
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 positioned between his home and a stadium. He has two choices to reach the stadium: either he can walk directly there, or he can walk back home and then ride his bicycle to the stadium. Riding his bicycle is 5 times faster than walking. Both options take the same amount of time. What is the ratio of Yan's distance from his home to his distance from the stadium?

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