
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
A monkey eats peaches every day, and the number of peaches it eats each day is different. What is the maximum number of days that 100 peaches can last for this monkey?

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