reasoning-gym/reasoning_gym/arithmetic/gsm_symbolic/generator_33.py

58 lines
2.3 KiB
Python

from random import Random
from typing import Dict, Any
def generate_from_variables(name1: str, name2: str, mult: int, n: int) -> Dict[str, Any]:
n_mult = n * mult
daily_total = n + n_mult
weekly_total = daily_total * 7
question = f"{name1} operates the cash register exactly {mult} times as fast as her less-experienced colleague {name2}. Daily, {name2} processes {n} customers. What is the total weekly production for the two if they work all days of the week?"
answer_cot = f"While {name2} is processing {n} orders in a day, {name1} processes {n} orders/day * {mult} = {n_mult} orders/day.\n" \
f"In a day, they process {n_mult} orders/day + {n} orders/day = {daily_total} orders together.\n" \
f"The total number of orders the two processes in a week is {daily_total} orders/day * 7 days/week = {weekly_total} orders\n" \
f"#### {weekly_total}"
return {
'question': question,
'answer': str(weekly_total),
'answer_cot': answer_cot,
'answer_value': weekly_total,
'variables': {
'name1': name1,
'name2': name2,
'multiplier': mult,
'base_rate': n,
'fast_rate': n_mult,
'daily_total': daily_total,
'weekly_total': weekly_total
}
}
def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
names_female = ["Julie", "Sarah", "Emma", "Sophia", "Olivia", "Isabella", "Mia", "Charlotte"]
multi_times = [2, 3, 4]
name1, name2 = rng.sample(names_female, 2)
mult = rng.choice(multi_times)
n = int(rng.randint(30, int(100 * difficulty)))
# Ensure conditions are met
while not (n * mult).is_integer() or not ((n + n * mult) * 7).is_integer():
n = int(rng.randint(30, int(100 * difficulty)))
result = generate_from_variables(name1, name2, mult, n)
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("Julie", "Jewel", 2, 50)