

'''simple docstring'''





import timeit





class 			snake_case_     :







			'''simple docstring'''

			def __init__(  self				:       Dict							,     _UpperCamelCase				:       List[Any]							)   ->Dict:






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







			def __mul__(  self				:       str							,     _UpperCamelCase				:       int							)   ->Optional[Any]:
									snake_case_     =			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 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ):
						snake_case_     =			Matrix([[1, 0], [0, 1]] )
						while b > 0:
												if b & 1:
																		matrix *= a
												a *= a
												b >>= 1
						return matrix


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ):
						# Trivial Cases
						if n == 1:
												return fa
						elif n == 2:
												return fa
						snake_case_     =			Matrix([[1, 1], [1, 0]] )
						snake_case_     =			modular_exponentiation(__lowerCAmelCase						,	n - 2 )
						return fa * matrix.t[0][0] + fa * matrix.t[0][1]


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ):
						# Trivial Cases
						if n == 1:
												return fa
						elif n == 2:
												return fa

						snake_case_     =			fa
						snake_case_     =			fa
						n -= 2

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

						return fn_a


def 						__SCREAMING_SNAKE_CASE      ():
						snake_case_     =			"\nfrom random import randint\nfrom __main__ import fibonacci_with_matrix_exponentiation\n"
						snake_case_     =			"fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)"
						snake_case_     =			timeit.timeit(setup=__lowerCAmelCase						,	stmt=__lowerCAmelCase						,	number=100 )
						print('''With matrix exponentiation the average execution time is '''						,	exec_time / 100 )
						return exec_time


def 						__SCREAMING_SNAKE_CASE      ():
						snake_case_     =			"\nfrom random import randint\nfrom __main__ import simple_fibonacci\n"
						snake_case_     =			"simple_fibonacci(randint(1,70000), 1, 1)"
						snake_case_     =			timeit.timeit(setup=__lowerCAmelCase						,	stmt=__lowerCAmelCase						,	number=100 )
						print(
						    '''Without matrix exponentiation the average execution time is '''						,	exec_time / 100 )
						return exec_time


def 						__SCREAMING_SNAKE_CASE      ():
						matrix_exponentiation_time()
						simple_fibonacci_time()


if __name__ == "__main__":
					main()


import warnings

from .generation import GenerationMixin





class 			snake_case_     (	__A      ):







			'''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."			, __A			, )