<｜begin▁of▁sentence｜>### Instruction:
If you have a directed graph with vertices x, a, b, c, d, e, y and edges with capacities as follows: (x, a) with capacity 3.0, (x, b) with capacity 1.0, (a, c) with capacity 3.0, (b, c) with capacity 5.0, (b, d) with capacity 4.0, (d, e) with capacity 2.0, (c, y) with capacity 2.0, (e, y) with capacity 3.0, how can you use NetworkX to calculate the minimum cut between 'x' as source and 'y' as sink, as well as the reachable and non-reachable sets in this cut?
### Response:
import networkx as nx

# Create a directed graph
G = nx.DiGraph()
G.add_edge("x", "a", capacity=3.0)
G.add_edge("x", "b", capacity=1.0)
G.add_edge("a", "c", capacity=3.0)
G.add_edge("b", "c", capacity=5.0)
G.add_edge("b", "d", capacity=4.0)
G.add_edge("d", "e", capacity=2.0)
G.add_edge("c", "y", capacity=2.0)
G.add_edge("e", "y", capacity=3.0)

# Compute the minimum cut
cut_value, partition = nx.minimum_cut(G, "x", "y")
reachable, non_reachable = partition

# Display the cut value and partition
print("Cut value:", cut_value)
print("Reachable:", reachable)
print("Non-reachable:", non_reachable)
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