
"""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_						:    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_  , )

