
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
A space probe, moving in a straight line at a constant speed, flies past Mars and measures the distance to the planet exactly at 12:00 noon every day. It is known that on February 1st, the distance was 5 million km, on February 10th, it was 2 million km, and on February 13th, it was 3 million km. Determine when the probe will be at the minimum distance from Mars. In this problem, Mars can be considered as a point.

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