reasoning-gym/reasoning_gym/algorithmic/count_primes.py
Zafir Stojanovski dced3bfc45
fix(curriculum): Make boundaries in curriculum more sensible (#407)
* init

* fix tests

* unify codeio

* filtered for libraries not present in reasoning-gym

* fix more bounds

* puzzle24

* knight swap curriculum

* fix number sorting

* fix attributes

* add validation of config in creation of dataset

* dry run for instantiating and validating the datasets

* remove unused imports

* fix curriculum tests to reference newly updated attribute names
2025-04-04 20:24:14 +02:00

96 lines
3.1 KiB
Python

"""Count prime numbers in a given interval.
Solution obtained with Sieve of Eratosthenes:
https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
"""
import math
from dataclasses import dataclass
from random import Random
from typing import Optional
from ..coaching import BaseCurriculum, RangeAttributeDefinition
from ..factory import ProceduralDataset, register_dataset
QUESTION_TEMPLATE = """Count how many prime numbers there are between {start} and {end} (inclusive) ?"""
DATASET_NAME = "count_primes"
@dataclass
class CountPrimesConfig:
"""Configuration for Count Primes dataset generation"""
min_n: int = 1 # Lower bound for the interval
max_n: int = 10_000 # Upper bound for the interval
size: int = 500 # Virtual dataset size
seed: Optional[int] = None
def validate(self):
"""Validate configuration parameters"""
assert 1 <= self.min_n, "min_n must be at least 1"
assert self.min_n <= self.max_n, "min_n must be less than or equal to max_n"
class CountPrimesDataset(ProceduralDataset):
"""Generates Count Primes exercises with configurable difficulty"""
def __init__(self, config: CountPrimesConfig):
super().__init__(config=config, seed=config.seed, size=config.size)
self.primes = self._get_primes(config.max_n + 1)
def _get_primes(self, n: int) -> list[bool]:
if n <= 1:
return []
primes = [True] * n
primes[0] = primes[1] = False
for i in range(2, int(math.sqrt(n)) + 1):
if primes[i]:
for j in range(2 * i, n, i):
primes[j] = False
return primes
def __getitem__(self, idx: int) -> dict:
"""Generate a single Count Primes question"""
rng = Random(self.seed + idx)
start = rng.randint(self.config.min_n, self.config.max_n)
end = rng.randint(start, self.config.max_n)
primes = [i for i in range(start, end + 1) if self.primes[i]]
answer = len(primes)
return {
"question": QUESTION_TEMPLATE.format(start=start, end=end),
"answer": str(answer),
"metadata": {
"source_dataset": DATASET_NAME,
"source_index": idx,
"start": start,
"end": end,
"primes": primes,
"solution": answer,
"n": (start, end),
"difficulty": {
"n": (self.config.min_n, self.config.max_n),
},
},
}
class CountPrimesCurriculum(BaseCurriculum):
def __init__(self):
super().__init__(CountPrimesCurriculum.__name__, CountPrimesConfig)
# Define attributes
self._define_attributes(
RangeAttributeDefinition(
name="n",
levels=[10, 1000, 10_000, 50_000, 100_000],
description="Up to which number to consider the primes",
lower_field_name="min_n",
upper_field_name="max_n",
ensure_interval=True,
)
)
register_dataset(DATASET_NAME, CountPrimesDataset, CountPrimesConfig, CountPrimesCurriculum)