"""simple docstring"""
SCREAMING_SNAKE_CASE__					  =     256
# Modulus to hash a string
SCREAMING_SNAKE_CASE__					  =     1_000_003





def       lowerCAmelCase__			(	_UpperCamelCase				: str       ,	_UpperCamelCase				: str    )    -> bool:





						"""simple docstring"""






						snake_case	    =	len(_snake_case    )
						snake_case	    =	len(_snake_case    )
						if p_len > t_len:
												return False

						snake_case	    =	0
						snake_case	    =	0
						snake_case	    =	1

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





def       lowerCAmelCase__			(	)    -> None:





						"""simple docstring"""






						snake_case	    =	"abc1abc12"
						snake_case	    =	"alskfjaldsabc1abc1abc12k23adsfabcabc"
						snake_case	    =	"alskfjaldsk23adsfabcabc"
						assert rabin_karp(_snake_case       ,	_snake_case    ) and not rabin_karp(_snake_case       ,	_snake_case    )

						# Test 2)
						snake_case	    =	"ABABX"
						snake_case	    =	"ABABZABABYABABX"
						assert rabin_karp(_snake_case       ,	_snake_case    )

						# Test 3)
						snake_case	    =	"AAAB"
						snake_case	    =	"ABAAAAAB"
						assert rabin_karp(_snake_case       ,	_snake_case    )

						# Test 4)
						snake_case	    =	"abcdabcy"
						snake_case	    =	"abcxabcdabxabcdabcdabcy"
						assert rabin_karp(_snake_case       ,	_snake_case    )

						# Test 5)
						snake_case	    =	"Lü"
						snake_case	    =	"Lüsai"
						assert rabin_karp(_snake_case       ,	_snake_case    )
						snake_case	    =	"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()
