<｜begin▁of▁sentence｜>### Instruction:
Given a graph with edge set [(0, 1), (1, 2), (2, 3), (3, 0), (0, 2)] and corresponding capacities [10, 5, 2, 8, 7], how can you use igraph's `st_mincut` function to calculate the minimum cut value between vertex 0 and vertex 3 as well as the partition of the vertices and the edges in the cut?
### Response:
import igraph as ig

# Create a graph with weighted edges
edges = [(0, 1), (1, 2), (2, 3), (3, 0), (0, 2)]
weights = [10, 5, 2, 8, 7]
g = ig.Graph(edges=edges)
g.es['capacity'] = weights

# Calculate the minimum cut between vertex 0 and vertex 3
cut_value, partition1, partition2, cut_edges = g.st_mincut(source=0, target=3, capacity='capacity')
print(f'Min cut value: {cut_value}')
print(f'Vertices in first partition: {partition1}')
print(f'Vertices in second partition: {partition2}')
print(f'Edges in the cut: {cut_edges}')
<|EOT|>
