






from math import ceil, sqrt





def 	lowerCAmelCase_		(lowercase__						:       int = 1_00_00_00       )		->    Optional[int]:


    '''simple docstring'''




    lowerCAmelCase__      			=						0

    for outer_width in range(3     ,					(limit // 4) + 2       ):
        if outer_width**2 > limit:
            lowerCAmelCase__      			=						max(ceil(sqrt(outer_width**2 - limit       )       )     ,					1       )
        else:
            lowerCAmelCase__      			=						1
        if (outer_width - hole_width_lower_bound) % 2:
            hole_width_lower_bound += 1

        answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

    return answer


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













from pathlib import Path

import fire





def 	lowerCAmelCase_		(lowercase__						:       str     ,					lowercase__						:       str     ,					lowercase__						:       int       )		->    Dict:


				'''simple docstring'''




				lowerCAmelCase__      			=						Path(lowercase__       )
				lowerCAmelCase__      			=						Path(lowercase__       )
				dest_dir.mkdir(exist_ok=lowercase__       )
				for path in src_dir.iterdir():
								lowerCAmelCase__      			=						[x.rstrip() for x in list(path.open().readlines()       )][:n]
								lowerCAmelCase__      			=						dest_dir.joinpath(path.name       )
								print(lowercase__       )
								dest_path.open('''w'''       ).write('''\n'''.join(lowercase__       )       )


if __name__ == "__main__":
			fire.Fire(minify)





