from random import Random from typing import Dict, Any def generate_from_variables(name: str, num_shares: int, price_per_share: int, increase_pct: int, decrease_pct: int) -> Dict[str, Any]: initial_value = num_shares * price_per_share first_increase = initial_value * increase_pct/100 value_after_increase = initial_value + first_increase second_decrease = value_after_increase * decrease_pct/100 final_value = value_after_increase - second_decrease question = f"{name} buys {num_shares} shares of a stock for ${price_per_share} each. The stock price increases {increase_pct}% the first year {name} holds it, then decreases {decrease_pct}% in the second year. What is the final value of all {name}'s shares?" answer_cot = f"First find the initial total value of {name}'s purchase: {num_shares} shares * ${price_per_share}/share = ${initial_value}\n" \ f"Then find the amount of the first price increase: ${initial_value} * {increase_pct/100} = ${int(first_increase)}\n" \ f"Add that amount to the initial value to find the value after the first year: ${initial_value} + ${int(first_increase)} = ${int(value_after_increase)}\n" \ f"Then multiply that amount by {decrease_pct}% to find the amount of the decrease in the second year: ${int(value_after_increase)} * {decrease_pct}% = ${int(second_decrease)}\n" \ f"Then subtract that amount from the value after the first year to find the final value: ${int(value_after_increase)} - ${int(second_decrease)} = ${int(final_value)}\n" \ f"#### {int(final_value)}" return { 'question': question, 'answer': str(int(final_value)), 'answer_cot': answer_cot, 'answer_value': int(final_value), 'variables': { 'name': name, 'num_shares': num_shares, 'price_per_share': price_per_share, 'increase_pct': increase_pct, 'decrease_pct': decrease_pct, 'initial_value': initial_value, 'final_value': int(final_value) } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: names = ['Maria', 'Sarah', 'Emma', 'Isabella', 'Sophia', 'Mia', 'Charlotte'] name = rng.choice(names) num_shares = int(rng.randint(5, int(20 * difficulty))) price_per_share = int(rng.randint(5, int(100 * difficulty))) increase_pct = int(rng.randint(10, int(100 * difficulty)) // 5 * 5) decrease_pct = int(rng.randint(5, int(50 * difficulty)) // 5 * 5) # Ensure integer results while not (num_shares * price_per_share * increase_pct/100).is_integer() or \ not (num_shares * price_per_share * (1 + increase_pct/100) * (1 - decrease_pct/100)).is_integer(): num_shares = int(rng.randint(5, int(20 * difficulty))) price_per_share = int(rng.randint(5, int(100 * difficulty))) increase_pct = int(rng.randint(10, int(100 * difficulty)) // 5 * 5) decrease_pct = int(rng.randint(5, int(50 * difficulty)) // 5 * 5) result = generate_from_variables(name, num_shares, price_per_share, increase_pct, decrease_pct) 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("Maria", 8, 8, 50, 25)