
'''simple docstring'''







def 					snake_case_		(				__SCREAMING_SNAKE_CASE					: Union[str, Any]							):



						"""simple docstring"""





						lowercase_	:     Optional[int]													=       generate_pascal_triangle(A__							)
						for row_idx in range(A__							):
												# Print left spaces
												for _ in range(num_rows - row_idx - 1							):
																		print(end=''' '''							)
												# Print row values
												for col_idx in range(row_idx + 1							):
																		if col_idx != row_idx:
																								print(triangle[row_idx][col_idx]      ,      end=''' '''							)
																		else:
																								print(triangle[row_idx][col_idx]      ,      end=''''''							)
												print()
def 					snake_case_		(				__SCREAMING_SNAKE_CASE					: Dict							):



						"""simple docstring"""





						if not isinstance(A__      ,      A__							):
												raise TypeError('''The input value of \'num_rows\' should be \'int\''''							)

						if num_rows == 0:
												return []
						elif num_rows < 0:
												raise ValueError(
												    '''The input value of \'num_rows\' should be greater than or equal to 0'''							)

						lowercase_	:     list[list[int]]													=       []
						for current_row_idx in range(A__							):
												lowercase_	:     Any													=       populate_current_row(A__      ,      A__							)
												triangle.append(A__							)
						return triangle
def 					snake_case_		(				__SCREAMING_SNAKE_CASE					: List[str]      ,      __SCREAMING_SNAKE_CASE					: Any							):



						"""simple docstring"""





						lowercase_	:     Optional[int]													=       [-1] * (current_row_idx + 1)
						# first and last elements of current row are equal to 1
						lowercase_	:     str													=       1, 1
						for current_col_idx in range(1      ,      A__							):
												calculate_current_element(
												    A__      ,      A__      ,      A__      ,      A__							)
						return current_row
def 					snake_case_		(				__SCREAMING_SNAKE_CASE					: Dict      ,      __SCREAMING_SNAKE_CASE					: Optional[Any]      ,      __SCREAMING_SNAKE_CASE					: str      ,      __SCREAMING_SNAKE_CASE					: List[str]      ,      ):



						"""simple docstring"""





						lowercase_	:     Dict													=       triangle[current_row_idx - 1][current_col_idx - 1]
						lowercase_	:     List[str]													=       triangle[current_row_idx - 1][current_col_idx]
						lowercase_	:     str													=       above_to_left_elt + above_to_right_elt
def 					snake_case_		(				__SCREAMING_SNAKE_CASE					: Dict							):



						"""simple docstring"""





						if not isinstance(A__      ,      A__							):
												raise TypeError('''The input value of \'num_rows\' should be \'int\''''							)

						if num_rows == 0:
												return []
						elif num_rows < 0:
												raise ValueError(
												    '''The input value of \'num_rows\' should be greater than or equal to 0'''							)

						lowercase_	:     list[list[int]]													=       [[1]]

						for row_index in range(1      ,      A__							):
												lowercase_	:     str													=       [0] + result[-1] + [0]
												lowercase_	:     str													=       row_index + 1
												# Calculate the number of distinct elements in a row
												lowercase_	:     Optional[int]													=       sum(divmod(A__      ,      2							)							)
												lowercase_	:     Dict													=       [
												    temp_row[i - 1] + temp_row[i] for i in range(1      ,      distinct_elements + 1							)
												]
												lowercase_	:     Optional[Any]													=       row_first_half[: (row_index + 1) // 2]
												row_second_half.reverse()
												lowercase_	:     Any													=       row_first_half + row_second_half
												result.append(A__							)

						return result
def 					snake_case_		(				):



						"""simple docstring"""





						from collections.abc import Callable
						from timeit import timeit

						def benchmark_a_function(__SCREAMING_SNAKE_CASE					: str      ,      __SCREAMING_SNAKE_CASE					: Optional[Any]							) -> None:
												lowercase_	:     List[str]													=       F'''{func.__name__}({value})'''
												lowercase_	:     Tuple													=       timeit(F'''__main__.{call}'''      ,      setup='''import __main__'''							)
												# print(f"{call:38} = {func(value)} -- {timing:.4f} seconds")
												print(F'''{call:38} -- {timing:.4f} seconds'''							)

						for value in range(15							):  # (1, 7, 14):
												for func in (generate_pascal_triangle, generate_pascal_triangle_optimized):
																		benchmark_a_function(A__      ,      A__							)
												print()


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							benchmark()










import math
import random



def A_	(		A__		,      A__ = False				)  ->		float:
       if deriv:
              return value * (1 - value)
       return 1 / (1 + math.exp(-value				))


# Initial Value
lowercase      :       Optional[Any]									=  0.02



def A_	(		A__		,      A__				)  ->		float:
       a__						:	int =				float(2 * (random.randint(1		,      100				)) - 1				)

       for _ in range(A__				):
              # Forward propagation
              a__						:	Union[str, Any] =				sigmoid_function(INITIAL_VALUE * weight				)
              # How much did we miss?
              a__						:	Optional[Any] =				(expected / 100) - layer_a
              # Error delta
              a__						:	Optional[int] =				layer_1_error * sigmoid_function(A__		,      A__				)
              # Update weight
              weight += INITIAL_VALUE * layer_1_delta

       return layer_a * 100


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    lowercase      :       Dict									=  int(input("""Expected value: """))
    lowercase      :       Dict									=  int(input("""Number of propagations: """))
    print(forward_propagation(expected, number_propagations))


