<｜begin▁of▁sentence｜>### Instruction:
Given the famous 'Zachary' karate club graph, can you calculate the path length histogram of the graph considering undirected paths, and find the number of unconnected vertex pairs?
### Response:
import igraph as ig

# Load the graph
g = ig.Graph.Famous('Zachary')

# Calculate the path length histogram
directed = False # Set to True if you want to consider directed paths
path_length_histogram, unconnected_pairs = g.path_length_hist(directed=directed)

# Display the result
print('Path Length Histogram:', path_length_histogram)
print('Unconnected Vertex Pairs:', unconnected_pairs)
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