In 1745 three of the greatest battles of the war occurred: Hohenfriedberg, Kesselsdorf and Fontenoy. The formation of the Quadruple Alliance of Britain, Austria, the Dutch Republic and Saxony was concluded at Warsaw on 8 January 1745 by the Treaty of Warsaw. Twelve days later on 20 January 1745, the death of the Holy Roman Emperor, Charles VII, submitted the imperial title to a new election. Charles VII's son and heir, Maximilian III of Bavaria, was not even considered a candidate for the Imperial throne. The Bavarian army was again unfortunate. Caught in its scattered winter quarters , it was driven from point to point by a maneuver by the Austrian army under the joint command of Count Batthyány, Baron Bernklau and Count Browne. All Bavarian garrisons fled to the east. The Bavarian Army under the command of Count Törring was divided and paralyzed. The French in the area under Count Ségur marched to save the day. Count Sègur's force out-numbered the Austrian army under Count Batthyany, yet Sègur and the French army were defeated at the Battle of Pfaffenhofen. The young elector Maximilian III had to abandon Munich once more. The Peace of Füssen followed on 22 April 1745, by which Maximilian III secured his hereditary states on condition of supporting the candidature of the Grand-Duke Francis, consort of Maria Theresa. The "imperial" army ceased ipso facto to exist.
Question: How many months passed between the formation of the Quadruple Alliance and the Peace of Füssen?
Answer: 3