
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
Given that Yan rides seven times as fast as he walks and that walking directly to the stadium and walking home then riding a bicycle to the stadium require the same amount of time. If the distance from Yan's current position to his home is represented by $d_h$ and the distance from Yan's current position to the stadium is represented by $d_s$, find the ratio of $d_h$ to $d_s$.

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