
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
As shown in the left picture, seven letters are placed in a circle. Each time, three circles containing the central circle (these three circles' centers form an equilateral triangle) are rotated clockwise by $120^\circ$. This is called an operation. For example, you can rotate $A, B, D$, so that $B$ appears in the original position of $D$ (denoted as $B \rightarrow D$), $D \rightarrow A$, $A \rightarrow B$. You can also rotate $D, E, F$ ($D \rightarrow E$, $E \rightarrow F$, $F \rightarrow D$), but you cannot rotate $A, D, G$ or $C, B, E$. After several operations, the right picture is obtained. What is the minimum number of operations needed?

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