
"""simple docstring"""

def 						UpperCAmelCase   (						a_,		a_,		a_,		a_,		a_,		a_,		):





		'''simple docstring'''


		lowerCamelCase	:     List[str]            =       list(a_     )
		lowerCamelCase	:     str            =       list(a_     )
		lowerCamelCase	:     Optional[Any]            =       len(a_     )
		lowerCamelCase	:     Any            =       len(a_     )

		lowerCamelCase	:     str            =       [
		    [0 for _ in range(len_destination_seq + 1     )] for _ in range(len_source_seq + 1     )
		]
		lowerCamelCase	:     Any            =       [
		    ['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	:     Tuple            =       i * delete_cost
				lowerCamelCase	:     Tuple            =       F"""D{source_seq[i - 1]:c}"""

		for i in range(1,		len_destination_seq + 1     ):
				lowerCamelCase	:     str            =       i * insert_cost
				lowerCamelCase	:     Dict            =       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	:     Optional[int]            =       costs[i - 1][j - 1] + copy_cost
								lowerCamelCase	:     List[str]            =       F"""C{source_seq[i - 1]:c}"""
						else:
								lowerCamelCase	:     List[Any]            =       costs[i - 1][j - 1] + replace_cost
								lowerCamelCase	:     str            =       F"""R{source_seq[i - 1]:c}""" + str(destination_seq[j - 1]     )

						if costs[i - 1][j] + delete_cost < costs[i][j]:
								lowerCamelCase	:     Optional[int]            =       costs[i - 1][j] + delete_cost
								lowerCamelCase	:     Any            =       F"""D{source_seq[i - 1]:c}"""

						if costs[i][j - 1] + insert_cost < costs[i][j]:
								lowerCamelCase	:     int            =       costs[i][j - 1] + insert_cost
								lowerCamelCase	:     str            =       F"""I{destination_seq[j - 1]:c}"""

		return costs, ops
def 						UpperCAmelCase   (						a_,		a_,		a_     ):





		'''simple docstring'''


		if i == 0 and j == 0:
				return []
		else:
				if ops[i][j][0] == "C" or ops[i][j][0] == "R":
						lowerCamelCase	:     List[str]            =       assemble_transformation(a_,		i - 1,		j - 1     )
						seq.append(ops[i][j]     )
						return seq
				elif ops[i][j][0] == "D":
						lowerCamelCase	:     Optional[int]            =       assemble_transformation(a_,		i - 1,		a_     )
						seq.append(ops[i][j]     )
						return seq
				else:
						lowerCamelCase	:     str            =       assemble_transformation(a_,		a_,		j - 1     )
						seq.append(ops[i][j]     )
						return seq


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

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

					_A				=					list('Python')
					_A				=					0
					_A				=					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":
																				_A				=					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))








"""simple docstring"""

def 						UpperCAmelCase   (						a_     ):





		'''simple docstring'''


		if not isinstance(a_,		a_     ):
				raise TypeError('recursive_lucas_number accepts only integer arguments.'     )
		if n_th_number == 0:
				return 2
		if n_th_number == 1:
				return 1

		return recursive_lucas_number(n_th_number - 1     ) + recursive_lucas_number(
		    n_th_number - 2     )
def 						UpperCAmelCase   (						a_     ):





		'''simple docstring'''


		if not isinstance(a_,		a_     ):
				raise TypeError('dynamic_lucas_number accepts only integer arguments.'     )
		lowerCamelCase      ,       lowerCamelCase	:     Optional[int]            =       2, 1
		for _ in range(a_     ):
				lowerCamelCase      ,       lowerCamelCase	:     Optional[int]            =       b, a + b
		return a


if __name__ == "__main__":
					from doctest import testmod

					testmod()
					_A				=					int(input('Enter the number of terms in lucas series:\n').strip())
					print('Using recursive function to calculate lucas series:')
					print(' '.join(str(recursive_lucas_number(i)) for i in range(n)))
					print('\nUsing dynamic function to calculate lucas series:')
					print(' '.join(str(dynamic_lucas_number(i)) for i in range(n)))






