
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
Mr. Lee places all integers from $1$ to $289$ into a $17$ by $17$ grid. He starts by placing $1$ in the middle square (ninth row and ninth column) and fills the numbers one by one in a clockwise spiral pattern. Calculate 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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