
"""simple docstring"""







def 			A_			(					lowercase						, lowercase      )     ->							list[list[int]]:


     """simple docstring"""







     UpperCAmelCase_						:    Union[str, Any]    					=  []
     UpperCAmelCase_						:    Dict    					=  len(lowercase      )
     for i in range(lowercase      ):
          UpperCAmelCase_						:    Optional[Any]    					=  []
          for j in range(lowercase      ):
               UpperCAmelCase_						:    List[Any]    					=  0
               for k in range(lowercase      ):
                    UpperCAmelCase_						:    Tuple    					=  val + matrix_a[i][k] * matrix_b[k][j]
               list_a.append(lowercase      )
          matrix_c.append(lowercase      )
     return matrix_c




def 			A_			(					lowercase      )     ->							list[list[int]]:


     """simple docstring"""







     return [[int(row == column      ) for column in range(lowercase      )] for row in range(lowercase      )]




def 			A_			(					lowercase      )     ->							int:


     """simple docstring"""







     if n <= 1:
          return n
     UpperCAmelCase_						:    int    					=  identity(2      )
     UpperCAmelCase_						:    Dict    					=  [[1, 1], [1, 0]]
     UpperCAmelCase_						:    Dict    					=  n - 1
     while n > 0:
          if n % 2 == 1:
               UpperCAmelCase_						:    Union[str, Any]    					=  multiply(lowercase						, lowercase      )
          UpperCAmelCase_						:    List[str]    					=  multiply(lowercase						, lowercase      )
          UpperCAmelCase_						:    Any    					=  int(n / 2      )
     return res_matrix[0][0]




def 			A_			(					lowercase      )     ->							int:


     """simple docstring"""







     if n <= 1:
          return n
     UpperCAmelCase_						:    Optional[Any]    					=  0
     UpperCAmelCase_						:    List[str]    					=  1
     for _ in range(2						, n + 1      ):
          UpperCAmelCase_					,UpperCAmelCase_						:    Union[str, Any]    					=  fiba, fiba + fiba
     return fiba




def 			A_			(					)     ->							None:


     """simple docstring"""







     for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
          UpperCAmelCase_						:    Dict    					=  int("""""".join(c for c in ordinal if c in """0123456789"""      )      )  # 1000th --> 1000
          print(
              f'''{ordinal} fibonacci number using matrix exponentiation is '''
              f'''{nth_fibonacci_matrix(lowercase      )} and using bruteforce is '''
              f'''{nth_fibonacci_bruteforce(lowercase      )}\n'''      )
     # from timeit import timeit
     # print(timeit("nth_fibonacci_matrix(1000000)",
     #              "from main import nth_fibonacci_matrix", number=5))
     # print(timeit("nth_fibonacci_bruteforce(1000000)",
     #              "from main import nth_fibonacci_bruteforce", number=5))
     # 2.3342058970001744
     # 57.256506615000035


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       main()



"""simple docstring"""







import warnings

from .generation import GenerationMixin



class 		UpperCAmelCase_	(lowerCamelCase_						):
 """simple docstring"""




 warnings.warn(
     """Importing `GenerationMixin` from `src/transformers/generation_utils.py` is deprecated and will """
     """be removed in Transformers v5. Import as `from transformers import GenerationMixin` instead."""  , lowerCamelCase_  , )

