
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 school plans to green an area of $1800m^{2}$ to beautify the campus and assigns two engineering teams, A and B, to complete the task. It is known that the area that team A can green in a day is twice that of team B, and when independently greening an area of $400m^{2}$, team A takes 4 fewer days than team B.

(1) Calculate the daily greening area of teams A and B, respectively.

(2) If team A needs to work for $a$ days, express the number of days team B needs to work in terms of $a$.

(3) If the school needs to pay a greening fee of $0.4$ ten thousand yuan to team A and $0.25$ ten thousand yuan to team B every day, in order not to exceed a total greening fee of $8$ ten thousand yuan this time, what is the minimum number of days that team A should work?

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