
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
Leo the fox has a  $5$  by  $5$  checkerboard grid with alternating red and black squares. He fills in the
grid with the numbers  $1, 2, 3, \dots, 25$  such that any two consecutive numbers are in adjacent squares
(sharing a side) and each number is used exactly once. He then computes the sum of the numbers in
the  $13$  squares that are the same color as the center square. Compute the maximum possible sum Leo
can obtain.

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