
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
A tech company needs to expand its teams so that 150 employees will work on hardware issues, 130 employees will work on software issues, and exactly 50 of these employees will work on both hardware and software issues. How many employees does the company need to hire at minimum?

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