Berliner played for his countrys Olympiad team at 10th Chess Olympiad, drawing his only game on the second reserve board. Berliner played four times in the US Chess Championship. In 1954 at New York, he scored 6/13 to tie 89th places; Arthur Bisguier won. The last three times Berliner played in the U.S. Championship, Fischer won the tournament. In 195758 at New York, Berliner had his best result, 5th place with 7/13. In 196061 at New York, he scored 4/11, tying for 8th10th place. Finally in 196263 at New York, he scored 5/11 for a tied 7th8th place.

How many games is the difference between Berliner's most and fewest wins?
A: 2.5

With the loss of Dernbach Castle, the feud was lost for the knightly house based there. On 21 May 1333 it concluded a contract with Henry III of Nassau-Dillenburg, in which it sold all of rights in the Herborn and the Herborner Mark and many other rights in smaller settlements. The Dernbachers retained only the religious patronage rights and 13 courts in smaller villages. In 1334 Henry III of Nassau-Dillenburg was finally given Wallenfels Castle by Landgrave Henry II. On 30 July, a contract was once more concluded between Nassau and the Dernbachers, in which questions about the rights from the first peace treaty were clarified. On 21 May 1336 an agreement was also concluded between the Lords of Bicken and Nassau, in which they sold Hainchen Castle to the Count, but received rights to reign around Ebersbach. In 1350, the Lords of Dernbach, with the help of the Lords of Bicken in Hainchen and with the support of the Landgrave, built the castle of New Dernbach in the Hessian territory of Blankenstein . After the end of the feuds, the boundaries between Hessen and Nassau in the area were set, which remain still today as district boundaries. On 21 April 1486, a Heidenrich of Dernbach sold his remaining serfs in the Nassau area to the local count for a low price. With this, the Lordship of Dernbach was finally transferred to Nassau.

The contract with Henry III in 1333 only left the Dernbachers with what two things?
A: religious patronage rights

China, during the Qing Dynasty, ceded the island of Taiwan, including Penghu, to Japan "in perpetuity" at the end of the First Sino-Japanese War by signing the Treaty of Shimonoseki. In the Cairo Conference of 1943, the allied powers agreed to have Japan restore "all the territories Japan has stolen from the Chinese", specifically listing "Formosa" and Penghu, to the Republic of China after the defeat of Japan. According to both the People's Republic of China and the Republic of China, this agreement was given legal force by the Instrument of Surrender of Japan in 1945. The PRC's UN Ambassador, Wang Yingfan , has stated multiple times in the UN general committee: "Taiwan is an inseparable part of China's territory since antiquity" and "both the 1943 Cairo Declaration and the 1945 Potsdam Declaration have reaffirmed in unequivocal terms China's sovereignty over Taiwan as a matter of international law." The PRC rejects arguments involving the lack of a specific treaty transferring Taiwan's sovereignty to China by noting that neither PRC nor ROC was a signatory to any such treaty, making the treaties irrelevant with regard to Chinese claims. The ROC argues that the Treaty of Taipei implicitly transferred sovereignty of Taiwan to it, however the US State Dept. disagreed with such an interpretation in its 1971 Starr Memorandum

What event happened first, Cairo Declaration or Potsdam Declaration?
A:
Cairo Declaration