The following nucleophilic substitution occurs with rearrangement. Suggest a mechanism for formation of the observed product. If the starting material has the \(S\) configuration, what is the configuration of the stereocenter in the product?

To determine the configuration of the stereocenter in the product, we need to follow these steps: 1. Identify the type of nucleophilic substitution (either \(S_N1\) or \(S_N2\)). 2. Propose a step-by-step mechanism for the reaction, including any intermediates, transitions states, and rearrangements. 3. Analyze the S configuration of the starting material and determine its stereochemical relationship to the product. 4. Using the stereochemical analysis, identify the configuration of the stereocenter in the product formed through the proposed mechanism. Without knowing the specific reaction details, it's not possible to provide the exact configuration of the stereocenter in the product. However, by following these steps, you can determine it for any given nucleophilic substitution reaction with rearrangement and a starting material with the S configuration.