
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
Consider a $5 \times 5$ rectangular array of points, where each point is 1 unit away from its nearest neighbors. A growing path is defined as a sequence of distinct points in the array where the distance between consecutive points is strictly increasing. Determine the maximum possible number of points, $m$, in such a growing path and the number of growing paths that consist of exactly $m$ points, $r$. Calculate $mr$.

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