1. Load the dataset from "noisyTerrain/data/noisyTerrain.vtu". 2. Compute the persistence diagram on the scalar field named "Blend". 3. Apply a threshold to filter out pairs with persistence value less than 1. 4. Save the persistence diagram as "noisyTerrain/results/{agent_mode}/noisyTerrain.vtk" in legacy VTK format. - The output should contain the points in the persistence diagram as point data, and each persistence pair is represented as a cell. - Include the following three scalar arrays with the given names and purposes: * "Birth" array: store the birth value of each pair. * "Persistence" array: store the persistence value of each pair. * "IsFinite" array: use 1 to mark finite persistence and 0 to mark infinite persistence.