Question: When did the country fall where Ingenic Semiconductor is headquartered?

full_context: Document 1: Qing dynasty: The dynasty was founded by the Jurchen Aisin Gioro clan in Manchuria. In the late sixteenth century, Nurhaci, originally a Ming vassal, began organizing Jurchen clans into "Banners", military-social units. Nurhaci formed these clans into a unified entity, the subjects of which became known collectively as the Manchu people. By 1636, his son Hong Taiji began driving Ming forces out of Liaodong and declared a new dynasty, the Qing. In 1644, peasant rebels led by Li Zicheng conquered the Ming capital Beijing. Rather than serve them, Ming general Wu Sangui made an alliance with the Manchus and opened the Shanhai Pass to the Banner Armies led by Prince Dorgon, who defeated the rebels and seized Beijing. The conquest of China proper was not completed until 1683 under the Kangxi Emperor (r. 1661–1722). The Ten Great Campaigns of the Qianlong Emperor from the 1750s to the 1790s extended Qing control into Central Asia. While the early rulers maintained their Manchu ways, and while their official title was Emperor they were known as khans to the Mongols and patronized Tibetan Buddhism, they governed using Confucian styles and institutions of bureaucratic government. They retained the imperial examinations to recruit Han Chinese to work under or in parallel with Manchus. They also adapted the ideals of the tributary system in international relations, and in places such as Taiwan, the Qing so-called internal foreign policy closely resembled colonial policy and control.
Document 2: Qing dynasty: The early Manchu rulers also established two foundations of legitimacy which help to explain the stability of their dynasty. The first was the bureaucratic institutions and the neo-Confucian culture which they adopted from earlier dynasties. Manchu rulers and Han Chinese scholar-official elites gradually came to terms with each other. The examination system offered a path for ethnic Han to become officials. Imperial patronage of Kangxi Dictionary demonstrated respect for Confucian learning, while the Sacred Edict of 1670 effectively extolled Confucian family values. The second major source of stability was the Central Asian aspect of their Manchu identity which allowed them to appeal to Mongol, Tibetan and Uighur constituents. The Qing used the title of Emperor (Huangdi) in Chinese while among Mongols the Qing monarch was referred to as Bogda khan (wise Khan), and referred to as Gong Ma in Tibet. Qianlong propagated the image of himself as Buddhist sage rulers, patrons of Tibetan Buddhism. In the Manchu language, the Qing monarch was alternately referred to as either Huwangdi (Emperor) or Khan with no special distinction between the two usages. The Kangxi Emperor also welcomed to his court Jesuit missionaries, who had first come to China under the Ming. Missionaries including Tomás Pereira, Martino Martini, Johann Adam Schall von Bell, Ferdinand Verbiest and Antoine Thomas held significant positions as military weapons experts, mathematicians, cartographers, astronomers and advisers to the emperor. The relationship of trust was however lost in the later Chinese Rites controversy.
Document 3: Ingenic Semiconductor: Ingenic Semiconductor is a Chinese fabless semiconductor company based in Beijing, China founded in 2005. They purchased licenses for the MIPS architecture instruction sets in 2009 and design CPU-microarchitectures based on them. They also design system on a chip products including their CPUs and licensed semiconductor intellectual property blocks from third parties, such as Vivante Corporation, commission the fabrication of integrated circuits at semiconductor fabrication plants and sell them.
Document 4: Qing dynasty: To extend and consolidate the dynasty's control in Central Asia, the Kangxi Emperor personally led a series of military campaigns against the Dzungars in Outer Mongolia. The Kangxi Emperor was able to successfully expel Galdan's invading forces from these regions, which were then incorporated into the empire. Galdan was eventually killed in the Dzungar–Qing War. In 1683, Qing forces received the surrender of Taiwan from Zheng Keshuang, grandson of Koxinga, who had conquered Taiwan from the Dutch colonists as a base against the Qing. Zheng Keshuang was awarded the title "Duke Haicheng" (海澄公) and was inducted into the Han Chinese Plain Red Banner of the Eight Banners when he moved to Beijing. Several Ming princes had accompanied Koxinga to Taiwan in 1661-1662, including the Prince of Ningjing Zhu Shugui and Prince Zhu Honghuan (朱弘桓), son of Zhu Yihai, where they lived in the Kingdom of Tungning. The Qing sent the 17 Ming princes still living on Taiwan in 1683 back to mainland China where they spent the rest of their lives in exile since their lives were spared from execution. Winning Taiwan freed Kangxi's forces for series of battles over Albazin, the far eastern outpost of the Tsardom of Russia. Zheng's former soldiers on Taiwan like the rattan shield troops were also inducted into the Eight Banners and used by the Qing against Russian Cossacks at Albazin. The 1689 Treaty of Nerchinsk was China's first formal treaty with a European power and kept the border peaceful for the better part of two centuries. After Galdan's death, his followers, as adherents to Tibetan Buddhism, attempted to control the choice of the next Dalai Lama. Kangxi dispatched two armies to Lhasa, the capital of Tibet, and installed a Dalai Lama sympathetic to the Qing.
Document 5: Qing dynasty: First, the Manchus had entered "China proper" because Dorgon responded decisively to Wu Sangui's appeal. Then, after capturing Beijing, instead of sacking the city as the rebels had done, Dorgon insisted, over the protests of other Manchu princes, on making it the dynastic capital and reappointing most Ming officials. Choosing Beijing as the capital had not been a straightforward decision, since no major Chinese dynasty had directly taken over its immediate predecessor's capital. Keeping the Ming capital and bureaucracy intact helped quickly stabilize the regime and sped up the conquest of the rest of the country. However, not all of Dorgon's policies were equally popular nor easily implemented.
Document 6: Qing dynasty: In 1725 Yongzheng bestowed the hereditary title of Marquis on a descendant of the Ming dynasty Imperial family, Zhu Zhiliang, who received a salary from the Qing government and whose duty was to perform rituals at the Ming tombs, and was also inducted the Chinese Plain White Banner in the Eight Banners. Later the Qianlong Emperor bestowed the title Marquis of Extended Grace posthumously on Zhu Zhuliang in 1750, and the title passed on through twelve generations of Ming descendants until the end of the Qing dynasty.
Document 7: Virtutech: On February 5, 2010, Intel announced that it had acquired Virtutech and that Simics will now be maintained by Intel's subsidiary Wind River Systems. The price of the acquisition was $45M.
Document 8: ZTE: ZTE, initially founded as Zhongxing Semiconductor Co., Ltd in Shenzhen, Guangdong province, in 1985, was incorporated by a group of investors associated with China's Ministry of Aerospace Industry. In March 1993, Zhongxing Semiconductor changed its name to Zhongxing New Telecommunications Equipment Co., Ltd with capital of RMB 3 million, and created a new business model as a "state-owned and private-operating" economic entity. Ties to the state notwithstanding, the firm evolved into the publicly traded ZTE Corporation, having made an initial public offering (IPO) on the Shenzhen stock exchange in 1997 and another on the Hong Kong stock exchange in December 2004.
Document 9: InnoDB: InnoDB became a product of Oracle Corporation after its acquisition of Finland-based Innobase Oy in October 2005. The software is dual licensed; it is distributed under the GNU General Public License, but can also be licensed to parties wishing to combine InnoDB in proprietary software.
Document 10: WonderMedia: WonderMedia is a fabless SoC company headquartered in Taipei, Taiwan. It is a subsidiary of VIA Technologies. It is notable for creating the low cost processors used in a large number of Chinese Android and Windows CE-based devices. The SoC designs are collectively called the WonderMedia PRIZM platform and are based on the reference implementations provided by ARM Holdings.
Document 11: XScale: XScale is a microarchitecture for central processing units initially designed by Intel implementing the ARM architecture (version 5) instruction set. XScale comprises several distinct families: IXP, IXC, IOP, PXA and CE (see more below), with some later models designed as SoCs. Intel sold the PXA family to Marvell Technology Group in June 2006. Marvell then extended the brand to include processors with other microarchitectures, like ARM's Cortex.
Document 12: Alchip: Alchip is a fabless semiconductor company founded in 2003 and headquartered in Taipei, Taiwan. Alchip specializes in the design and manufacture of digital CMOS ASICs.
Document 13: Qing dynasty: Ming government officials fought against each other, against fiscal collapse, and against a series of peasant rebellions. They were unable to capitalise on the Manchu succession dispute and installation of a minor as emperor. In April 1644, the capital at Beijing was sacked by a coalition of rebel forces led by Li Zicheng, a former minor Ming official, who established a short-lived Shun dynasty. The last Ming ruler, the Chongzhen Emperor, committed suicide when the city fell, marking the official end of the dynasty.
Document 14: ASIMCO Technologies: ASIMCO Technologies is a large independent automotive components manufacturer headquartered in Beijing, China. With sales in excess of US$500 million, the company is one of the largest producers of automotive components in China, with 10 manufacturing operations, 52 sales offices and roughly 900 service stations across the People's Republic of China. It is the first international components manufacturer based in China, with over 15% of its annual sales made to customers in the United States, Europe and Japan.
Document 15: Qing dynasty: The newly allied armies captured Beijing on June 6. The Shunzhi Emperor was invested as the "Son of Heaven" on October 30. The Manchus, who had positioned themselves as political heir to the Ming emperor by defeating the rebel Li Zicheng, completed the symbolic transition by holding a formal funeral for the Chongzhen Emperor. However the process of conquering the rest of China took another seventeen years of battling Ming loyalists, pretenders and rebels. The last Ming pretender, Prince Gui, sought refuge with the King of Burma, but was turned over to a Qing expeditionary army commanded by Wu Sangui, who had him brought back to Yunnan province and executed in early 1662.
ground_truth: June 6
sub_queries: Ingenic Semiconductor >> headquarters location Answer: Beijing
When did Beijing fall? Answer: June 6