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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