
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
On a plot of land, there are 10,000 trees planted in a grid with 100 rows and 100 columns, forming a neat square grid. What is the maximum number of trees that can be cut down such that from the position of any remaining tree, no other tree is obscured? You can assume the trees are thin enough that this rule is strictly followed.

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