
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
In the English Enclosure Movement, Jack forcibly occupied a piece of land. In this place, there is one tree at each integer coordinate point. The occupied land is triangular with two vertices at (5,0) and (25,0), and the area is 200. How many trees can he occupy at most, including those on the boundary of the triangle?

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