<｜begin▁of▁sentence｜>### Instruction:
Given a directed graph with edges (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, and (e, y) with capacity 3.0, what is the maximum flow from node 'x' to node 'y' using Dinitz' algorithm?
### Response:
import networkx as nx
from networkx.algorithms.flow import dinitz

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)

R = dinitz(G, 'x', 'y')
flow_value = R.graph['flow_value']
print('The maximum flow from node x to node y is:', flow_value)
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