





"""simple docstring"""
def    A__							(     UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase   ,    UpperCamelCase   ,    ):
							A						=    list(UpperCamelCase			)
							A						=    list(UpperCamelCase			)
							A						=    len(UpperCamelCase			)
							A						=    len(UpperCamelCase			)

							A						=    [
							    [0 for _ in range(len_destination_seq + 1			)] for _ in range(len_source_seq + 1			)
							]
							A						=    [
							    ["0" for _ in range(len_destination_seq + 1			)] for _ in range(len_source_seq + 1			)
							]

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

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

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

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

							return costs, ops






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


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

		_snake_case	:						Tuple					=					len(operations)
		_snake_case	:						List[Any]					=					len(operations[0])
		_snake_case	:						List[str]					=					assemble_transformation(operations, m - 1, n - 1)

		_snake_case	:						List[str]					=					list('Python')
		_snake_case	:						Dict					=					0
		_snake_case	:						Optional[int]					=					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	:						Tuple					=					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"""
from functools import lru_cache






@lru_cache
def    A__							(     UpperCamelCase			):
							if not isinstance(UpperCamelCase   ,    UpperCamelCase			):
														raise TypeError("k must be an integer."			)
							if k < 0:
														raise ValueError("k integer must be greater or equal to zero."			)
							if k == 0:
														return 0
							elif k == 1:
														return 1
							else:
														return fibonacci(k - 1			) + fibonacci(k - 2			)






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							A						=    len(UpperCamelCase			)
							# Find m such that F_m >= n where F_i is the i_th fibonacci number.
							A						=    0
							while True:
														if fibonacci(UpperCamelCase			) >= len_list:
																					A						=    i
																					break
														i += 1
							A						=    0
							while fibb_k > 0:
														A						=    min(
														    offset + fibonacci(fibb_k - 1			)   ,    len_list - 1			)  # Prevent out of range
														A						=    arr[index_k]
														if item_k_1 == val:
																					return index_k
														elif val < item_k_1:
																					fibb_k -= 1
														elif val > item_k_1:
																					offset += fibonacci(fibb_k - 1			)
																					fibb_k -= 2
							else:
														return -1


if __name__ == "__main__":
		import doctest

		doctest.testmod()


