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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   |                                                     | **Difficulty**    | **Topic**                                                | **Score** |
| 34    | Widget Production Calculation                                      | Simple            | Math Puzzle                                              | 95/100    |
| 35     | Rectangle Area and Perimeter                                       | Complex           | Math Puzzle                                              | 90/100    |
| 36     | Gauge Block Thermal Expansion and Uncertainty                      | Complex           | Metrology                                                | 85/100    |
| 37    | Steel Rod Thermal Expansion and Relaxation                         | Deceptive         | Metrology                                                | 80/100    |
| 38    | Meningitis Diagnosis                                               | Medium            | Medical (Diagnosis)                                      | 90/100    |
| 39    | Farmer's Fence and Gate                                            | Deceptive         | Word Problem                                             | 95/100    |
| 40    | C++ Pointer Behavior                                               | Medium            | Computer Science                                         | 90/100    |
| 41    | Futuristic Emotion Dealer (Sci-Fi)                                 | Easy              | Creative Writing                                         | 95/100    |
| 42    | Cursed Knight's Quest (Dark Fantasy)                               | Easy              | Creative Writing                                         | 90/100    |
| 43    | Mad Scientist and Foresight (Sci-Fi)                               | Easy              | Creative Writing                                         | 90/100    |
| 44    | Ideal Gas Partition Function and Average Energy                    | Medium            | Statistical Mechanics                                    | 95/100    |
| 45    | Torus vs. Sphere Deformation                                       | Complex           | Algebraic Topology                                       | 80/100    |
| 46    | Missing Jewels Heist                                               | Complex           | General Reasoning                                        | 85/100    |
| 47    | Vanishing Violinist                                                | Complex           | Detective Conan Puzzle                                   | 75-85/100 |
| 48    | Counterfeit Cleat Sabotage                                         | Complex           | James Bond/Conan Mashup                                  | 70-80/100 |
| 49    | Ancient Cipher                                                     | Challenging       | Symbolic Reasoning                                       | 70-95/100 |
| 50   | AlphaZero’s Knight vs. Bishop Puzzle                               | Medium            | Game Theory & Reinforcement Learning                     | 88/100    |

---


### **Summary of Anvita’s Scores:**

- **Total Tasks Attempted:** 50  
- **Average Score:** **83.86 / 100**  
- **Highest Scores:** 100/100 (Multiple Tasks)  
- **Lowest Score:** 60/100 (Polygon Permutations)  

---

### **Performance Insights by Difficulty Level:**

1. **Easy Tasks:**  
   - **Excellent performance**, with an average score of **94/100**.  
   - Example: Anthropology, Decimal Comparison, Creative Writing Task.

2. **Medium Tasks:**  
   - **Strong performance**, with an average score of **86.46/100**.  
   - Example: Japanese Haiku, Medical Diagnosis, Path Uniqueness Problem.

3. **Hard Tasks:**  
   - **Solid performance**, averaging **81.27/100**, though with some variability.  
   - Example: Murder Mysteries, Harappan Civilization Question.

4. **Challenging Tasks:**  
   - **Good adaptability**, with an average score of **77.25/100**.  
   - Example: Vigenère Cipher, AI Cryptic Puzzle, Symbolic Reasoning.

5. **Expert Tasks:**  
   - **Room for improvement**, averaging **77.6/100** in **advanced mathematics and combinatorial reasoning**.  
   - Example: Polygon Permutations, Graph Theory Scheduling.

6. **Complex Tasks:**  
   - **Stable performance**, averaging **80.83/100**.  
   - Example: Statistical Mechanics, Algebraic Topology.

7. **Deceptive Tasks:**  
   - **Exceptional problem-solving**, with an average score of **87.5/100**.  
   - Example: Steel Rod Thermal Expansion, Farmer's Fence and Gate.

8. **Simple Tasks:**  
   - **Perfect performance**, with an average score of **95/100**.  
   - Example: Widget Production Calculation.

9. **Very Hard Tasks:**  
   - **Challenging area**, with an average score of **65/100**, suggesting opportunities for growth.  
   - Example: Table Tennis Scheduling Problem.