<｜begin▁of▁sentence｜>### Instruction:
Given a graph with the edge set [(1, 2), (2, 3), (3, 1), (3, 4), (4, 5), (5, 6), (6, 4)], can you find its clusters and draw the graph using different colors for each cluster?
### Response:
from graph_tool.all import Graph, graph_draw

# Define the edges for the graph
g = Graph(directed=False)
edges = [(1, 2), (2, 3), (3, 1), (3, 4), (4, 5), (5, 6), (6, 4)]
g.add_edge_list(edges)

# Find the vertex groups (clusters)
comp, hist = g.label_components()

# Now we can draw the graph with vertex colors based on the component they belong to
group_artist = comp.a
group_artist = group_artist % 256  # Bound the values for use with 256 color palette
graph_draw(g, vertex_fill_color=group_artist, output_size=(200, 200))
<|EOT|>
