
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
The integers \(1, 2, \ldots, 64\) are written in the squares of an \(8 \times 8\) chess board, such that for each \(1 \leq i < 64\), the numbers \(i\) and \(i+1\) are in squares that share an edge. What is the largest possible sum that can appear along one of the diagonals?

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