
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
Fifteen stones are arranged in a circle. They are counted clockwise from 1 to 15, and then the counting continues counterclockwise from the stone counted as 14 to the stone originally counted as 2, and so on. The pattern reverses after each full circle. Which of the original stones is counted as 123? Express your answer as a single digit which corresponds to the first digit assigned to that stone.

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