






"""simple docstring"""
import os

import pytest
import yaml

from datasets.features.features import Features, Value
from datasets.info import DatasetInfo, DatasetInfosDict

@pytest.mark.parametrize(
    "files"      ,[
        ["full:README.md", "dataset_infos.json"],
        ["empty:README.md", "dataset_infos.json"],
        ["dataset_infos.json"],
        ["full:README.md"],
    ]      ,)
def 							snake_case (  A__      ,A__		):
			UpperCAmelCase_	:					List[str]     	=   tmp_path_factory.mktemp("dset_infos_dir"		)
			if "full:README.md" in files:
						with open(dataset_infos_dir / "README.md"      ,"w"		) as f:
									f.write("---\ndataset_info:\n  dataset_size: 42\n---"		)
			if "empty:README.md" in files:
						with open(dataset_infos_dir / "README.md"      ,"w"		) as f:
									f.write(""		)
    # we want to support dataset_infos.json for backward compatibility
			if "dataset_infos.json" in files:
						with open(dataset_infos_dir / "dataset_infos.json"      ,"w"		) as f:
									f.write("{\"default\": {\"dataset_size\": 42}}"		)
			UpperCAmelCase_	:					List[Any]     	=   DatasetInfosDict.from_directory(A__		)
			assert dataset_infos
			assert dataset_infos["default"].dataset_size == 42

@pytest.mark.parametrize(
    "dataset_info"      ,[
        DatasetInfo(),
        DatasetInfo(
            description="foo"      ,features=Features({"a": Value("int32"		)}		)      ,builder_name="builder"      ,config_name="config"      ,version="1.0.0"      ,splits=[{"name": "train"}]      ,download_size=42      ,),
    ]      ,)
def 							snake_case (  A__      ,A__		):
			UpperCAmelCase_	:					Tuple     	=   str(A__		)
			dataset_info.write_to_directory(A__		)
			UpperCAmelCase_	:					Dict     	=   DatasetInfo.from_directory(A__		)
			assert dataset_info == reloaded
			assert os.path.exists(os.path.join(A__      ,"dataset_info.json"		)		)

def 							snake_case (  ):
			UpperCAmelCase_	:					List[Any]     	=   DatasetInfo(
			    description="foo"      ,citation="bar"      ,homepage="https://foo.bar"      ,license="CC0"      ,features=Features({"a": Value("int32"		)}		)      ,post_processed={}      ,supervised_keys=()      ,task_templates=[]      ,builder_name="builder"      ,config_name="config"      ,version="1.0.0"      ,splits=[{"name": "train", "num_examples": 42}]      ,download_checksums={}      ,download_size=13_37      ,post_processing_size=4_42      ,dataset_size=12_34      ,size_in_bytes=13_37 + 4_42 + 12_34      ,)
			UpperCAmelCase_	:					List[Any]     	=   dataset_info._to_yaml_dict()
			assert sorted(A__		) == sorted(DatasetInfo._INCLUDED_INFO_IN_YAML		)
			for key in DatasetInfo._INCLUDED_INFO_IN_YAML:
						assert key in dataset_info_yaml_dict
						assert isinstance(dataset_info_yaml_dict[key]      ,(list, dict, int, str)		)
			UpperCAmelCase_	:					List[Any]     	=   yaml.safe_dump(A__		)
			UpperCAmelCase_	:					Union[str, Any]     	=   yaml.safe_load(A__		)
			assert dataset_info_yaml_dict == reloaded

def 							snake_case (  ):
			UpperCAmelCase_	:					Tuple     	=   DatasetInfo()
			UpperCAmelCase_	:					List[Any]     	=   dataset_info._to_yaml_dict()
			assert dataset_info_yaml_dict == {}




@pytest.mark.parametrize(
    "dataset_infos_dict"      ,[
        DatasetInfosDict(),
        DatasetInfosDict({"default": DatasetInfo()}		),
        DatasetInfosDict({"my_config_name": DatasetInfo()}		),
        DatasetInfosDict(
            {
                "default": DatasetInfo(
                    description="foo"      ,features=Features({"a": Value("int32"		)}		)      ,builder_name="builder"      ,config_name="config"      ,version="1.0.0"      ,splits=[{"name": "train"}]      ,download_size=42      ,)
            }		),
        DatasetInfosDict(
            {
                "v1": DatasetInfo(dataset_size=42		),
                "v2": DatasetInfo(dataset_size=13_37		),
            }		),
    ]      ,)
def 							snake_case (  A__      ,A__		):
			UpperCAmelCase_	:					List[Any]     	=   str(A__		)
			dataset_infos_dict.write_to_directory(A__		)
			UpperCAmelCase_	:					Tuple     	=   DatasetInfosDict.from_directory(A__		)

			# the config_name of the dataset_infos_dict take over the attribute
			for config_name, dataset_info in dataset_infos_dict.items():
						UpperCAmelCase_	:					List[str]     	=   config_name
						# the yaml representation doesn't include fields like description or citation
						# so we just test that we can recover what we can from the yaml
						UpperCAmelCase_	:					Union[str, Any]     	=   DatasetInfo._from_yaml_dict(dataset_info._to_yaml_dict()		)
			assert dataset_infos_dict == reloaded

			if dataset_infos_dict:
						assert os.path.exists(os.path.join(A__      ,"README.md"		)		)











"""simple docstring"""
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt

def 							snake_case (  A__		):
			UpperCAmelCase_	:					int     	=   int(number**0.5		)
			return number == sq * sq

def 							snake_case (  A__      ,A__      ,A__      ,A__      ,A__      ,A__		):
			UpperCAmelCase_	:					int     	=   x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
			UpperCAmelCase_	:					int     	=   x_den * y_den * z_den
			UpperCAmelCase_	:					int     	=   gcd(A__      ,A__		)
			top //= hcf
			bottom //= hcf
			return top, bottom

def 							snake_case (  A__ = 35		):
			UpperCAmelCase_	:					set     	=   set()
			UpperCAmelCase_	:					int
			UpperCAmelCase_	:					Fraction     	=   Fraction(0		)
			UpperCAmelCase_	:					tuple[int, int]

			for x_num in range(1      ,order + 1		):
						for x_den in range(x_num + 1      ,order + 1		):
									for y_num in range(1      ,order + 1		):
												for y_den in range(y_num + 1      ,order + 1		):
															# n=1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_den + x_den * y_num
															UpperCAmelCase_	:					List[Any]     	=   x_den * y_den
															UpperCAmelCase_	:					Tuple     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					int     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

															# n=2
															UpperCAmelCase_	:					Optional[Any]     	=   (
															    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
															)
															UpperCAmelCase_	:					Dict     	=   x_den * x_den * y_den * y_den
															if is_sq(A__		) and is_sq(A__		):
																		UpperCAmelCase_	:					int     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					Any     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					str     	=   gcd(A__      ,A__		)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					UpperCAmelCase_	:					Tuple     	=   add_three(
																					    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																					unique_s.add(A__		)

                    # n=-1
															UpperCAmelCase_	:					Optional[int]     	=   x_num * y_num
															UpperCAmelCase_	:					Dict     	=   x_den * y_num + x_num * y_den
															UpperCAmelCase_	:					Union[str, Any]     	=   gcd(A__      ,A__		)
															z_num //= hcf
															z_den //= hcf
															if 0 < z_num < z_den <= order:
																		UpperCAmelCase_	:					List[Any]     	=   add_three(
																		    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																		unique_s.add(A__		)

															# n=2
															UpperCAmelCase_	:					Optional[Any]     	=   x_num * x_num * y_num * y_num
															UpperCAmelCase_	:					Dict     	=   (
															    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
															)
															if is_sq(A__		) and is_sq(A__		):
																		UpperCAmelCase_	:					str     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					int     	=   int(sqrt(A__		)		)
																		UpperCAmelCase_	:					Optional[Any]     	=   gcd(A__      ,A__		)
																		z_num //= hcf
																		z_den //= hcf
																		if 0 < z_num < z_den <= order:
																					UpperCAmelCase_	:					Optional[int]     	=   add_three(
																					    A__      ,A__      ,A__      ,A__      ,A__      ,A__		)
																					unique_s.add(A__		)

			for num, den in unique_s:
						total += Fraction(A__      ,A__		)

			return total.denominator + total.numerator


if __name__ == "__main__":
			print(f'{solution() = }')



