<｜begin▁of▁sentence｜>### Instruction:
As a research analyst, you are tasked with collecting and analyzing data to generate insights and findings. In this scenario, you have been given a graph with the edge set [(0, 1), (0, 2), (1, 2), (2, 3), (3, 4)] and you need to use the distances method to calculate the shortest path lengths from vertex 0 to all other vertices. This task requires applying your knowledge of research methods and techniques to analyze the network structure and calculate the shortest paths.
### Response:
from igraph import Graph

# Create a graph with some edges
edges = [(0, 1), (0, 2), (1, 2), (2, 3), (3, 4)]
g = Graph(edges)

# Calculate shortest paths from vertex 0 to all other vertices
lengths = g.distances(0)

print(lengths)
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