Tính tổng\[S=\frac{1}{2018}{{\left( C_{2018}^{1} \right)}^{2}}+\frac{2}{2017}{{\left( C_{2018}^{2} \right)}^{2}}+...+\frac{2017}{2}{{\left( C_{2018}^{2017} \right)}^{2}}+\frac{2018}{1}{{\left( C_{2018}^{2018} \right)}^{2}}\]