
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
Yan is currently between his home and the shopping mall. He can either walk directly to the shopping mall or walk back home and then ride his bicycle to the mall. His bicycle speed is 5 times his walking speed, and both choices require the same amount of time. Determine the ratio of Yan's distance from his home to his distance from the shopping mall.

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