Please generate a unique JSON object suitable for automating the programming task testing platform, strictly in the following format:
    {
  "Title": "Task Name",
  "Task Description": "Description of the task.",
  "Function Signature": "def function_name(parameters) -> return_type:",
  "Solve": "",
  "Input": "Description of the input parameters.",
  "Output": "Description of the expected output.",
  "Examples": [
    {
      "input": "Example input here",
      "output": "Expected output here"
    },
    {
      "input": "Another example input here",
      "output": "Another expected output here"
    }
  ]
}
    Ensure that:
    1. The task includes graph traversal algorithms.
    2. The JSON follows this exact structure and does not include any additional text or variations.
    3. The task should be complex and unique, avoiding direct copying from common platforms like LeetCode or similar sources.
    4. The solution must not use any imports in the code (i.e., no import statements).
    5. The 'Solve' section must remain empty.
    6. Ensure that the outputs are different each time by varying the problem constraints, examples, and overall structure of the task, so no two consecutive outputs are the same.
    7. Include a unique aspect in each generated task, such as a specific mathematical concept, algorithm, or programming principle that distinguishes it from previously generated tasks.
    8. The 'Function Signature' should strictly follow the format: 'def function_name(parameters) -> return_type:', but the 'Solve' section must remain empty. Ensure that the input description corresponds to the expected parameters in the signature.
    
Ensure that the solution must not be any of the following titles:
- Unique Path Count in a Directed Graph
- Network Cluster Detection
- Minimum Spanning Tree Weight Calculation
- Weighted Path with Maximum Sum
- Maximum Non-Adjacent Sum
- Matrix Spiral Traversal
- Longest Path in a Weighted Directed Acyclic Graph
- Optimal Stone Collecting with Constraints
- Find the Shortest Cycle in an Undirected Graph
- Count Distinct Paths with Obstacles
- String Transformation with Vowel Replacement
- Interleave two Strings
- Maximum Product Subarray with Constraints
- Custom Sorting with Unique Key
- Optimal Subsequence Sum with Constraints
- Nested List Sum with Depth Weighting
- Optimal String Window Sequence
- Unique Lattice Point Counting
- Reverse and Shift Vowels in String
- Anagram Comparison with Weights
- Custom Radix Sort with Frequency Count
- Nested Dictionary Value Summation
- Dynamic Subset Sum with Constraints
- Connected Component Count in a Tree
- String Compression with Character Frequency
- Cyclic Path Identification in a Weighted Graph
- Custom Palindrome Permutations Sorting
- Complex Interleaved Sorting
- Balanced Parentheses in Nested Structures
- Partition Arrays into Equal Sum Sets
- Graph Colorability Check
- Even-Odd Character Reorganization
- Graph Traversal with Special Conditions
- Advanced Multi-Dimensional Sorting
- Advanced Pairwise Sorting with Constraints
- Optimal Subset Selection for Maximum Value
- String Manipulation with Character Frequency
- Maximizing Traversal Score
- String Run-Length Encoding
- Dynamic Programming-Based Code Generation
- Optimal Coin Change with Limited Supply
- Minimum Cost Path with Dynamic Obstacles
- Disjoint Sets Finder in Graph