




'''simple docstring'''

def    snake_case__     (  a       ,      a	)			->       list[list[int]]:





			'''simple docstring'''






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




def    snake_case__     (  a	)			->       list[list[int]]:





			'''simple docstring'''






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




def    snake_case__     (  a	)			->       int:





			'''simple docstring'''






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




def    snake_case__     (  a	)			->       int:





			'''simple docstring'''






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




def    snake_case__     (  )			->       None:





			'''simple docstring'''






			for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
						snake_case__          =						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(a	)} and using bruteforce is """
						    F"""{nth_fibonacci_bruteforce(a	)}\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"""






from collections import namedtuple

UpperCamelCase_						   =   namedtuple('from_to', 'from_ to')

UpperCamelCase_						   =   {
    'atm': from_to(1, 1),
    'pascal': from_to(0.0_00_00_98, 101325),
    'bar': from_to(0.98_69_23, 1.0_13_25),
    'kilopascal': from_to(0.00_98_69_23, 1_01.3_25),
    'megapascal': from_to(9.8_69_23, 0.10_13_25),
    'psi': from_to(0.06_80_46, 14.69_59),
    'inHg': from_to(0.0_33_42_11, 29.92_13),
    'torr': from_to(0.00_13_15_79, 760),
}
def    UpperCamelCase						(					UpperCAmelCase ,   UpperCAmelCase ,   UpperCAmelCase     )						->float:

   """simple docstring"""



   if from_type not in PRESSURE_CONVERSION:
      raise ValueError(
          F'''Invalid \'from_type\' value: {from_type!r}  Supported values are:\n'''
          + ", ".join(UpperCAmelCase     )     )
   if to_type not in PRESSURE_CONVERSION:
      raise ValueError(
          F'''Invalid \'to_type\' value: {to_type!r}.  Supported values are:\n'''
          + ", ".join(UpperCAmelCase     )     )
   return (
       value * PRESSURE_CONVERSION[from_type].from_ * PRESSURE_CONVERSION[to_type].to
   )


if __name__ == "__main__":
      import doctest

      doctest.testmod()