
"""simple docstring"""




def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
					SCREAMING_SNAKE_CASE				=	[]
					SCREAMING_SNAKE_CASE				=	len(SCREAMING_SNAKE_CASE_			)
					for i in range(SCREAMING_SNAKE_CASE_			):
										SCREAMING_SNAKE_CASE				=	[]
										for j in range(SCREAMING_SNAKE_CASE_			):
															SCREAMING_SNAKE_CASE				=	0
															for k in range(SCREAMING_SNAKE_CASE_			):
																				SCREAMING_SNAKE_CASE				=	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_			):
					return [[int(row == column			) for column in range(SCREAMING_SNAKE_CASE_			)] for row in range(SCREAMING_SNAKE_CASE_			)]

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

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

def   UpperCamelCase_  (		):
					for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
										SCREAMING_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(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"""




def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_			):
					if not isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										SCREAMING_SNAKE_CASE				=	(
										    'operation can not be conducted on a object of type '
										    f'''{type(SCREAMING_SNAKE_CASE_			).__name__}'''
										)
										raise TypeError(SCREAMING_SNAKE_CASE_			)
					SCREAMING_SNAKE_CASE				=	''
					for _ in range(0,     3_2			):
										bit_string += str(number % 2			)
										SCREAMING_SNAKE_CASE				=	number >> 1
					return bit_string

def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_			):
					if number < 0:
										raise ValueError('the value of input must be positive'			)
					elif isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										raise TypeError('Input value must be a \'int\' type'			)
					elif isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										raise TypeError('\'<\' not supported between instances of \'str\' and \'int\''			)
					SCREAMING_SNAKE_CASE				=	0
					# iterator over [1 to 32],since we are dealing with 32 bit integer
					for _ in range(1,     3_3			):
										# left shift the bits by unity
										SCREAMING_SNAKE_CASE				=	result << 1
										# get the end bit
										SCREAMING_SNAKE_CASE				=	number % 2
										# right shift the bits by unity
										SCREAMING_SNAKE_CASE				=	number >> 1
										# add that bit to our ans
										SCREAMING_SNAKE_CASE				=	result | end_bit
					return get_reverse_bit_string(SCREAMING_SNAKE_CASE_			)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
