
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 a park, 10,000 trees are planted in a square grid pattern (100 rows of 100 trees). What is the maximum number of trees that can be cut down such that if one stands on any stump, no other stumps are visible? (Trees can be considered thin enough for this condition.)


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