TASK DEFINITION: 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.
PROBLEM: Passage: Louis arrived in Charleroi on 5 May 1672. Turenne's 50,000 men set off on 11 May. Arrived at Vise, Louis decided not to lay siege to Maastricht but only to occupy the surrounding forts of Tongeren, Maaseik and Valkenburg so its garrison stayed bottled up. Moving along the Rhine, Rheinberg, Wesel, Burick and Orsoy were taken. Turenne then took Nijmegen , with 4,000 infantry and 400 cavalry, and from there Fort Crevecur near 's-Hertogenbosch, which fell after only two days. In view of these defeats, the Dutch public panicked and rioted. Leading politicians Johan and Cornelis de Witt were lynched by an angry Orangist mob, following rumours that they were planning the assassination of William of Nassau . On 4 July, William was acclaimed stadtholder. As the French had promised the major cities of Holland to the English, they were in no hurry to capture them. The French tried to gain sixteen million guilders from the Dutch in exchange for a separate peace. This demand and other conditions posed by the French stiffened Dutch resistance. Negotiations gave the Republic time to finish the inundations along the Dutch Water Line, started on 22 June 1672. Luxembourg laid siege to Groningen but failed to take it. An attempt was made to invade the Republic by sea; this was thwarted by Admiral Michiel de Ruyter in four strategic victories against the combined Anglo-French fleet . The first of these naval victories was the Battle of Solebay.
Question: What 1/12 of the year did Louis arrive in Charleroi?

SOLUTION: date

PROBLEM: Passage: Coming off their loss to the Ravens, the Patriots looked to get back to .500 against the lowly Bills. The Bills moved the ball well on their opening drive, reaching the Patriots 38, but were forced to punt. The Patriots stormed 90 yards in 7 plays, scoring on a 6-yard touchdown run by Ridley, giving the Patriots an early 7-0 lead. Mayo intercepted Ryan Fitzpatrick on the Bills ensuing drive, but the Patriots punted. After another Fitzpatrick interception, the Patriots drove to the Bills 31, but Gostkowski missed a 49-yard field goal. Two possessions later, Gronkowski lost a fumble with the Jairus Byrd recovering at the Patriots 24. On the very first play, Fitzpatrick connected with Scott Chandler for a 24-yard touchdown pass, tying the game 7-7. Starting at their own 19, the Patriots drove to the Bills 24, but Gostkowski missed a 42-yarder, keeping the game tied. The Bills took advantage, racing 62 yards in just 5 plays, scoring on another touchdown pass to Chandler, taking a 14-7 lead. Welker was stripped by Byrd on the Patriots next drive with Bryan Scott returning it to the Patriots 21. Four plays later, the Bills coughed it up themselves with Fred Jackson losing it at the Patriots 4. The Patriots ran out the rest of the clock, sending the game to halftime down 14-7. After a Patriots punt, the Bills raced 83 yards in just 5 plays, with Ryan Fitzpatrick bombing a 68-yard touchdown pass to Donald Jones, widening the lead to 21-7. The Patriots answered on their next drive, storming 80 yards in 8 plays with Woodhead taking a 17-yard screen pass to the house, trimming the deficit to 21-14. After a Bills punt, the Patriots constructed an 8 play, 85-yard drive, scoring on a 4-yard touchdown run by Brady, tying the game 21-21. After another Bills punt, the Patriots raced 63 more yards in just 5 plays, taking the lead on Brady's 28-yard touchdown pass to Gronkowski. All of a sudden down 28-21, the situation only got worse for the Bills when C. J. Spiller lost a fumble at the Bills 37 and the Patriots recovering. Six plays later, Ridley scored on a 2-yard touchdown run, increasing the lead to 35-21. On the fourth play of the Bills next drive, McCourty intercepted Fitzpatrick at the Bills 46 and returning it 34 yards to the Bills 12. Two plays later, Brandon Bolden scored on a 7-yard touchdown run, putting the Patriots up 42-21. The Bills finally scored again on their next drive, racing 80 yards in 11 plays, scoring on a 35-yard touchdown pass to Brad Smith, trimming the deficit to 42-28. After recovering the onside kick attempt at the Bills 48, the Patriots raced 52 yards in 6 plays, with Brady hitting Lloyd on a 25-yard touchdown pass, putting the game out of reach late in the fourth quarter. Fitzpatrick threw his fourth interception of the game to Tavon Wilson on the next drive, with Wilson returning it 22 yards to the Bills 19. The Patriots reached the Bills 13, and Gostkowski added a 31-yard field goal, making the final score 52-28. In the win, the Patriots became only the second team in NFL historyafter the 2008 Green Bay Packersto have two players with 100 yards receiving (Welker and Gronkowski) and two players with 100 yards rushing (Bolden and Ridley) in the same game. Brady threw for 340 yards and 3 touchdowns while Bolden (137 yards, 1 touchdown) and Ridley (106 yards, 2 touchdowns) chimed in to make it the most points the Patriots had scored since 2009 as the team improved to 2-2.
Question: How many points did New England trail by at halftime?

SOLUTION: number

PROBLEM: Passage: Marino finished the game with 29 out of 50 pass completions for 318 yards, 1 touchdown, and 2 interceptions. Clayton was the top receiver of the game, with 6 receptions for 92 yards. Walker returned 4 kickoffs for 93 yards and gained 15 yards on 2 punt returns. Nathan was the Dolphins leading rusher with 18 yards, while also catching 10 passes for 83 yards. Craig had 58 rushing yards, 77 receiving yards, and 3 touchdowns. He was the first player ever to score 3 touchdowns in a Super Bowl, and his 2 touchdown catches also tied a Super Bowl record. Tyler led San Francisco in rushing with 65 yards, and also caught 4 passes for 70 yards. Clark caught 6 passes for 77 yards. Board recorded 2 sacks. McLemore recorded 51 punt return yards, the second most in Super Bowl history. Sports Illustrated called 49ers defensive tackle Gary Johnson (American football) the Super Bowls "unofficial defensive MVP" after he recorded one sack, flushed Marino out of the passing pocket numerous times, and had four unassisted tackles.
Question: Who had a higher average of yards per caught pass, Tyler or Clark?

SOLUTION:
span