Absolute Value

Algebra Level pending

Given that \(n\) real numbers \(x_1,x_2,...,x_n\) satisfy \(\mid x_i\mid<1\) (\(i=1,2,...,n\), and \[\sum_{i=1}^n| x_i|=49+|\sum_{i=1}^nx_i|\] Find the minimum possible value of \(n\).

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