Let \(S_{k},k = 1,2,\ldots,100\), denote the sum of the infinite geometric series whose first term is \(\frac{k - 1}{k!}\) and the common ratio is \(\frac{1}{k}\). Then the value of \(\frac{100^{2}}{100!} + \sum_{k = 1}^{100}\mspace{2mu}\left| \left( k^{2} - 3k + 1 \right)S_{k} \right|\) is\\