1. Please load the dataset from "QMCPACK/data/QMCPACK.vti".

2. Compute the critical points of the scalar field.

3. Save the critical points as "QMCPACK/results/{agent_mode}/QMCPACK.vtk" in legacy VTK format.
    - The output should contain the critical points as point data
    - Include an array called "CriticalType" that labels each point according to what type of critical type it is. Use the following convention:
    * 0 for minima
    * 1 for 1-saddles
    * 2 for 2-saddles  
    * 3 for maxima
    * 4 for degenerate critical points
    - The point coordinates should be in index space (grid coordinates), not world coordinates

4. Analyze the visualization and answer the following questions:
    Q1: How many index 1 saddles are there: 
    (A) 248 (B) 274 (C) 299 (D) 344

    Q2: What is the type of critical point closest to coordinates (4,58,12): 
    (A) minimum (B) 1-saddle (C) 2-saddle (D) maximum
Save the answers to the analysis questions in plain text as "QMCPACK/results/{agent_mode}/answers.txt".