from random import Random from typing import Dict, Any def generate_from_variables(name1: str, name2: str, n1: int, n2: int, k1: int, k2: int) -> Dict[str, Any]: total_puppies = n1 + n2 spotted_puppies = k1 + k2 percentage = int(100 * spotted_puppies / total_puppies) question = f"{name1}'s dog has {n1} puppies, {k1} of which have spots. {name2}'s dog has {n2} puppies, {k2} of which have spots. What percentage of all the puppies have spots?" answer_cot = f"First find the total number of puppies: {n1} puppies + {n2} puppies = {total_puppies} puppies\n" \ f"Then find the total number of puppies with spots: {k1} puppies + {k2} puppies = {spotted_puppies} puppies\n" \ f"Then divide the number of spotted puppies by the total number of puppies and multiply by 100% to find the percentage of puppies with spots: {spotted_puppies} puppies / {total_puppies} puppies * 100% = {percentage}%\n" \ f"#### {percentage}" return { 'question': question, 'answer': str(percentage), 'answer_cot': answer_cot, 'answer_value': percentage, 'variables': { 'name1': name1, 'name2': name2, 'puppies1': n1, 'puppies2': n2, 'spotted1': k1, 'spotted2': k2, 'total_puppies': total_puppies, 'total_spotted': spotted_puppies } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: names = ["Jennifer", "Michael", "Christopher", "Jessica", "Matthew", "Ashley", "Joshua", "Amanda", "Daniel", "David", "James", "Robert", "John", "Joseph"] name1, name2 = rng.sample(names, 2) # Scale ranges by difficulty but ensure values remain integers n1 = int(rng.randrange(950, int(1050 * difficulty), 5)) n2 = int(rng.randrange(400, int(650 * difficulty), 5)) k1 = int(rng.randrange(170, int(290 * difficulty), 10)) k2 = int(rng.randrange(120, int(170 * difficulty), 10)) # Ensure conditions are met while (k1 + k2) >= (n1 + n2) or (n1 + n2) % (k1 + k2) != 0: n1 = int(rng.randrange(950, int(1050 * difficulty), 5)) n2 = int(rng.randrange(400, int(650 * difficulty), 5)) k1 = int(rng.randrange(170, int(290 * difficulty), 10)) k2 = int(rng.randrange(120, int(170 * difficulty), 10)) result = generate_from_variables(name1, name2, n1, n2, k1, k2) return { 'question': result['question'], 'answer': result['answer'], 'metadata': { 'difficulty': difficulty, 'answer_value': result['answer_value'], 'answer_cot': result['answer_cot'], 'variables': result['variables'] } } def original_example() -> Dict[str, Any]: return generate_from_variables("Jennifer", "Brandon", 8, 12, 3, 4)