



def A						(       __UpperCamelCase					)						->      Dict:
			A__       =    0
			A__       =    len(__A					)

			for i in range(n - 1					):
						for j in range(i + 1 ,	__A					):
									if arr[i] > arr[j]:
												num_inversions += 1

			return num_inversions


def A						(       __UpperCamelCase					)						->      Dict:




			if len(__A					) <= 1:
						return arr, 0
			A__       =    len(__A					) // 2
			A__       =    arr[0:mid]
			A__       =    arr[mid:]

			A__       =    count_inversions_recursive(__A					)
			A__       =    count_inversions_recursive(__A					)
			A__       =    _count_cross_inversions(__A ,	__A					)

			A__       =    inversion_p + inversions_q + cross_inversions
			return c, num_inversions


def A						(       __UpperCamelCase ,	__UpperCamelCase					)						->      Any:
			A__       =    []
			A__       =    0
			while i < len(__A					) and j < len(__A					):
						if p[i] > q[j]:
									# if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
									# These are all inversions. The claim emerges from the
									# property that P is sorted.
									num_inversion += len(__A					) - i
									r.append(q[j]					)
									j += 1
						else:
									r.append(p[i]					)
									i += 1

			if i < len(__A					):
						r.extend(p[i:]					)
			else:
						r.extend(q[j:]					)

			return r, num_inversion


def A						(       )						->      Dict:
			A__       =    [10, 2, 1, 5, 5, 2, 11]

			# this arr has 8 inversions:
			# (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

			A__       =    count_inversions_bf(__A					)
			A__       =    count_inversions_recursive(__A					)

			assert num_inversions_bf == num_inversions_recursive == 8

			print('number of inversions = ' ,	__A					)

			# testing an array with zero inversion (a sorted arr_1)

			arr_a.sort()
			A__       =    count_inversions_bf(__A					)
			A__       =    count_inversions_recursive(__A					)

			assert num_inversions_bf == num_inversions_recursive == 0
			print('number of inversions = ' ,	__A					)

			# an empty list should also have zero inversions
			A__       =    []
			A__       =    count_inversions_bf(__A					)
			A__       =    count_inversions_recursive(__A					)

			assert num_inversions_bf == num_inversions_recursive == 0
			print('number of inversions = ' ,	__A					)


if __name__ == "__main__":
							main()









import math
import random


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


# Initial Value
SCREAMING_SNAKE_CASE__       =      0.02


def A						(       __UpperCamelCase ,	__UpperCamelCase					)						->      float:
			A__       =    float(2 * (random.randint(1 ,	100					)) - 1					)

			for _ in range(__UpperCamelCase					):
						# Forward propagation
						A__       =    sigmoid_function(INITIAL_VALUE * weight					)
						# How much did we miss?
						A__       =    (expected / 100) - layer_a
						# Error delta
						A__       =    layer_1_error * sigmoid_function(__UpperCamelCase ,	__UpperCamelCase					)
						# Update weight
						weight += INITIAL_VALUE * layer_1_delta

			return layer_a * 100


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							SCREAMING_SNAKE_CASE__       =      int(input('''Expected value: '''))
							SCREAMING_SNAKE_CASE__       =      int(input('''Number of propagations: '''))
							print(forward_propagation(expected, number_propagations))




