
import functools
from math import sqrt
from time import time





def        lowerCAmelCase       (				snake_case__   :      str				,					*snake_case__   :      Optional[int]				,					**snake_case__   :      Union[str, Any] )->			Tuple:
    A_								=					time()
    A_								=					func(*snake_case__				,					**snake_case__ )
    A_								=					time()
    if int(end - start ) > 0:
        print(f'{func.__name__} runtime: {(end - start):0.4f} s' )
    else:
        print(f'{func.__name__} runtime: {(end - start) * 1000:0.4f} ms' )
    return output





def        lowerCAmelCase       (				snake_case__   :      int )->			list[int]:
    if n < 0:
        raise Exception("n is negative" )
    if n == 0:
        return [0]
    A_								=					[0, 1]
    for _ in range(n - 1 ):
        fib.append(fib[-1] + fib[-2] )
    return fib





def        lowerCAmelCase       (				snake_case__   :      List[str] )->			list[int]:

    def fib_recursive_term(snake_case__   :      Any ) -> int:
        if i < 0:
            raise Exception("n is negative" )
        if i < 2:
            return i
        return fib_recursive_term(i - 1 ) + fib_recursive_term(i - 2 )

    if n < 0:
        raise Exception("n is negative" )
    return [fib_recursive_term(snake_case__ ) for i in range(n + 1 )]





def        lowerCAmelCase       (				snake_case__   :      Optional[int] )->			list[int]:

    @functools.cache
    def fib_recursive_term(snake_case__   :      int ) -> int:
        if i < 0:
            raise Exception("n is negative" )
        if i < 2:
            return i
        return fib_recursive_term(i - 1 ) + fib_recursive_term(i - 2 )

    if n < 0:
        raise Exception("n is negative" )
    return [fib_recursive_term(snake_case__ ) for i in range(n + 1 )]





def        lowerCAmelCase       (				snake_case__   :      List[str] )->			list[int]:
    if n < 0:
        raise Exception("n is negative" )
    # Cache must be outside recursuive function
    # other it will reset every time it calls itself.
    A_								=					{0: 0, 1: 1, 2: 1}  # Prefilled cache

    def rec_fn_memoized(snake_case__   :      int ) -> int:
        if num in cache:
            return cache[num]

        A_								=					rec_fn_memoized(num - 1 ) + rec_fn_memoized(num - 2 )
        A_								=					value
        return value

    return [rec_fn_memoized(snake_case__ ) for i in range(n + 1 )]





def        lowerCAmelCase       (				snake_case__   :      List[Any] )->			list[int]:
    if n < 0:
        raise Exception("n is negative" )
    if n >= 1475:
        raise Exception("n is too large" )
    A_								=					sqrt(5 )
    A_								=					(1 + sqrt_a) / 2
    return [round(phi**i / sqrt_a ) for i in range(n + 1 )]


if __name__ == "__main__":
     __magic_name__  :  Tuple     			=   3_0
     time_func(fib_iterative, num)
     time_func(fib_recursive, num)  # Around 3s runtime
     time_func(fib_recursive_cached, num)  # Around 0ms runtime
     time_func(fib_memoization, num)
     time_func(fib_binet, num)







def       a__      (					a  ,   a  ,   a  ,   a  ,   a  ,   a  ,   )		->	tuple[list[list[int]], list[list[str]]]:
       A_							:       Optional[Any]	      =				list(a							)
       A_							:       int	      =				list(a							)
       A_							:       Union[str, Any]	      =				len(a							)
       A_							:       Any	      =				len(a							)

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

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

                     if costs[i - 1][j] + delete_cost < costs[i][j]:
                            A_							:       Dict	      =				costs[i - 1][j] + delete_cost
                            A_							:       Optional[int]	      =				f"""D{source_seq[i - 1]:c}"""

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

       return costs, ops


def       a__      (					a  ,   a  ,   a							)		->	list[str]:
       if i == 0 and j == 0:
              return []
       else:
              if ops[i][j][0] == "C" or ops[i][j][0] == "R":
                     A_							:       Tuple	      =				assemble_transformation(a  ,   i - 1  ,   j - 1							)
                     seq.append(ops[i][j]							)
                     return seq
              elif ops[i][j][0] == "D":
                     A_							:       Any	      =				assemble_transformation(a  ,   i - 1  ,   a							)
                     seq.append(ops[i][j]							)
                     return seq
              else:
                     A_							:       Tuple	      =				assemble_transformation(a  ,   a  ,   j - 1							)
                     seq.append(ops[i][j]							)
                     return seq


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

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

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


