reasoning-gym/reasoning_gym/arithmetic/gsm_symbolic/generator_62.py

65 lines
2.7 KiB
Python

from random import Random
from typing import Dict, Any
def generate_from_variables(item: str, num_slices: int, name1: str, name2: str,
slices_per_day: int, multiplier: int, unit: str) -> Dict[str, Any]:
second_person_slices = slices_per_day * multiplier
total_daily_slices = slices_per_day + second_person_slices
days_lasting = num_slices // total_daily_slices
question = f"A {item} has {num_slices} {unit}. If {name1} can eat {slices_per_day} {unit} a day while {name2} can eat {multiplier} times as much, how many days will the {item} last?"
answer_cot = f"{name2} can eat {slices_per_day} x {multiplier} = {second_person_slices} {unit} a day.\nTogether, {name1} and {name2} can eat {slices_per_day} + {second_person_slices} = {total_daily_slices} {unit} a day.\nSo, a {item} will last for {num_slices}/{total_daily_slices} = {days_lasting} days.\n#### {days_lasting}"
return {
'question': question,
'answer': str(days_lasting),
'answer_cot': answer_cot,
'answer_value': days_lasting,
'variables': {
'item': item,
'num_slices': num_slices,
'name1': name1,
'name2': name2,
'slices_per_day': slices_per_day,
'multiplier': multiplier,
'second_person_slices': second_person_slices,
'total_daily_slices': total_daily_slices,
'unit': unit
}
}
def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
items = ["pizza", "cake", "pie", "lasagna"]
units = ["pieces", "portions", "servings"]
names = ["Emma", "Liam", "Olivia", "Noah", "Ava", "Elijah", "Charlotte", "James"]
item = rng.choice(items)
unit = rng.choice(units)
name1, name2 = rng.sample(names, 2)
slices_per_day = int(rng.randint(2, int(6 * difficulty)))
multiplier = 2 # Using 'twice' as specified in original
# Ensure total is divisible by daily consumption
daily_total = slices_per_day + (slices_per_day * multiplier)
num_days = rng.randint(2, int(8 * difficulty))
num_slices = daily_total * num_days
result = generate_from_variables(item, num_slices, name1, name2, slices_per_day,
multiplier, unit)
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("loaf of bread", 24, "Abby", "Josh", 2, 2, "slices")