
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 county plans to reward 60 self-employed farmers who have lost their land, with a total budget of 100,000 yuan in 2010. The reward criteria are: 1,000 yuan for those who have been self-employed for more than one year; an additional 2,000 yuan for those who have also provided stable employment for more than 5 unemployed people for over a year. How many farmers fall into each category?

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