
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
In an arrangement where integers from $1$ to $289$ are placed in a $17 \times 17$ grid, the number $1$ is positioned at the center of the grid (ninth row and ninth column), and numbers are placed one by one in a clockwise spiral starting from the center, find the sum of the greatest and the least number that appear in the third row from the top.

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