Question: Which location, Nusretiye Mosque and Dolmabahçe Palace served as the main administrative center of the Ottoman Empire from 1856 to 1887 and 1909 to 1922?

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BJK İnönü Stadium: İnönü Stadium (Turkish: "İnönü Stadyumu" ) was a football stadium in Istanbul, Turkey and the home ground of the football club Beşiktaş J.K..  Previously the ground had also been shared with Galatasaray and Fenerbahçe S.K..  The ground was located in Dolmabahçe, close to the Dolmabahçe Palace in the district of Beşiktaş, on the European side of Istanbul.  The stadium was demolished except the walls of the Eski Açık tribune and its historical towers to rebuild a new stadium at the same location which is called Vodafone Arena.

Bakhchisaray Palace: The Khan's Palace or Hansaray is located in the town of Bakhchysarai, Crimea.  It was built in the 16th century and became home to a succession of Crimean Khans.  The walled enclosure contains a mosque, a harem, a cemetery, living quarters and gardens.  The palace interior has been decorated to appear lived in and reflects the traditional 16th-century Crimean Tatar style.  It is one of the best known Muslim palaces found in Europe, alongside Topkapı Palace, Dolmabahçe Palace, Yıldız Palace, Aynalıkavak Palace, Edirne Palace, Çırağan Palace in Turkey and the Alhambra in Spain.

Decline and modernization of the Ottoman Empire: Beginning from the late eighteenth century, the Ottoman Empire faced challenges defending itself against foreign invasion and occupation.  In response to foreign threats, the empire initiated a period of tremendous internal reform which came to be known as the Tanzimat, which succeeded in significantly strengthening the Ottoman central state, despite the empire's precarious international position.  Over the course of the nineteenth century, the Ottoman state became increasingly powerful and rationalized, exercising a greater degree of influence over its population than in any previous era.  The process of reform and modernization in the empire began with the declaration of the Nizam-ı Cedid (New Order) during the reign of Sultan Selim III (r. 1789-1807) and was punctuated by several reform decrees, such as the Hatt-ı Şerif of Gülhane in 1839 and the Hatt-ı Hümayun in 1856.  At the end of this period, marked with 1908, to a degree the Ottoman military became modernized and professionalized according to the model of Western European Armies.  The period was followed by defeat and dissolution of the Ottoman Empire (1908–1922).

Lala Mustafa Pasha Mosque: The Lala Mustafa Pasha Mosque (Turkish: Lala Mustafa Paşa Camii), originally known as the Cathedral of Saint Nicholas and later as the Ayasofya (Saint Sophia) Mosque of Mağusa, is the largest medieval building in Famagusta, Northern Cyprus.  Built between 1298 and c. 1400, it was consecrated as a Roman Catholic cathedral in 1328.  The cathedral was converted into a mosque after the Ottoman Empire captured Famagusta in 1571 and it remains a mosque to this day.  From 1954 the building has taken its name from Lala Mustafa Pasha, the Grand Vizier of the Ottoman Empire from Sokolovići in Bosnia, who served Murat III and led Ottoman forces against the Venetians in Cyprus.

Nusretiye Clock Tower: Nusretiye Clock Tower, aka Tophane Clock Tower, is a clock tower situated in Tophane, a neighborhood in Beyoğlu district of Istanbul, Turkey next to Nusretiye Mosque and Tophane Kiosk at the European waterfront of Bosphorus.  It was ordered by the Ottoman sultan Abdülmecid I (1823-1861), designed by architect Garabet Amira Balyan and completed in 1848.

Nusretiye Mosque: Nusretiye Mosque is an ornate mosque located in Tophane district of Beyoğlu, Istanbul, Turkey.  While its architecture is influenced by Islamic elements, it retains a Baroque style, making it unique to the city.  It was built in 1823-1826 by Sultan Mahmut II.

Partition of the Ottoman Empire: The partition of the Ottoman Empire (Armistice of Mudros, 30 October 1918 – Abolition of the Ottoman Sultanate, 1 November 1922) was a political event that occurred after World War I and the occupation of Constantinople by British, French and Italian troops in November 1918.  The partitioning was planned in several agreements made by the Allies early in the course of World War I, notably the Sykes-Picot Agreement.  As world war loomed, the Ottoman Empire sought protection but was rejected by Britain, France, and Russia, and finally formed the Ottoman–German Alliance.  The huge conglomeration of territories and peoples that formerly comprised the Ottoman Empire was divided into several new states.  The Ottoman Empire had been the leading Islamic state in geopolitical, cultural and ideological terms.  The partitioning of the Ottoman Empire led to the rise in the Middle East of Western powers such as Britain and France and brought the creation of the modern Arab world and the Republic of Turkey.  Resistance to the influence of these powers came from the Turkish national movement but did not become widespread in the post-Ottoman states until after World War II.

Dolmabahçe Clock Tower: Dolmabahçe Clock Tower (Turkish: "Dolmabahçe Saat Kulesi" ) is a clock tower situated outside Dolmabahçe Palace in Istanbul, Turkey.  The tower was ordered by Ottoman sultan Abdülhamid II (1842–1918) and designed by the court architect Sarkis Balyan between 1890 and 1895.

Abdulmejid I: Abdülmecid I (Ottoman Turkish: عبد المجيد اول "‘Abdü’l-Mecīd-i evvel"; 23/25 April 182325 June 1861), also known as Abdulmejid and similar spellings, was the 31st Sultan of the Ottoman Empire and succeeded his father Mahmud II on 2 July 1839.  His reign was notable for the rise of nationalist movements within the empire's territories.  Abdulmejid wanted to encourage Ottomanism among the secessionist subject nations and stop the rise of nationalist movements within the empire, but failed to succeed despite trying to integrate non-Muslims and non-Turks more thoroughly into Ottoman society with new laws and reforms.  He tried to forge alliances with the major powers of Western Europe, namely the United Kingdom and France, who fought alongside the Ottoman Empire in the Crimean War against Russia.  In the following Congress of Paris on 30 March 1856, the Ottoman Empire was officially included among the European family of nations.  Abdulmejid's biggest achievement was the announcement and application of the Tanzimat "(reorganization)" reforms which were prepared by his father and effectively started the modernization of the Ottoman Empire in 1839.  For this achievement, one of the Imperial anthems of the Ottoman Empire, the March of Abdulmejid, was named after him.

Dolmabahçe Palace: Dolmabahçe Palace (Turkish: "Dolmabahçe Sarayı" , ] ) located in the Beşiktaş district of Istanbul, Turkey, on the European coast of the Bosphorus, served as the main administrative center of the Ottoman Empire from 1856 to 1887 and 1909 to 1922 (Yıldız Palace was used in the interim).

Supporting paragraphs: Nusretiye Mosque Dolmabahçe Palace
Answer: Dolmabahçe Palace