from random import Random from typing import Dict, Any def generate_from_variables(name: str, obj: str, surface: str, capacity: int, total: int, num_trays: int) -> Dict[str, Any]: max_capacity = capacity * num_trays leftover = total - max_capacity question = f"{name} places {obj}s on the {surface}. Each {surface} can hold {capacity} {obj}s. If he has {total} {obj}s and {num_trays} {surface}s, how many {obj}s won't he be able to place on the {surface}?" answer_cot = f"{name} will be able to place a total of {capacity} x {num_trays} = {max_capacity} {obj}s.\nTherefore, there are {total} - {max_capacity} = {leftover} {obj}s that he won't be able to place on the {surface}.\n#### {leftover}" return { 'question': question, 'answer': str(leftover), 'answer_cot': answer_cot, 'answer_value': leftover, 'variables': { 'name': name, 'obj': obj, 'surface': surface, 'capacity_per_tray': capacity, 'total_items': total, 'num_trays': num_trays, 'max_capacity': max_capacity, 'leftover': leftover } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: names = ['James', 'John', 'Robert', 'Michael', 'William', 'David', 'Richard'] objects = ['olive', 'almond', 'cookie', 'cracker', 'banana'] surfaces = ['plate', 'table', 'bowl', 'tray', 'basket'] name = rng.choice(names) obj = rng.choice(objects) surface = rng.choice(surfaces) capacity = int(rng.randint(20, int(51 * difficulty))) num_trays = int(rng.randint(2, int(7 * difficulty))) # Ensure total is greater than max capacity max_capacity = capacity * num_trays total = max_capacity + int(rng.randint(1, int(20 * difficulty))) result = generate_from_variables(name, obj, surface, capacity, total, num_trays) 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('Jaime', 'egg', 'tray', 24, 64, 2)