計算 $\frac{1}{1}+\left(\frac{1}{3}+\frac{2}{3}\right)+\left(\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}\right)+\dots +\left(\frac{1}{113}+\frac{2}{113}+\dots +\frac{112}{113}\right)=?$