
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
Observe the number array below, it is easy to see that the number on the far right of the \\(n\\)th row is \\(n^2\\). Then, what is the middle number in the \\(8\\)th row?  
\\(1\\)  
\\(2\\)   \\(3\\)   \\(4\\)  
\\(5\\)   \\(6\\)   \\(7\\)   \\(8\\)   \\(9\\)  
\\(10\\)  \\(11\\)  \\(12\\)  \\(13\\)  \\(14\\)  \\(15\\)  \\(16\\)  
\\(17\\)  \\(18\\)  \\(19\\)  \\(20\\)  \\(21\\)  \\(22\\)  \\(23\\)  \\(24\\)  \\(25\\)  
\\(…\\)

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