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Create python generator files for gsm symbolic templates
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reasoning_gym/arithmetic/gsm_symbolic/generator_26.py
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reasoning_gym/arithmetic/gsm_symbolic/generator_26.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(n: int, ball_type: str, color: str, frac_1: float, frac_2: float) -> Dict[str, Any]:
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first_calc = int(n * frac_1)
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final_calc = int(first_calc * frac_2)
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question = f"A juggler can juggle {n} balls. {frac_1:.0%} of the balls are {ball_type} balls, and {frac_2:.0%} of the {ball_type} balls are {color}. How many {color} {ball_type} balls are there?"
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answer_cot = f"{ball_type} balls:{n} * {frac_1}={first_calc}\n{color} {ball_type} balls:{first_calc}*{frac_2}={final_calc} balls\n#### {final_calc}"
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return {
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'question': question,
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'answer': str(final_calc),
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'answer_cot': answer_cot,
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'answer_value': final_calc,
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'variables': {
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'total_balls': n,
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'ball_type': ball_type,
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'color': color,
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'fraction_first': frac_1,
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'fraction_second': frac_2,
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'first_calculation': first_calc,
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'final_calculation': final_calc
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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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ball_types = ["golf", "tennis"]
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colors = ["blue", "red", "green", "yellow", "white"]
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fractions = [0.5, 0.25, 0.75]
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ball_type = rng.choice(ball_types)
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color = rng.choice(colors)
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frac_1 = rng.choice(fractions)
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frac_2 = rng.choice(fractions)
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# Generate n that ensures integer results
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n = int(rng.randint(10, int(100 * difficulty)))
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while not (n * frac_1).is_integer() or not (n * frac_1 * frac_2).is_integer():
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n = int(rng.randint(10, int(100 * difficulty)))
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result = generate_from_variables(n, ball_type, color, frac_1, frac_2)
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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(16, "golf", "blue", 0.5, 0.5)
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