
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
There are 100 students from grades three, four, and five participating in a tree-planting activity, and they planted a total of 566 trees. It is known that the number of students in grades three and four are equal. On average, each third-grade student plants 4 trees, each fourth-grade student plants 5 trees, and each fifth-grade student plants 6.5 trees. How many trees did the third-grade students plant in total?

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