"""Complexity challenge utilities - performance test generation""" import time import random from typing import List, Dict, Any, Callable, Optional from rockman.benchmark.schema import Problem, TaskType, ExecutionResult from rockman.benchmark.runners import get_runner COMPLEXITY_CLASSES = { "O(1)": {"max_n": 1000000, "time_factor": 0.001}, "O(log n)": {"max_n": 1000000, "time_factor": 0.01}, "O(n)": {"max_n": 100000, "time_factor": 0.1}, "O(n log n)": {"max_n": 50000, "time_factor": 1.0}, "O(n^2)": {"max_n": 2000, "time_factor": 10.0}, "O(n^3)": {"max_n": 200, "time_factor": 100.0}, "O(2^n)": {"max_n": 20, "time_factor": 1000.0}, } def generate_performance_test( problem: Problem, reference_solution: str, complexity_class: str, num_tests: int = 3 ) -> List[Dict[str, Any]]: """Generate performance test cases that verify complexity.""" if complexity_class not in COMPLEXITY_CLASSES: complexity_class = "O(n log n)" config = COMPLEXITY_CLASSES[complexity_class] max_n = config["max_n"] tests = [] runner = get_runner(problem.language, problem.time_limit, problem.memory_limit) for i in range(num_tests): # Generate input size that should complete within time limit for correct complexity n = min(max_n, random.randint(max_n // 10, max_n)) input_data = generate_input_for_problem(problem, n) if not input_data: continue # Run reference solution to get expected output and baseline time test_code = f"{reference_solution}\nresult = solve({input_data})\nprint(result)" result = runner.execute(test_code) if result.success: tests.append({ "input": input_data, "expected_output": result.stdout.strip(), "max_time_ms": result.execution_time_ms * 5, # 5x reference time "input_size": n, "description": f"Performance test n={n} for {complexity_class}", }) return tests def generate_input_for_problem(problem: Problem, n: int) -> Optional[str]: """Generate input data of size n for a problem.""" # This is problem-specific - would need customization per problem # Return a generic template category = problem.category.lower() if "array" in problem.prompt.lower() or "list" in problem.prompt.lower(): arr = [random.randint(-1000, 1000) for _ in range(n)] return f"[{', '.join(map(str, arr))}]" elif "graph" in problem.prompt.lower() or "edge" in problem.prompt.lower(): edges = [] for _ in range(min(n, n * 2)): u = random.randint(0, n - 1) v = random.randint(0, n - 1) w = random.randint(1, 100) edges.append(f"({u}, {v}, {w})") return f"{n}, [{', '.join(edges)}]" elif "string" in problem.prompt.lower(): return f"'{''.join(random.choices('abcdefghijklmnopqrstuvwxyz', k=n))}'" elif "tree" in problem.prompt.lower(): return f"generate_tree({n})" return None def create_complexity_challenge( base_problem: Problem, reference_solution: str, target_complexity: str, naive_solution: str = None ) -> Problem: """Create an optimization/complexity challenge from a base problem.""" perf_tests = generate_performance_test(base_problem, reference_solution, target_complexity) # Build test code with performance assertions test_lines = [base_problem.public_test] for pt in perf_tests: test_lines.append(f""" # Performance test: {pt['description']} import time start = time.time() result = solve({pt['input']}) elapsed = (time.time() - start) * 1000 assert elapsed < {pt['max_time_ms']}, f"Too slow: {{elapsed}}ms > {{pt['max_time_ms']}}ms for n={pt['input_size']}" assert result == {pt['expected_output']} """) enhanced_test = "\n".join(test_lines) challenge = Problem( task_id=f"{base_problem.task_id}_complexity_{target_complexity.replace('(', '').replace(')', '').replace('^', '')}", category="Complexity", subcategory=target_complexity, difficulty=max(base_problem.difficulty, 3), prompt=f"""# Optimization Challenge: {target_complexity} {base_problem.prompt} ## Additional Requirement: Your solution MUST run in {target_complexity} time complexity. Solutions with worse complexity will fail the hidden performance tests. """, public_test=enhanced_test, hidden_test_encrypted="", hidden_test_nonce="", hidden_test_tag="", time_limit=base_problem.time_limit * 2, memory_limit=base_problem.memory_limit, language=base_problem.language, tags=base_problem.tags + ["complexity", "optimization", target_complexity.replace("(", "").replace(")", "").replace("^", "")], source_type=base_problem.source_type, expected_complexity=target_complexity, deterministic=base_problem.deterministic, task_type=TaskType.OPTIMIZATION.value, version=base_problem.version, metadata={ **base_problem.metadata, "base_task_id": base_problem.task_id, "target_complexity": target_complexity, "reference_solution": reference_solution, "naive_solution": naive_solution, "performance_tests": perf_tests, } ) return challenge def verify_complexity( solution: str, problem: Problem, test_inputs: List[str], max_times: List[float], language: str = "python" ) -> Dict[str, Any]: """Verify solution meets complexity requirements.""" runner = get_runner(language, problem.time_limit, problem.memory_limit) results = [] for input_data, max_time in zip(test_inputs, max_times): test_code = f"{solution}\nimport time\nstart = time.time()\nresult = solve({input_data})\nelapsed = (time.time() - start) * 1000\nprint(f'TIME:{{elapsed}}')\nprint(result)" result = runner.execute(test_code) passed = result.success and result.execution_time_ms <= max_time results.append({ "input_size": len(input_data), "time_ms": result.execution_time_ms, "max_time_ms": max_time, "passed": passed, "output": result.stdout, }) all_passed = all(r["passed"] for r in results) return { "passed": all_passed, "details": results, "summary": f"{sum(1 for r in results if r['passed'])}/{len(results)} performance tests passed", } def estimate_complexity_class(times: List[float], sizes: List[int]) -> str: """Estimate complexity class from timing data.""" if len(times) < 3: return "Unknown" # Fit to common complexity classes import math ratios = [] for i in range(1, len(times)): if times[i-1] > 0: size_ratio = sizes[i] / sizes[i-1] time_ratio = times[i] / times[i-1] ratios.append((size_ratio, time_ratio)) if not ratios: return "Unknown" # Check which complexity fits best avg_ratio = sum(t/s for s, t in ratios) / len(ratios) if avg_ratio < 1.5: return "O(1) or O(log n)" elif avg_ratio < 2.5: return "O(n)" elif avg_ratio < 4: return "O(n log n)" elif avg_ratio < 8: return "O(n^2)" else: return "O(n^3) or worse" COMPLEXITY_PROMPT_TEMPLATE = """# Optimization Challenge: {complexity_class} {base_prompt} ## Critical Requirement: Your solution MUST achieve **{complexity_class}** time complexity. Implementations with worse asymptotic complexity will fail hidden performance tests. ## Performance Constraints: - Time limit: {time_limit}s - Memory limit: {memory_limit}MB - Test inputs up to size N where naive O(N^2) would timeout ## Example: {example} ## Your Task: Implement the function with optimal complexity. Return only the implementation. """