
'''simple docstring'''
def   UpperCamelCase_       (		__SCREAMING_SNAKE_CASE,						__SCREAMING_SNAKE_CASE    ):
    """simple docstring"""






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

def   UpperCamelCase_       (		__SCREAMING_SNAKE_CASE    ):
    """simple docstring"""






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

def   UpperCamelCase_       (		__SCREAMING_SNAKE_CASE    ):
    """simple docstring"""






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

def   UpperCamelCase_       (		__SCREAMING_SNAKE_CASE    ):
    """simple docstring"""






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

def   UpperCamelCase_       (		):
    """simple docstring"""






    for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
        snake_case_	:      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(__SCREAMING_SNAKE_CASE    )} and using bruteforce is '
            f'{nth_fibonacci_bruteforce(__SCREAMING_SNAKE_CASE    )}\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 importlib.metadata
import sys

from transformers.testing_utils import TestCasePlus
from transformers.utils.versions import require_version, require_version_core


a_     =  importlib.metadata.version("numpy")
a_     =  ".".join([str(x) for x in sys.version_info[:3]])






class 				UpperCAmelCase_			(		snake_case__   ):





 def     snake_case__						(      self):
     # lt + different version strings
     require_version_core("numpy<1000.4.5")
     require_version_core("numpy<1000.4")
     require_version_core("numpy<1000")

     # le
     require_version_core("numpy<=1000.4.5")
     require_version_core(F'numpy<={numpy_ver}')

     # eq
     require_version_core(F'numpy=={numpy_ver}')

     # ne
     require_version_core("numpy!=1000.4.5")

     # ge
     require_version_core("numpy>=1.0")
     require_version_core("numpy>=1.0.0")
     require_version_core(F'numpy>={numpy_ver}')

     # gt
     require_version_core("numpy>1.0.0")

     # mix
     require_version_core("numpy>1.0.0,<1000")

     # requirement w/o version
     require_version_core("numpy")

     # unmet requirements due to version conflict
     for req in ["numpy==1.0.0", "numpy>=1000.0.0", F'numpy<{numpy_ver}']:
         try:
             require_version_core(lowercase_)
         except ImportError as e:
             self.assertIn(F'{req} is required'	,    str(lowercase_))
             self.assertIn("but found"	,    str(lowercase_))

        # unmet requirements due to missing module
     for req in ["numpipypie>1", "numpipypie2"]:
         try:
             require_version_core(lowercase_)
         except importlib.metadata.PackageNotFoundError as e:
             self.assertIn(F'The \'{req}\' distribution was not found and is required by this application'	,    str(lowercase_))
             self.assertIn("Try: pip install transformers -U"	,    str(lowercase_))

        # bogus requirements formats:
        # 1. whole thing
     for req in ["numpy??1.0.0", "numpy1.0.0"]:
         try:
             require_version_core(lowercase_)
         except ValueError as e:
             self.assertIn("requirement needs to be in the pip package format"	,    str(lowercase_))
        # 2. only operators
     for req in ["numpy=1.0.0", "numpy == 1.00", "numpy<>1.0.0", "numpy><1.00", "numpy>>1.0.0"]:
         try:
             require_version_core(lowercase_)
         except ValueError as e:
             self.assertIn("need one of "	,    str(lowercase_))





 def     snake_case__						(      self):
     # matching requirement
     require_version("python>=3.6.0")

     # not matching requirements
     for req in ["python>9.9.9", "python<3.0.0"]:
         try:
             require_version_core(lowercase_)
         except ImportError as e:
             self.assertIn(F'{req} is required'	,    str(lowercase_))
             self.assertIn(F'but found python=={python_ver}'	,    str(lowercase_))




