Stack and unstack are pandas methods to reshape data. Starting with a DataFrame, stack() compresses columns into rows, resulting in a Series with a MultiIndex combining original row and column labels. This changes the shape from a 2D table to a 1D Series with hierarchical indexing. Unstack() reverses this process, taking a MultiIndex Series and expanding it back into a DataFrame with columns restored. The execution trace shows creating a DataFrame with two columns and two rows, stacking it to get a Series with four elements indexed by row and column labels, then unstacking back to the original DataFrame shape. Key points include understanding that stack changes the data structure type and shape, and unstack can restore the original DataFrame if the index matches. Missing data in the stacked Series will appear as NaN in the unstacked DataFrame. This process is useful for converting data between wide and long formats in data analysis.