
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 designing a human statue, making the ratio of the height of the upper part (above the waist) to the lower part (below the waist) equal to the ratio of the height of the lower part to the entire height can enhance the visual aesthetics. According to this ratio, design a Lei Feng statue with a height of $2m$. What is the designed height of the lower part of the statue?

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