
def lowerCamelCase_       (			A			:      str		,					A			:      str		,					A			:      int		,					A			:      int		,					A			:      int		,					A			:      int		,					):




      """simple docstring"""
      lowerCAmelCase_						=      list(A						)
      lowerCAmelCase_						=      list(A						)
      lowerCAmelCase_						=      len(A						)
      lowerCAmelCase_						=      len(A						)

      lowerCAmelCase_						=      [
          [0 for _ in range(len_destination_seq + 1						)] for _ in range(len_source_seq + 1						)
      ]
      lowerCAmelCase_						=      [
          ['''0''' for _ in range(len_destination_seq + 1						)] for _ in range(len_source_seq + 1						)
      ]

      for i in range(1		,					len_source_seq + 1						):
            lowerCAmelCase_						=      i * delete_cost
            lowerCAmelCase_						=      F'D{source_seq[i - 1]:c}'

      for i in range(1		,					len_destination_seq + 1						):
            lowerCAmelCase_						=      i * insert_cost
            lowerCAmelCase_						=      F'I{destination_seq[i - 1]:c}'

      for i in range(1		,					len_source_seq + 1						):
            for j in range(1		,					len_destination_seq + 1						):
                  if source_seq[i - 1] == destination_seq[j - 1]:
                        lowerCAmelCase_						=      costs[i - 1][j - 1] + copy_cost
                        lowerCAmelCase_						=      F'C{source_seq[i - 1]:c}'
                  else:
                        lowerCAmelCase_						=      costs[i - 1][j - 1] + replace_cost
                        lowerCAmelCase_						=      F'R{source_seq[i - 1]:c}' + str(destination_seq[j - 1]						)

                  if costs[i - 1][j] + delete_cost < costs[i][j]:
                        lowerCAmelCase_						=      costs[i - 1][j] + delete_cost
                        lowerCAmelCase_						=      F'D{source_seq[i - 1]:c}'

                  if costs[i][j - 1] + insert_cost < costs[i][j]:
                        lowerCAmelCase_						=      costs[i][j - 1] + insert_cost
                        lowerCAmelCase_						=      F'I{destination_seq[j - 1]:c}'

      return costs, ops
def lowerCamelCase_       (			A			:      list[list[str]]		,					A			:      int		,					A			:      int						):




      """simple docstring"""
      if i == 0 and j == 0:
            return []
      else:
            if ops[i][j][0] == "C" or ops[i][j][0] == "R":
                  lowerCAmelCase_						=      assemble_transformation(A		,					i - 1		,					j - 1						)
                  seq.append(ops[i][j]						)
                  return seq
            elif ops[i][j][0] == "D":
                  lowerCAmelCase_						=      assemble_transformation(A		,					i - 1		,					A						)
                  seq.append(ops[i][j]						)
                  return seq
            else:
                  lowerCAmelCase_						=      assemble_transformation(A		,					A		,					j - 1						)
                  seq.append(ops[i][j]						)
                  return seq


if __name__ == "__main__":
 _snake_case  , _snake_case		  =   compute_transform_tables("Python", "Algorithms", -1, 1, 2, 2)

 _snake_case		  =   len(operations)
 _snake_case		  =   len(operations[0])
 _snake_case		  =   assemble_transformation(operations, m - 1, n - 1)

 _snake_case		  =   list("Python")
 _snake_case		  =   0
 _snake_case		  =   0

 with open("min_cost.txt", "w") as file:
  for op in sequence:
   print("".join(string))

   if op[0] == "C":
    file.write("%-16s" % "Copy %c" % op[1])
    file.write("\t\t\t" + "".join(string))
    file.write("\r\n")

    cost -= 1
   elif op[0] == "R":
    _snake_case		  =   op[2]

    file.write("%-16s" % ("Replace %c" % op[1] + " with " + str(op[2])))
    file.write("\t\t" + "".join(string))
    file.write("\r\n")

    cost += 1
   elif op[0] == "D":
    string.pop(i)

    file.write("%-16s" % "Delete %c" % op[1])
    file.write("\t\t\t" + "".join(string))
    file.write("\r\n")

    cost += 2
   else:
    string.insert(i, op[1])

    file.write("%-16s" % "Insert %c" % op[1])
    file.write("\t\t\t" + "".join(string))
    file.write("\r\n")

    cost += 2

   i += 1

  print("".join(string))
  print("Cost: ", cost)

  file.write("\r\nMinimum cost: " + str(cost))





from __future__ import annotations
def lowerCamelCase_       (			A			:      list[int]						):




      """simple docstring"""
      if not list_of_ints:
            return []

      if min(A						) < 0:
            raise ValueError('''All numbers must be positive'''						)

      lowerCAmelCase_						=      max(len(bin(A						)[2:]						) for x in list_of_ints						)
      return _msd_radix_sort(A		,					A						)
def lowerCamelCase_       (			A			:      list[int]		,					A			:      int						):




      """simple docstring"""
      if bit_position == 0 or len(A						) in [0, 1]:
            return list_of_ints

      lowerCAmelCase_						=      []
      lowerCAmelCase_						=      []
      # Split numbers based on bit at bit_position from the right
      for number in list_of_ints:
            if (number >> (bit_position - 1)) & 1:
                  # number has a one at bit bit_position
                  ones.append(A						)
            else:
                  # number has a zero at bit bit_position
                  zeros.append(A						)

    # recursively split both lists further
      lowerCAmelCase_						=      _msd_radix_sort(A		,					bit_position - 1						)
      lowerCAmelCase_						=      _msd_radix_sort(A		,					bit_position - 1						)

      # recombine lists
      lowerCAmelCase_						=      zeros
      res.extend(A						)

      return res
def lowerCamelCase_       (			A			:      list[int]						):




      """simple docstring"""
      lowerCAmelCase_						=      len(A						)
      if not list_of_ints or length == 1:
            return

      if min(A						) < 0:
            raise ValueError('''All numbers must be positive'''						)

      lowerCAmelCase_						=      max(len(bin(A						)[2:]						) for x in list_of_ints						)
      _msd_radix_sort_inplace(A		,					A		,					0		,					A						)
def lowerCamelCase_       (			A			:      list[int]		,					A			:      int		,					A			:      int		,					A			:      int						):




      """simple docstring"""
      if bit_position == 0 or end_index - begin_index <= 1:
            return

      bit_position -= 1

      lowerCAmelCase_						=      begin_index
      lowerCAmelCase_						=      end_index - 1
      while i <= j:
            lowerCAmelCase_						=      False
            if not (list_of_ints[i] >> bit_position) & 1:
                  # found zero at the beginning
                  i += 1
                  lowerCAmelCase_						=      True
            if (list_of_ints[j] >> bit_position) & 1:
                  # found one at the end
                  j -= 1
                  lowerCAmelCase_						=      True

            if changed:
                  continue

            lowerCAmelCase_			,		lowerCAmelCase_						=      list_of_ints[j], list_of_ints[i]
            j -= 1
            if j != i:
                  i += 1

      _msd_radix_sort_inplace(A		,					A		,					A		,					A						)
      _msd_radix_sort_inplace(A		,					A		,					A		,					A						)


if __name__ == "__main__":
 import doctest

 doctest.testmod()



