
snake_case :		str							      =  256
# Modulus to hash a string
snake_case :		Dict							      =  1_000_003






def   lowerCAmelCase_						(					_snake_case      :  str      ,   _snake_case      :  str   )				->		bool:







	'''simple docstring'''


	__magic_name__		:		Tuple	   =     len(_snake_case   )
	__magic_name__		:		List[str]	   =     len(_snake_case   )
	if p_len > t_len:
		return False

	__magic_name__		:		Optional[Any]	   =     0
	__magic_name__		:		Optional[int]	   =     0
	__magic_name__		:		Optional[Any]	   =     1

	# Calculating the hash of pattern and substring of text
	for i in range(_snake_case   ):
		__magic_name__		:		Optional[Any]	   =     (ord(pattern[i]   ) + p_hash * alphabet_size) % modulus
		__magic_name__		:		int	   =     (ord(text[i]   ) + text_hash * alphabet_size) % modulus
		if i == p_len - 1:
			continue
		__magic_name__		:		List[Any]	   =     (modulus_power * alphabet_size) % modulus

	for i in range(0      ,   t_len - p_len + 1   ):
		if text_hash == p_hash and text[i : i + p_len] == pattern:
			return True
		if i == t_len - p_len:
			continue
		# Calculate the https://en.wikipedia.org/wiki/Rolling_hash
		__magic_name__		:		Any	   =     (
		    (text_hash - ord(text[i]   ) * modulus_power) * alphabet_size
		    + ord(text[i + p_len]   )
		) % modulus
	return False






def   lowerCAmelCase_						(					)				->		None:







	'''simple docstring'''


	__magic_name__		:		List[Any]	   =     "abc1abc12"
	__magic_name__		:		int	   =     "alskfjaldsabc1abc1abc12k23adsfabcabc"
	__magic_name__		:		List[str]	   =     "alskfjaldsk23adsfabcabc"
	assert rabin_karp(_snake_case      ,   _snake_case   ) and not rabin_karp(_snake_case      ,   _snake_case   )

	# Test 2)
	__magic_name__		:		str	   =     "ABABX"
	__magic_name__		:		Optional[int]	   =     "ABABZABABYABABX"
	assert rabin_karp(_snake_case      ,   _snake_case   )

	# Test 3)
	__magic_name__		:		List[Any]	   =     "AAAB"
	__magic_name__		:		Tuple	   =     "ABAAAAAB"
	assert rabin_karp(_snake_case      ,   _snake_case   )

	# Test 4)
	__magic_name__		:		Optional[Any]	   =     "abcdabcy"
	__magic_name__		:		Union[str, Any]	   =     "abcxabcdabxabcdabcdabcy"
	assert rabin_karp(_snake_case      ,   _snake_case   )

	# Test 5)
	__magic_name__		:		Any	   =     "Lü"
	__magic_name__		:		List[Any]	   =     "Lüsai"
	assert rabin_karp(_snake_case      ,   _snake_case   )
	__magic_name__		:		Dict	   =     "Lue"
	assert not rabin_karp(_snake_case      ,   _snake_case   )
	print("Success."   )


if __name__ == "__main__":
				test_rabin_karp()


def   lowerCAmelCase_						(					_snake_case      :  list[list[int | float]]   )				->		int:







	'''simple docstring'''


	__magic_name__		:		Any	   =     len(_snake_case   )
	__magic_name__		:		Optional[Any]	   =     len(matrix[0]   )
	__magic_name__		:		Union[str, Any]	   =     min(_snake_case      ,   _snake_case   )

	for row in range(_snake_case   ):
		# Check if diagonal element is not zero
		if matrix[row][row] != 0:
			# Eliminate all the elements below the diagonal
			for col in range(row + 1      ,   _snake_case   ):
				__magic_name__		:		Optional[Any]	   =     matrix[col][row] / matrix[row][row]
				for i in range(_snake_case      ,   _snake_case   ):
					matrix[col][i] -= multiplier * matrix[row][i]
		else:
			# Find a non-zero diagonal element to swap rows
			__magic_name__		:		str	   =     True
			for i in range(row + 1      ,   _snake_case   ):
				if matrix[i][row] != 0:
					__magic_name__   ,    __magic_name__		:		List[str]	   =     matrix[i], matrix[row]
					__magic_name__		:		Union[str, Any]	   =     False
					break
			if reduce:
				rank -= 1
				for i in range(_snake_case   ):
					__magic_name__		:		Any	   =     matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
			row -= 1

	return rank


if __name__ == "__main__":
				import doctest

				doctest.testmod()
