<｜begin▁of▁sentence｜>### Instruction:
Imagine we have a group of five nutrients, and each nutrient should ideally interact with exactly three different digestive enzymes to be fully processed by the body. Now, if we wanted to map out a nutritional plan, ensuring each of those nutrients gets the necessary enzyme interaction, we could represent this scenario with a network. Here's the question reframed in our dietary context: Is the interaction pattern, where each nutrient requires engagement with three enzymes, a feasible arrangement that can be supported by the body's digestive network? This scenario can be likened to confirming the validity of a degree sequence [3, 3, 3, 3, 3] in terms of a graph structure. Can such a balanced and uniform nutrient-enzyme interaction pattern exist?
### Response:
import networkx as nx

# Define a degree sequence
sequence = [3, 3, 3, 3, 3]

# Check if the sequence is a valid degree sequence using the Erdős-Gallai algorithm
is_valid = nx.is_graphical(sequence, method='eg')

print('Is the degree sequence graphical?', is_valid)
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