
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
Thirteen stones are arranged in a straight line. They are counted from left to right as \(1,2,3, \ldots, 13\), and then from right to left, so that the stone previously counted as 12 is counted as 14. The pattern is continued to the left until the stone previously counted as 1 is counted as 25. The pattern then reverses so that the stone originally counted as 2 is counted as 26, and so on. The counting continues in this manner. Which of the original stones is counted as 197, and is it a prime number?

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