The sum of elements in \(n\)th row is given by \(f\left( n \right) \), while the sum of elements in \(n\) consecutive rows starting from the first row is given by \(g\left( n \right) \).

If \(s=\frac { g\left( 2013 \right) }{ f\left( 2013 \right) } \), find the positive square root of digital sum of \(s\).

\(Details\)

Digital sum of \(s\) is equal to sum of digits of \(s\).

Digital sum of \(2013 = 2+0+1+3=6\).

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