reasoning-gym/reasoning_gym/arithmetic/gsm_symbolic/generator_18.py

60 lines
2.3 KiB
Python

from random import Random
from typing import Dict, Any
def generate_from_variables(name1: str, name2: str, game: str, n1: int, n2: int, frac: float) -> Dict[str, Any]:
score2 = int(frac * n1 + n2)
total = n1 + score2
question = f"{name1} scored {n1} points in one game of {game}. {name2} scored {n2} more than {frac:.0%} as many as {name1}. How many points did {name1} and {name2} have in total?"
answer_cot = f"{name1} = {n1} points\n{name2} = {frac} * {n1} + {n2} = {score2} points\n{n1} + {score2} = {total} points\nTogether, {name1} and {name2} scored {total} points.\n#### {total}"
return {
'question': question,
'answer': str(total),
'answer_cot': answer_cot,
'answer_value': total,
'variables': {
'name1': name1,
'name2': name2,
'game': game,
'score1': n1,
'bonus': n2,
'fraction': frac,
'score2': score2,
'total_score': total
}
}
def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
names = ["James", "John", "Robert", "Michael", "William", "David", "Richard", "Joseph", "Thomas", "Charles",
"Mary", "Patricia", "Jennifer", "Linda", "Elizabeth", "Barbara", "Susan", "Jessica", "Sarah", "Karen"]
games = ["bowling", "darts", "archery", "basketball", "tennis"]
fractions = [0.5] # Could add more fractions if needed
name1, name2 = rng.sample(names, 2)
game = rng.choice(games)
frac = rng.choice(fractions)
n1 = int(rng.randint(200, int(500 * difficulty)))
n2 = int(rng.randint(5, int(50 * difficulty)))
# Ensure fraction calculation results in integer
while not float(frac * n1).is_integer():
n1 = int(rng.randint(200, int(500 * difficulty)))
result = generate_from_variables(name1, name2, game, n1, n2, frac)
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("Pierson", "Nikita", "bowling", 278, 11, 0.5)