




import argparse
import os
import re


__a							     =					'src/transformers'

# Pattern that looks at the indentation in a line.
__a							     =					re.compile(R'^(\s*)\S')
# Pattern that matches `"key":" and puts `key` in group 0.
__a							     =					re.compile(R'^\s*"([^"]+)":')
# Pattern that matches `_import_structure["key"]` and puts `key` in group 0.
__a							     =					re.compile(R'^\s*_import_structure\["([^"]+)"\]')
# Pattern that matches `"key",` and puts `key` in group 0.
__a							     =					re.compile(R'^\s*"([^"]+)",\s*$')
# Pattern that matches any `[stuff]` and puts `stuff` in group 0.
__a							     =					re.compile(R'\[([^\]]+)\]')







def lowerCamelCase__  (     _lowercase ):

     '''simple docstring'''


     UpperCAmelCase_     :				Any  =     _re_indent.search(_lowercase )
     return "" if search is None else search.groups()[0]







def lowerCamelCase__  (     _lowercase					,		_lowercase=""					,		_lowercase=None					,		_lowercase=None ):

     '''simple docstring'''


     UpperCAmelCase_     :				Any  =     0
     UpperCAmelCase_     :				List[Any]  =     code.split('''\n''' )
     if start_prompt is not None:
          while not lines[index].startswith(_lowercase ):
               index += 1
          UpperCAmelCase_     :				Optional[int]  =     ['''\n'''.join(lines[:index] )]
     else:
          UpperCAmelCase_     :				str  =     []

     # We split into blocks until we get to the `end_prompt` (or the end of the block).
     UpperCAmelCase_     :				int  =     [lines[index]]
     index += 1
     while index < len(_lowercase ) and (end_prompt is None or not lines[index].startswith(_lowercase )):
          if len(lines[index] ) > 0 and get_indent(lines[index] ) == indent_level:
               if len(_lowercase ) > 0 and get_indent(current_block[-1] ).startswith(indent_level + ''' ''' ):
                    current_block.append(lines[index] )
                    blocks.append('''\n'''.join(_lowercase ) )
                    if index < len(_lowercase ) - 1:
                         UpperCAmelCase_     :				Optional[int]  =     [lines[index + 1]]
                         index += 1
                    else:
                         UpperCAmelCase_     :				int  =     []
               else:
                    blocks.append('''\n'''.join(_lowercase ) )
                    UpperCAmelCase_     :				str  =     [lines[index]]
          else:
               current_block.append(lines[index] )
          index += 1

     # Adds current block if it's nonempty.
     if len(_lowercase ) > 0:
          blocks.append('''\n'''.join(_lowercase ) )

     # Add final block after end_prompt if provided.
     if end_prompt is not None and index < len(_lowercase ):
          blocks.append('''\n'''.join(lines[index:] ) )

     return blocks







def lowerCamelCase__  (     _lowercase ):

     '''simple docstring'''


     def _inner(_lowercase ):
          return key(_lowercase ).lower().replace('''_'''					,		'''''' )

     return _inner







def lowerCamelCase__  (     _lowercase					,		_lowercase=None ):

     '''simple docstring'''


     def noop(_lowercase ):
          return x

     if key is None:
          UpperCAmelCase_     :				Dict  =     noop
     # Constants are all uppercase, they go first.
     UpperCAmelCase_     :				List[Any]  =     [obj for obj in objects if key(_lowercase ).isupper()]
     # Classes are not all uppercase but start with a capital, they go second.
     UpperCAmelCase_     :				List[str]  =     [obj for obj in objects if key(_lowercase )[0].isupper() and not key(_lowercase ).isupper()]
     # Functions begin with a lowercase, they go last.
     UpperCAmelCase_     :				Dict  =     [obj for obj in objects if not key(_lowercase )[0].isupper()]

     UpperCAmelCase_     :				List[str]  =     ignore_underscore(_lowercase )
     return sorted(_lowercase					,		key=_lowercase ) + sorted(_lowercase					,		key=_lowercase ) + sorted(_lowercase					,		key=_lowercase )







def lowerCamelCase__  (     _lowercase ):

     '''simple docstring'''


     def _replace(_lowercase ):
          UpperCAmelCase_     :				Union[str, Any]  =     match.groups()[0]
          if "," not in imports:
               return f'''[{imports}]'''
          UpperCAmelCase_     :				List[str]  =     [part.strip().replace('''"'''					,		'''''' ) for part in imports.split(''',''' )]
          # We will have a final empty element if the line finished with a comma.
          if len(keys[-1] ) == 0:
               UpperCAmelCase_     :				Tuple  =     keys[:-1]
          return "[" + ", ".join([f'''"{k}"''' for k in sort_objects(_lowercase )] ) + "]"

     UpperCAmelCase_     :				str  =     import_statement.split('''\n''' )
     if len(_lowercase ) > 3:
          # Here we have to sort internal imports that are on several lines (one per name):
          # key: [
          #     "object1",
          #     "object2",
          #     ...
          # ]

          # We may have to ignore one or two lines on each side.
          UpperCAmelCase_     :				List[Any]  =     2 if lines[1].strip() == '''[''' else 1
          UpperCAmelCase_     :				Tuple  =     [(i, _re_strip_line.search(_lowercase ).groups()[0]) for i, line in enumerate(lines[idx:-idx] )]
          UpperCAmelCase_     :				str  =     sort_objects(_lowercase					,		key=lambda _lowercase : x[1] )
          UpperCAmelCase_     :				Dict  =     [lines[x[0] + idx] for x in sorted_indices]
          return "\n".join(lines[:idx] + sorted_lines + lines[-idx:] )
     elif len(_lowercase ) == 3:
          # Here we have to sort internal imports that are on one separate line:
          # key: [
          #     "object1", "object2", ...
          # ]
          if _re_bracket_content.search(lines[1] ) is not None:
               UpperCAmelCase_     :				Tuple  =     _re_bracket_content.sub(_replace					,		lines[1] )
          else:
               UpperCAmelCase_     :				str  =     [part.strip().replace('''"'''					,		'''''' ) for part in lines[1].split(''',''' )]
               # We will have a final empty element if the line finished with a comma.
               if len(keys[-1] ) == 0:
                    UpperCAmelCase_     :				int  =     keys[:-1]
               UpperCAmelCase_     :				List[Any]  =     get_indent(lines[1] ) + ''', '''.join([f'''"{k}"''' for k in sort_objects(_lowercase )] )
          return "\n".join(_lowercase )
     else:
          # Finally we have to deal with imports fitting on one line
          UpperCAmelCase_     :				List[Any]  =     _re_bracket_content.sub(_replace					,		_lowercase )
          return import_statement







def lowerCamelCase__  (     _lowercase					,		_lowercase=True ):

     '''simple docstring'''


     with open(_lowercase					,		encoding='''utf-8''' ) as f:
          UpperCAmelCase_     :				Dict  =     f.read()

     if "_import_structure" not in code:
          return

     # Blocks of indent level 0
     UpperCAmelCase_     :				int  =     split_code_in_indented_blocks(
         _lowercase					,		start_prompt='''_import_structure = {'''					,		end_prompt='''if TYPE_CHECKING:''' )

     # We ignore block 0 (everything untils start_prompt) and the last block (everything after end_prompt).
     for block_idx in range(1					,		len(_lowercase ) - 1 ):
          # Check if the block contains some `_import_structure`s thingy to sort.
          UpperCAmelCase_     :				Union[str, Any]  =     main_blocks[block_idx]
          UpperCAmelCase_     :				List[str]  =     block.split('''\n''' )

          # Get to the start of the imports.
          UpperCAmelCase_     :				str  =     0
          while line_idx < len(_lowercase ) and "_import_structure" not in block_lines[line_idx]:
               # Skip dummy import blocks
               if "import dummy" in block_lines[line_idx]:
                    UpperCAmelCase_     :				Tuple  =     len(_lowercase )
               else:
                    line_idx += 1
          if line_idx >= len(_lowercase ):
               continue

          # Ignore beginning and last line: they don't contain anything.
          UpperCAmelCase_     :				List[str]  =     '''\n'''.join(block_lines[line_idx:-1] )
          UpperCAmelCase_     :				int  =     get_indent(block_lines[1] )
          # Slit the internal block into blocks of indent level 1.
          UpperCAmelCase_     :				Any  =     split_code_in_indented_blocks(_lowercase					,		indent_level=_lowercase )
          # We have two categories of import key: list or _import_structure[key].append/extend
          UpperCAmelCase_     :				Optional[Any]  =     _re_direct_key if '''_import_structure = {''' in block_lines[0] else _re_indirect_key
          # Grab the keys, but there is a trap: some lines are empty or just comments.
          UpperCAmelCase_     :				Dict  =     [(pattern.search(_lowercase ).groups()[0] if pattern.search(_lowercase ) is not None else None) for b in internal_blocks]
          # We only sort the lines with a key.
          UpperCAmelCase_     :				List[Any]  =     [(i, key) for i, key in enumerate(_lowercase ) if key is not None]
          UpperCAmelCase_     :				List[Any]  =     [x[0] for x in sorted(_lowercase					,		key=lambda _lowercase : x[1] )]

          # We reorder the blocks by leaving empty lines/comments as they were and reorder the rest.
          UpperCAmelCase_     :				Dict  =     0
          UpperCAmelCase_     :				int  =     []
          for i in range(len(_lowercase ) ):
               if keys[i] is None:
                    reorderded_blocks.append(internal_blocks[i] )
               else:
                    UpperCAmelCase_     :				List[str]  =     sort_objects_in_import(internal_blocks[sorted_indices[count]] )
                    reorderded_blocks.append(_lowercase )
                    count += 1

        # And we put our main block back together with its first and last line.
          UpperCAmelCase_     :				int  =     '''\n'''.join(block_lines[:line_idx] + reorderded_blocks + [block_lines[-1]] )

     if code != "\n".join(_lowercase ):
          if check_only:
               return True
          else:
               print(f'''Overwriting {file}.''' )
               with open(_lowercase					,		'''w'''					,		encoding='''utf-8''' ) as f:
                    f.write('''\n'''.join(_lowercase ) )







def lowerCamelCase__  (     _lowercase=True ):

     '''simple docstring'''


     UpperCAmelCase_     :				str  =     []
     for root, _, files in os.walk(_lowercase ):
          if "__init__.py" in files:
               UpperCAmelCase_     :				int  =     sort_imports(os.path.join(_lowercase					,		'''__init__.py''' )					,		check_only=_lowercase )
               if result:
                    UpperCAmelCase_     :				str  =     [os.path.join(_lowercase					,		'''__init__.py''' )]
     if len(_lowercase ) > 0:
          raise ValueError(f'''Would overwrite {len(_lowercase )} files, run `make style`.''' )


if __name__ == "__main__":
     __a							     =					argparse.ArgumentParser()
     parser.add_argument('--check_only', action='store_true', help='Whether to only check or fix style.')
     __a							     =					parser.parse_args()

     sort_imports_in_all_inits(check_only=args.check_only)





from decimal import Decimal, getcontext
from math import ceil, factorial







def lowerCamelCase__  (     _lowercase ):

     '''simple docstring'''


     if not isinstance(_lowercase					,		_lowercase ):
          raise TypeError('''Undefined for non-integers''' )
     elif precision < 1:
          raise ValueError('''Undefined for non-natural numbers''' )

     UpperCAmelCase_     :				Tuple  =     precision
     UpperCAmelCase_     :				Optional[Any]  =     ceil(precision / 14 )
     UpperCAmelCase_     :				int  =     426880 * Decimal(10005 ).sqrt()
     UpperCAmelCase_     :				Tuple  =     1
     UpperCAmelCase_     :				List[Any]  =     13591409
     UpperCAmelCase_     :				Optional[Any]  =     Decimal(_lowercase )
     for k in range(1					,		_lowercase ):
          UpperCAmelCase_     :				List[str]  =     factorial(6 * k ) // (factorial(3 * k ) * factorial(_lowercase ) ** 3)
          linear_term += 545140134
          exponential_term *= -262537412640768000
          partial_sum += Decimal(multinomial_term * linear_term ) / exponential_term
     return str(constant_term / partial_sum )[:-1]


if __name__ == "__main__":
     __a							     =					50
     print(F"""The first {n} digits of pi is: {pi(n)}""")