
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
Number the 64 cells of an $8 \times 8$ grid from $1$ to $64$ such that for all $1 \leq i \leq 63$, the cells numbered $i$ and $i+1$ share a common edge. Find the maximum possible sum of the numbers of the eight cells on the main diagonal.

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