
"""simple docstring"""






import timeit

class 				__a    :



							'''simple docstring'''







							def __init__(    self     ,						_lowerCamelCase					) ->       Optional[int]:




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





							def __mul__(    self     ,						_lowerCamelCase					) ->       List[str]:




										'''simple docstring'''
										__lowercase						      =					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     lowerCAmelCase__ (		__magic_name__ ,      __magic_name__			)	->Tuple:
			__lowercase						      =					Matrix([[1, 0], [0, 1]]			)
			while b > 0:
						if b & 1:
									matrix *= a
						a *= a
						b >>= 1
			return matrix



def     lowerCAmelCase__ (		__magic_name__ ,      __magic_name__ ,      __magic_name__			)	->int:
			# Trivial Cases
			if n == 1:
						return fa
			elif n == 2:
						return fa
			__lowercase						      =					Matrix([[1, 1], [1, 0]]			)
			__lowercase						      =					modular_exponentiation(__magic_name__ ,      n - 2			)
			return fa * matrix.t[0][0] + fa * matrix.t[0][1]



def     lowerCAmelCase__ (		__magic_name__ ,      __magic_name__ ,      __magic_name__			)	->int:
			# Trivial Cases
			if n == 1:
						return fa
			elif n == 2:
						return fa

			__lowercase						      =					fa
			__lowercase						      =					fa
			n -= 2

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

			return fn_a



def     lowerCAmelCase__ (		)	->str:
			__lowercase						      =					"\nfrom random import randint\nfrom __main__ import fibonacci_with_matrix_exponentiation\n"
			__lowercase						      =					"fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)"
			__lowercase						      =					timeit.timeit(setup=__magic_name__ ,      stmt=__magic_name__ ,      number=1_0_0			)
			print("With matrix exponentiation the average execution time is " ,      exec_time / 1_0_0			)
			return exec_time



def     lowerCAmelCase__ (		)	->Optional[Any]:
			__lowercase						      =					"\nfrom random import randint\nfrom __main__ import simple_fibonacci\n"
			__lowercase						      =					"simple_fibonacci(randint(1,70000), 1, 1)"
			__lowercase						      =					timeit.timeit(setup=__magic_name__ ,      stmt=__magic_name__ ,      number=1_0_0			)
			print(
			    "Without matrix exponentiation the average execution time is " ,      exec_time / 1_0_0			)
			return exec_time



def     lowerCAmelCase__ (		)	->Optional[int]:
			matrix_exponentiation_time()
			simple_fibonacci_time()


if __name__ == "__main__":
					main()







"""simple docstring"""






import os

from packaging import version

from .. import __version__
from .accelerate_utils import apply_forward_hook
from .constants import (
    CONFIG_NAME,
    DEPRECATED_REVISION_ARGS,
    DIFFUSERS_CACHE,
    DIFFUSERS_DYNAMIC_MODULE_NAME,
    FLAX_WEIGHTS_NAME,
    HF_MODULES_CACHE,
    HUGGINGFACE_CO_RESOLVE_ENDPOINT,
    ONNX_EXTERNAL_WEIGHTS_NAME,
    ONNX_WEIGHTS_NAME,
    SAFETENSORS_WEIGHTS_NAME,
    TEXT_ENCODER_ATTN_MODULE,
    WEIGHTS_NAME,
)
from .deprecation_utils import deprecate
from .doc_utils import replace_example_docstring
from .dynamic_modules_utils import get_class_from_dynamic_module
from .hub_utils import (
    HF_HUB_OFFLINE,
    _add_variant,
    _get_model_file,
    extract_commit_hash,
    http_user_agent,
)
from .import_utils import (
    BACKENDS_MAPPING,
    ENV_VARS_TRUE_AND_AUTO_VALUES,
    ENV_VARS_TRUE_VALUES,
    USE_JAX,
    USE_TF,
    USE_TORCH,
    DummyObject,
    OptionalDependencyNotAvailable,
    is_accelerate_available,
    is_accelerate_version,
    is_bsa_available,
    is_flax_available,
    is_ftfy_available,
    is_inflect_available,
    is_invisible_watermark_available,
    is_k_diffusion_available,
    is_k_diffusion_version,
    is_librosa_available,
    is_note_seq_available,
    is_omegaconf_available,
    is_onnx_available,
    is_safetensors_available,
    is_scipy_available,
    is_tensorboard_available,
    is_tf_available,
    is_torch_available,
    is_torch_version,
    is_torchsde_available,
    is_transformers_available,
    is_transformers_version,
    is_unidecode_available,
    is_wandb_available,
    is_xformers_available,
    requires_backends,
)
from .logging import get_logger
from .outputs import BaseOutput
from .pil_utils import PIL_INTERPOLATION, numpy_to_pil, pt_to_pil
from .torch_utils import is_compiled_module, randn_tensor


if is_torch_available():
					from .testing_utils import (
					    floats_tensor,
					    load_hf_numpy,
					    load_image,
					    load_numpy,
					    load_pt,
					    nightly,
					    parse_flag_from_env,
					    print_tensor_test,
					    require_torch_a,
					    require_torch_gpu,
					    skip_mps,
					    slow,
					    torch_all_close,
					    torch_device,
					)
					from .torch_utils import maybe_allow_in_graph

from .testing_utils import export_to_gif, export_to_video


_lowercase							 =							get_logger(__name__)



def     lowerCAmelCase__ (		__magic_name__			)	->Optional[int]:
			if version.parse(__magic_name__			) < version.parse(__magic_name__			):
						if "dev" in min_version:
									__lowercase						      =					(
									    "This example requires a source install from HuggingFace diffusers (see "
									    "`https://huggingface.co/docs/diffusers/installation#install-from-source`),"
									)
						else:
									__lowercase						      =					F'''This example requires a minimum version of {min_version},'''
						error_message += F''' but the version found is {__version__}.\n'''
						raise ImportError(__magic_name__			)





