
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
Two pedestrians set out at dawn. Each walked at a constant speed. One walked from $A$ to $B$, and the other from $B$ to $A$. They met at noon and, without stopping, one arrived at $B$ at 4 PM, and the other at $A$ at 9 PM. At what time was dawn that day?

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