
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
When Applejack begins to buck trees, she starts off with 100 energy. Every minute, she may either choose to buck  $n$  trees and lose 1 energy, where  $n$  is her current energy, or rest (i.e. buck 0 trees) and gain 1 energy. What is the maximum number of trees she can buck after 60 minutes have passed?

*Anderson Wang.*

<details><summary>Clarifications</summary>[list=1][*]The problem asks for the maximum *total* number of trees she can buck in 60 minutes, not the maximum number she can buck on the 61st minute.
[*]She does not have an energy cap. In particular, her energy may go above 100 if, for instance, she chooses to rest during the first minute.[/list]</details>

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