This task involves annotating the answer type to a given question that involve some kind of complex reasoning (including numerical reasoning). Note that the questions require looking at more than one part of the passage to answer. There are 3 possible answer types (i) spans, (ii) numbers and (iii) dates. If the answer can be found in the passage, label it as "span". If the answer is a number, label as "number". Similarly, label "date" if you think the answer to the given question is a date.

Input: Consider Input: Passage: At the 2010 United States Census, there were 1,585,873 people living in Manhattan, an increase of 3.2% since 2000. Since 2010, Manhattans population was estimated by the Census Bureau to have increased 5.0% to 1,664,727 , representing 19.3% of New York Citys population of 8,622,698 and 8.4% of New York States population of 19,849,399. As of the 2017 Census estimates, the population density of New York County was around 72,918 people per square mile (28,154/km²), the highest population density of any county in the United States. In 1910, at the height of European immigration to New York, Manhattans population density reached a peak of 101,548 people per square mile (39,208/km²).
Question: Was the population density of New York County higher in 2017 or 1910?

Output: date


Input: Consider Input: Passage: By this time Hu Zongxian had almost collected his strength: Lu Tang had won a decisive victory in Taizhou south of Ningbo and came back to help deal with Xu Hai; while 6000 fresh aboriginal soldiers from Baojing and Yongshun were on its way to come to Hu Zongxian's aid. The imperial inspector Zhao Wenhua reiterated the emperor's wishes that surrender was not an option, so Hu Zongxian made a show of receiving Xu Hai's surrender while waiting for the opportune moment to strike. In the meantime Xu Hai had settled in the Shen Family Estate  of Pinghu, where he recruited up to 300 new followers by hosting banquets for his neighbours, adding to the thousand or more raiders still under his command and remnants of Chen Dong's group next to the estate. He grew increasingly recalcitrant, refusing an invitation to an official Mid-Autumn party and even killing an envoy from Hu Zongxian. In late September, reinforcements from Baojing and Yongshun arrived and began small-scale skirmishes around the Shen Family Estate. Before commencing the final attack, Hu Zongxian persuaded his captive Chen Dong to write a letter to his followers encamped next to Xu Hai's forces, warning them that Xu Hai was conspiring with government troops to wipe them out in a pincer operation. This provoked Chen Dong's men into attacking Xu Hai's group on September 27, upon which government forces entered the fray from all directions, killing indiscriminately. On September 29, the battle ended with up to 1600 marauders killed in the estate, and Xu Hai's body was found in a nearby stream. On October 10, Chen Dong, Ye Ma, and Xu Hai's hostage brother were all executed in Jiaxing, marking the end of the wokou invasion of 1556.
Question: By whose direction did Zhao Wenhua indicate that surrender was not an option?

Output: span


Input: Consider Input: Passage: After the August 15, 1971 Nixon shock, the price began to greatly increase, and between 1968 and 2000 the price of gold ranged widely, from a high of $850 per troy ounce ($27.33/g) on January 21, 1980, to a low of $252.90 per troy ounce ($8.13/g) on June 21, 1999 (London Gold Fixing). Prices increased rapidly from 2001, but the 1980 high was not exceeded until January 3, 2008, when a new maximum of $865.35 per troy weight was set. Another record price was set on March 17, 2008, at $1023.50 per troy ounce ($32.91/g).
Question: Which date was the price of gold higher, March 17, 2008 or January 3, 2008?


Output: date