
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
An environmental agency needs to hire new employees so that:
- 120 new employees will be able to monitor water pollution,
- 150 new employees will be able to monitor air pollution,
- 100 new employees will be able to monitor soil pollution,
- 50 employees will be able to monitor both water and air pollution,
- 30 employees will be able to monitor both air and soil pollution,
- 20 employees will be able to monitor both water and soil pollution,
- 10 employees will be able to monitor all three types of pollution.
What is the minimum number of employees that need to be hired?

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