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Find ⌊3329×4137×4945×⋯×20092005×20172013⌋. \left\lfloor \frac{33}{29}\times \frac{41}{37}\times \frac{49}{45}\times \cdots \times \frac{2009}{2005}\times \frac{2017}{2013} \right\rfloor .⌊2933×3741×4549×⋯×20052009×20132017⌋.
Details and assumptions
The function ⌊x⌋:R→Z\lfloor x \rfloor: \mathbb{R} \rightarrow \mathbb{Z}⌊x⌋:R→Z refers to the greatest integer smaller than or equal to xxx. For example ⌊2.3⌋=2\lfloor 2.3 \rfloor = 2⌊2.3⌋=2 and ⌊−5⌋=−5\lfloor -5 \rfloor = -5⌊−5⌋=−5.
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