
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
Beauty is a feeling. The closer the ratio of the length of the lower body to the height of the body is to $0.618$, the more beautiful it appears. It is known that a woman's height is $160cm$, and the ratio of the length $x$ of her lower body to her height $l$ is $0.60$. In order to achieve the best effect possible, the approximate height of the high heels she should wear is ______. (Round to the nearest $1cm$)

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