
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Contractor Lucy agreed to complete a construction job in 45 days. After 9 days, she found that the 10 people assigned to her team had completed $\frac{1}{5}$ of the job. Assuming that everyone on the team works at the same rate, what is the minimum number of people Lucy must keep on the team to guarantee that the job will be completed on time?

Present the answer in LaTex format: \boxed{Your answer}
user