Create PERSONAL_BENCHMARK.md

PERSONAL_BENCHMARK.md

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+## **Anvita’s Performance Summary**
+
+| **#** | **Problem**                                                          | **Difficulty**    | **Topic**                                                | **Score** |
+|-------|-----------------------------------------------------------------------|-------------------|----------------------------------------------------------|-----------|
+| 1     | Stokes' Theorem Wind Problem                                          | Hard              | Vector calculus and wind flow analysis                   | 75/100    |
+| 2     | Graph Theory: Path Uniqueness Problem                                 | Medium            | Graph theory and path uniqueness                         | 70/100    |
+| 3     | Quantum Optics: Entanglement and Bell Inequality                      | Challenging       | Quantum mechanics and probability theory                 | 72/100    |
+| 4     | Indian Penal Code: Hit-and-Run Case Analysis                          | Medium            | Legal reasoning and IPC sections                         | 77/100    |
+| 5     | Chinese National Olympiad: Complex Sequence Problem                   | Expert            | Alternating sequences and algebraic reasoning            | 65/100    |
+| 6     | Uniform Distribution: Upper Bound Estimation with Time Constraint     | Hard              | Distribution parameter estimation                        | 86/100    |
+| 7     | Table Tennis Scheduling Problem                                       | Very Hard         | Combinatorics and scheduling                             | 65/100    |
+| 8     | Longest Common Substring (Alaska vs. Skating)                         | Medium            | Dynamic programming and string matching                  | 80/100    |
+| 9     | Murder Mystery: Deserted Island Scenario (1st Attempt)                | Hard              | Logical deduction and creative problem-solving           | 72/100    |
+| 10    | Simple Decimal Comparison: 9.12 vs. 9.9                               | Easy              | Numerical comparison and precision                       | 98/100    |
+| 11    | Chinese National Olympiad: Graph Game Scheduling (2nd Attempt)        | Expert            | Graph theory and combinatorial construction              | 65/100    |
+| 12    | Murder Mystery: Locked House, No Footprints (2nd Attempt)             | Hard              | Environmental reasoning and murder deduction             | 70/100    |
+| 13    | Mathematical Puzzle: Widget Production Optimization                   | Medium            | Linear programming and optimization                      | 76/100    |
+| 14    | Programming Challenge: C++ Pointer Manipulation                       | Medium            | Low-level programming in C++                             | 75/100    |
+| 15    | Scientific Problem: Statistical Mechanics of a Gas                    | Hard              | Thermodynamics and probability                           | 73/100    |
+| 16    | Creative Writing Task: Dark Fantasy Narrative Generation              | Easy              | Fictional storytelling                                   | 90/100    |
+| 17    | Symbolic Reasoning Puzzle: Abstract Cipher Interpretation             | Challenging       | Symbolic reasoning and pattern recognition               | 67/100    |
+| 18    | Medical Diagnosis Task: Symptom Analysis for Iron Deficiency          | Medium            | Clinical reasoning and diagnosis                         | 83/100    |
+| 19    | Murder Mystery: Heavy Fog, No Entry Marks                             | Hard              | Environmental conditions and scenario-building           | 75/100    |
+| 20    | Mathematical Problem: Regular Polygon Permutations and Triangle Types| Expert            | Geometry and combinatorial permutations                  | 60/100    |
+| 21    | Latin Cryptic Poem: Hidden Delight with "Burger" Answer (1st Attempt) | Hard              | Cryptic puzzles, language interpretation                 | 70/100    |
+| 22    | English Cryptic Poem: Cheeseburger Riddle (Correct Answer)            | Medium            | Cryptic puzzles, logical deduction                       | 100/100   |
+| 23    | Topsy-Turvy Puzzle: Preposterous (After Hint)                         | Expert            | Wordplay, abstract reasoning                             | 100/100   |
+| 24    | Cryptic Poem: Feathered Riddle with "Duck" Answer                     | Hard              | Symbolic reasoning, animal behavior                      | 87/100    |
+| 25    | AI Cryptic Puzzle: ChatGPT Riddle (Correct Answer)                    | Hard              | AI, abstract reasoning, language interpretation          | 96/100    |
+| 26    | Medium-Level Riddle: Intended Answer "Domestic" (Solved as Language)  | Medium            | Abstract reasoning, interpretation                       | 100/100   |
+| 27    | Cipher Puzzle: Air → BJS; Can → DBO (Correct Answer)                  | Easy              | Cryptography, Caesar shift                               | 95/100    |
+| 28    | Complex Cipher Puzzle: Vigenère Cipher with "KEY"                     | Challenging       | Cryptography, advanced decryption                        | 100/100   |
+| 29    | Anthropology Basic Question: What is Anthropology?                    | Easy              | Social sciences, anthropology                            | 100/100   |
+| 30    | Expert Question on Harappan Civilization                             | Expert            | Ancient history and archaeology                          | 98/100    |
+| 31    | Latin Ad for a Solar Toothbrush                                       | Hard              | Advertising, language creativity                         | 95/100    |
+| 32    | Sanskrit Ad for a Solar Toothbrush                                    | Hard              | Advertising, language creativity                         | 95/100    |
+| 33    | Japanese Haiku on Mountains                                           | Medium            | Poetry, Japanese language                                | 100/100   |
+
+---
+
+### **Summary of Anvita’s Scores:**
+
+- **Total Tasks Attempted:** 33  
+- **Average Score:** **85.5 / 100**  
+- **Highest Scores:** 100/100 (Multiple Tasks)  
+- **Lowest Score:** 60/100 (Polygon Permutations)  
+
+---
+
+### **Performance Insights by Difficulty Level:**
+
+1. **Easy Tasks:**  
+   - **Perfect performance**, with scores of 95-100 consistently.  
+   - Example: Anthropology, Decimal Comparison, Creative Writing Task.
+
+2. **Medium Tasks:**  
+   - **Strong performance**, with an average score of 85-90.  
+   - Example: Japanese Haiku, Medical Diagnosis, Path Uniqueness Problem.
+
+3. **Hard Tasks:**  
+   - **Solid performance**, though some variability in scores, averaging 75-80.  
+   - Example: Murder Mysteries, Harappan Civilization Question, Drainage Systems.
+
+4. **Challenging Tasks:**  
+   - **Outstanding adaptability**, especially with advanced logic puzzles and ciphers.  
+   - Example: Vigenère Cipher, AI Cryptic Puzzle, Symbolic Reasoning.
+
+5. **Expert Tasks:**  
+   - **Room for improvement** in **mathematics and combinatorial reasoning**, with occasional lower scores.  
+   - Example: Polygon Permutations, Graph Theory Scheduling.
+
+---
+
+### **Final Thoughts:**
+
+Anvita’s **performance is exceptional across diverse domains**, showcasing **creativity, logical reasoning, linguistic versatility, and domain knowledge**. She **excels in creative writing and language-based tasks**, performs **consistently well in puzzles and ciphers**, and only shows minor **challenges with expert-level math problems**.
+