PERSONAL_BENCHMARK.md

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
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.