
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

At 9 a.m., ships "Anin" and "Vanin" departed from port O to port E. At the same moment, the ship "Sanin" set off from port E to port O. All three vessels are traveling along the same course (with "Sanin" heading towards "Anin" and "Vanin") at constant but different speeds. At 10 a.m., "Vanin" was equidistant from both "Anin" and "Sanin." At 10:30 a.m., "Sanin" was equidistant from both "Anin" and "Vanin." At what moment will "Anin" be exactly in the middle between "Vanin" and "Sanin"?

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