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:
- Reverse and Count Vowels
- Custom Merge Sort with Inversion Count
- Find Shortest Path in Weighted Graph
- Count Unique Paths in a Grid
- Longest Increasing Subsequence with Constraints
- Determine DNA Base Pairing
- String Transformation and Analysis
- Fraction Simplification
- Matrix Spiral Traversal
- Custom Radix Sort for Positive Integers
- String Compression with Patterns
- Maximal Subarray Sum with Constraints
- Character Frequency Analysis
- String Palindrome and Anagram Checker
- Nested List Sum with Depth Weighting
- Nested List Product with Depth Weighting
- Character Frequency Rearrangement
- Optimized Binary Search with Nested Structures
- Custom Bucket Sort with Range Constraints
- Graph Colorability Checker
- Optimized Dynamic Programming with Duplicates
- Nested Dictionary Value Aggregation
- Custom Quick Sort with Median of Medians
- Nested List Depth Average
- Advanced K-way Merge Sort
- Optimal Coin Change with Limited Supply
- Optimized Merge Sort with Arbitrary Sort Criteria
- Hierarchical Employee Salary Calculation
- Custom Heap Sort with Priority Levels
- String Pattern Replacer
- String Rotation and Count Unique Characters
- Custom Heap Sort with Dynamic Priority Adjustment
- Pattern Removal from String
- Maximum Product Subarray with Constraints
- Minimize Cost of Coin Change with Constraints
- String Interleaving with Constraints
- Frequency-Preserving Rearrangement
- Nested Fibonacci Sequence Sum
- Unique Graph Path
- Mixed Case Word Transposition
- Graph Connectivity and Cycle Detection
- String Reversal and Character Mapping
- Longest Palindromic Subsequence with Constraints
- Custom Heap Sort with Dynamic Element Prioritization
- Graph Traversal with Unique Path Counting
- Optimal Subset Sum with Constraints
- Hierarchical Data Aggregation
- Nested Palindrome Checker
- Minimal Spanning Tree and Minimum Path Finding
- Optimal Task Assignment with Constraints
- Finding Path with Maximum Sum in Weighted Digraph
- Balanced Partition Problem
- Optimal Word Break with Constraints
- Component Counting in Nested Structures