3. For $i=1,2, \cdots, n$, we have $\left|x_{i}\right|<1$, and
$$
\left|x_{1}\right|+\left|x_{2}\right|+\cdots+\left|x_{n}\right|=19+\left|x_{1}+x_{2}+\cdots+x_{n}\right| \text {. }
$$

Find the minimum value of the positive integer $n$.