Input: Film speed
Film speed is used in the exposure equations to find the appropriate exposure parameters. Four variables are available to the photographer to obtain the desired effect: lighting, film speed, f-number (aperture size), and shutter speed (exposure time). The equation may be expressed as ratios, or, by taking the logarithm (base 2) of both sides, by addition, using the APEX system, in which every increment of 1 is a doubling of exposure; this increment is commonly known as a "stop". The effective f-number is proportional to the ratio between the lens focal length and aperture diameter, the diameter itself being proportional to the square root of the aperture area. Thus, a lens set to f/1.4 allows twice as much light to strike the focal plane as a lens set to f/2. Therefore, each f-number factor of the square root of two (approximately 1.4) is also a stop, so lenses are typically marked in that progression: f/1.4, 2, 2.8, 4, 5.6, 8, 11, 16, 22, 32, etc.

What is the effective f-number proportional to?
Output: the ratio between the lens focal length and aperture diameter

Input: Thuringia
Some reordering of the Thuringian states occurred during the German Mediatisation from 1795 to 1814, and the territory was included within the Napoleonic Confederation of the Rhine organized in 1806. The 1815 Congress of Vienna confirmed these changes and the Thuringian states' inclusion in the German Confederation; the Kingdom of Prussia also acquired some Thuringian territory and administered it within the Province of Saxony. The Thuringian duchies which became part of the German Empire in 1871 during the Prussian-led unification of Germany were Saxe-Weimar-Eisenach, Saxe-Meiningen, Saxe-Altenburg, Saxe-Coburg-Gotha, Schwarzburg-Sondershausen, Schwarzburg-Rudolstadt and the two principalities of Reuss Elder Line and Reuss Younger Line. In 1920, after World War I, these small states merged into one state, called Thuringia; only Saxe-Coburg voted to join Bavaria instead. Weimar became the new capital of Thuringia. The coat of arms of this new state was simpler than they had been previously.

Who led the unification of Germany in 1871?
Output: Prussian-led

Input: Religion in ancient Rome
Constantine successfully balanced his own role as an instrument of the pax deorum with the power of the Christian priesthoods in determining what was (in traditional Roman terms) auspicious - or in Christian terms, what was orthodox. The edict of Milan (313) redefined Imperial ideology as one of mutual toleration. Constantine had triumphed under the signum (sign) of the Christ: Christianity was therefore officially embraced along with traditional religions and from his new Eastern capital, Constantine could be seen to embody both Christian and Hellenic religious interests. He may have officially ended or attempted to end blood sacrifices to the genius of living emperors but his Imperial iconography and court ceremonial outstripped Diocletian's in their supra-human elevation of the Imperial hierarch. His later direct intervention in Church affairs proved a political masterstroke. Constantine united the empire as an absolute head of state, and on his death, he was honored as a Christian, Imperial, and "divus".

Besides the acceptance of Christianity, what other religious cults were tolerated?
Output: traditional religions

Input: Separation of church and state in the United States
Jefferson's letter entered American jurisprudence in the 1878 Mormon polygamy case Reynolds v. U.S., in which the court cited Jefferson and Madison, seeking a legal definition for the word religion. Writing for the majority, Justice Stephen Johnson Field cited Jefferson's Letter to the Danbury Baptists to state that "Congress was deprived of all legislative power over mere opinion, but was left free to reach actions which were in violation of social duties or subversive of good order." Considering this, the court ruled that outlawing polygamy was constitutional.

What was the topic of Reynolds v. U.S.?
Output:
Mormon polygamy