
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
At each move, Betül divides stones into three non-empty groups, and Ali removes the group with more stones. Express the minimum number of moves required for Betül to guarantee finding the marked stone.

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