

import argparse
from collections import defaultdict

import yaml


SCREAMING_SNAKE_CASE		:Optional[int]						=     """docs/source/en/_toctree.yml"""




def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_			)->						List[str]:



    """simple docstring"""






    UpperCamelCase_			  =						defaultdict(SCREAMING_SNAKE_CASE_			)
    for doc in model_doc:
        counts[doc["local"]] += 1
    UpperCamelCase_			  =						[key for key, value in counts.items() if value > 1]

    UpperCamelCase_			  =						[]
    for duplicate_key in duplicates:
        UpperCamelCase_			  =						list({doc["title"] for doc in model_doc if doc["local"] == duplicate_key}			)
        if len(SCREAMING_SNAKE_CASE_			) > 1:
            raise ValueError(
                f"{duplicate_key} is present several times in the documentation table of content at "
                "`docs/source/en/_toctree.yml` with different *Title* values. Choose one of those and remove the "
                "others."			)
        # Only add this once
        new_doc.append({"local": duplicate_key, "title": titles[0]}			)

    # Add none duplicate-keys
    new_doc.extend([doc for doc in model_doc if counts[doc["local"]] == 1]			)

    # Sort
    return sorted(SCREAMING_SNAKE_CASE_			,						key=lambda SCREAMING_SNAKE_CASE_			: s["title"].lower()			)




def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_=False			)->						List[str]:



    """simple docstring"""






    with open(SCREAMING_SNAKE_CASE_			,						encoding="utf-8"			) as f:
        UpperCamelCase_			  =						yaml.safe_load(f.read()			)

    # Get to the API doc
    UpperCamelCase_			  =						0
    while content[api_idx]["title"] != "API":
        api_idx += 1
    UpperCamelCase_			  =						content[api_idx]["sections"]

    # Then to the model doc
    UpperCamelCase_			  =						0
    while api_doc[model_idx]["title"] != "Models":
        model_idx += 1

    UpperCamelCase_			  =						api_doc[model_idx]["sections"]

    UpperCamelCase_			  =						[(idx, section) for idx, section in enumerate(SCREAMING_SNAKE_CASE_			) if "sections" in section]
    UpperCamelCase_			  =						False
    for idx, modality_doc in modalities_docs:
        UpperCamelCase_			  =						modality_doc["sections"]
        UpperCamelCase_			  =						clean_model_doc_toc(SCREAMING_SNAKE_CASE_			)

        if old_modality_doc != new_modality_doc:
            UpperCamelCase_			  =						True
            if overwrite:
                UpperCamelCase_			  =						new_modality_doc

    if diff:
        if overwrite:
            UpperCamelCase_			  =						model_doc
            UpperCamelCase_			  =						api_doc
            with open(SCREAMING_SNAKE_CASE_			,						"w"			,						encoding="utf-8"			) as f:
                f.write(yaml.dump(SCREAMING_SNAKE_CASE_			,						allow_unicode=SCREAMING_SNAKE_CASE_			)			)
        else:
            raise ValueError(
                "The model doc part of the table of content is not properly sorted, run `make style` to fix this."			)


if __name__ == "__main__":
 SCREAMING_SNAKE_CASE		:Any						=     argparse.ArgumentParser()
 parser.add_argument("""--fix_and_overwrite""", action="""store_true""", help="""Whether to fix inconsistencies.""")
 SCREAMING_SNAKE_CASE		:Any						=     parser.parse_args()

 check_model_doc(args.fix_and_overwrite)



def 			lowerCAmelCase(      SCREAMING_SNAKE_CASE_ = 1_0_0_0_0_0_0			)->						int:



    """simple docstring"""






    UpperCamelCase_			  =						[i - 1 for i in range(limit + 1			)]

    for i in range(2			,						limit + 1			):
        if phi[i] == i - 1:
            for j in range(2 * i			,						limit + 1			,						SCREAMING_SNAKE_CASE_			):
                phi[j] -= phi[j] // i

    return sum(phi[2 : limit + 1]			)


if __name__ == "__main__":
 print(solution())
