
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
The lateral edge of a pyramid is divided into 100 equal parts, and through the points of division, planes parallel to the base are drawn. Find the ratio of the areas of the largest and smallest of the resulting cross-sections.

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