
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 regional environmental agency extends its monitoring responsibilities and now needs new employees to cover three areas: water pollution, air pollution, and soil pollution. They need 115 new employees for water pollution, 92 for air pollution, and 60 for soil pollution. However, 32 of these new employees should be able to monitor both water and air pollution, 20 both air and soil pollution, and 10 both soil and water pollution. Additionally, 5 employees should be able to monitor all three areas. What is the minimum number of employees that need to be hired?

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