





from __future__ import annotations

import math

def      UpperCAmelCase_    (    _UpperCAmelCase							:float  ,						_UpperCAmelCase							:int				)	->				float:
     '''simple docstring'''


     A_          =       u
     for i in range(1  ,						_UpperCAmelCase				):
          A_          =       temp * (u - i)
     return temp

def      UpperCAmelCase_    (    )	->				None:
     '''simple docstring'''


     A_          =       int(input('''enter the numbers of values: '''				)				)
     A_          =       []
     for _ in range(_UpperCAmelCase				):
          y.append([]				)
     for i in range(_UpperCAmelCase				):
          for j in range(_UpperCAmelCase				):
               y[i].append(_UpperCAmelCase				)
               A_          =       0

     print('''enter the values of parameters in a list: '''				)
     A_          =       list(map(_UpperCAmelCase  ,						input().split()				)				)

     print('''enter the values of corresponding parameters: '''				)
     for i in range(_UpperCAmelCase				):
          A_          =       float(input()				)

     A_          =       int(input('''enter the value to interpolate: '''				)				)
     A_          =       (value - x[0]) / (x[1] - x[0])

     # for calculating forward difference table

     for i in range(1  ,						_UpperCAmelCase				):
          for j in range(n - i				):
               A_          =       y[j + 1][i - 1] - y[j][i - 1]

     A_          =       y[0][0]
     for i in range(1  ,						_UpperCAmelCase				):
          summ += (ucal(_UpperCAmelCase  ,						_UpperCAmelCase				) * y[0][i]) / math.factorial(_UpperCAmelCase				)

     print(f'the value at {value} is {summ}'				)


if __name__ == "__main__":
      main()










import argparse
import os
import re


a__      :     str         =		'src/transformers'

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

def      UpperCAmelCase_    (    _UpperCAmelCase							:Tuple				)	->				Union[str, Any]:
     '''simple docstring'''


     A_          =       _re_indent.search(_UpperCAmelCase				)
     return "" if search is None else search.groups()[0]

def      UpperCAmelCase_    (    _UpperCAmelCase							:Optional[int]  ,						_UpperCAmelCase							:List[Any]=""  ,						_UpperCAmelCase							:Optional[Any]=None  ,						_UpperCAmelCase							:List[str]=None				)	->				Optional[Any]:
     '''simple docstring'''


     A_          =       0
     A_          =       code.split('''\n'''				)
     if start_prompt is not None:
          while not lines[index].startswith(_UpperCAmelCase				):
               index += 1
          A_          =       ['''\n'''.join(lines[:index]				)]
     else:
          A_          =       []

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

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

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

     return blocks

def      UpperCAmelCase_    (    _UpperCAmelCase							:List[Any]				)	->				Dict:
     '''simple docstring'''


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

     return _inner

def      UpperCAmelCase_    (    _UpperCAmelCase							:List[str]  ,						_UpperCAmelCase							:Dict=None				)	->				Union[str, Any]:
     '''simple docstring'''


     def noop(_UpperCAmelCase							:int				):
          return x

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

     A_          =       ignore_underscore(_UpperCAmelCase				)
     return sorted(_UpperCAmelCase  ,						key=_UpperCAmelCase				) + sorted(_UpperCAmelCase  ,						key=_UpperCAmelCase				) + sorted(_UpperCAmelCase  ,						key=_UpperCAmelCase				)

def      UpperCAmelCase_    (    _UpperCAmelCase							:int				)	->				str:
     '''simple docstring'''


     def _replace(_UpperCAmelCase							:List[Any]				):
          A_          =       match.groups()[0]
          if "," not in imports:
               return f'[{imports}]'
          A_          =       [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:
               A_          =       keys[:-1]
          return "[" + ", ".join([f'"{k}"' for k in sort_objects(_UpperCAmelCase				)]				) + "]"

     A_          =       import_statement.split('''\n'''				)
     if len(_UpperCAmelCase				) > 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.
          A_          =       2 if lines[1].strip() == '''[''' else 1
          A_          =       [(i, _re_strip_line.search(_UpperCAmelCase				).groups()[0]) for i, line in enumerate(lines[idx:-idx]				)]
          A_          =       sort_objects(_UpperCAmelCase  ,						key=lambda _UpperCAmelCase				: x[1]				)
          A_          =       [lines[x[0] + idx] for x in sorted_indices]
          return "\n".join(lines[:idx] + sorted_lines + lines[-idx:]				)
     elif len(_UpperCAmelCase				) == 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:
               A_          =       _re_bracket_content.sub(_replace  ,						lines[1]				)
          else:
               A_          =       [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:
                    A_          =       keys[:-1]
               A_          =       get_indent(lines[1]				) + ''', '''.join([f'"{k}"' for k in sort_objects(_UpperCAmelCase				)]				)
          return "\n".join(_UpperCAmelCase				)
     else:
          # Finally we have to deal with imports fitting on one line
          A_          =       _re_bracket_content.sub(_replace  ,						_UpperCAmelCase				)
          return import_statement

def      UpperCAmelCase_    (    _UpperCAmelCase							:str  ,						_UpperCAmelCase							:int=True				)	->				str:
     '''simple docstring'''


     with open(_UpperCAmelCase  ,						encoding='''utf-8'''				) as f:
          A_          =       f.read()

     if "_import_structure" not in code:
          return

     # Blocks of indent level 0
     A_          =       split_code_in_indented_blocks(
         _UpperCAmelCase  ,						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(_UpperCAmelCase				) - 1				):
          # Check if the block contains some `_import_structure`s thingy to sort.
          A_          =       main_blocks[block_idx]
          A_          =       block.split('''\n'''				)

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

          # Ignore beginning and last line: they don't contain anything.
          A_          =       '''\n'''.join(block_lines[line_idx:-1]				)
          A_          =       get_indent(block_lines[1]				)
          # Slit the internal block into blocks of indent level 1.
          A_          =       split_code_in_indented_blocks(_UpperCAmelCase  ,						indent_level=_UpperCAmelCase				)
          # We have two categories of import key: list or _import_structure[key].append/extend
          A_          =       _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.
          A_          =       [(pattern.search(_UpperCAmelCase				).groups()[0] if pattern.search(_UpperCAmelCase				) is not None else None) for b in internal_blocks]
          # We only sort the lines with a key.
          A_          =       [(i, key) for i, key in enumerate(_UpperCAmelCase				) if key is not None]
          A_          =       [x[0] for x in sorted(_UpperCAmelCase  ,						key=lambda _UpperCAmelCase				: x[1]				)]

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

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

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

def      UpperCAmelCase_    (    _UpperCAmelCase							:Optional[Any]=True				)	->				Tuple:
     '''simple docstring'''


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


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

      sort_imports_in_all_inits(check_only=args.check_only)



