<｜begin▁of▁sentence｜>### Instruction:
Given a Newman-Watts-Strogatz small world graph with 100 nodes, each connected to 20 nearest neighbors in a ring topology, and with a probability of 0.05 for adding a new edge, can you use the EgoNetSplitter model to find overlapping clusters in the graph?
### Response:
import networkx as nx
from karateclub import EgoNetSplitter

# Step 1: Generate a synthetic graph
G = nx.newman_watts_strogatz_graph(100, 20, 0.05)

# Step 2: Apply the EgoNetSplitter model
model = EgoNetSplitter(resolution=1.0, seed=42)
model.fit(G)

# Step 3: Get the cluster memberships
memberships = model.get_memberships()

print(memberships)
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