

'''simple docstring'''





def        __lowercase    (  UpperCAmelCase__		,					UpperCAmelCase__		,					UpperCAmelCase__		,					UpperCAmelCase__      ):

					"""simple docstring"""






					__lowerCAmelCase					=							[False] * len(UpperCAmelCase__      )
					__lowerCAmelCase					=							[]
					queue.append(UpperCAmelCase__      )
					__lowerCAmelCase					=							True

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

					return visited[t]


def        __lowercase    (  UpperCAmelCase__		,					UpperCAmelCase__		,					UpperCAmelCase__      ):

					"""simple docstring"""






					__lowerCAmelCase					=							[-1] * (len(UpperCAmelCase__      ))
					__lowerCAmelCase					=							0
					while bfs(UpperCAmelCase__		,					UpperCAmelCase__		,					UpperCAmelCase__		,					UpperCAmelCase__      ):
										__lowerCAmelCase					=							float('Inf'      )
										__lowerCAmelCase					=							sink

										while s != source:
															# Find the minimum value in select path
															__lowerCAmelCase					=							min(UpperCAmelCase__		,					graph[parent[s]][s]      )
															__lowerCAmelCase					=							parent[s]

										max_flow += path_flow
										__lowerCAmelCase					=							sink

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


lowerCamelCase      				=     [
    [0, 1_6, 1_3, 0, 0, 0],
    [0, 0, 1_0, 1_2, 0, 0],
    [0, 4, 0, 0, 1_4, 0],
    [0, 0, 9, 0, 0, 2_0],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

lowerCamelCase				,				lowerCamelCase      				=     0, 5
print(ford_fulkerson(graph, source, sink))









def        __lowercase    (  UpperCAmelCase__		,					UpperCAmelCase__      ):

					"""simple docstring"""






					assert x is not None
					assert y is not None

					__lowerCAmelCase					=							len(UpperCAmelCase__      )
					__lowerCAmelCase					=							len(UpperCAmelCase__      )

					# declaring the array for storing the dp values
					__lowerCAmelCase					=							[[0] * (n + 1) for _ in range(m + 1      )]  # noqa: E741

					for i in range(1		,					m + 1      ):
										for j in range(1		,					n + 1      ):
															__lowerCAmelCase					=							1 if x[i - 1] == y[j - 1] else 0

															__lowerCAmelCase					=							max(l[i - 1][j]		,					l[i][j - 1]		,					l[i - 1][j - 1] + match      )

					__lowerCAmelCase					=							''
					__lowerCAmelCase,	__lowerCAmelCase					=							m, n
					while i > 0 and j > 0:
										__lowerCAmelCase					=							1 if x[i - 1] == y[j - 1] else 0

										if l[i][j] == l[i - 1][j - 1] + match:
															if match == 1:
																				__lowerCAmelCase					=							x[i - 1] + seq
															i -= 1
															j -= 1
										elif l[i][j] == l[i - 1][j]:
															i -= 1
										else:
															j -= 1

					return l[m][n], seq


if __name__ == "__main__":
		lowerCamelCase      				=     '''AGGTAB'''
		lowerCamelCase      				=     '''GXTXAYB'''
		lowerCamelCase      				=     4
		lowerCamelCase      				=     '''GTAB'''

		lowerCamelCase				,				lowerCamelCase      				=     longest_common_subsequence(a, b)
		print('''len =''', ln, ''', sub-sequence =''', subseq)
		import doctest

		doctest.testmod()






