reasoning-gym/reasoning_gym/arithmetic/gsm_symbolic/generator_40.py

64 lines
2.2 KiB
Python

from random import Random
from typing import Dict, Any
def generate_from_variables(item: str, n1: int, c1: str, c2: str, c3: str, p: int) -> Dict[str, Any]:
more_cards = int(p/100 * n1)
n2 = n1 + more_cards
n3 = n1 + n2
total = n3 + n3
question = f"In a set of {item}'s cards, there are {n1} {c1} cards, and {p}% more {c2} cards. {c3} cards are as many as the sum of {c1} and {c2} cards. How many cards of all mentioned colors are there?"
answer_cot = f"There are {p}/100 * {n1} = {more_cards} more {c2} cards than {c1} cards.\n" \
f"Which means there are {n1} + {more_cards} = {n2} {c2} cards.\n" \
f"{c3} cards make up to {n1} + {n2} = {n3} cards.\n" \
f"So in total, there are {n3} + {n3} = {total} cards of different colors.\n" \
f"#### {total}"
return {
'question': question,
'answer': str(total),
'answer_cot': answer_cot,
'answer_value': total,
'variables': {
'item': item,
'n1': n1,
'c1': c1,
'c2': c2,
'c3': c3,
'p': p,
'more_cards': more_cards,
'total': total
}
}
def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
items = ["magician", "artist", "chef", "scientist", "athlete"]
colors = ["red", "blue", "green", "yellow", "purple", "orange"]
item = rng.choice(items)
c1, c2, c3 = rng.sample(colors, 3)
n1 = int(rng.randint(20, int(81 * difficulty)))
# Generate p ensuring division results in integer
while True:
p = int(rng.randint(20, min(90, int(100 * difficulty))))
if (p/100 * n1).is_integer():
break
result = generate_from_variables(item, n1, c1, c2, c3, p)
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("magician", 15, "red", "green", "yellow", 60)