<｜begin▁of▁sentence｜>### Instruction:
Given a directed graph with edge capacities, how can you calculate the maximum flow from a source vertex to a target vertex and obtain the corresponding minimal cut information?
### Response:
import igraph as ig

# Create a directed graph
edges = [(0, 1), (0, 2), (1, 3), (2, 3)]
capacities = [10, 10, 4, 6]  # capacity of each edge
g = ig.Graph(edges, directed=True)
g.es['capacity'] = capacities  # setting the capacity for each edge

# Calculate the max flow from vertex 0 to vertex 3
flow = g.maxflow(source=0, target=3, capacity=g.es['capacity'])

# Print the value of the flow
print('The value of the max flow is:', flow.value)

# Flow on each edge
e_flow = flow.flow
print('Flow on each edge:', e_flow)

# Minimal cut edges
print('Edges in the minimal cut:', flow.cut)

# Partitions after removing minimal cut edges
print('Partitions:', flow.partition)
<|EOT|>
