





'''simple docstring'''






def      __A						(							a_						:  str      ,a_						:  Optional[int]      ,a_						:  Optional[int]      ,a_						:  Optional[Any]	):
		# Return True if there is node that has not iterated.
		lowerCAmelCase     :    int						=   [False] * len(a_	)
		lowerCAmelCase     :    int						=   []
		queue.append(a_	)
		lowerCAmelCase     :    str						=   True

		while queue:
				lowerCAmelCase     :    Dict						=   queue.pop(0	)
				for ind in range(len(graph[u]	)	):
						if visited[ind] is False and graph[u][ind] > 0:
								queue.append(a_	)
								lowerCAmelCase     :    str						=   True
								lowerCAmelCase     :    str						=   u

		return visited[t]






def      __A						(							a_						:  str      ,a_						:  Any      ,a_						:  Optional[Any]	):
		# This array is filled by BFS and to store path
		lowerCAmelCase     :    str						=   [-1] * (len(a_	))
		lowerCAmelCase     :    Any						=   0
		while bfs(a_      ,a_      ,a_      ,a_	):
				lowerCAmelCase     :    List[str]						=   float("Inf"	)
				lowerCAmelCase     :    List[str]						=   sink

				while s != source:
						# Find the minimum value in select path
						lowerCAmelCase     :    Any						=   min(a_      ,graph[parent[s]][s]	)
						lowerCAmelCase     :    List[Any]						=   parent[s]

				max_flow += path_flow
				lowerCAmelCase     :    Optional[int]						=   sink

				while v != source:
						lowerCAmelCase     :    List[str]						=   parent[v]
						graph[u][v] -= path_flow
						graph[v][u] += path_flow
						lowerCAmelCase     :    str						=   parent[v]
		return max_flow


lowerCAmelCase       		=      [
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

lowerCAmelCase		,						lowerCAmelCase       		=      0, 5

print(ford_fulkerson(graph, source, sink))










'''simple docstring'''






import numpy as np






def      __A						(							a_						:  np.array	):
		return 1 / (1 + np.exp(-vector	))


if __name__ == "__main__":
					import doctest

					doctest.testmod()



