from random import Random from typing import Dict, Any def generate_from_variables(name1: str, name2: str, age_diff: int, age1: int) -> Dict[str, Any]: age2 = age1 + age_diff avg_age = (age1 + age2) // 2 question = f"{name1} and {name2} are currently {age_diff} years apart in age. If {name1}, who is younger than {name2}, is {age1} years old, what's the average of their ages?" answer_cot = f"If {name1} is {age1} years old, {name2} is {age1}+{age_diff} = {age2} years old.\n" \ f"The sum of their ages is {age2}+{age1} = {age1+age2} years\n" \ f"The average age of the two is {age1+age2}/2 = {avg_age} years\n" \ f"#### {avg_age}" return { 'question': question, 'answer': str(avg_age), 'answer_cot': answer_cot, 'answer_value': avg_age, 'variables': { 'name1': name1, 'name2': name2, 'age_diff': age_diff, 'age1': age1, 'age2': age2, 'avg_age': avg_age } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: names = ["Emma", "Olivia", "Ava", "Isabella", "Sophia", "Mia", "Charlotte", "Amelia"] name1, name2 = rng.sample(names, 2) age_diff = int(rng.randint(5, int(30 * difficulty))) age1 = int(rng.randint(15, int(75 * difficulty))) # Ensure average is an integer while (2 * age1 + age_diff) % 2 != 0: age1 = int(rng.randint(15, int(75 * difficulty))) result = generate_from_variables(name1, name2, age_diff, age1) 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("Mia", "Emma", 16, 40)