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⌈⌊π⌋+⌊π+12016⌋+⌊π+22016⌋+⋯+⌊π+20152016⌋⌉+1= ? \large \left \lceil \lfloor \pi \rfloor + \left \lfloor \pi + \dfrac{1}{2016} \right \rfloor + \left \lfloor \pi + \dfrac{2}{2016} \right \rfloor + \cdots + \left \lfloor \pi + \dfrac{2015}{2016} \right \rfloor \right \rceil + 1 =\, ? ⌈⌊π⌋+⌊π+20161⌋+⌊π+20162⌋+⋯+⌊π+20162015⌋⌉+1=?
Notations: ⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function and ⌈⋅⌉ \lceil \cdot \rceil ⌈⋅⌉ denotes the ceiling function.
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