



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase):
					UpperCamelCase_			= []
					UpperCamelCase_			= len(_lowerCAmelCase)
					for i in range(_lowerCAmelCase):
										UpperCamelCase_			= []
										for j in range(_lowerCAmelCase):
															UpperCamelCase_			= 0
															for k in range(_lowerCAmelCase):
																				UpperCamelCase_			= val + matrix_a[i][k] * matrix_b[k][j]
															list_a.append(_lowerCAmelCase)
										matrix_c.append(_lowerCAmelCase)
					return matrix_c



def  _lowerCAmelCase     (_lowerCAmelCase):
					return [[int(row == column) for column in range(_lowerCAmelCase)] for row in range(_lowerCAmelCase)]



def  _lowerCAmelCase     (_lowerCAmelCase):
					if n <= 1:
										return n
					UpperCamelCase_			= identity(2)
					UpperCamelCase_			= [[1, 1], [1, 0]]
					UpperCamelCase_			= n - 1
					while n > 0:
										if n % 2 == 1:
															UpperCamelCase_			= multiply(_lowerCAmelCase ,						_lowerCAmelCase)
										UpperCamelCase_			= multiply(_lowerCAmelCase ,						_lowerCAmelCase)
										UpperCamelCase_			= int(n / 2)
					return res_matrix[0][0]



def  _lowerCAmelCase     (_lowerCAmelCase):
					if n <= 1:
										return n
					UpperCamelCase_			= 0
					UpperCamelCase_			= 1
					for _ in range(2 ,						n + 1):
										UpperCamelCase_	,     UpperCamelCase_			= fiba, fiba + fiba
					return fiba



def  _lowerCAmelCase     ():
					for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
										UpperCamelCase_			= 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(_lowerCAmelCase)} and using bruteforce is """
										    f"""{nth_fibonacci_bruteforce(_lowerCAmelCase)}\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 unittest
from dataclasses import dataclass
from typing import Optional

from transformers.utils import ModelOutput





@dataclass
class 				lowercase    (    __lowerCamelCase			):
   lowerCamelCase_            =42
   lowerCamelCase_            =None
   lowerCamelCase_            =None





class 				lowercase    (    unittest.TestCase			):


   def __UpperCAmelCase							( self					:						Tuple)   ->       Dict:
         lowercase_     			=   ModelOutputTest(a=30)
         self.assertEqual(x.a ,		30)
         self.assertIsNone(x.b)
         self.assertIsNone(x.c)
         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   x.d


   def __UpperCAmelCase							( self					:						List[str])   ->       Union[str, Any]:
         lowercase_     			=   ModelOutputTest(a=30 ,		b=10)
         self.assertEqual(x[0] ,		30)
         self.assertEqual(x[1] ,		10)
         self.assertEqual(x[:2] ,		(30, 10))
         self.assertEqual(x[:] ,		(30, 10))

         lowercase_     			=   ModelOutputTest(a=30 ,		c=10)
         self.assertEqual(x[0] ,		30)
         self.assertEqual(x[1] ,		10)
         self.assertEqual(x[:2] ,		(30, 10))
         self.assertEqual(x[:] ,		(30, 10))


   def __UpperCAmelCase							( self					:						Union[str, Any])   ->       List[str]:
         lowercase_     			=   ModelOutputTest(a=30 ,		b=10)
         self.assertEqual(x["a"] ,		30)
         self.assertEqual(x["b"] ,		10)
         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   x["c"]

         lowercase_     			=   ModelOutputTest(a=30 ,		c=10)
         self.assertEqual(x["a"] ,		30)
         self.assertEqual(x["c"] ,		10)
         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   x["b"]


   def __UpperCAmelCase							( self					:						List[str])   ->       List[str]:
         lowercase_     			=   ModelOutputTest(a=30)
         self.assertEqual(list(x.keys()) ,		["a"])
         self.assertEqual(list(x.values()) ,		[30])
         self.assertEqual(list(x.items()) ,		[("a", 30)])
         self.assertEqual(list(__lowerCAmelCase) ,		["a"])

         lowercase_     			=   ModelOutputTest(a=30 ,		b=10)
         self.assertEqual(list(x.keys()) ,		["a", "b"])
         self.assertEqual(list(x.values()) ,		[30, 10])
         self.assertEqual(list(x.items()) ,		[("a", 30), ("b", 10)])
         self.assertEqual(list(__lowerCAmelCase) ,		["a", "b"])

         lowercase_     			=   ModelOutputTest(a=30 ,		c=10)
         self.assertEqual(list(x.keys()) ,		["a", "c"])
         self.assertEqual(list(x.values()) ,		[30, 10])
         self.assertEqual(list(x.items()) ,		[("a", 30), ("c", 10)])
         self.assertEqual(list(__lowerCAmelCase) ,		["a", "c"])

         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   x.update({"d": 20})
         with self.assertRaises(__lowerCAmelCase):
               del x["a"]
         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   x.pop("a")
         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   x.setdefault("d" ,		32)


   def __UpperCAmelCase							( self					:						List[Any])   ->       Optional[int]:
         lowercase_     			=   ModelOutputTest(a=30)
         lowercase_     			=   10
         self.assertEqual(x.a ,		10)
         self.assertEqual(x["a"] ,		10)


   def __UpperCAmelCase							( self					:						List[Any])   ->       Any:
         lowercase_     			=   ModelOutputTest(a=30)
         lowercase_     			=   10
         self.assertEqual(x.a ,		10)
         self.assertEqual(x["a"] ,		10)


   def __UpperCAmelCase							( self					:						Union[str, Any])   ->       List[Any]:
         lowercase_     			=   ModelOutputTest({"a": 30, "b": 10})
         self.assertEqual(list(x.keys()) ,		["a", "b"])
         self.assertEqual(x.a ,		30)
         self.assertEqual(x.b ,		10)


   def __UpperCAmelCase							( self					:						List[str])   ->       str:
         lowercase_     			=   ModelOutputTest([("a", 30), ("b", 10)])
         self.assertEqual(list(x.keys()) ,		["a", "b"])
         self.assertEqual(x.a ,		30)
         self.assertEqual(x.b ,		10)

         with self.assertRaises(__lowerCAmelCase):
               lowercase_     			=   ModelOutputTest([("a", 30), (10, 10)])

         lowercase_     			=   ModelOutputTest(a=(30, 30))
         self.assertEqual(list(x.keys()) ,		["a"])
         self.assertEqual(x.a ,		(30, 30))






