from random import Random from typing import Dict, Any import numpy as np def generate_from_variables(name: str, location: str, shop: str, item1: str, item2: str, item3: str, unit: str, cur: str, total: float, n1: int, n2: int, n12: int, k: int, n3: int, p1: float, p2: float, p3: float, discount: float) -> Dict[str, Any]: # Calculate costs item1_cost = n1*p1 + n2*(1-discount)*p1 + k*p1 # Cost of item1 with discount applied item2_cost = p2 # Cost of item2 item3_cost = n3*p3 # Cost of item3 total_spent = int(item1_cost + item2_cost + item3_cost) money_left = total - total_spent question = f"{name} went to the {location} for vacation. Her parents gave her {cur}{total} to buy whatever she wanted. At the {shop}, {item1} was on sale for \"Buy {n1} {unit}s at {cur}{p1} per {unit}, get {n2} {unit}s {discount} off.\" She scooped up {n12} {unit}s. She also bought a mixed bag of {item2} for {cur}{p2} and {n3} {item3} that were {cur}{p3} each. How much money does {name} have left?" answer_cot = f"{item1} is {n1} {unit}s for {cur}{p1} and gets {n2} {unit}s {discount} off. So {discount} off of {n2} {unit}s is {cur}{n2*discount}*{p1} = {cur}{n2*discount*p1}. The rest of {k} {unit}s does not have discount and come at {k*p1} so total is {n1}*{p1} + {n2}*{1-discount}*{p1} + {k}*{p1} = {item1_cost}\n{n3} {item3} at {cur}{p3} each is {n3}*{p3}={cur}{n3*p3}\nWhen you add all her purchases, {cur}{item1_cost}+{cur}{p2}+{cur}{n3*p3} = {cur}{total_spent}\nShe had {cur}{total} and spent {cur}{total_spent} so she had {cur}{total}-{cur}{total_spent} = {cur}{money_left} left over\n#### {money_left}" return { 'question': question, 'answer': str(money_left), 'answer_cot': answer_cot, 'answer_value': money_left, 'variables': { 'name': name, 'location': location, 'shop': shop, 'item1': item1, 'item2': item2, 'item3': item3, 'unit': unit, 'currency': cur, 'total_money': total, 'n1': n1, 'n2': n2, 'n12': n12, 'k': k, 'n3': n3, 'p1': p1, 'p2': p2, 'p3': p3, 'discount': discount, 'total_spent': total_spent } } def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]: names_female = ['Emma', 'Olivia', 'Ava', 'Isabella', 'Sophia', 'Mia', 'Charlotte'] locations = ['beach', 'boardwalk', 'pier', 'coast'] shops = ['souvenir store', 'gift shop', 'beach shop', 'seaside store'] items1 = ['fudge', 'saltwater taffy', 'rock candy', 'cotton candy'] items2 = ['sand dollars', 'starfish', 'sea glass', 'coral pieces'] items3 = ['postcards', 'keychains', 'stickers', 'pins'] units = ['pound', 'kilogram', 'kg'] currencies = ['$', '£', '€'] fraction_nums = [0.25, 0.33, 0.5, 0.67, 0.75] name = rng.choice(names_female) location = rng.choice(locations) shop = rng.choice(shops) item1 = rng.choice(items1) item2 = rng.choice(items2) item3 = rng.choice(items3) unit = rng.choice(units) cur = rng.choice(currencies) total = int(rng.randint(1200, int(1500 * difficulty))) n1 = int(rng.randint(15, int(18 * difficulty))) n2 = int(rng.randint(4, int(10 * difficulty))) k = int(rng.randint(2, int(5 * difficulty))) n12 = n1 + n2 + k n3 = int(rng.randint(11, int(19 * difficulty))) p1 = int(rng.randint(20, int(24 * difficulty))) p2 = round(rng.uniform(11.25, 12.00), 2) p3 = round(rng.uniform(20.25, 21.25), 2) discount = rng.choice(fraction_nums[:4]) # Ensure conditions are met while not (n2 < n1 and n12 == n1 + n2 + k and 0 <= k < n1 and int(n1*p1 + n2*(1-discount)*p1 + k*p1 + p2 + n3*p3) == n1*p1 + n2*(1-discount)*p1 + k*p1 + p2 + n3*p3 and n1*p1 + n2*(1-discount)*p1 + k*p1 + p2 + n3*p3 < total): n1 = int(rng.randint(15, int(18 * difficulty))) n2 = int(rng.randint(4, int(10 * difficulty))) k = int(rng.randint(2, int(5 * difficulty))) n12 = n1 + n2 + k p1 = int(rng.randint(20, int(24 * difficulty))) result = generate_from_variables(name, location, shop, item1, item2, item3, unit, cur, total, n1, n2, n12, k, n3, p1, p2, p3, discount) return { 'question': result['question'], 'answer': result['answer'], 'metadata': { 'difficulty': difficulty, 'answer_value': result['answer_value'], 'answer_cot': result['answer_cot'], 'variables': result['variables'] } } def original_example() -> Dict[str, Any]: return generate_from_variables('Sally', 'seashore', 'trinket shop', 'taffy', 'seashells', 'magnets', 'pound', '$', 10, 1, 1, 2, 0, 4, 3, 1.50, 0.25, 0.5)