
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
We have a brand new pencil. We sharpen the pencil. Every time the tip wears out, we sharpen it again until the length of the pencil is reduced to one tenth of its original length. Estimate what percentage of the pencil lead gets wasted during the sharpening.

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