

from __future__ import annotations
def        __SCREAMING_SNAKE_CASE    (      a__						:      float | int ,a__						:      float | int ,a__						:      float | int ,)				->							list[float | int]:
	if not all((nth_term, start_term_a, common_ratio_r)					):
		return []
	__A   : list[float | int]								= []
	__A   : Dict								= 1
	__A   : Tuple								= common_ratio_r
	for _ in range(int(a__					)					):
		if not series:
			series.append(a__					)
		else:
			power += 1
			series.append(float(start_term_a * multiple					)					)
			__A   : int								= pow(float(a__					) ,a__					)
	return series


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			UpperCAmelCase_       :				Dict		   =      float(input('''Enter the last number (n term) of the Geometric Series'''))
			UpperCAmelCase_       :				Union[str, Any]		   =      float(input('''Enter the starting term (a) of the Geometric Series'''))
			UpperCAmelCase_       :				Any		   =      float(
			    input('''Enter the common ratio between two terms (r) of the Geometric Series''')
			)
			print('''Formula of Geometric Series => a + ar + ar^2 ... +ar^n''')
			print(geometric_series(nth_term, start_term_a, common_ratio_r))








UpperCAmelCase_       :				str		   =      [
    [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],
    [0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
    [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0],
    [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0],
]
def        __SCREAMING_SNAKE_CASE    (      a__						:      int ,a__						:      int ,a__						:      int ,a__						:      int					)				->							bool:
	return 0 <= row < rows and 0 <= col < cols
def        __SCREAMING_SNAKE_CASE    (      a__						:      int ,a__						:      int ,a__						:      set ,a__						:      list[list[int]]					)				->							int:
	__A   : Union[str, Any]								= len(a__					)
	__A   : Any								= len(mat[0]					)
	if is_safe(a__ ,a__ ,a__ ,a__					) and (row, col) not in seen and mat[row][col] == 1:
		seen.add((row, col)					)
		return (
		    1
		    + depth_first_search(row + 1 ,a__ ,a__ ,a__					)
		    + depth_first_search(row - 1 ,a__ ,a__ ,a__					)
		    + depth_first_search(a__ ,col + 1 ,a__ ,a__					)
		    + depth_first_search(a__ ,col - 1 ,a__ ,a__					)
		)
	else:
		return 0
def        __SCREAMING_SNAKE_CASE    (      a__						:      list[list[int]]					)				->							int:
	__A   : set								= set()

	__A   : Union[str, Any]								= 0
	for row, line in enumerate(a__					):
		for col, item in enumerate(a__					):
			if item == 1 and (row, col) not in seen:
				# Maximizing the area
				__A   : Optional[Any]								= max(a__ ,depth_first_search(a__ ,a__ ,a__ ,a__					)					)
	return max_area


if __name__ == "__main__":
			import doctest

			print(find_max_area(matrix))  # Output -> 6
			doctest.testmod()





