




def    snake_case   (				A		,  A		,  A		,  A		,  A		,  A		,  )				->				tuple[list[list[int]], list[list[str]]]:




	'''simple docstring'''


	lowerCamelCase_				:						Dict				  =				list(SCREAMING_SNAKE_CASE__     )
	lowerCamelCase_				:						Dict				  =				list(SCREAMING_SNAKE_CASE__     )
	lowerCamelCase_				:						List[Any]				  =				len(SCREAMING_SNAKE_CASE__     )
	lowerCamelCase_				:						Dict				  =				len(SCREAMING_SNAKE_CASE__     )

	lowerCamelCase_				:						Tuple				  =				[
	    [0 for _ in range(len_destination_seq + 1     )] for _ in range(len_source_seq + 1     )
	]
	lowerCamelCase_				:						Union[str, 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_				:						Optional[int]				  =				i * delete_cost
		lowerCamelCase_				:						Any				  =				f"D{source_seq[i - 1]:c}"

	for i in range(1		,  len_destination_seq + 1     ):
		lowerCamelCase_				:						Optional[Any]				  =				i * insert_cost
		lowerCamelCase_				:						Tuple				  =				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_				:						int				  =				f"C{source_seq[i - 1]:c}"
			else:
				lowerCamelCase_				:						Any				  =				costs[i - 1][j - 1] + replace_cost
				lowerCamelCase_				:						Tuple				  =				f"R{source_seq[i - 1]:c}" + str(destination_seq[j - 1]     )

			if costs[i - 1][j] + delete_cost < costs[i][j]:
				lowerCamelCase_				:						int				  =				costs[i - 1][j] + delete_cost
				lowerCamelCase_				:						List[str]				  =				f"D{source_seq[i - 1]:c}"

			if costs[i][j - 1] + insert_cost < costs[i][j]:
				lowerCamelCase_				:						str				  =				costs[i][j - 1] + insert_cost
				lowerCamelCase_				:						List[str]				  =				f"I{destination_seq[j - 1]:c}"

	return costs, ops






def    snake_case   (				A		,  A		,  A     )				->				list[str]:




	'''simple docstring'''


	if i == 0 and j == 0:
		return []
	else:
		if ops[i][j][0] == "C" or ops[i][j][0] == "R":
			lowerCamelCase_				:						Optional[Any]				  =				assemble_transformation(SCREAMING_SNAKE_CASE__		,  i - 1		,  j - 1     )
			seq.append(ops[i][j]     )
			return seq
		elif ops[i][j][0] == "D":
			lowerCamelCase_				:						Union[str, Any]				  =				assemble_transformation(SCREAMING_SNAKE_CASE__		,  i - 1		,  SCREAMING_SNAKE_CASE__     )
			seq.append(ops[i][j]     )
			return seq
		else:
			lowerCamelCase_				:						Tuple				  =				assemble_transformation(SCREAMING_SNAKE_CASE__		,  SCREAMING_SNAKE_CASE__		,  j - 1     )
			seq.append(ops[i][j]     )
			return seq


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

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

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



import timeit


class 					A		:







    """simple docstring"""





    def __init__( self					:			Optional[int],lowercase_					:			Union[str, Any]						)->       List[str]:





        '''simple docstring'''







        if isinstance(lowercase_,lowercase_						):  # Initializes a matrix identical to the one provided.
            A__        =  arg
            A__        =  len(lowercase_						)
        else:  # Initializes a square matrix of the given size and set values to zero.
            A__        =  arg
            A__        =  [[0 for _ in range(self.n						)] for _ in range(self.n						)]


    def __mul__( self					:			Union[str, Any],lowercase_					:			List[Any]						)->       List[str]:





        '''simple docstring'''







        A__        =  Matrix(self.n						)
        for i in range(self.n						):
            for j in range(self.n						):
                for k in range(self.n						):
                    matrix.t[i][j] += self.t[i][k] * b.t[k][j]
        return matrix




def 		_snake_case(       SCREAMING_SNAKE_CASE__     :      List[Any]       ,     SCREAMING_SNAKE_CASE__     :      Optional[Any] )				-> Union[str, Any]:





    '''simple docstring'''






    A__        =  Matrix([[1, 0], [0, 1]] )
    while b > 0:
        if b & 1:
            matrix *= a
        a *= a
        b >>= 1
    return matrix
def 		_snake_case(       SCREAMING_SNAKE_CASE__     :      Optional[int]       ,     SCREAMING_SNAKE_CASE__     :      str       ,     SCREAMING_SNAKE_CASE__     :      Any )				-> List[str]:





    '''simple docstring'''






    if n == 1:
        return fa
    elif n == 2:
        return fa
    A__        =  Matrix([[1, 1], [1, 0]] )
    A__        =  modular_exponentiation(SCREAMING_SNAKE_CASE__       ,     n - 2 )
    return fa * matrix.t[0][0] + fa * matrix.t[0][1]
def 		_snake_case(       SCREAMING_SNAKE_CASE__     :      Dict       ,     SCREAMING_SNAKE_CASE__     :      Tuple       ,     SCREAMING_SNAKE_CASE__     :      Tuple )				-> Dict:





    '''simple docstring'''






    if n == 1:
        return fa
    elif n == 2:
        return fa

    A__        =  fa
    A__        =  fa
    n -= 2

    while n > 0:
        A__ ,		A__        =  fn_a + fn_a, fn_a
        n -= 1

    return fn_a
def 		_snake_case(       )				-> Optional[Any]:





    '''simple docstring'''






    A__        =  '\nfrom random import randint\nfrom __main__ import fibonacci_with_matrix_exponentiation\n'
    A__        =  'fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)'
    A__        =  timeit.timeit(setup=SCREAMING_SNAKE_CASE__       ,     stmt=SCREAMING_SNAKE_CASE__       ,     number=100 )
    print('With matrix exponentiation the average execution time is '       ,     exec_time / 100 )
    return exec_time
def 		_snake_case(       )				-> Optional[int]:





    '''simple docstring'''






    A__        =  '\nfrom random import randint\nfrom __main__ import simple_fibonacci\n'
    A__        =  'simple_fibonacci(randint(1,70000), 1, 1)'
    A__        =  timeit.timeit(setup=SCREAMING_SNAKE_CASE__       ,     stmt=SCREAMING_SNAKE_CASE__       ,     number=100 )
    print(
        'Without matrix exponentiation the average execution time is '       ,     exec_time / 100 )
    return exec_time
def 		_snake_case(       )				-> Union[str, Any]:





    '''simple docstring'''






    matrix_exponentiation_time()
    simple_fibonacci_time()


if __name__ == "__main__":
     main()

