
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 there are 10,000 trees planted in a square grid pattern (100 rows and 100 trees per row). What is the maximum number of trees that can be cut down such that if you stand on any stump, no other stump is visible? (You can assume the trees are sufficiently thin.)

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