


from __future__ import annotations

import math



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		list:
    if len(lowerCamelCase_				) != 2 or len(a[0]				) != 2 or len(lowerCamelCase_				) != 2 or len(b[0]				) != 2:
        raise Exception('Matrices are not 2x2'				)
    _lowercase :							Any   	=	[
        [a[0][0] * b[0][0] + a[0][1] * b[1][0], a[0][0] * b[0][1] + a[0][1] * b[1][1]],
        [a[1][0] * b[0][0] + a[1][1] * b[1][0], a[1][0] * b[0][1] + a[1][1] * b[1][1]],
    ]
    return new_matrix



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		Union[str, Any]:
    return [
        [matrix_a[row][col] + matrix_b[row][col] for col in range(len(matrix_a[row]				)				)]
        for row in range(len(lowerCamelCase_				)				)
    ]



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		int:
    return [
        [matrix_a[row][col] - matrix_b[row][col] for col in range(len(matrix_a[row]				)				)]
        for row in range(len(lowerCamelCase_				)				)
    ]



def        UpperCamelCase_(   lowerCamelCase_				)					->		tuple[list, list, list, list]:
    if len(lowerCamelCase_				) % 2 != 0 or len(a[0]				) % 2 != 0:
        raise Exception('Odd matrices are not supported!'				)

    _lowercase :							Dict   	=	len(lowerCamelCase_				)
    _lowercase :							Optional[int]   	=	matrix_length // 2

    _lowercase :							Optional[int]   	=	[[a[i][j] for j in range(lowerCamelCase_							,				lowerCamelCase_				)] for i in range(lowerCamelCase_				)]
    _lowercase :							List[Any]   	=	[
        [a[i][j] for j in range(lowerCamelCase_							,				lowerCamelCase_				)] for i in range(lowerCamelCase_							,				lowerCamelCase_				)
    ]

    _lowercase :							int   	=	[[a[i][j] for j in range(lowerCamelCase_				)] for i in range(lowerCamelCase_				)]
    _lowercase :							List[str]   	=	[[a[i][j] for j in range(lowerCamelCase_				)] for i in range(lowerCamelCase_							,				lowerCamelCase_				)]

    return top_left, top_right, bot_left, bot_right



def        UpperCamelCase_(   lowerCamelCase_				)					->		tuple[int, int]:
    return len(lowerCamelCase_				), len(matrix[0]				)



def        UpperCamelCase_(   lowerCamelCase_				)					->		None:
    print('\n'.join(str(lowerCamelCase_				) for line in matrix				)				)



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		list:
    if matrix_dimensions(lowerCamelCase_				) == (2, 2):
        return default_matrix_multiplication(lowerCamelCase_							,				lowerCamelCase_				)

    _lowercase	,       _lowercase	,       _lowercase	,       _lowercase :							Optional[int]   	=	split_matrix(lowerCamelCase_				)
    _lowercase	,       _lowercase	,       _lowercase	,       _lowercase :							List[str]   	=	split_matrix(lowerCamelCase_				)

    _lowercase :							str   	=	actual_strassen(lowerCamelCase_							,				matrix_subtraction(lowerCamelCase_							,				lowerCamelCase_				)				)
    _lowercase :							str   	=	actual_strassen(matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)							,				lowerCamelCase_				)
    _lowercase :							int   	=	actual_strassen(matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)							,				lowerCamelCase_				)
    _lowercase :							Dict   	=	actual_strassen(lowerCamelCase_							,				matrix_subtraction(lowerCamelCase_							,				lowerCamelCase_				)				)
    _lowercase :							Optional[Any]   	=	actual_strassen(matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)							,				matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)				)
    _lowercase :							Optional[int]   	=	actual_strassen(matrix_subtraction(lowerCamelCase_							,				lowerCamelCase_				)							,				matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)				)
    _lowercase :							Optional[int]   	=	actual_strassen(matrix_subtraction(lowerCamelCase_							,				lowerCamelCase_				)							,				matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)				)

    _lowercase :							str   	=	matrix_addition(matrix_subtraction(matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)							,				lowerCamelCase_				)							,				lowerCamelCase_				)
    _lowercase :							Union[str, Any]   	=	matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)
    _lowercase :							List[str]   	=	matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)
    _lowercase :							Tuple   	=	matrix_subtraction(matrix_subtraction(matrix_addition(lowerCamelCase_							,				lowerCamelCase_				)							,				lowerCamelCase_				)							,				lowerCamelCase_				)

    # construct the new matrix from our 4 quadrants
    _lowercase :							Optional[Any]   	=	[]
    for i in range(len(lowerCamelCase_				)				):
        new_matrix.append(top_left[i] + top_right[i]				)
    for i in range(len(lowerCamelCase_				)				):
        new_matrix.append(bot_left[i] + bot_right[i]				)
    return new_matrix



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		list:
    if matrix_dimensions(lowerCamelCase_				)[1] != matrix_dimensions(lowerCamelCase_				)[0]:
        _lowercase :							Optional[Any]   	=	(
            'Unable to multiply these matrices, please check the dimensions.\n'
            F'''Matrix A: {matrixa}\n'''
            F'''Matrix B: {matrixa}'''
        )
        raise Exception(lowerCamelCase_				)
    _lowercase :							List[str]   	=	matrix_dimensions(lowerCamelCase_				)
    _lowercase :							Optional[Any]   	=	matrix_dimensions(lowerCamelCase_				)

    if dimensiona[0] == dimensiona[1] and dimensiona[0] == dimensiona[1]:
        return [matrixa, matrixa]

    _lowercase :							Tuple   	=	max(*lowerCamelCase_							,				*lowerCamelCase_				)
    _lowercase :							Optional[int]   	=	int(math.pow(2							,				math.ceil(math.loga(lowerCamelCase_				)				)				)				)
    _lowercase :							Optional[Any]   	=	matrixa
    _lowercase :							List[Any]   	=	matrixa

    # Adding zeros to the matrices so that the arrays dimensions are the same and also
    # power of 2
    for i in range(0							,				lowerCamelCase_				):
        if i < dimensiona[0]:
            for _ in range(dimensiona[1]							,				lowerCamelCase_				):
                new_matrixa[i].append(0				)
        else:
            new_matrixa.append([0] * maxim				)
        if i < dimensiona[0]:
            for _ in range(dimensiona[1]							,				lowerCamelCase_				):
                new_matrixa[i].append(0				)
        else:
            new_matrixa.append([0] * maxim				)

    _lowercase :							Tuple   	=	actual_strassen(lowerCamelCase_							,				lowerCamelCase_				)

    # Removing the additional zeros
    for i in range(0							,				lowerCamelCase_				):
        if i < dimensiona[0]:
            for _ in range(dimensiona[1]							,				lowerCamelCase_				):
                final_matrix[i].pop()
        else:
            final_matrix.pop()
    return final_matrix


if __name__ == "__main__":
 SCREAMING_SNAKE_CASE :   str							      =				[
     [2, 3, 4, 5],
     [6, 4, 3, 1],
     [2, 3, 6, 7],
     [3, 1, 2, 4],
     [2, 3, 4, 5],
     [6, 4, 3, 1],
     [2, 3, 6, 7],
     [3, 1, 2, 4],
     [2, 3, 4, 5],
     [6, 2, 3, 1],
 ]
 SCREAMING_SNAKE_CASE :   Tuple							      =				[[0, 2, 1, 1], [16, 2, 3, 3], [2, 2, 7, 7], [13, 11, 22, 4]]
 print(strassen(matrixa, matrixa))






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        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		List[str]:
    _lowercase :							Any   	=	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}}'				)
    _lowercase :							Any   	=	DatasetInfosDict.from_directory(lowerCamelCase_				)
    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        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		Optional[int]:
    _lowercase :							Union[str, Any]   	=	str(lowerCamelCase_				)
    dataset_info.write_to_directory(lowerCamelCase_				)
    _lowercase :							List[str]   	=	DatasetInfo.from_directory(lowerCamelCase_				)
    assert dataset_info == reloaded
    assert os.path.exists(os.path.join(lowerCamelCase_							,				'dataset_info.json'				)				)



def        UpperCamelCase_(   )					->		int:
    _lowercase :							Tuple   	=	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=1337							,				post_processing_size=442							,				dataset_size=1234							,				size_in_bytes=1337 + 442 + 1234							,				)
    _lowercase :							Optional[int]   	=	dataset_info._to_yaml_dict()
    assert sorted(lowerCamelCase_				) == 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)				)
    _lowercase :							str   	=	yaml.safe_dump(lowerCamelCase_				)
    _lowercase :							str   	=	yaml.safe_load(lowerCamelCase_				)
    assert dataset_info_yaml_dict == reloaded



def        UpperCamelCase_(   )					->		int:
    _lowercase :							Tuple   	=	DatasetInfo()
    _lowercase :							Tuple   	=	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=1337				),
            }				),
    ]							,				)
def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		Dict:
    _lowercase :							Tuple   	=	str(lowerCamelCase_				)
    dataset_infos_dict.write_to_directory(lowerCamelCase_				)
    _lowercase :							Tuple   	=	DatasetInfosDict.from_directory(lowerCamelCase_				)

    # the config_name of the dataset_infos_dict take over the attribute
    for config_name, dataset_info in dataset_infos_dict.items():
        _lowercase :							Any   	=	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
        _lowercase :							str   	=	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(lowerCamelCase_							,				'README.md'				)				)


