<｜begin▁of▁sentence｜>### Instruction:
As an archaeological conservator working with a team at a large archaeological excavation site, we are aiming to analyze the connectivity of different areas within the site to understand the pathways and connections between artifacts and structures. The team needs to calculate the path length histogram to capture the distribution of path lengths between different points of interest. Additionally, we are interested in identifying the number of unconnected pairs of artifacts and structures within the site to assess the level of disconnection. We are currently using networkx, a Python library for analyzing complex networks, to perform this task.
### 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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