
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
We know that the segment $PQ$ is straight and its length is at most $g$ meters. At point $O$, a whistle emits short sound signals at intervals of $2g/v$ seconds (where $v$ is the speed of sound). On the segment, the sound of the whistle can be heard at most at one place at the same time. Given points $O$ and $P$, what can we say about the position of $Q$?

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