<｜begin▁of▁sentence｜>### Instruction:
Given a multigraph and its degree sequence, can you determine if this degree sequence can be realized by any multigraph? Further, how would this evaluation change if one of the degrees in the sequence is incremented?
### Response:
import networkx as nx

# Create a MultiGraph example
G = nx.MultiGraph([(1, 2), (1, 3), (2, 3), (3, 4), (4, 2), (5, 1), (5, 4)])

# Get the degree sequence of the multigraph
sequence = [d for _, d in G.degree()]

# Check if the degree sequence is multigraphical
is_multigraphical = nx.is_multigraphical(sequence)

print(f'The sequence {sequence} is multigraphical: {is_multigraphical}')

# Modify the sequence so it is no longer multigraphical
sequence[-1] += 1

# Check if the modified sequence is multigraphical
is_multigraphical_modified = nx.is_multigraphical(sequence)

print(f'The modified sequence {sequence} is multigraphical: {is_multigraphical_modified}')
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