<｜begin▁of▁sentence｜>### Instruction:
Alright, my little explorers! Imagine we're on a fun school adventure, walking along a special trail that connects little playhouses. This trail is like the game of hopscotch where we hop from one numbered square to the next. The squares are connected with lines that we can call "friendship bridges." 

Our trail starts at playhouse number 1 and ends at playhouse number 5. Along the way, the friendship bridges connect the playhouses in order: from playhouse 1 to playhouse 2, then to playhouse 3, after to playhouse 4, and lastly reaching playhouse 5. There's also a special rainbow bridge connecting playhouse 1 directly to playhouse 5.

We have a special rule: we can only bring two of our best friends with us while going from one playhouse to another to fit on our magic carpet. That means our group of friends walking together can't be more than three at each step on the trail, including the friend whose playhouse we're visiting!

Now, can you dream up which groups of friends from our playhouses we would visit with on our way from playhouse 1 to playhouse 5, making sure we stick to our special rule? Remember, our groups can't be too big; just us and two more friends, like a very cozy tea party!

If you need to remember which playhouses are connected, I can tell you again! Our adventure path starts at 1, goes to 2, then 3, 4, and ends at 5 with a rainbow bridge from 1 to 5. Happy imagining!
### Response:
import networkx as nx

# Create a chordal graph
G = nx.Graph()
G.add_edges_from([(1, 2), (2, 3), (3, 4), (4, 5), (1, 5)])

# Find the induced nodes in the path from node 1 to 5
induced_nodes = nx.find_induced_nodes(G, 1, 5, treewidth_bound=2)

# Print the sorted list of induced nodes
print(sorted(induced_nodes))
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