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Create python generator files for gsm symbolic templates
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reasoning_gym/arithmetic/gsm_symbolic/generator_25.py
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reasoning_gym/arithmetic/gsm_symbolic/generator_25.py
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from random import Random
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from typing import Dict, Any
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from fractions import Fraction
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def generate_from_variables(food: str, calories: int, size: int, servings: int,
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total_target: int, consumed: int, unit: str) -> Dict[str, Any]:
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calories_left = total_target - consumed
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serving_fraction = Fraction(calories_left, calories)
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grams_per_serving = size // servings
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grams_allowed = grams_per_serving * serving_fraction
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question = f"According to its nutritional info, a bag of {food} has {calories} calories per serving. If a {size} {unit} bag has {servings} servings, how many {unit} can you eat if your daily calorie target is {total_target} and you have already consumed {consumed} calories?"
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answer_cot = f"If the total calorie target is {total_target} and I have consumed {consumed} calories then I have {total_target}-{consumed} = {calories_left} calories left to eat\n" \
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f"If each serving of {food} has {calories} calories and I only have {calories_left} calories left to eat, then I can only eat {calories_left}/{calories} of a serving = {serving_fraction} of a serving\n" \
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f"We also know that a {size} {unit} bag of {food} has {servings} servings, hence each serving has {size} {unit}/{servings} = {grams_per_serving} {unit}\n" \
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f"If I can only eat {serving_fraction} of a serving, then I can eat only {grams_per_serving} * {serving_fraction} = {grams_allowed} {unit}\n" \
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f"#### {float(grams_allowed)}"
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return {
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'question': question,
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'answer': str(float(grams_allowed)),
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'answer_cot': answer_cot,
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'answer_value': float(grams_allowed),
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'variables': {
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'food': food,
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'calories': calories,
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'size': size,
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'servings': servings,
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'total_target': total_target,
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'consumed': consumed,
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'unit': unit,
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'calories_left': calories_left,
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'grams_per_serving': grams_per_serving,
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'serving_fraction': serving_fraction
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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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foods = ["popcorn", "breads", "cookies"]
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units = ["grams", "ounces", "oz"]
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food = rng.choice(foods)
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unit = rng.choice(units)
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calories = int(rng.randint(150, int(500 * difficulty)) // 25 * 25)
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size = int(rng.randint(100, int(400 * difficulty)) // 25 * 25)
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servings = int(rng.randint(4, int(8 * difficulty)))
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total_target = int(rng.randint(1900, int(2500 * difficulty)) // 5 * 5)
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consumed = int(rng.randint(600, int(1800 * difficulty)) // 25 * 25)
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# Ensure conditions are met
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while (consumed >= total_target or
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not (size % servings == 0) or
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not ((size//servings) * Fraction(total_target-consumed, calories)).denominator == 1):
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calories = int(rng.randint(150, int(500 * difficulty)) // 25 * 25)
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size = int(rng.randint(100, int(400 * difficulty)) // 25 * 25)
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servings = int(rng.randint(4, int(8 * difficulty)))
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total_target = int(rng.randint(1900, int(2500 * difficulty)) // 5 * 5)
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consumed = int(rng.randint(600, int(1800 * difficulty)) // 25 * 25)
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result = generate_from_variables(food, calories, size, servings, total_target, consumed, unit)
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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("chips", 250, 300, 5, 2000, 1800, "grams")
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