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 complex sorting 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:
- Hierarchical Lexicographic Sort
- Alphanumeric Pattern Transformation
- Custom Radix Sort with Base Conversion
- Optimal Substructure Graph Traversal
- Multi-Dimensional Array Spiral Sort
- Nested List Sum with Depth Weighting
- Prime Number Path in Graph
- Decoding a Varied Mysterious Cipher
- Unique Character Counter
- Matrix Diagonal Sorting Algorithm
- Minimum Cost Path in a Grid
- Nested Palindrome Checker
- Binary Tree Depth Sum
- Bidirectional Merging Cascade
- String Compression with Character Frequency
- Custom Frequency-Based Sort
- Nested Fibonacci Sequence Sum
- Vowel Consonant Rank Encoding
- Nested Polynomial Evaluation
- Custom Tuple Sorting Challenge
- Dynamic Subset Sum with Constraints
- Dynamic Coin Change with Limited Supply
- Nested Factorial Sequence Evaluation
- Fractal Symmetry Pattern Reconnaissance
- Dynamic Longest Palindromic Subsequence
- Optimal Job Scheduling with Deadlines
- Graph Cycle Detection with Unique Path Constraints
- Alternating Substring Transformation
- Dynamic Maximum Subarray Product with Constraints
- Custom Multi-Key Sort
- Non-Linear Arithmetic Sort
- Segmented Bucket Sort with Dynamic Range
- Hierarchical Topological Sort
- String Manipulation with Character Shifting
- Custom Sorting with Weighted Criteria
- Probability Path in Directed Graph
- Dynamic Longest Increasing Subsequence with Constraints
- Nested JSON Value Extraction
- Dynamic Programming with Recursive Sum
- Nested Interval Overlap Detection
- Weighted Graph Shortest Path with Constraints
- Sequential Alphabet Replacement
- Weighted Depth-Limited Path Sum
- String Transformation with Character Frequency
- Dynamic Matrix Path Sum with Constraints
- Multi-Stage Shortest Path with Constraint Nodes
- Custom Merge Sort with Inversion Count
- Symmetric Letter Block Reversal
- Custom Merge Sort with Unique Key Extraction
- Balanced Binary Partitioning Challenge
- Graph Traversal with Unique Node Constraints
- Dynamic Programming with Recursive Substring Sum
- Reversed Word Ladder Transformation
- Custom Sorting Based on Prime Factor Count
- Graph Traversal with Weighted Obstacle Removal
- Recursive Matrix Permutation Sort
- Nested List Combination Minimization
- Custom Bitwise Sorting Challenge
- String Manipulation with Reversal and Count
- Dynamic Herculean Array Transformation
- Unique Pathways in Grid with Multiple Cost Constraints
- Custom Hybrid Sorting Algorithm
- Nested Array Dominance Evaluation
- Dynamic Programming with Time Varying Multipliers
- Graph Traversal with Unique Weight Constraints
- Iterative Complex Frequency Sort
- Nested Max-Min Balance Evaluation
- Graph Traversal with Variable Weight Constraints
- Hierarchical Data Aggregation
- Nested Sum with Weight Distribution
- Dynamic Matrix Rotation with Constraints
- Cyclic String Rotation and Comparison
- Complex Nested List Transmutation
- Dynamic Route Optimization with Time Windows
- Graph Traversal with Unique Color Constraints
- Recursive Balanced Binary Tree Reconstruction
- String Pattern Reversal with Frequency Count
- Nested Prime Factorization Tree
- Dynamic Programming with Recursive Fraction Sum
- Dynamic Building Block Arrangement
- Character Replacement and Frequency Analysis
- Custom Sorting Based on Digit Sum
- String Transformation with Unique Character Mapping
- Custom Sorting Based on Character Vowel Count
- Fruit Sorting Conjecture
- Dynamic Subsequence Count with Constraints
- Nested Arithmetic Expression Evaluation
- Hierarchical Data Path Evaluation
- Weighted Graph Cycle Detection
- Custom Palindromic String Transformation
- Graph Traversal with Unique Path Length Constraints
- Palindrome Substring Reversal
- Weighted Positional Sorting
- Complex String Transformation with Pattern Matching
- Dynamic Array Partitioning
- Custom Multi-Dimensional Sorting Challenge
- Nested Recurrence List Transformation
- Graph Path with Maximum Alternating Sum
- Nested Matrix Path Sum with Constraints
- Graph Vertical Bisector Traversal
- Custom Sorting with Unique Key Criteria
- Dynamic Maximum Rectangle Area in Histogram
- Frequency-Based Hybrid Sort
- Nested Anagrammatic Sequence Detection
- Graph Traversal with Unique Edge Weights
- Weighted Graph Traversal with Unique Node Constraints
- Character Frequency Pyramid Formation
- Multi-Level Threshold Subset Selection
- String Manipulation with Unique Character Grouping
- Rotational Symmetry Substring Analysis
- Cycle Presence in Weighted Directed Graph
- Unique Path Count in a Grid with Obstacles
- Complex Quadratic Sorting Algorithm
- Nested List Intersection Challenge
- Circular Word Chain Formation
- String Manipulation with Unique Character Patterns
- Cumulative Character Count
- Dynamic Weighted List Pair Evaluation
- Complex Word Mapping Transform
- String Palindrome Rearrangement
- Graph Traversal with Unique Path Constraints
- Dynamic Optimal Time Share Allocation
- Graph Traversal with Unique Node Values
- Custom Sorting Based on Fibonacci Index
- Partial Sum Sequence Sort
- Nested Array Expansion Evaluation
- Reverse Substring Transformation
- Custom Sorting Based on Prime Count
- Dynamic Palindrome Partitioning with Constraints
- Custom Multi-Key Sorting Algorithm
- Recursive Fibonacci Triple Sort
- Dynamic Subsequence Count with Unique Constraints
- Dynamic Ternary String Transformation
- Multi-Criteria Box Sorting
- Complex Nested Permutation Sum
- Complex Array Permutation Sort
- Custom Bitwise Sorting with Masking
- Custom Merge Sort with Unique Character Key
- Cumulative Character Frequency Transformation
- Graph Traversal with Unique Path Constraints
- Dynamic Balanced Parentheses Matching
- Unique Path Count with Multiplied Letters
- Nested Modular Arithmetic Evaluation
- Custom Geometric Sorting Algorithm
- Custom Sorting Based on Digit Product
- Dynamic Knight's Tour with Movement Constraints
- String Transformation with Unique Character Mapping
- Binary Tree Reversal with Path Weights
- String Manipulation with Unique Character Grouping
- Dynamic Profit Maximization with Limited Orders
- Dynamic Level-based String Expansion
- Odd-Even Graph Path Traversal
- Custom Median Tracking in Stream
- Dynamic Maximal Rectangle in_nested_list
- Graph Traversal with Unique Node Values
- Optimal Kaplan-Eggars Sort Algorithm
- Dynamic Graph Traversal with Node Weighting
- Conditional Pattern Shift
- Dynamic Weighted Subset Selection
- Graph Traversal with Minimum Distance Constraints
- Nested Sum Computation with Index Weighting
- Graph Path with Alternating Node Values
- Custom Sorting Based on Digit Frequency
- Unique Graph Traversal with Prime Factor Constraints
- Nested Pyramid Pattern Generation
- Complex Anagram Rearrangement
- Multi-Level Tree Path Sum Evaluation
- Dynamic Subarray Product with Constraints
- Custom Nested List Sum
- Nested Matrix Transformation with Unique Constraints
- Custom Sorting Based on Character Frequency and Position
- Hierarchical Tree Depth Evaluation
- Cyclic Character Shift and Frequency Count
- Nested Matrix Spiral Traversal
- Dynamic Knapsack with Complex Constraints
- Graph Traversal with Unique Path Constraints
- Custom Sorting Based on Digit Sum and Frequency
- Custom Rank Sort Based on Vowel Weighting
- Complex Graph Traversal and Path Sum
- Unique Graph Traversal with Prime Factor Constraints
- Graph Traversal with Unique Node Values