Find a positive integer n such that ⌊1320n⌋+⌈2013n⌉=2013.
This problem is proposed by Ahaan Rungta.
Details and assumptions:
The function ⌊x⌋:R→Z refers to the greatest integer smaller than or equal to x. For example ⌊2.3⌋=2 and ⌊−5⌋=−5.
The function ⌈x⌉:R→Z refers to the smallest integer that is greater than or equal to to x. For example, ⌈2.3⌉=3 and ⌈−5⌉=−5.