from random import Random from typing import Dict, Any def generate_from_variables(school: str, venue: str, total: int, graduates: int, faculty: int) -> Dict[str, Any]: remaining_seats = total - (graduates + faculty) tickets_per_graduate = remaining_seats // graduates question = f"{school} is holding graduation in their {venue} this year which has space for {total} people. After accounting for {graduates} seats for graduates and {faculty} seats for faculty attending, how many tickets would each graduate receive to give to their friends and family if the tickets are split equally?" answer_cot = f"Add graduate and faculty seats together. {graduates} + {faculty} = {graduates+faculty} seats for faculty and graduates\nMinus seats for faculty and graduates from total seats allowed. {total} - {graduates+faculty} = {remaining_seats} remaining seats.\nDivide remaining seats by the number of graduates. {remaining_seats}/{graduates} = {tickets_per_graduate} tickets\n#### {tickets_per_graduate}" return { 'question': question, 'answer': str(tickets_per_graduate), 'answer_cot': answer_cot, 'answer_value': tickets_per_graduate, 'variables': { 'school': school, 'venue': venue, 'total_seats': total, 'graduate_seats': graduates, 'faculty_seats': faculty, 'remaining_seats': remaining_seats, 'tickets_per_graduate': tickets_per_graduate } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: schools = ["Oakwood High School", "Riverside Academy", "Sunnyside High", "Greenville High School"] venues = ["Auditorium", "Gymnasium", "Sports Arena", "Convention Center"] school = rng.choice(schools) venue = rng.choice(venues) graduates = int(rng.randint(500, int(1500 * difficulty)) // 50 * 50) faculty = int(rng.randint(100, int(500 * difficulty)) // 50 * 50) # Ensure total seats allow for integer division of remaining seats remaining_seats = rng.randint(2, int(10 * difficulty)) * graduates total = remaining_seats + graduates + faculty result = generate_from_variables(school, venue, total, graduates, faculty) 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("Apple High School", "Fine Arts Center", 6000, 950, 300)