<｜begin▁of▁sentence｜>### Instruction:
Imagine you're gently guiding a new mother through the postpartum journey, and you've come across a circular sequence of tasks. In this cycle, there's one particular task—let's call it "Task Transition from 1 to 2"—that instead of contributing positively to her recovery, it's actually setting her back by, say, 7 units of effort or comfort (we might think of this as the "weight" of the task being negative). As her postpartum doula, you're trying to ensure a positively reinforcing routine. Do you think this sequence of tasks, with one possibly draining her energy, creates a situation where the overall cycle is detrimental to her well-being? 

Now, if you happened to chart out the tasks in a digital graph format for easier visualisation and long-term tracking—let's name the file "Postpartum_Care_Cycle.gml"—does the data suggest that there's a cycle of tasks with an overall negative impact on her postpartum recovery?
### Response:
import networkx as nx

# Create a directed graph
G = nx.cycle_graph(5, create_using=nx.DiGraph())

# Add a negative weight to one of the edges
G[1][2]['weight'] = -7

# Check for the existence of a negative edge cycle
neg_cycle_exists = nx.negative_edge_cycle(G, weight='weight')

print('Does a negative edge cycle exist? :', neg_cycle_exists)
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