from random import Random from typing import Dict, Any def generate_from_variables(name: str, fish: str, day: str, w1: int, w2: int, w3: int, n: int, unit: str, cur: str, price: float) -> Dict[str, Any]: total = int((w1 + w2) * price + (n-2)*w3*price) question = f"{name} caught {n} {fish}s last {day}, the first {fish} he caught weighs {w1} {unit}s, the second {fish} he caught weighs {w2} {unit}s, and the last {fish} he caught weighs {w3} {unit}s. If a {unit} of {fish} costs {cur}{price:.2f}, how much will he earn after selling all the {fish}s to the market?" answer_cot = f"{name} will earn {w1} x {cur}{price:.2f} = {cur}{w1*price:.2f} from the first {fish}.\n" \ f"He will earn {w2} x {cur}{price:.2f} = {cur}{w2*price:.2f} for the second {fish}.\n" \ f"The rest of the {fish}s are {n}-2 = {n-2}. He will earn {w3} x {cur}{price:.2f} = {cur}{w3*price:.2f} per each of them. So he will earn {n-2} * {w3*price:.2f} = {(n-2)*w3*price:.2f}\n" \ f"Therefore, the total amount he will earn for all the {fish}s is {cur}{w1*price:.2f} + {cur}{w2*price:.2f} + {cur}{(n-2)*w3*price:.2f}= {cur}{total}.\n#### {total}" return { 'question': question, 'answer': str(total), 'answer_cot': answer_cot, 'answer_value': total, 'variables': { 'name': name, 'fish': fish, 'day': day, 'weight1': w1, 'weight2': w2, 'weight3': w3, 'num_fish': n, 'unit': unit, 'currency': cur, 'price': price } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: names = ["John", "Michael", "David", "James", "Robert", "William", "Richard"] fish = ["salmon", "cod", "trout", "steelhead"] days = ["Monday", "Tuesday", "Wednesday", "Thursday", "Friday"] units = ["kilogram", "pound", "kg"] currencies = ["$", "€", "£"] name = rng.choice(names) fish_type = rng.choice(fish) day = rng.choice(days) unit = rng.choice(units) cur = rng.choice(currencies) w1 = int(rng.randint(40, int(80 * difficulty))) w2 = int(rng.randint(30, int(60 * difficulty))) w3 = int(rng.randint(20, int(40 * difficulty))) n = int(rng.randint(3, int(8 * difficulty))) price = round(rng.uniform(0.25, 2.5), 2) # Ensure result is integer while not ((w1 + w2) * price + (n-2) * w3 * price).is_integer(): price = round(rng.uniform(0.25, 2.5), 2) result = generate_from_variables(name, fish_type, day, w1, w2, w3, n, unit, cur, price) return { 'question': result['question'], 'answer': result['answer'], 'metadata': { 'difficulty': difficulty, 'answer_value': result['answer_value'], 'answer_cot': result['answer_cot'], 'variables': result['variables'] } } def original_example() -> Dict[str, Any]: return generate_from_variables("Deandre", "tuna", "Monday", 56, 46, 26, 3, "kilogram", "$", 0.50)