formatting

This commit is contained in:
Andreas Koepf 2025-01-24 10:34:07 +01:00
parent 98988c8481
commit 20069b2a7d
37 changed files with 504 additions and 666 deletions

View file

@ -1,21 +1,24 @@
"""Least Common Multiple (LCM) task generator"""
from dataclasses import dataclass
from functools import reduce
from math import lcm
from random import Random
from typing import List, Optional, Tuple
from ..dataset import ProceduralDataset
from math import lcm
from functools import reduce
@dataclass
class LCMConfig:
"""Configuration for LCM task generation"""
min_numbers: int = 2 # Minimum numbers to find LCM of
max_numbers: int = 2 # Maximum numbers to find LCM of
min_value: int = 1 # Minimum value for each number
max_value: int = 100 # Maximum value for each number (kept smaller than GCD default since LCM grows fast)
min_numbers: int = 2 # Minimum numbers to find LCM of
max_numbers: int = 2 # Maximum numbers to find LCM of
min_value: int = 1 # Minimum value for each number
max_value: int = 100 # Maximum value for each number (kept smaller than GCD default since LCM grows fast)
seed: Optional[int] = None
size: int = 500 # Virtual dataset size
size: int = 500 # Virtual dataset size
def validate(self):
"""Validate configuration parameters"""
@ -36,38 +39,34 @@ class LCMDataset(ProceduralDataset):
def _generate_numbers(self, rng: Random) -> Tuple[List[int], int]:
"""Generate a list of random positive integers and their LCM.
Will try up to 3 times to find numbers with LCM < product."""
def calculate_product(nums: List[int]) -> int:
return reduce(lambda x, y: x * y, nums)
for _ in range(3): # Try up to 3 times to get LCM < product
num_count = rng.randint(self.config.min_numbers, self.config.max_numbers)
numbers = [rng.randint(self.config.min_value, self.config.max_value)
for _ in range(num_count)]
numbers = [rng.randint(self.config.min_value, self.config.max_value) for _ in range(num_count)]
result = reduce(lcm, numbers)
if result < calculate_product(numbers):
return numbers, result
# If we failed to find LCM < product after 3 tries, generate one final set
num_count = rng.randint(self.config.min_numbers, self.config.max_numbers)
numbers = [rng.randint(self.config.min_value, self.config.max_value)
for _ in range(num_count)]
numbers = [rng.randint(self.config.min_value, self.config.max_value) for _ in range(num_count)]
result = reduce(lcm, numbers)
return numbers, result
def __getitem__(self, idx: int) -> dict:
"""Generate a single LCM task"""
rng = Random(self.seed + idx)
numbers, result = self._generate_numbers(rng)
numbers_str = ", ".join(str(n) for n in numbers)
return {
"question": f"Find the Least Common Multiple (LCM) of these numbers: {numbers_str}",
"answer": str(result),
"metadata": {
"numbers": numbers,
"result": result
}
"metadata": {"numbers": numbers, "result": result},
}