'''simple docstring'''





import os
import sys
import warnings
from dataclasses import dataclass, field
from io import BytesIO
from typing import TYPE_CHECKING, Any, ClassVar, Dict, List, Optional, Union

import numpy as np
import pyarrow as pa

from .. import config
from ..download.streaming_download_manager import xopen
from ..table import array_cast
from ..utils.file_utils import is_local_path
from ..utils.py_utils import first_non_null_value, no_op_if_value_is_null, string_to_dict


if TYPE_CHECKING:
    import PIL.Image

    from .features import FeatureType


SCREAMING_SNAKE_CASE_:     Optional[List[str]]  =None
SCREAMING_SNAKE_CASE_:     Optional[Any]  ='''<''' if sys.byteorder == '''little''' else '''>'''
# Origin: https://github.com/python-pillow/Pillow/blob/698951e19e19972aeed56df686868f1329981c12/src/PIL/Image.py#L3126 minus "|i1" which values are not preserved correctly when saving and loading an image
SCREAMING_SNAKE_CASE_:     Union[str, Any]  =[
    np.dtype('|b1'),
    np.dtype('|u1'),
    np.dtype('<u2'),
    np.dtype('>u2'),
    np.dtype('<i2'),
    np.dtype('>i2'),
    np.dtype('<u4'),
    np.dtype('>u4'),
    np.dtype('<i4'),
    np.dtype('>i4'),
    np.dtype('<f4'),
    np.dtype('>f4'),
    np.dtype('<f8'),
    np.dtype('>f8'),
]




@dataclass
class        __A      :
    a__       :						int          =  True
    a__       :						int          =  None
    # Automatically constructed
    a__       :						Optional[Any]          =  """PIL.Image.Image"""
    a__       :						Optional[int]          =  pa.struct({"""bytes""": pa.binary(), """path""": pa.string()}	)
    a__       :						List[str]          =  field(default="""Image"""		,	init=_lowerCAmelCase		,	repr=_lowerCAmelCase	)



    def __call__(self    :    Optional[int] ):
         return self.pa_type



    def 					_lowercase						(self    :    Optional[int]   ,			__a    :    Union[str, bytes, dict, np.ndarray, "PIL.Image.Image"] ):




         if config.PIL_AVAILABLE:
              import PIL.Image
         else:
              raise ImportError("To support encoding images, please install 'Pillow'." )

         if isinstance(__a   ,			__a ):
              UpperCAmelCase_           =   np.array(__a )

         if isinstance(__a   ,			__a ):
              return {"path": value, "bytes": None}
         elif isinstance(__a   ,			__a ):
              return {"path": None, "bytes": value}
         elif isinstance(__a   ,			np.ndarray ):
              # convert the image array to PNG/TIFF bytes
              return encode_np_array(__a )
         elif isinstance(__a   ,			PIL.Image.Image ):
              # convert the PIL image to bytes (default format is PNG/TIFF)
              return encode_pil_image(__a )
         elif value.get("path" ) is not None and os.path.isfile(value["path"] ):
              # we set "bytes": None to not duplicate the data if they're already available locally
              return {"bytes": None, "path": value.get("path" )}
         elif value.get("bytes" ) is not None or value.get("path" ) is not None:
              # store the image bytes, and path is used to infer the image format using the file extension
              return {"bytes": value.get("bytes" ), "path": value.get("path" )}
         else:
              raise ValueError(
                  f"""An image sample should have one of \'path\' or \'bytes\' but they are missing or None in {value}.""" )



    def 					_lowercase						(self    :    int   ,			__a    :    dict   ,			__a    :    List[str]=None ):




         if not self.decode:
              raise RuntimeError("Decoding is disabled for this feature. Please use Image(decode=True) instead." )

         if config.PIL_AVAILABLE:
              import PIL.Image
         else:
              raise ImportError("To support decoding images, please install 'Pillow'." )

         if token_per_repo_id is None:
              UpperCAmelCase_           =   {}

         UpperCAmelCase_           =   value["path"], value["bytes"]
         if bytes_ is None:
              if path is None:
                   raise ValueError(f"""An image should have one of \'path\' or \'bytes\' but both are None in {value}.""" )
              else:
                   if is_local_path(__a ):
                        UpperCAmelCase_           =   PIL.Image.open(__a )
                   else:
                        UpperCAmelCase_           =   path.split("::" )[-1]
                        try:
                             UpperCAmelCase_           =   string_to_dict(__a   ,			config.HUB_DATASETS_URL )["repo_id"]
                             UpperCAmelCase_           =   token_per_repo_id.get(__a )
                        except ValueError:
                             UpperCAmelCase_           =   None
                        with xopen(__a   ,			"rb"   ,			use_auth_token=__a ) as f:
                             UpperCAmelCase_           =   BytesIO(f.read() )
                        UpperCAmelCase_           =   PIL.Image.open(bytes_ )
         else:
              UpperCAmelCase_           =   PIL.Image.open(BytesIO(bytes_ ) )
         image.load()  # to avoid "Too many open files" errors
         return image



    def 					_lowercase						(self    :    Optional[Any] ):
         from .features import Value

         return (
             self
             if self.decode
             else {
                 "bytes": Value("binary" ),
                 "path": Value("string" ),
             }
         )



    def 					_lowercase						(self    :    Union[str, Any]   ,			__a    :    Union[pa.StringArray, pa.StructArray, pa.ListArray] ):




         if pa.types.is_string(storage.type ):
              UpperCAmelCase_           =   pa.array([None] * len(__a )   ,			type=pa.binary() )
              UpperCAmelCase_           =   pa.StructArray.from_arrays([bytes_array, storage]   ,			["bytes", "path"]   ,			mask=storage.is_null() )
         elif pa.types.is_binary(storage.type ):
              UpperCAmelCase_           =   pa.array([None] * len(__a )   ,			type=pa.string() )
              UpperCAmelCase_           =   pa.StructArray.from_arrays([storage, path_array]   ,			["bytes", "path"]   ,			mask=storage.is_null() )
         elif pa.types.is_struct(storage.type ):
              if storage.type.get_field_index("bytes" ) >= 0:
                   UpperCAmelCase_           =   storage.field("bytes" )
              else:
                   UpperCAmelCase_           =   pa.array([None] * len(__a )   ,			type=pa.binary() )
              if storage.type.get_field_index("path" ) >= 0:
                   UpperCAmelCase_           =   storage.field("path" )
              else:
                   UpperCAmelCase_           =   pa.array([None] * len(__a )   ,			type=pa.string() )
              UpperCAmelCase_           =   pa.StructArray.from_arrays([bytes_array, path_array]   ,			["bytes", "path"]   ,			mask=storage.is_null() )
         elif pa.types.is_list(storage.type ):
              UpperCAmelCase_           =   pa.array(
                  [encode_np_array(np.array(__a ) )["bytes"] if arr is not None else None for arr in storage.to_pylist()]   ,			type=pa.binary()   ,			)
              UpperCAmelCase_           =   pa.array([None] * len(__a )   ,			type=pa.string() )
              UpperCAmelCase_           =   pa.StructArray.from_arrays(
                  [bytes_array, path_array]   ,			["bytes", "path"]   ,			mask=bytes_array.is_null() )
         return array_cast(__a   ,			self.pa_type )






    def 					_lowercase						(self    :    Optional[Any]   ,			__a    :    pa.StructArray ):




         @no_op_if_value_is_null
         def path_to_bytes(__a    :    List[str] ):
              with xopen(__a   ,			"rb" ) as f:
                   UpperCAmelCase_           =   f.read()
              return bytes_

         UpperCAmelCase_           =   pa.array(
             [
                 (path_to_bytes(x["path"] ) if x["bytes"] is None else x["bytes"]) if x is not None else None
                 for x in storage.to_pylist()
             ]   ,			type=pa.binary()   ,			)
         UpperCAmelCase_           =   pa.array(
             [os.path.basename(__a ) if path is not None else None for path in storage.field("path" ).to_pylist()]   ,			type=pa.string()   ,			)
         UpperCAmelCase_           =   pa.StructArray.from_arrays([bytes_array, path_array]   ,			["bytes", "path"]   ,			mask=bytes_array.is_null() )
         return array_cast(__a   ,			self.pa_type )





def 	lowerCAmelCase_				(					)    ->      Union[str, Any]:


     '''simple docstring'''




     if config.PIL_AVAILABLE:
          import PIL.Image
     else:
          raise ImportError("To support encoding images, please install 'Pillow'."			)

     global _IMAGE_COMPRESSION_FORMATS
     if _IMAGE_COMPRESSION_FORMATS is None:
          PIL.Image.init()
          UpperCAmelCase_           =   list(set(PIL.Image.OPEN.keys()			) & set(PIL.Image.SAVE.keys()			)			)
     return _IMAGE_COMPRESSION_FORMATS





def 	lowerCAmelCase_				(					snake_case_       : "PIL.Image.Image"			)    ->      int:


     '''simple docstring'''




     UpperCAmelCase_           =   BytesIO()
     if image.format in list_image_compression_formats():
          UpperCAmelCase_           =   image.format
     else:
          UpperCAmelCase_           =   "PNG" if image.mode in ["1", "L", "LA", "RGB", "RGBA"] else "TIFF"
     image.save(__lowerCamelCase					,    format=__lowerCamelCase			)
     return buffer.getvalue()





def 	lowerCAmelCase_				(					snake_case_       : "PIL.Image.Image"			)    ->      Any:


     '''simple docstring'''




     if hasattr(__lowerCamelCase					,    "filename"			) and image.filename != "":
          return {"path": image.filename, "bytes": None}
     else:
          return {"path": None, "bytes": image_to_bytes(__lowerCamelCase			)}





def 	lowerCAmelCase_				(					snake_case_       : np.ndarray			)    ->      Optional[int]:


     '''simple docstring'''




     if config.PIL_AVAILABLE:
          import PIL.Image
     else:
          raise ImportError("To support encoding images, please install 'Pillow'."			)

     UpperCAmelCase_           =   array.dtype
     UpperCAmelCase_           =   dtype.byteorder if dtype.byteorder != "=" else _NATIVE_BYTEORDER
     UpperCAmelCase_           =   dtype.kind
     UpperCAmelCase_           =   dtype.itemsize

     UpperCAmelCase_           =   None

     # Multi-channel array case (only np.dtype("|u1") is allowed)
     if array.shape[2:]:
          UpperCAmelCase_           =   np.dtype("|u1"			)
          if dtype_kind not in ["u", "i"]:
               raise TypeError(
                   f"""Unsupported array dtype {dtype} for image encoding. Only {dest_dtype} is supported for multi-channel arrays."""			)
          if dtype is not dest_dtype:
               warnings.warn(f"""Downcasting array dtype {dtype} to {dest_dtype} to be compatible with \'Pillow\'"""			)
    # Exact match
     elif dtype in _VALID_IMAGE_ARRAY_DTPYES:
          UpperCAmelCase_           =   dtype
     else:  # Downcast the type within the kind (np.can_cast(from_type, to_type, casting="same_kind") doesn't behave as expected, so do it manually)
          while dtype_itemsize >= 1:
               UpperCAmelCase_           =   dtype_byteorder + dtype_kind + str(__lowerCamelCase			)
               UpperCAmelCase_           =   np.dtype(__lowerCamelCase			)
               if dest_dtype in _VALID_IMAGE_ARRAY_DTPYES:
                    warnings.warn(f"""Downcasting array dtype {dtype} to {dest_dtype} to be compatible with \'Pillow\'"""			)
                    break
               else:
                    dtype_itemsize //= 2

     if dest_dtype is None:
          raise TypeError(
              f"""Cannot convert dtype {dtype} to a valid image dtype. Valid image dtypes: {_VALID_IMAGE_ARRAY_DTPYES}"""			)
     UpperCAmelCase_           =   PIL.Image.fromarray(array.astype(__lowerCamelCase			)			)
     return {"path": None, "bytes": image_to_bytes(__lowerCamelCase			)}






def 	lowerCAmelCase_				(					snake_case_       : Union[List[str], List[dict], List[np.ndarray], List["PIL.Image.Image"]]			)    ->      List[Any]:


     '''simple docstring'''




     if config.PIL_AVAILABLE:
          import PIL.Image
     else:
          raise ImportError("To support encoding images, please install 'Pillow'."			)

     if objs:
          UpperCAmelCase_           =   first_non_null_value(__lowerCamelCase			)
          if isinstance(__lowerCamelCase					,    __lowerCamelCase			):
               return [{"path": obj, "bytes": None} if obj is not None else None for obj in objs]
          if isinstance(__lowerCamelCase					,    np.ndarray			):
               UpperCAmelCase_           =   no_op_if_value_is_null(__lowerCamelCase			)
               return [obj_to_image_dict_func(__lowerCamelCase			) for obj in objs]
          elif isinstance(__lowerCamelCase					,    PIL.Image.Image			):
               UpperCAmelCase_           =   no_op_if_value_is_null(__lowerCamelCase			)
               return [obj_to_image_dict_func(__lowerCamelCase			) for obj in objs]
          else:
               return objs
     else:
          return objs











'''simple docstring'''


import math
def 							UpperCAmelCase_  (						__lowerCamelCase					:					int ):
   lowercase_			:Dict    			= []
   lowercase_			:List[Any]    			= 2
   lowercase_			:Optional[Any]    			= int(math.sqrt(__lowerCamelCase ) )  # Size of every segment
   lowercase_			:Optional[Any]    			= [True] * (end + 1)
   lowercase_			:Dict    			= []

   while start <= end:
      if temp[start] is True:
         in_prime.append(__lowerCamelCase )
         for i in range(start * start	,end + 1	,__lowerCamelCase ):
            lowercase_			:List[str]    			= False
      start += 1
   prime += in_prime

   lowercase_			:Dict    			= end + 1
   lowercase_			:Dict    			= min(2 * end	,__lowerCamelCase )

   while low <= n:
      lowercase_			:Any    			= [True] * (high - low + 1)
      for each in in_prime:
         lowercase_			:List[Any]    			= math.floor(low / each ) * each
         if t < low:
            t += each

         for j in range(__lowerCamelCase	,high + 1	,__lowerCamelCase ):
            lowercase_			:str    			= False

      for j in range(len(__lowerCamelCase ) ):
         if temp[j] is True:
            prime.append(j + low )

      lowercase_			:Dict    			= high + 1
      lowercase_			:Dict    			= min(high + end	,__lowerCamelCase )

   return prime


print(sieve(10**6))


