# For the new year!

Let $$t(n)$$ denote the number of positive divisors of $$n$$ including 1 and $$n$$. Define $$s(n)=t(1) +t(2)+\cdots+t(n)$$.

Let $$A$$ denote the number of positive integers $$n\leq 2015$$ with $$s(n)$$ odd; and
let $$B$$ denote the number of positive integers $$n \leq 2015$$ with $$s(n)$$ even.

Find $$|A-B|$$.

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