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Create python generator files for gsm symbolic templates
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reasoning_gym/arithmetic/gsm_symbolic/generator_49.py
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reasoning_gym/arithmetic/gsm_symbolic/generator_49.py
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from random import Random
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from typing import Dict, Any
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def generate_from_variables(name: str, item1: str, item2: str, price1: int, price2: int,
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total: float, n1: int, percent: int, currency: str) -> Dict[str, Any]:
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change = total * percent / 100
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spent = total * (100 - percent) / 100
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cost_item1 = n1 * price1 / 100
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spent_item2 = spent - cost_item1
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n2 = int(spent_item2 / (price2 / 100))
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question = f"The vending machines sell {item1} for {price1} cents and {item2} for {price2} cents. {name} spent {currency}{total} and got {n1} bags of {item1} and had {percent}% of his money left. How many {item2} did he buy?"
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answer_cot = f"{name} got {currency}{change} in change because {total} x {percent}/100 = {change}\n" \
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f"{name} spent {currency}{spent} because {total} - {change} = {spent}\n" \
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f"{name} spent {currency}{cost_item1} on {item1} because {n1} x {price1/100} = {cost_item1}\n" \
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f"{name} spent {spent_item2} on {item2} because {spent} - {cost_item1} = {spent_item2}\n" \
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f"{name} bought {n2} {item2} because {spent_item2} / {price2/100} = {n2}\n" \
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f"#### {n2}"
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return {
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'question': question,
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'answer': str(n2),
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'answer_cot': answer_cot,
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'answer_value': n2,
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'variables': {
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'name': name,
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'item1': item1,
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'item2': item2,
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'price1': price1,
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'price2': price2,
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'total_spent': total,
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'num_item1': n1,
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'num_item2': n2,
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'percent_change': percent,
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'currency': currency
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}
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}
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def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
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names = ["George", "James", "John", "Robert", "Michael", "William"]
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items = ['pretzels', 'popcorn', 'gum', 'cookies', 'crackers']
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currencies = ['$', '£', '€']
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name = rng.choice(names)
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item1, item2 = rng.sample(items, 2)
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currency = rng.choice(currencies)
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price1 = int(rng.randrange(25, int(100 * difficulty), 5))
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price2 = int(rng.randrange(50, int(150 * difficulty), 5))
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while price2 <= price1:
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price2 = int(rng.randrange(50, int(150 * difficulty), 5))
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total = int(rng.randrange(500, int(1500 * difficulty), 100))
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n1 = int(rng.randint(1, int(10 * difficulty)))
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percent = int(rng.randint(1, int(10 * difficulty)))
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# Validate conditions
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while not (isinstance(total * percent / 100, int) and
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isinstance((total * (100 - percent) / 100 - n1 * price1 / 100) / (price2 / 100), int) and
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(total * (100 - percent) / 100 - n1 * price1 / 100) % (price2 / 100) == 0):
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total = int(rng.randrange(500, int(1500 * difficulty), 100))
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n1 = int(rng.randint(1, int(10 * difficulty)))
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percent = int(rng.randint(1, int(10 * difficulty)))
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result = generate_from_variables(name, item1, item2, price1, price2, total, n1, percent, currency)
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return {
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'question': result['question'],
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'answer': result['answer'],
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'metadata': {
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'difficulty': difficulty,
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'answer_value': result['answer_value'],
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'answer_cot': result['answer_cot'],
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'variables': result['variables']
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}
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}
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def original_example() -> Dict[str, Any]:
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return generate_from_variables("George", "chips", "candy bars", 40, 75, 5, 3, 1, "$")
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