





'''simple docstring'''

class     __lowerCAmelCase					:






       """simple docstring"""





       def __init__(							self       :		int					)   ->					Tuple:

            '''simple docstring'''




            _UpperCamelCase       =	''''''
            _UpperCamelCase       =	''''''
            _UpperCamelCase       =	[]





       def snake_case__						(							self       :		Dict	,			lowerCAmelCase__       :		int	,			lowerCAmelCase__       :		int					)   ->					int:

            '''simple docstring'''




            if m == -1:
                 return n + 1
            elif n == -1:
                 return m + 1
            elif self.dp[m][n] > -1:
                 return self.dp[m][n]
            else:
                 if self.worda[m] == self.worda[n]:
                      _UpperCamelCase       =	self.__min_dist_top_down_dp(m - 1	,			n - 1					)
                 else:
                      _UpperCamelCase       =	self.__min_dist_top_down_dp(lowerCAmelCase__	,			n - 1					)
                      _UpperCamelCase       =	self.__min_dist_top_down_dp(m - 1	,			lowerCAmelCase__					)
                      _UpperCamelCase       =	self.__min_dist_top_down_dp(m - 1	,			n - 1					)
                      _UpperCamelCase       =	1 + min(lowerCAmelCase__	,			lowerCAmelCase__	,			lowerCAmelCase__					)

                 return self.dp[m][n]





       def snake_case__						(							self       :		List[str]	,			lowerCAmelCase__       :		str	,			lowerCAmelCase__       :		str					)   ->					int:

            '''simple docstring'''




            _UpperCamelCase       =	worda
            _UpperCamelCase       =	worda
            _UpperCamelCase       =	[[-1 for _ in range(len(lowerCAmelCase__					)					)] for _ in range(len(lowerCAmelCase__					)					)]

            return self.__min_dist_top_down_dp(len(lowerCAmelCase__					) - 1	,			len(lowerCAmelCase__					) - 1					)







       def snake_case__						(							self       :		List[Any]	,			lowerCAmelCase__       :		str	,			lowerCAmelCase__       :		str					)   ->					int:

            '''simple docstring'''




            _UpperCamelCase       =	worda
            _UpperCamelCase       =	worda
            _UpperCamelCase       =	len(lowerCAmelCase__					)
            _UpperCamelCase       =	len(lowerCAmelCase__					)
            _UpperCamelCase       =	[[0 for _ in range(n + 1					)] for _ in range(m + 1					)]

            for i in range(m + 1					):
                 for j in range(n + 1					):
                      if i == 0:  # first string is empty
                           _UpperCamelCase       =	j
                      elif j == 0:  # second string is empty
                           _UpperCamelCase       =	i
                      elif worda[i - 1] == worda[j - 1]:  # last characters are equal
                           _UpperCamelCase       =	self.dp[i - 1][j - 1]
                      else:
                           _UpperCamelCase       =	self.dp[i][j - 1]
                           _UpperCamelCase       =	self.dp[i - 1][j]
                           _UpperCamelCase       =	self.dp[i - 1][j - 1]
                           _UpperCamelCase       =	1 + min(lowerCAmelCase__	,			lowerCAmelCase__	,			lowerCAmelCase__					)
            return self.dp[m][n]


if __name__ == "__main__":
   lowercase__						:      int	=    EditDistance()

   print('****************** Testing Edit Distance DP Algorithm ******************')
   print()

   lowercase__						:      Optional[int]	=    input('Enter the first string: ').strip()
   lowercase__						:      Optional[Any]	=    input('Enter the second string: ').strip()

   print()
   print(F"""The minimum edit distance is: {solver.min_dist_top_down(Sa, Sa)}""")
   print(F"""The minimum edit distance is: {solver.min_dist_bottom_up(Sa, Sa)}""")
   print()
   print('*************** End of Testing Edit Distance DP Algorithm ***************')










'''simple docstring'''

from __future__ import annotations







def  a__    (    lowercase :					list[int], lowercase :					list[int], lowercase :					int				)		->		tuple[float, list[float]]:





     """simple docstring"""

     _UpperCamelCase       =	list(range(len(lowercase				)				)				)
     _UpperCamelCase       =	[v / w for v, w in zip(lowercase, lowercase				)]
     index.sort(key=lambda lowercase				: ratio[i], reverse=lowercase				)

     _UpperCamelCase       =	0
     _UpperCamelCase       =	[0] * len(lowercase				)
     for i in index:
          if weight[i] <= capacity:
               _UpperCamelCase       =	1
               max_value += value[i]
               capacity -= weight[i]
          else:
               _UpperCamelCase       =	capacity / weight[i]
               max_value += value[i] * capacity / weight[i]
               break

     return max_value, fractions


if __name__ == "__main__":
   import doctest

   doctest.testmod()



