





import sys

UpperCamelCase__      =(
    '73167176531330624919225119674426574742355349194934'
    '96983520312774506326239578318016984801869478851843'
    '85861560789112949495459501737958331952853208805511'
    '12540698747158523863050715693290963295227443043557'
    '66896648950445244523161731856403098711121722383113'
    '62229893423380308135336276614282806444486645238749'
    '30358907296290491560440772390713810515859307960866'
    '70172427121883998797908792274921901699720888093776'
    '65727333001053367881220235421809751254540594752243'
    '52584907711670556013604839586446706324415722155397'
    '53697817977846174064955149290862569321978468622482'
    '83972241375657056057490261407972968652414535100474'
    '82166370484403199890008895243450658541227588666881'
    '16427171479924442928230863465674813919123162824586'
    '17866458359124566529476545682848912883142607690042'
    '24219022671055626321111109370544217506941658960408'
    '07198403850962455444362981230987879927244284909188'
    '84580156166097919133875499200524063689912560717606'
    '05886116467109405077541002256983155200055935729725'
    '71636269561882670428252483600823257530420752963450'
)






def     lowerCamelCase__			(__lowerCamelCase	):
     _SCREAMING_SNAKE_CASE       :	Optional[int]						    =							1
     for digit in s:
          product *= int(__lowerCamelCase	)
     return product






def     lowerCamelCase__			(__lowerCamelCase = N	):
     _SCREAMING_SNAKE_CASE       :	List[str]						    =							-sys.maxsize - 1
     _SCREAMING_SNAKE_CASE       :	Any						    =							n[:13]
     _SCREAMING_SNAKE_CASE       :	List[Any]						    =							13
     while cur_index < len(__lowerCamelCase	) - 13:
          if int(n[cur_index]	) >= int(substr[0]	):
               _SCREAMING_SNAKE_CASE       :	Tuple						    =							substr[1:] + n[cur_index]
               cur_index += 1
          else:
               _SCREAMING_SNAKE_CASE       :	List[Any]						    =							max(__lowerCamelCase,       str_eval(__lowerCamelCase	)	)
               _SCREAMING_SNAKE_CASE       :	Tuple						    =							n[cur_index : cur_index + 13]
               cur_index += 13
     return largest_product


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






from PIL import Image






def     lowerCamelCase__			(__lowerCamelCase	):
     _SCREAMING_SNAKE_CASE    ,			_SCREAMING_SNAKE_CASE       :	List[str]						    =							image.size
     _SCREAMING_SNAKE_CASE       :	Tuple						    =							0
     _SCREAMING_SNAKE_CASE       :	Dict						    =							image.load()
     for i in range(__lowerCamelCase	):
          for j in range(__lowerCamelCase	):
               _SCREAMING_SNAKE_CASE       :	List[Any]						    =							pixels[j, i]
               mean += pixel
     mean //= width * height

     for j in range(__lowerCamelCase	):
          for i in range(__lowerCamelCase	):
               _SCREAMING_SNAKE_CASE       :	int						    =							255 if pixels[i, j] > mean else 0
     return image


if __name__ == "__main__":
       UpperCamelCase__      =mean_threshold(Image.open('path_to_image').convert('L'))
       image.save('output_image_path')