losing season since 2003.

How many years ago Chargers were in playoff contention?
Answer: 4

Problem: Starting in the 1680s, prior to any formal colonization, the land along the shoreline of the north central coast of Saint John was occupied for decades by settlers of diverse nationalities. The property was used for maritime activities and cotton production. The Danish claimed Saint John on March 25, 1718, and the area along the north central coast from Caneel Bay to Cinnamon Bay was occupied by nine private land owners. The Danish established large sugarcane plantations worked by slaves brought from Africa. Daniel Jansen and his wife Adriana Delicat were the first land owners to acquire a formal Danish deed for property at Cinnamon Bay.  Approximate to Jenson's purchase in 1718, a coastal parcel of land was purchased by William Gandy in 1722 and was later bought by Peter Durloo in 1728. Durloo was the husband of Daniel Jansen's daughter, Elizabeth. Durloo's newly acquired coastal land abutted Jensen's property to the north. In 1719, Pieter de Buyck purchased property along the north central coast of the island, east of the Gandy-Durloo land. After De Buyck's death in 1728, the land became the property of Abraham Beaudewyn. The 1936 tax records show that Jasper Jansen, Daniel and Adriana Jansen's eldest son, owned the De Buyck-Beaudewyn land. Despite the short tenure of De Buyck, this locale still carries his name, Peter Bay. These three parcels of land - the Jansen, Gandy-Durloo, and De Buyck-Beaudewyn properties - became the consolidated estate later known as Cinnamon Bay Plantation. List of new owners of the consolidated property:

Which happened first, the Danish claimed Saint John or Pieter de Buyck purchased property along the north central coast of the island?
Answer:
The Danish claimed Saint John